Finite Group Databasebeta

← D59×#2459 #28756323

Subgroups — D59×#2459 #28756323

Order 15104.

3394 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#124×D59C211yesmaximal, characteristic, complemented
2C2×C4×D4×D59C211yesmaximal, characteristic, complemented
3#21428040C211yesmaximal, characteristic, complemented
4#21428039C211yesmaximal, characteristic, complemented
5#21428038C211yesmaximal, characteristic, complemented
6#21428037C211yesmaximal, characteristic, complemented
7#21428036C211yesmaximal, characteristic, complemented
8#21428035C211yesmaximal, characteristic, complemented
9#21428034C211yesmaximal, characteristic, complemented
10#21428033C211yesmaximal, characteristic, complemented
11#21428032C211yesmaximal, characteristic, complemented
12#21428031C211yesmaximal, characteristic, complemented
13#21428030C211yesmaximal, characteristic, complemented
14#21428029C211yesmaximal, characteristic, complemented
15#21428028C211yesmaximal, characteristic, complemented
16#21428027C211yesmaximal, characteristic, complemented
17#21428026C211yesmaximal, characteristic, complemented
18#394×D59C211yesmaximal, characteristic, complemented
19#394×D59C211yesmaximal, characteristic, complemented
20#393×D59C211yesmaximal, characteristic, complemented
21#392×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, complemented
28#386×D59C211yesmaximal, characteristic, complemented
29#381×D59C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2459C211yesmaximal, characteristic, complemented
32C22×Q8×D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C22×D4×D59C2211yescharacteristic
35C22×D4×D59C2211yescharacteristic
36C23×C4×D59C2211yescharacteristic
37C23×C4×D59C2211yescharacteristic
38C2×#14273716C2211yescharacteristic, complemented
39C2×#14273715C2211yescharacteristic, complemented
40C2×#14273714C2211yescharacteristic, complemented
41C2×#14273713C2211yescharacteristic, complemented
42C2×#14273713C2211yescharacteristic, complemented
43C2×#14273713C2211yescharacteristic, complemented
44C2×#14273713C2211yescharacteristic, complemented
45#124×D59—28no—
46C2×C4×D236C2211yescharacteristic, complemented
47C2×D4×Dic59C2211yescharacteristic, complemented
48C2×#14273689C2211yescharacteristic, complemented
49C2×C4×C22⋊D59C2211yescharacteristic, complemented
50C2×C4×C22⋊D59C2211yescharacteristic, complemented
51C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
52C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
53C4×D4×D59—28no—
54C2×C4⋊C4×D59C2211yescharacteristic
55C2×C4⋊C4×D59C2211yescharacteristic
56C2×C4⋊C4×D59C2211yescharacteristic
57C2×C22⋊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×C22⋊C4×D59C2211yescharacteristic
70C2×C42×D59C2211yescharacteristic
71C2×C42×D59C2211yescharacteristic
72C2×C42×D59C2211yescharacteristic
73#16837320C2211yescharacteristic, complemented
74#16837320C2211yescharacteristic, complemented
75#16837319C2211yescharacteristic, complemented
76#16837319C2211yescharacteristic, complemented
77#16837318C2211yescharacteristic, complemented
78#16837318C2211yescharacteristic, complemented
79#16837318C2211yescharacteristic, complemented
80#16837318C2211yescharacteristic, complemented
81#16837317C2211yescharacteristic, complemented
82#16837317C2211yescharacteristic, complemented
83#16837317C2211yescharacteristic, complemented
84#16837317C2211yescharacteristic, complemented
85#16837316C2211yescharacteristic, complemented
86#16837316C2211yescharacteristic, complemented
87#16837315C2211yescharacteristic, complemented
88#16837315C2211yescharacteristic, complemented
89#16837315C2211yescharacteristic, complemented
90#16837314C2211yescharacteristic, complemented
91#16837314C2211yescharacteristic, complemented
92#16837314C2211yescharacteristic, complemented
93#16837313C2211yescharacteristic, complemented
94#16837312C2211yescharacteristic
95#16837311C2211yescharacteristic
96#16837311C2211yescharacteristic
97#16837311C2211yescharacteristic
98#16837310C2211yescharacteristic
99#16837310C2211yescharacteristic
100#16837310C2211yescharacteristic
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, complemented
137#16837282C2211yescharacteristic, complemented
138#16837281C2211yescharacteristic, complemented
139#16837281C2211yescharacteristic, complemented
140#16837280C2211yescharacteristic, complemented
141#16837280C2211yescharacteristic, complemented
142#16837280C2211yescharacteristic, complemented
143#16837280C2211yescharacteristic, complemented
144#16837279C2211yescharacteristic, complemented
145#16837279C2211yescharacteristic, complemented
146#16837278C2211yescharacteristic, complemented
147#16837278C2211yescharacteristic, complemented
148#16837278C2211yescharacteristic, complemented
149#16837278C2211yescharacteristic, complemented
150#16837265C2211yescharacteristic, complemented
151#16837264C2211yescharacteristic, complemented
152#16837264C2211yescharacteristic, complemented
153#16837264C2211yescharacteristic, complemented
154#16837264C2211yescharacteristic, complemented
155#16837263C2211yescharacteristic, complemented
156#16837263C2211yescharacteristic, 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×#124×C59C2211yescharacteristic, complemented
175C2×C4×D4×C59C2211yescharacteristic, complemented
176C59×#394C2211yescharacteristic, complemented
177C59×#394C2211yescharacteristic, complemented
178C59×#393C2211yescharacteristic, complemented
179C59×#392C2211yescharacteristic
180C59×#391C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#387C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic, complemented
186C59×#386C2211yescharacteristic, complemented
187C59×#381C2211yescharacteristic, complemented
188C4×C22⋊C4×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C24×D59C2311yescharacteristic
192C22×Dic118C2311yescharacteristic
193C22×Dic118C2311yescharacteristic
194C22×Dic118C2311yescharacteristic
195C2×Q8×D59—24no—
196C2×Q8×D59—24no—
197C2×Q8×D59—42no—
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C2×D4×D59—24no—
208C2×D4×D59—24no—
209C2×D4×D59—24no—
210C2×D4×D59—24no—
211C2×D4×D59—24no—
212C2×D4×D59—24no—
213C2×D4×D59—42no—
214C2×D4×D59—42no—
215C2×D4×D59—42no—
216C23×Dic59C2311yescharacteristic
217C23×Dic59C2311yescharacteristic
218C22×C4×D59—24no—
219C22×C4×D59—24no—
220C22×C4×D59—24no—
221C22×C4×D59—24no—
222C22×C4×D59—42no—
223C22×C4×D59—42no—
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226C22×C4×D59C2311yescharacteristic
227C22×C4×D59C2311yescharacteristic
228C22×C4×D59C2311yescharacteristic
229C22×C4×D59C2311yescharacteristic
230C22×C4×D59C2311yescharacteristic
231C22×C4×D59C2311yescharacteristic
232C22×C4×D59C2311yescharacteristic
233C22×C4×D59C2311yescharacteristic
234C22×C4×D59C2311yescharacteristic
235C22×C4×D59C2311yescharacteristic
236C22×C4×D59C2311yescharacteristic
237C22×C4×D59C2311yescharacteristic
238C22×C4×D59C2311yescharacteristic
239C22×C4×D59C2311yescharacteristic
240#14273716—24no—
241#14273715—24no—
242#14273714—24no—
243#14273713—24no—
244#14273713—24no—
245#14273713—24no—
246#14273713—24no—
247C4×D236—24no—
248D4×Dic59—24no—
249#14273689—24no—
250C4×C22⋊D59—24no—
251C4×C22⋊D59—24no—
252(C22⋊D59)⋊C4—24no—
253(C22⋊D59)⋊C4—24no—
254C2×C4⋊Dic59C2311yescharacteristic
255C2×C4⋊Dic59C2311yescharacteristic
256C2×C4⋊Dic59C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C4⋊C4×D59—24no—
264C4⋊C4×D59—24no—
265C4⋊C4×D59—42no—
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×(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
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
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—24no—
313C22⋊C4×D59—42no—
314C22⋊C4×D59—42no—
315C22⋊C4×D59—42no—
316C22⋊C4×D59—42no—
317C22⋊C4×D59D418yescomplemented
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C2×C4×Dic59C2311yescharacteristic
327C42×D59—24no—
328C42×D59—24no—
329C42×D59—42no—
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
354C59⋊#95C2311yescharacteristic
355C59⋊#95C2311yescharacteristic
356C59⋊#95C2311yescharacteristic
357C59⋊#95C2311yescharacteristic
358C59⋊#95C2311yescharacteristic
359C59⋊#95C2311yescharacteristic
360C22×Q8×C59C2311yescharacteristic
361C22×D4×C59C2311yescharacteristic
362C22×D4×C59C2311yescharacteristic
363C22×D4×C59C2311yescharacteristic
364C23×C4×C59C2311yescharacteristic
365C23×C4×C59C2311yescharacteristic
366#124×C59—24no—
367C4×D4×C59—24no—
368C2×C4⋊C4×C59C2311yescharacteristic
369C2×C4⋊C4×C59C2311yescharacteristic
370C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C42×C59C2311yescharacteristic
385C2×C42×C59C2311yescharacteristic
386C2×C42×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391#95×C59C2311yescharacteristic
392#95×C59C2311yescharacteristic
393#95×C59C2311yescharacteristic
394#95×C59C2311yescharacteristic
395#95×C59C2311yescharacteristic
396#95×C59C2311yescharacteristic
397C24×C59C2411yescharacteristic
398C24×C59C2411yescharacteristic
399C24×C59C2411yescharacteristic
400C23×D59—22no—
401C23×D59—22no—
402C23×D59—22no—
403C23×D59—22no—
404C23×D59—22no—
405C23×D59—22no—
406C23×D59—22no—
407C23×D59—22no—
408C23×D59—22no—
409C23×D59—22no—
410C23×D59—22no—
411C23×D59—22no—
412C23×D59—22no—
413C23×D59—22no—
414C23×D59—22no—
415C23×D59—22no—
416C23×D59—22no—
417C23×D59—22no—
418C23×D59—22no—
419C23×D59C2×D414yes—
420C23×D59#4114yes—
421C23×D59C2411yescharacteristic
422C23×D59C2411yescharacteristic
423C23×D59C2411yescharacteristic
424C23×D59C2411yescharacteristic
425C2×Q8×C59—22no—
426C2×Q8×C59—22no—
427C2×Q8×C59—41no—
428C2×D4×C59—22no—
429C2×D4×C59—22no—
430C2×D4×C59—22no—
431C2×D4×C59—22no—
432C2×D4×C59—22no—
433C2×D4×C59—22no—
434C2×D4×C59—41no—
435C2×D4×C59—41no—
436C2×D4×C59—41no—
437C22×C4×C59—22no—
438C22×C4×C59—22no—
439C22×C4×C59—22no—
440C22×C4×C59—22no—
441C22×C4×C59—41no—
442C22×C4×C59—41no—
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C22×C4×C59C2411yescharacteristic
450C22×C4×C59C2411yescharacteristic
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2411yescharacteristic
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2411yescharacteristic
455C2×C22⋊D59—22no—
456C2×C22⋊D59—22no—
457C2×C22⋊D59—22no—
458C2×C22⋊D59—22no—
459C2×C22⋊D59—22no—
460C2×C22⋊D59—22no—
461C2×C22⋊D59—22no—
462C2×C22⋊D59—22no—
463C2×C22⋊D59—22no—
464C2×C22⋊D59—22no—
465C2×C22⋊D59—22no—
466C2×C22⋊D59—22no—
467C2×C22⋊D59—41no—
468C2×C22⋊D59—41no—
469C2×C22⋊D59—41no—
470C2×C22⋊D59—41no—
471C2×C22⋊D59—41no—
472C2×C22⋊D59—41no—
473C22×Dic59—22no—
474C22×Dic59—22no—
475C22×Dic59—22no—
476C22×Dic59—22no—
477C22×Dic59—41no—
478C22×Dic59—41no—
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C22×Dic59C2411yescharacteristic
484C22×Dic59C2411yescharacteristic
485C22×Dic59C2411yescharacteristic
486C22×Dic59C2411yescharacteristic
487C22×Dic59C2411yescharacteristic
488C22×Dic59C2411yescharacteristic
489C22×Dic59C2411yescharacteristic
490C22×Dic59C2411yescharacteristic
491Q8×D59—416no—
492D4×D59—232no—
493D4×D59—416no—
494D4×D59—416no—
495C2×D236—22no—
496C2×D236—22no—
497C2×D236—22no—
498C2×D236—22no—
499C2×D236—22no—
500C2×D236—22no—
501C2×D236—41no—
502C2×D236—41no—
503C2×D236—41no—
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—22no—
518C2×C4×D59—22no—
519C2×C4×D59—22no—
520C2×C4×D59—22no—
521C2×C4×D59—22no—
522C2×C4×D59—22no—
523C2×C4×D59—22no—
524C2×C4×D59—22no—
525C2×C4×D59—22no—
526C2×C4×D59—22no—
527C2×C4×D59—22no—
528C2×C4×D59—22no—
529C2×C4×D59—22no—
530C2×C4×D59—22no—
531C2×C4×D59—22no—
532C2×C4×D59—22no—
533C2×C4×D59—22no—
534C2×C4×D59—22no—
535C2×C4×D59—22no—
536C2×C4×D59—22no—
537C2×C4×D59—22no—
538C2×C4×D59—22no—
539C2×C4×D59—22no—
540C2×C4×D59—22no—
541C2×C4×D59—22no—
542C2×C4×D59—22no—
543C2×C4×D59—416no—
544C2×C4×D59—416no—
545C2×C4×D59—41no—
546C2×C4×D59—41no—
547C2×C4×D59—41no—
548C2×C4×D59—41no—
549C2×C4×D59C2×D414yes—
550C2×C4×D59C2×D414yes—
551C2×C4×D59#4114yes—
552C2×C4×D59#4114yes—
553C2×C4×D59#4114yes—
554C2×Dic118—22no—
555C2×Dic118—22no—
556C2×Dic118—22no—
557C2×Dic118—22no—
558C2×Dic118—22no—
559C2×Dic118—22no—
560C2×Dic118—41no—
561C2×Dic118—41no—
562C2×Dic118—41no—
563C4⋊C4×C59—22no—
564C4⋊C4×C59—22no—
565C4⋊C4×C59—41no—
566C22⋊C4×C59—22no—
567C22⋊C4×C59—22no—
568C22⋊C4×C59—22no—
569C22⋊C4×C59—22no—
570C22⋊C4×C59—22no—
571C22⋊C4×C59—22no—
572C22⋊C4×C59—22no—
573C22⋊C4×C59—22no—
574C22⋊C4×C59—41no—
575C22⋊C4×C59—41no—
576C22⋊C4×C59—41no—
577C22⋊C4×C59—41no—
578C22⋊C4×C59C2×D414yescomplemented
579C42×C59—22no—
580C42×C59—22no—
581C42×C59—41no—
582C22⋊Dic59—22no—
583C22⋊Dic59—22no—
584C22⋊Dic59—22no—
585C22⋊Dic59—22no—
586C22⋊Dic59—22no—
587C22⋊Dic59—22no—
588C22⋊Dic59—22no—
589C22⋊Dic59—22no—
590C22⋊Dic59—41no—
591C22⋊Dic59—41no—
592C22⋊Dic59—41no—
593C22⋊Dic59—41no—
594C22⋊Dic59C2×D414yescomplemented
595(C2×D59)⋊C4—22no—
596(C2×D59)⋊C4—22no—
597(C2×D59)⋊C4—22no—
598(C2×D59)⋊C4—22no—
599(C2×D59)⋊C4—22no—
600(C2×D59)⋊C4—22no—
601(C2×D59)⋊C4—22no—
602(C2×D59)⋊C4—22no—
603(C2×D59)⋊C4—22no—
604(C2×D59)⋊C4—22no—
605(C2×D59)⋊C4—22no—
606(C2×D59)⋊C4—22no—
607(C2×D59)⋊C4—22no—
608(C2×D59)⋊C4—22no—
609(C2×D59)⋊C4—22no—
610(C2×D59)⋊C4—22no—
611(C2×D59)⋊C4—41no—
612(C2×D59)⋊C4—41no—
613(C2×D59)⋊C4—41no—
614(C2×D59)⋊C4—41no—
615(C2×D59)⋊C4—41no—
616(C2×D59)⋊C4—41no—
617(C2×D59)⋊C4—41no—
618(C2×D59)⋊C4—41no—
619(C2×D59)⋊C4C2×D414yescomplemented
620(C2×D59)⋊C4C2×D414yescomplemented
621C4⋊Dic59—22no—
622C4⋊Dic59—22no—
623C4⋊Dic59—41no—
624Dic59⋊C4—22no—
625Dic59⋊C4—22no—
626Dic59⋊C4—22no—
627Dic59⋊C4—22no—
628Dic59⋊C4—41no—
629Dic59⋊C4—41no—
630C4×Dic59—22no—
631C4×Dic59—22no—
632C4×Dic59—22no—
633C4×Dic59—22no—
634C4×Dic59—22no—
635C4×Dic59—22no—
636C4×Dic59—41no—
637C4×Dic59—41no—
638C4×Dic59—41no—
639C23×C59—21no—
640C23×C59—21no—
641C23×C59—21no—
642C23×C59—21no—
643C23×C59—21no—
644C23×C59—21no—
645C23×C59—21no—
646C23×C59—21no—
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59—21no—
651C23×C59—21no—
652C23×C59—21no—
653C23×C59—21no—
654C23×C59—21no—
655C23×C59—21no—
656C23×C59—21no—
657C23×C59—21no—
658C23×C59C22×D412yes—
659C23×C59C2×#4112yes—
660C23×C59C2511yescharacteristic
661C22×D59—21no—
662C22×D59—21no—
663C22×D59—21no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—21no—
667C22×D59—21no—
668C22×D59—21no—
669C22×D59—21no—
670C22×D59—21no—
671C22×D59—21no—
672C22×D59—21no—
673C22×D59—28no—
674C22×D59—28no—
675C22×D59—28no—
676C22×D59—28no—
677C22×D59—28no—
678C22×D59—28no—
679C22×D59—21no—
680C22×D59—21no—
681C22×D59—21no—
682C22×D59—21no—
683C22×D59—21no—
684C22×D59—21no—
685C22×D59—21no—
686C22×D59—44no—
687C22×D59—44no—
688C22×D59—44no—
689C22×D59—44no—
690C22×D59—44no—
691C22×D59—44no—
692C22×D59—44no—
693C22×D59—44no—
694C22×D59—44no—
695C22×D59—44no—
696C22×D59—44no—
697C22×D59—44no—
698C22×D59—44no—
699C22×D59—44no—
700C22×D59—44no—
701C22×D59C22×D412yes—
702C22×D59C22×D412yes—
703C22×D59C2×#4112yes—
704C22×D59C2×#4112yes—
705C22×D59C2×#4112yes—
706C22×D59C2×#4112yes—
707C22×D59C2×#4112yes—
708C22×D59H(5,𝔽2)12yes—
709C22×D59H(5,𝔽2)12yes—
710Q8×C59—44no—
711D4×C59—28no—
712D4×C59—44no—
713D4×C59—44no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—44no—
746C2×C4×C59—44no—
747C2×C4×C59C22×D412yes—
748C2×C4×C59C22×D412yes—
749C2×C4×C59C2×#4112yes—
750C2×C4×C59C2×#4112yes—
751C2×C4×C59C2×#4112yes—
752C22⋊D59—28no—
753C22⋊D59—28no—
754C22⋊D59—44no—
755C22⋊D59—44no—
756C22⋊D59—44no—
757C22⋊D59—44no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—44no—
790C2×Dic59—44no—
791C2×Dic59C22×D412yes—
792C2×Dic59C22×D412yes—
793C2×Dic59C2×#4112yes—
794C2×Dic59C2×#4112yes—
795C2×Dic59C2×#4112yes—
796D236—28no—
797D236—44no—
798D236—44no—
799C4×D59—28no—
800C4×D59—28no—
801C4×D59—28no—
802C4×D59—28no—
803C4×D59—28no—
804C4×D59—44no—
805C4×D59—44no—
806C4×D59—44no—
807C4×D59—44no—
808C4×D59—44no—
809C4×D59—44no—
810C4×D59—44no—
811C4×D59—44no—
812C4×D59—44no—
813C4×D59—44no—
814C4×D59—44no—
815Dic118—44no—
816Dic118—44no—
817Dic118—44no—
818C2×#2459—591nomaximal, Sylow
819C22×C59—22no—
820C22×C59—22no—
821C22×C59—22no—
822C22×C59—22no—
823C22×C59—22no—
824C22×C59—22no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59C23×D411yescharacteristic
841C22×C59C22×#4111yescharacteristic
842C22×C59C22×#4111yescharacteristic
843C22×C59C22×#4111yescharacteristic
844C22×C59C22×#4111yescharacteristic
845C22×C59C2×H(5,𝔽2)11yescharacteristic
846C22×C59C2×H(5,𝔽2)11yescharacteristic
847C2×D59—22no—
848C2×D59—22no—
849C2×D59—22no—
850C2×D59—22no—
851C2×D59—22no—
852C2×D59—22no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—416no—
862C2×D59—416no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—88no—
871C2×D59#52514yes—
872C2×D59#52914yes—
873C2×D59#53814yes—
874C2×D59#54614yes—
875C2×D59#54614yes—
876C2×D59#55514yes—
877C2×D59#55914yes—
878C4×C59—22no—
879C4×C59—22no—
880C4×C59—22no—
881C4×C59—22no—
882C4×C59—22no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59—41no—
886C4×C59—41no—
887C4×C59—41no—
888C4×C59—41no—
889C4×C59—41no—
890Dic59—22no—
891Dic59—22no—
892Dic59—22no—
893Dic59—22no—
894Dic59—22no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898Dic59—41no—
899Dic59—41no—
900Dic59—41no—
901Dic59—41no—
902C22×#124—591no—
903C22×C4×D4—591no—
904#2459—591no—
905#2459—591no—
906#2459—591no—
907#2459—591no—
908#2459—591no—
909#2459—591no—
910#2459—591no—
911#2459—591no—
912#2459—591no—
913#2459—591no—
914#2459—591no—
915#2459—591no—
916#2459—591no—
917#2459—591no—
918#2459—591no—
919#2459D5911yescharacteristic, direct product factor
920C2×#394—591no—
921C2×#394—591no—
922C2×#393—591no—
923C2×#392—591no—
924C2×#391—591no—
925C2×#388—591no—
926C2×#388—591no—
927C2×#388—591no—
928C2×#387—591no—
929C2×#386—591no—
930C2×#386—591no—
931C2×#381—591no—
932C2×C4×C22⋊C4—591no—
933C2×C59—42no—
934C2×C59—42no—
935C2×C59—81no—
936C2×C59C2×#52511yescharacteristic
937C2×C59C2×#52911yescharacteristic
938C2×C59C2×#53811yescharacteristic
939C2×C59C2×#54611yescharacteristic
940C2×C59C2×#54611yescharacteristic
941C2×C59C2×#55511yescharacteristic
942C2×C59C2×#55911yescharacteristic
943D59—42no—
944D59—42no—
945D59—81no—
946D59#245918yesdirect product factor
947C23×Q8—591no—
948C23×D4—591no—
949C23×D4—591no—
950C23×D4—591no—
951C24×C4—591no—
952C24×C4—591no—
953C2×#124—591no—
954C2×#124—591no—
955C2×#124—591no—
956C2×#124—591no—
957C2×#124—591no—
958C2×#124—591no—
959C2×#124—591no—
960C2×#124—1188no—
961C2×#124C2×D5911yescharacteristic, complemented
962C2×C4×D4—591no—
963C2×C4×D4—591no—
964C2×C4×D4—591no—
965C2×C4×D4—591no—
966C2×C4×D4—591no—
967C2×C4×D4—591no—
968C2×C4×D4—591no—
969C2×C4×D4—1188no—
970C2×C4×D4C2×D5911yescharacteristic, complemented
971C22×C4⋊C4—591no—
972C22×C4⋊C4—591no—
973C22×C4⋊C4—591no—
974C22×C22⋊C4—591no—
975C22×C22⋊C4—591no—
976C22×C22⋊C4—591no—
977C22×C22⋊C4—591no—
978C22×C22⋊C4—591no—
979C22×C22⋊C4—591no—
980C22×C22⋊C4—591no—
981C22×C22⋊C4—591no—
982C22×C22⋊C4—591no—
983C22×C22⋊C4—591no—
984C22×C22⋊C4—591no—
985C22×C22⋊C4—591no—
986C22×C22⋊C4—591no—
987C22×C42—591no—
988C22×C42—591no—
989C22×C42—591no—
990#394—591no—
991#394—591no—
992#394—591no—
993#394—591no—
994#394—591no—
995#394—591no—
996#394—591no—
997#394—591no—
998#394—591no—
999#394—591no—
1000#394—591no—
1001#394—591no—
1002#394—591no—
1003#394—591no—
1004#394C2×D5911yescharacteristic, complemented
1005#394C2×D5911yescharacteristic, complemented
1006#393—591no—
1007#393—591no—
1008#393—591no—
1009#393—591no—
1010#393—591no—
1011#393—591no—
1012#393—591no—
1013#393C2×D5911yescharacteristic, complemented
1014#392—591no—
1015#392—591no—
1016#392—591no—
1017#392—591no—
1018#392—591no—
1019#392—591no—
1020#392—591no—
1021#392C2×D5911yescharacteristic
1022#391—591no—
1023#391—591no—
1024#391—591no—
1025#391—591no—
1026#391—591no—
1027#391—591no—
1028#391—591no—
1029#391C2×D5911yescharacteristic, complemented
1030#388—591no—
1031#388—591no—
1032#388—591no—
1033#388—591no—
1034#388—591no—
1035#388—591no—
1036#388—591no—
1037#388—591no—
1038#388—591no—
1039#388—591no—
1040#388—591no—
1041#388—591no—
1042#388—591no—
1043#388—591no—
1044#388—591no—
1045#388—591no—
1046#388—591no—
1047#388—591no—
1048#388—591no—
1049#388—591no—
1050#388—591no—
1051#388C2×D5911yescharacteristic, complemented
1052#388C2×D5911yescharacteristic, complemented
1053#388C2×D5911yescharacteristic, complemented
1054#387—591no—
1055#387—591no—
1056#387—591no—
1057#387—591no—
1058#387—591no—
1059#387—591no—
1060#387—591no—
1061#387C2×D5911yescharacteristic, complemented
1062#386—591no—
1063#386—591no—
1064#386—591no—
1065#386—591no—
1066#386—591no—
1067#386—591no—
1068#386—591no—
1069#386—591no—
1070#386—591no—
1071#386—591no—
1072#386—591no—
1073#386—591no—
1074#386—591no—
1075#386—591no—
1076#386C2×D5911yescharacteristic, complemented
1077#386C2×D5911yescharacteristic, complemented
1078#381—591no—
1079#381—591no—
1080#381—591no—
1081#381—591no—
1082#381—591no—
1083#381—591no—
1084#381—591no—
1085#381C2×D5911yescharacteristic, complemented
1086C4×C22⋊C4—591no—
1087C4×C22⋊C4—591no—
1088C4×C22⋊C4—591no—
1089C4×C22⋊C4—591no—
1090C4×C22⋊C4—591no—
1091C4×C22⋊C4—591no—
1092C4×C22⋊C4—591no—
1093C4×C22⋊C4C2×D5911yescharacteristic, complemented
1094C2×#95—591no—
1095C2×#95—591no—
1096C2×#95—591no—
1097C2×#95—591no—
1098C2×#95—591no—
1099C2×#95—591no—
1100C2×#95—591no—
1101C2×#95—591no—
1102C2×#95—591no—
1103C2×#95—591no—
1104C59C2×#245911yescharacteristic, complemented, Sylow
1105C25—591no—
1106C25—591no—
1107C25—591no—
1108C22×Q8—591no—
1109C22×Q8—591no—
1110C22×Q8—591no—
1111C22×Q8—1184no—
1112C22×Q8—1184no—
1113C22×Q8—2362no—
1114C22×Q8C22×D5911yescharacteristic
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—591no—
1118C22×D4—591no—
1119C22×D4—591no—
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—1184no—
1125C22×D4—1184no—
1126C22×D4—1184no—
1127C22×D4—1184no—
1128C22×D4—1184no—
1129C22×D4—1184no—
1130C22×D4—2362no—
1131C22×D4—2362no—
1132C22×D4—2362no—
1133C22×D4C22×D5911yescharacteristic
1134C22×D4C22×D5911yescharacteristic
1135C22×D4C22×D5911yescharacteristic
1136C23×C4—591no—
1137C23×C4—591no—
1138C23×C4—591no—
1139C23×C4—591no—
1140C23×C4—591no—
1141C23×C4—591no—
1142C23×C4—591no—
1143C23×C4—591no—
1144C23×C4—591no—
1145C23×C4—591no—
1146C23×C4—591no—
1147C23×C4—591no—
1148C23×C4—591no—
1149C23×C4—591no—
1150C23×C4—591no—
1151C23×C4—591no—
1152C23×C4—591no—
1153C23×C4—591no—
1154C23×C4—1184no—
1155C23×C4—1184no—
1156C23×C4—1184no—
1157C23×C4—1184no—
1158C23×C4—2362no—
1159C23×C4—2362no—
1160C23×C4C22×D5911yescharacteristic
1161C23×C4C22×D5911yescharacteristic
1162#124—24no—
1163#124—1184no—
1164#124—1184no—
1165#124—1184no—
1166#124—1184no—
1167#124—1184no—
1168#124—1184no—
1169#124—1184no—
1170C4×D4—24no—
1171C4×D4—1184no—
1172C4×D4—1184no—
1173C4×D4—1184no—
1174C4×D4—1184no—
1175C4×D4—1184no—
1176C4×D4—1184no—
1177C4×D4—1184no—
1178C2×C4⋊C4—591no—
1179C2×C4⋊C4—591no—
1180C2×C4⋊C4—591no—
1181C2×C4⋊C4—591no—
1182C2×C4⋊C4—591no—
1183C2×C4⋊C4—591no—
1184C2×C4⋊C4—591no—
1185C2×C4⋊C4—591no—
1186C2×C4⋊C4—591no—
1187C2×C4⋊C4—1184no—
1188C2×C4⋊C4—1184no—
1189C2×C4⋊C4—2362no—
1190C2×C4⋊C4C22×D5911yescharacteristic
1191C2×C4⋊C4C22×D5911yescharacteristic
1192C2×C4⋊C4C22×D5911yescharacteristic
1193C2×C22⋊C4—591no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—591no—
1196C2×C22⋊C4—598no—
1197C2×C22⋊C4—591no—
1198C2×C22⋊C4—591no—
1199C2×C22⋊C4—591no—
1200C2×C22⋊C4—591no—
1201C2×C22⋊C4—591no—
1202C2×C22⋊C4—591no—
1203C2×C22⋊C4—591no—
1204C2×C22⋊C4—591no—
1205C2×C22⋊C4—591no—
1206C2×C22⋊C4—591no—
1207C2×C22⋊C4—591no—
1208C2×C22⋊C4—591no—
1209C2×C22⋊C4—591no—
1210C2×C22⋊C4—591no—
1211C2×C22⋊C4—591no—
1212C2×C22⋊C4—591no—
1213C2×C22⋊C4—591no—
1214C2×C22⋊C4—591no—
1215C2×C22⋊C4—591no—
1216C2×C22⋊C4—591no—
1217C2×C22⋊C4—591no—
1218C2×C22⋊C4—591no—
1219C2×C22⋊C4—591no—
1220C2×C22⋊C4—591no—
1221C2×C22⋊C4—591no—
1222C2×C22⋊C4—591no—
1223C2×C22⋊C4—591no—
1224C2×C22⋊C4—591no—
1225C2×C22⋊C4—591no—
1226C2×C22⋊C4—591no—
1227C2×C22⋊C4—591no—
1228C2×C22⋊C4—591no—
1229C2×C22⋊C4—591no—
1230C2×C22⋊C4—591no—
1231C2×C22⋊C4—591no—
1232C2×C22⋊C4—591no—
1233C2×C22⋊C4—1184no—
1234C2×C22⋊C4—1184no—
1235C2×C22⋊C4—1184no—
1236C2×C22⋊C4—1184no—
1237C2×C22⋊C4—1184no—
1238C2×C22⋊C4—1184no—
1239C2×C22⋊C4—1184no—
1240C2×C22⋊C4—1184no—
1241C2×C22⋊C4—2362no—
1242C2×C22⋊C4—2362no—
1243C2×C22⋊C4—2362no—
1244C2×C22⋊C4—2362no—
1245C2×C22⋊C4C22×D5911yescharacteristic
1246C2×C22⋊C4C22×D5911yescharacteristic
1247C2×C22⋊C4C22×D5911yescharacteristic
1248C2×C22⋊C4C22×D5911yescharacteristic
1249C2×C22⋊C4C22×D5911yescharacteristic
1250C2×C22⋊C4C22×D5911yescharacteristic
1251C2×C22⋊C4C22×D5911yescharacteristic
1252C2×C22⋊C4C22×D5911yescharacteristic
1253C2×C22⋊C4C22×D5911yescharacteristic
1254C2×C22⋊C4C22×D5911yescharacteristic
1255C2×C22⋊C4C22×D5911yescharacteristic
1256C2×C22⋊C4C22×D5911yescharacteristic
1257C2×C22⋊C4C22×D5911yescharacteristic
1258C2×C42—591no—
1259C2×C42—591no—
1260C2×C42—591no—
1261C2×C42—591no—
1262C2×C42—591no—
1263C2×C42—591no—
1264C2×C42—591no—
1265C2×C42—591no—
1266C2×C42—591no—
1267C2×C42—1184no—
1268C2×C42—1184no—
1269C2×C42—2362no—
1270C2×C42C22×D5911yescharacteristic
1271C2×C42C22×D5911yescharacteristic
1272C2×C42C22×D5911yescharacteristic
1273#95—591no—
1274#95—591no—
1275#95—591no—
1276#95—591no—
1277#95—591no—
1278#95—591no—
1279#95—591no—
1280#95—591no—
1281#95—591no—
1282#95—591no—
1283#95—591no—
1284#95—591no—
1285#95—591no—
1286#95—591no—
1287#95—591no—
1288#95—591no—
1289#95—591no—
1290#95—591no—
1291#95—591no—
1292#95—591no—
1293#95—591no—
1294#95—591no—
1295#95—591no—
1296#95—591no—
1297#95—591no—
1298#95—591no—
1299#95—591no—
1300#95—591no—
1301#95—591no—
1302#95—591no—
1303#95C22×D5911yescharacteristic
1304#95C22×D5911yescharacteristic
1305#95C22×D5911yescharacteristic
1306#95C22×D5911yescharacteristic
1307#95C22×D5911yescharacteristic
1308#95C22×D5911yescharacteristic
1309#95C22×D5911yescharacteristic
1310#95C22×D5911yescharacteristic
1311#95C22×D5911yescharacteristic
1312#95C22×D5911yescharacteristic
1313C24—591no—
1314C24—594no—
1315C24—594no—
1316C24—591no—
1317C24—591no—
1318C24—591no—
1319C24—1182no—
1320C24—1182no—
1321C24—1182no—
1322C24—1182no—
1323C24—1182no—
1324C24—1182no—
1325C24—1182no—
1326C24—1182no—
1327C24—1182no—
1328C24—1182no—
1329C24—1182no—
1330C24—1182no—
1331C24—1182no—
1332C24—1182no—
1333C24—1182no—
1334C24—1182no—
1335C24—1182no—
1336C24—1182no—
1337C24—1182no—
1338C24C23×D5911yescharacteristic
1339C24C23×D5911yescharacteristic
1340C24C23×D5911yescharacteristic
1341C2×Q8—22no—
1342C2×Q8—22no—
1343C2×Q8—41no—
1344C2×Q8—1182no—
1345C2×Q8—1182no—
1346C2×Q8—1182no—
1347C2×Q8—1182no—
1348C2×Q8—1182no—
1349C2×Q8—1182no—
1350C2×Q8—2361no—
1351C2×Q8—2361no—
1352C2×Q8—2361no—
1353C2×Q8—23616no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—1182no—
1364C2×D4—1182no—
1365C2×D4—1182no—
1366C2×D4—1182no—
1367C2×D4—1182no—
1368C2×D4—1182no—
1369C2×D4—1182no—
1370C2×D4—1182no—
1371C2×D4—11832no—
1372C2×D4—1182no—
1373C2×D4—1182no—
1374C2×D4—1182no—
1375C2×D4—1182no—
1376C2×D4—1182no—
1377C2×D4—1182no—
1378C2×D4—1182no—
1379C2×D4—1182no—
1380C2×D4—1182no—
1381C2×D4—1182no—
1382C2×D4—2361no—
1383C2×D4—2361no—
1384C2×D4—2361no—
1385C2×D4—23616no—
1386C2×D4—2361no—
1387C2×D4—2361no—
1388C2×D4—2361no—
1389C2×D4—2361no—
1390C2×D4—2361no—
1391C2×D4—2361no—
1392C2×D4—23616no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—591no—
1400C22×C4—591no—
1401C22×C4—591no—
1402C22×C4—591no—
1403C22×C4—591no—
1404C22×C4—594no—
1405C22×C4—594no—
1406C22×C4—594no—
1407C22×C4—594no—
1408C22×C4—594no—
1409C22×C4—591no—
1410C22×C4—591no—
1411C22×C4—591no—
1412C22×C4—591no—
1413C22×C4—591no—
1414C22×C4—591no—
1415C22×C4—591no—
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—1182no—
1433C22×C4—1182no—
1434C22×C4—1182no—
1435C22×C4—1182no—
1436C22×C4—1182no—
1437C22×C4—1182no—
1438C22×C4—1182no—
1439C22×C4—1182no—
1440C22×C4—1182no—
1441C22×C4—1182no—
1442C22×C4—1182no—
1443C22×C4—1182no—
1444C22×C4—1182no—
1445C22×C4—1182no—
1446C22×C4—1182no—
1447C22×C4—1182no—
1448C22×C4—1182no—
1449C22×C4—1182no—
1450C22×C4—1182no—
1451C22×C4—1182no—
1452C22×C4—1182no—
1453C22×C4—1182no—
1454C22×C4—1182no—
1455C22×C4—1182no—
1456C22×C4—1182no—
1457C22×C4—1182no—
1458C22×C4—1182no—
1459C22×C4—2361no—
1460C22×C4—2361no—
1461C22×C4—2361no—
1462C22×C4—2361no—
1463C22×C4—23616no—
1464C22×C4—23616no—
1465C22×C4—2361no—
1466C22×C4—2361no—
1467C22×C4C23×D5911yescharacteristic
1468C22×C4C23×D5911yescharacteristic
1469C22×C4C23×D5911yescharacteristic
1470C22×C4C23×D5911yescharacteristic
1471C22×C4C23×D5911yescharacteristic
1472C22×C4C23×D5911yescharacteristic
1473C22×C4C23×D5911yescharacteristic
1474C22×C4C23×D5911yescharacteristic
1475C22×C4C23×D5911yescharacteristic
1476C22×C4C23×D5911yescharacteristic
1477C22×C4C23×D5911yescharacteristic
1478C22×C4C23×D5911yescharacteristic
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—41no—
1482C4⋊C4—1182no—
1483C4⋊C4—1182no—
1484C4⋊C4—1182no—
1485C4⋊C4—1182no—
1486C4⋊C4—1182no—
1487C4⋊C4—1182no—
1488C4⋊C4—2361no—
1489C4⋊C4—2361no—
1490C4⋊C4—2361no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—594no—
1504C22⋊C4—594no—
1505C22⋊C4—594no—
1506C22⋊C4—1182no—
1507C22⋊C4—1182no—
1508C22⋊C4—1182no—
1509C22⋊C4—1182no—
1510C22⋊C4—1182no—
1511C22⋊C4—1182no—
1512C22⋊C4—1182no—
1513C22⋊C4—1182no—
1514C22⋊C4—1182no—
1515C22⋊C4—1182no—
1516C22⋊C4—1182no—
1517C22⋊C4—1182no—
1518C22⋊C4—1182no—
1519C22⋊C4—1182no—
1520C22⋊C4—1182no—
1521C22⋊C4—1182no—
1522C22⋊C4—1182no—
1523C22⋊C4—1182no—
1524C22⋊C4—1182no—
1525C22⋊C4—1182no—
1526C22⋊C4—1182no—
1527C22⋊C4—1182no—
1528C22⋊C4—1182no—
1529C22⋊C4—1182no—
1530C22⋊C4—2361no—
1531C22⋊C4—2361no—
1532C22⋊C4—2361no—
1533C22⋊C4—2361no—
1534C22⋊C4—2361no—
1535C22⋊C4—2361no—
1536C22⋊C4—2361no—
1537C22⋊C4—2361no—
1538C22⋊C4—2361no—
1539C22⋊C4—2361no—
1540C22⋊C4—2361no—
1541C22⋊C4—2361no—
1542C22⋊C4D4×D5914yescomplemented
1543C42—22no—
1544C42—22no—
1545C42—41no—
1546C42—1182no—
1547C42—1182no—
1548C42—1182no—
1549C42—1182no—
1550C42—1182no—
1551C42—1182no—
1552C42—2361no—
1553C42—2361no—
1554C42—2361no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—592no—
1575C23—592no—
1576C23—592no—
1577C23—592no—
1578C23—592no—
1579C23—592no—
1580C23—592no—
1581C23—592no—
1582C23—592no—
1583C23—1188no—
1584C23—1188no—
1585C23—1188no—
1586C23—1188no—
1587C23—1188no—
1588C23—1188no—
1589C23—1181no—
1590C23—1181no—
1591C23—1181no—
1592C23—1181no—
1593C23—1181no—
1594C23—1181no—
1595C23—1181no—
1596C23—1181no—
1597C23—1181no—
1598C23—1181no—
1599C23—1181no—
1600C23—1181no—
1601C23—1181no—
1602C23—1181no—
1603C23—1181no—
1604C23—1181no—
1605C23—1181no—
1606C23—1181no—
1607C23—1181no—
1608C23—2364no—
1609C23—2364no—
1610C23—2364no—
1611C23—2364no—
1612C23—2364no—
1613C23—2364no—
1614C23—2364no—
1615C23—2364no—
1616C23—2364no—
1617C23—2364no—
1618C23—2364no—
1619C23—2364no—
1620C23—2364no—
1621C23—2364no—
1622C23—2364no—
1623C23C2×D4×D5912yes—
1624C23#41×D5912yes—
1625C23C24×D5911yescharacteristic
1626Q8—44no—
1627Q8—2364no—
1628Q8—2364no—
1629Q8—2364no—
1630D4—28no—
1631D4—44no—
1632D4—44no—
1633D4—1188no—
1634D4—1188no—
1635D4—1188no—
1636D4—2364no—
1637D4—2364no—
1638D4—2364no—
1639D4—2364no—
1640D4—2364no—
1641D4—2364no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—592no—
1676C2×C4—592no—
1677C2×C4—592no—
1678C2×C4—592no—
1679C2×C4—592no—
1680C2×C4—1188no—
1681C2×C4—1188no—
1682C2×C4—1188no—
1683C2×C4—1188no—
1684C2×C4—1188no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—1181no—
1697C2×C4—1181no—
1698C2×C4—1181no—
1699C2×C4—1181no—
1700C2×C4—1181no—
1701C2×C4—1181no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—1181no—
1706C2×C4—1181no—
1707C2×C4—1181no—
1708C2×C4—1181no—
1709C2×C4—1181no—
1710C2×C4—1181no—
1711C2×C4—1181no—
1712C2×C4—1181no—
1713C2×C4—1181no—
1714C2×C4—1181no—
1715C2×C4—1181no—
1716C2×C4—2364no—
1717C2×C4—2364no—
1718C2×C4—2364no—
1719C2×C4—2364no—
1720C2×C4—2364no—
1721C2×C4—2364no—
1722C2×C4—2364no—
1723C2×C4—2364no—
1724C2×C4—2364no—
1725C2×C4—2364no—
1726C2×C4—2364no—
1727C2×C4—2364no—
1728C2×C4—2364no—
1729C2×C4C2×D4×D5912yes—
1730C2×C4C2×D4×D5912yes—
1731C2×C4#41×D5912yes—
1732C2×C4#41×D5912yes—
1733C2×C4#41×D5912yes—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—594no—
1756C22—594no—
1757C22—594no—
1758C22—594no—
1759C22—594no—
1760C22—594no—
1761C22—594no—
1762C22—1182no—
1763C22—1182no—
1764C22—1182no—
1765C22—1182no—
1766C22—1182no—
1767C22—1182no—
1768C22—4728no—
1769C22—23616no—
1770C22—23616no—
1771C22—2361no—
1772C22—2361no—
1773C22—2361no—
1774C22—2361no—
1775C22—2361no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22—2361no—
1786C22C22×D4×D5911yescharacteristic
1787C22C2×#41×D5911yescharacteristic
1788C22C2×#41×D5911yescharacteristic
1789C22C2×#41×D5911yescharacteristic
1790C22C2×#41×D5911yescharacteristic
1791C22H(5,𝔽2)×D5911yescharacteristic
1792C22H(5,𝔽2)×D5911yescharacteristic
1793C4—22no—
1794C4—22no—
1795C4—22no—
1796C4—22no—
1797C4—22no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—1182no—
1806C4—1182no—
1807C4—1182no—
1808C4—1182no—
1809C4—1182no—
1810C4—2361no—
1811C4—2361no—
1812C4—2361no—
1813C4—2361no—
1814C4—2361no—
1815C4—2361no—
1816C4—2361no—
1817C2—42no—
1818C2—42no—
1819C2—81no—
1820C2—598no—
1821C2—4721no—
1822C2—2362no—
1823C2—2362no—
1824C2#525×D5911yescharacteristic
1825C2#529×D5911yescharacteristic
1826C2#538×D5911yescharacteristic
1827C2#546×D5911yescharacteristic
1828C2#546×D5911yescharacteristic
1829C2#555×D5911yescharacteristic
1830C2#559×D5911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2459C2
prime radical#392×D59C2
hypercenter#2459D59
hypocenterC59C2×#2459
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2459

Complements

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

NH ≅ G/Ntype
1. C2×#124×D59C2semidirect
2. C2×C4×D4×D59C2semidirect
3. #21428040C2semidirect
4. #21428039C2semidirect
5. #21428038C2semidirect
6. #21428037C2semidirect
7. #21428036C2semidirect
8. #21428035C2semidirect
9. #21428034C2semidirect
10. #21428033C2semidirect
11. #21428032C2semidirect
12. #21428031C2semidirect
13. #21428030C2semidirect
14. #21428029C2semidirect
15. #21428028C2semidirect
16. #21428027C2semidirect
17. #21428026C2semidirect
18. #394×D59C2semidirect
19. #394×D59C2semidirect
20. #393×D59C2semidirect
22. #391×D59C2semidirect
23. #388×D59C2semidirect
24. #388×D59C2semidirect
25. #388×D59C2semidirect
26. #387×D59C2semidirect
27. #386×D59C2semidirect
28. #386×D59C2semidirect
29. #381×D59C2semidirect
30. C4×C22⋊C4×D59C2semidirect
31. C59×#2459C2semidirect
38. C2×#14273716C22semidirect
39. C2×#14273715C22semidirect
40. C2×#14273714C22semidirect
41. C2×#14273713C22semidirect
42. C2×#14273713C22semidirect
43. C2×#14273713C22semidirect
44. C2×#14273713C22semidirect
46. C2×C4×D236C22semidirect
47. C2×D4×Dic59C22semidirect
48. C2×#14273689C22semidirect
49. C2×C4×C22⋊D59C22semidirect
50. C2×C4×C22⋊D59C22semidirect
51. C2×(C22⋊D59)⋊C4C22semidirect
52. C2×(C22⋊D59)⋊C4C22semidirect
73. #16837320C22semidirect
74. #16837320C22semidirect
75. #16837319C22semidirect
76. #16837319C22semidirect
77. #16837318C22semidirect
78. #16837318C22semidirect
79. #16837318C22semidirect
80. #16837318C22semidirect
81. #16837317C22semidirect
82. #16837317C22semidirect
83. #16837317C22semidirect
84. #16837317C22semidirect
85. #16837316C22semidirect
86. #16837316C22semidirect
87. #16837315C22semidirect
88. #16837315C22semidirect
89. #16837315C22semidirect
90. #16837314C22semidirect
91. #16837314C22semidirect
92. #16837314C22semidirect
93. #16837313C22semidirect
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
136. #16837282C22semidirect
137. #16837282C22semidirect
138. #16837281C22semidirect
139. #16837281C22semidirect
140. #16837280C22semidirect
141. #16837280C22semidirect
142. #16837280C22semidirect
143. #16837280C22semidirect
144. #16837279C22semidirect
145. #16837279C22semidirect
146. #16837278C22semidirect
147. #16837278C22semidirect
148. #16837278C22semidirect
149. #16837278C22semidirect
150. #16837265C22semidirect
151. #16837264C22semidirect
152. #16837264C22semidirect
153. #16837264C22semidirect
154. #16837264C22semidirect
155. #16837263C22semidirect
156. #16837263C22semidirect
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×#124×C59C22semidirect
175. C2×C4×D4×C59C22semidirect
176. C59×#394C22semidirect
177. C59×#394C22semidirect
178. C59×#393C22semidirect
180. C59×#391C22semidirect
181. C59×#388C22semidirect
182. C59×#388C22semidirect
183. C59×#388C22semidirect
184. C59×#387C22semidirect
185. C59×#386C22semidirect
186. C59×#386C22semidirect
187. C59×#381C22semidirect
188. C4×C22⋊C4×C59C22semidirect
317. C22⋊C4×D59D4semidirect
578. C22⋊C4×C59C2×D4semidirect
594. C22⋊Dic59C2×D4semidirect
619. (C2×D59)⋊C4C2×D4semidirect
620. (C2×D59)⋊C4C2×D4semidirect
919. #2459D59direct (N × H)
946. D59#2459direct (N × H)
961. C2×#124C2×D59semidirect
970. C2×C4×D4C2×D59semidirect
1004. #394C2×D59semidirect
1005. #394C2×D59semidirect
1013. #393C2×D59semidirect
1029. #391C2×D59semidirect
1051. #388C2×D59semidirect
1052. #388C2×D59semidirect
1053. #388C2×D59semidirect
1061. #387C2×D59semidirect
1076. #386C2×D59semidirect
1077. #386C2×D59semidirect
1085. #381C2×D59semidirect
1093. C4×C22⋊C4C2×D59semidirect
1104. C59C2×#2459semidirect
1542. C22⋊C4D4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#124×D592
C2×C4×D4×D592
#214280402
#214280392
#214280382
#214280372
#214280362
#214280352
#214280342
#214280332
#214280322
#214280312
#214280302
#214280292
#214280282
#214280272
#214280262
#394×D592
#393×D592
#392×D592
#391×D592
#388×D592
#387×D592
#386×D592
#381×D592
C4×C22⋊C4×D592
C59×#24592
C2×#245959