Finite Group Databasebeta

← #28761359

Subgroups — #28761359

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×#16837989C211yesmaximal, characteristic, complemented
2C22×D4×Dic59C211yesmaximal, characteristic, complemented
3#21432413C211yesmaximal, characteristic, complemented
4#21432393C211yesmaximal, characteristic, complemented
5#21432390C211yesmaximal, characteristic, complemented
6#21432376C211yesmaximal, characteristic, complemented
7#21429992C211yesmaximal, characteristic, complemented
8#21429979C211yesmaximal, characteristic, complemented
9#21429947C211yesmaximal, characteristic, complemented
10#21429934C211yesmaximal, characteristic, complemented
11#21428354C211yesmaximal, characteristic, complemented
12#21428219C211yesmaximal, characteristic, complemented
13#21428140C211yesmaximal, characteristic, complemented
14#21428026C211yesmaximal, characteristic, complemented
15#21427981C211yesmaximal, characteristic, complemented
16#21427981C211yesmaximal, characteristic, complemented
17#21427924C211yesmaximal, characteristic, complemented
18#21427842C211yesmaximal, characteristic, complemented
19#21427829C211yesmaximal, characteristic, complemented
20#21427757C211yesmaximal, characteristic, complemented
21#21427638C211yesmaximal, characteristic, complemented
22#21427636C211yesmaximal, characteristic, complemented
23#21427556C211yesmaximal, characteristic, complemented
24#21427471C211yesmaximal, characteristic, complemented
25#21427406C211yesmaximal, characteristic, complemented
26#21426801C211yesmaximal, characteristic, complemented
27#21426759C211yesmaximal, characteristic, complemented
28#21426722C211yesmaximal, characteristic, complemented
29#120×Dic59C211yesmaximal, characteristic, complemented
30C2×#16837279C211yesmaximal, characteristic, complemented
31C59×#2410C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C24×Dic59C2211yescharacteristic
34C24×Dic59C2211yescharacteristic, complemented
35#16837989—28no—
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273722C2211yescharacteristic, complemented
38C2×#14273713C2211yescharacteristic, complemented
39C2×#14273713C2211yescharacteristic, complemented
40C2×#14273711C2211yescharacteristic, complemented
41C2×#14273711C2211yescharacteristic, complemented
42C2×#14273711C2211yescharacteristic, complemented
43C2×#14273706C2211yescharacteristic, complemented
44C2×#14273704C2211yescharacteristic, complemented
45C2×#14273699C2211yescharacteristic
46C2×#14273699C2211yescharacteristic
47C2×#14273699C2211yescharacteristic, complemented
48C2×#14273699C2211yescharacteristic, complemented
49C2×#14273699C2211yescharacteristic, complemented
50C2×#14273696C2211yescharacteristic
51C2×#14273696C2211yescharacteristic
52C2×#14273695C2211yescharacteristic
53C2×#14273695C2211yescharacteristic
54C2×#14273695C2211yescharacteristic, complemented
55C2×D4×Dic59—28no—
56C2×D4×Dic59C2211yescharacteristic
57C2×D4×Dic59C2211yescharacteristic
58C2×D4×Dic59C2211yescharacteristic
59C2×D4×Dic59C2211yescharacteristic
60C2×D4×Dic59C2211yescharacteristic, complemented
61C2×D4×Dic59C2211yescharacteristic, complemented
62C2×D4×Dic59C2211yescharacteristic, complemented
63C2×D4×Dic59C2211yescharacteristic, complemented
64C2×D4×Dic59C2211yescharacteristic, complemented
65C2×D4×Dic59C2211yescharacteristic, complemented
66C2×D4×Dic59C2211yescharacteristic, complemented
67C22×C4⋊Dic59C2211yescharacteristic, complemented
68C22×C22⋊Dic59C2211yescharacteristic
69C22×C22⋊Dic59C2211yescharacteristic, complemented
70C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
71C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
72C22×C4×Dic59C2211yescharacteristic, complemented
73#16837344C2211yescharacteristic, complemented
74#16837341C2211yescharacteristic, complemented
75#16837339C2211yescharacteristic, complemented
76#16837338C2211yescharacteristic, complemented
77#16837334C2211yescharacteristic, complemented
78#16837330C2211yescharacteristic, complemented
79#16837329C2211yescharacteristic, complemented
80#16837327C2211yescharacteristic, complemented
81#16837325C2211yescharacteristic, complemented
82#16837325C2211yescharacteristic, complemented
83#16837325C2211yescharacteristic, complemented
84#16837324C2211yescharacteristic, complemented
85#16837318C2211yescharacteristic, complemented
86#16837318C2211yescharacteristic, complemented
87#16837318C2211yescharacteristic, complemented
88#16837317C2211yescharacteristic, complemented
89#16837317C2211yescharacteristic, complemented
90#16837317C2211yescharacteristic, complemented
91#16837316C2211yescharacteristic, complemented
92#16837314C2211yescharacteristic, complemented
93#16837314C2211yescharacteristic, complemented
94#16837310C2211yescharacteristic
95#16837310C2211yescharacteristic
96#16837310C2211yescharacteristic
97#16837310C2211yescharacteristic
98#16837310C2211yescharacteristic, complemented
99#16837310C2211yescharacteristic, complemented
100#16837310C2211yescharacteristic, complemented
101#16837306C2211yescharacteristic, complemented
102#16837302C2211yescharacteristic, complemented
103#16837302C2211yescharacteristic, complemented
104#16837302C2211yescharacteristic, complemented
105#16837296C2211yescharacteristic, complemented
106#16837295C2211yescharacteristic, complemented
107#16837295C2211yescharacteristic, complemented
108#16837294C2211yescharacteristic, complemented
109#16837294C2211yescharacteristic, complemented
110#16837294C2211yescharacteristic, complemented
111#16837294C2211yescharacteristic, complemented
112#16837292C2211yescharacteristic, complemented
113#16837291C2211yescharacteristic, complemented
114#16837291C2211yescharacteristic, complemented
115#16837290C2211yescharacteristic, complemented
116#16837290C2211yescharacteristic, complemented
117#16837288C2211yescharacteristic, complemented
118#16837288C2211yescharacteristic, complemented
119#16837287C2211yescharacteristic, complemented
120#16837285C2211yescharacteristic, complemented
121#16837285C2211yescharacteristic, complemented
122#16837283C2211yescharacteristic, complemented
123#16837282C2211yescharacteristic
124#16837282C2211yescharacteristic
125#16837282C2211yescharacteristic, complemented
126#16837282C2211yescharacteristic, complemented
127#16837282C2211yescharacteristic, complemented
128#16837282C2211yescharacteristic, complemented
129#16837282C2211yescharacteristic, complemented
130#16837282C2211yescharacteristic, complemented
131#16837282C2211yescharacteristic, complemented
132#16837281C2211yescharacteristic
133#16837281C2211yescharacteristic
134#16837279C2211yescharacteristic
135#16837279C2211yescharacteristic
136#16837279C2211yescharacteristic
137#16837279C2211yescharacteristic
138#16837279C2211yescharacteristic
139#16837279C2211yescharacteristic
140#16837279C2211yescharacteristic, complemented
141#16837279C2211yescharacteristic, complemented
142#16837279C2211yescharacteristic, complemented
143#16837279C2211yescharacteristic, complemented
144#16837279C2211yescharacteristic, complemented
145#16837279C2211yescharacteristic, complemented
146#16837279C2211yescharacteristic, complemented
147#16837279C2211yescharacteristic, complemented
148#16837277C2211yescharacteristic, complemented
149#16837277C2211yescharacteristic, complemented
150#16837277C2211yescharacteristic, complemented
151#16837277C2211yescharacteristic, complemented
152#16837277C2211yescharacteristic, complemented
153#16837277C2211yescharacteristic, complemented
154#16837277C2211yescharacteristic, complemented
155#16837275C2211yescharacteristic, complemented
156#16837275C2211yescharacteristic, complemented
157#16837274C2211yescharacteristic, complemented
158#16837274C2211yescharacteristic, complemented
159#16837269C2211yescharacteristic, complemented
160#16837266C2211yescharacteristic, complemented
161#16837263C2211yescharacteristic, complemented
162#16837263C2211yescharacteristic, complemented
163#16837262C2211yescharacteristic, complemented
164#16837260C2211yescharacteristic, complemented
165#16837260C2211yescharacteristic, complemented
166#16837260C2211yescharacteristic, complemented
167#16837258C2211yescharacteristic
168#16837257C2211yescharacteristic, complemented
169C22⋊C4×Dic59C2211yescharacteristic, complemented
170C22⋊C4×Dic59C2211yescharacteristic, complemented
171C22⋊C4×Dic59C2211yescharacteristic, complemented
172C2×C59⋊#95C2211yescharacteristic, complemented
173C2×C59⋊#95C2211yescharacteristic, complemented
174C23×D4×C59C2211yescharacteristic
175C2×#121×C59C2211yescharacteristic
176C2×#121×C59C2211yescharacteristic
177C2×#120×C59C2211yescharacteristic
178C2×#120×C59C2211yescharacteristic, complemented
179C22×C22⋊C4×C59C2211yescharacteristic
180C59×#394C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic, complemented
182C59×#392C2211yescharacteristic, complemented
183C59×#392C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic
186C59×#386C2211yescharacteristic, complemented
187C59×#385C2211yescharacteristic, complemented
188C59×#379C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×C22⋊D59—24no—
192C22×C22⋊D59—42no—
193C22×C22⋊D59—42no—
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C23×Dic59—24no—
205C23×Dic59—24no—
206C23×Dic59—42no—
207C23×Dic59—42no—
208C23×Dic59—42no—
209C23×Dic59—42no—
210C23×Dic59C2311yescharacteristic
211C23×Dic59C2311yescharacteristic
212C23×Dic59C2311yescharacteristic
213C23×Dic59C2311yescharacteristic
214C23×Dic59C2311yescharacteristic
215C23×Dic59C2311yescharacteristic
216C23×Dic59C2311yescharacteristic
217C23×Dic59C2311yescharacteristic
218C23×Dic59C2311yescharacteristic
219C23×Dic59C2311yescharacteristic
220C23×Dic59C2311yescharacteristic
221C23×Dic59C2311yescharacteristic
222C23×Dic59C2311yescharacteristic
223C23×Dic59C2311yescharacteristic
224#14273722—24no—
225#14273722—24no—
226#14273713—24no—
227#14273713—24no—
228#14273711—24no—
229#14273711—24no—
230#14273711—42no—
231#14273706—24no—
232#14273704—42no—
233#14273699—24no—
234#14273699—24no—
235#14273699—42no—
236#14273699—42no—
237#14273699—42no—
238#14273696—42no—
239#14273696—42no—
240#14273695—24no—
241#14273695—24no—
242#14273695—24no—
243D4×Dic59—24no—
244D4×Dic59—24no—
245D4×Dic59—24no—
246D4×Dic59—24no—
247D4×Dic59—24no—
248D4×Dic59—24no—
249D4×Dic59—24no—
250D4×Dic59—24no—
251D4×Dic59—42no—
252D4×Dic59—42no—
253D4×Dic59D418yescomplemented
254C2×C4⋊Dic59—24no—
255C2×C4⋊Dic59C2311yescharacteristic
256C2×C4⋊Dic59C2311yescharacteristic
257C2×C4⋊Dic59C2311yescharacteristic
258C2×C4⋊Dic59C2311yescharacteristic
259C2×C4⋊Dic59C2311yescharacteristic
260C2×C4⋊Dic59C2311yescharacteristic
261C2×C4⋊Dic59C2311yescharacteristic
262C2×C4⋊Dic59C2311yescharacteristic
263C2×C4⋊Dic59C2311yescharacteristic
264C2×C4⋊Dic59C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×C22⋊Dic59—24no—
274C2×C22⋊Dic59—24no—
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×C22⋊Dic59C2311yescharacteristic
296C2×C22⋊Dic59C2311yescharacteristic
297C2×C22⋊Dic59C2311yescharacteristic
298C2×(C2×D59)⋊C4—24no—
299C2×(C2×D59)⋊C4—42no—
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
317C2×(C2×D59)⋊C4C2311yescharacteristic
318C2×C4×Dic59—24no—
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
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
354C25×C59C2311yescharacteristic
355C25×C59C2311yescharacteristic
356C22×D4×C59—24no—
357C22×D4×C59—24no—
358C22×D4×C59—24no—
359C22×D4×C59C2311yescharacteristic
360C22×D4×C59C2311yescharacteristic
361C22×D4×C59C2311yescharacteristic
362C22×D4×C59C2311yescharacteristic
363C22×D4×C59C2311yescharacteristic
364C22×D4×C59C2311yescharacteristic
365C22×D4×C59C2311yescharacteristic
366C22×D4×C59C2311yescharacteristic
367C22×D4×C59C2311yescharacteristic
368C23×C4×C59C2311yescharacteristic
369C23×C4×C59C2311yescharacteristic
370C23×C4×C59C2311yescharacteristic
371#121×C59—24no—
372#121×C59—24no—
373#120×C59—24no—
374#120×C59—42no—
375C2×C4⋊C4×C59C2311yescharacteristic
376C2×C4⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59—42no—
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×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
391C2×C22⋊C4×C59C2311yescharacteristic
392C2×C22⋊C4×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—22no—
403C24×C59—22no—
404C24×C59—22no—
405C24×C59—22no—
406C24×C59—41no—
407C24×C59—41no—
408C24×C59—41no—
409C24×C59—41no—
410C24×C59#4114yes—
411C24×C59C2411yescharacteristic
412C24×C59C2411yescharacteristic
413C24×C59C2411yescharacteristic
414C24×C59C2411yescharacteristic
415C24×C59C2411yescharacteristic
416C24×C59C2411yescharacteristic
417C23×D59—22no—
418C23×D59—22no—
419C23×D59—22no—
420C23×D59—41no—
421C23×D59—41no—
422C23×D59—41no—
423C23×D59—41no—
424C23×D59C2411yescharacteristic
425C23×D59C2411yescharacteristic
426C2×D4×C59—232no—
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—22no—
438C2×D4×C59—22no—
439C2×D4×C59—22no—
440C2×D4×C59—22no—
441C2×D4×C59—22no—
442C2×D4×C59—22no—
443C2×D4×C59—22no—
444C2×D4×C59—22no—
445C2×D4×C59—22no—
446C2×D4×C59—41no—
447C2×D4×C59—41no—
448C2×D4×C59—41no—
449C2×D4×C59—41no—
450C2×D4×C59—41no—
451C2×D4×C59—41no—
452C2×D4×C59C2×D414yes—
453C2×D4×C59#4114yes—
454C22×C4×C59—22no—
455C22×C4×C59—22no—
456C22×C4×C59—22no—
457C22×C4×C59—22no—
458C22×C4×C59—22no—
459C22×C4×C59—41no—
460C22×C4×C59—41no—
461C22×C4×C59—41no—
462C22×C4×C59—41no—
463C22×C4×C59C2411yescharacteristic
464C22×C4×C59C2411yescharacteristic
465C22×C4×C59C2411yescharacteristic
466C22×C4×C59C2411yescharacteristic
467C22×C4×C59C2411yescharacteristic
468C22×C4×C59C2411yescharacteristic
469C22×C4×C59C2411yescharacteristic
470C22×C4×C59C2411yescharacteristic
471C22×C4×C59C2411yescharacteristic
472C2×C22⋊D59—22no—
473C2×C22⋊D59—22no—
474C2×C22⋊D59—22no—
475C2×C22⋊D59—22no—
476C2×C22⋊D59—22no—
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—41no—
487C2×C22⋊D59—41no—
488C2×C22⋊D59—41no—
489C2×C22⋊D59—41no—
490C2×C22⋊D59—41no—
491C2×C22⋊D59—41no—
492C2×C22⋊D59—41no—
493C2×C22⋊D59—41no—
494C2×C22⋊D59—41no—
495C2×C22⋊D59—41no—
496C2×C22⋊D59—41no—
497C2×C22⋊D59—41no—
498C2×C22⋊D59—41no—
499C2×C22⋊D59—41no—
500C2×C22⋊D59—41no—
501C2×C22⋊D59—41no—
502C2×C22⋊D59—416no—
503C22×Dic59—22no—
504C22×Dic59—22no—
505C22×Dic59—22no—
506C22×Dic59—22no—
507C22×Dic59—22no—
508C22×Dic59—22no—
509C22×Dic59—22no—
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—22no—
519C22×Dic59—22no—
520C22×Dic59—22no—
521C22×Dic59—22no—
522C22×Dic59—22no—
523C22×Dic59—22no—
524C22×Dic59—41no—
525C22×Dic59—41no—
526C22×Dic59—41no—
527C22×Dic59—41no—
528C22×Dic59—41no—
529C22×Dic59—41no—
530C22×Dic59—41no—
531C22×Dic59—41no—
532C22×Dic59—41no—
533C22×Dic59—41no—
534C22×Dic59—41no—
535C22×Dic59—41no—
536C22×Dic59—41no—
537C22×Dic59—41no—
538C22×Dic59—41no—
539C22×Dic59—41no—
540C22×Dic59—41no—
541C22×Dic59—41no—
542C22×Dic59—41no—
543C22×Dic59—416no—
544C22×Dic59—416no—
545C22×Dic59C2×D414yes—
546C22×Dic59C2×D414yescomplemented
547C22×Dic59C2411yescharacteristic
548C22×Dic59C2411yescharacteristic
549C22×Dic59C2411yescharacteristic
550C22×Dic59C2411yescharacteristic
551C22×Dic59C2411yescharacteristic
552C22×Dic59C2411yescharacteristic
553C22×Dic59C2411yescharacteristic
554C22×Dic59C2411yescharacteristic
555C22×Dic59C2411yescharacteristic
556C22×Dic59C2411yescharacteristic
557C22×Dic59C2411yescharacteristic
558C22×Dic59C2411yescharacteristic
559C22×Dic59C2411yescharacteristic
560C22×Dic59C2411yescharacteristic
561C2×Dic118—22no—
562C2×Dic118—41no—
563C2×Dic118—41no—
564C4⋊C4×C59—22no—
565C4⋊C4×C59—22no—
566C22⋊C4×C59—22no—
567C22⋊C4×C59—22no—
568C22⋊C4×C59—22no—
569C22⋊C4×C59—22no—
570C22⋊C4×C59—22no—
571C22⋊C4×C59—22no—
572C22⋊C4×C59—22no—
573C22⋊C4×C59—22no—
574C22⋊C4×C59—22no—
575C22⋊C4×C59—41no—
576C22⋊C4×C59—41no—
577C22⋊C4×C59—41no—
578C22⋊C4×C59—41no—
579C22⋊C4×C59—41no—
580C22⋊C4×C59—41no—
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⋊Dic59—41no—
602C22⋊Dic59C2×D414yes—
603C22⋊Dic59C2×D414yescomplemented
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—22no—
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—
622C4⋊Dic59—22no—
623C4⋊Dic59—22no—
624C4⋊Dic59—22no—
625C4⋊Dic59—22no—
626C4⋊Dic59—22no—
627C4⋊Dic59—22no—
628C4⋊Dic59—41no—
629C4⋊Dic59—41no—
630C4⋊Dic59—41no—
631C4⋊Dic59C2×D414yescomplemented
632Dic59⋊C4—22no—
633Dic59⋊C4—22no—
634Dic59⋊C4—41no—
635Dic59⋊C4—41no—
636Dic59⋊C4—41no—
637Dic59⋊C4—41no—
638Dic59⋊C4—41no—
639Dic59⋊C4—41no—
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—21no—
652C23×C59—21no—
653C23×C59—21no—
654C23×C59—21no—
655C23×C59—28no—
656C23×C59—28no—
657C23×C59—28no—
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—21no—
679C23×C59—21no—
680C23×C59—21no—
681C23×C59—21no—
682C23×C59—21no—
683C23×C59—44no—
684C23×C59—44no—
685C23×C59—44no—
686C23×C59—44no—
687C23×C59—44no—
688C23×C59—44no—
689C23×C59—44no—
690C23×C59—44no—
691C23×C59—44no—
692C23×C59—44no—
693C23×C59—44no—
694C23×C59C22×D412yes—
695C23×C59C22×D412yes—
696C23×C59C2×#4112yes—
697C23×C59C2×#4112yes—
698C23×C59C2×#4112yes—
699C23×C59C2×#4112yes—
700C23×C59C2×#4112yes—
701C23×C59H(5,𝔽2)12yes—
702C23×C59H(5,𝔽2)12yes—
703C23×C59C2511yescharacteristic
704C22×D59—21no—
705C22×D59—21no—
706C22×D59—21no—
707C22×D59—21no—
708C22×D59—21no—
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—21no—
718C22×D59—44no—
719C22×D59—44no—
720C22×D59—44no—
721C22×D59—82no—
722C22×D59—82no—
723C22×D59—82no—
724C22×D59—82no—
725D4×C59—28no—
726D4×C59—28no—
727D4×C59—28no—
728D4×C59—28no—
729D4×C59—44no—
730D4×C59—44no—
731D4×C59—44no—
732D4×C59—82no—
733D4×C59—82no—
734C2×C4×C59—28no—
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—82no—
761C2×C4×C59—82no—
762C2×C4×C59C22×D412yes—
763C2×C4×C59C2×#4112yes—
764C22⋊D59—44no—
765C22⋊D59—44no—
766C22⋊D59—44no—
767C22⋊D59—44no—
768C22⋊D59—82no—
769C22⋊D59—82no—
770C22⋊D59—82no—
771C22⋊D59—82no—
772C22⋊D59—82no—
773C22⋊D59—82no—
774C2×Dic59—28no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—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—44no—
813C2×Dic59—44no—
814C2×Dic59—44no—
815C2×Dic59—44no—
816C2×Dic59—44no—
817C2×Dic59—44no—
818C2×Dic59—44no—
819C2×Dic59—44no—
820C2×Dic59—44no—
821C2×Dic59—44no—
822C2×Dic59—44no—
823C2×Dic59—44no—
824C2×Dic59—82no—
825C2×Dic59C22×D412yes—
826C2×Dic59C22×D412yes—
827C2×Dic59C22×D412yes—
828C2×Dic59C22×D412yes—
829C2×Dic59H(5,𝔽2)12yes—
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—22no—
845C22×C59—22no—
846C22×C59—22no—
847C22×C59—22no—
848C22×C59—22no—
849C22×C59—22no—
850C22×C59—22no—
851C22×C59—22no—
852C22×C59—22no—
853C22×C59—416no—
854C22×C59—416no—
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—41no—
868C22×C59—41no—
869C22×C59—41no—
870C22×C59—41no—
871C22×C59—41no—
872C22×C59—41no—
873C22×C59—41no—
874C22×C59#52514yes—
875C22×C59#53814yescomplemented
876C22×C59C23×D411yescharacteristic
877C22×C59C22×#4111yescharacteristic
878C22×C59C22×#4111yescharacteristic
879C22×C59C2×H(5,𝔽2)11yescharacteristic
880C22×C59C2×H(5,𝔽2)11yescharacteristic
881C22×C59C2×H(5,𝔽2)11yescharacteristic
882C22×C59#58511yescharacteristic
883C2×D59—41no—
884C2×D59—41no—
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—41no—
897C2×D59—88no—
898C4×C59—22no—
899C4×C59—22no—
900C4×C59—41no—
901C4×C59—41no—
902C4×C59—41no—
903C4×C59—41no—
904C4×C59—41no—
905C4×C59—41no—
906C4×C59—41no—
907Dic59—22no—
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#2847—591no—
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#2410D5911yescharacteristic, complemented
946#2403—591no—
947#2325—591no—
948#2321—591no—
949#2318—591no—
950C4×#120—591no—
951C2×#386—591no—
952C2×C59—24no—
953C2×C59—24no—
954C2×C59—42no—
955C2×C59—42no—
956C2×C59—42no—
957C2×C59—81no—
958C2×C59C2×#52511yescharacteristic
959C2×C59C2×#53811yescharacteristic
960C2×C59#345911yescharacteristic
961C2×C59#348411yescharacteristic
962C2×C59#348811yescharacteristic
963C2×C59#351311yescharacteristic
964C2×C59#351911yescharacteristic
965D59—81no—
966D59—81no—
967C23×D4—591no—
968C23×D4C2×D5911yescharacteristic
969C24×C4—591no—
970C24×C4—591no—
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×#121—591no—
986C2×#121C2×D5911yescharacteristic
987C2×#121C2×D5911yescharacteristic
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⋊C4C2×D5911yescharacteristic
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#394C2×D5911yescharacteristic, complemented
1034#394C2×D5911yescharacteristic, complemented
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#392C2×D5911yescharacteristic, complemented
1045#392C2×D5911yescharacteristic, complemented
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#386—591no—
1091#386—591no—
1092#386—591no—
1093#386C2×D5911yescharacteristic
1094#386C2×D5911yescharacteristic
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#385C2×D5911yescharacteristic, complemented
1108#383—591no—
1109#382—591no—
1110#381—591no—
1111#381—591no—
1112#380—591no—
1113#380—591no—
1114#380—591no—
1115#380—591no—
1116#379—591no—
1117#379—591no—
1118#379C2×D5911yescharacteristic, complemented
1119C4×C22⋊C4—591no—
1120C4×C22⋊C4—591no—
1121C4×C22⋊C4—591no—
1122C2×#95—591no—
1123C2×#95—591no—
1124C59#3499011yescharacteristic, complemented, Sylow
1125C25—591no—
1126C25C22×D5911yescharacteristic
1127C25C22×D5911yescharacteristic
1128C22×Q8—591no—
1129C22×D4—24no—
1130C22×D4—24no—
1131C22×D4—24no—
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—591no—
1142C22×D4—1184no—
1143C22×D4—2362no—
1144C22×D4—2362no—
1145C22×D4C22×D5911yescharacteristic
1146C22×D4C22×D5911yescharacteristic
1147C22×D4C22×D5911yescharacteristic
1148C22×D4C22×D5911yescharacteristic
1149C22×D4C22×D5911yescharacteristic
1150C22×D4C22×D5911yescharacteristic
1151C22×D4C22×D5911yescharacteristic
1152C22×D4C22×D5911yescharacteristic
1153C22×D4C22×D5911yescharacteristic
1154C23×C4—591no—
1155C23×C4—591no—
1156C23×C4—591no—
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—1184no—
1170C23×C4—2362no—
1171C23×C4—2362no—
1172C23×C4—2362no—
1173C23×C4—2362no—
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—24no—
1188#121—1184no—
1189#121—1184no—
1190#121—2362no—
1191#121—2362no—
1192#121—2362no—
1193#120—24no—
1194#120—42no—
1195#120—1184no—
1196#120—1184no—
1197#120—1184no—
1198#120—2362no—
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—591no—
1229C2×C4⋊C4—1184no—
1230C2×C4⋊C4C22×D5911yescharacteristic
1231C2×C4⋊C4C22×D5911yescharacteristic
1232C2×C22⋊C4—42no—
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—1184no—
1275C2×C22⋊C4—1184no—
1276C2×C22⋊C4—1184no—
1277C2×C22⋊C4—2362no—
1278C2×C22⋊C4C22×D5911yescharacteristic
1279C2×C22⋊C4C22×D5911yescharacteristic
1280C2×C22⋊C4C22×D5911yescharacteristic
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#95—591no—
1328#95—591no—
1329#95C22×D5911yescharacteristic
1330#95C22×D5911yescharacteristic
1331#95C22×D5911yescharacteristic
1332#95C22×D5911yescharacteristic
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—22no—
1341C24—22no—
1342C24—41no—
1343C24—41no—
1344C24—41no—
1345C24—41no—
1346C24—591no—
1347C24—591no—
1348C24—1182no—
1349C24—1182no—
1350C24—1182no—
1351C24—2361no—
1352C24—2361no—
1353C24—2361no—
1354C24—2361no—
1355C24#1174568714yes—
1356C24C23×D5911yescharacteristic
1357C24C23×D5911yescharacteristic
1358C24C23×D5911yescharacteristic
1359C24C23×D5911yescharacteristic
1360C24C23×D5911yescharacteristic
1361C24C23×D5911yescharacteristic
1362C2×Q8—1182no—
1363C2×Q8—2361no—
1364C2×Q8—2361no—
1365C2×D4—232no—
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—22no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—22no—
1384C2×D4—22no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—1182no—
1392C2×D4—1182no—
1393C2×D4—1182no—
1394C2×D4—1182no—
1395C2×D4—1182no—
1396C2×D4—1182no—
1397C2×D4—1182no—
1398C2×D4—1182no—
1399C2×D4—1182no—
1400C2×D4—1182no—
1401C2×D4—1182no—
1402C2×D4—1182no—
1403C2×D4—1182no—
1404C2×D4—1182no—
1405C2×D4—2361no—
1406C2×D4—2361no—
1407C2×D4—2361no—
1408C2×D4—2361no—
1409C2×D4—2361no—
1410C2×D4—2361no—
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—23616no—
1422C2×D4D4×D5914yes—
1423C2×D4#1174568714yes—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—41no—
1433C22×C4—591no—
1434C22×C4—591no—
1435C22×C4—591no—
1436C22×C4—591no—
1437C22×C4—591no—
1438C22×C4—594no—
1439C22×C4—594no—
1440C22×C4—591no—
1441C22×C4—591no—
1442C22×C4—591no—
1443C22×C4—591no—
1444C22×C4—591no—
1445C22×C4—591no—
1446C22×C4—591no—
1447C22×C4—591no—
1448C22×C4—591no—
1449C22×C4—1182no—
1450C22×C4—1182no—
1451C22×C4—1182no—
1452C22×C4—1182no—
1453C22×C4—1182no—
1454C22×C4—1182no—
1455C22×C4—1182no—
1456C22×C4—1182no—
1457C22×C4—1182no—
1458C22×C4—1182no—
1459C22×C4—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—2361no—
1471C22×C4—2361no—
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—2361no—
1485C22×C4—2361no—
1486C22×C4—2361no—
1487C22×C4—2361no—
1488C22×C4—2361no—
1489C22×C4—23616no—
1490C22×C4—23616no—
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—22no—
1502C4⋊C4—594no—
1503C4⋊C4—1182no—
1504C4⋊C4—1182no—
1505C4⋊C4—1182no—
1506C4⋊C4—1182no—
1507C4⋊C4—1182no—
1508C4⋊C4—1182no—
1509C4⋊C4—1182no—
1510C4⋊C4—1182no—
1511C4⋊C4—2361no—
1512C4⋊C4—2361no—
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—22no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—41no—
1534C22⋊C4—41no—
1535C22⋊C4—594no—
1536C22⋊C4—594no—
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—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—28no—
1592C23—28no—
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—28no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—44no—
1620C23—44no—
1621C23—44no—
1622C23—44no—
1623C23—44no—
1624C23—44no—
1625C23—44no—
1626C23—44no—
1627C23—44no—
1628C23—44no—
1629C23—44no—
1630C23—1181no—
1631C23—1181no—
1632C23—1181no—
1633C23—1181no—
1634C23—1181no—
1635C23—1181no—
1636C23—1181no—
1637C23—1181no—
1638C23—1181no—
1639C23—1181no—
1640C23—1181no—
1641C23—1181no—
1642C23—1181no—
1643C23—1181no—
1644C23—4722no—
1645C23—4722no—
1646C23—4722no—
1647C23—4722no—
1648C23—2364no—
1649C23—2364no—
1650C23—2364no—
1651C23C2×D4×D5912yes—
1652C23C2×D4×D5912yes—
1653C23C2×#1174568712yes—
1654C23C2×#1174568712yes—
1655C23C2×#1174568712yes—
1656C23C2×#1174568712yes—
1657C23C2×#1174568712yes—
1658C23#1427377212yes—
1659C23#1427377312yes—
1660C23C24×D5911yescharacteristic
1661Q8—4722no—
1662D4—28no—
1663D4—28no—
1664D4—28no—
1665D4—28no—
1666D4—44no—
1667D4—44no—
1668D4—44no—
1669D4—82no—
1670D4—82no—
1671D4—4722no—
1672D4—4722no—
1673D4—4722no—
1674D4—4722no—
1675D4—4722no—
1676D4—4722no—
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—82no—
1708C2×C4—82no—
1709C2×C4—592no—
1710C2×C4—592no—
1711C2×C4—592no—
1712C2×C4—592no—
1713C2×C4—592no—
1714C2×C4—1188no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
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—4722no—
1753C2×C4—2364no—
1754C2×C4—2364no—
1755C2×C4—2364no—
1756C2×C4—2364no—
1757C2×C4—2364no—
1758C2×C4—2364no—
1759C2×C4—2364no—
1760C2×C4—2364no—
1761C2×C4—2364no—
1762C2×C4—2364no—
1763C2×C4—2364no—
1764C2×C4—2364no—
1765C2×C4C2×D4×D5912yes—
1766C2×C4C2×#1174568712yes—
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—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—416no—
1789C22—416no—
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—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—4728no—
1810C22—2361no—
1811C22—2361no—
1812C22—2361no—
1813C22—2361no—
1814C22—2361no—
1815C22—2361no—
1816C22—2361no—
1817C22—2361no—
1818C22—2361no—
1819C22—2361no—
1820C22—2361no—
1821C22—2361no—
1822C22—2361no—
1823C22—2361no—
1824C22#1683790814yes—
1825C22#1683798914yescomplemented
1826C22C22×D4×D5911yescharacteristic
1827C22C22×#1174568711yescharacteristic
1828C22C22×#1174568711yescharacteristic
1829C22H(5,𝔽2)×D5911yescharacteristic
1830C22C2×#1427377211yescharacteristic
1831C22C2×#1427377311yescharacteristic
1832C22#1683823711yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—1182no—
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—24no—
1858C2—42no—
1859C2—42no—
1860C2—42no—
1861C2—81no—
1862C2—4721no—
1863C2—4721no—
1864C2C2×#1683790811yescharacteristic
1865C2C2×#1683798911yescharacteristic
1866C2#2143750211yescharacteristic
1867C2#2143772611yescharacteristic
1868C2#2143775611yescharacteristic
1869C2#2143803711yescharacteristic
1870C2#2143811511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2410C2
hypercenter#2410D59
hypocenterC59#34990
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C2×#16837989C2semidirect
2. C22×D4×Dic59C2semidirect
3. #21432413C2semidirect
4. #21432393C2semidirect
5. #21432390C2semidirect
6. #21432376C2semidirect
7. #21429992C2semidirect
8. #21429979C2semidirect
9. #21429947C2semidirect
10. #21429934C2semidirect
11. #21428354C2semidirect
12. #21428219C2semidirect
13. #21428140C2semidirect
14. #21428026C2semidirect
15. #21427981C2semidirect
16. #21427981C2semidirect
17. #21427924C2semidirect
18. #21427842C2semidirect
19. #21427829C2semidirect
20. #21427757C2semidirect
21. #21427638C2semidirect
22. #21427636C2semidirect
23. #21427556C2semidirect
24. #21427471C2semidirect
25. #21427406C2semidirect
26. #21426801C2semidirect
27. #21426759C2semidirect
28. #21426722C2semidirect
29. #120×Dic59C2semidirect
30. C2×#16837279C2semidirect
31. C59×#2410C2semidirect
34. C24×Dic59C22semidirect
36. C2×#14273722C22semidirect
37. C2×#14273722C22semidirect
38. C2×#14273713C22semidirect
39. C2×#14273713C22semidirect
40. C2×#14273711C22semidirect
41. C2×#14273711C22semidirect
42. C2×#14273711C22semidirect
43. C2×#14273706C22semidirect
44. C2×#14273704C22semidirect
47. C2×#14273699C22semidirect
48. C2×#14273699C22semidirect
49. C2×#14273699C22semidirect
54. C2×#14273695C22semidirect
60. C2×D4×Dic59C22semidirect
61. C2×D4×Dic59C22semidirect
62. C2×D4×Dic59C22semidirect
63. C2×D4×Dic59C22semidirect
64. C2×D4×Dic59C22semidirect
65. C2×D4×Dic59C22semidirect
66. C2×D4×Dic59C22semidirect
67. C22×C4⋊Dic59C22semidirect
69. C22×C22⋊Dic59C22semidirect
70. C22×(C2×D59)⋊C4C22semidirect
71. C22×(C2×D59)⋊C4C22semidirect
72. C22×C4×Dic59C22semidirect
73. #16837344C22semidirect
74. #16837341C22semidirect
75. #16837339C22semidirect
76. #16837338C22semidirect
77. #16837334C22semidirect
78. #16837330C22semidirect
79. #16837329C22semidirect
80. #16837327C22semidirect
81. #16837325C22semidirect
82. #16837325C22semidirect
83. #16837325C22semidirect
84. #16837324C22semidirect
85. #16837318C22semidirect
86. #16837318C22semidirect
87. #16837318C22semidirect
88. #16837317C22semidirect
89. #16837317C22semidirect
90. #16837317C22semidirect
91. #16837316C22semidirect
92. #16837314C22semidirect
93. #16837314C22semidirect
98. #16837310C22semidirect
99. #16837310C22semidirect
100. #16837310C22semidirect
101. #16837306C22semidirect
102. #16837302C22semidirect
103. #16837302C22semidirect
104. #16837302C22semidirect
105. #16837296C22semidirect
106. #16837295C22semidirect
107. #16837295C22semidirect
108. #16837294C22semidirect
109. #16837294C22semidirect
110. #16837294C22semidirect
111. #16837294C22semidirect
112. #16837292C22semidirect
113. #16837291C22semidirect
114. #16837291C22semidirect
115. #16837290C22semidirect
116. #16837290C22semidirect
117. #16837288C22semidirect
118. #16837288C22semidirect
119. #16837287C22semidirect
120. #16837285C22semidirect
121. #16837285C22semidirect
122. #16837283C22semidirect
125. #16837282C22semidirect
126. #16837282C22semidirect
127. #16837282C22semidirect
128. #16837282C22semidirect
129. #16837282C22semidirect
130. #16837282C22semidirect
131. #16837282C22semidirect
140. #16837279C22semidirect
141. #16837279C22semidirect
142. #16837279C22semidirect
143. #16837279C22semidirect
144. #16837279C22semidirect
145. #16837279C22semidirect
146. #16837279C22semidirect
147. #16837279C22semidirect
148. #16837277C22semidirect
149. #16837277C22semidirect
150. #16837277C22semidirect
151. #16837277C22semidirect
152. #16837277C22semidirect
153. #16837277C22semidirect
154. #16837277C22semidirect
155. #16837275C22semidirect
156. #16837275C22semidirect
157. #16837274C22semidirect
158. #16837274C22semidirect
159. #16837269C22semidirect
160. #16837266C22semidirect
161. #16837263C22semidirect
162. #16837263C22semidirect
163. #16837262C22semidirect
164. #16837260C22semidirect
165. #16837260C22semidirect
166. #16837260C22semidirect
168. #16837257C22semidirect
169. C22⋊C4×Dic59C22semidirect
170. C22⋊C4×Dic59C22semidirect
171. C22⋊C4×Dic59C22semidirect
172. C2×C59⋊#95C22semidirect
173. C2×C59⋊#95C22semidirect
178. C2×#120×C59C22semidirect
180. C59×#394C22semidirect
181. C59×#394C22semidirect
182. C59×#392C22semidirect
183. C59×#392C22semidirect
186. C59×#386C22semidirect
187. C59×#385C22semidirect
188. C59×#379C22semidirect
253. D4×Dic59D4semidirect
546. C22×Dic59C2×D4semidirect
603. C22⋊Dic59C2×D4semidirect
631. C4⋊Dic59C2×D4semidirect
646. C4×Dic59C2×D4semidirect
875. C22×C59#538semidirect
945. #2410D59semidirect
994. C2×#120C2×D59semidirect
1033. #394C2×D59semidirect
1034. #394C2×D59semidirect
1044. #392C2×D59semidirect
1045. #392C2×D59semidirect
1095. #386C2×D59semidirect
1107. #385C2×D59semidirect
1118. #379C2×D59semidirect
1124. C59#34990semidirect
1825. C22#16837989semidirect

Maximal subgroups

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

subgroupindex
C2×#168379892
C22×D4×Dic592
#214324132
#214323932
#214323902
#214323762
#214299922
#214299792
#214299472
#214299342
#214283542
#214282192
#214281402
#214280262
#214279812
#214279242
#214278422
#214278292
#214277572
#214276382
#214276362
#214275562
#214274712
#214274062
#214268012
#214267592
#214267222
#120×Dic592
C2×#168372792
C59×#24102
#3499059