Finite Group Databasebeta

← D59×#2481 #28756307

Subgroups — D59×#2481 #28756307

Order 15104.

3114 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#126×D59C211yesmaximal, characteristic, complemented
2C22×C4⋊C4×D59C211yesmaximal, characteristic, complemented
3#21428364C211yesmaximal, characteristic, complemented
4#21428363C211yesmaximal, characteristic, complemented
5#21428362C211yesmaximal, characteristic, complemented
6#21428361C211yesmaximal, characteristic, complemented
7#21428360C211yesmaximal, characteristic, complemented
8#21428359C211yesmaximal, characteristic, complemented
9#21428358C211yesmaximal, characteristic, complemented
10#21428357C211yesmaximal, characteristic, complemented
11#21428356C211yesmaximal, characteristic, complemented
12#21428355C211yesmaximal, characteristic, complemented
13#21428354C211yesmaximal, characteristic, complemented
14#21428353C211yesmaximal, characteristic, complemented
15#21428352C211yesmaximal, characteristic, complemented
16#21428351C211yesmaximal, characteristic, complemented
17#21428350C211yesmaximal, characteristic, complemented
18#400×D59C211yesmaximal, characteristic, complemented
19#400×D59C211yesmaximal, characteristic, complemented
20#397×D59C211yesmaximal, characteristic, complemented
21#396×D59C211yesmaximal, characteristic, complemented
22#388×D59C211yesmaximal, characteristic, complemented
23#387×D59C211yesmaximal, characteristic, complemented
24#387×D59C211yesmaximal, characteristic, complemented
25#386×D59C211yesmaximal, characteristic
26#386×D59C211yesmaximal, characteristic
27#386×D59C211yesmaximal, characteristic
28#385×D59C211yesmaximal, characteristic, complemented
29#380×D59C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2481C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35C23×C4×D59C2211yescharacteristic
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273722C2211yescharacteristic, complemented
38C2×#14273722C2211yescharacteristic, complemented
39C2×#14273721C2211yescharacteristic, complemented
40C2×#14273720C2211yescharacteristic, complemented
41C2×#14273720C2211yescharacteristic, complemented
42C2×#14273720C2211yescharacteristic, complemented
43#126×D59—28no—
44C22×C4⋊Dic59C2211yescharacteristic, complemented
45C22×Dic59⋊C4C2211yescharacteristic, complemented
46C22×Dic59⋊C4C2211yescharacteristic, complemented
47C2×C4⋊C4×D59—28no—
48C2×C4⋊C4×D59C2211yescharacteristic
49C2×C4⋊C4×D59C2211yescharacteristic
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, complemented
57C2×C4⋊C4×D59C2211yescharacteristic, complemented
58C2×C4⋊C4×D59C2211yescharacteristic, complemented
59C2×C4⋊C4×D59C2211yescharacteristic, complemented
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
71#16837344C2211yescharacteristic, complemented
72#16837344C2211yescharacteristic, complemented
73#16837344C2211yescharacteristic, complemented
74#16837344C2211yescharacteristic, complemented
75#16837343C2211yescharacteristic, complemented
76#16837343C2211yescharacteristic, complemented
77#16837343C2211yescharacteristic, complemented
78#16837343C2211yescharacteristic, complemented
79#16837342C2211yescharacteristic, complemented
80#16837342C2211yescharacteristic, complemented
81#16837341C2211yescharacteristic, complemented
82#16837341C2211yescharacteristic, complemented
83#16837340C2211yescharacteristic, complemented
84#16837340C2211yescharacteristic, complemented
85#16837331C2211yescharacteristic, complemented
86#16837331C2211yescharacteristic, complemented
87#16837330C2211yescharacteristic, complemented
88#16837330C2211yescharacteristic, complemented
89#16837329C2211yescharacteristic, complemented
90#16837328C2211yescharacteristic, complemented
91#16837327C2211yescharacteristic, complemented
92#16837326C2211yescharacteristic, complemented
93#16837325C2211yescharacteristic, complemented
94#16837325C2211yescharacteristic, complemented
95#16837325C2211yescharacteristic, complemented
96#16837324C2211yescharacteristic, complemented
97#16837324C2211yescharacteristic, complemented
98#16837324C2211yescharacteristic, complemented
99#16837296C2211yescharacteristic, complemented
100#16837295C2211yescharacteristic, complemented
101#16837294C2211yescharacteristic, complemented
102#16837293C2211yescharacteristic, complemented
103#16837292C2211yescharacteristic, complemented
104#16837291C2211yescharacteristic, complemented
105#16837290C2211yescharacteristic, complemented
106#16837289C2211yescharacteristic, complemented
107#16837289C2211yescharacteristic, complemented
108#16837288C2211yescharacteristic, complemented
109#16837288C2211yescharacteristic, complemented
110#16837287C2211yescharacteristic, complemented
111#16837287C2211yescharacteristic, complemented
112#16837286C2211yescharacteristic, complemented
113#16837286C2211yescharacteristic, complemented
114#16837285C2211yescharacteristic, complemented
115#16837285C2211yescharacteristic, complemented
116#16837284C2211yescharacteristic, complemented
117#16837284C2211yescharacteristic, complemented
118#16837283C2211yescharacteristic, complemented
119#16837283C2211yescharacteristic, complemented
120#16837282C2211yescharacteristic
121#16837282C2211yescharacteristic
122#16837282C2211yescharacteristic
123#16837281C2211yescharacteristic
124#16837281C2211yescharacteristic
125#16837281C2211yescharacteristic
126#16837280C2211yescharacteristic
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837280C2211yescharacteristic
132#16837279C2211yescharacteristic
133#16837279C2211yescharacteristic
134#16837279C2211yescharacteristic
135#16837278C2211yescharacteristic
136#16837278C2211yescharacteristic
137#16837278C2211yescharacteristic
138#16837278C2211yescharacteristic
139#16837278C2211yescharacteristic
140#16837278C2211yescharacteristic
141#16837277C2211yescharacteristic, complemented
142#16837276C2211yescharacteristic, complemented
143#16837276C2211yescharacteristic, complemented
144#16837275C2211yescharacteristic, complemented
145#16837274C2211yescharacteristic, complemented
146#16837273C2211yescharacteristic, complemented
147#16837273C2211yescharacteristic, complemented
148#16837262C2211yescharacteristic, complemented
149#16837261C2211yescharacteristic, complemented
150#16837261C2211yescharacteristic, complemented
151#16837260C2211yescharacteristic, complemented
152#16837260C2211yescharacteristic, complemented
153#16837259C2211yescharacteristic, complemented
154#16837259C2211yescharacteristic, complemented
155C22⋊C4×Dic59C2211yescharacteristic, complemented
156C22⋊C4×Dic59C2211yescharacteristic, complemented
157C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
159C4×C22⋊Dic59C2211yescharacteristic, complemented
160#16837249C2211yescharacteristic, complemented
161#16837249C2211yescharacteristic, complemented
162#95×D59C2211yescharacteristic
163#95×D59C2211yescharacteristic
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
175C22×C4⋊C4×C59C2211yescharacteristic, complemented
176C59×#400C2211yescharacteristic, complemented
177C59×#400C2211yescharacteristic, complemented
178C59×#397C2211yescharacteristic, complemented
179C59×#396C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#387C2211yescharacteristic, complemented
182C59×#387C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic
186C59×#385C2211yescharacteristic, complemented
187C59×#380C2211yescharacteristic, complemented
188C4×C22⋊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—24no—
197C23×Dic59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C22×C4×D59—24no—
201C22×C4×D59—24no—
202C22×C4×D59—24no—
203C22×C4×D59—24no—
204C22×C4×D59—24no—
205C22×C4×D59—24no—
206C22×C4×D59—24no—
207C22×C4×D59—42no—
208C22×C4×D59—42no—
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
222C22×C4×D59C2311yescharacteristic
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226C22×C4×D59C2311yescharacteristic
227C22×C4×D59C2311yescharacteristic
228#14273722—24no—
229#14273722—24no—
230#14273722—24no—
231#14273721—24no—
232#14273720—24no—
233#14273720—24no—
234#14273720—24no—
235C2×C4⋊Dic59—24no—
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×C4⋊Dic59C2311yescharacteristic
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
244C2×Dic59⋊C4—24no—
245C2×Dic59⋊C4—24no—
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
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C4⋊C4×D59—24no—
263C4⋊C4×D59—24no—
264C4⋊C4×D59—24no—
265C4⋊C4×D59—24no—
266C4⋊C4×D59—24no—
267C4⋊C4×D59—24no—
268C4⋊C4×D59—24no—
269C4⋊C4×D59—24no—
270C4⋊C4×D59—24no—
271C4⋊C4×D59—24no—
272C4⋊C4×D59—42no—
273C4⋊C4×D59D418yescomplemented
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×(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
301C22⋊C4×D59—24no—
302C22⋊C4×D59—24no—
303C22⋊C4×D59—24no—
304C22⋊C4×D59—24no—
305C22⋊C4×D59—24no—
306C22⋊C4×D59—24no—
307C22⋊C4×D59—24no—
308C22⋊C4×D59—42no—
309C22⋊C4×D59—42no—
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
312C2×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C42×D59—24no—
317C42×D59—42no—
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
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358#126×C59—24no—
359C2×C4⋊C4×C59—24no—
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×C42×C59C2311yescharacteristic
378C2×C42×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×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#4114yes—
405C23×D59#4114yes—
406C23×D59#4114yes—
407C23×D59C2411yescharacteristic
408C23×D59C2411yescharacteristic
409C23×D59C2411yescharacteristic
410C2×D4×C59—22no—
411C2×D4×C59—22no—
412C2×D4×C59—22no—
413C22×C4×C59—22no—
414C22×C4×C59—22no—
415C22×C4×C59—22no—
416C22×C4×C59—22no—
417C22×C4×C59—22no—
418C22×C4×C59—22no—
419C22×C4×C59—22no—
420C22×C4×C59—41no—
421C22×C4×C59—41no—
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
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C2×C22⋊D59—22no—
436C2×C22⋊D59—22no—
437C2×C22⋊D59—22no—
438C2×C22⋊D59—22no—
439C2×C22⋊D59—22no—
440C2×C22⋊D59—22no—
441C22×Dic59—22no—
442C22×Dic59—22no—
443C22×Dic59—22no—
444C22×Dic59—22no—
445C22×Dic59—22no—
446C22×Dic59—22no—
447C22×Dic59—22no—
448C22×Dic59—41no—
449C22×Dic59—41no—
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463D4×D59—416no—
464C2×D236—22no—
465C2×D236—22no—
466C2×D236—22no—
467C2×C4×D59—232no—
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—22no—
497C2×C4×D59—22no—
498C2×C4×D59—22no—
499C2×C4×D59—22no—
500C2×C4×D59—22no—
501C2×C4×D59—22no—
502C2×C4×D59—22no—
503C2×C4×D59—22no—
504C2×C4×D59—22no—
505C2×C4×D59—22no—
506C2×C4×D59—22no—
507C2×C4×D59—22no—
508C2×C4×D59—22no—
509C2×C4×D59—22no—
510C2×C4×D59—22no—
511C2×C4×D59—22no—
512C2×C4×D59—22no—
513C2×C4×D59—22no—
514C2×C4×D59—22no—
515C2×C4×D59—22no—
516C2×C4×D59—22no—
517C2×C4×D59—416no—
518C2×C4×D59—416no—
519C2×C4×D59—41no—
520C2×C4×D59—41no—
521C2×C4×D59—41no—
522C2×C4×D59—41no—
523C2×C4×D59C2×D414yes—
524C2×C4×D59C2×D414yes—
525C2×C4×D59C2×D414yes—
526C2×C4×D59#4114yes—
527C4⋊C4×C59—22no—
528C4⋊C4×C59—22no—
529C4⋊C4×C59—22no—
530C4⋊C4×C59—22no—
531C4⋊C4×C59—22no—
532C4⋊C4×C59—22no—
533C4⋊C4×C59—41no—
534C4⋊C4×C59C2×D414yescomplemented
535C22⋊C4×C59—22no—
536C22⋊C4×C59—22no—
537C22⋊C4×C59—22no—
538C22⋊C4×C59—22no—
539C22⋊C4×C59—22no—
540C22⋊C4×C59—22no—
541C22⋊C4×C59—22no—
542C22⋊C4×C59—41no—
543C22⋊C4×C59—41no—
544C42×C59—22no—
545C42×C59—41no—
546C22⋊Dic59—22no—
547C22⋊Dic59—22no—
548C22⋊Dic59—22no—
549C22⋊Dic59—22no—
550C22⋊Dic59—22no—
551C22⋊Dic59—22no—
552C22⋊Dic59—22no—
553C22⋊Dic59—41no—
554C22⋊Dic59—41no—
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—22no—
566(C2×D59)⋊C4—22no—
567(C2×D59)⋊C4—22no—
568(C2×D59)⋊C4—22no—
569(C2×D59)⋊C4—41no—
570(C2×D59)⋊C4—41no—
571(C2×D59)⋊C4—41no—
572(C2×D59)⋊C4—41no—
573C4⋊Dic59—22no—
574C4⋊Dic59—22no—
575C4⋊Dic59—22no—
576C4⋊Dic59—22no—
577C4⋊Dic59—22no—
578C4⋊Dic59—22no—
579C4⋊Dic59—41no—
580C4⋊Dic59C2×D414yescomplemented
581Dic59⋊C4—22no—
582Dic59⋊C4—22no—
583Dic59⋊C4—22no—
584Dic59⋊C4—22no—
585Dic59⋊C4—22no—
586Dic59⋊C4—22no—
587Dic59⋊C4—22no—
588Dic59⋊C4—22no—
589Dic59⋊C4—22no—
590Dic59⋊C4—22no—
591Dic59⋊C4—22no—
592Dic59⋊C4—22no—
593Dic59⋊C4—41no—
594Dic59⋊C4—41no—
595Dic59⋊C4C2×D414yescomplemented
596Dic59⋊C4C2×D414yescomplemented
597C4×Dic59—22no—
598C4×Dic59—22no—
599C4×Dic59—22no—
600C4×Dic59—41no—
601C4×Dic59—41no—
602C4×Dic59—41no—
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×C59C2×#4112yes—
616C23×C59C2×#4112yes—
617C23×C59C2511yescharacteristic
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—28no—
623C22×D59—28no—
624C22×D59—28no—
625C22×D59—28no—
626C22×D59—28no—
627C22×D59—28no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—44no—
636C22×D59—44no—
637C22×D59—44no—
638C22×D59—44no—
639C22×D59—44no—
640C22×D59—44no—
641C22×D59—44no—
642C22×D59#126116yescomplemented
643C22×D59C22×D412yes—
644C22×D59C2×#4112yes—
645C22×D59C2×#4112yes—
646C22×D59C2×#4112yes—
647C22×D59C2×#4112yes—
648C22×D59C2×#4112yes—
649C22×D59C2×#4112yes—
650C22×D59C2×#4112yes—
651C22×D59H(5,𝔽2)12yes—
652C22×D592−1+412yes—
653D4×C59—44no—
654C2×C4×C59—28no—
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—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—44no—
691C2×C4×C59—44no—
692C2×C4×C59C22×D412yes—
693C2×C4×C59C22×D412yes—
694C2×C4×C59C22×D412yes—
695C2×C4×C59C2×#4112yes—
696C22⋊D59—44no—
697C22⋊D59—44no—
698C2×Dic59—28no—
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—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—44no—
735C2×Dic59—44no—
736C2×Dic59C22×D412yes—
737C2×Dic59C22×D412yes—
738C2×Dic59C22×D412yes—
739C2×Dic59C2×#4112yes—
740D236—44no—
741C4×D59—28no—
742C4×D59—28no—
743C4×D59—28no—
744C4×D59—28no—
745C4×D59—28no—
746C4×D59—28no—
747C4×D59—44no—
748C4×D59—44no—
749C4×D59—44no—
750C4×D59—44no—
751C4×D59—44no—
752C4×D59—44no—
753C4×D59—44no—
754C4×D59—44no—
755C4×D59—44no—
756C4×D59—44no—
757C4×D59—44no—
758C4×D59—44no—
759C4×D59—44no—
760C2×#2481—591nomaximal, Sylow
761C22×C59—22no—
762C22×C59—22no—
763C22×C59—22no—
764C22×C59—22no—
765C22×C59—22no—
766C22×C59—22no—
767C22×C59—41no—
768C22×C59—41no—
769C22×C59—41no—
770C22×C59—41no—
771C22×C59—41no—
772C22×C59—41no—
773C22×C59—41no—
774C22×C59C2×#12614yescomplemented
775C22×C59C23×D411yescharacteristic
776C22×C59C22×#4111yescharacteristic
777C22×C59C22×#4111yescharacteristic
778C22×C59C22×#4111yescharacteristic
779C22×C59C22×#4111yescharacteristic
780C22×C59C2×H(5,𝔽2)11yescharacteristic
781C22×C59C2×2−1+411yescharacteristic
782C2×D59—22no—
783C2×D59—22no—
784C2×D59—22no—
785C2×D59—22no—
786C2×D59—22no—
787C2×D59—22no—
788C2×D59—232no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—88no—
797C2×D59#52514yes—
798C2×D59C2×#12614yes—
799C2×D59C2×#12614yescomplemented
800C2×D59#53914yes—
801C2×D59#54614yes—
802C2×D59#54814yes—
803C2×D59#55214yes—
804C2×D59#55314yes—
805C4×C59—22no—
806C4×C59—22no—
807C4×C59—22no—
808C4×C59—22no—
809C4×C59—41no—
810C4×C59—41no—
811C4×C59—41no—
812C4×C59—41no—
813C4×C59—41no—
814C4×C59—41no—
815C4×C59—41no—
816C4×C59—41no—
817C4×C59—41no—
818Dic59—22no—
819Dic59—22no—
820Dic59—22no—
821Dic59—22no—
822Dic59—41no—
823Dic59—41no—
824Dic59—41no—
825Dic59—41no—
826Dic59—41no—
827Dic59—41no—
828Dic59—41no—
829Dic59—41no—
830Dic59—41no—
831C22×#126—591no—
832C23×C4⋊C4—591no—
833#2481—591no—
834#2481—591no—
835#2481—591no—
836#2481—591no—
837#2481—591no—
838#2481—591no—
839#2481—591no—
840#2481—591no—
841#2481—591no—
842#2481—591no—
843#2481—591no—
844#2481—591no—
845#2481—591no—
846#2481—591no—
847#2481—591no—
848#2481D5911yescharacteristic, direct product factor
849C2×#400—591no—
850C2×#400—591no—
851C2×#397—591no—
852C2×#396—591no—
853C2×#388—591no—
854C2×#387—591no—
855C2×#387—591no—
856C2×#386—591no—
857C2×#386—591no—
858C2×#386—591no—
859C2×#385—591no—
860C2×#380—591no—
861C2×C4×C22⋊C4—591no—
862C2×C59—24no—
863C2×C59—81no—
864C2×C59C2×#52511yescharacteristic
865C2×C59C22×#12611yescharacteristic
866C2×C59C2×#53911yescharacteristic
867C2×C59C2×#54611yescharacteristic
868C2×C59C2×#54811yescharacteristic
869C2×C59C2×#55211yescharacteristic
870C2×C59C2×#55311yescharacteristic
871D59—24no—
872D59—81no—
873D59#248118yesdirect product factor
874C23×D4—591no—
875C24×C4—591no—
876C24×C4—591no—
877C24×C4—591no—
878C2×#126—591no—
879C2×#126—591no—
880C2×#126—591no—
881C2×#126—591no—
882C2×#126—591no—
883C2×#126—591no—
884C2×#126—591no—
885C2×#126—1188no—
886C2×#126C2×D5911yescharacteristic, complemented
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×C4⋊C4—591no—
895C22×C4⋊C4—591no—
896C22×C4⋊C4—591no—
897C22×C4⋊C4—591no—
898C22×C4⋊C4—591no—
899C22×C4⋊C4—591no—
900C22×C4⋊C4—591no—
901C22×C4⋊C4—591no—
902C22×C4⋊C4—1188no—
903C22×C4⋊C4C2×D5911yescharacteristic, complemented
904C22×C22⋊C4—591no—
905C22×C22⋊C4—591no—
906C22×C22⋊C4—591no—
907C22×C22⋊C4—591no—
908C22×C22⋊C4—591no—
909C22×C22⋊C4—591no—
910C22×C22⋊C4—591no—
911C22×C22⋊C4—591no—
912C22×C22⋊C4—591no—
913C22×C42—591no—
914C22×C42—591no—
915#400—591no—
916#400—591no—
917#400—591no—
918#400—591no—
919#400—591no—
920#400—591no—
921#400—591no—
922#400—591no—
923#400—591no—
924#400—591no—
925#400—591no—
926#400—591no—
927#400—591no—
928#400—591no—
929#400C2×D5911yescharacteristic, complemented
930#400C2×D5911yescharacteristic, complemented
931#397—591no—
932#397—591no—
933#397—591no—
934#397—591no—
935#397—591no—
936#397—591no—
937#397—591no—
938#397C2×D5911yescharacteristic, complemented
939#396—591no—
940#396—591no—
941#396—591no—
942#396—591no—
943#396—591no—
944#396—591no—
945#396—591no—
946#396C2×D5911yescharacteristic, complemented
947#388—591no—
948#388—591no—
949#388—591no—
950#388—591no—
951#388—591no—
952#388—591no—
953#388—591no—
954#388C2×D5911yescharacteristic, complemented
955#387—591no—
956#387—591no—
957#387—591no—
958#387—591no—
959#387—591no—
960#387—591no—
961#387—591no—
962#387—591no—
963#387—591no—
964#387—591no—
965#387—591no—
966#387—591no—
967#387—591no—
968#387—591no—
969#387C2×D5911yescharacteristic, complemented
970#387C2×D5911yescharacteristic, complemented
971#386—591no—
972#386—591no—
973#386—591no—
974#386—591no—
975#386—591no—
976#386—591no—
977#386—591no—
978#386—591no—
979#386—591no—
980#386—591no—
981#386—591no—
982#386—591no—
983#386—591no—
984#386—591no—
985#386—591no—
986#386—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386C2×D5911yescharacteristic
993#386C2×D5911yescharacteristic
994#386C2×D5911yescharacteristic
995#385—591no—
996#385—591no—
997#385—591no—
998#385—591no—
999#385—591no—
1000#385—591no—
1001#385—591no—
1002#385C2×D5911yescharacteristic, complemented
1003#380—591no—
1004#380—591no—
1005#380—591no—
1006#380—591no—
1007#380—591no—
1008#380—591no—
1009#380—591no—
1010#380C2×D5911yescharacteristic, complemented
1011C4×C22⋊C4—591no—
1012C4×C22⋊C4—591no—
1013C4×C22⋊C4—591no—
1014C4×C22⋊C4—591no—
1015C4×C22⋊C4—591no—
1016C4×C22⋊C4—591no—
1017C4×C22⋊C4—591no—
1018C4×C22⋊C4C2×D5911yescharacteristic, complemented
1019C2×#95—591no—
1020C2×#95—591no—
1021C2×#95—591no—
1022C2×#95—591no—
1023C2×#95—591no—
1024C2×#95—591no—
1025C2×#95—591no—
1026C2×#95—591no—
1027C2×#95—591no—
1028C2×#95—591no—
1029C2×#95—591no—
1030C2×#95—591no—
1031C59C2×#248111yescharacteristic, complemented, Sylow
1032C25—591no—
1033C25—591no—
1034C22×D4—591no—
1035C22×D4—591no—
1036C22×D4—591no—
1037C22×D4—1184no—
1038C22×D4—1184no—
1039C22×D4—1184no—
1040C22×D4C22×D5911yescharacteristic
1041C23×C4—591no—
1042C23×C4—591no—
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—591no—
1060C23×C4—591no—
1061C23×C4—591no—
1062C23×C4—591no—
1063C23×C4—1184no—
1064C23×C4—1184no—
1065C23×C4—1184no—
1066C23×C4—1184no—
1067C23×C4—1184no—
1068C23×C4—1184no—
1069C23×C4—1184no—
1070C23×C4—2362no—
1071C23×C4—2362no—
1072C23×C4C22×D5911yescharacteristic
1073C23×C4C22×D5911yescharacteristic
1074C23×C4C22×D5911yescharacteristic
1075#126—24no—
1076#126—1184no—
1077#126—1184no—
1078#126—1184no—
1079#126—1184no—
1080#126—1184no—
1081#126—1184no—
1082#126—1184no—
1083C2×C4⋊C4—24no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—598no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4—591no—
1090C2×C4⋊C4—591no—
1091C2×C4⋊C4—591no—
1092C2×C4⋊C4—591no—
1093C2×C4⋊C4—591no—
1094C2×C4⋊C4—591no—
1095C2×C4⋊C4—591no—
1096C2×C4⋊C4—591no—
1097C2×C4⋊C4—591no—
1098C2×C4⋊C4—591no—
1099C2×C4⋊C4—591no—
1100C2×C4⋊C4—591no—
1101C2×C4⋊C4—591no—
1102C2×C4⋊C4—591no—
1103C2×C4⋊C4—591no—
1104C2×C4⋊C4—591no—
1105C2×C4⋊C4—591no—
1106C2×C4⋊C4—591no—
1107C2×C4⋊C4—591no—
1108C2×C4⋊C4—591no—
1109C2×C4⋊C4—1184no—
1110C2×C4⋊C4—1184no—
1111C2×C4⋊C4—1184no—
1112C2×C4⋊C4—1184no—
1113C2×C4⋊C4—1184no—
1114C2×C4⋊C4—1184no—
1115C2×C4⋊C4—1184no—
1116C2×C4⋊C4—1184no—
1117C2×C4⋊C4—1184no—
1118C2×C4⋊C4—1184no—
1119C2×C4⋊C4—1184no—
1120C2×C4⋊C4—1184no—
1121C2×C4⋊C4—1184no—
1122C2×C4⋊C4—2362no—
1123C2×C4⋊C4C22×D5911yescharacteristic
1124C2×C4⋊C4C22×D5911yescharacteristic
1125C2×C4⋊C4C22×D5911yescharacteristic
1126C2×C4⋊C4C22×D5911yescharacteristic
1127C2×C4⋊C4C22×D5911yescharacteristic
1128C2×C4⋊C4C22×D5911yescharacteristic
1129C2×C4⋊C4C22×D5911yescharacteristic
1130C2×C4⋊C4C22×D5911yescharacteristic
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—591no—
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—1184no—
1159C2×C22⋊C4—1184no—
1160C2×C22⋊C4—1184no—
1161C2×C22⋊C4—1184no—
1162C2×C22⋊C4—1184no—
1163C2×C22⋊C4—1184no—
1164C2×C22⋊C4—1184no—
1165C2×C22⋊C4—2362no—
1166C2×C22⋊C4—2362no—
1167C2×C22⋊C4C22×D5911yescharacteristic
1168C2×C22⋊C4C22×D5911yescharacteristic
1169C2×C22⋊C4C22×D5911yescharacteristic
1170C2×C22⋊C4C22×D5911yescharacteristic
1171C2×C22⋊C4C22×D5911yescharacteristic
1172C2×C22⋊C4C22×D5911yescharacteristic
1173C2×C22⋊C4C22×D5911yescharacteristic
1174C2×C22⋊C4C22×D5911yescharacteristic
1175C2×C22⋊C4C22×D5911yescharacteristic
1176C2×C42—591no—
1177C2×C42—591no—
1178C2×C42—591no—
1179C2×C42—591no—
1180C2×C42—591no—
1181C2×C42—591no—
1182C2×C42—1184no—
1183C2×C42—2362no—
1184C2×C42C22×D5911yescharacteristic
1185C2×C42C22×D5911yescharacteristic
1186#95—591no—
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95—591no—
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95—591no—
1207#95—591no—
1208#95—591no—
1209#95—591no—
1210#95—591no—
1211#95—591no—
1212#95—591no—
1213#95—591no—
1214#95—591no—
1215#95—591no—
1216#95—591no—
1217#95—591no—
1218#95—591no—
1219#95—591no—
1220#95—591no—
1221#95—591no—
1222#95C22×D5911yescharacteristic
1223#95C22×D5911yescharacteristic
1224#95C22×D5911yescharacteristic
1225#95C22×D5911yescharacteristic
1226#95C22×D5911yescharacteristic
1227#95C22×D5911yescharacteristic
1228#95C22×D5911yescharacteristic
1229#95C22×D5911yescharacteristic
1230#95C22×D5911yescharacteristic
1231#95C22×D5911yescharacteristic
1232#95C22×D5911yescharacteristic
1233#95C22×D5911yescharacteristic
1234C24—591no—
1235C24—594no—
1236C24—594no—
1237C24—594no—
1238C24—591no—
1239C24—591no—
1240C24—1182no—
1241C24—1182no—
1242C24—1182no—
1243C24—1182no—
1244C24—1182no—
1245C24—1182no—
1246C24—1182no—
1247C24—1182no—
1248C24—1182no—
1249C24—1182no—
1250C24—1182no—
1251C24C23×D5911yescharacteristic
1252C24C23×D5911yescharacteristic
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—1182no—
1257C2×D4—1182no—
1258C2×D4—1182no—
1259C2×D4—1182no—
1260C2×D4—1182no—
1261C2×D4—1182no—
1262C2×D4—1182no—
1263C2×D4—1182no—
1264C2×D4—1182no—
1265C2×D4—23616no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—591no—
1276C22×C4—591no—
1277C22×C4—591no—
1278C22×C4—591no—
1279C22×C4—594no—
1280C22×C4—594no—
1281C22×C4—594no—
1282C22×C4—594no—
1283C22×C4—591no—
1284C22×C4—591no—
1285C22×C4—591no—
1286C22×C4—591no—
1287C22×C4—591no—
1288C22×C4—591no—
1289C22×C4—591no—
1290C22×C4—591no—
1291C22×C4—591no—
1292C22×C4—1182no—
1293C22×C4—1182no—
1294C22×C4—1182no—
1295C22×C4—1182no—
1296C22×C4—1182no—
1297C22×C4—1182no—
1298C22×C4—1182no—
1299C22×C4—1182no—
1300C22×C4—1182no—
1301C22×C4—1182no—
1302C22×C4—1182no—
1303C22×C4—1182no—
1304C22×C4—1182no—
1305C22×C4—1182no—
1306C22×C4—11832no—
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—1182no—
1336C22×C4—1182no—
1337C22×C4—1182no—
1338C22×C4—1182no—
1339C22×C4—1182no—
1340C22×C4—1182no—
1341C22×C4—1182no—
1342C22×C4—1182no—
1343C22×C4—1182no—
1344C22×C4—1182no—
1345C22×C4—1182no—
1346C22×C4—1182no—
1347C22×C4—1182no—
1348C22×C4—1182no—
1349C22×C4—2361no—
1350C22×C4—2361no—
1351C22×C4—2361no—
1352C22×C4—2361no—
1353C22×C4—23616no—
1354C22×C4—23616no—
1355C22×C4—2361no—
1356C22×C4—2361no—
1357C22×C4C23×D5911yescharacteristic
1358C22×C4C23×D5911yescharacteristic
1359C22×C4C23×D5911yescharacteristic
1360C22×C4C23×D5911yescharacteristic
1361C22×C4C23×D5911yescharacteristic
1362C22×C4C23×D5911yescharacteristic
1363C22×C4C23×D5911yescharacteristic
1364C22×C4C23×D5911yescharacteristic
1365C22×C4C23×D5911yescharacteristic
1366C22×C4C23×D5911yescharacteristic
1367C22×C4C23×D5911yescharacteristic
1368C22×C4C23×D5911yescharacteristic
1369C22×C4C23×D5911yescharacteristic
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—41no—
1377C4⋊C4—594no—
1378C4⋊C4—594no—
1379C4⋊C4—594no—
1380C4⋊C4—1182no—
1381C4⋊C4—1182no—
1382C4⋊C4—1182no—
1383C4⋊C4—1182no—
1384C4⋊C4—1182no—
1385C4⋊C4—1182no—
1386C4⋊C4—1182no—
1387C4⋊C4—1182no—
1388C4⋊C4—1182no—
1389C4⋊C4—1182no—
1390C4⋊C4—1182no—
1391C4⋊C4—1182no—
1392C4⋊C4—1182no—
1393C4⋊C4—1182no—
1394C4⋊C4—1182no—
1395C4⋊C4—1182no—
1396C4⋊C4—1182no—
1397C4⋊C4—1182no—
1398C4⋊C4—2361no—
1399C4⋊C4—2361no—
1400C4⋊C4—2361no—
1401C4⋊C4D4×D5914yescomplemented
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
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—1182no—
1421C22⋊C4—1182no—
1422C22⋊C4—1182no—
1423C22⋊C4—1182no—
1424C22⋊C4—1182no—
1425C22⋊C4—1182no—
1426C22⋊C4—1182no—
1427C22⋊C4—1182no—
1428C22⋊C4—1182no—
1429C22⋊C4—1182no—
1430C22⋊C4—1182no—
1431C22⋊C4—1182no—
1432C22⋊C4—2361no—
1433C22⋊C4—2361no—
1434C22⋊C4—2361no—
1435C22⋊C4—2361no—
1436C22⋊C4—2361no—
1437C22⋊C4—2361no—
1438C42—22no—
1439C42—41no—
1440C42—1182no—
1441C42—1182no—
1442C42—1182no—
1443C42—2361no—
1444C42—2361no—
1445C42—2361no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—592no—
1458C23—592no—
1459C23—592no—
1460C23—592no—
1461C23—592no—
1462C23—592no—
1463C23—592no—
1464C23—5916no—
1465C23—592no—
1466C23—592no—
1467C23—592no—
1468C23—1188no—
1469C23—1188no—
1470C23—1188no—
1471C23—1188no—
1472C23—1188no—
1473C23—1188no—
1474C23—1181no—
1475C23—1181no—
1476C23—1181no—
1477C23—1181no—
1478C23—1181no—
1479C23—1181no—
1480C23—1181no—
1481C23—1181no—
1482C23—1181no—
1483C23—1181no—
1484C23—1181no—
1485C23—2364no—
1486C23—2364no—
1487C23—2364no—
1488C23—2364no—
1489C23—2364no—
1490C23—2364no—
1491C23—2364no—
1492C23#41×D5912yes—
1493C23#41×D5912yes—
1494C23#41×D5912yes—
1495C23C24×D5911yescharacteristic
1496D4—44no—
1497D4—2364no—
1498D4—2364no—
1499D4—2364no—
1500C2×C4—28no—
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—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—592no—
1539C2×C4—592no—
1540C2×C4—592no—
1541C2×C4—592no—
1542C2×C4—1188no—
1543C2×C4—1188no—
1544C2×C4—1188no—
1545C2×C4—1188no—
1546C2×C4—1188no—
1547C2×C4—1188no—
1548C2×C4—1188no—
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—1181no—
1578C2×C4—1181no—
1579C2×C4—1181no—
1580C2×C4—1181no—
1581C2×C4—1181no—
1582C2×C4—1181no—
1583C2×C4—1181no—
1584C2×C4—2364no—
1585C2×C4—2364no—
1586C2×C4—2364no—
1587C2×C4—2364no—
1588C2×C4—2364no—
1589C2×C4—2364no—
1590C2×C4—2364no—
1591C2×C4—2364no—
1592C2×C4—2364no—
1593C2×C4—2364no—
1594C2×C4—2364no—
1595C2×C4—2364no—
1596C2×C4—2364no—
1597C2×C4—2364no—
1598C2×C4—2364no—
1599C2×C4C2×D4×D5912yes—
1600C2×C4C2×D4×D5912yes—
1601C2×C4C2×D4×D5912yes—
1602C2×C4#41×D5912yes—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—594no—
1617C22—594no—
1618C22—594no—
1619C22—594no—
1620C22—594no—
1621C22—594no—
1622C22—594no—
1623C22—594no—
1624C22—11832no—
1625C22—1182no—
1626C22—1182no—
1627C22—1182no—
1628C22—1182no—
1629C22—1182no—
1630C22—1182no—
1631C22—4728no—
1632C22—2361no—
1633C22—2361no—
1634C22—2361no—
1635C22—2361no—
1636C22—2361no—
1637C22—2361no—
1638C22—2361no—
1639C22#126×D5914yescomplemented
1640C22C22×D4×D5911yescharacteristic
1641C22C2×#41×D5911yescharacteristic
1642C22C2×#41×D5911yescharacteristic
1643C22C2×#41×D5911yescharacteristic
1644C22C2×#41×D5911yescharacteristic
1645C22H(5,𝔽2)×D5911yescharacteristic
1646C222−1+4×D5911yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—1182no—
1661C4—1182no—
1662C4—1182no—
1663C4—1182no—
1664C4—2361no—
1665C4—2361no—
1666C4—2361no—
1667C4—2361no—
1668C4—2361no—
1669C4—2361no—
1670C4—2361no—
1671C4—2361no—
1672C4—2361no—
1673C2—24no—
1674C2—81no—
1675C2—598no—
1676C2—1184no—
1677C2—4721no—
1678C2#525×D5911yescharacteristic
1679C2C2×#126×D5911yescharacteristic
1680C2#539×D5911yescharacteristic
1681C2#546×D5911yescharacteristic
1682C2#548×D5911yescharacteristic
1683C2#552×D5911yescharacteristic
1684C2#553×D5911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2481C2
prime radicalC22×D4×D59C22
hypercenter#2481D59
hypocenterC59C2×#2481
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2481

Complements

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

NH ≅ G/Ntype
1. C2×#126×D59C2semidirect
2. C22×C4⋊C4×D59C2semidirect
3. #21428364C2semidirect
4. #21428363C2semidirect
5. #21428362C2semidirect
6. #21428361C2semidirect
7. #21428360C2semidirect
8. #21428359C2semidirect
9. #21428358C2semidirect
10. #21428357C2semidirect
11. #21428356C2semidirect
12. #21428355C2semidirect
13. #21428354C2semidirect
14. #21428353C2semidirect
15. #21428352C2semidirect
16. #21428351C2semidirect
17. #21428350C2semidirect
18. #400×D59C2semidirect
19. #400×D59C2semidirect
20. #397×D59C2semidirect
21. #396×D59C2semidirect
22. #388×D59C2semidirect
23. #387×D59C2semidirect
24. #387×D59C2semidirect
28. #385×D59C2semidirect
29. #380×D59C2semidirect
30. C4×C22⋊C4×D59C2semidirect
31. C59×#2481C2semidirect
36. C2×#14273722C22semidirect
37. C2×#14273722C22semidirect
38. C2×#14273722C22semidirect
39. C2×#14273721C22semidirect
40. C2×#14273720C22semidirect
41. C2×#14273720C22semidirect
42. C2×#14273720C22semidirect
44. C22×C4⋊Dic59C22semidirect
45. C22×Dic59⋊C4C22semidirect
46. C22×Dic59⋊C4C22semidirect
56. C2×C4⋊C4×D59C22semidirect
57. C2×C4⋊C4×D59C22semidirect
58. C2×C4⋊C4×D59C22semidirect
59. C2×C4⋊C4×D59C22semidirect
71. #16837344C22semidirect
72. #16837344C22semidirect
73. #16837344C22semidirect
74. #16837344C22semidirect
75. #16837343C22semidirect
76. #16837343C22semidirect
77. #16837343C22semidirect
78. #16837343C22semidirect
79. #16837342C22semidirect
80. #16837342C22semidirect
81. #16837341C22semidirect
82. #16837341C22semidirect
83. #16837340C22semidirect
84. #16837340C22semidirect
85. #16837331C22semidirect
86. #16837331C22semidirect
87. #16837330C22semidirect
88. #16837330C22semidirect
89. #16837329C22semidirect
90. #16837328C22semidirect
91. #16837327C22semidirect
92. #16837326C22semidirect
93. #16837325C22semidirect
94. #16837325C22semidirect
95. #16837325C22semidirect
96. #16837324C22semidirect
97. #16837324C22semidirect
98. #16837324C22semidirect
99. #16837296C22semidirect
100. #16837295C22semidirect
101. #16837294C22semidirect
102. #16837293C22semidirect
103. #16837292C22semidirect
104. #16837291C22semidirect
105. #16837290C22semidirect
106. #16837289C22semidirect
107. #16837289C22semidirect
108. #16837288C22semidirect
109. #16837288C22semidirect
110. #16837287C22semidirect
111. #16837287C22semidirect
112. #16837286C22semidirect
113. #16837286C22semidirect
114. #16837285C22semidirect
115. #16837285C22semidirect
116. #16837284C22semidirect
117. #16837284C22semidirect
118. #16837283C22semidirect
119. #16837283C22semidirect
141. #16837277C22semidirect
142. #16837276C22semidirect
143. #16837276C22semidirect
144. #16837275C22semidirect
145. #16837274C22semidirect
146. #16837273C22semidirect
147. #16837273C22semidirect
148. #16837262C22semidirect
149. #16837261C22semidirect
150. #16837261C22semidirect
151. #16837260C22semidirect
152. #16837260C22semidirect
153. #16837259C22semidirect
154. #16837259C22semidirect
155. C22⋊C4×Dic59C22semidirect
156. C22⋊C4×Dic59C22semidirect
157. C4×(C2×D59)⋊C4C22semidirect
158. C4×(C2×D59)⋊C4C22semidirect
159. C4×C22⋊Dic59C22semidirect
160. #16837249C22semidirect
161. #16837249C22semidirect
174. C2×#126×C59C22semidirect
175. C22×C4⋊C4×C59C22semidirect
176. C59×#400C22semidirect
177. C59×#400C22semidirect
178. C59×#397C22semidirect
179. C59×#396C22semidirect
180. C59×#388C22semidirect
181. C59×#387C22semidirect
182. C59×#387C22semidirect
186. C59×#385C22semidirect
187. C59×#380C22semidirect
188. C4×C22⋊C4×C59C22semidirect
273. C4⋊C4×D59D4semidirect
534. C4⋊C4×C59C2×D4semidirect
580. C4⋊Dic59C2×D4semidirect
595. Dic59⋊C4C2×D4semidirect
596. Dic59⋊C4C2×D4semidirect
642. C22×D59#126semidirect
774. C22×C59C2×#126semidirect
799. C2×D59C2×#126semidirect
848. #2481D59direct (N × H)
873. D59#2481direct (N × H)
886. C2×#126C2×D59semidirect
903. C22×C4⋊C4C2×D59semidirect
929. #400C2×D59semidirect
930. #400C2×D59semidirect
938. #397C2×D59semidirect
946. #396C2×D59semidirect
954. #388C2×D59semidirect
969. #387C2×D59semidirect
970. #387C2×D59semidirect
1002. #385C2×D59semidirect
1010. #380C2×D59semidirect
1018. C4×C22⋊C4C2×D59semidirect
1031. C59C2×#2481semidirect
1401. C4⋊C4D4×D59semidirect
1639. C22#126×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#126×D592
C22×C4⋊C4×D592
#214283642
#214283632
#214283622
#214283612
#214283602
#214283592
#214283582
#214283572
#214283562
#214283552
#214283542
#214283532
#214283522
#214283512
#214283502
#400×D592
#397×D592
#396×D592
#388×D592
#387×D592
#386×D592
#385×D592
#380×D592
C4×C22⋊C4×D592
C59×#24812
C2×#248159