Finite Group Databasebeta

← #28761364

Subgroups — #28761364

Order 15104.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837984C211yesmaximal, characteristic, complemented
2C22×C4×C22⋊D59C211yesmaximal, characteristic, complemented
3#21432409C211yesmaximal, characteristic, complemented
4#21432393C211yesmaximal, characteristic, complemented
5#21432388C211yesmaximal, characteristic, complemented
6#21429997C211yesmaximal, characteristic, complemented
7#21429981C211yesmaximal, characteristic, complemented
8#21429952C211yesmaximal, characteristic, complemented
9#21429937C211yesmaximal, characteristic, complemented
10#21428364C211yesmaximal, characteristic, complemented
11#21428221C211yesmaximal, characteristic, complemented
12#21428154C211yesmaximal, characteristic, complemented
13#21428032C211yesmaximal, characteristic, complemented
14#21427993C211yesmaximal, characteristic, complemented
15#21427992C211yesmaximal, characteristic, complemented
16#21427927C211yesmaximal, characteristic, complemented
17#21427843C211yesmaximal, characteristic, complemented
18#21427827C211yesmaximal, characteristic, complemented
19#21427764C211yesmaximal, characteristic, complemented
20#21427636C211yesmaximal, characteristic, complemented
21#21427629C211yesmaximal, characteristic, complemented
22#21427557C211yesmaximal, characteristic, complemented
23#21427467C211yesmaximal, characteristic, complemented
24#21427466C211yesmaximal, characteristic, complemented
25#21427407C211yesmaximal, characteristic, complemented
26#21426798C211yesmaximal, characteristic, complemented
27#21426752C211yesmaximal, characteristic, complemented
28#21426731C211yesmaximal, characteristic, complemented
29#21426601C211yesmaximal, characteristic, complemented
30#386×D59C211yesmaximal, characteristic, complemented
31C59×#2847C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35#16837984—28no—
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273720C2211yescharacteristic, complemented
38C2×#14273714C2211yescharacteristic, complemented
39C2×#14273713C2211yescharacteristic, complemented
40C2×#14273710C2211yescharacteristic, complemented
41C2×#14273710C2211yescharacteristic, complemented
42C2×#14273708C2211yescharacteristic, complemented
43C2×#14273705C2211yescharacteristic, complemented
44C2×#14273704C2211yescharacteristic, complemented
45C2×#14273699C2211yescharacteristic
46C2×#14273699C2211yescharacteristic, complemented
47C2×#14273698C2211yescharacteristic
48C2×#14273698C2211yescharacteristic
49C2×#14273696C2211yescharacteristic
50C2×#14273695C2211yescharacteristic
51C2×#14273695C2211yescharacteristic
52C2×#14273695C2211yescharacteristic
53C2×#14273695C2211yescharacteristic, complemented
54C2×D4×Dic59C2211yescharacteristic, complemented
55C2×C4×C22⋊D59—28no—
56C2×C4×C22⋊D59C2211yescharacteristic
57C2×C4×C22⋊D59C2211yescharacteristic
58C2×C4×C22⋊D59C2211yescharacteristic
59C2×C4×C22⋊D59C2211yescharacteristic
60C2×C4×C22⋊D59C2211yescharacteristic, complemented
61C2×C4×C22⋊D59C2211yescharacteristic, complemented
62C2×C4×C22⋊D59C2211yescharacteristic, complemented
63C2×C4×C22⋊D59C2211yescharacteristic, complemented
64C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
65C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
66C22×Dic59⋊C4C2211yescharacteristic, complemented
67C22×C22⋊Dic59C2211yescharacteristic, complemented
68C22×(C2×D59)⋊C4C2211yescharacteristic
69C2×C22⋊C4×D59C2211yescharacteristic
70C2×C22⋊C4×D59C2211yescharacteristic, complemented
71C2×C22⋊C4×D59C2211yescharacteristic, complemented
72C22×C4×Dic59C2211yescharacteristic, complemented
73#16837344C2211yescharacteristic, complemented
74#16837340C2211yescharacteristic, complemented
75#16837338C2211yescharacteristic, complemented
76#16837337C2211yescharacteristic, complemented
77#16837332C2211yescharacteristic, complemented
78#16837331C2211yescharacteristic, complemented
79#16837330C2211yescharacteristic, complemented
80#16837327C2211yescharacteristic, complemented
81#16837326C2211yescharacteristic, complemented
82#16837325C2211yescharacteristic, complemented
83#16837324C2211yescharacteristic, complemented
84#16837324C2211yescharacteristic, complemented
85#16837319C2211yescharacteristic, complemented
86#16837318C2211yescharacteristic, complemented
87#16837318C2211yescharacteristic, complemented
88#16837318C2211yescharacteristic, complemented
89#16837317C2211yescharacteristic, complemented
90#16837316C2211yescharacteristic, complemented
91#16837316C2211yescharacteristic, complemented
92#16837316C2211yescharacteristic, complemented
93#16837316C2211yescharacteristic, complemented
94#16837315C2211yescharacteristic, complemented
95#16837314C2211yescharacteristic, complemented
96#16837311C2211yescharacteristic
97#16837311C2211yescharacteristic
98#16837311C2211yescharacteristic, complemented
99#16837310C2211yescharacteristic
100#16837310C2211yescharacteristic
101#16837310C2211yescharacteristic, complemented
102#16837310C2211yescharacteristic, complemented
103#16837310C2211yescharacteristic, complemented
104#16837310C2211yescharacteristic, complemented
105#16837306C2211yescharacteristic, complemented
106#16837305C2211yescharacteristic, complemented
107#16837302C2211yescharacteristic, complemented
108#16837302C2211yescharacteristic, complemented
109#16837296C2211yescharacteristic, complemented
110#16837296C2211yescharacteristic, complemented
111#16837296C2211yescharacteristic, complemented
112#16837296C2211yescharacteristic, complemented
113#16837295C2211yescharacteristic, complemented
114#16837295C2211yescharacteristic, complemented
115#16837294C2211yescharacteristic, complemented
116#16837291C2211yescharacteristic, complemented
117#16837291C2211yescharacteristic, complemented
118#16837290C2211yescharacteristic, complemented
119#16837290C2211yescharacteristic, complemented
120#16837290C2211yescharacteristic, complemented
121#16837289C2211yescharacteristic, complemented
122#16837287C2211yescharacteristic, complemented
123#16837285C2211yescharacteristic, complemented
124#16837284C2211yescharacteristic, complemented
125#16837283C2211yescharacteristic, complemented
126#16837283C2211yescharacteristic, complemented
127#16837282C2211yescharacteristic
128#16837282C2211yescharacteristic
129#16837282C2211yescharacteristic
130#16837282C2211yescharacteristic, complemented
131#16837282C2211yescharacteristic, complemented
132#16837281C2211yescharacteristic
133#16837281C2211yescharacteristic
134#16837281C2211yescharacteristic, complemented
135#16837281C2211yescharacteristic, complemented
136#16837280C2211yescharacteristic, complemented
137#16837280C2211yescharacteristic, complemented
138#16837279C2211yescharacteristic
139#16837279C2211yescharacteristic
140#16837278C2211yescharacteristic
141#16837278C2211yescharacteristic
142#16837278C2211yescharacteristic
143#16837278C2211yescharacteristic
144#16837278C2211yescharacteristic, complemented
145#16837278C2211yescharacteristic, complemented
146#16837278C2211yescharacteristic, complemented
147#16837278C2211yescharacteristic, complemented
148#16837278C2211yescharacteristic, complemented
149#16837277C2211yescharacteristic, complemented
150#16837276C2211yescharacteristic, complemented
151#16837276C2211yescharacteristic, complemented
152#16837276C2211yescharacteristic, complemented
153#16837275C2211yescharacteristic, complemented
154#16837275C2211yescharacteristic, complemented
155#16837275C2211yescharacteristic, complemented
156#16837275C2211yescharacteristic, complemented
157#16837274C2211yescharacteristic, complemented
158#16837274C2211yescharacteristic, complemented
159#16837273C2211yescharacteristic, complemented
160#16837273C2211yescharacteristic, complemented
161#16837269C2211yescharacteristic, complemented
162#16837266C2211yescharacteristic, complemented
163#16837265C2211yescharacteristic, complemented
164#16837265C2211yescharacteristic, complemented
165#16837261C2211yescharacteristic, complemented
166#16837258C2211yescharacteristic, complemented
167#16837257C2211yescharacteristic
168#16837257C2211yescharacteristic, complemented
169C22⋊C4×Dic59C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic, complemented
173#95×D59C2211yescharacteristic, complemented
174C24×C4×C59C2211yescharacteristic, complemented
175C2×#121×C59C2211yescharacteristic
176C2×#121×C59C2211yescharacteristic, complemented
177C2×#121×C59C2211yescharacteristic, complemented
178C2×#120×C59C2211yescharacteristic
179C2×#120×C59C2211yescharacteristic, complemented
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic, complemented
186C59×#380C2211yescharacteristic, complemented
187C59×#380C2211yescharacteristic, complemented
188C59×#380C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×C22⋊D59—24no—
194C22×C22⋊D59—24no—
195C22×C22⋊D59—24no—
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
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—42no—
209C2×D4×D59—42no—
210C23×Dic59C2311yescharacteristic
211C23×Dic59C2311yescharacteristic
212C23×Dic59C2311yescharacteristic
213C23×Dic59C2311yescharacteristic
214C22×C4×D59—24no—
215C22×C4×D59—42no—
216C22×C4×D59—42no—
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223C22×C4×D59C2311yescharacteristic
224#14273722—24no—
225#14273720—24no—
226#14273714—24no—
227#14273713—24no—
228#14273710—24no—
229#14273710—42no—
230#14273708—24no—
231#14273705—24no—
232#14273704—42no—
233#14273699—24no—
234#14273699—42no—
235#14273698—24no—
236#14273698—24no—
237#14273696—42no—
238#14273695—24no—
239#14273695—24no—
240#14273695—24no—
241#14273695—24no—
242D4×Dic59—42no—
243C4×C22⋊D59—24no—
244C4×C22⋊D59—24no—
245C4×C22⋊D59—24no—
246C4×C22⋊D59—24no—
247C4×C22⋊D59—24no—
248C4×C22⋊D59—24no—
249C4×C22⋊D59—24no—
250C4×C22⋊D59D418yescomplemented
251(C22⋊D59)⋊C4—24no—
252(C22⋊D59)⋊C4—42no—
253C2×C4⋊Dic59C2311yescharacteristic
254C2×C4⋊Dic59C2311yescharacteristic
255C2×C4⋊Dic59C2311yescharacteristic
256C2×C4⋊Dic59C2311yescharacteristic
257C2×Dic59⋊C4—24no—
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×C22⋊Dic59—24no—
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×C22⋊Dic59C2311yescharacteristic
292C2×C22⋊Dic59C2311yescharacteristic
293C2×C22⋊Dic59C2311yescharacteristic
294C2×C22⋊Dic59C2311yescharacteristic
295C2×(C2×D59)⋊C4—24no—
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
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C2×(C2×D59)⋊C4C2311yescharacteristic
314C2×(C2×D59)⋊C4C2311yescharacteristic
315C2×(C2×D59)⋊C4C2311yescharacteristic
316C2×(C2×D59)⋊C4C2311yescharacteristic
317C22⋊C4×D59—24no—
318C22⋊C4×D59—42no—
319C22⋊C4×D59—42no—
320C2×C4×Dic59—24no—
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C2×C4×Dic59C2311yescharacteristic
327C2×C4×Dic59C2311yescharacteristic
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
354C25×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C22×D4×C59C2311yescharacteristic
357C22×D4×C59C2311yescharacteristic
358C22×D4×C59C2311yescharacteristic
359C22×D4×C59C2311yescharacteristic
360C22×D4×C59C2311yescharacteristic
361C22×D4×C59C2311yescharacteristic
362C23×C4×C59—24no—
363C23×C4×C59—42no—
364C23×C4×C59—42no—
365C23×C4×C59C2311yescharacteristic
366C23×C4×C59C2311yescharacteristic
367C23×C4×C59C2311yescharacteristic
368C23×C4×C59C2311yescharacteristic
369C23×C4×C59C2311yescharacteristic
370C23×C4×C59C2311yescharacteristic
371#121×C59—24no—
372#121×C59—42no—
373#121×C59—42no—
374#120×C59—42no—
375#120×C59—42no—
376C2×C4⋊C4×C59C2311yescharacteristic
377C2×C4⋊C4×C59C2311yescharacteristic
378C2×C4⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C22⋊C4×C59C2311yescharacteristic
385C2×C22⋊C4×C59C2311yescharacteristic
386C2×C22⋊C4×C59C2311yescharacteristic
387C2×C22⋊C4×C59C2311yescharacteristic
388C2×C22⋊C4×C59C2311yescharacteristic
389C2×C22⋊C4×C59C2311yescharacteristic
390C2×C22⋊C4×C59C2311yescharacteristic
391#95×C59C2311yescharacteristic
392#95×C59C2311yescharacteristic
393#95×C59C2311yescharacteristic
394#95×C59C2311yescharacteristic
395#95×C59C2311yescharacteristic
396#95×C59C2311yescharacteristic
397C24×C59—22no—
398C24×C59—22no—
399C24×C59—22no—
400C24×C59—22no—
401C24×C59—22no—
402C24×C59—41no—
403C24×C59—41no—
404C24×C59C2411yescharacteristic
405C24×C59C2411yescharacteristic
406C24×C59C2411yescharacteristic
407C24×C59C2411yescharacteristic
408C24×C59C2411yescharacteristic
409C23×D59—22no—
410C23×D59—22no—
411C23×D59—22no—
412C23×D59—22no—
413C23×D59—22no—
414C23×D59—22no—
415C23×D59—22no—
416C23×D59—41no—
417C23×D59—41no—
418C23×D59—41no—
419C23×D59—41no—
420C23×D59—41no—
421C23×D59—41no—
422C23×D59#4114yes—
423C23×D59C2411yescharacteristic
424C23×D59C2411yescharacteristic
425C23×D59C2411yescharacteristic
426C2×D4×C59—22no—
427C2×D4×C59—22no—
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—22no—
435C2×D4×C59—22no—
436C2×D4×C59—22no—
437C2×D4×C59—41no—
438C2×D4×C59—41no—
439C2×D4×C59—41no—
440C2×D4×C59—41no—
441C2×D4×C59—41no—
442C2×D4×C59—41no—
443C2×D4×C59—41no—
444C2×D4×C59—41no—
445C2×D4×C59—41no—
446C2×D4×C59—41no—
447C22×C4×C59—22no—
448C22×C4×C59—22no—
449C22×C4×C59—22no—
450C22×C4×C59—22no—
451C22×C4×C59—22no—
452C22×C4×C59—22no—
453C22×C4×C59—22no—
454C22×C4×C59—22no—
455C22×C4×C59—22no—
456C22×C4×C59—22no—
457C22×C4×C59—41no—
458C22×C4×C59—41no—
459C22×C4×C59—41no—
460C22×C4×C59—41no—
461C22×C4×C59—41no—
462C22×C4×C59—41no—
463C22×C4×C59—41no—
464C22×C4×C59—416no—
465C22×C4×C59C2×D414yescomplemented
466C22×C4×C59C2411yescharacteristic
467C22×C4×C59C2411yescharacteristic
468C22×C4×C59C2411yescharacteristic
469C22×C4×C59C2411yescharacteristic
470C22×C4×C59C2411yescharacteristic
471C22×C4×C59C2411yescharacteristic
472C22×C4×C59C2411yescharacteristic
473C22×C4×C59C2411yescharacteristic
474C22×C4×C59C2411yescharacteristic
475C22×C4×C59C2411yescharacteristic
476C2×C22⋊D59—232no—
477C2×C22⋊D59—22no—
478C2×C22⋊D59—22no—
479C2×C22⋊D59—22no—
480C2×C22⋊D59—22no—
481C2×C22⋊D59—22no—
482C2×C22⋊D59—22no—
483C2×C22⋊D59—22no—
484C2×C22⋊D59—22no—
485C2×C22⋊D59—22no—
486C2×C22⋊D59—22no—
487C2×C22⋊D59—22no—
488C2×C22⋊D59—22no—
489C2×C22⋊D59—22no—
490C2×C22⋊D59—22no—
491C2×C22⋊D59—22no—
492C2×C22⋊D59—22no—
493C2×C22⋊D59—22no—
494C2×C22⋊D59—22no—
495C2×C22⋊D59—22no—
496C2×C22⋊D59—22no—
497C2×C22⋊D59—22no—
498C2×C22⋊D59—41no—
499C2×C22⋊D59—41no—
500C2×C22⋊D59—41no—
501C2×C22⋊D59—41no—
502C2×C22⋊D59—41no—
503C2×C22⋊D59—41no—
504C2×C22⋊D59—41no—
505C2×C22⋊D59—41no—
506C2×C22⋊D59—41no—
507C2×C22⋊D59—41no—
508C2×C22⋊D59C2×D414yes—
509C2×C22⋊D59#4114yes—
510C22×Dic59—22no—
511C22×Dic59—22no—
512C22×Dic59—22no—
513C22×Dic59—22no—
514C22×Dic59—22no—
515C22×Dic59—22no—
516C22×Dic59—22no—
517C22×Dic59—22no—
518C22×Dic59—41no—
519C22×Dic59—41no—
520C22×Dic59—41no—
521C22×Dic59—41no—
522C22×Dic59C2411yescharacteristic
523C22×Dic59C2411yescharacteristic
524C22×Dic59C2411yescharacteristic
525C22×Dic59C2411yescharacteristic
526C22×Dic59C2411yescharacteristic
527C22×Dic59C2411yescharacteristic
528C22×Dic59C2411yescharacteristic
529C22×Dic59C2411yescharacteristic
530C22×Dic59C2411yescharacteristic
531C22×Dic59C2411yescharacteristic
532C22×Dic59C2411yescharacteristic
533C22×Dic59C2411yescharacteristic
534C22×Dic59C2411yescharacteristic
535D4×D59—416no—
536C2×D236—22no—
537C2×D236—41no—
538C2×D236—41no—
539C2×C4×D59—22no—
540C2×C4×D59—22no—
541C2×C4×D59—22no—
542C2×C4×D59—22no—
543C2×C4×D59—22no—
544C2×C4×D59—22no—
545C2×C4×D59—22no—
546C2×C4×D59—22no—
547C2×C4×D59—41no—
548C2×C4×D59—41no—
549C2×C4×D59—41no—
550C2×C4×D59—41no—
551C2×C4×D59—41no—
552C2×C4×D59—41no—
553C2×C4×D59—41no—
554C2×C4×D59—41no—
555C2×C4×D59—416no—
556C2×C4×D59—41no—
557C2×C4×D59—41no—
558C2×C4×D59—41no—
559C2×C4×D59—41no—
560C2×C4×D59C2×D414yes—
561C2×Dic118—22no—
562C2×Dic118—41no—
563C2×Dic118—41no—
564C4⋊C4×C59—22no—
565C4⋊C4×C59—41no—
566C4⋊C4×C59—41no—
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—41no—
574C22⋊C4×C59—41no—
575C22⋊C4×C59—41no—
576C22⋊C4×C59—41no—
577C22⋊C4×C59—41no—
578C22⋊C4×C59—41no—
579C22⋊Dic59—22no—
580C22⋊Dic59—22no—
581C22⋊Dic59—22no—
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—22no—
591C22⋊Dic59—22no—
592C22⋊Dic59—22no—
593C22⋊Dic59—41no—
594C22⋊Dic59—41no—
595C22⋊Dic59—41no—
596C22⋊Dic59—41no—
597C22⋊Dic59—41no—
598C22⋊Dic59—41no—
599C22⋊Dic59—41no—
600C22⋊Dic59—41no—
601C22⋊Dic59C2×D414yescomplemented
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—22no—
612(C2×D59)⋊C4—22no—
613(C2×D59)⋊C4—22no—
614(C2×D59)⋊C4—22no—
615(C2×D59)⋊C4—41no—
616(C2×D59)⋊C4—41no—
617(C2×D59)⋊C4—41no—
618(C2×D59)⋊C4—41no—
619(C2×D59)⋊C4—41no—
620(C2×D59)⋊C4—41no—
621(C2×D59)⋊C4—41no—
622(C2×D59)⋊C4C2×D414yes—
623C4⋊Dic59—22no—
624C4⋊Dic59—22no—
625C4⋊Dic59—41no—
626C4⋊Dic59—41no—
627Dic59⋊C4—22no—
628Dic59⋊C4—22no—
629Dic59⋊C4—22no—
630Dic59⋊C4—22no—
631Dic59⋊C4—22no—
632Dic59⋊C4—22no—
633Dic59⋊C4—22no—
634Dic59⋊C4—41no—
635Dic59⋊C4—41no—
636Dic59⋊C4—41no—
637Dic59⋊C4—41no—
638Dic59⋊C4—41no—
639Dic59⋊C4C2×D414yescomplemented
640C4×Dic59—22no—
641C4×Dic59—22no—
642C4×Dic59—22no—
643C4×Dic59—22no—
644C4×Dic59—41no—
645C4×Dic59—41no—
646C4×Dic59C2×D414yescomplemented
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59—21no—
651C23×C59—28no—
652C23×C59—21no—
653C23×C59—21no—
654C23×C59—21no—
655C23×C59—21no—
656C23×C59—21no—
657C23×C59—21no—
658C23×C59—21no—
659C23×C59—21no—
660C23×C59—21no—
661C23×C59—21no—
662C23×C59—21no—
663C23×C59—21no—
664C23×C59—21no—
665C23×C59—21no—
666C23×C59—21no—
667C23×C59—21no—
668C23×C59—21no—
669C23×C59—21no—
670C23×C59—21no—
671C23×C59—21no—
672C23×C59—21no—
673C23×C59—21no—
674C23×C59—21no—
675C23×C59—21no—
676C23×C59—21no—
677C23×C59—21no—
678C23×C59—44no—
679C23×C59—44no—
680C23×C59—44no—
681C23×C59—44no—
682C23×C59—44no—
683C23×C59—44no—
684C23×C59C22×D412yes—
685C23×C59C2×#4112yes—
686C23×C59C2×#4112yes—
687C23×C59H(5,𝔽2)12yes—
688C23×C59H(5,𝔽2)12yes—
689C23×C59C2511yescharacteristic
690C22×D59—21no—
691C22×D59—21no—
692C22×D59—21no—
693C22×D59—21no—
694C22×D59—28no—
695C22×D59—21no—
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—21no—
699C22×D59—21no—
700C22×D59—21no—
701C22×D59—28no—
702C22×D59—21no—
703C22×D59—21no—
704C22×D59—21no—
705C22×D59—21no—
706C22×D59—21no—
707C22×D59—21no—
708C22×D59—21no—
709C22×D59—44no—
710C22×D59—44no—
711C22×D59—44no—
712C22×D59—44no—
713C22×D59—44no—
714C22×D59—44no—
715C22×D59—44no—
716C22×D59—44no—
717C22×D59—82no—
718C22×D59—82no—
719C22×D59—82no—
720C22×D59—82no—
721C22×D59C22×D412yes—
722C22×D59C2×#4112yes—
723C22×D59C2×#4112yes—
724C22×D59C2×#4112yes—
725D4×C59—44no—
726D4×C59—44no—
727D4×C59—82no—
728D4×C59—82no—
729D4×C59—82no—
730D4×C59—82no—
731D4×C59—82no—
732C2×C4×C59—28no—
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—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—44no—
761C2×C4×C59—44no—
762C2×C4×C59—44no—
763C2×C4×C59—44no—
764C2×C4×C59—44no—
765C2×C4×C59C22×D412yes—
766C2×C4×C59C22×D412yes—
767C2×C4×C59H(5,𝔽2)12yes—
768C22⋊D59—28no—
769C22⋊D59—28no—
770C22⋊D59—28no—
771C22⋊D59—28no—
772C22⋊D59—44no—
773C22⋊D59—44no—
774C22⋊D59—44no—
775C22⋊D59—44no—
776C22⋊D59—82no—
777C22⋊D59—82no—
778C22⋊D59—82no—
779C2×Dic59—28no—
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—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—21no—
803C2×Dic59—21no—
804C2×Dic59—21no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—21no—
808C2×Dic59—21no—
809C2×Dic59—21no—
810C2×Dic59—21no—
811C2×Dic59—21no—
812C2×Dic59—21no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—44no—
816C2×Dic59—44no—
817C2×Dic59—82no—
818C2×Dic59C22×D412yes—
819C2×Dic59C22×D412yes—
820C2×Dic59C22×D412yes—
821C2×Dic59C2×#4112yes—
822D236—44no—
823C4×D59—44no—
824C4×D59—44no—
825C4×D59—44no—
826C4×D59—44no—
827C4×D59—44no—
828C4×D59—82no—
829C4×D59—82no—
830Dic118—82no—
831#34990—591nomaximal, Sylow
832C22×C59—22no—
833C22×C59—22no—
834C22×C59—22no—
835C22×C59—22no—
836C22×C59—22no—
837C22×C59—22no—
838C22×C59—22no—
839C22×C59—22no—
840C22×C59—22no—
841C22×C59—22no—
842C22×C59—22no—
843C22×C59—22no—
844C22×C59—416no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59—41no—
866C22×C59—41no—
867C22×C59#53814yescomplemented
868C22×C59C23×D411yescharacteristic
869C22×C59C22×#4111yescharacteristic
870C22×C59C22×#4111yescharacteristic
871C22×C59C2×H(5,𝔽2)11yescharacteristic
872C22×C59C2×H(5,𝔽2)11yescharacteristic
873C22×C59C2×H(5,𝔽2)11yescharacteristic
874C22×C59#58511yescharacteristic
875C2×D59—22no—
876C2×D59—22no—
877C2×D59—22no—
878C2×D59—22no—
879C2×D59—22no—
880C2×D59—22no—
881C2×D59—22no—
882C2×D59—22no—
883C2×D59—22no—
884C2×D59—416no—
885C2×D59—41no—
886C2×D59—41no—
887C2×D59—41no—
888C2×D59—41no—
889C2×D59—41no—
890C2×D59—41no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—88no—
897C2×D59#52514yes—
898C4×C59—22no—
899C4×C59—22no—
900C4×C59—22no—
901C4×C59—41no—
902C4×C59—41no—
903C4×C59—41no—
904C4×C59—41no—
905C4×C59—41no—
906C4×C59—41no—
907C4×C59—41no—
908Dic59—22no—
909Dic59—22no—
910Dic59—22no—
911Dic59—22no—
912Dic59—41no—
913Dic59—41no—
914Dic59—41no—
915Dic59—41no—
916Dic59—41no—
917Dic59—41no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921C2×#538—591no—
922C22×C4×D4—591no—
923#2852—591no—
924#2850—591no—
925#2849—591no—
926#2847D5911yescharacteristic, complemented
927#2636—591no—
928#2635—591no—
929#2631—591no—
930#2630—591no—
931#2481—591no—
932#2472—591no—
933#2467—591no—
934#2459—591no—
935#2456—591no—
936#2456—591no—
937#2450—591no—
938#2444—591no—
939#2443—591no—
940#2437—591no—
941#2424—591no—
942#2424—591no—
943#2418—591no—
944#2410—591no—
945#2410—591no—
946#2403—591no—
947#2325—591no—
948#2321—591no—
949#2318—591no—
950C4×#120—591no—
951C2×#386—591no—
952C2×C59—24no—
953C2×C59—42no—
954C2×C59—42no—
955C2×C59—81no—
956C2×C59—81no—
957C2×C59C2×#52511yescharacteristic
958C2×C59C2×#53811yescharacteristic
959C2×C59#345911yescharacteristic
960C2×C59#348411yescharacteristic
961C2×C59#348811yescharacteristic
962C2×C59#351311yescharacteristic
963C2×C59#351911yescharacteristic
964D59—24no—
965D59—42no—
966D59—81no—
967C23×D4—591no—
968C23×D4—591no—
969C24×C4—591no—
970C24×C4C2×D5911yescharacteristic, complemented
971#538—1188no—
972C2×#126—591no—
973C2×#126—591no—
974C2×#124—591no—
975C2×#124—591no—
976C2×#123—591no—
977C2×#123—591no—
978C2×#123—591no—
979C2×C22⋊Q8—591no—
980C2×C22⋊Q8—591no—
981C2×#121—591no—
982C2×#121—591no—
983C2×#121—591no—
984C2×#121—591no—
985C2×#121C2×D5911yescharacteristic
986C2×#121C2×D5911yescharacteristic, complemented
987C2×#121C2×D5911yescharacteristic, complemented
988C2×#120—591no—
989C2×#120—591no—
990C2×#120—591no—
991C2×#120—591no—
992C2×#120—591no—
993C2×#120C2×D5911yescharacteristic
994C2×#120C2×D5911yescharacteristic, complemented
995C2×C4×D4—591no—
996C2×C4×D4—591no—
997C2×C4×D4—591no—
998C2×C4×D4—591no—
999C2×C4×D4—591no—
1000C2×C4×D4—591no—
1001C2×C4×D4—591no—
1002C2×C4×D4—591no—
1003C2×C4×D4—591no—
1004C2×C4×D4—591no—
1005C2×C4×D4—591no—
1006C2×C4×D4—1188no—
1007C22×C4⋊C4—591no—
1008C22×C22⋊C4—591no—
1009C22×C22⋊C4—591no—
1010C22×C22⋊C4—591no—
1011C22×C22⋊C4—591no—
1012C22×C22⋊C4—591no—
1013C22×C42—591no—
1014#400—591no—
1015#400—591no—
1016#399—591no—
1017#399—591no—
1018#398—591no—
1019#397—591no—
1020#397—591no—
1021#397—591no—
1022#396—591no—
1023#396—591no—
1024#396—591no—
1025#396—591no—
1026#394—591no—
1027#394—591no—
1028#394—591no—
1029#394—591no—
1030#394—591no—
1031#394—591no—
1032#394—591no—
1033#394—591no—
1034#394—591no—
1035#393—591no—
1036#393—591no—
1037#392—591no—
1038#392—591no—
1039#392—591no—
1040#392—591no—
1041#392—591no—
1042#392—591no—
1043#392—591no—
1044#392—591no—
1045#392—591no—
1046#391—591no—
1047#390—591no—
1048#390—591no—
1049#390—591no—
1050#388—591no—
1051#388—591no—
1052#388—591no—
1053#388—591no—
1054#388—591no—
1055#388—591no—
1056#388—591no—
1057#388—591no—
1058#388—591no—
1059#388—591no—
1060#388—591no—
1061#388—591no—
1062#387—591no—
1063#387—591no—
1064#387—591no—
1065#387—591no—
1066#387—591no—
1067#387—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#386—591no—
1077#386—591no—
1078#386—591no—
1079#386—591no—
1080#386—591no—
1081#386—591no—
1082#386—591no—
1083#386—591no—
1084#386—591no—
1085#386—591no—
1086#386—591no—
1087#386—591no—
1088#386—591no—
1089#386—591no—
1090#386C2×D5911yescharacteristic
1091#386C2×D5911yescharacteristic, complemented
1092#386C2×D5911yescharacteristic, complemented
1093#386C2×D5911yescharacteristic, complemented
1094#386C2×D5911yescharacteristic, complemented
1095#386C2×D5911yescharacteristic, complemented
1096#385—591no—
1097#385—591no—
1098#385—591no—
1099#385—591no—
1100#385—591no—
1101#385—591no—
1102#385—591no—
1103#385—591no—
1104#385—591no—
1105#385—591no—
1106#385—591no—
1107#385—591no—
1108#383—591no—
1109#382—591no—
1110#381—591no—
1111#381—591no—
1112#380—591no—
1113#380C2×D5911yescharacteristic, complemented
1114#380C2×D5911yescharacteristic, complemented
1115#380C2×D5911yescharacteristic, complemented
1116#379—591no—
1117#379—591no—
1118#379—591no—
1119C4×C22⋊C4—591no—
1120C4×C22⋊C4—591no—
1121C4×C22⋊C4—591no—
1122C2×#95—591no—
1123C2×#95—591no—
1124C59#3499011yescharacteristic, complemented, Sylow
1125C25—591no—
1126C25—591no—
1127C25C22×D5911yescharacteristic
1128C22×Q8—591no—
1129C22×D4—591no—
1130C22×D4—591no—
1131C22×D4—591no—
1132C22×D4—591no—
1133C22×D4—591no—
1134C22×D4—591no—
1135C22×D4—591no—
1136C22×D4—591no—
1137C22×D4—591no—
1138C22×D4—591no—
1139C22×D4—591no—
1140C22×D4—591no—
1141C22×D4—1184no—
1142C22×D4—1184no—
1143C22×D4—1184no—
1144C22×D4—1184no—
1145C22×D4—2362no—
1146C22×D4—2362no—
1147C22×D4C22×D5911yescharacteristic
1148C22×D4C22×D5911yescharacteristic
1149C22×D4C22×D5911yescharacteristic
1150C22×D4C22×D5911yescharacteristic
1151C22×D4C22×D5911yescharacteristic
1152C22×D4C22×D5911yescharacteristic
1153C22×D4C22×D5911yescharacteristic
1154C23×C4—24no—
1155C23×C4—42no—
1156C23×C4—42no—
1157C23×C4—591no—
1158C23×C4—591no—
1159C23×C4—591no—
1160C23×C4—591no—
1161C23×C4—591no—
1162C23×C4—591no—
1163C23×C4—591no—
1164C23×C4—591no—
1165C23×C4—591no—
1166C23×C4—591no—
1167C23×C4—591no—
1168C23×C4—1184no—
1169C23×C4—2362no—
1170C23×C4—2362no—
1171C23×C4C22×D5911yescharacteristic
1172C23×C4C22×D5911yescharacteristic
1173C23×C4C22×D5911yescharacteristic
1174C23×C4C22×D5911yescharacteristic
1175C23×C4C22×D5911yescharacteristic
1176C23×C4C22×D5911yescharacteristic
1177#126—1184no—
1178#126—1184no—
1179#124—1184no—
1180#124—1184no—
1181#123—1184no—
1182#123—1184no—
1183#123—2362no—
1184C22⋊Q8—1184no—
1185C22⋊Q8—2362no—
1186#121—24no—
1187#121—42no—
1188#121—42no—
1189#121—1184no—
1190#121—1184no—
1191#121—1184no—
1192#121—2362no—
1193#120—42no—
1194#120—42no—
1195#120—1184no—
1196#120—1184no—
1197#120—1184no—
1198#120—1184no—
1199#120—2362no—
1200C4×D4—598no—
1201C4×D4—1184no—
1202C4×D4—1184no—
1203C4×D4—1184no—
1204C4×D4—1184no—
1205C4×D4—1184no—
1206C4×D4—1184no—
1207C4×D4—1184no—
1208C4×D4—1184no—
1209C4×D4—2362no—
1210C4×D4—2362no—
1211C2×C4⋊C4—591no—
1212C2×C4⋊C4—591no—
1213C2×C4⋊C4—591no—
1214C2×C4⋊C4—591no—
1215C2×C4⋊C4—591no—
1216C2×C4⋊C4—591no—
1217C2×C4⋊C4—591no—
1218C2×C4⋊C4—591no—
1219C2×C4⋊C4—591no—
1220C2×C4⋊C4—591no—
1221C2×C4⋊C4—591no—
1222C2×C4⋊C4—591no—
1223C2×C4⋊C4—591no—
1224C2×C4⋊C4—591no—
1225C2×C4⋊C4—591no—
1226C2×C4⋊C4—591no—
1227C2×C4⋊C4—591no—
1228C2×C4⋊C4—1184no—
1229C2×C4⋊C4C22×D5911yescharacteristic
1230C2×C4⋊C4C22×D5911yescharacteristic
1231C2×C4⋊C4C22×D5911yescharacteristic
1232C2×C22⋊C4—591no—
1233C2×C22⋊C4—591no—
1234C2×C22⋊C4—591no—
1235C2×C22⋊C4—591no—
1236C2×C22⋊C4—591no—
1237C2×C22⋊C4—591no—
1238C2×C22⋊C4—591no—
1239C2×C22⋊C4—591no—
1240C2×C22⋊C4—591no—
1241C2×C22⋊C4—591no—
1242C2×C22⋊C4—591no—
1243C2×C22⋊C4—591no—
1244C2×C22⋊C4—591no—
1245C2×C22⋊C4—591no—
1246C2×C22⋊C4—591no—
1247C2×C22⋊C4—591no—
1248C2×C22⋊C4—591no—
1249C2×C22⋊C4—591no—
1250C2×C22⋊C4—591no—
1251C2×C22⋊C4—591no—
1252C2×C22⋊C4—591no—
1253C2×C22⋊C4—591no—
1254C2×C22⋊C4—591no—
1255C2×C22⋊C4—591no—
1256C2×C22⋊C4—591no—
1257C2×C22⋊C4—591no—
1258C2×C22⋊C4—591no—
1259C2×C22⋊C4—591no—
1260C2×C22⋊C4—591no—
1261C2×C22⋊C4—591no—
1262C2×C22⋊C4—591no—
1263C2×C22⋊C4—591no—
1264C2×C22⋊C4—591no—
1265C2×C22⋊C4—591no—
1266C2×C22⋊C4—591no—
1267C2×C22⋊C4—591no—
1268C2×C22⋊C4—591no—
1269C2×C22⋊C4—591no—
1270C2×C22⋊C4—591no—
1271C2×C22⋊C4—591no—
1272C2×C22⋊C4—591no—
1273C2×C22⋊C4—591no—
1274C2×C22⋊C4—591no—
1275C2×C22⋊C4—591no—
1276C2×C22⋊C4—1184no—
1277C2×C22⋊C4—1184no—
1278C2×C22⋊C4—1184no—
1279C2×C22⋊C4—2362no—
1280C2×C22⋊C4—2362no—
1281C2×C22⋊C4C22×D5911yescharacteristic
1282C2×C22⋊C4C22×D5911yescharacteristic
1283C2×C22⋊C4C22×D5911yescharacteristic
1284C2×C22⋊C4C22×D5911yescharacteristic
1285C2×C22⋊C4C22×D5911yescharacteristic
1286C2×C22⋊C4C22×D5911yescharacteristic
1287C2×C22⋊C4C22×D5911yescharacteristic
1288C2×C22⋊C4C22×D5911yescharacteristic
1289C2×C22⋊C4C22×D5911yescharacteristic
1290C2×C22⋊C4C22×D5911yescharacteristic
1291C2×C22⋊C4C22×D5911yescharacteristic
1292C2×C22⋊C4C22×D5911yescharacteristic
1293C2×C42—591no—
1294C2×C42—591no—
1295C2×C42—591no—
1296C2×C42—591no—
1297C2×C42—591no—
1298C2×C42—591no—
1299C2×C42—591no—
1300C2×C42—1184no—
1301#95—591no—
1302#95—591no—
1303#95—591no—
1304#95—591no—
1305#95—591no—
1306#95—591no—
1307#95—591no—
1308#95—591no—
1309#95—591no—
1310#95—591no—
1311#95—591no—
1312#95—591no—
1313#95—591no—
1314#95—591no—
1315#95—591no—
1316#95—591no—
1317#95—591no—
1318#95—591no—
1319#95—591no—
1320#95—591no—
1321#95—591no—
1322#95—591no—
1323#95—591no—
1324#95—591no—
1325#95—591no—
1326#95—591no—
1327#95C22×D5911yescharacteristic
1328#95C22×D5911yescharacteristic
1329#95C22×D5911yescharacteristic
1330#95C22×D5911yescharacteristic
1331#95C22×D5911yescharacteristic
1332#95C22×D5911yescharacteristic
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—41no—
1339C24—41no—
1340C24—591no—
1341C24—591no—
1342C24—594no—
1343C24—591no—
1344C24—1182no—
1345C24—1182no—
1346C24—1182no—
1347C24—1182no—
1348C24—1182no—
1349C24—1182no—
1350C24—1182no—
1351C24—2361no—
1352C24—2361no—
1353C24—2361no—
1354C24—2361no—
1355C24—2361no—
1356C24—2361no—
1357C24C23×D5911yescharacteristic
1358C24C23×D5911yescharacteristic
1359C24C23×D5911yescharacteristic
1360C24C23×D5911yescharacteristic
1361C24C23×D5911yescharacteristic
1362C2×Q8—1182no—
1363C2×Q8—2361no—
1364C2×Q8—2361no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—594no—
1387C2×D4—594no—
1388C2×D4—1182no—
1389C2×D4—1182no—
1390C2×D4—1182no—
1391C2×D4—1182no—
1392C2×D4—1182no—
1393C2×D4—1182no—
1394C2×D4—1182no—
1395C2×D4—1182no—
1396C2×D4—1182no—
1397C2×D4—1182no—
1398C2×D4—11832no—
1399C2×D4—1182no—
1400C2×D4—1182no—
1401C2×D4—1182no—
1402C2×D4—1182no—
1403C2×D4—1182no—
1404C2×D4—1182no—
1405C2×D4—1182no—
1406C2×D4—1182no—
1407C2×D4—1182no—
1408C2×D4—1182no—
1409C2×D4—1182no—
1410C2×D4—1182no—
1411C2×D4—2361no—
1412C2×D4—2361no—
1413C2×D4—2361no—
1414C2×D4—2361no—
1415C2×D4—2361no—
1416C2×D4—2361no—
1417C2×D4—2361no—
1418C2×D4—2361no—
1419C2×D4—2361no—
1420C2×D4—2361no—
1421C2×D4—2361no—
1422C2×D4—2361no—
1423C2×D4—23616no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—41no—
1435C22×C4—41no—
1436C22×C4—41no—
1437C22×C4—41no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—41no—
1441C22×C4—416no—
1442C22×C4—591no—
1443C22×C4—591no—
1444C22×C4—591no—
1445C22×C4—591no—
1446C22×C4—594no—
1447C22×C4—591no—
1448C22×C4—591no—
1449C22×C4—591no—
1450C22×C4—591no—
1451C22×C4—591no—
1452C22×C4—591no—
1453C22×C4—591no—
1454C22×C4—591no—
1455C22×C4—591no—
1456C22×C4—1182no—
1457C22×C4—1182no—
1458C22×C4—1182no—
1459C22×C4—1182no—
1460C22×C4—1182no—
1461C22×C4—1182no—
1462C22×C4—1182no—
1463C22×C4—1182no—
1464C22×C4—1182no—
1465C22×C4—1182no—
1466C22×C4—1182no—
1467C22×C4—1182no—
1468C22×C4—1182no—
1469C22×C4—1182no—
1470C22×C4—1182no—
1471C22×C4—1182no—
1472C22×C4—2361no—
1473C22×C4—2361no—
1474C22×C4—2361no—
1475C22×C4—2361no—
1476C22×C4—2361no—
1477C22×C4—2361no—
1478C22×C4—2361no—
1479C22×C4—2361no—
1480C22×C4—2361no—
1481C22×C4—2361no—
1482C22×C4—2361no—
1483C22×C4—2361no—
1484C22×C4—23616no—
1485C22×C4—2361no—
1486C22×C4—2361no—
1487C22×C4—2361no—
1488C22×C4—2361no—
1489C22×C4D4×D5914yescomplemented
1490C22×C4C23×D5911yescharacteristic
1491C22×C4C23×D5911yescharacteristic
1492C22×C4C23×D5911yescharacteristic
1493C22×C4C23×D5911yescharacteristic
1494C22×C4C23×D5911yescharacteristic
1495C22×C4C23×D5911yescharacteristic
1496C22×C4C23×D5911yescharacteristic
1497C22×C4C23×D5911yescharacteristic
1498C22×C4C23×D5911yescharacteristic
1499C22×C4C23×D5911yescharacteristic
1500C4⋊C4—22no—
1501C4⋊C4—41no—
1502C4⋊C4—41no—
1503C4⋊C4—594no—
1504C4⋊C4—1182no—
1505C4⋊C4—1182no—
1506C4⋊C4—1182no—
1507C4⋊C4—1182no—
1508C4⋊C4—1182no—
1509C4⋊C4—1182no—
1510C4⋊C4—1182no—
1511C4⋊C4—1182no—
1512C4⋊C4—1182no—
1513C4⋊C4—2361no—
1514C4⋊C4—2361no—
1515C4⋊C4—2361no—
1516C4⋊C4—2361no—
1517C4⋊C4—2361no—
1518C4⋊C4—2361no—
1519C4⋊C4—2361no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—594no—
1533C22⋊C4—594no—
1534C22⋊C4—1182no—
1535C22⋊C4—1182no—
1536C22⋊C4—1182no—
1537C22⋊C4—1182no—
1538C22⋊C4—1182no—
1539C22⋊C4—1182no—
1540C22⋊C4—1182no—
1541C22⋊C4—1182no—
1542C22⋊C4—1182no—
1543C22⋊C4—1182no—
1544C22⋊C4—1182no—
1545C22⋊C4—1182no—
1546C22⋊C4—1182no—
1547C22⋊C4—1182no—
1548C22⋊C4—1182no—
1549C22⋊C4—1182no—
1550C22⋊C4—1182no—
1551C22⋊C4—1182no—
1552C22⋊C4—1182no—
1553C22⋊C4—1182no—
1554C22⋊C4—1182no—
1555C22⋊C4—1182no—
1556C22⋊C4—1182no—
1557C22⋊C4—1182no—
1558C22⋊C4—1182no—
1559C22⋊C4—1182no—
1560C22⋊C4—1182no—
1561C22⋊C4—2361no—
1562C22⋊C4—2361no—
1563C22⋊C4—2361no—
1564C22⋊C4—2361no—
1565C22⋊C4—2361no—
1566C22⋊C4—2361no—
1567C22⋊C4—2361no—
1568C22⋊C4—2361no—
1569C22⋊C4—2361no—
1570C22⋊C4—2361no—
1571C22⋊C4—2361no—
1572C22⋊C4—2361no—
1573C22⋊C4—2361no—
1574C22⋊C4—2361no—
1575C22⋊C4—2361no—
1576C42—594no—
1577C42—1182no—
1578C42—1182no—
1579C42—1182no—
1580C42—1182no—
1581C42—2361no—
1582C42—2361no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—28no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—592no—
1621C23—592no—
1622C23—592no—
1623C23—592no—
1624C23—1188no—
1625C23—1181no—
1626C23—1181no—
1627C23—1181no—
1628C23—1181no—
1629C23—1181no—
1630C23—1181no—
1631C23—1181no—
1632C23—1181no—
1633C23—1181no—
1634C23—1181no—
1635C23—1188no—
1636C23—1181no—
1637C23—1181no—
1638C23—1181no—
1639C23—1181no—
1640C23—1181no—
1641C23—1181no—
1642C23—1181no—
1643C23—4722no—
1644C23—4722no—
1645C23—4722no—
1646C23—4722no—
1647C23—2364no—
1648C23—2364no—
1649C23—2364no—
1650C23—2364no—
1651C23—2364no—
1652C23—2364no—
1653C23—2364no—
1654C23—2364no—
1655C23C2×D4×D5912yes—
1656C23#41×D5912yes—
1657C23#41×D5912yes—
1658C23#1427377212yes—
1659C23#1427377212yes—
1660C23C24×D5911yescharacteristic
1661Q8—4722no—
1662D4—44no—
1663D4—44no—
1664D4—82no—
1665D4—82no—
1666D4—82no—
1667D4—82no—
1668D4—82no—
1669D4—1188no—
1670D4—1188no—
1671D4—1188no—
1672D4—1188no—
1673D4—4722no—
1674D4—4722no—
1675D4—4722no—
1676D4—2364no—
1677D4—2364no—
1678D4—2364no—
1679D4—2364no—
1680D4—2364no—
1681C2×C4—28no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—592no—
1715C2×C4—592no—
1716C2×C4—592no—
1717C2×C4—592no—
1718C2×C4—1188no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—1181no—
1726C2×C4—1181no—
1727C2×C4—1181no—
1728C2×C4—1181no—
1729C2×C4—1181no—
1730C2×C4—1181no—
1731C2×C4—1181no—
1732C2×C4—1181no—
1733C2×C4—1181no—
1734C2×C4—1181no—
1735C2×C4—1181no—
1736C2×C4—1181no—
1737C2×C4—1181no—
1738C2×C4—1181no—
1739C2×C4—1181no—
1740C2×C4—1181no—
1741C2×C4—1181no—
1742C2×C4—1181no—
1743C2×C4—1181no—
1744C2×C4—1181no—
1745C2×C4—1181no—
1746C2×C4—1181no—
1747C2×C4—1181no—
1748C2×C4—1181no—
1749C2×C4—1181no—
1750C2×C4—1181no—
1751C2×C4—1181no—
1752C2×C4—1181no—
1753C2×C4—1181no—
1754C2×C4—4722no—
1755C2×C4—4722no—
1756C2×C4—4722no—
1757C2×C4—2364no—
1758C2×C4—2364no—
1759C2×C4—2364no—
1760C2×C4—2364no—
1761C2×C4—2364no—
1762C2×C4—2364no—
1763C2×C4—2364no—
1764C2×C4C2×D4×D5912yes—
1765C2×C4C2×D4×D5912yes—
1766C2×C4#1427377212yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—416no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—594no—
1803C22—1182no—
1804C22—1182no—
1805C22—1182no—
1806C22—1182no—
1807C22—1182no—
1808C22—1182no—
1809C22—1182no—
1810C22—1182no—
1811C22—1182no—
1812C22—4728no—
1813C22—23616no—
1814C22—2361no—
1815C22—2361no—
1816C22—2361no—
1817C22—2361no—
1818C22—2361no—
1819C22—2361no—
1820C22—2361no—
1821C22—2361no—
1822C22—2361no—
1823C22—2361no—
1824C22—2361no—
1825C22#1683798414yescomplemented
1826C22C22×D4×D5911yescharacteristic
1827C22C2×#41×D5911yescharacteristic
1828C22C2×#41×D5911yescharacteristic
1829C22C2×#1427377211yescharacteristic
1830C22C2×#1427377211yescharacteristic
1831C22C2×#1427377211yescharacteristic
1832C22#1683823811yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—1182no—
1844C4—1182no—
1845C4—1182no—
1846C4—1182no—
1847C4—2361no—
1848C4—2361no—
1849C4—2361no—
1850C4—2361no—
1851C4—2361no—
1852C4—2361no—
1853C4—2361no—
1854C4—2361no—
1855C4—2361no—
1856C2—24no—
1857C2—42no—
1858C2—42no—
1859C2—81no—
1860C2—81no—
1861C2—1184no—
1862C2—4721no—
1863C2—2362no—
1864C2#525×D5911yescharacteristic
1865C2C2×#1683798411yescharacteristic
1866C2#2143750311yescharacteristic
1867C2#2143772511yescharacteristic
1868C2#2143776111yescharacteristic
1869C2#2143802211yescharacteristic
1870C2#2143812211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2847C2
hypercenter#2847D59
hypocenterC59#34990
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. C2×#16837984C2semidirect
2. C22×C4×C22⋊D59C2semidirect
3. #21432409C2semidirect
4. #21432393C2semidirect
5. #21432388C2semidirect
6. #21429997C2semidirect
7. #21429981C2semidirect
8. #21429952C2semidirect
9. #21429937C2semidirect
10. #21428364C2semidirect
11. #21428221C2semidirect
12. #21428154C2semidirect
13. #21428032C2semidirect
14. #21427993C2semidirect
15. #21427992C2semidirect
16. #21427927C2semidirect
17. #21427843C2semidirect
18. #21427827C2semidirect
19. #21427764C2semidirect
20. #21427636C2semidirect
21. #21427629C2semidirect
22. #21427557C2semidirect
23. #21427467C2semidirect
24. #21427466C2semidirect
25. #21427407C2semidirect
26. #21426798C2semidirect
27. #21426752C2semidirect
28. #21426731C2semidirect
29. #21426601C2semidirect
30. #386×D59C2semidirect
31. C59×#2847C2semidirect
36. C2×#14273722C22semidirect
37. C2×#14273720C22semidirect
38. C2×#14273714C22semidirect
39. C2×#14273713C22semidirect
40. C2×#14273710C22semidirect
41. C2×#14273710C22semidirect
42. C2×#14273708C22semidirect
43. C2×#14273705C22semidirect
44. C2×#14273704C22semidirect
46. C2×#14273699C22semidirect
53. C2×#14273695C22semidirect
54. C2×D4×Dic59C22semidirect
60. C2×C4×C22⋊D59C22semidirect
61. C2×C4×C22⋊D59C22semidirect
62. C2×C4×C22⋊D59C22semidirect
63. C2×C4×C22⋊D59C22semidirect
64. C2×(C22⋊D59)⋊C4C22semidirect
65. C2×(C22⋊D59)⋊C4C22semidirect
66. C22×Dic59⋊C4C22semidirect
67. C22×C22⋊Dic59C22semidirect
70. C2×C22⋊C4×D59C22semidirect
71. C2×C22⋊C4×D59C22semidirect
72. C22×C4×Dic59C22semidirect
73. #16837344C22semidirect
74. #16837340C22semidirect
75. #16837338C22semidirect
76. #16837337C22semidirect
77. #16837332C22semidirect
78. #16837331C22semidirect
79. #16837330C22semidirect
80. #16837327C22semidirect
81. #16837326C22semidirect
82. #16837325C22semidirect
83. #16837324C22semidirect
84. #16837324C22semidirect
85. #16837319C22semidirect
86. #16837318C22semidirect
87. #16837318C22semidirect
88. #16837318C22semidirect
89. #16837317C22semidirect
90. #16837316C22semidirect
91. #16837316C22semidirect
92. #16837316C22semidirect
93. #16837316C22semidirect
94. #16837315C22semidirect
95. #16837314C22semidirect
98. #16837311C22semidirect
101. #16837310C22semidirect
102. #16837310C22semidirect
103. #16837310C22semidirect
104. #16837310C22semidirect
105. #16837306C22semidirect
106. #16837305C22semidirect
107. #16837302C22semidirect
108. #16837302C22semidirect
109. #16837296C22semidirect
110. #16837296C22semidirect
111. #16837296C22semidirect
112. #16837296C22semidirect
113. #16837295C22semidirect
114. #16837295C22semidirect
115. #16837294C22semidirect
116. #16837291C22semidirect
117. #16837291C22semidirect
118. #16837290C22semidirect
119. #16837290C22semidirect
120. #16837290C22semidirect
121. #16837289C22semidirect
122. #16837287C22semidirect
123. #16837285C22semidirect
124. #16837284C22semidirect
125. #16837283C22semidirect
126. #16837283C22semidirect
130. #16837282C22semidirect
131. #16837282C22semidirect
134. #16837281C22semidirect
135. #16837281C22semidirect
136. #16837280C22semidirect
137. #16837280C22semidirect
144. #16837278C22semidirect
145. #16837278C22semidirect
146. #16837278C22semidirect
147. #16837278C22semidirect
148. #16837278C22semidirect
149. #16837277C22semidirect
150. #16837276C22semidirect
151. #16837276C22semidirect
152. #16837276C22semidirect
153. #16837275C22semidirect
154. #16837275C22semidirect
155. #16837275C22semidirect
156. #16837275C22semidirect
157. #16837274C22semidirect
158. #16837274C22semidirect
159. #16837273C22semidirect
160. #16837273C22semidirect
161. #16837269C22semidirect
162. #16837266C22semidirect
163. #16837265C22semidirect
164. #16837265C22semidirect
165. #16837261C22semidirect
166. #16837258C22semidirect
168. #16837257C22semidirect
169. C22⋊C4×Dic59C22semidirect
170. #16837249C22semidirect
171. #16837249C22semidirect
172. #95×D59C22semidirect
173. #95×D59C22semidirect
174. C24×C4×C59C22semidirect
176. C2×#121×C59C22semidirect
177. C2×#121×C59C22semidirect
179. C2×#120×C59C22semidirect
181. C59×#386C22semidirect
182. C59×#386C22semidirect
183. C59×#386C22semidirect
184. C59×#386C22semidirect
185. C59×#386C22semidirect
186. C59×#380C22semidirect
187. C59×#380C22semidirect
188. C59×#380C22semidirect
250. C4×C22⋊D59D4semidirect
465. C22×C4×C59C2×D4semidirect
601. C22⋊Dic59C2×D4semidirect
639. Dic59⋊C4C2×D4semidirect
646. C4×Dic59C2×D4semidirect
867. C22×C59#538semidirect
926. #2847D59semidirect
970. C24×C4C2×D59semidirect
986. C2×#121C2×D59semidirect
987. C2×#121C2×D59semidirect
994. C2×#120C2×D59semidirect
1091. #386C2×D59semidirect
1092. #386C2×D59semidirect
1093. #386C2×D59semidirect
1094. #386C2×D59semidirect
1095. #386C2×D59semidirect
1113. #380C2×D59semidirect
1114. #380C2×D59semidirect
1115. #380C2×D59semidirect
1124. C59#34990semidirect
1489. C22×C4D4×D59semidirect
1825. C22#16837984semidirect

Maximal subgroups

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

subgroupindex
C2×#168379842
C22×C4×C22⋊D592
#214324092
#214323932
#214323882
#214299972
#214299812
#214299522
#214299372
#214283642
#214282212
#214281542
#214280322
#214279932
#214279922
#214279272
#214278432
#214278272
#214277642
#214276362
#214276292
#214275572
#214274672
#214274662
#214274072
#214267982
#214267522
#214267312
#214266012
#386×D592
C59×#28472
#3499059