Finite Group Databasebeta

← D59×#2479 #28757239

Subgroups — D59×#2479 #28757239

Order 15104.

2898 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#126×D59C211yesmaximal, characteristic, complemented
2C2×#117×D59C211yesmaximal, characteristic, complemented
3#21428334C211yesmaximal, characteristic, complemented
4#21428333C211yesmaximal, characteristic, complemented
5#21428332C211yesmaximal, characteristic, complemented
6#21428331C211yesmaximal, characteristic, complemented
7#21428330C211yesmaximal, characteristic, complemented
8#21428329C211yesmaximal, characteristic, complemented
9#21428328C211yesmaximal, characteristic, complemented
10#21428327C211yesmaximal, characteristic, complemented
11#21428326C211yesmaximal, characteristic, complemented
12#21428325C211yesmaximal, characteristic, complemented
13#21428324C211yesmaximal, characteristic, complemented
14#21428323C211yesmaximal, characteristic, complemented
15#21428322C211yesmaximal, characteristic, complemented
16#21428321C211yesmaximal, characteristic, complemented
17#21428320C211yesmaximal, characteristic, complemented
18#399×D59C211yesmaximal, characteristic, complemented
19#399×D59C211yesmaximal, characteristic, complemented
20#398×D59C211yesmaximal, characteristic, complemented
21#394×D59C211yesmaximal, characteristic
22#390×D59C211yesmaximal, characteristic
23#389×D59C211yesmaximal, characteristic, complemented
24#388×D59C211yesmaximal, characteristic, complemented
25#388×D59C211yesmaximal, characteristic, complemented
26#388×D59C211yesmaximal, characteristic, complemented
27#387×D59C211yesmaximal, characteristic, complemented
28#386×D59C211yesmaximal, characteristic
29#385×D59C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2479C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C2×#14273722C2211yescharacteristic, complemented
35C2×#14273722C2211yescharacteristic, complemented
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273721C2211yescharacteristic, complemented
38C2×#14273720C2211yescharacteristic, complemented
39C2×#14273720C2211yescharacteristic, complemented
40C2×#14273720C2211yescharacteristic, complemented
41#126×D59—28no—
42C2×#14273686C2211yescharacteristic, complemented
43C2×#14273685C2211yescharacteristic, complemented
44C2×#14273685C2211yescharacteristic, complemented
45C2×#14273684C2211yescharacteristic, complemented
46C2×#14273684C2211yescharacteristic, complemented
47C2×#14273683C2211yescharacteristic, complemented
48C2×#14273683C2211yescharacteristic, complemented
49#117×D59—28no—
50C2×C4⋊C4×D59C2211yescharacteristic
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×C4⋊C4×D59C2211yescharacteristic
59C2×C4⋊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×C22⋊C4×D59C2211yescharacteristic
70C2×C22⋊C4×D59C2211yescharacteristic
71C2×C42×D59C2211yescharacteristic
72C2×C42×D59C2211yescharacteristic
73C2×C42×D59C2211yescharacteristic
74C2×C42×D59C2211yescharacteristic
75#16837339C2211yescharacteristic, complemented
76#16837339C2211yescharacteristic, complemented
77#16837338C2211yescharacteristic, complemented
78#16837338C2211yescharacteristic, complemented
79#16837338C2211yescharacteristic, complemented
80#16837338C2211yescharacteristic, complemented
81#16837338C2211yescharacteristic, complemented
82#16837338C2211yescharacteristic, complemented
83#16837337C2211yescharacteristic, complemented
84#16837337C2211yescharacteristic, complemented
85#16837337C2211yescharacteristic, complemented
86#16837337C2211yescharacteristic, complemented
87#16837337C2211yescharacteristic, complemented
88#16837337C2211yescharacteristic, complemented
89#16837336C2211yescharacteristic, complemented
90#16837336C2211yescharacteristic, complemented
91#16837335C2211yescharacteristic, complemented
92#16837335C2211yescharacteristic, complemented
93#16837334C2211yescharacteristic, complemented
94#16837333C2211yescharacteristic, complemented
95#16837332C2211yescharacteristic, complemented
96#16837320C2211yescharacteristic
97#16837319C2211yescharacteristic
98#16837318C2211yescharacteristic
99#16837318C2211yescharacteristic
100#16837317C2211yescharacteristic
101#16837317C2211yescharacteristic
102#16837316C2211yescharacteristic
103#16837305C2211yescharacteristic
104#16837304C2211yescharacteristic
105#16837303C2211yescharacteristic
106#16837302C2211yescharacteristic
107#16837302C2211yescharacteristic
108#16837302C2211yescharacteristic
109#16837302C2211yescharacteristic
110#16837301C2211yescharacteristic, complemented
111#16837300C2211yescharacteristic, complemented
112#16837299C2211yescharacteristic, complemented
113#16837299C2211yescharacteristic, complemented
114#16837298C2211yescharacteristic, complemented
115#16837297C2211yescharacteristic, complemented
116#16837297C2211yescharacteristic, complemented
117#16837296C2211yescharacteristic, complemented
118#16837296C2211yescharacteristic, complemented
119#16837296C2211yescharacteristic, complemented
120#16837295C2211yescharacteristic, complemented
121#16837295C2211yescharacteristic, complemented
122#16837295C2211yescharacteristic, complemented
123#16837294C2211yescharacteristic, complemented
124#16837294C2211yescharacteristic, complemented
125#16837294C2211yescharacteristic, complemented
126#16837293C2211yescharacteristic, complemented
127#16837293C2211yescharacteristic, complemented
128#16837293C2211yescharacteristic, complemented
129#16837292C2211yescharacteristic, complemented
130#16837292C2211yescharacteristic, complemented
131#16837292C2211yescharacteristic, complemented
132#16837291C2211yescharacteristic, complemented
133#16837291C2211yescharacteristic, complemented
134#16837291C2211yescharacteristic, complemented
135#16837290C2211yescharacteristic, complemented
136#16837290C2211yescharacteristic, complemented
137#16837290C2211yescharacteristic, complemented
138#16837289C2211yescharacteristic, complemented
139#16837288C2211yescharacteristic, complemented
140#16837287C2211yescharacteristic, complemented
141#16837286C2211yescharacteristic, complemented
142#16837285C2211yescharacteristic, complemented
143#16837284C2211yescharacteristic, complemented
144#16837283C2211yescharacteristic, complemented
145#16837282C2211yescharacteristic
146#16837281C2211yescharacteristic
147#16837280C2211yescharacteristic
148#16837280C2211yescharacteristic
149#16837279C2211yescharacteristic
150#16837278C2211yescharacteristic
151#16837278C2211yescharacteristic
152#16837277C2211yescharacteristic, complemented
153#16837276C2211yescharacteristic, complemented
154#16837276C2211yescharacteristic, complemented
155#16837275C2211yescharacteristic, complemented
156#16837274C2211yescharacteristic, complemented
157#16837273C2211yescharacteristic, complemented
158#16837273C2211yescharacteristic, complemented
159C4⋊C4×Dic59C2211yescharacteristic, complemented
160C4⋊C4×Dic59C2211yescharacteristic, complemented
161C4×Dic59⋊C4C2211yescharacteristic, complemented
162C4×Dic59⋊C4C2211yescharacteristic, complemented
163C4×C4⋊Dic59C2211yescharacteristic, complemented
164#16837253C2211yescharacteristic, complemented
165#16837253C2211yescharacteristic, complemented
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×#117×C59C2211yescharacteristic, complemented
176C59×#399C2211yescharacteristic, complemented
177C59×#399C2211yescharacteristic, complemented
178C59×#398C2211yescharacteristic, complemented
179C59×#394C2211yescharacteristic
180C59×#390C2211yescharacteristic
181C59×#389C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#388C2211yescharacteristic, complemented
185C59×#387C2211yescharacteristic, complemented
186C59×#386C2211yescharacteristic
187C59×#385C2211yescharacteristic, complemented
188C4×C4⋊C4×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C2×D4×D59—24no—
195C2×D4×D59—24no—
196C2×D4×D59—42no—
197C23×Dic59C2311yescharacteristic
198C22×C4×D59—24no—
199C22×C4×D59—24no—
200C22×C4×D59—24no—
201C22×C4×D59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
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
216#14273722—24no—
217#14273722—24no—
218#14273722—24no—
219#14273721—24no—
220#14273720—24no—
221#14273720—24no—
222#14273720—24no—
223#14273686—24no—
224#14273685—24no—
225#14273685—24no—
226#14273684—24no—
227#14273684—24no—
228#14273683—24no—
229#14273683—24no—
230C2×C4⋊Dic59C2311yescharacteristic
231C2×C4⋊Dic59C2311yescharacteristic
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C4⋊C4×D59—24no—
261C4⋊C4×D59—24no—
262C4⋊C4×D59—24no—
263C4⋊C4×D59—24no—
264C4⋊C4×D59—24no—
265C4⋊C4×D59—24no—
266C4⋊C4×D59—42no—
267C4⋊C4×D59—42no—
268C4⋊C4×D59—42no—
269C4⋊C4×D59D418yescomplemented
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×(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
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C22⋊C4×D59—24no—
304C22⋊C4×D59—24no—
305C22⋊C4×D59—24no—
306C22⋊C4×D59—24no—
307C22⋊C4×D59—24no—
308C22⋊C4×D59—24no—
309C22⋊C4×D59—24no—
310C22⋊C4×D59—24no—
311C22⋊C4×D59—24no—
312C22⋊C4×D59—42no—
313C22⋊C4×D59—42no—
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C42×D59—24no—
327C42×D59—24no—
328C42×D59—24no—
329C42×D59—24no—
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×D4×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356#126×C59—24no—
357#117×C59—24no—
358C2×C4⋊C4×C59C2311yescharacteristic
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×C4⋊C4×C59C2311yescharacteristic
367C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C42×C59C2311yescharacteristic
380C2×C42×C59C2311yescharacteristic
381C2×C42×C59C2311yescharacteristic
382C2×C42×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×D59#4114yes—
407C23×D59C2411yescharacteristic
408C23×D59C2411yescharacteristic
409C23×D59C2411yescharacteristic
410C2×D4×C59—22no—
411C2×D4×C59—22no—
412C2×D4×C59—41no—
413C22×C4×C59—22no—
414C22×C4×C59—22no—
415C22×C4×C59—22no—
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
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
429C2×C22⋊D59—22no—
430C2×C22⋊D59—22no—
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
433C2×C22⋊D59—41no—
434C2×C22⋊D59—41no—
435C22×Dic59—22no—
436C22×Dic59—22no—
437C22×Dic59—22no—
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451D4×D59—416no—
452C2×D236—22no—
453C2×D236—22no—
454C2×D236—41no—
455C2×C4×D59—232no—
456C2×C4×D59—22no—
457C2×C4×D59—22no—
458C2×C4×D59—22no—
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×D59C2×D414yes—
496C2×C4×D59C2×D414yes—
497C2×C4×D59C2×D414yes—
498C2×C4×D59#4114yes—
499C2×C4×D59#4114yes—
500C2×C4×D59#4114yes—
501C4⋊C4×C59—22no—
502C4⋊C4×C59—22no—
503C4⋊C4×C59—22no—
504C4⋊C4×C59—22no—
505C4⋊C4×C59—22no—
506C4⋊C4×C59—22no—
507C4⋊C4×C59—41no—
508C4⋊C4×C59—41no—
509C4⋊C4×C59—41no—
510C4⋊C4×C59C2×D414yescomplemented
511C22⋊C4×C59—22no—
512C22⋊C4×C59—22no—
513C22⋊C4×C59—22no—
514C22⋊C4×C59—22no—
515C22⋊C4×C59—22no—
516C22⋊C4×C59—22no—
517C22⋊C4×C59—22no—
518C22⋊C4×C59—22no—
519C22⋊C4×C59—22no—
520C22⋊C4×C59—41no—
521C22⋊C4×C59—41no—
522C42×C59—22no—
523C42×C59—22no—
524C42×C59—22no—
525C42×C59—22no—
526C22⋊Dic59—22no—
527C22⋊Dic59—22no—
528C22⋊Dic59—22no—
529C22⋊Dic59—22no—
530C22⋊Dic59—22no—
531C22⋊Dic59—22no—
532C22⋊Dic59—22no—
533C22⋊Dic59—22no—
534C22⋊Dic59—22no—
535C22⋊Dic59—41no—
536C22⋊Dic59—41no—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—22no—
539(C2×D59)⋊C4—22no—
540(C2×D59)⋊C4—22no—
541(C2×D59)⋊C4—22no—
542(C2×D59)⋊C4—22no—
543(C2×D59)⋊C4—22no—
544(C2×D59)⋊C4—22no—
545(C2×D59)⋊C4—22no—
546(C2×D59)⋊C4—22no—
547(C2×D59)⋊C4—22no—
548(C2×D59)⋊C4—22no—
549(C2×D59)⋊C4—22no—
550(C2×D59)⋊C4—22no—
551(C2×D59)⋊C4—22no—
552(C2×D59)⋊C4—22no—
553(C2×D59)⋊C4—22no—
554(C2×D59)⋊C4—22no—
555(C2×D59)⋊C4—41no—
556(C2×D59)⋊C4—41no—
557(C2×D59)⋊C4—41no—
558(C2×D59)⋊C4—41no—
559C4⋊Dic59—22no—
560C4⋊Dic59—22no—
561C4⋊Dic59—22no—
562C4⋊Dic59—22no—
563C4⋊Dic59—22no—
564C4⋊Dic59—22no—
565C4⋊Dic59—41no—
566C4⋊Dic59—41no—
567C4⋊Dic59—41no—
568C4⋊Dic59C2×D414yescomplemented
569Dic59⋊C4—22no—
570Dic59⋊C4—22no—
571Dic59⋊C4—22no—
572Dic59⋊C4—22no—
573Dic59⋊C4—22no—
574Dic59⋊C4—22no—
575Dic59⋊C4—22no—
576Dic59⋊C4—22no—
577Dic59⋊C4—22no—
578Dic59⋊C4—22no—
579Dic59⋊C4—22no—
580Dic59⋊C4—22no—
581Dic59⋊C4—41no—
582Dic59⋊C4—41no—
583Dic59⋊C4—41no—
584Dic59⋊C4—41no—
585Dic59⋊C4—41no—
586Dic59⋊C4—41no—
587Dic59⋊C4C2×D414yescomplemented
588Dic59⋊C4C2×D414yescomplemented
589C4×Dic59—22no—
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—22no—
600C4×Dic59—22no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59C2×#4112yes—
615C23×C59C2511yescharacteristic
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—28no—
623C22×D59—28no—
624C22×D59—28no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—44no—
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×D59C22×D412yes—
644C22×D59C2×#4112yes—
645C22×D59C2×#4112yes—
646C22×D59C2×#4112yes—
647C22×D59C2×#4112yes—
648C22×D59C2×#4112yes—
649C22×D59H(5,𝔽2)12yes—
650C22×D592−1+412yes—
651D4×C59—44no—
652C2×C4×C59—28no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59C22×D412yes—
687C2×C4×C59C22×D412yes—
688C2×C4×C59C22×D412yes—
689C2×C4×C59C2×#4112yes—
690C2×C4×C59C2×#4112yes—
691C2×C4×C59C2×#4112yes—
692C22⋊D59—44no—
693C22⋊D59—44no—
694C2×Dic59—28no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59C22×D412yes—
729C2×Dic59C22×D412yes—
730C2×Dic59C22×D412yes—
731C2×Dic59C2×#4112yes—
732C2×Dic59C2×#4112yes—
733C2×Dic59C2×#4112yes—
734D236—44no—
735C4×D59—28no—
736C4×D59—28no—
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—
750C2×#2479—591nomaximal, Sylow
751C22×C59—22no—
752C22×C59—22no—
753C22×C59—22no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—41no—
759C22×C59—41no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59C23×D411yescharacteristic
766C22×C59C22×#4111yescharacteristic
767C22×C59C22×#4111yescharacteristic
768C22×C59C22×#4111yescharacteristic
769C22×C59C22×#4111yescharacteristic
770C22×C59C2×H(5,𝔽2)11yescharacteristic
771C22×C59C2×2−1+411yescharacteristic
772C2×D59—22no—
773C2×D59—22no—
774C2×D59—22no—
775C2×D59—41no—
776C2×D59—41no—
777C2×D59—41no—
778C2×D59—41no—
779C2×D59—416no—
780C2×D59—41no—
781C2×D59—41no—
782C2×D59—41no—
783C2×D59—41no—
784C2×D59—41no—
785C2×D59—41no—
786C2×D59—41no—
787C2×D59—88no—
788C2×D59#52514yes—
789C2×D59#52914yes—
790C2×D59#54214yes—
791C2×D59#54714yes—
792C2×D59#55014yes—
793C2×D59#55114yes—
794C2×D59#55214yes—
795C4×C59—22no—
796C4×C59—22no—
797C4×C59—22no—
798C4×C59—22no—
799C4×C59—22no—
800C4×C59—22no—
801C4×C59—41no—
802C4×C59—41no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808Dic59—22no—
809Dic59—22no—
810Dic59—22no—
811Dic59—22no—
812Dic59—22no—
813Dic59—22no—
814Dic59—41no—
815Dic59—41no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821C22×#126—591no—
822C22×#117—591no—
823#2479—591no—
824#2479—591no—
825#2479—591no—
826#2479—591no—
827#2479—591no—
828#2479—591no—
829#2479—591no—
830#2479—591no—
831#2479—591no—
832#2479—591no—
833#2479—591no—
834#2479—591no—
835#2479—591no—
836#2479—591no—
837#2479—591no—
838#2479D5911yescharacteristic, direct product factor
839C2×#399—591no—
840C2×#399—591no—
841C2×#398—591no—
842C2×#394—591no—
843C2×#390—591no—
844C2×#389—591no—
845C2×#388—591no—
846C2×#388—591no—
847C2×#388—591no—
848C2×#387—591no—
849C2×#386—591no—
850C2×#385—591no—
851C2×C4×C4⋊C4—591no—
852C2×C59—42no—
853C2×C59—81no—
854C2×C59C2×#52511yescharacteristic
855C2×C59C2×#52911yescharacteristic
856C2×C59C2×#54211yescharacteristic
857C2×C59C2×#54711yescharacteristic
858C2×C59C2×#55011yescharacteristic
859C2×C59C2×#55111yescharacteristic
860C2×C59C2×#55211yescharacteristic
861D59—42no—
862D59—81no—
863D59#247918yesdirect product factor
864C23×D4—591no—
865C24×C4—591no—
866C2×#126—591no—
867C2×#126—591no—
868C2×#126—591no—
869C2×#126—591no—
870C2×#126—591no—
871C2×#126—591no—
872C2×#126—591no—
873C2×#126—1188no—
874C2×#126C2×D5911yescharacteristic, complemented
875C2×#117—591no—
876C2×#117—591no—
877C2×#117—591no—
878C2×#117—591no—
879C2×#117—591no—
880C2×#117—591no—
881C2×#117—591no—
882C2×#117—1188no—
883C2×#117C2×D5911yescharacteristic, complemented
884C22×C4⋊C4—591no—
885C22×C4⋊C4—591no—
886C22×C4⋊C4—591no—
887C22×C4⋊C4—591no—
888C22×C4⋊C4—591no—
889C22×C4⋊C4—591no—
890C22×C4⋊C4—591no—
891C22×C4⋊C4—591no—
892C22×C4⋊C4—591no—
893C22×C4⋊C4—591no—
894C22×C22⋊C4—591no—
895C22×C22⋊C4—591no—
896C22×C22⋊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×C42—591no—
906C22×C42—591no—
907C22×C42—591no—
908C22×C42—591no—
909#399—591no—
910#399—591no—
911#399—591no—
912#399—591no—
913#399—591no—
914#399—591no—
915#399—591no—
916#399—591no—
917#399—591no—
918#399—591no—
919#399—591no—
920#399—591no—
921#399—591no—
922#399—591no—
923#399C2×D5911yescharacteristic, complemented
924#399C2×D5911yescharacteristic, complemented
925#398—591no—
926#398—591no—
927#398—591no—
928#398—591no—
929#398—591no—
930#398—591no—
931#398—591no—
932#398C2×D5911yescharacteristic, complemented
933#394—591no—
934#394—591no—
935#394—591no—
936#394—591no—
937#394—591no—
938#394—591no—
939#394—591no—
940#394C2×D5911yescharacteristic
941#390—591no—
942#390—591no—
943#390—591no—
944#390—591no—
945#390—591no—
946#390—591no—
947#390—591no—
948#390C2×D5911yescharacteristic
949#389—591no—
950#389—591no—
951#389—591no—
952#389—591no—
953#389—591no—
954#389—591no—
955#389—591no—
956#389C2×D5911yescharacteristic, complemented
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#388—591no—
974#388—591no—
975#388—591no—
976#388—591no—
977#388—591no—
978#388C2×D5911yescharacteristic, complemented
979#388C2×D5911yescharacteristic, complemented
980#388C2×D5911yescharacteristic, complemented
981#387—591no—
982#387—591no—
983#387—591no—
984#387—591no—
985#387—591no—
986#387—591no—
987#387—591no—
988#387C2×D5911yescharacteristic, complemented
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386C2×D5911yescharacteristic
997#385—591no—
998#385—591no—
999#385—591no—
1000#385—591no—
1001#385—591no—
1002#385—591no—
1003#385—591no—
1004#385C2×D5911yescharacteristic, complemented
1005C4×C4⋊C4—591no—
1006C4×C4⋊C4—591no—
1007C4×C4⋊C4—591no—
1008C4×C4⋊C4—591no—
1009C4×C4⋊C4—591no—
1010C4×C4⋊C4—591no—
1011C4×C4⋊C4—591no—
1012C4×C4⋊C4C2×D5911yescharacteristic, complemented
1013C2×#95—591no—
1014C2×#95—591no—
1015C2×#95—591no—
1016C2×#95—591no—
1017C2×#95—591no—
1018C2×#95—591no—
1019C2×#95—591no—
1020C2×#95—591no—
1021C59C2×#247911yescharacteristic, complemented, Sylow
1022C25—591no—
1023C25—591no—
1024C22×D4—591no—
1025C22×D4—591no—
1026C22×D4—591no—
1027C22×D4—1184no—
1028C22×D4—1184no—
1029C22×D4—2362no—
1030C22×D4C22×D5911yescharacteristic
1031C23×C4—591no—
1032C23×C4—591no—
1033C23×C4—591no—
1034C23×C4—591no—
1035C23×C4—591no—
1036C23×C4—591no—
1037C23×C4—591no—
1038C23×C4—591no—
1039C23×C4—591no—
1040C23×C4—591no—
1041C23×C4—591no—
1042C23×C4—591no—
1043C23×C4—591no—
1044C23×C4—591no—
1045C23×C4—591no—
1046C23×C4—591no—
1047C23×C4—1184no—
1048C23×C4—1184no—
1049C23×C4—1184no—
1050C23×C4C22×D5911yescharacteristic
1051#126—24no—
1052#126—1184no—
1053#126—1184no—
1054#126—1184no—
1055#126—1184no—
1056#126—1184no—
1057#126—1184no—
1058#126—1184no—
1059#117—24no—
1060#117—1184no—
1061#117—1184no—
1062#117—1184no—
1063#117—1184no—
1064#117—1184no—
1065#117—1184no—
1066#117—1184no—
1067C2×C4⋊C4—591no—
1068C2×C4⋊C4—591no—
1069C2×C4⋊C4—591no—
1070C2×C4⋊C4—598no—
1071C2×C4⋊C4—591no—
1072C2×C4⋊C4—591no—
1073C2×C4⋊C4—591no—
1074C2×C4⋊C4—591no—
1075C2×C4⋊C4—591no—
1076C2×C4⋊C4—591no—
1077C2×C4⋊C4—591no—
1078C2×C4⋊C4—591no—
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—1184no—
1099C2×C4⋊C4—1184no—
1100C2×C4⋊C4—1184no—
1101C2×C4⋊C4—1184no—
1102C2×C4⋊C4—1184no—
1103C2×C4⋊C4—1184no—
1104C2×C4⋊C4—2362no—
1105C2×C4⋊C4—2362no—
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×C4⋊C4C22×D5911yescharacteristic
1115C2×C4⋊C4C22×D5911yescharacteristic
1116C2×C4⋊C4C22×D5911yescharacteristic
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—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—1184no—
1158C2×C22⋊C4—1184no—
1159C2×C22⋊C4—2362no—
1160C2×C22⋊C4—2362no—
1161C2×C22⋊C4C22×D5911yescharacteristic
1162C2×C22⋊C4C22×D5911yescharacteristic
1163C2×C22⋊C4C22×D5911yescharacteristic
1164C2×C22⋊C4C22×D5911yescharacteristic
1165C2×C22⋊C4C22×D5911yescharacteristic
1166C2×C22⋊C4C22×D5911yescharacteristic
1167C2×C22⋊C4C22×D5911yescharacteristic
1168C2×C22⋊C4C22×D5911yescharacteristic
1169C2×C22⋊C4C22×D5911yescharacteristic
1170C2×C22⋊C4C22×D5911yescharacteristic
1171C2×C22⋊C4C22×D5911yescharacteristic
1172C2×C42—591no—
1173C2×C42—591no—
1174C2×C42—591no—
1175C2×C42—591no—
1176C2×C42—591no—
1177C2×C42—591no—
1178C2×C42—591no—
1179C2×C42—591no—
1180C2×C42—591no—
1181C2×C42—591no—
1182C2×C42—591no—
1183C2×C42—591no—
1184C2×C42—1184no—
1185C2×C42—1184no—
1186C2×C42—1184no—
1187C2×C42—1184no—
1188C2×C42C22×D5911yescharacteristic
1189C2×C42C22×D5911yescharacteristic
1190C2×C42C22×D5911yescharacteristic
1191C2×C42C22×D5911yescharacteristic
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#95C22×D5911yescharacteristic
1217#95C22×D5911yescharacteristic
1218#95C22×D5911yescharacteristic
1219#95C22×D5911yescharacteristic
1220#95C22×D5911yescharacteristic
1221#95C22×D5911yescharacteristic
1222#95C22×D5911yescharacteristic
1223#95C22×D5911yescharacteristic
1224C24—591no—
1225C24—594no—
1226C24—591no—
1227C24—591no—
1228C24—1182no—
1229C24—1182no—
1230C24—1182no—
1231C24—1182no—
1232C24—1182no—
1233C24—1182no—
1234C24—1182no—
1235C24—1182no—
1236C24—1182no—
1237C24—1182no—
1238C24—1182no—
1239C24—1182no—
1240C24—1182no—
1241C24C23×D5911yescharacteristic
1242C24C23×D5911yescharacteristic
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—41no—
1246C2×D4—1182no—
1247C2×D4—1182no—
1248C2×D4—1182no—
1249C2×D4—1182no—
1250C2×D4—1182no—
1251C2×D4—1182no—
1252C2×D4—2361no—
1253C2×D4—23616no—
1254C2×D4—2361no—
1255C2×D4—2361no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—591no—
1260C22×C4—591no—
1261C22×C4—591no—
1262C22×C4—591no—
1263C22×C4—591no—
1264C22×C4—591no—
1265C22×C4—594no—
1266C22×C4—594no—
1267C22×C4—594no—
1268C22×C4—594no—
1269C22×C4—594no—
1270C22×C4—594no—
1271C22×C4—591no—
1272C22×C4—591no—
1273C22×C4—591no—
1274C22×C4—591no—
1275C22×C4—591no—
1276C22×C4—591no—
1277C22×C4—591no—
1278C22×C4—1182no—
1279C22×C4—1182no—
1280C22×C4—1182no—
1281C22×C4—1182no—
1282C22×C4—1182no—
1283C22×C4—1182no—
1284C22×C4—1182no—
1285C22×C4—1182no—
1286C22×C4—1182no—
1287C22×C4—1182no—
1288C22×C4—1182no—
1289C22×C4—1182no—
1290C22×C4—1182no—
1291C22×C4—1182no—
1292C22×C4—1182no—
1293C22×C4—1182no—
1294C22×C4—11832no—
1295C22×C4—1182no—
1296C22×C4—1182no—
1297C22×C4—1182no—
1298C22×C4—1182no—
1299C22×C4—1182no—
1300C22×C4—1182no—
1301C22×C4—1182no—
1302C22×C4—1182no—
1303C22×C4—1182no—
1304C22×C4—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×C4C23×D5911yescharacteristic
1322C22×C4C23×D5911yescharacteristic
1323C22×C4C23×D5911yescharacteristic
1324C22×C4C23×D5911yescharacteristic
1325C22×C4C23×D5911yescharacteristic
1326C22×C4C23×D5911yescharacteristic
1327C22×C4C23×D5911yescharacteristic
1328C22×C4C23×D5911yescharacteristic
1329C22×C4C23×D5911yescharacteristic
1330C22×C4C23×D5911yescharacteristic
1331C22×C4C23×D5911yescharacteristic
1332C22×C4C23×D5911yescharacteristic
1333C22×C4C23×D5911yescharacteristic
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—594no—
1344C4⋊C4—594no—
1345C4⋊C4—594no—
1346C4⋊C4—1182no—
1347C4⋊C4—1182no—
1348C4⋊C4—1182no—
1349C4⋊C4—1182no—
1350C4⋊C4—1182no—
1351C4⋊C4—1182no—
1352C4⋊C4—1182no—
1353C4⋊C4—1182no—
1354C4⋊C4—1182no—
1355C4⋊C4—1182no—
1356C4⋊C4—1182no—
1357C4⋊C4—1182no—
1358C4⋊C4—1182no—
1359C4⋊C4—1182no—
1360C4⋊C4—1182no—
1361C4⋊C4—1182no—
1362C4⋊C4—1182no—
1363C4⋊C4—1182no—
1364C4⋊C4—2361no—
1365C4⋊C4—2361no—
1366C4⋊C4—2361no—
1367C4⋊C4—2361no—
1368C4⋊C4—2361no—
1369C4⋊C4—2361no—
1370C4⋊C4—2361no—
1371C4⋊C4—2361no—
1372C4⋊C4—2361no—
1373C4⋊C4D4×D5914yescomplemented
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—1182no—
1386C22⋊C4—1182no—
1387C22⋊C4—1182no—
1388C22⋊C4—1182no—
1389C22⋊C4—1182no—
1390C22⋊C4—1182no—
1391C22⋊C4—1182no—
1392C22⋊C4—1182no—
1393C22⋊C4—1182no—
1394C22⋊C4—1182no—
1395C22⋊C4—1182no—
1396C22⋊C4—1182no—
1397C22⋊C4—1182no—
1398C22⋊C4—1182no—
1399C22⋊C4—1182no—
1400C22⋊C4—1182no—
1401C22⋊C4—1182no—
1402C22⋊C4—1182no—
1403C22⋊C4—1182no—
1404C22⋊C4—1182no—
1405C22⋊C4—1182no—
1406C22⋊C4—1182no—
1407C22⋊C4—1182no—
1408C22⋊C4—1182no—
1409C22⋊C4—1182no—
1410C22⋊C4—1182no—
1411C22⋊C4—1182no—
1412C22⋊C4—2361no—
1413C22⋊C4—2361no—
1414C22⋊C4—2361no—
1415C22⋊C4—2361no—
1416C22⋊C4—2361no—
1417C22⋊C4—2361no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—1182no—
1423C42—1182no—
1424C42—1182no—
1425C42—1182no—
1426C42—1182no—
1427C42—1182no—
1428C42—1182no—
1429C42—1182no—
1430C42—1182no—
1431C42—1182no—
1432C42—1182no—
1433C42—1182no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—592no—
1448C23—592no—
1449C23—592no—
1450C23—592no—
1451C23—592no—
1452C23—592no—
1453C23—592no—
1454C23—592no—
1455C23—1188no—
1456C23—1188no—
1457C23—1188no—
1458C23—1181no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—1181no—
1463C23—1181no—
1464C23—1181no—
1465C23—1181no—
1466C23—1181no—
1467C23—1181no—
1468C23—1181no—
1469C23—1181no—
1470C23—1181no—
1471C23—2364no—
1472C23—2364no—
1473C23—2364no—
1474C23—2364no—
1475C23—2364no—
1476C23—2364no—
1477C23—2364no—
1478C23—2364no—
1479C23—2364no—
1480C23—2364no—
1481C23—2364no—
1482C23#41×D5912yes—
1483C23C24×D5911yescharacteristic
1484D4—44no—
1485D4—2364no—
1486D4—2364no—
1487D4—2364no—
1488C2×C4—28no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—592no—
1523C2×C4—592no—
1524C2×C4—592no—
1525C2×C4—592no—
1526C2×C4—592no—
1527C2×C4—592no—
1528C2×C4—1188no—
1529C2×C4—1188no—
1530C2×C4—1188no—
1531C2×C4—1188no—
1532C2×C4—1188no—
1533C2×C4—1188no—
1534C2×C4—1188no—
1535C2×C4—1188no—
1536C2×C4—1188no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
1542C2×C4—1181no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—1181no—
1565C2×C4—1181no—
1566C2×C4—1181no—
1567C2×C4—1181no—
1568C2×C4—1181no—
1569C2×C4—1181no—
1570C2×C4—2364no—
1571C2×C4—2364no—
1572C2×C4—2364no—
1573C2×C4—2364no—
1574C2×C4—2364no—
1575C2×C4—2364no—
1576C2×C4—2364no—
1577C2×C4C2×D4×D5912yes—
1578C2×C4C2×D4×D5912yes—
1579C2×C4C2×D4×D5912yes—
1580C2×C4#41×D5912yes—
1581C2×C4#41×D5912yes—
1582C2×C4#41×D5912yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—594no—
1598C22—594no—
1599C22—594no—
1600C22—594no—
1601C22—594no—
1602C22—594no—
1603C22—594no—
1604C22—1182no—
1605C22—1182no—
1606C22—1182no—
1607C22—4728no—
1608C22—23616no—
1609C22—2361no—
1610C22—2361no—
1611C22—2361no—
1612C22—2361no—
1613C22—2361no—
1614C22—2361no—
1615C22—2361no—
1616C22—2361no—
1617C22—2361no—
1618C22—2361no—
1619C22—2361no—
1620C22C22×D4×D5911yescharacteristic
1621C22C2×#41×D5911yescharacteristic
1622C22C2×#41×D5911yescharacteristic
1623C22C2×#41×D5911yescharacteristic
1624C22C2×#41×D5911yescharacteristic
1625C22H(5,𝔽2)×D5911yescharacteristic
1626C222−1+4×D5911yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—1182no—
1641C4—1182no—
1642C4—1182no—
1643C4—1182no—
1644C4—1182no—
1645C4—1182no—
1646C4—2361no—
1647C4—2361no—
1648C4—2361no—
1649C4—2361no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C2—42no—
1654C2—81no—
1655C2—598no—
1656C2—4721no—
1657C2—2362no—
1658C2#525×D5911yescharacteristic
1659C2#529×D5911yescharacteristic
1660C2#542×D5911yescharacteristic
1661C2#547×D5911yescharacteristic
1662C2#550×D5911yescharacteristic
1663C2#551×D5911yescharacteristic
1664C2#552×D5911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2479C2
prime radicalC22×D4×D59C22
hypercenter#2479D59
hypocenterC59C2×#2479
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2479

Complements

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

NH ≅ G/Ntype
1. C2×#126×D59C2semidirect
2. C2×#117×D59C2semidirect
3. #21428334C2semidirect
4. #21428333C2semidirect
5. #21428332C2semidirect
6. #21428331C2semidirect
7. #21428330C2semidirect
8. #21428329C2semidirect
9. #21428328C2semidirect
10. #21428327C2semidirect
11. #21428326C2semidirect
12. #21428325C2semidirect
13. #21428324C2semidirect
14. #21428323C2semidirect
15. #21428322C2semidirect
16. #21428321C2semidirect
17. #21428320C2semidirect
18. #399×D59C2semidirect
19. #399×D59C2semidirect
20. #398×D59C2semidirect
23. #389×D59C2semidirect
24. #388×D59C2semidirect
25. #388×D59C2semidirect
26. #388×D59C2semidirect
27. #387×D59C2semidirect
29. #385×D59C2semidirect
30. C4×C4⋊C4×D59C2semidirect
31. C59×#2479C2semidirect
34. C2×#14273722C22semidirect
35. C2×#14273722C22semidirect
36. C2×#14273722C22semidirect
37. C2×#14273721C22semidirect
38. C2×#14273720C22semidirect
39. C2×#14273720C22semidirect
40. C2×#14273720C22semidirect
42. C2×#14273686C22semidirect
43. C2×#14273685C22semidirect
44. C2×#14273685C22semidirect
45. C2×#14273684C22semidirect
46. C2×#14273684C22semidirect
47. C2×#14273683C22semidirect
48. C2×#14273683C22semidirect
75. #16837339C22semidirect
76. #16837339C22semidirect
77. #16837338C22semidirect
78. #16837338C22semidirect
79. #16837338C22semidirect
80. #16837338C22semidirect
81. #16837338C22semidirect
82. #16837338C22semidirect
83. #16837337C22semidirect
84. #16837337C22semidirect
85. #16837337C22semidirect
86. #16837337C22semidirect
87. #16837337C22semidirect
88. #16837337C22semidirect
89. #16837336C22semidirect
90. #16837336C22semidirect
91. #16837335C22semidirect
92. #16837335C22semidirect
93. #16837334C22semidirect
94. #16837333C22semidirect
95. #16837332C22semidirect
110. #16837301C22semidirect
111. #16837300C22semidirect
112. #16837299C22semidirect
113. #16837299C22semidirect
114. #16837298C22semidirect
115. #16837297C22semidirect
116. #16837297C22semidirect
117. #16837296C22semidirect
118. #16837296C22semidirect
119. #16837296C22semidirect
120. #16837295C22semidirect
121. #16837295C22semidirect
122. #16837295C22semidirect
123. #16837294C22semidirect
124. #16837294C22semidirect
125. #16837294C22semidirect
126. #16837293C22semidirect
127. #16837293C22semidirect
128. #16837293C22semidirect
129. #16837292C22semidirect
130. #16837292C22semidirect
131. #16837292C22semidirect
132. #16837291C22semidirect
133. #16837291C22semidirect
134. #16837291C22semidirect
135. #16837290C22semidirect
136. #16837290C22semidirect
137. #16837290C22semidirect
138. #16837289C22semidirect
139. #16837288C22semidirect
140. #16837287C22semidirect
141. #16837286C22semidirect
142. #16837285C22semidirect
143. #16837284C22semidirect
144. #16837283C22semidirect
152. #16837277C22semidirect
153. #16837276C22semidirect
154. #16837276C22semidirect
155. #16837275C22semidirect
156. #16837274C22semidirect
157. #16837273C22semidirect
158. #16837273C22semidirect
159. C4⋊C4×Dic59C22semidirect
160. C4⋊C4×Dic59C22semidirect
161. C4×Dic59⋊C4C22semidirect
162. C4×Dic59⋊C4C22semidirect
163. C4×C4⋊Dic59C22semidirect
164. #16837253C22semidirect
165. #16837253C22semidirect
174. C2×#126×C59C22semidirect
175. C2×#117×C59C22semidirect
176. C59×#399C22semidirect
177. C59×#399C22semidirect
178. C59×#398C22semidirect
181. C59×#389C22semidirect
182. C59×#388C22semidirect
183. C59×#388C22semidirect
184. C59×#388C22semidirect
185. C59×#387C22semidirect
187. C59×#385C22semidirect
188. C4×C4⋊C4×C59C22semidirect
269. C4⋊C4×D59D4semidirect
510. C4⋊C4×C59C2×D4semidirect
568. C4⋊Dic59C2×D4semidirect
587. Dic59⋊C4C2×D4semidirect
588. Dic59⋊C4C2×D4semidirect
838. #2479D59direct (N × H)
863. D59#2479direct (N × H)
874. C2×#126C2×D59semidirect
883. C2×#117C2×D59semidirect
923. #399C2×D59semidirect
924. #399C2×D59semidirect
932. #398C2×D59semidirect
956. #389C2×D59semidirect
978. #388C2×D59semidirect
979. #388C2×D59semidirect
980. #388C2×D59semidirect
988. #387C2×D59semidirect
1004. #385C2×D59semidirect
1012. C4×C4⋊C4C2×D59semidirect
1021. C59C2×#2479semidirect
1373. C4⋊C4D4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#126×D592
C2×#117×D592
#214283342
#214283332
#214283322
#214283312
#214283302
#214283292
#214283282
#214283272
#214283262
#214283252
#214283242
#214283232
#214283222
#214283212
#214283202
#399×D592
#398×D592
#394×D592
#390×D592
#389×D592
#388×D592
#387×D592
#386×D592
#385×D592
C4×C4⋊C4×D592
C59×#24792
C2×#247959