Finite Group Databasebeta

← #28761643

Subgroups — #28761643

Order 15104.

2756 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837990C211yesmaximal, characteristic, complemented
2C2×#16837985C211yesmaximal, characteristic, complemented
3#21432462C211yesmaximal, characteristic, complemented
4#21432450C211yesmaximal, characteristic, complemented
5#21432440C211yesmaximal, characteristic, complemented
6#21432423C211yesmaximal, characteristic, complemented
7#21430239C211yesmaximal, characteristic, complemented
8#21430237C211yesmaximal, characteristic, complemented
9#21430228C211yesmaximal, characteristic, complemented
10#21430226C211yesmaximal, characteristic, complemented
11#21429172C211yesmaximal, characteristic, complemented
12#21429168C211yesmaximal, characteristic, complemented
13#21429162C211yesmaximal, characteristic, complemented
14#21429160C211yesmaximal, characteristic, complemented
15#21428679C211yesmaximal, characteristic, complemented
16#21428458C211yesmaximal, characteristic, complemented
17#21428227C211yesmaximal, characteristic, complemented
18#21428219C211yesmaximal, characteristic, complemented
19#21427858C211yesmaximal, characteristic, complemented
20#21427797C211yesmaximal, characteristic, complemented
21#21427731C211yesmaximal, characteristic, complemented
22#21427683C211yesmaximal, characteristic, complemented
23#21427630C211yesmaximal, characteristic, complemented
24#21427628C211yesmaximal, characteristic, complemented
25#21427535C211yesmaximal, characteristic, complemented
26#21427451C211yesmaximal, characteristic, complemented
27#21426756C211yesmaximal, characteristic, complemented
28C4×#14273699C211yesmaximal, characteristic, complemented
29C2×#16837302C211yesmaximal, characteristic, complemented
30C4×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
31C59×#2321C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33#16837990—28no—
34#16837985—28no—
35C2×#14273726C2211yescharacteristic, complemented
36C2×#14273723C2211yescharacteristic
37C2×#14273723C2211yescharacteristic
38C2×#14273722C2211yescharacteristic, complemented
39C2×#14273721C2211yescharacteristic, complemented
40C2×#14273720C2211yescharacteristic, complemented
41C2×#14273720C2211yescharacteristic, complemented
42C2×#14273715C2211yescharacteristic, complemented
43C2×#14273713C2211yescharacteristic, complemented
44C2×#14273713C2211yescharacteristic, complemented
45C2×#14273713C2211yescharacteristic, complemented
46C2×#14273713C2211yescharacteristic, complemented
47C2×#14273713C2211yescharacteristic, complemented
48C2×#14273712C2211yescharacteristic, complemented
49C2×#14273710C2211yescharacteristic, complemented
50C2×#14273709C2211yescharacteristic, complemented
51C2×#14273709C2211yescharacteristic, complemented
52C2×#14273706C2211yescharacteristic
53C2×#14273704C2211yescharacteristic
54C2×#14273702C2211yescharacteristic, complemented
55C2×#14273701C2211yescharacteristic
56C2×#14273701C2211yescharacteristic, complemented
57C2×#14273700C2211yescharacteristic
58C2×#14273700C2211yescharacteristic
59C2×#14273700C2211yescharacteristic, complemented
60C2×#14273700C2211yescharacteristic, complemented
61C2×#14273700C2211yescharacteristic, complemented
62C2×#14273700C2211yescharacteristic, complemented
63C2×#14273699C2211yescharacteristic
64C2×#14273699C2211yescharacteristic
65C2×#14273698C2211yescharacteristic, complemented
66C2×#14273697C2211yescharacteristic
67C2×#14273697C2211yescharacteristic
68C2×#14273696C2211yescharacteristic
69C2×#14273696C2211yescharacteristic
70C2×#14273695C2211yescharacteristic
71C2×C4×C22⋊D59C2211yescharacteristic
72C2×C4×C22⋊D59C2211yescharacteristic
73C2×C4×C22⋊D59C2211yescharacteristic, complemented
74C2×(C22⋊D59)⋊C4C2211yescharacteristic
75C2×(C22⋊D59)⋊C4C2211yescharacteristic
76C22×Dic59⋊C4C2211yescharacteristic
77C22×C22⋊Dic59C2211yescharacteristic
78C22×(C2×D59)⋊C4C2211yescharacteristic
79C22×(C2×D59)⋊C4C2211yescharacteristic
80C22×C4×Dic59C2211yescharacteristic
81C2×C42×D59C2211yescharacteristic, complemented
82#16837336C2211yescharacteristic, complemented
83#16837335C2211yescharacteristic, complemented
84#16837331C2211yescharacteristic, complemented
85#16837330C2211yescharacteristic, complemented
86#16837326C2211yescharacteristic, complemented
87#16837325C2211yescharacteristic, complemented
88#16837325C2211yescharacteristic, complemented
89#16837324C2211yescharacteristic, complemented
90#16837323C2211yescharacteristic, complemented
91#16837322C2211yescharacteristic, complemented
92#16837320C2211yescharacteristic, complemented
93#16837320C2211yescharacteristic, complemented
94#16837319C2211yescharacteristic, complemented
95#16837318C2211yescharacteristic, complemented
96#16837318C2211yescharacteristic, complemented
97#16837318C2211yescharacteristic, complemented
98#16837317C2211yescharacteristic
99#16837317C2211yescharacteristic
100#16837317C2211yescharacteristic, complemented
101#16837317C2211yescharacteristic, complemented
102#16837317C2211yescharacteristic, complemented
103#16837316C2211yescharacteristic, complemented
104#16837315C2211yescharacteristic, complemented
105#16837314C2211yescharacteristic, complemented
106#16837312C2211yescharacteristic, complemented
107#16837311C2211yescharacteristic
108#16837311C2211yescharacteristic
109#16837311C2211yescharacteristic
110#16837311C2211yescharacteristic
111#16837310C2211yescharacteristic
112#16837310C2211yescharacteristic
113#16837310C2211yescharacteristic, complemented
114#16837305C2211yescharacteristic, complemented
115#16837304C2211yescharacteristic, complemented
116#16837304C2211yescharacteristic, complemented
117#16837303C2211yescharacteristic, complemented
118#16837302C2211yescharacteristic
119#16837302C2211yescharacteristic
120#16837302C2211yescharacteristic
121#16837302C2211yescharacteristic
122#16837302C2211yescharacteristic
123#16837302C2211yescharacteristic
124#16837302C2211yescharacteristic
125#16837302C2211yescharacteristic
126#16837302C2211yescharacteristic
127#16837302C2211yescharacteristic
128#16837302C2211yescharacteristic
129#16837302C2211yescharacteristic
130#16837302C2211yescharacteristic, complemented
131#16837302C2211yescharacteristic, complemented
132#16837302C2211yescharacteristic, complemented
133#16837302C2211yescharacteristic, complemented
134#16837299C2211yescharacteristic, complemented
135#16837299C2211yescharacteristic, complemented
136#16837299C2211yescharacteristic, complemented
137#16837297C2211yescharacteristic, complemented
138#16837296C2211yescharacteristic, complemented
139#16837295C2211yescharacteristic, complemented
140#16837294C2211yescharacteristic, complemented
141#16837294C2211yescharacteristic, complemented
142#16837294C2211yescharacteristic, complemented
143#16837294C2211yescharacteristic, complemented
144#16837293C2211yescharacteristic, complemented
145#16837293C2211yescharacteristic, complemented
146#16837292C2211yescharacteristic, complemented
147#16837291C2211yescharacteristic, complemented
148#16837290C2211yescharacteristic, complemented
149#16837290C2211yescharacteristic, complemented
150#16837282C2211yescharacteristic
151#16837280C2211yescharacteristic, complemented
152#16837280C2211yescharacteristic, complemented
153#16837280C2211yescharacteristic, complemented
154#16837279C2211yescharacteristic
155#16837279C2211yescharacteristic
156#16837278C2211yescharacteristic, complemented
157#16837277C2211yescharacteristic
158#16837271C2211yescharacteristic, complemented
159#16837261C2211yescharacteristic, complemented
160#16837260C2211yescharacteristic
161#16837257C2211yescharacteristic
162C4×Dic59⋊C4C2211yescharacteristic, complemented
163C4×Dic59⋊C4C2211yescharacteristic, complemented
164#16837253C2211yescharacteristic, complemented
165#16837253C2211yescharacteristic, complemented
166C22⋊C4×Dic59C2211yescharacteristic
167C22⋊C4×Dic59C2211yescharacteristic
168C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
169C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
170C4×C22⋊Dic59C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172#16837249C2211yescharacteristic, complemented
173C42×Dic59C2211yescharacteristic, complemented
174C2×#120×C59C2211yescharacteristic
175C2×C4×D4×C59C2211yescharacteristic
176C22×C22⋊C4×C59C2211yescharacteristic
177C59×#390C2211yescharacteristic, complemented
178C59×#390C2211yescharacteristic, complemented
179C59×#388C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic
184C59×#386C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic
187C59×#379C2211yescharacteristic
188C4×C22⋊C4×C59C2211yescharacteristic
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×C22⋊D59—24no—
198C22×C22⋊D59—42no—
199C22×C22⋊D59—42no—
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C22×C22⋊D59C2311yescharacteristic
210C22×C22⋊D59C2311yescharacteristic
211C22×C22⋊D59C2311yescharacteristic
212C22×C22⋊D59C2311yescharacteristic
213C22×C22⋊D59C2311yescharacteristic
214C23×Dic59C2311yescharacteristic
215C23×Dic59C2311yescharacteristic
216C23×Dic59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221#14273726—42no—
222#14273723—42no—
223#14273723—42no—
224#14273722—24no—
225#14273721—24no—
226#14273720—24no—
227#14273720—24no—
228#14273715—24no—
229#14273713—24no—
230#14273713—24no—
231#14273713—24no—
232#14273713—42no—
233#14273713—42no—
234#14273712—24no—
235#14273710—24no—
236#14273709—24no—
237#14273709—24no—
238#14273706—24no—
239#14273704—24no—
240#14273702—42no—
241#14273701—24no—
242#14273701—24no—
243#14273700—24no—
244#14273700—24no—
245#14273700—24no—
246#14273700—42no—
247#14273700—42no—
248#14273700—42no—
249#14273699—24no—
250#14273699—24no—
251#14273698—42no—
252#14273697—24no—
253#14273697—24no—
254#14273696—24no—
255#14273696—24no—
256#14273695—24no—
257C4×C22⋊D59—24no—
258C4×C22⋊D59—42no—
259C4×C22⋊D59D418yescomplemented
260(C22⋊D59)⋊C4—24no—
261(C22⋊D59)⋊C4—24no—
262C2×C4⋊Dic59C2311yescharacteristic
263C2×C4⋊Dic59C2311yescharacteristic
264C2×C4⋊Dic59C2311yescharacteristic
265C2×C4⋊Dic59C2311yescharacteristic
266C2×C4⋊Dic59C2311yescharacteristic
267C2×Dic59⋊C4—42no—
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2311yescharacteristic
276C2×Dic59⋊C4C2311yescharacteristic
277C2×Dic59⋊C4C2311yescharacteristic
278C2×Dic59⋊C4C2311yescharacteristic
279C2×Dic59⋊C4C2311yescharacteristic
280C2×Dic59⋊C4C2311yescharacteristic
281C2×Dic59⋊C4C2311yescharacteristic
282C2×Dic59⋊C4C2311yescharacteristic
283C2×Dic59⋊C4C2311yescharacteristic
284C2×C22⋊Dic59—42no—
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×C22⋊Dic59C2311yescharacteristic
299C2×(C2×D59)⋊C4—24no—
300C2×(C2×D59)⋊C4—42no—
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×(C2×D59)⋊C4C2311yescharacteristic
319C2×(C2×D59)⋊C4C2311yescharacteristic
320C2×(C2×D59)⋊C4C2311yescharacteristic
321C2×(C2×D59)⋊C4C2311yescharacteristic
322C2×(C2×D59)⋊C4C2311yescharacteristic
323C2×(C2×D59)⋊C4C2311yescharacteristic
324C2×(C2×D59)⋊C4C2311yescharacteristic
325C2×(C2×D59)⋊C4C2311yescharacteristic
326C2×(C2×D59)⋊C4C2311yescharacteristic
327C2×(C2×D59)⋊C4C2311yescharacteristic
328C2×(C2×D59)⋊C4C2311yescharacteristic
329C2×(C2×D59)⋊C4C2311yescharacteristic
330C2×(C2×D59)⋊C4C2311yescharacteristic
331C2×C4×Dic59—42no—
332C2×C4×Dic59C2311yescharacteristic
333C2×C4×Dic59C2311yescharacteristic
334C2×C4×Dic59C2311yescharacteristic
335C2×C4×Dic59C2311yescharacteristic
336C2×C4×Dic59C2311yescharacteristic
337C2×C4×Dic59C2311yescharacteristic
338C2×C4×Dic59C2311yescharacteristic
339C2×C4×Dic59C2311yescharacteristic
340C2×C4×Dic59C2311yescharacteristic
341C2×C4×Dic59C2311yescharacteristic
342C2×C4×Dic59C2311yescharacteristic
343C2×C4×Dic59C2311yescharacteristic
344C42×D59—42no—
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C59⋊#95C2311yescharacteristic
355C59⋊#95C2311yescharacteristic
356C59⋊#95C2311yescharacteristic
357C59⋊#95C2311yescharacteristic
358C59⋊#95C2311yescharacteristic
359C25×C59C2311yescharacteristic
360C22×D4×C59C2311yescharacteristic
361C22×D4×C59C2311yescharacteristic
362C22×D4×C59C2311yescharacteristic
363C23×C4×C59C2311yescharacteristic
364C23×C4×C59C2311yescharacteristic
365C23×C4×C59C2311yescharacteristic
366#120×C59—24no—
367C4×D4×C59—24no—
368C2×C4⋊C4×C59C2311yescharacteristic
369C2×C4⋊C4×C59C2311yescharacteristic
370C2×C4⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59—24no—
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C22⋊C4×C59C2311yescharacteristic
385C2×C22⋊C4×C59C2311yescharacteristic
386C2×C22⋊C4×C59C2311yescharacteristic
387C2×C22⋊C4×C59C2311yescharacteristic
388C2×C42×C59C2311yescharacteristic
389C2×C42×C59C2311yescharacteristic
390C2×C42×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—41no—
401C24×C59—41no—
402C24×C59—41no—
403C24×C59—41no—
404C24×C59C2411yescharacteristic
405C24×C59C2411yescharacteristic
406C24×C59C2411yescharacteristic
407C24×C59C2411yescharacteristic
408C23×D59—22no—
409C23×D59—22no—
410C23×D59—22no—
411C23×D59—41no—
412C23×D59—41no—
413C23×D59—41no—
414C23×D59—41no—
415C23×D59C2411yescharacteristic
416C23×D59C2411yescharacteristic
417C23×D59C2411yescharacteristic
418C23×D59C2411yescharacteristic
419C2×D4×C59—22no—
420C2×D4×C59—22no—
421C2×D4×C59—22no—
422C2×D4×C59—22no—
423C2×D4×C59—22no—
424C2×D4×C59—41no—
425C2×D4×C59—41no—
426C2×D4×C59—41no—
427C2×D4×C59—41no—
428C22×C4×C59—22no—
429C22×C4×C59—22no—
430C22×C4×C59—41no—
431C22×C4×C59—41no—
432C22×C4×C59—41no—
433C22×C4×C59—41no—
434C22×C4×C59—41no—
435C22×C4×C59—41no—
436C22×C4×C59C2×D414yes—
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C2×C22⋊D59—22no—
449C2×C22⋊D59—22no—
450C2×C22⋊D59—22no—
451C2×C22⋊D59—22no—
452C2×C22⋊D59—22no—
453C2×C22⋊D59—22no—
454C2×C22⋊D59—22no—
455C2×C22⋊D59—22no—
456C2×C22⋊D59—22no—
457C2×C22⋊D59—22no—
458C2×C22⋊D59—22no—
459C2×C22⋊D59—22no—
460C2×C22⋊D59—22no—
461C2×C22⋊D59—22no—
462C2×C22⋊D59—22no—
463C2×C22⋊D59—22no—
464C2×C22⋊D59—22no—
465C2×C22⋊D59—22no—
466C2×C22⋊D59—22no—
467C2×C22⋊D59—22no—
468C2×C22⋊D59—22no—
469C2×C22⋊D59—22no—
470C2×C22⋊D59—22no—
471C2×C22⋊D59—41no—
472C2×C22⋊D59—41no—
473C2×C22⋊D59—41no—
474C2×C22⋊D59—41no—
475C2×C22⋊D59—416no—
476C2×C22⋊D59—41no—
477C2×C22⋊D59—41no—
478C2×C22⋊D59—41no—
479C2×C22⋊D59—41no—
480C2×C22⋊D59—41no—
481C2×C22⋊D59—41no—
482C2×C22⋊D59—41no—
483C2×C22⋊D59—41no—
484C2×C22⋊D59—41no—
485C2×C22⋊D59—41no—
486C2×C22⋊D59—41no—
487C2×C22⋊D59—41no—
488C2×C22⋊D59—41no—
489C2×C22⋊D59—41no—
490C2×C22⋊D59C2×D414yes—
491C22×Dic59—22no—
492C22×Dic59—22no—
493C22×Dic59—22no—
494C22×Dic59—22no—
495C22×Dic59—22no—
496C22×Dic59—41no—
497C22×Dic59—41no—
498C22×Dic59—41no—
499C22×Dic59#4114yes—
500C22×Dic59C2411yescharacteristic
501C22×Dic59C2411yescharacteristic
502C22×Dic59C2411yescharacteristic
503C22×Dic59C2411yescharacteristic
504C22×Dic59C2411yescharacteristic
505C22×Dic59C2411yescharacteristic
506C22×Dic59C2411yescharacteristic
507C22×Dic59C2411yescharacteristic
508C22×Dic59C2411yescharacteristic
509C22×Dic59C2411yescharacteristic
510C22×Dic59C2411yescharacteristic
511C22×Dic59C2411yescharacteristic
512C2×D236—22no—
513C2×D236—22no—
514C2×D236—22no—
515C2×D236—22no—
516C2×D236—22no—
517C2×D236—41no—
518C2×D236—41no—
519C2×D236—41no—
520C2×D236—41no—
521C2×D236—41no—
522C2×D236—41no—
523C2×D236—41no—
524C2×D236—41no—
525C2×D236—41no—
526C2×D236—41no—
527C2×C4×D59—22no—
528C2×C4×D59—22no—
529C2×C4×D59—22no—
530C2×C4×D59—22no—
531C2×C4×D59—22no—
532C2×C4×D59—22no—
533C2×C4×D59—41no—
534C2×C4×D59—41no—
535C2×C4×D59—41no—
536C2×C4×D59—41no—
537C2×C4×D59—41no—
538C2×C4×D59C2×D414yescomplemented
539C2×Dic118—22no—
540C2×Dic118—22no—
541C2×Dic118—41no—
542C2×Dic118—41no—
543C2×Dic118—41no—
544C2×Dic118—41no—
545C4⋊C4×C59—22no—
546C4⋊C4×C59—41no—
547C4⋊C4×C59—41no—
548C22⋊C4×C59—22no—
549C22⋊C4×C59—22no—
550C22⋊C4×C59—22no—
551C22⋊C4×C59—22no—
552C22⋊C4×C59—22no—
553C22⋊C4×C59—22no—
554C22⋊C4×C59—22no—
555C22⋊C4×C59—22no—
556C22⋊C4×C59—22no—
557C22⋊C4×C59—41no—
558C22⋊C4×C59—41no—
559C22⋊C4×C59—41no—
560C22⋊C4×C59—41no—
561C22⋊C4×C59—41no—
562C22⋊C4×C59—41no—
563C22⋊C4×C59#4114yes—
564C42×C59—22no—
565C42×C59—41no—
566C42×C59—41no—
567C22⋊Dic59—22no—
568C22⋊Dic59—22no—
569C22⋊Dic59—22no—
570C22⋊Dic59—22no—
571C22⋊Dic59—22no—
572C22⋊Dic59—22no—
573C22⋊Dic59—22no—
574C22⋊Dic59—22no—
575C22⋊Dic59—22no—
576C22⋊Dic59—22no—
577C22⋊Dic59—41no—
578C22⋊Dic59—41no—
579C22⋊Dic59—41no—
580C22⋊Dic59C2×D414yes—
581(C2×D59)⋊C4—22no—
582(C2×D59)⋊C4—22no—
583(C2×D59)⋊C4—22no—
584(C2×D59)⋊C4—22no—
585(C2×D59)⋊C4—22no—
586(C2×D59)⋊C4—22no—
587(C2×D59)⋊C4—22no—
588(C2×D59)⋊C4—22no—
589(C2×D59)⋊C4—22no—
590(C2×D59)⋊C4—22no—
591(C2×D59)⋊C4—22no—
592(C2×D59)⋊C4—22no—
593(C2×D59)⋊C4—22no—
594(C2×D59)⋊C4—22no—
595(C2×D59)⋊C4—22no—
596(C2×D59)⋊C4—22no—
597(C2×D59)⋊C4—22no—
598(C2×D59)⋊C4—22no—
599(C2×D59)⋊C4—22no—
600(C2×D59)⋊C4—22no—
601(C2×D59)⋊C4—41no—
602(C2×D59)⋊C4—41no—
603(C2×D59)⋊C4—41no—
604(C2×D59)⋊C4—41no—
605(C2×D59)⋊C4—41no—
606(C2×D59)⋊C4—41no—
607(C2×D59)⋊C4—41no—
608(C2×D59)⋊C4—41no—
609(C2×D59)⋊C4—41no—
610(C2×D59)⋊C4C2×D414yescomplemented
611C4⋊Dic59—22no—
612C4⋊Dic59—22no—
613C4⋊Dic59—22no—
614C4⋊Dic59—41no—
615C4⋊Dic59—41no—
616Dic59⋊C4—22no—
617Dic59⋊C4—22no—
618Dic59⋊C4—22no—
619Dic59⋊C4—22no—
620Dic59⋊C4—22no—
621Dic59⋊C4—22no—
622Dic59⋊C4—22no—
623Dic59⋊C4—22no—
624Dic59⋊C4—22no—
625Dic59⋊C4—22no—
626Dic59⋊C4—22no—
627Dic59⋊C4—22no—
628Dic59⋊C4—22no—
629Dic59⋊C4—41no—
630Dic59⋊C4—41no—
631Dic59⋊C4C2×D414yescomplemented
632C4×Dic59—22no—
633C4×Dic59—22no—
634C4×Dic59—22no—
635C4×Dic59—22no—
636C4×Dic59—22no—
637C4×Dic59—22no—
638C4×Dic59—22no—
639C4×Dic59—22no—
640C4×Dic59—41no—
641C4×Dic59—41no—
642C4×Dic59—41no—
643C4×Dic59C2×D414yescomplemented
644C23×C59—21no—
645C23×C59—21no—
646C23×C59—21no—
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59—21no—
651C23×C59—21no—
652C23×C59—21no—
653C23×C59—21no—
654C23×C59—21no—
655C23×C59—21no—
656C23×C59—21no—
657C23×C59—21no—
658C23×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—44no—
670C23×C59—44no—
671C23×C59—44no—
672C23×C59—82no—
673C23×C59—82no—
674C23×C59—82no—
675C23×C59—82no—
676C23×C59C22×D412yes—
677C23×C59C2×#4112yes—
678C23×C59C2×#4112yes—
679C23×C59C2511yescharacteristic
680C22×D59—21no—
681C22×D59—21no—
682C22×D59—21no—
683C22×D59—21no—
684C22×D59—21no—
685C22×D59—21no—
686C22×D59—21no—
687C22×D59—21no—
688C22×D59—21no—
689C22×D59—21no—
690C22×D59—21no—
691C22×D59—21no—
692C22×D59—21no—
693C22×D59—21no—
694C22×D59—21no—
695C22×D59—21no—
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—21no—
699C22×D59—21no—
700C22×D59—21no—
701C22×D59—21no—
702C22×D59—21no—
703C22×D59—21no—
704C22×D59—21no—
705C22×D59—21no—
706C22×D59—21no—
707C22×D59—44no—
708C22×D59—44no—
709C22×D59—44no—
710C22×D59—82no—
711C22×D59—82no—
712C22×D59—82no—
713C22×D59—82no—
714C22×D59C22×D412yes—
715D4×C59—44no—
716D4×C59—82no—
717D4×C59—82no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—44no—
748C2×C4×C59—82no—
749C2×C4×C59—82no—
750C2×C4×C59C22×D412yes—
751C2×C4×C59C22×D412yes—
752C2×C4×C59C2×#4112yes—
753C2×C4×C59C2×#4112yes—
754C22⋊D59—28no—
755C22⋊D59—44no—
756C22⋊D59—44no—
757C22⋊D59—44no—
758C22⋊D59—44no—
759C22⋊D59—44no—
760C22⋊D59—44no—
761C22⋊D59—82no—
762C22⋊D59—82no—
763C22⋊D59—82no—
764C22⋊D59—82no—
765C22⋊D59—82no—
766C22⋊D59—82no—
767C22⋊D59—82no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—28no—
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—44no—
798C2×Dic59—82no—
799C2×Dic59C22×D412yes—
800C2×Dic59C22×D412yes—
801C2×Dic59C22×D412yes—
802C2×Dic59C2×#4112yes—
803C2×Dic59C2×#4112yes—
804C2×Dic59H(5,𝔽2)12yes—
805C2×Dic59H(5,𝔽2)12yes—
806C2×Dic59H(5,𝔽2)12yes—
807D236—82no—
808D236—82no—
809D236—82no—
810D236—82no—
811D236—82no—
812C4×D59—44no—
813C4×D59—44no—
814C4×D59—44no—
815C4×D59—82no—
816Dic118—82no—
817Dic118—82no—
818#35007—591nomaximal, Sylow
819C22×C59—22no—
820C22×C59—22no—
821C22×C59—22no—
822C22×C59—22no—
823C22×C59—22no—
824C22×C59—22no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—88no—
847C22×C59#53214yes—
848C22×C59C23×D411yescharacteristic
849C22×C59C22×#4111yescharacteristic
850C22×C59C22×#4111yescharacteristic
851C22×C59C2×H(5,𝔽2)11yescharacteristic
852C22×C59C2×H(5,𝔽2)11yescharacteristic
853C22×C59C2×H(5,𝔽2)11yescharacteristic
854C22×C59#58511yescharacteristic
855C2×D59—22no—
856C2×D59—22no—
857C2×D59—22no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—41no—
875C2×D59—41no—
876C2×D59—41no—
877C2×D59—41no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—41no—
881C2×D59—41no—
882C2×D59—41no—
883C2×D59—88no—
884C4×C59—22no—
885C4×C59—22no—
886C4×C59—22no—
887C4×C59—22no—
888C4×C59—41no—
889C4×C59—41no—
890C4×C59—41no—
891C4×C59—41no—
892C4×C59—41no—
893C4×C59—41no—
894C4×C59—41no—
895Dic59—22no—
896Dic59—22no—
897Dic59—22no—
898Dic59—22no—
899Dic59—22no—
900Dic59—41no—
901Dic59—41no—
902Dic59—41no—
903Dic59—41no—
904Dic59—41no—
905Dic59—41no—
906Dic59#53814yescomplemented
907C2×#538—591no—
908C2×#538—591no—
909#2860—591no—
910#2858—591no—
911#2856—591no—
912#2854—591no—
913#2662—591no—
914#2662—591no—
915#2661—591no—
916#2661—591no—
917#2555—591no—
918#2555—591no—
919#2554—591no—
920#2554—591no—
921#2512—591no—
922#2491—591no—
923#2472—591no—
924#2472—591no—
925#2445—591no—
926#2440—591no—
927#2433—591no—
928#2428—591no—
929#2424—591no—
930#2424—591no—
931#2416—591no—
932#2408—591no—
933#2321—591no—
934#2321D5911yescharacteristic, complemented
935C4×#121—591no—
936C2×#390—591no—
937C42×D4—591no—
938C2×C59—24no—
939C2×C59—81no—
940C2×C59—81no—
941C2×C59—81no—
942C2×C59C2×#53211yescharacteristic
943C2×C59C2×#53811yescharacteristic
944C2×C59#346011yescharacteristic
945C2×C59#349611yescharacteristic
946C2×C59#349811yescharacteristic
947C2×C59#351411yescharacteristic
948C2×C59#351911yescharacteristic
949D59—42no—
950D59—81no—
951D59—81no—
952D59—81no—
953C23×D4—591no—
954#538—1188no—
955#538—1188no—
956C2×C4⋊Q8—591no—
957C2×#127—591no—
958C2×#127—591no—
959C2×#126—591no—
960C2×#126—591no—
961C2×#126—591no—
962C2×#126—591no—
963C2×#124—591no—
964C2×#124—591no—
965C2×#124—591no—
966C2×#124—591no—
967C2×#124—591no—
968C2×#124—591no—
969C2×#123—591no—
970C2×#123—591no—
971C2×#123—591no—
972C2×#123—591no—
973C2×C22⋊Q8—591no—
974C2×C22⋊Q8—591no—
975C2×#121—591no—
976C2×#121—591no—
977C2×#121—591no—
978C2×#121—591no—
979C2×#121—591no—
980C2×#121—591no—
981C2×#121—591no—
982C2×#121—591no—
983C2×#121—591no—
984C2×#121—591no—
985C2×#121—591no—
986C2×#121—591no—
987C2×#120—591no—
988C2×#120—591no—
989C2×#120—591no—
990C2×#120—591no—
991C2×#120—591no—
992C2×#120C2×D5911yescharacteristic
993C2×C4×D4—591no—
994C2×C4×D4—591no—
995C2×C4×D4—591no—
996C2×C4×D4—591no—
997C2×C4×D4—591no—
998C2×C4×D4C2×D5911yescharacteristic
999C22×C4⋊C4—591no—
1000C22×C22⋊C4—591no—
1001C22×C22⋊C4—591no—
1002C22×C22⋊C4—591no—
1003C22×C22⋊C4C2×D5911yescharacteristic
1004C22×C42—591no—
1005C22×C42—591no—
1006#398—591no—
1007#398—591no—
1008#397—591no—
1009#397—591no—
1010#396—591no—
1011#396—591no—
1012#396—591no—
1013#396—591no—
1014#395—591no—
1015#395—591no—
1016#394—591no—
1017#394—591no—
1018#394—591no—
1019#394—591no—
1020#394—591no—
1021#394—591no—
1022#394—591no—
1023#394—591no—
1024#394—591no—
1025#394—591no—
1026#394—591no—
1027#394—591no—
1028#393—591no—
1029#393—591no—
1030#392—591no—
1031#392—591no—
1032#392—591no—
1033#392—591no—
1034#392—591no—
1035#392—591no—
1036#392—591no—
1037#392—591no—
1038#390—591no—
1039#390—591no—
1040#390—591no—
1041#390—591no—
1042#390—591no—
1043#390—591no—
1044#390—591no—
1045#390—591no—
1046#390—591no—
1047#390—591no—
1048#390—591no—
1049#390—591no—
1050#390—591no—
1051#390—591no—
1052#390—591no—
1053#390—591no—
1054#390—591no—
1055#390—591no—
1056#390—591no—
1057#390—591no—
1058#390C2×D5911yescharacteristic, complemented
1059#390C2×D5911yescharacteristic, complemented
1060#389—591no—
1061#389—591no—
1062#389—591no—
1063#389—591no—
1064#388—591no—
1065#388—591no—
1066#388—591no—
1067#388—591no—
1068#388—591no—
1069#388—591no—
1070#388—591no—
1071#388—591no—
1072#388—591no—
1073#388—591no—
1074#388—591no—
1075#388—591no—
1076#388C2×D5911yescharacteristic, complemented
1077#388C2×D5911yescharacteristic, complemented
1078#388C2×D5911yescharacteristic, complemented
1079#388C2×D5911yescharacteristic, complemented
1080#386—591no—
1081#386—591no—
1082#386—591no—
1083#386—591no—
1084#386—591no—
1085#386—591no—
1086#386—591no—
1087#386C2×D5911yescharacteristic
1088#386C2×D5911yescharacteristic, complemented
1089#386C2×D5911yescharacteristic, complemented
1090#385—591no—
1091#385C2×D5911yescharacteristic
1092#384—591no—
1093#380—591no—
1094#380—591no—
1095#379—591no—
1096#379C2×D5911yescharacteristic
1097C4×C4⋊C4—591no—
1098C4×C4⋊C4—591no—
1099C4×C4⋊C4—591no—
1100C4×C4⋊C4—591no—
1101C4×C22⋊C4—591no—
1102C4×C22⋊C4—591no—
1103C4×C22⋊C4—591no—
1104C4×C22⋊C4—591no—
1105C4×C22⋊C4—591no—
1106C4×C22⋊C4—591no—
1107C4×C22⋊C4—591no—
1108C4×C22⋊C4C2×D5911yescharacteristic
1109C43—591no—
1110C59#3500711yescharacteristic, complemented, Sylow
1111C25—591no—
1112C25C22×D5911yescharacteristic
1113C22×Q8—591no—
1114C22×Q8—591no—
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—591no—
1118C22×D4—591no—
1119C22×D4—591no—
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—591no—
1125C22×D4—591no—
1126C22×D4—591no—
1127C22×D4—591no—
1128C22×D4—591no—
1129C22×D4—591no—
1130C22×D4—591no—
1131C22×D4—591no—
1132C22×D4—591no—
1133C22×D4—591no—
1134C22×D4—1184no—
1135C22×D4—2362no—
1136C22×D4—2362no—
1137C22×D4C22×D5911yescharacteristic
1138C22×D4C22×D5911yescharacteristic
1139C22×D4C22×D5911yescharacteristic
1140C23×C4—591no—
1141C23×C4—591no—
1142C23×C4—591no—
1143C23×C4—591no—
1144C23×C4—591no—
1145C23×C4—591no—
1146C23×C4—591no—
1147C23×C4C22×D5911yescharacteristic
1148C23×C4C22×D5911yescharacteristic
1149C23×C4C22×D5911yescharacteristic
1150C4⋊Q8—2362no—
1151#127—2362no—
1152#127—2362no—
1153#126—1184no—
1154#126—1184no—
1155#126—1184no—
1156#126—1184no—
1157#124—1184no—
1158#124—1184no—
1159#124—1184no—
1160#124—1184no—
1161#124—2362no—
1162#124—2362no—
1163#123—1184no—
1164#123—1184no—
1165#123—1184no—
1166#123—1184no—
1167C22⋊Q8—1184no—
1168C22⋊Q8—1184no—
1169#121—1184no—
1170#121—1184no—
1171#121—1184no—
1172#121—1184no—
1173#121—1184no—
1174#121—1184no—
1175#121—1184no—
1176#121—2362no—
1177#121—2362no—
1178#121—2362no—
1179#121—2362no—
1180#121—2362no—
1181#120—24no—
1182#120—1184no—
1183#120—1184no—
1184#120—1184no—
1185#120—1184no—
1186#120—1184no—
1187C4×D4—24no—
1188C4×D4—598no—
1189C4×D4—1184no—
1190C4×D4—1184no—
1191C4×D4—1184no—
1192C4×D4—2362no—
1193C2×C4⋊C4—591no—
1194C2×C4⋊C4—591no—
1195C2×C4⋊C4—591no—
1196C2×C4⋊C4—591no—
1197C2×C4⋊C4—591no—
1198C2×C4⋊C4—591no—
1199C2×C4⋊C4—591no—
1200C2×C4⋊C4—591no—
1201C2×C4⋊C4—591no—
1202C2×C4⋊C4—591no—
1203C2×C4⋊C4—591no—
1204C2×C4⋊C4—591no—
1205C2×C4⋊C4—591no—
1206C2×C4⋊C4—591no—
1207C2×C4⋊C4—591no—
1208C2×C4⋊C4—591no—
1209C2×C4⋊C4—591no—
1210C2×C4⋊C4—591no—
1211C2×C4⋊C4—591no—
1212C2×C4⋊C4—591no—
1213C2×C4⋊C4—591no—
1214C2×C4⋊C4—2362no—
1215C2×C4⋊C4C22×D5911yescharacteristic
1216C2×C4⋊C4C22×D5911yescharacteristic
1217C2×C4⋊C4C22×D5911yescharacteristic
1218C2×C22⋊C4—24no—
1219C2×C22⋊C4—591no—
1220C2×C22⋊C4—591no—
1221C2×C22⋊C4—591no—
1222C2×C22⋊C4—591no—
1223C2×C22⋊C4—591no—
1224C2×C22⋊C4—591no—
1225C2×C22⋊C4—591no—
1226C2×C22⋊C4—591no—
1227C2×C22⋊C4—591no—
1228C2×C22⋊C4—591no—
1229C2×C22⋊C4—591no—
1230C2×C22⋊C4—591no—
1231C2×C22⋊C4—591no—
1232C2×C22⋊C4—591no—
1233C2×C22⋊C4—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—1184no—
1264C2×C22⋊C4—2362no—
1265C2×C22⋊C4—2362no—
1266C2×C22⋊C4C22×D5911yescharacteristic
1267C2×C22⋊C4C22×D5911yescharacteristic
1268C2×C22⋊C4C22×D5911yescharacteristic
1269C2×C22⋊C4C22×D5911yescharacteristic
1270C2×C22⋊C4C22×D5911yescharacteristic
1271C2×C22⋊C4C22×D5911yescharacteristic
1272C2×C22⋊C4C22×D5911yescharacteristic
1273C2×C22⋊C4C22×D5911yescharacteristic
1274C2×C22⋊C4C22×D5911yescharacteristic
1275C2×C22⋊C4C22×D5911yescharacteristic
1276C2×C22⋊C4C22×D5911yescharacteristic
1277C2×C22⋊C4C22×D5911yescharacteristic
1278C2×C22⋊C4C22×D5911yescharacteristic
1279C2×C22⋊C4C22×D5911yescharacteristic
1280C2×C22⋊C4C22×D5911yescharacteristic
1281C2×C22⋊C4C22×D5911yescharacteristic
1282C2×C42—591no—
1283C2×C42—591no—
1284C2×C42—591no—
1285C2×C42—591no—
1286C2×C42—591no—
1287C2×C42—591no—
1288C2×C42—591no—
1289C2×C42—591no—
1290C2×C42—591no—
1291C2×C42—591no—
1292C2×C42—591no—
1293C2×C42—591no—
1294C2×C42—2362no—
1295C2×C42—2362no—
1296C2×C42C22×D5911yescharacteristic
1297C2×C42C22×D5911yescharacteristic
1298C2×C42C22×D5911yescharacteristic
1299#95—591no—
1300#95—591no—
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#95C22×D5911yescharacteristic
1314#95C22×D5911yescharacteristic
1315#95C22×D5911yescharacteristic
1316#95C22×D5911yescharacteristic
1317#95C22×D5911yescharacteristic
1318#95C22×D5911yescharacteristic
1319C24—22no—
1320C24—22no—
1321C24—22no—
1322C24—41no—
1323C24—41no—
1324C24—41no—
1325C24—41no—
1326C24—591no—
1327C24—591no—
1328C24—591no—
1329C24—591no—
1330C24—1182no—
1331C24—1182no—
1332C24—1182no—
1333C24—2361no—
1334C24—2361no—
1335C24—2361no—
1336C24—2361no—
1337C24C23×D5911yescharacteristic
1338C24C23×D5911yescharacteristic
1339C24C23×D5911yescharacteristic
1340C24C23×D5911yescharacteristic
1341C2×Q8—1182no—
1342C2×Q8—1182no—
1343C2×Q8—2361no—
1344C2×Q8—2361no—
1345C2×Q8—2361no—
1346C2×Q8—2361no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—594no—
1357C2×D4—1182no—
1358C2×D4—1182no—
1359C2×D4—1182no—
1360C2×D4—1182no—
1361C2×D4—1182no—
1362C2×D4—1182no—
1363C2×D4—1182no—
1364C2×D4—1182no—
1365C2×D4—1182no—
1366C2×D4—1182no—
1367C2×D4—1182no—
1368C2×D4—1182no—
1369C2×D4—1182no—
1370C2×D4—1182no—
1371C2×D4—1182no—
1372C2×D4—1182no—
1373C2×D4—1182no—
1374C2×D4—1182no—
1375C2×D4—1182no—
1376C2×D4—1182no—
1377C2×D4—1182no—
1378C2×D4—1182no—
1379C2×D4—1182no—
1380C2×D4—1182no—
1381C2×D4—1182no—
1382C2×D4—1182no—
1383C2×D4—1182no—
1384C2×D4—1182no—
1385C2×D4—2361no—
1386C2×D4—2361no—
1387C2×D4—2361no—
1388C2×D4—2361no—
1389C2×D4—2361no—
1390C2×D4—2361no—
1391C2×D4—2361no—
1392C2×D4—2361no—
1393C2×D4—2361no—
1394C2×D4—2361no—
1395C2×D4—2361no—
1396C2×D4—2361no—
1397C2×D4—2361no—
1398C2×D4—2361no—
1399C2×D4—2361no—
1400C2×D4—2361no—
1401C2×D4—2361no—
1402C2×D4—2361no—
1403C2×D4—2361no—
1404C2×D4—2361no—
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—23616no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—591no—
1423C22×C4—594no—
1424C22×C4—591no—
1425C22×C4—591no—
1426C22×C4—591no—
1427C22×C4—591no—
1428C22×C4—591no—
1429C22×C4—594no—
1430C22×C4—591no—
1431C22×C4—591no—
1432C22×C4—591no—
1433C22×C4—591no—
1434C22×C4—591no—
1435C22×C4—591no—
1436C22×C4—1182no—
1437C22×C4—1182no—
1438C22×C4—1182no—
1439C22×C4—1182no—
1440C22×C4—1182no—
1441C22×C4—1182no—
1442C22×C4—1182no—
1443C22×C4—1182no—
1444C22×C4—1182no—
1445C22×C4—1182no—
1446C22×C4—1182no—
1447C22×C4—2361no—
1448C22×C4—2361no—
1449C22×C4—2361no—
1450C22×C4—2361no—
1451C22×C4—2361no—
1452C22×C4—2361no—
1453C22×C4—2361no—
1454C22×C4—2361no—
1455C22×C4D4×D5914yes—
1456C22×C4C23×D5911yescharacteristic
1457C22×C4C23×D5911yescharacteristic
1458C22×C4C23×D5911yescharacteristic
1459C22×C4C23×D5911yescharacteristic
1460C22×C4C23×D5911yescharacteristic
1461C22×C4C23×D5911yescharacteristic
1462C22×C4C23×D5911yescharacteristic
1463C22×C4C23×D5911yescharacteristic
1464C22×C4C23×D5911yescharacteristic
1465C22×C4C23×D5911yescharacteristic
1466C22×C4C23×D5911yescharacteristic
1467C4⋊C4—22no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—594no—
1471C4⋊C4—1182no—
1472C4⋊C4—1182no—
1473C4⋊C4—1182no—
1474C4⋊C4—1182no—
1475C4⋊C4—1182no—
1476C4⋊C4—1182no—
1477C4⋊C4—1182no—
1478C4⋊C4—1182no—
1479C4⋊C4—1182no—
1480C4⋊C4—1182no—
1481C4⋊C4—1182no—
1482C4⋊C4—1182no—
1483C4⋊C4—1182no—
1484C4⋊C4—1182no—
1485C4⋊C4—1182no—
1486C4⋊C4—1182no—
1487C4⋊C4—2361no—
1488C4⋊C4—2361no—
1489C4⋊C4—2361no—
1490C4⋊C4—2361no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—594no—
1507C22⋊C4—594no—
1508C22⋊C4—1182no—
1509C22⋊C4—1182no—
1510C22⋊C4—1182no—
1511C22⋊C4—1182no—
1512C22⋊C4—1182no—
1513C22⋊C4—1182no—
1514C22⋊C4—1182no—
1515C22⋊C4—1182no—
1516C22⋊C4—1182no—
1517C22⋊C4—1182no—
1518C22⋊C4—1182no—
1519C22⋊C4—1182no—
1520C22⋊C4—1182no—
1521C22⋊C4—1182no—
1522C22⋊C4—1182no—
1523C22⋊C4—1182no—
1524C22⋊C4—1182no—
1525C22⋊C4—1182no—
1526C22⋊C4—1182no—
1527C22⋊C4—1182no—
1528C22⋊C4—1182no—
1529C22⋊C4—1182no—
1530C22⋊C4—1182no—
1531C22⋊C4—1182no—
1532C22⋊C4—1182no—
1533C22⋊C4—1182no—
1534C22⋊C4—1182no—
1535C22⋊C4—1182no—
1536C22⋊C4—1182no—
1537C22⋊C4—1182no—
1538C22⋊C4—2361no—
1539C22⋊C4—2361no—
1540C22⋊C4—2361no—
1541C22⋊C4—2361no—
1542C22⋊C4—2361no—
1543C22⋊C4—2361no—
1544C22⋊C4—2361no—
1545C22⋊C4—2361no—
1546C22⋊C4—2361no—
1547C22⋊C4—2361no—
1548C22⋊C4—2361no—
1549C22⋊C4—2361no—
1550C22⋊C4#1174568514yes—
1551C42—22no—
1552C42—41no—
1553C42—41no—
1554C42—594no—
1555C42—1182no—
1556C42—1182no—
1557C42—1182no—
1558C42—1182no—
1559C42—1182no—
1560C42—1182no—
1561C42—1182no—
1562C42—1182no—
1563C42—2361no—
1564C42—2361no—
1565C42—2361no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—44no—
1592C23—44no—
1593C23—44no—
1594C23—82no—
1595C23—82no—
1596C23—82no—
1597C23—82no—
1598C23—592no—
1599C23—1181no—
1600C23—1181no—
1601C23—1181no—
1602C23—1181no—
1603C23—1181no—
1604C23—1181no—
1605C23—1181no—
1606C23—1181no—
1607C23—1181no—
1608C23—1181no—
1609C23—1181no—
1610C23—1181no—
1611C23—1181no—
1612C23—1181no—
1613C23—1181no—
1614C23—1181no—
1615C23—1181no—
1616C23—1181no—
1617C23—1181no—
1618C23—1181no—
1619C23—1181no—
1620C23—1181no—
1621C23—1181no—
1622C23—1181no—
1623C23—1181no—
1624C23—1181no—
1625C23—1181no—
1626C23—4722no—
1627C23—4722no—
1628C23—4722no—
1629C23—4722no—
1630C23—2364no—
1631C23—2364no—
1632C23—2364no—
1633C23C2×D4×D5912yes—
1634C23#41×D5912yes—
1635C23C2×#1174568512yes—
1636C23C24×D5911yescharacteristic
1637Q8—4722no—
1638Q8—4722no—
1639D4—44no—
1640D4—82no—
1641D4—82no—
1642D4—1188no—
1643D4—4722no—
1644D4—4722no—
1645D4—4722no—
1646D4—4722no—
1647D4—4722no—
1648D4—4722no—
1649D4—4722no—
1650D4—4722no—
1651D4—4722no—
1652D4—4722no—
1653D4—4722no—
1654D4—4722no—
1655D4—2364no—
1656D4—2364no—
1657D4—2364no—
1658D4—2364no—
1659D4—2364no—
1660D4—2364no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
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—44no—
1691C2×C4—82no—
1692C2×C4—82no—
1693C2×C4—592no—
1694C2×C4—592no—
1695C2×C4—592no—
1696C2×C4—592no—
1697C2×C4—592no—
1698C2×C4—592no—
1699C2×C4—592no—
1700C2×C4—592no—
1701C2×C4—1188no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—1181no—
1706C2×C4—1181no—
1707C2×C4—1181no—
1708C2×C4—1181no—
1709C2×C4—1181no—
1710C2×C4—1181no—
1711C2×C4—1181no—
1712C2×C4—1181no—
1713C2×C4—1181no—
1714C2×C4—1181no—
1715C2×C4—1181no—
1716C2×C4—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—4722no—
1731C2×C4—4722no—
1732C2×C4—2364no—
1733C2×C4—2364no—
1734C2×C4—2364no—
1735C2×C4—2364no—
1736C2×C4C2×D4×D5912yes—
1737C2×C4C2×D4×D5912yes—
1738C2×C4C2×#1174568512yes—
1739C2×C4C2×#1174568512yes—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—88no—
1768C22—1182no—
1769C22—1182no—
1770C22—1182no—
1771C22—4728no—
1772C22—2361no—
1773C22—2361no—
1774C22—2361no—
1775C22—2361no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22—2361no—
1786C22—2361no—
1787C22—2361no—
1788C22—2361no—
1789C22—2361no—
1790C22—2361no—
1791C22—2361no—
1792C22—2361no—
1793C22—2361no—
1794C22—2361no—
1795C22—2361no—
1796C22—2361no—
1797C22#1683794914yes—
1798C22C22×D4×D5911yescharacteristic
1799C22C2×#41×D5911yescharacteristic
1800C22C22×#1174568511yescharacteristic
1801C22H(5,𝔽2)×D5911yescharacteristic
1802C22H(5,𝔽2)×D5911yescharacteristic
1803C22H(5,𝔽2)×D5911yescharacteristic
1804C22#1683823711yescharacteristic
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—594no—
1817C4—1182no—
1818C4—1182no—
1819C4—1182no—
1820C4—1182no—
1821C4—1182no—
1822C4—2361no—
1823C4—2361no—
1824C4—2361no—
1825C4—2361no—
1826C4—2361no—
1827C4—2361no—
1828C2—24no—
1829C2—81no—
1830C2—81no—
1831C2—81no—
1832C2—4721no—
1833C2—4721no—
1834C2—4721no—
1835C2—2362no—
1836C2C2×#1683794911yescharacteristic
1837C2#538×D5911yescharacteristic
1838C2#2143751511yescharacteristic
1839C2#2143785711yescharacteristic
1840C2#2143787111yescharacteristic
1841C2#2143804711yescharacteristic
1842C2#2143811811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2321C2
hypercenter#2321D59
hypocenterC59#35007
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
1. C2×#16837990C2semidirect
2. C2×#16837985C2semidirect
3. #21432462C2semidirect
4. #21432450C2semidirect
5. #21432440C2semidirect
6. #21432423C2semidirect
7. #21430239C2semidirect
8. #21430237C2semidirect
9. #21430228C2semidirect
10. #21430226C2semidirect
11. #21429172C2semidirect
12. #21429168C2semidirect
13. #21429162C2semidirect
14. #21429160C2semidirect
15. #21428679C2semidirect
16. #21428458C2semidirect
17. #21428227C2semidirect
18. #21428219C2semidirect
19. #21427858C2semidirect
20. #21427797C2semidirect
21. #21427731C2semidirect
22. #21427683C2semidirect
23. #21427630C2semidirect
24. #21427628C2semidirect
25. #21427535C2semidirect
26. #21427451C2semidirect
27. #21426756C2semidirect
28. C4×#14273699C2semidirect
29. C2×#16837302C2semidirect
30. C4×(C22⋊D59)⋊C4C2semidirect
31. C59×#2321C2semidirect
35. C2×#14273726C22semidirect
38. C2×#14273722C22semidirect
39. C2×#14273721C22semidirect
40. C2×#14273720C22semidirect
41. C2×#14273720C22semidirect
42. C2×#14273715C22semidirect
43. C2×#14273713C22semidirect
44. C2×#14273713C22semidirect
45. C2×#14273713C22semidirect
46. C2×#14273713C22semidirect
47. C2×#14273713C22semidirect
48. C2×#14273712C22semidirect
49. C2×#14273710C22semidirect
50. C2×#14273709C22semidirect
51. C2×#14273709C22semidirect
54. C2×#14273702C22semidirect
56. C2×#14273701C22semidirect
59. C2×#14273700C22semidirect
60. C2×#14273700C22semidirect
61. C2×#14273700C22semidirect
62. C2×#14273700C22semidirect
65. C2×#14273698C22semidirect
73. C2×C4×C22⋊D59C22semidirect
81. C2×C42×D59C22semidirect
82. #16837336C22semidirect
83. #16837335C22semidirect
84. #16837331C22semidirect
85. #16837330C22semidirect
86. #16837326C22semidirect
87. #16837325C22semidirect
88. #16837325C22semidirect
89. #16837324C22semidirect
90. #16837323C22semidirect
91. #16837322C22semidirect
92. #16837320C22semidirect
93. #16837320C22semidirect
94. #16837319C22semidirect
95. #16837318C22semidirect
96. #16837318C22semidirect
97. #16837318C22semidirect
100. #16837317C22semidirect
101. #16837317C22semidirect
102. #16837317C22semidirect
103. #16837316C22semidirect
104. #16837315C22semidirect
105. #16837314C22semidirect
106. #16837312C22semidirect
113. #16837310C22semidirect
114. #16837305C22semidirect
115. #16837304C22semidirect
116. #16837304C22semidirect
117. #16837303C22semidirect
130. #16837302C22semidirect
131. #16837302C22semidirect
132. #16837302C22semidirect
133. #16837302C22semidirect
134. #16837299C22semidirect
135. #16837299C22semidirect
136. #16837299C22semidirect
137. #16837297C22semidirect
138. #16837296C22semidirect
139. #16837295C22semidirect
140. #16837294C22semidirect
141. #16837294C22semidirect
142. #16837294C22semidirect
143. #16837294C22semidirect
144. #16837293C22semidirect
145. #16837293C22semidirect
146. #16837292C22semidirect
147. #16837291C22semidirect
148. #16837290C22semidirect
149. #16837290C22semidirect
151. #16837280C22semidirect
152. #16837280C22semidirect
153. #16837280C22semidirect
156. #16837278C22semidirect
158. #16837271C22semidirect
159. #16837261C22semidirect
162. C4×Dic59⋊C4C22semidirect
163. C4×Dic59⋊C4C22semidirect
164. #16837253C22semidirect
165. #16837253C22semidirect
168. C4×(C2×D59)⋊C4C22semidirect
169. C4×(C2×D59)⋊C4C22semidirect
170. C4×C22⋊Dic59C22semidirect
171. #16837249C22semidirect
172. #16837249C22semidirect
173. C42×Dic59C22semidirect
177. C59×#390C22semidirect
178. C59×#390C22semidirect
179. C59×#388C22semidirect
180. C59×#388C22semidirect
181. C59×#388C22semidirect
182. C59×#388C22semidirect
184. C59×#386C22semidirect
185. C59×#386C22semidirect
259. C4×C22⋊D59D4semidirect
538. C2×C4×D59C2×D4semidirect
610. (C2×D59)⋊C4C2×D4semidirect
631. Dic59⋊C4C2×D4semidirect
643. C4×Dic59C2×D4semidirect
906. Dic59#538semidirect
934. #2321D59semidirect
1058. #390C2×D59semidirect
1059. #390C2×D59semidirect
1076. #388C2×D59semidirect
1077. #388C2×D59semidirect
1078. #388C2×D59semidirect
1079. #388C2×D59semidirect
1088. #386C2×D59semidirect
1089. #386C2×D59semidirect
1110. C59#35007semidirect

Maximal subgroups

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

subgroupindex
C2×#168379902
C2×#168379852
#214324622
#214324502
#214324402
#214324232
#214302392
#214302372
#214302282
#214302262
#214291722
#214291682
#214291622
#214291602
#214286792
#214284582
#214282272
#214282192
#214278582
#214277972
#214277312
#214276832
#214276302
#214276282
#214275352
#214274512
#214267562
C4×#142736992
C2×#168373022
C4×(C22⋊D59)⋊C42
C59×#23212
#3500759