Finite Group Databasebeta

← D59×#2488 #28757615

Subgroups — D59×#2488 #28757615

Order 15104.

3114 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D59C211yesmaximal, characteristic
2C2×C22⋊Q8×D59C211yesmaximal, characteristic, complemented
3#21428429C211yesmaximal, characteristic, complemented
4#21428428C211yesmaximal, characteristic, complemented
5#21428427C211yesmaximal, characteristic, complemented
6#21428426C211yesmaximal, characteristic, complemented
7#21428425C211yesmaximal, characteristic, complemented
8#21428424C211yesmaximal, characteristic, complemented
9#21428423C211yesmaximal, characteristic, complemented
10#21428422C211yesmaximal, characteristic, complemented
11#21428421C211yesmaximal, characteristic, complemented
12#21428420C211yesmaximal, characteristic, complemented
13#21428419C211yesmaximal, characteristic, complemented
14#21428418C211yesmaximal, characteristic, complemented
15#21428417C211yesmaximal, characteristic, complemented
16#21428416C211yesmaximal, characteristic, complemented
17#21428415C211yesmaximal, characteristic, complemented
18#400×D59C211yesmaximal, characteristic, complemented
19#400×D59C211yesmaximal, characteristic, complemented
20#397×D59C211yesmaximal, characteristic, complemented
21#393×D59C211yesmaximal, characteristic, complemented
22#391×D59C211yesmaximal, characteristic, complemented
23#388×D59C211yesmaximal, characteristic, complemented
24#388×D59C211yesmaximal, characteristic, complemented
25#386×D59C211yesmaximal, characteristic
26#386×D59C211yesmaximal, characteristic
27#382×D59C211yesmaximal, characteristic, complemented
28#381×D59C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
30C2×#95×D59C211yesmaximal, characteristic, complemented
31C59×#2488C211yesmaximal, characteristic, complemented
32C22×Q8×D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35C23×C4×D59C2211yescharacteristic
36C23×C4×D59C2211yescharacteristic
37C2×#14273712C2211yescharacteristic
38C2×#14273712C2211yescharacteristic
39C2×#14273711C2211yescharacteristic
40C2×#14273710C2211yescharacteristic
41C2×#14273709C2211yescharacteristic
42C2×#14273709C2211yescharacteristic
43C2×#14273708C2211yescharacteristic
44#123×D59—28no—
45C2×#14273707C2211yescharacteristic, complemented
46C2×#14273706C2211yescharacteristic, complemented
47C2×#14273705C2211yescharacteristic, complemented
48C2×#14273705C2211yescharacteristic, complemented
49C2×#14273704C2211yescharacteristic, complemented
50C2×#14273704C2211yescharacteristic, complemented
51C2×#14273703C2211yescharacteristic, complemented
52C22⋊Q8×D59—28no—
53C2×C4⋊C4×D59C2211yescharacteristic
54C2×C4⋊C4×D59C2211yescharacteristic
55C2×C4⋊C4×D59C2211yescharacteristic
56C2×C4⋊C4×D59C2211yescharacteristic
57C2×C4⋊C4×D59C2211yescharacteristic
58C2×C22⋊C4×D59C2211yescharacteristic
59C2×C22⋊C4×D59C2211yescharacteristic
60C2×C22⋊C4×D59C2211yescharacteristic
61C2×C22⋊C4×D59C2211yescharacteristic
62C2×C22⋊C4×D59C2211yescharacteristic
63C2×C22⋊C4×D59C2211yescharacteristic
64C2×C22⋊C4×D59C2211yescharacteristic
65C2×C22⋊C4×D59C2211yescharacteristic
66C2×C22⋊C4×D59C2211yescharacteristic
67C2×C42×D59C2211yescharacteristic
68C2×C42×D59C2211yescharacteristic
69#16837344C2211yescharacteristic, complemented
70#16837344C2211yescharacteristic, complemented
71#16837344C2211yescharacteristic, complemented
72#16837344C2211yescharacteristic, complemented
73#16837343C2211yescharacteristic, complemented
74#16837343C2211yescharacteristic, complemented
75#16837343C2211yescharacteristic, complemented
76#16837343C2211yescharacteristic, complemented
77#16837342C2211yescharacteristic, complemented
78#16837342C2211yescharacteristic, complemented
79#16837341C2211yescharacteristic, complemented
80#16837341C2211yescharacteristic, complemented
81#16837340C2211yescharacteristic, complemented
82#16837340C2211yescharacteristic, complemented
83#16837331C2211yescharacteristic, complemented
84#16837331C2211yescharacteristic, complemented
85#16837330C2211yescharacteristic, complemented
86#16837330C2211yescharacteristic, complemented
87#16837329C2211yescharacteristic, complemented
88#16837328C2211yescharacteristic, complemented
89#16837327C2211yescharacteristic, complemented
90#16837315C2211yescharacteristic, complemented
91#16837315C2211yescharacteristic, complemented
92#16837315C2211yescharacteristic, complemented
93#16837314C2211yescharacteristic, complemented
94#16837314C2211yescharacteristic, complemented
95#16837314C2211yescharacteristic, complemented
96#16837313C2211yescharacteristic, complemented
97#16837309C2211yescharacteristic, complemented
98#16837308C2211yescharacteristic, complemented
99#16837307C2211yescharacteristic, complemented
100#16837306C2211yescharacteristic, complemented
101#16837306C2211yescharacteristic, complemented
102#16837306C2211yescharacteristic, complemented
103#16837306C2211yescharacteristic, complemented
104#16837296C2211yescharacteristic, complemented
105#16837296C2211yescharacteristic, complemented
106#16837295C2211yescharacteristic, complemented
107#16837295C2211yescharacteristic, complemented
108#16837294C2211yescharacteristic, complemented
109#16837294C2211yescharacteristic, complemented
110#16837293C2211yescharacteristic, complemented
111#16837293C2211yescharacteristic, complemented
112#16837292C2211yescharacteristic, complemented
113#16837292C2211yescharacteristic, complemented
114#16837291C2211yescharacteristic, complemented
115#16837291C2211yescharacteristic, complemented
116#16837290C2211yescharacteristic, complemented
117#16837290C2211yescharacteristic, complemented
118#16837282C2211yescharacteristic
119#16837282C2211yescharacteristic
120#16837281C2211yescharacteristic
121#16837281C2211yescharacteristic
122#16837280C2211yescharacteristic
123#16837280C2211yescharacteristic
124#16837280C2211yescharacteristic
125#16837280C2211yescharacteristic
126#16837279C2211yescharacteristic
127#16837279C2211yescharacteristic
128#16837278C2211yescharacteristic
129#16837278C2211yescharacteristic
130#16837278C2211yescharacteristic
131#16837278C2211yescharacteristic
132#16837268C2211yescharacteristic, complemented
133#16837267C2211yescharacteristic, complemented
134#16837267C2211yescharacteristic, complemented
135#16837266C2211yescharacteristic, complemented
136#16837266C2211yescharacteristic, complemented
137#16837266C2211yescharacteristic, complemented
138#16837266C2211yescharacteristic, complemented
139#16837265C2211yescharacteristic, complemented
140#16837264C2211yescharacteristic, complemented
141#16837264C2211yescharacteristic, complemented
142#16837264C2211yescharacteristic, complemented
143#16837264C2211yescharacteristic, complemented
144#16837263C2211yescharacteristic, complemented
145#16837263C2211yescharacteristic, complemented
146C22⋊C4×Dic59C2211yescharacteristic, complemented
147C22⋊C4×Dic59C2211yescharacteristic, complemented
148C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
149C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
150C4×C22⋊Dic59C2211yescharacteristic, complemented
151#16837249C2211yescharacteristic, complemented
152#16837249C2211yescharacteristic, complemented
153C2×C59⋊#95C2211yescharacteristic, complemented
154C2×C59⋊#95C2211yescharacteristic, complemented
155C2×C59⋊#95C2211yescharacteristic, complemented
156#95×D59C2211yescharacteristic
157#95×D59C2211yescharacteristic
158#95×D59C2211yescharacteristic
159#95×D59C2211yescharacteristic
160#95×D59C2211yescharacteristic
161#95×D59C2211yescharacteristic
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, complemented
171#95×D59C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic, complemented
173#95×D59C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic
175C2×C22⋊Q8×C59C2211yescharacteristic, complemented
176C59×#400C2211yescharacteristic, complemented
177C59×#400C2211yescharacteristic, complemented
178C59×#397C2211yescharacteristic, complemented
179C59×#393C2211yescharacteristic, complemented
180C59×#391C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic
184C59×#386C2211yescharacteristic
185C59×#382C2211yescharacteristic, complemented
186C59×#381C2211yescharacteristic, complemented
187C4×C22⋊C4×C59C2211yescharacteristic, complemented
188C2×#95×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×Dic118C2311yescharacteristic
193C22×Dic118C2311yescharacteristic
194C2×Q8×D59—24no—
195C2×Q8×D59—24no—
196C2×Q8×D59—42no—
197C22×D236C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C2×D4×D59—24no—
201C2×D4×D59—24no—
202C2×D4×D59—24no—
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C22×C4×D59—24no—
207C22×C4×D59—24no—
208C22×C4×D59—24no—
209C22×C4×D59—24no—
210C22×C4×D59—24no—
211C22×C4×D59—24no—
212C22×C4×D59—24no—
213C22×C4×D59—42no—
214C22×C4×D59—42no—
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
228C22×C4×D59C2311yescharacteristic
229C22×C4×D59C2311yescharacteristic
230C22×C4×D59C2311yescharacteristic
231C22×C4×D59C2311yescharacteristic
232C22×C4×D59C2311yescharacteristic
233C22×C4×D59C2311yescharacteristic
234#14273712—24no—
235#14273712—24no—
236#14273711—24no—
237#14273710—24no—
238#14273709—24no—
239#14273709—24no—
240#14273708—24no—
241#14273707—24no—
242#14273706—24no—
243#14273705—24no—
244#14273705—24no—
245#14273704—24no—
246#14273704—24no—
247#14273703—24no—
248C2×C4⋊Dic59C2311yescharacteristic
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
252C2×C4⋊Dic59C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C4⋊C4×D59—24no—
264C4⋊C4×D59—24no—
265C4⋊C4×D59—24no—
266C4⋊C4×D59—24no—
267C4⋊C4×D59—24no—
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×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C22⋊C4×D59—24no—
296C22⋊C4×D59—24no—
297C22⋊C4×D59—24no—
298C22⋊C4×D59—24no—
299C22⋊C4×D59—24no—
300C22⋊C4×D59—24no—
301C22⋊C4×D59—42no—
302C22⋊C4×D59—42no—
303C22⋊C4×D59D418yes—
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C42×D59—24no—
311C42×D59—42no—
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C22×Q8×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358C23×C4×C59C2311yescharacteristic
359#123×C59—24no—
360C22⋊Q8×C59—24no—
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C42×C59C2311yescharacteristic
376C2×C42×C59C2311yescharacteristic
377#95×C59C2311yescharacteristic
378#95×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×D59C2×D414yes—
405C23×D59#4114yes—
406C23×D59#4114yes—
407C23×D59C2411yescharacteristic
408C23×D59C2411yescharacteristic
409C23×D59C2411yescharacteristic
410C2×Q8×C59—22no—
411C2×Q8×C59—22no—
412C2×Q8×C59—41no—
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C2×D4×C59—22no—
416C22×C4×C59—22no—
417C22×C4×C59—22no—
418C22×C4×C59—22no—
419C22×C4×C59—22no—
420C22×C4×C59—22no—
421C22×C4×C59—22no—
422C22×C4×C59—22no—
423C22×C4×C59—41no—
424C22×C4×C59—41no—
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
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C2×C22⋊D59—22no—
439C2×C22⋊D59—22no—
440C2×C22⋊D59—22no—
441C2×C22⋊D59—22no—
442C2×C22⋊D59—22no—
443C2×C22⋊D59—22no—
444C22×Dic59—22no—
445C22×Dic59—22no—
446C22×Dic59—22no—
447C22×Dic59—22no—
448C22×Dic59—22no—
449C22×Dic59—22no—
450C22×Dic59—22no—
451C22×Dic59—41no—
452C22×Dic59—41no—
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466Q8×D59—416no—
467D4×D59—416no—
468C2×D236—22no—
469C2×D236—22no—
470C2×D236—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—22no—
518C2×C4×D59—22no—
519C2×C4×D59—22no—
520C2×C4×D59—416no—
521C2×C4×D59—416no—
522C2×C4×D59—41no—
523C2×C4×D59—41no—
524C2×C4×D59—41no—
525C2×C4×D59—41no—
526C2×C4×D59—416no—
527C2×C4×D59C2×D414yes—
528C2×C4×D59C2×D414yes—
529C2×C4×D59#4114yes—
530C2×C4×D59#4114yes—
531C2×Dic118—22no—
532C2×Dic118—22no—
533C2×Dic118—22no—
534C2×Dic118—22no—
535C2×Dic118—22no—
536C2×Dic118—22no—
537C2×Dic118—41no—
538C2×Dic118—41no—
539C2×Dic118—41no—
540C4⋊C4×C59—22no—
541C4⋊C4×C59—22no—
542C4⋊C4×C59—22no—
543C4⋊C4×C59—22no—
544C4⋊C4×C59—22no—
545C22⋊C4×C59—22no—
546C22⋊C4×C59—22no—
547C22⋊C4×C59—22no—
548C22⋊C4×C59—22no—
549C22⋊C4×C59—22no—
550C22⋊C4×C59—22no—
551C22⋊C4×C59—41no—
552C22⋊C4×C59—41no—
553C22⋊C4×C59C2×D414yes—
554C42×C59—22no—
555C42×C59—41no—
556C22⋊Dic59—22no—
557C22⋊Dic59—22no—
558C22⋊Dic59—22no—
559C22⋊Dic59—22no—
560C22⋊Dic59—22no—
561C22⋊Dic59—22no—
562C22⋊Dic59—41no—
563C22⋊Dic59—41no—
564C22⋊Dic59C2×D414yes—
565(C2×D59)⋊C4—22no—
566(C2×D59)⋊C4—22no—
567(C2×D59)⋊C4—22no—
568(C2×D59)⋊C4—22no—
569(C2×D59)⋊C4—22no—
570(C2×D59)⋊C4—22no—
571(C2×D59)⋊C4—22no—
572(C2×D59)⋊C4—22no—
573(C2×D59)⋊C4—22no—
574(C2×D59)⋊C4—22no—
575(C2×D59)⋊C4—22no—
576(C2×D59)⋊C4—22no—
577(C2×D59)⋊C4—41no—
578(C2×D59)⋊C4—41no—
579(C2×D59)⋊C4—41no—
580(C2×D59)⋊C4—41no—
581(C2×D59)⋊C4C2×D414yes—
582(C2×D59)⋊C4C2×D414yes—
583C4⋊Dic59—22no—
584C4⋊Dic59—22no—
585C4⋊Dic59—22no—
586C4⋊Dic59—22no—
587C4⋊Dic59—22no—
588Dic59⋊C4—22no—
589Dic59⋊C4—22no—
590Dic59⋊C4—22no—
591Dic59⋊C4—22no—
592Dic59⋊C4—22no—
593Dic59⋊C4—22no—
594Dic59⋊C4—22no—
595Dic59⋊C4—22no—
596Dic59⋊C4—22no—
597Dic59⋊C4—22no—
598C4×Dic59—22no—
599C4×Dic59—22no—
600C4×Dic59—22no—
601C4×Dic59—41no—
602C4×Dic59—41no—
603C4×Dic59—41no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59C22×D412yes—
616C23×C59C2×#4112yes—
617C23×C59C2×#4112yes—
618C23×C59C2511yescharacteristic
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—28no—
624C22×D59—28no—
625C22×D59—28no—
626C22×D59—28no—
627C22×D59—28no—
628C22×D59—28no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—44no—
637C22×D59—44no—
638C22×D59—44no—
639C22×D59—44no—
640C22×D59—44no—
641C22×D59—44no—
642C22×D59—44no—
643C22×D59#124116yes—
644C22×D59C22×D412yes—
645C22×D59C22×D412yes—
646C22×D59C2×#4112yes—
647C22×D59C2×#4112yes—
648C22×D59C2×#4112yes—
649C22×D59C2×#4112yes—
650C22×D59C2×#4112yes—
651C22×D59C2×#4112yes—
652C22×D59H(5,𝔽2)12yes—
653C22×D592−1+412yes—
654Q8×C59—44no—
655D4×C59—44no—
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—21no—
691C2×C4×C59—44no—
692C2×C4×C59—44no—
693C2×C4×C59—44no—
694C2×C4×C59C22×D412yes—
695C2×C4×C59C22×D412yes—
696C2×C4×C59C2×#4112yes—
697C2×C4×C59C2×#4112yes—
698C22⋊D59—44no—
699C22⋊D59—44no—
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—21no—
735C2×Dic59—44no—
736C2×Dic59—44no—
737C2×Dic59—44no—
738C2×Dic59C22×D412yes—
739C2×Dic59C22×D412yes—
740C2×Dic59C2×#4112yes—
741C2×Dic59C2×#4112yes—
742D236—44no—
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—
760C4×D59—44no—
761C4×D59—44no—
762Dic118—44no—
763Dic118—44no—
764Dic118—44no—
765C2×#2488—591nomaximal, Sylow
766C22×C59—22no—
767C22×C59—22no—
768C22×C59—22no—
769C22×C59—22no—
770C22×C59—22no—
771C22×C59—22no—
772C22×C59—41no—
773C22×C59—41no—
774C22×C59—41no—
775C22×C59—41no—
776C22×C59—41no—
777C22×C59—41no—
778C22×C59—41no—
779C22×C59C2×#12414yes—
780C22×C59C23×D411yescharacteristic
781C22×C59C22×#4111yescharacteristic
782C22×C59C22×#4111yescharacteristic
783C22×C59C22×#4111yescharacteristic
784C22×C59C22×#4111yescharacteristic
785C22×C59C2×H(5,𝔽2)11yescharacteristic
786C22×C59C2×2−1+411yescharacteristic
787C2×D59—22no—
788C2×D59—22no—
789C2×D59—22no—
790C2×D59—22no—
791C2×D59—22no—
792C2×D59—22no—
793C2×D59—232no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—41no—
798C2×D59—41no—
799C2×D59—41no—
800C2×D59—41no—
801C2×D59—88no—
802C2×D59C2×#12414yes—
803C2×D59C2×#12414yes—
804C2×D59#52914yes—
805C2×D59#53914yes—
806C2×D59#54614yes—
807C2×D59#54714yes—
808C2×D59#55114yes—
809C2×D59#55214yes—
810C4×C59—22no—
811C4×C59—22no—
812C4×C59—22no—
813C4×C59—22no—
814C4×C59—41no—
815C4×C59—41no—
816C4×C59—41no—
817C4×C59—41no—
818C4×C59—41no—
819C4×C59—41no—
820C4×C59—41no—
821C4×C59—41no—
822C4×C59—41no—
823Dic59—22no—
824Dic59—22no—
825Dic59—22no—
826Dic59—22no—
827Dic59—41no—
828Dic59—41no—
829Dic59—41no—
830Dic59—41no—
831Dic59—41no—
832Dic59—41no—
833Dic59—41no—
834Dic59—41no—
835Dic59—41no—
836C22×#123—591no—
837C22×C22⋊Q8—591no—
838#2488—591no—
839#2488—591no—
840#2488—591no—
841#2488—591no—
842#2488—591no—
843#2488—591no—
844#2488—591no—
845#2488—591no—
846#2488—591no—
847#2488—591no—
848#2488—591no—
849#2488—591no—
850#2488—591no—
851#2488—591no—
852#2488—591no—
853#2488D5911yescharacteristic, direct product factor
854C2×#400—591no—
855C2×#400—591no—
856C2×#397—591no—
857C2×#393—591no—
858C2×#391—591no—
859C2×#388—591no—
860C2×#388—591no—
861C2×#386—591no—
862C2×#386—591no—
863C2×#382—591no—
864C2×#381—591no—
865C2×C4×C22⋊C4—591no—
866C22×#95—591no—
867C2×C59—24no—
868C2×C59—81no—
869C2×C59C22×#12411yescharacteristic
870C2×C59C2×#52911yescharacteristic
871C2×C59C2×#53911yescharacteristic
872C2×C59C2×#54611yescharacteristic
873C2×C59C2×#54711yescharacteristic
874C2×C59C2×#55111yescharacteristic
875C2×C59C2×#55211yescharacteristic
876D59—24no—
877D59—81no—
878D59#248818yesdirect product factor
879C23×Q8—591no—
880C23×D4—591no—
881C24×C4—591no—
882C24×C4—591no—
883C24×C4—591no—
884C2×#123—591no—
885C2×#123—591no—
886C2×#123—591no—
887C2×#123—591no—
888C2×#123—591no—
889C2×#123—591no—
890C2×#123—591no—
891C2×#123—1188no—
892C2×#123C2×D5911yescharacteristic
893C2×C22⋊Q8—591no—
894C2×C22⋊Q8—591no—
895C2×C22⋊Q8—591no—
896C2×C22⋊Q8—591no—
897C2×C22⋊Q8—591no—
898C2×C22⋊Q8—591no—
899C2×C22⋊Q8—591no—
900C2×C22⋊Q8—1188no—
901C2×C22⋊Q8C2×D5911yescharacteristic, complemented
902C22×C4⋊C4—591no—
903C22×C4⋊C4—591no—
904C22×C4⋊C4—591no—
905C22×C4⋊C4—591no—
906C22×C4⋊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×C22⋊C4—591no—
914C22×C22⋊C4—591no—
915C22×C22⋊C4—591no—
916C22×C42—591no—
917C22×C42—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#400—591no—
930#400—591no—
931#400—591no—
932#400C2×D5911yescharacteristic, complemented
933#400C2×D5911yescharacteristic, complemented
934#397—591no—
935#397—591no—
936#397—591no—
937#397—591no—
938#397—591no—
939#397—591no—
940#397—591no—
941#397C2×D5911yescharacteristic, complemented
942#393—591no—
943#393—591no—
944#393—591no—
945#393—591no—
946#393—591no—
947#393—591no—
948#393—591no—
949#393C2×D5911yescharacteristic, complemented
950#391—591no—
951#391—591no—
952#391—591no—
953#391—591no—
954#391—591no—
955#391—591no—
956#391—591no—
957#391C2×D5911yescharacteristic, complemented
958#388—591no—
959#388—591no—
960#388—591no—
961#388—591no—
962#388—591no—
963#388—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388—591no—
972#388C2×D5911yescharacteristic, complemented
973#388C2×D5911yescharacteristic, complemented
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#386C2×D5911yescharacteristic
989#386C2×D5911yescharacteristic
990#382—591no—
991#382—591no—
992#382—591no—
993#382—591no—
994#382—591no—
995#382—591no—
996#382—591no—
997#382C2×D5911yescharacteristic, complemented
998#381—591no—
999#381—591no—
1000#381—591no—
1001#381—591no—
1002#381—591no—
1003#381—591no—
1004#381—591no—
1005#381C2×D5911yescharacteristic, complemented
1006C4×C22⋊C4—591no—
1007C4×C22⋊C4—591no—
1008C4×C22⋊C4—591no—
1009C4×C22⋊C4—591no—
1010C4×C22⋊C4—591no—
1011C4×C22⋊C4—591no—
1012C4×C22⋊C4—591no—
1013C4×C22⋊C4C2×D5911yescharacteristic, complemented
1014C2×#95—591no—
1015C2×#95—591no—
1016C2×#95—591no—
1017C2×#95—591no—
1018C2×#95—591no—
1019C2×#95—591no—
1020C2×#95—591no—
1021C2×#95—591no—
1022C2×#95—591no—
1023C2×#95—591no—
1024C2×#95—591no—
1025C2×#95—591no—
1026C2×#95—591no—
1027C2×#95—591no—
1028C2×#95—591no—
1029C2×#95—591no—
1030C2×#95—591no—
1031C2×#95—591no—
1032C2×#95—591no—
1033C2×#95—591no—
1034C2×#95—591no—
1035C2×#95C2×D5911yescharacteristic, complemented
1036C59C2×#248811yescharacteristic, complemented, Sylow
1037C25—591no—
1038C25—591no—
1039C22×Q8—591no—
1040C22×Q8—591no—
1041C22×Q8—591no—
1042C22×Q8—1184no—
1043C22×Q8—1184no—
1044C22×Q8—2362no—
1045C22×Q8C22×D5911yescharacteristic
1046C22×D4—591no—
1047C22×D4—591no—
1048C22×D4—591no—
1049C22×D4—1184no—
1050C22×D4—1184no—
1051C22×D4—1184no—
1052C22×D4C22×D5911yescharacteristic
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—591no—
1064C23×C4—591no—
1065C23×C4—591no—
1066C23×C4—591no—
1067C23×C4—591no—
1068C23×C4—591no—
1069C23×C4—591no—
1070C23×C4—591no—
1071C23×C4—591no—
1072C23×C4—591no—
1073C23×C4—591no—
1074C23×C4—591no—
1075C23×C4—1184no—
1076C23×C4—1184no—
1077C23×C4—1184no—
1078C23×C4—1184no—
1079C23×C4—1184no—
1080C23×C4—1184no—
1081C23×C4—1184no—
1082C23×C4—2362no—
1083C23×C4—2362no—
1084C23×C4C22×D5911yescharacteristic
1085C23×C4C22×D5911yescharacteristic
1086C23×C4C22×D5911yescharacteristic
1087#123—24no—
1088#123—1184no—
1089#123—1184no—
1090#123—1184no—
1091#123—1184no—
1092#123—1184no—
1093#123—1184no—
1094#123—1184no—
1095C22⋊Q8—24no—
1096C22⋊Q8—1184no—
1097C22⋊Q8—1184no—
1098C22⋊Q8—1184no—
1099C22⋊Q8—1184no—
1100C22⋊Q8—1184no—
1101C22⋊Q8—1184no—
1102C22⋊Q8—1184no—
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—591no—
1110C2×C4⋊C4—591no—
1111C2×C4⋊C4—591no—
1112C2×C4⋊C4—591no—
1113C2×C4⋊C4—591no—
1114C2×C4⋊C4—591no—
1115C2×C4⋊C4—591no—
1116C2×C4⋊C4—591no—
1117C2×C4⋊C4—591no—
1118C2×C4⋊C4—1184no—
1119C2×C4⋊C4—1184no—
1120C2×C4⋊C4—1184no—
1121C2×C4⋊C4—1184no—
1122C2×C4⋊C4—1184no—
1123C2×C4⋊C4C22×D5911yescharacteristic
1124C2×C4⋊C4C22×D5911yescharacteristic
1125C2×C4⋊C4C22×D5911yescharacteristic
1126C2×C4⋊C4C22×D5911yescharacteristic
1127C2×C4⋊C4C22×D5911yescharacteristic
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—598no—
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—1184no—
1157C2×C22⋊C4—1184no—
1158C2×C22⋊C4—1184no—
1159C2×C22⋊C4—1184no—
1160C2×C22⋊C4—1184no—
1161C2×C22⋊C4—1184no—
1162C2×C22⋊C4—2362no—
1163C2×C22⋊C4—2362no—
1164C2×C22⋊C4C22×D5911yescharacteristic
1165C2×C22⋊C4C22×D5911yescharacteristic
1166C2×C22⋊C4C22×D5911yescharacteristic
1167C2×C22⋊C4C22×D5911yescharacteristic
1168C2×C22⋊C4C22×D5911yescharacteristic
1169C2×C22⋊C4C22×D5911yescharacteristic
1170C2×C22⋊C4C22×D5911yescharacteristic
1171C2×C22⋊C4C22×D5911yescharacteristic
1172C2×C22⋊C4C22×D5911yescharacteristic
1173C2×C42—591no—
1174C2×C42—591no—
1175C2×C42—591no—
1176C2×C42—591no—
1177C2×C42—591no—
1178C2×C42—591no—
1179C2×C42—1184no—
1180C2×C42—2362no—
1181C2×C42C22×D5911yescharacteristic
1182C2×C42C22×D5911yescharacteristic
1183#95—591no—
1184#95—591no—
1185#95—591no—
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#95—591no—
1223#95—591no—
1224#95—591no—
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
1234#95C22×D5911yescharacteristic
1235#95C22×D5911yescharacteristic
1236#95C22×D5911yescharacteristic
1237#95C22×D5911yescharacteristic
1238#95C22×D5911yescharacteristic
1239C24—591no—
1240C24—594no—
1241C24—594no—
1242C24—594no—
1243C24—591no—
1244C24—591no—
1245C24—1182no—
1246C24—1182no—
1247C24—1182no—
1248C24—1182no—
1249C24—1182no—
1250C24—1182no—
1251C24—1182no—
1252C24—1182no—
1253C24—1182no—
1254C24—1182no—
1255C24—1182no—
1256C24C23×D5911yescharacteristic
1257C24C23×D5911yescharacteristic
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—41no—
1261C2×Q8—1182no—
1262C2×Q8—1182no—
1263C2×Q8—1182no—
1264C2×Q8—1182no—
1265C2×Q8—1182no—
1266C2×Q8—1182no—
1267C2×Q8—2361no—
1268C2×Q8—2361no—
1269C2×Q8—2361no—
1270C2×Q8—23616no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—1182no—
1275C2×D4—1182no—
1276C2×D4—1182no—
1277C2×D4—1182no—
1278C2×D4—1182no—
1279C2×D4—1182no—
1280C2×D4—1182no—
1281C2×D4—1182no—
1282C2×D4—1182no—
1283C2×D4—23616no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—591no—
1294C22×C4—591no—
1295C22×C4—591no—
1296C22×C4—591no—
1297C22×C4—594no—
1298C22×C4—594no—
1299C22×C4—594no—
1300C22×C4—594no—
1301C22×C4—591no—
1302C22×C4—591no—
1303C22×C4—591no—
1304C22×C4—591no—
1305C22×C4—591no—
1306C22×C4—591no—
1307C22×C4—591no—
1308C22×C4—591no—
1309C22×C4—591no—
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—1182no—
1350C22×C4—1182no—
1351C22×C4—1182no—
1352C22×C4—1182no—
1353C22×C4—1182no—
1354C22×C4—1182no—
1355C22×C4—1182no—
1356C22×C4—1182no—
1357C22×C4—1182no—
1358C22×C4—1182no—
1359C22×C4—1182no—
1360C22×C4—1182no—
1361C22×C4—1182no—
1362C22×C4—1182no—
1363C22×C4—1182no—
1364C22×C4—1182no—
1365C22×C4—1182no—
1366C22×C4—2361no—
1367C22×C4—2361no—
1368C22×C4—2361no—
1369C22×C4—2361no—
1370C22×C4—23616no—
1371C22×C4—23616no—
1372C22×C4—23616no—
1373C22×C4—2361no—
1374C22×C4—2361no—
1375C22×C4C23×D5911yescharacteristic
1376C22×C4C23×D5911yescharacteristic
1377C22×C4C23×D5911yescharacteristic
1378C22×C4C23×D5911yescharacteristic
1379C22×C4C23×D5911yescharacteristic
1380C22×C4C23×D5911yescharacteristic
1381C22×C4C23×D5911yescharacteristic
1382C22×C4C23×D5911yescharacteristic
1383C22×C4C23×D5911yescharacteristic
1384C22×C4C23×D5911yescharacteristic
1385C22×C4C23×D5911yescharacteristic
1386C22×C4C23×D5911yescharacteristic
1387C22×C4C23×D5911yescharacteristic
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—1182no—
1394C4⋊C4—1182no—
1395C4⋊C4—1182no—
1396C4⋊C4—1182no—
1397C4⋊C4—1182no—
1398C4⋊C4—1182no—
1399C4⋊C4—1182no—
1400C4⋊C4—1182no—
1401C4⋊C4—1182no—
1402C4⋊C4—1182no—
1403C4⋊C4—1182no—
1404C4⋊C4—1182no—
1405C4⋊C4—1182no—
1406C4⋊C4—1182no—
1407C4⋊C4—1182no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—594no—
1417C22⋊C4—594no—
1418C22⋊C4—594no—
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—2361no—
1438C22⋊C4—2361no—
1439C22⋊C4—2361no—
1440C22⋊C4—2361no—
1441C22⋊C4—2361no—
1442C22⋊C4—2361no—
1443C22⋊C4D4×D5914yes—
1444C42—22no—
1445C42—41no—
1446C42—1182no—
1447C42—1182no—
1448C42—1182no—
1449C42—2361no—
1450C42—2361no—
1451C42—2361no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—592no—
1464C23—592no—
1465C23—592no—
1466C23—592no—
1467C23—592no—
1468C23—592no—
1469C23—592no—
1470C23—5916no—
1471C23—592no—
1472C23—592no—
1473C23—592no—
1474C23—1188no—
1475C23—1188no—
1476C23—1188no—
1477C23—1188no—
1478C23—1188no—
1479C23—1188no—
1480C23—1181no—
1481C23—1181no—
1482C23—1181no—
1483C23—1181no—
1484C23—1181no—
1485C23—1181no—
1486C23—1181no—
1487C23—1181no—
1488C23—1181no—
1489C23—1181no—
1490C23—1181no—
1491C23—2364no—
1492C23—2364no—
1493C23—2364no—
1494C23—2364no—
1495C23—2364no—
1496C23—2364no—
1497C23—2364no—
1498C23C2×D4×D5912yes—
1499C23#41×D5912yes—
1500C23#41×D5912yes—
1501C23C24×D5911yescharacteristic
1502Q8—44no—
1503Q8—2364no—
1504Q8—2364no—
1505Q8—2364no—
1506D4—44no—
1507D4—2364no—
1508D4—2364no—
1509D4—2364no—
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—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—44no—
1548C2×C4—592no—
1549C2×C4—592no—
1550C2×C4—592no—
1551C2×C4—592no—
1552C2×C4—1188no—
1553C2×C4—1188no—
1554C2×C4—1188no—
1555C2×C4—1188no—
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—1181no—
1585C2×C4—1181no—
1586C2×C4—1181no—
1587C2×C4—1181no—
1588C2×C4—1181no—
1589C2×C4—1181no—
1590C2×C4—1181no—
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×C4—2364no—
1600C2×C4—2364no—
1601C2×C4—2364no—
1602C2×C4—2364no—
1603C2×C4—2364no—
1604C2×C4—2364no—
1605C2×C4—2364no—
1606C2×C4—2364no—
1607C2×C4—2364no—
1608C2×C4—2364no—
1609C2×C4C2×D4×D5912yes—
1610C2×C4C2×D4×D5912yes—
1611C2×C4#41×D5912yes—
1612C2×C4#41×D5912yes—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—594no—
1627C22—594no—
1628C22—594no—
1629C22—594no—
1630C22—594no—
1631C22—594no—
1632C22—594no—
1633C22—594no—
1634C22—11832no—
1635C22—1182no—
1636C22—1182no—
1637C22—1182no—
1638C22—1182no—
1639C22—1182no—
1640C22—1182no—
1641C22—4728no—
1642C22—2361no—
1643C22—2361no—
1644C22—2361no—
1645C22—2361no—
1646C22—2361no—
1647C22—2361no—
1648C22—2361no—
1649C22#124×D5914yes—
1650C22C22×D4×D5911yescharacteristic
1651C22C2×#41×D5911yescharacteristic
1652C22C2×#41×D5911yescharacteristic
1653C22C2×#41×D5911yescharacteristic
1654C22C2×#41×D5911yescharacteristic
1655C22H(5,𝔽2)×D5911yescharacteristic
1656C222−1+4×D5911yescharacteristic
1657C4—22no—
1658C4—22no—
1659C4—22no—
1660C4—22no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—1182no—
1671C4—1182no—
1672C4—1182no—
1673C4—1182no—
1674C4—2361no—
1675C4—2361no—
1676C4—2361no—
1677C4—2361no—
1678C4—2361no—
1679C4—2361no—
1680C4—2361no—
1681C4—2361no—
1682C4—2361no—
1683C2—24no—
1684C2—81no—
1685C2—598no—
1686C2—1184no—
1687C2—4721no—
1688C2C2×#124×D5911yescharacteristic
1689C2#529×D5911yescharacteristic
1690C2#539×D5911yescharacteristic
1691C2#546×D5911yescharacteristic
1692C2#547×D5911yescharacteristic
1693C2#551×D5911yescharacteristic
1694C2#552×D5911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2488C2
prime radicalC22×D4×D59C22
hypercenter#2488D59
hypocenterC59C2×#2488
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2488

Complements

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

NH ≅ G/Ntype
2. C2×C22⋊Q8×D59C2semidirect
3. #21428429C2semidirect
4. #21428428C2semidirect
5. #21428427C2semidirect
6. #21428426C2semidirect
7. #21428425C2semidirect
8. #21428424C2semidirect
9. #21428423C2semidirect
10. #21428422C2semidirect
11. #21428421C2semidirect
12. #21428420C2semidirect
13. #21428419C2semidirect
14. #21428418C2semidirect
15. #21428417C2semidirect
16. #21428416C2semidirect
17. #21428415C2semidirect
18. #400×D59C2semidirect
19. #400×D59C2semidirect
20. #397×D59C2semidirect
21. #393×D59C2semidirect
22. #391×D59C2semidirect
23. #388×D59C2semidirect
24. #388×D59C2semidirect
27. #382×D59C2semidirect
28. #381×D59C2semidirect
29. C4×C22⋊C4×D59C2semidirect
30. C2×#95×D59C2semidirect
31. C59×#2488C2semidirect
45. C2×#14273707C22semidirect
46. C2×#14273706C22semidirect
47. C2×#14273705C22semidirect
48. C2×#14273705C22semidirect
49. C2×#14273704C22semidirect
50. C2×#14273704C22semidirect
51. C2×#14273703C22semidirect
69. #16837344C22semidirect
70. #16837344C22semidirect
71. #16837344C22semidirect
72. #16837344C22semidirect
73. #16837343C22semidirect
74. #16837343C22semidirect
75. #16837343C22semidirect
76. #16837343C22semidirect
77. #16837342C22semidirect
78. #16837342C22semidirect
79. #16837341C22semidirect
80. #16837341C22semidirect
81. #16837340C22semidirect
82. #16837340C22semidirect
83. #16837331C22semidirect
84. #16837331C22semidirect
85. #16837330C22semidirect
86. #16837330C22semidirect
87. #16837329C22semidirect
88. #16837328C22semidirect
89. #16837327C22semidirect
90. #16837315C22semidirect
91. #16837315C22semidirect
92. #16837315C22semidirect
93. #16837314C22semidirect
94. #16837314C22semidirect
95. #16837314C22semidirect
96. #16837313C22semidirect
97. #16837309C22semidirect
98. #16837308C22semidirect
99. #16837307C22semidirect
100. #16837306C22semidirect
101. #16837306C22semidirect
102. #16837306C22semidirect
103. #16837306C22semidirect
104. #16837296C22semidirect
105. #16837296C22semidirect
106. #16837295C22semidirect
107. #16837295C22semidirect
108. #16837294C22semidirect
109. #16837294C22semidirect
110. #16837293C22semidirect
111. #16837293C22semidirect
112. #16837292C22semidirect
113. #16837292C22semidirect
114. #16837291C22semidirect
115. #16837291C22semidirect
116. #16837290C22semidirect
117. #16837290C22semidirect
132. #16837268C22semidirect
133. #16837267C22semidirect
134. #16837267C22semidirect
135. #16837266C22semidirect
136. #16837266C22semidirect
137. #16837266C22semidirect
138. #16837266C22semidirect
139. #16837265C22semidirect
140. #16837264C22semidirect
141. #16837264C22semidirect
142. #16837264C22semidirect
143. #16837264C22semidirect
144. #16837263C22semidirect
145. #16837263C22semidirect
146. C22⋊C4×Dic59C22semidirect
147. C22⋊C4×Dic59C22semidirect
148. C4×(C2×D59)⋊C4C22semidirect
149. C4×(C2×D59)⋊C4C22semidirect
150. C4×C22⋊Dic59C22semidirect
151. #16837249C22semidirect
152. #16837249C22semidirect
153. C2×C59⋊#95C22semidirect
154. C2×C59⋊#95C22semidirect
155. C2×C59⋊#95C22semidirect
170. #95×D59C22semidirect
171. #95×D59C22semidirect
172. #95×D59C22semidirect
173. #95×D59C22semidirect
175. C2×C22⋊Q8×C59C22semidirect
176. C59×#400C22semidirect
177. C59×#400C22semidirect
178. C59×#397C22semidirect
179. C59×#393C22semidirect
180. C59×#391C22semidirect
181. C59×#388C22semidirect
182. C59×#388C22semidirect
185. C59×#382C22semidirect
186. C59×#381C22semidirect
187. C4×C22⋊C4×C59C22semidirect
188. C2×#95×C59C22semidirect
853. #2488D59direct (N × H)
878. D59#2488direct (N × H)
901. C2×C22⋊Q8C2×D59semidirect
932. #400C2×D59semidirect
933. #400C2×D59semidirect
941. #397C2×D59semidirect
949. #393C2×D59semidirect
957. #391C2×D59semidirect
972. #388C2×D59semidirect
973. #388C2×D59semidirect
997. #382C2×D59semidirect
1005. #381C2×D59semidirect
1013. C4×C22⋊C4C2×D59semidirect
1035. C2×#95C2×D59semidirect
1036. C59C2×#2488semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D592
C2×C22⋊Q8×D592
#214284292
#214284282
#214284272
#214284262
#214284252
#214284242
#214284232
#214284222
#214284212
#214284202
#214284192
#214284182
#214284172
#214284162
#214284152
#400×D592
#397×D592
#393×D592
#391×D592
#388×D592
#386×D592
#382×D592
#381×D592
C4×C22⋊C4×D592
C2×#95×D592
C59×#24882
C2×#248859