Finite Group Databasebeta

← D59×#2521 #28757752

Subgroups — D59×#2521 #28757752

Order 15104.

2898 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#126×D59C211yesmaximal, characteristic, complemented
2C2×#124×D59C211yesmaximal, characteristic
3#21428806C211yesmaximal, characteristic, complemented
4#21428805C211yesmaximal, characteristic, complemented
5#21428804C211yesmaximal, characteristic, complemented
6#21428803C211yesmaximal, characteristic, complemented
7#21428802C211yesmaximal, characteristic, complemented
8#21428801C211yesmaximal, characteristic, complemented
9#21428800C211yesmaximal, characteristic, complemented
10#21428799C211yesmaximal, characteristic, complemented
11#21428798C211yesmaximal, characteristic, complemented
12#21428797C211yesmaximal, characteristic, complemented
13#21428796C211yesmaximal, characteristic, complemented
14#21428795C211yesmaximal, characteristic, complemented
15#21428794C211yesmaximal, characteristic, complemented
16#21428793C211yesmaximal, characteristic, complemented
17#21428792C211yesmaximal, characteristic, complemented
18#399×D59C211yesmaximal, characteristic, complemented
19#397×D59C211yesmaximal, characteristic, complemented
20#395×D59C211yesmaximal, characteristic, complemented
21#394×D59C211yesmaximal, characteristic
22#391×D59C211yesmaximal, characteristic, complemented
23#388×D59C211yesmaximal, characteristic, complemented
24#388×D59C211yesmaximal, characteristic, complemented
25#388×D59C211yesmaximal, characteristic, complemented
26#387×D59C211yesmaximal, characteristic, complemented
27#386×D59C211yesmaximal, characteristic
28#380×D59C211yesmaximal, characteristic, complemented
29C4×C4⋊C4×D59C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2521C211yesmaximal, characteristic, complemented
32C22×Q8×D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35C2×#14273722C2211yescharacteristic, complemented
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273722C2211yescharacteristic, complemented
38C2×#14273721C2211yescharacteristic, complemented
39C2×#14273720C2211yescharacteristic, complemented
40C2×#14273720C2211yescharacteristic, complemented
41C2×#14273720C2211yescharacteristic, complemented
42#126×D59—28no—
43C2×#14273716C2211yescharacteristic
44C2×#14273715C2211yescharacteristic
45C2×#14273714C2211yescharacteristic
46C2×#14273713C2211yescharacteristic
47C2×#14273713C2211yescharacteristic
48C2×#14273713C2211yescharacteristic
49C2×#14273713C2211yescharacteristic
50#124×D59—28no—
51C2×C4⋊C4×D59C2211yescharacteristic
52C2×C4⋊C4×D59C2211yescharacteristic
53C2×C4⋊C4×D59C2211yescharacteristic
54C2×C4⋊C4×D59C2211yescharacteristic
55C2×C4⋊C4×D59C2211yescharacteristic
56C2×C4⋊C4×D59C2211yescharacteristic
57C2×C4⋊C4×D59C2211yescharacteristic
58C2×C22⋊C4×D59C2211yescharacteristic
59C2×C22⋊C4×D59C2211yescharacteristic
60C2×C22⋊C4×D59C2211yescharacteristic
61C2×C22⋊C4×D59C2211yescharacteristic
62C2×C22⋊C4×D59C2211yescharacteristic
63C2×C22⋊C4×D59C2211yescharacteristic
64C2×C22⋊C4×D59C2211yescharacteristic
65C2×C22⋊C4×D59C2211yescharacteristic
66C2×C22⋊C4×D59C2211yescharacteristic
67C2×C22⋊C4×D59C2211yescharacteristic
68C2×C22⋊C4×D59C2211yescharacteristic
69C2×C42×D59C2211yescharacteristic
70C2×C42×D59C2211yescharacteristic
71C2×C42×D59C2211yescharacteristic
72C2×C42×D59C2211yescharacteristic
73#16837339C2211yescharacteristic, complemented
74#16837338C2211yescharacteristic, complemented
75#16837338C2211yescharacteristic, complemented
76#16837338C2211yescharacteristic, complemented
77#16837337C2211yescharacteristic, complemented
78#16837337C2211yescharacteristic, complemented
79#16837337C2211yescharacteristic, complemented
80#16837331C2211yescharacteristic, complemented
81#16837331C2211yescharacteristic, complemented
82#16837330C2211yescharacteristic, complemented
83#16837330C2211yescharacteristic, complemented
84#16837329C2211yescharacteristic, complemented
85#16837328C2211yescharacteristic, complemented
86#16837327C2211yescharacteristic, complemented
87#16837323C2211yescharacteristic, complemented
88#16837323C2211yescharacteristic, complemented
89#16837323C2211yescharacteristic, complemented
90#16837322C2211yescharacteristic, complemented
91#16837322C2211yescharacteristic, complemented
92#16837322C2211yescharacteristic, complemented
93#16837321C2211yescharacteristic, complemented
94#16837320C2211yescharacteristic
95#16837319C2211yescharacteristic
96#16837318C2211yescharacteristic
97#16837318C2211yescharacteristic
98#16837317C2211yescharacteristic
99#16837317C2211yescharacteristic
100#16837316C2211yescharacteristic
101#16837309C2211yescharacteristic, complemented
102#16837308C2211yescharacteristic, complemented
103#16837307C2211yescharacteristic, complemented
104#16837306C2211yescharacteristic, complemented
105#16837306C2211yescharacteristic, complemented
106#16837306C2211yescharacteristic, complemented
107#16837306C2211yescharacteristic, complemented
108#16837296C2211yescharacteristic, complemented
109#16837296C2211yescharacteristic, complemented
110#16837296C2211yescharacteristic, complemented
111#16837295C2211yescharacteristic, complemented
112#16837295C2211yescharacteristic, complemented
113#16837295C2211yescharacteristic, complemented
114#16837294C2211yescharacteristic, complemented
115#16837294C2211yescharacteristic, complemented
116#16837294C2211yescharacteristic, complemented
117#16837293C2211yescharacteristic, complemented
118#16837293C2211yescharacteristic, complemented
119#16837293C2211yescharacteristic, complemented
120#16837292C2211yescharacteristic, complemented
121#16837292C2211yescharacteristic, complemented
122#16837292C2211yescharacteristic, complemented
123#16837291C2211yescharacteristic, complemented
124#16837291C2211yescharacteristic, complemented
125#16837291C2211yescharacteristic, complemented
126#16837290C2211yescharacteristic, complemented
127#16837290C2211yescharacteristic, complemented
128#16837290C2211yescharacteristic, complemented
129#16837289C2211yescharacteristic, complemented
130#16837288C2211yescharacteristic, complemented
131#16837287C2211yescharacteristic, complemented
132#16837286C2211yescharacteristic, complemented
133#16837285C2211yescharacteristic, complemented
134#16837284C2211yescharacteristic, complemented
135#16837283C2211yescharacteristic, complemented
136#16837282C2211yescharacteristic
137#16837281C2211yescharacteristic
138#16837280C2211yescharacteristic
139#16837280C2211yescharacteristic
140#16837279C2211yescharacteristic
141#16837278C2211yescharacteristic
142#16837278C2211yescharacteristic
143#16837262C2211yescharacteristic, complemented
144#16837261C2211yescharacteristic, complemented
145#16837261C2211yescharacteristic, complemented
146#16837260C2211yescharacteristic, complemented
147#16837260C2211yescharacteristic, complemented
148#16837259C2211yescharacteristic, complemented
149#16837259C2211yescharacteristic, complemented
150C4⋊C4×Dic59C2211yescharacteristic, complemented
151C4⋊C4×Dic59C2211yescharacteristic, complemented
152C4×Dic59⋊C4C2211yescharacteristic, complemented
153C4×Dic59⋊C4C2211yescharacteristic, complemented
154C4×C4⋊Dic59C2211yescharacteristic, complemented
155#16837253C2211yescharacteristic, complemented
156#16837253C2211yescharacteristic, complemented
157C22⋊C4×Dic59C2211yescharacteristic, complemented
158C22⋊C4×Dic59C2211yescharacteristic, complemented
159C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
161C4×C22⋊Dic59C2211yescharacteristic, complemented
162#16837249C2211yescharacteristic, complemented
163#16837249C2211yescharacteristic, complemented
164#95×D59C2211yescharacteristic
165#95×D59C2211yescharacteristic
166#95×D59C2211yescharacteristic
167#95×D59C2211yescharacteristic
168#95×D59C2211yescharacteristic
169#95×D59C2211yescharacteristic
170#95×D59C2211yescharacteristic
171#95×D59C2211yescharacteristic
172#95×D59C2211yescharacteristic
173#95×D59C2211yescharacteristic
174C2×#126×C59C2211yescharacteristic, complemented
175C2×#124×C59C2211yescharacteristic
176C59×#399C2211yescharacteristic, complemented
177C59×#397C2211yescharacteristic, complemented
178C59×#395C2211yescharacteristic, complemented
179C59×#394C2211yescharacteristic
180C59×#391C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#387C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic
186C59×#380C2211yescharacteristic, complemented
187C4×C4⋊C4×C59C2211yescharacteristic, complemented
188C4×C22⋊C4×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×Dic118C2311yescharacteristic
193C22×Dic118C2311yescharacteristic
194C2×Q8×D59—24no—
195C2×Q8×D59—24no—
196C2×Q8×D59—42no—
197C22×D236C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C2×D4×D59—24no—
201C2×D4×D59—24no—
202C2×D4×D59—42no—
203C23×Dic59C2311yescharacteristic
204C22×C4×D59—24no—
205C22×C4×D59—24no—
206C22×C4×D59—42no—
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
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
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222#14273722—24no—
223#14273722—24no—
224#14273722—24no—
225#14273721—24no—
226#14273720—24no—
227#14273720—24no—
228#14273720—24no—
229#14273716—24no—
230#14273715—24no—
231#14273714—24no—
232#14273713—24no—
233#14273713—24no—
234#14273713—24no—
235#14273713—24no—
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×C4⋊Dic59C2311yescharacteristic
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
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
256C2×Dic59⋊C4C2311yescharacteristic
257C4⋊C4×D59—24no—
258C4⋊C4×D59—24no—
259C4⋊C4×D59—24no—
260C4⋊C4×D59—24no—
261C4⋊C4×D59—24no—
262C4⋊C4×D59—24no—
263C4⋊C4×D59—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×(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—
299C22⋊C4×D59—24no—
300C22⋊C4×D59—24no—
301C22⋊C4×D59—24no—
302C22⋊C4×D59—24no—
303C22⋊C4×D59—24no—
304C22⋊C4×D59—24no—
305C22⋊C4×D59—24no—
306C22⋊C4×D59—42no—
307C22⋊C4×D59D418yes—
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
312C2×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C42×D59—24no—
321C42×D59—24no—
322C42×D59—24no—
323C42×D59—42no—
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C22×Q8×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357#126×C59—24no—
358#124×C59—24no—
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C42×C59C2311yescharacteristic
378C2×C42×C59C2311yescharacteristic
379C2×C42×C59C2311yescharacteristic
380C2×C42×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C23×D59—22no—
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—22no—
404C23×D59—22no—
405C23×D59—22no—
406C23×D59C2×D414yes—
407C23×D59C2411yescharacteristic
408C23×D59C2411yescharacteristic
409C23×D59C2411yescharacteristic
410C2×Q8×C59—22no—
411C2×Q8×C59—22no—
412C2×Q8×C59—41no—
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C2×D4×C59—41no—
416C22×C4×C59—22no—
417C22×C4×C59—22no—
418C22×C4×C59—41no—
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C2×C22⋊D59—22no—
433C2×C22⋊D59—22no—
434C2×C22⋊D59—22no—
435C2×C22⋊D59—22no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59—41no—
438C22×Dic59—22no—
439C22×Dic59—22no—
440C22×Dic59—41no—
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454Q8×D59—416no—
455D4×D59—416no—
456C2×D236—22no—
457C2×D236—22no—
458C2×D236—41no—
459C2×C4×D59—22no—
460C2×C4×D59—22no—
461C2×C4×D59—22no—
462C2×C4×D59—22no—
463C2×C4×D59—22no—
464C2×C4×D59—22no—
465C2×C4×D59—22no—
466C2×C4×D59—22no—
467C2×C4×D59—22no—
468C2×C4×D59—22no—
469C2×C4×D59—22no—
470C2×C4×D59—22no—
471C2×C4×D59—22no—
472C2×C4×D59—22no—
473C2×C4×D59—22no—
474C2×C4×D59—22no—
475C2×C4×D59—22no—
476C2×C4×D59—22no—
477C2×C4×D59—22no—
478C2×C4×D59—22no—
479C2×C4×D59—22no—
480C2×C4×D59—22no—
481C2×C4×D59—22no—
482C2×C4×D59—22no—
483C2×C4×D59—22no—
484C2×C4×D59—22no—
485C2×C4×D59—22no—
486C2×C4×D59—22no—
487C2×C4×D59—22no—
488C2×C4×D59—22no—
489C2×C4×D59—22no—
490C2×C4×D59—22no—
491C2×C4×D59—22no—
492C2×C4×D59—22no—
493C2×C4×D59—22no—
494C2×C4×D59—22no—
495C2×C4×D59—22no—
496C2×C4×D59—416no—
497C2×C4×D59—41no—
498C2×C4×D59—41no—
499C2×C4×D59C2×D414yes—
500C2×C4×D59C2×D414yes—
501C2×C4×D59#4114yes—
502C2×C4×D59#4114yes—
503C2×C4×D59#4114yes—
504C2×C4×D59#4114yes—
505C2×Dic118—22no—
506C2×Dic118—22no—
507C2×Dic118—22no—
508C2×Dic118—22no—
509C2×Dic118—22no—
510C2×Dic118—22no—
511C2×Dic118—41no—
512C2×Dic118—41no—
513C2×Dic118—41no—
514C4⋊C4×C59—22no—
515C4⋊C4×C59—22no—
516C4⋊C4×C59—22no—
517C4⋊C4×C59—22no—
518C4⋊C4×C59—22no—
519C4⋊C4×C59—22no—
520C4⋊C4×C59—41no—
521C22⋊C4×C59—22no—
522C22⋊C4×C59—22no—
523C22⋊C4×C59—22no—
524C22⋊C4×C59—22no—
525C22⋊C4×C59—22no—
526C22⋊C4×C59—22no—
527C22⋊C4×C59—22no—
528C22⋊C4×C59—22no—
529C22⋊C4×C59—22no—
530C22⋊C4×C59—41no—
531C22⋊C4×C59C2×D414yes—
532C42×C59—22no—
533C42×C59—22no—
534C42×C59—22no—
535C42×C59—41no—
536C22⋊Dic59—22no—
537C22⋊Dic59—22no—
538C22⋊Dic59—22no—
539C22⋊Dic59—22no—
540C22⋊Dic59—22no—
541C22⋊Dic59—22no—
542C22⋊Dic59—22no—
543C22⋊Dic59—22no—
544C22⋊Dic59—22no—
545C22⋊Dic59—41no—
546C22⋊Dic59C2×D414yes—
547(C2×D59)⋊C4—22no—
548(C2×D59)⋊C4—22no—
549(C2×D59)⋊C4—22no—
550(C2×D59)⋊C4—22no—
551(C2×D59)⋊C4—22no—
552(C2×D59)⋊C4—22no—
553(C2×D59)⋊C4—22no—
554(C2×D59)⋊C4—22no—
555(C2×D59)⋊C4—22no—
556(C2×D59)⋊C4—22no—
557(C2×D59)⋊C4—22no—
558(C2×D59)⋊C4—22no—
559(C2×D59)⋊C4—22no—
560(C2×D59)⋊C4—22no—
561(C2×D59)⋊C4—22no—
562(C2×D59)⋊C4—22no—
563(C2×D59)⋊C4—22no—
564(C2×D59)⋊C4—22no—
565(C2×D59)⋊C4—41no—
566(C2×D59)⋊C4—41no—
567(C2×D59)⋊C4C2×D414yes—
568(C2×D59)⋊C4C2×D414yes—
569C4⋊Dic59—22no—
570C4⋊Dic59—22no—
571C4⋊Dic59—22no—
572C4⋊Dic59—22no—
573C4⋊Dic59—22no—
574C4⋊Dic59—22no—
575C4⋊Dic59—41no—
576Dic59⋊C4—22no—
577Dic59⋊C4—22no—
578Dic59⋊C4—22no—
579Dic59⋊C4—22no—
580Dic59⋊C4—22no—
581Dic59⋊C4—22no—
582Dic59⋊C4—22no—
583Dic59⋊C4—22no—
584Dic59⋊C4—22no—
585Dic59⋊C4—22no—
586Dic59⋊C4—22no—
587Dic59⋊C4—22no—
588Dic59⋊C4—41no—
589Dic59⋊C4—41no—
590C4×Dic59—22no—
591C4×Dic59—22no—
592C4×Dic59—22no—
593C4×Dic59—22no—
594C4×Dic59—22no—
595C4×Dic59—22no—
596C4×Dic59—22no—
597C4×Dic59—22no—
598C4×Dic59—22no—
599C4×Dic59—41no—
600C4×Dic59—41no—
601C4×Dic59—41no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59C22×D412yes—
616C23×C59C2511yescharacteristic
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—28no—
624C22×D59—28no—
625C22×D59—28no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—44no—
634C22×D59—44no—
635C22×D59—44no—
636C22×D59—44no—
637C22×D59—44no—
638C22×D59—44no—
639C22×D59—44no—
640C22×D59—44no—
641C22×D59—44no—
642C22×D59—44no—
643C22×D59—44no—
644C22×D59C22×D412yes—
645C22×D59C22×D412yes—
646C22×D59C2×#4112yes—
647C22×D59C2×#4112yes—
648C22×D59C2×#4112yes—
649C22×D59C2×#4112yes—
650C22×D59H(5,𝔽2)12yes—
651C22×D592−1+412yes—
652Q8×C59—44no—
653D4×C59—44no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—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—44no—
688C2×C4×C59C22×D412yes—
689C2×C4×C59C22×D412yes—
690C2×C4×C59C2×#4112yes—
691C2×C4×C59C2×#4112yes—
692C2×C4×C59C2×#4112yes—
693C2×C4×C59C2×#4112yes—
694C22⋊D59—44no—
695C22⋊D59—44no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—44no—
730C2×Dic59C22×D412yes—
731C2×Dic59C22×D412yes—
732C2×Dic59C2×#4112yes—
733C2×Dic59C2×#4112yes—
734C2×Dic59C2×#4112yes—
735C2×Dic59C2×#4112yes—
736D236—44no—
737C4×D59—28no—
738C4×D59—28no—
739C4×D59—28no—
740C4×D59—28no—
741C4×D59—28no—
742C4×D59—28no—
743C4×D59—44no—
744C4×D59—44no—
745C4×D59—44no—
746C4×D59—44no—
747C4×D59—44no—
748C4×D59—44no—
749C4×D59—44no—
750C4×D59—44no—
751C4×D59—44no—
752Dic118—44no—
753Dic118—44no—
754Dic118—44no—
755C2×#2521—591nomaximal, Sylow
756C22×C59—22no—
757C22×C59—22no—
758C22×C59—22no—
759C22×C59—41no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59—41no—
769C22×C59—41no—
770C22×C59C23×D411yescharacteristic
771C22×C59C22×#4111yescharacteristic
772C22×C59C22×#4111yescharacteristic
773C22×C59C22×#4111yescharacteristic
774C22×C59C22×#4111yescharacteristic
775C22×C59C2×H(5,𝔽2)11yescharacteristic
776C22×C59C2×2−1+411yescharacteristic
777C2×D59—22no—
778C2×D59—22no—
779C2×D59—22no—
780C2×D59—41no—
781C2×D59—41no—
782C2×D59—41no—
783C2×D59—41no—
784C2×D59—416no—
785C2×D59—41no—
786C2×D59—41no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—88no—
793C2×D59#52914yes—
794C2×D59#53214yes—
795C2×D59#54214yes—
796C2×D59#54614yes—
797C2×D59#54714yes—
798C2×D59#55114yes—
799C2×D59#55614yes—
800C4×C59—22no—
801C4×C59—22no—
802C4×C59—22no—
803C4×C59—22no—
804C4×C59—22no—
805C4×C59—22no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810C4×C59—41no—
811C4×C59—41no—
812C4×C59—41no—
813Dic59—22no—
814Dic59—22no—
815Dic59—22no—
816Dic59—22no—
817Dic59—22no—
818Dic59—22no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823Dic59—41no—
824Dic59—41no—
825Dic59—41no—
826C22×#126—591no—
827C22×#124—591no—
828#2521—591no—
829#2521—591no—
830#2521—591no—
831#2521—591no—
832#2521—591no—
833#2521—591no—
834#2521—591no—
835#2521—591no—
836#2521—591no—
837#2521—591no—
838#2521—591no—
839#2521—591no—
840#2521—591no—
841#2521—591no—
842#2521—591no—
843#2521D5911yescharacteristic, direct product factor
844C2×#399—591no—
845C2×#397—591no—
846C2×#395—591no—
847C2×#394—591no—
848C2×#391—591no—
849C2×#388—591no—
850C2×#388—591no—
851C2×#388—591no—
852C2×#387—591no—
853C2×#386—591no—
854C2×#380—591no—
855C2×C4×C4⋊C4—591no—
856C2×C4×C22⋊C4—591no—
857C2×C59—42no—
858C2×C59—81no—
859C2×C59C2×#52911yescharacteristic
860C2×C59C2×#53211yescharacteristic
861C2×C59C2×#54211yescharacteristic
862C2×C59C2×#54611yescharacteristic
863C2×C59C2×#54711yescharacteristic
864C2×C59C2×#55111yescharacteristic
865C2×C59C2×#55611yescharacteristic
866D59—42no—
867D59—81no—
868D59#252118yesdirect product factor
869C23×Q8—591no—
870C23×D4—591no—
871C24×C4—591no—
872C2×#126—591no—
873C2×#126—591no—
874C2×#126—591no—
875C2×#126—591no—
876C2×#126—591no—
877C2×#126—591no—
878C2×#126—591no—
879C2×#126—1188no—
880C2×#126C2×D5911yescharacteristic, complemented
881C2×#124—591no—
882C2×#124—591no—
883C2×#124—591no—
884C2×#124—591no—
885C2×#124—591no—
886C2×#124—591no—
887C2×#124—591no—
888C2×#124—1188no—
889C2×#124C2×D5911yescharacteristic
890C22×C4⋊C4—591no—
891C22×C4⋊C4—591no—
892C22×C4⋊C4—591no—
893C22×C4⋊C4—591no—
894C22×C4⋊C4—591no—
895C22×C4⋊C4—591no—
896C22×C4⋊C4—591no—
897C22×C22⋊C4—591no—
898C22×C22⋊C4—591no—
899C22×C22⋊C4—591no—
900C22×C22⋊C4—591no—
901C22×C22⋊C4—591no—
902C22×C22⋊C4—591no—
903C22×C22⋊C4—591no—
904C22×C22⋊C4—591no—
905C22×C22⋊C4—591no—
906C22×C22⋊C4—591no—
907C22×C22⋊C4—591no—
908C22×C42—591no—
909C22×C42—591no—
910C22×C42—591no—
911C22×C42—591no—
912#399—591no—
913#399—591no—
914#399—591no—
915#399—591no—
916#399—591no—
917#399—591no—
918#399—591no—
919#399C2×D5911yescharacteristic, complemented
920#397—591no—
921#397—591no—
922#397—591no—
923#397—591no—
924#397—591no—
925#397—591no—
926#397—591no—
927#397C2×D5911yescharacteristic, complemented
928#395—591no—
929#395—591no—
930#395—591no—
931#395—591no—
932#395—591no—
933#395—591no—
934#395—591no—
935#395C2×D5911yescharacteristic, complemented
936#394—591no—
937#394—591no—
938#394—591no—
939#394—591no—
940#394—591no—
941#394—591no—
942#394—591no—
943#394C2×D5911yescharacteristic
944#391—591no—
945#391—591no—
946#391—591no—
947#391—591no—
948#391—591no—
949#391—591no—
950#391—591no—
951#391C2×D5911yescharacteristic, complemented
952#388—591no—
953#388—591no—
954#388—591no—
955#388—591no—
956#388—591no—
957#388—591no—
958#388—591no—
959#388—591no—
960#388—591no—
961#388—591no—
962#388—591no—
963#388—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388—591no—
972#388—591no—
973#388C2×D5911yescharacteristic, complemented
974#388C2×D5911yescharacteristic, complemented
975#388C2×D5911yescharacteristic, complemented
976#387—591no—
977#387—591no—
978#387—591no—
979#387—591no—
980#387—591no—
981#387—591no—
982#387—591no—
983#387C2×D5911yescharacteristic, complemented
984#386—591no—
985#386—591no—
986#386—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386C2×D5911yescharacteristic
992#380—591no—
993#380—591no—
994#380—591no—
995#380—591no—
996#380—591no—
997#380—591no—
998#380—591no—
999#380C2×D5911yescharacteristic, complemented
1000C4×C4⋊C4—591no—
1001C4×C4⋊C4—591no—
1002C4×C4⋊C4—591no—
1003C4×C4⋊C4—591no—
1004C4×C4⋊C4—591no—
1005C4×C4⋊C4—591no—
1006C4×C4⋊C4—591no—
1007C4×C4⋊C4C2×D5911yescharacteristic, complemented
1008C4×C22⋊C4—591no—
1009C4×C22⋊C4—591no—
1010C4×C22⋊C4—591no—
1011C4×C22⋊C4—591no—
1012C4×C22⋊C4—591no—
1013C4×C22⋊C4—591no—
1014C4×C22⋊C4—591no—
1015C4×C22⋊C4C2×D5911yescharacteristic, complemented
1016C2×#95—591no—
1017C2×#95—591no—
1018C2×#95—591no—
1019C2×#95—591no—
1020C2×#95—591no—
1021C2×#95—591no—
1022C2×#95—591no—
1023C2×#95—591no—
1024C2×#95—591no—
1025C2×#95—591no—
1026C59C2×#252111yescharacteristic, complemented, Sylow
1027C25—591no—
1028C25—591no—
1029C22×Q8—591no—
1030C22×Q8—591no—
1031C22×Q8—591no—
1032C22×Q8—1184no—
1033C22×Q8—1184no—
1034C22×Q8—2362no—
1035C22×Q8C22×D5911yescharacteristic
1036C22×D4—591no—
1037C22×D4—591no—
1038C22×D4—591no—
1039C22×D4—1184no—
1040C22×D4—1184no—
1041C22×D4—2362no—
1042C22×D4C22×D5911yescharacteristic
1043C23×C4—591no—
1044C23×C4—591no—
1045C23×C4—591no—
1046C23×C4—591no—
1047C23×C4—591no—
1048C23×C4—591no—
1049C23×C4—591no—
1050C23×C4—591no—
1051C23×C4—591no—
1052C23×C4—591no—
1053C23×C4—591no—
1054C23×C4—591no—
1055C23×C4—591no—
1056C23×C4—591no—
1057C23×C4—591no—
1058C23×C4—591no—
1059C23×C4—1184no—
1060C23×C4—1184no—
1061C23×C4—2362no—
1062C23×C4C22×D5911yescharacteristic
1063#126—24no—
1064#126—1184no—
1065#126—1184no—
1066#126—1184no—
1067#126—1184no—
1068#126—1184no—
1069#126—1184no—
1070#126—1184no—
1071#124—24no—
1072#124—1184no—
1073#124—1184no—
1074#124—1184no—
1075#124—1184no—
1076#124—1184no—
1077#124—1184no—
1078#124—1184no—
1079C2×C4⋊C4—591no—
1080C2×C4⋊C4—591no—
1081C2×C4⋊C4—591no—
1082C2×C4⋊C4—591no—
1083C2×C4⋊C4—591no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4—591no—
1090C2×C4⋊C4—591no—
1091C2×C4⋊C4—591no—
1092C2×C4⋊C4—591no—
1093C2×C4⋊C4—591no—
1094C2×C4⋊C4—591no—
1095C2×C4⋊C4—591no—
1096C2×C4⋊C4—591no—
1097C2×C4⋊C4—591no—
1098C2×C4⋊C4—591no—
1099C2×C4⋊C4—591no—
1100C2×C4⋊C4—1184no—
1101C2×C4⋊C4—1184no—
1102C2×C4⋊C4—1184no—
1103C2×C4⋊C4—1184no—
1104C2×C4⋊C4—1184no—
1105C2×C4⋊C4—1184no—
1106C2×C4⋊C4—2362no—
1107C2×C4⋊C4C22×D5911yescharacteristic
1108C2×C4⋊C4C22×D5911yescharacteristic
1109C2×C4⋊C4C22×D5911yescharacteristic
1110C2×C4⋊C4C22×D5911yescharacteristic
1111C2×C4⋊C4C22×D5911yescharacteristic
1112C2×C4⋊C4C22×D5911yescharacteristic
1113C2×C4⋊C4C22×D5911yescharacteristic
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—598no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—1184no—
1149C2×C22⋊C4—1184no—
1150C2×C22⋊C4—1184no—
1151C2×C22⋊C4—1184no—
1152C2×C22⋊C4—1184no—
1153C2×C22⋊C4—1184no—
1154C2×C22⋊C4—1184no—
1155C2×C22⋊C4—1184no—
1156C2×C22⋊C4—1184no—
1157C2×C22⋊C4—2362no—
1158C2×C22⋊C4C22×D5911yescharacteristic
1159C2×C22⋊C4C22×D5911yescharacteristic
1160C2×C22⋊C4C22×D5911yescharacteristic
1161C2×C22⋊C4C22×D5911yescharacteristic
1162C2×C22⋊C4C22×D5911yescharacteristic
1163C2×C22⋊C4C22×D5911yescharacteristic
1164C2×C22⋊C4C22×D5911yescharacteristic
1165C2×C22⋊C4C22×D5911yescharacteristic
1166C2×C22⋊C4C22×D5911yescharacteristic
1167C2×C22⋊C4C22×D5911yescharacteristic
1168C2×C22⋊C4C22×D5911yescharacteristic
1169C2×C42—591no—
1170C2×C42—591no—
1171C2×C42—591no—
1172C2×C42—591no—
1173C2×C42—591no—
1174C2×C42—591no—
1175C2×C42—591no—
1176C2×C42—591no—
1177C2×C42—591no—
1178C2×C42—591no—
1179C2×C42—591no—
1180C2×C42—591no—
1181C2×C42—1184no—
1182C2×C42—1184no—
1183C2×C42—1184no—
1184C2×C42—2362no—
1185C2×C42C22×D5911yescharacteristic
1186C2×C42C22×D5911yescharacteristic
1187C2×C42C22×D5911yescharacteristic
1188C2×C42C22×D5911yescharacteristic
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95—591no—
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95—591no—
1207#95—591no—
1208#95—591no—
1209#95—591no—
1210#95—591no—
1211#95—591no—
1212#95—591no—
1213#95—591no—
1214#95—591no—
1215#95—591no—
1216#95—591no—
1217#95—591no—
1218#95—591no—
1219#95C22×D5911yescharacteristic
1220#95C22×D5911yescharacteristic
1221#95C22×D5911yescharacteristic
1222#95C22×D5911yescharacteristic
1223#95C22×D5911yescharacteristic
1224#95C22×D5911yescharacteristic
1225#95C22×D5911yescharacteristic
1226#95C22×D5911yescharacteristic
1227#95C22×D5911yescharacteristic
1228#95C22×D5911yescharacteristic
1229C24—591no—
1230C24—594no—
1231C24—591no—
1232C24—591no—
1233C24—1182no—
1234C24—1182no—
1235C24—1182no—
1236C24—1182no—
1237C24—1182no—
1238C24—1182no—
1239C24—1182no—
1240C24—1182no—
1241C24—1182no—
1242C24—1182no—
1243C24—1182no—
1244C24—1182no—
1245C24—1182no—
1246C24C23×D5911yescharacteristic
1247C24C23×D5911yescharacteristic
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—41no—
1251C2×Q8—1182no—
1252C2×Q8—1182no—
1253C2×Q8—1182no—
1254C2×Q8—1182no—
1255C2×Q8—1182no—
1256C2×Q8—1182no—
1257C2×Q8—2361no—
1258C2×Q8—2361no—
1259C2×Q8—2361no—
1260C2×Q8—23616no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—41no—
1264C2×D4—1182no—
1265C2×D4—1182no—
1266C2×D4—1182no—
1267C2×D4—1182no—
1268C2×D4—1182no—
1269C2×D4—1182no—
1270C2×D4—2361no—
1271C2×D4—23616no—
1272C2×D4—2361no—
1273C2×D4—2361no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—41no—
1277C22×C4—591no—
1278C22×C4—591no—
1279C22×C4—591no—
1280C22×C4—591no—
1281C22×C4—591no—
1282C22×C4—591no—
1283C22×C4—594no—
1284C22×C4—594no—
1285C22×C4—594no—
1286C22×C4—594no—
1287C22×C4—594no—
1288C22×C4—594no—
1289C22×C4—591no—
1290C22×C4—591no—
1291C22×C4—591no—
1292C22×C4—591no—
1293C22×C4—591no—
1294C22×C4—591no—
1295C22×C4—591no—
1296C22×C4—1182no—
1297C22×C4—1182no—
1298C22×C4—1182no—
1299C22×C4—1182no—
1300C22×C4—1182no—
1301C22×C4—1182no—
1302C22×C4—1182no—
1303C22×C4—1182no—
1304C22×C4—1182no—
1305C22×C4—1182no—
1306C22×C4—1182no—
1307C22×C4—1182no—
1308C22×C4—1182no—
1309C22×C4—1182no—
1310C22×C4—1182no—
1311C22×C4—1182no—
1312C22×C4—1182no—
1313C22×C4—1182no—
1314C22×C4—1182no—
1315C22×C4—1182no—
1316C22×C4—1182no—
1317C22×C4—1182no—
1318C22×C4—1182no—
1319C22×C4—1182no—
1320C22×C4—1182no—
1321C22×C4—1182no—
1322C22×C4—1182no—
1323C22×C4—1182no—
1324C22×C4—1182no—
1325C22×C4—1182no—
1326C22×C4—1182no—
1327C22×C4—1182no—
1328C22×C4—1182no—
1329C22×C4—1182no—
1330C22×C4—1182no—
1331C22×C4—1182no—
1332C22×C4—1182no—
1333C22×C4—1182no—
1334C22×C4—1182no—
1335C22×C4—2361no—
1336C22×C4—2361no—
1337C22×C4—23616no—
1338C22×C4—2361no—
1339C22×C4C23×D5911yescharacteristic
1340C22×C4C23×D5911yescharacteristic
1341C22×C4C23×D5911yescharacteristic
1342C22×C4C23×D5911yescharacteristic
1343C22×C4C23×D5911yescharacteristic
1344C22×C4C23×D5911yescharacteristic
1345C22×C4C23×D5911yescharacteristic
1346C22×C4C23×D5911yescharacteristic
1347C22×C4C23×D5911yescharacteristic
1348C22×C4C23×D5911yescharacteristic
1349C22×C4C23×D5911yescharacteristic
1350C22×C4C23×D5911yescharacteristic
1351C22×C4C23×D5911yescharacteristic
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—41no—
1359C4⋊C4—1182no—
1360C4⋊C4—1182no—
1361C4⋊C4—1182no—
1362C4⋊C4—1182no—
1363C4⋊C4—1182no—
1364C4⋊C4—1182no—
1365C4⋊C4—1182no—
1366C4⋊C4—1182no—
1367C4⋊C4—1182no—
1368C4⋊C4—1182no—
1369C4⋊C4—1182no—
1370C4⋊C4—1182no—
1371C4⋊C4—1182no—
1372C4⋊C4—1182no—
1373C4⋊C4—1182no—
1374C4⋊C4—1182no—
1375C4⋊C4—1182no—
1376C4⋊C4—1182no—
1377C4⋊C4—2361no—
1378C4⋊C4—2361no—
1379C4⋊C4—2361no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—41no—
1390C22⋊C4—594no—
1391C22⋊C4—594no—
1392C22⋊C4—594no—
1393C22⋊C4—1182no—
1394C22⋊C4—1182no—
1395C22⋊C4—1182no—
1396C22⋊C4—1182no—
1397C22⋊C4—1182no—
1398C22⋊C4—1182no—
1399C22⋊C4—1182no—
1400C22⋊C4—1182no—
1401C22⋊C4—1182no—
1402C22⋊C4—1182no—
1403C22⋊C4—1182no—
1404C22⋊C4—1182no—
1405C22⋊C4—1182no—
1406C22⋊C4—1182no—
1407C22⋊C4—1182no—
1408C22⋊C4—1182no—
1409C22⋊C4—1182no—
1410C22⋊C4—1182no—
1411C22⋊C4—1182no—
1412C22⋊C4—1182no—
1413C22⋊C4—1182no—
1414C22⋊C4—1182no—
1415C22⋊C4—1182no—
1416C22⋊C4—1182no—
1417C22⋊C4—1182no—
1418C22⋊C4—1182no—
1419C22⋊C4—1182no—
1420C22⋊C4—2361no—
1421C22⋊C4—2361no—
1422C22⋊C4—2361no—
1423C22⋊C4D4×D5914yes—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—41no—
1428C42—1182no—
1429C42—1182no—
1430C42—1182no—
1431C42—1182no—
1432C42—1182no—
1433C42—1182no—
1434C42—1182no—
1435C42—1182no—
1436C42—1182no—
1437C42—2361no—
1438C42—2361no—
1439C42—2361no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—592no—
1454C23—592no—
1455C23—592no—
1456C23—592no—
1457C23—592no—
1458C23—592no—
1459C23—592no—
1460C23—592no—
1461C23—1188no—
1462C23—1188no—
1463C23—1188no—
1464C23—1181no—
1465C23—1181no—
1466C23—1181no—
1467C23—1181no—
1468C23—1181no—
1469C23—1181no—
1470C23—1181no—
1471C23—1181no—
1472C23—1181no—
1473C23—1181no—
1474C23—1181no—
1475C23—1181no—
1476C23—1181no—
1477C23—2364no—
1478C23—2364no—
1479C23—2364no—
1480C23—2364no—
1481C23—2364no—
1482C23—2364no—
1483C23—2364no—
1484C23—2364no—
1485C23—2364no—
1486C23—2364no—
1487C23—2364no—
1488C23C2×D4×D5912yes—
1489C23C24×D5911yescharacteristic
1490Q8—44no—
1491Q8—2364no—
1492Q8—2364no—
1493Q8—2364no—
1494D4—44no—
1495D4—2364no—
1496D4—2364no—
1497D4—2364no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—44no—
1532C2×C4—592no—
1533C2×C4—592no—
1534C2×C4—592no—
1535C2×C4—592no—
1536C2×C4—592no—
1537C2×C4—592no—
1538C2×C4—1188no—
1539C2×C4—1188no—
1540C2×C4—1188no—
1541C2×C4—1188no—
1542C2×C4—1188no—
1543C2×C4—1188no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—1181no—
1565C2×C4—1181no—
1566C2×C4—1181no—
1567C2×C4—1181no—
1568C2×C4—1181no—
1569C2×C4—1181no—
1570C2×C4—1181no—
1571C2×C4—1181no—
1572C2×C4—1181no—
1573C2×C4—1181no—
1574C2×C4—1181no—
1575C2×C4—1181no—
1576C2×C4—1181no—
1577C2×C4—2364no—
1578C2×C4—2364no—
1579C2×C4—2364no—
1580C2×C4—2364no—
1581C2×C4—2364no—
1582C2×C4—2364no—
1583C2×C4—2364no—
1584C2×C4—2364no—
1585C2×C4—2364no—
1586C2×C4—2364no—
1587C2×C4C2×D4×D5912yes—
1588C2×C4C2×D4×D5912yes—
1589C2×C4#41×D5912yes—
1590C2×C4#41×D5912yes—
1591C2×C4#41×D5912yes—
1592C2×C4#41×D5912yes—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—594no—
1608C22—594no—
1609C22—594no—
1610C22—594no—
1611C22—594no—
1612C22—594no—
1613C22—594no—
1614C22—1182no—
1615C22—1182no—
1616C22—1182no—
1617C22—4728no—
1618C22—23616no—
1619C22—2361no—
1620C22—2361no—
1621C22—2361no—
1622C22—2361no—
1623C22—2361no—
1624C22—2361no—
1625C22—2361no—
1626C22—2361no—
1627C22—2361no—
1628C22—2361no—
1629C22—2361no—
1630C22C22×D4×D5911yescharacteristic
1631C22C2×#41×D5911yescharacteristic
1632C22C2×#41×D5911yescharacteristic
1633C22C2×#41×D5911yescharacteristic
1634C22C2×#41×D5911yescharacteristic
1635C22H(5,𝔽2)×D5911yescharacteristic
1636C222−1+4×D5911yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—1182no—
1651C4—1182no—
1652C4—1182no—
1653C4—1182no—
1654C4—1182no—
1655C4—1182no—
1656C4—2361no—
1657C4—2361no—
1658C4—2361no—
1659C4—2361no—
1660C4—2361no—
1661C4—2361no—
1662C4—2361no—
1663C2—42no—
1664C2—81no—
1665C2—598no—
1666C2—4721no—
1667C2—2362no—
1668C2#529×D5911yescharacteristic
1669C2#532×D5911yescharacteristic
1670C2#542×D5911yescharacteristic
1671C2#546×D5911yescharacteristic
1672C2#547×D5911yescharacteristic
1673C2#551×D5911yescharacteristic
1674C2#556×D5911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2521C2
prime radicalC22×D4×D59C22
hypercenter#2521D59
hypocenterC59C2×#2521
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2521

Complements

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

NH ≅ G/Ntype
1. C2×#126×D59C2semidirect
3. #21428806C2semidirect
4. #21428805C2semidirect
5. #21428804C2semidirect
6. #21428803C2semidirect
7. #21428802C2semidirect
8. #21428801C2semidirect
9. #21428800C2semidirect
10. #21428799C2semidirect
11. #21428798C2semidirect
12. #21428797C2semidirect
13. #21428796C2semidirect
14. #21428795C2semidirect
15. #21428794C2semidirect
16. #21428793C2semidirect
17. #21428792C2semidirect
18. #399×D59C2semidirect
19. #397×D59C2semidirect
20. #395×D59C2semidirect
22. #391×D59C2semidirect
23. #388×D59C2semidirect
24. #388×D59C2semidirect
25. #388×D59C2semidirect
26. #387×D59C2semidirect
28. #380×D59C2semidirect
29. C4×C4⋊C4×D59C2semidirect
30. C4×C22⋊C4×D59C2semidirect
31. C59×#2521C2semidirect
35. C2×#14273722C22semidirect
36. C2×#14273722C22semidirect
37. C2×#14273722C22semidirect
38. C2×#14273721C22semidirect
39. C2×#14273720C22semidirect
40. C2×#14273720C22semidirect
41. C2×#14273720C22semidirect
73. #16837339C22semidirect
74. #16837338C22semidirect
75. #16837338C22semidirect
76. #16837338C22semidirect
77. #16837337C22semidirect
78. #16837337C22semidirect
79. #16837337C22semidirect
80. #16837331C22semidirect
81. #16837331C22semidirect
82. #16837330C22semidirect
83. #16837330C22semidirect
84. #16837329C22semidirect
85. #16837328C22semidirect
86. #16837327C22semidirect
87. #16837323C22semidirect
88. #16837323C22semidirect
89. #16837323C22semidirect
90. #16837322C22semidirect
91. #16837322C22semidirect
92. #16837322C22semidirect
93. #16837321C22semidirect
101. #16837309C22semidirect
102. #16837308C22semidirect
103. #16837307C22semidirect
104. #16837306C22semidirect
105. #16837306C22semidirect
106. #16837306C22semidirect
107. #16837306C22semidirect
108. #16837296C22semidirect
109. #16837296C22semidirect
110. #16837296C22semidirect
111. #16837295C22semidirect
112. #16837295C22semidirect
113. #16837295C22semidirect
114. #16837294C22semidirect
115. #16837294C22semidirect
116. #16837294C22semidirect
117. #16837293C22semidirect
118. #16837293C22semidirect
119. #16837293C22semidirect
120. #16837292C22semidirect
121. #16837292C22semidirect
122. #16837292C22semidirect
123. #16837291C22semidirect
124. #16837291C22semidirect
125. #16837291C22semidirect
126. #16837290C22semidirect
127. #16837290C22semidirect
128. #16837290C22semidirect
129. #16837289C22semidirect
130. #16837288C22semidirect
131. #16837287C22semidirect
132. #16837286C22semidirect
133. #16837285C22semidirect
134. #16837284C22semidirect
135. #16837283C22semidirect
143. #16837262C22semidirect
144. #16837261C22semidirect
145. #16837261C22semidirect
146. #16837260C22semidirect
147. #16837260C22semidirect
148. #16837259C22semidirect
149. #16837259C22semidirect
150. C4⋊C4×Dic59C22semidirect
151. C4⋊C4×Dic59C22semidirect
152. C4×Dic59⋊C4C22semidirect
153. C4×Dic59⋊C4C22semidirect
154. C4×C4⋊Dic59C22semidirect
155. #16837253C22semidirect
156. #16837253C22semidirect
157. C22⋊C4×Dic59C22semidirect
158. C22⋊C4×Dic59C22semidirect
159. C4×(C2×D59)⋊C4C22semidirect
160. C4×(C2×D59)⋊C4C22semidirect
161. C4×C22⋊Dic59C22semidirect
162. #16837249C22semidirect
163. #16837249C22semidirect
174. C2×#126×C59C22semidirect
176. C59×#399C22semidirect
177. C59×#397C22semidirect
178. C59×#395C22semidirect
180. C59×#391C22semidirect
181. C59×#388C22semidirect
182. C59×#388C22semidirect
183. C59×#388C22semidirect
184. C59×#387C22semidirect
186. C59×#380C22semidirect
187. C4×C4⋊C4×C59C22semidirect
188. C4×C22⋊C4×C59C22semidirect
843. #2521D59direct (N × H)
868. D59#2521direct (N × H)
880. C2×#126C2×D59semidirect
919. #399C2×D59semidirect
927. #397C2×D59semidirect
935. #395C2×D59semidirect
951. #391C2×D59semidirect
973. #388C2×D59semidirect
974. #388C2×D59semidirect
975. #388C2×D59semidirect
983. #387C2×D59semidirect
999. #380C2×D59semidirect
1007. C4×C4⋊C4C2×D59semidirect
1015. C4×C22⋊C4C2×D59semidirect
1026. C59C2×#2521semidirect

Maximal subgroups

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

subgroupindex
C2×#126×D592
C2×#124×D592
#214288062
#214288052
#214288042
#214288032
#214288022
#214288012
#214288002
#214287992
#214287982
#214287972
#214287962
#214287952
#214287942
#214287932
#214287922
#399×D592
#397×D592
#395×D592
#394×D592
#391×D592
#388×D592
#387×D592
#386×D592
#380×D592
C4×C4⋊C4×D592
C4×C22⋊C4×D592
C59×#25212
C2×#252159