Finite Group Databasebeta

← #28761366

Subgroups — #28761366

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×#16837985C211yesmaximal, characteristic, complemented
2C22×C4×C22⋊D59C211yesmaximal, characteristic, complemented
3#21432413C211yesmaximal, characteristic, complemented
4#21432393C211yesmaximal, characteristic, complemented
5#21432391C211yesmaximal, characteristic, complemented
6#21432377C211yesmaximal, characteristic, complemented
7#21429999C211yesmaximal, characteristic, complemented
8#21429984C211yesmaximal, characteristic, complemented
9#21429952C211yesmaximal, characteristic, complemented
10#21429941C211yesmaximal, characteristic, complemented
11#21428357C211yesmaximal, characteristic, complemented
12#21428222C211yesmaximal, characteristic, complemented
13#21428147C211yesmaximal, characteristic, complemented
14#21428033C211yesmaximal, characteristic, complemented
15#21427988C211yesmaximal, characteristic, complemented
16#21427982C211yesmaximal, characteristic, complemented
17#21427922C211yesmaximal, characteristic, complemented
18#21427848C211yesmaximal, characteristic, complemented
19#21427825C211yesmaximal, characteristic, complemented
20#21427762C211yesmaximal, characteristic, complemented
21#21427634C211yesmaximal, characteristic, complemented
22#21427626C211yesmaximal, characteristic, complemented
23#21427560C211yesmaximal, characteristic, complemented
24#21427471C211yesmaximal, characteristic, complemented
25#21427471C211yesmaximal, characteristic, complemented
26#21427409C211yesmaximal, characteristic, complemented
27#21426794C211yesmaximal, characteristic, complemented
28#21426756C211yesmaximal, characteristic, complemented
29#21426723C211yesmaximal, characteristic, complemented
30C2×#16837281C211yesmaximal, characteristic, complemented
31C4×#120×C59C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C23×C22⋊D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic, complemented
35#16837985—28no—
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273721C2211yescharacteristic, complemented
38C2×#14273715C2211yescharacteristic, complemented
39C2×#14273713C2211yescharacteristic, complemented
40C2×#14273712C2211yescharacteristic, complemented
41C2×#14273712C2211yescharacteristic, complemented
42C2×#14273710C2211yescharacteristic, complemented
43C2×#14273704C2211yescharacteristic, complemented
44C2×#14273704C2211yescharacteristic, complemented
45C2×#14273701C2211yescharacteristic, complemented
46C2×#14273700C2211yescharacteristic, complemented
47C2×#14273700C2211yescharacteristic, complemented
48C2×#14273699C2211yescharacteristic
49C2×#14273699C2211yescharacteristic
50C2×#14273699C2211yescharacteristic
51C2×#14273699C2211yescharacteristic
52C2×#14273697C2211yescharacteristic
53C2×#14273697C2211yescharacteristic
54C2×#14273697C2211yescharacteristic
55C2×#14273697C2211yescharacteristic
56C2×#14273695C2211yescharacteristic, complemented
57C2×#14273695C2211yescharacteristic, complemented
58C2×C4×C22⋊D59—28no—
59C2×C4×C22⋊D59C2211yescharacteristic
60C2×C4×C22⋊D59C2211yescharacteristic
61C2×C4×C22⋊D59C2211yescharacteristic
62C2×C4×C22⋊D59C2211yescharacteristic
63C2×C4×C22⋊D59C2211yescharacteristic, complemented
64C2×C4×C22⋊D59C2211yescharacteristic, complemented
65C2×C4×C22⋊D59C2211yescharacteristic, complemented
66C2×C4×C22⋊D59C2211yescharacteristic, complemented
67C22×Dic59⋊C4C2211yescharacteristic, complemented
68C22×C22⋊Dic59C2211yescharacteristic
69C22×C22⋊Dic59C2211yescharacteristic
70C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
71C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
72C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
73C22×C4×Dic59C2211yescharacteristic, complemented
74#16837343C2211yescharacteristic, complemented
75#16837343C2211yescharacteristic, complemented
76#16837338C2211yescharacteristic, complemented
77#16837337C2211yescharacteristic, complemented
78#16837333C2211yescharacteristic, complemented
79#16837331C2211yescharacteristic, complemented
80#16837330C2211yescharacteristic, complemented
81#16837329C2211yescharacteristic, complemented
82#16837326C2211yescharacteristic, complemented
83#16837325C2211yescharacteristic, complemented
84#16837325C2211yescharacteristic, complemented
85#16837324C2211yescharacteristic, complemented
86#16837320C2211yescharacteristic, complemented
87#16837320C2211yescharacteristic, complemented
88#16837319C2211yescharacteristic, complemented
89#16837318C2211yescharacteristic, complemented
90#16837317C2211yescharacteristic, complemented
91#16837317C2211yescharacteristic, complemented
92#16837317C2211yescharacteristic, complemented
93#16837317C2211yescharacteristic, complemented
94#16837317C2211yescharacteristic, complemented
95#16837315C2211yescharacteristic, complemented
96#16837314C2211yescharacteristic, complemented
97#16837311C2211yescharacteristic
98#16837311C2211yescharacteristic
99#16837311C2211yescharacteristic
100#16837311C2211yescharacteristic
101#16837311C2211yescharacteristic, complemented
102#16837310C2211yescharacteristic, complemented
103#16837310C2211yescharacteristic, complemented
104#16837310C2211yescharacteristic, complemented
105#16837310C2211yescharacteristic, complemented
106#16837306C2211yescharacteristic, complemented
107#16837304C2211yescharacteristic, complemented
108#16837304C2211yescharacteristic, complemented
109#16837302C2211yescharacteristic, complemented
110#16837295C2211yescharacteristic, complemented
111#16837294C2211yescharacteristic, complemented
112#16837294C2211yescharacteristic, complemented
113#16837293C2211yescharacteristic, complemented
114#16837293C2211yescharacteristic, complemented
115#16837293C2211yescharacteristic, complemented
116#16837293C2211yescharacteristic, complemented
117#16837293C2211yescharacteristic, complemented
118#16837292C2211yescharacteristic, complemented
119#16837291C2211yescharacteristic, complemented
120#16837291C2211yescharacteristic, complemented
121#16837290C2211yescharacteristic, complemented
122#16837288C2211yescharacteristic, complemented
123#16837286C2211yescharacteristic, complemented
124#16837286C2211yescharacteristic, complemented
125#16837286C2211yescharacteristic, complemented
126#16837285C2211yescharacteristic, complemented
127#16837283C2211yescharacteristic, complemented
128#16837282C2211yescharacteristic, complemented
129#16837282C2211yescharacteristic, complemented
130#16837281C2211yescharacteristic
131#16837281C2211yescharacteristic
132#16837281C2211yescharacteristic
133#16837281C2211yescharacteristic
134#16837281C2211yescharacteristic, complemented
135#16837281C2211yescharacteristic, complemented
136#16837281C2211yescharacteristic, complemented
137#16837281C2211yescharacteristic, complemented
138#16837281C2211yescharacteristic, complemented
139#16837280C2211yescharacteristic, complemented
140#16837280C2211yescharacteristic, complemented
141#16837280C2211yescharacteristic, complemented
142#16837280C2211yescharacteristic, complemented
143#16837279C2211yescharacteristic
144#16837279C2211yescharacteristic
145#16837279C2211yescharacteristic
146#16837279C2211yescharacteristic
147#16837279C2211yescharacteristic
148#16837279C2211yescharacteristic
149#16837279C2211yescharacteristic
150#16837279C2211yescharacteristic
151#16837278C2211yescharacteristic, complemented
152#16837278C2211yescharacteristic, complemented
153#16837277C2211yescharacteristic, complemented
154#16837277C2211yescharacteristic, complemented
155#16837275C2211yescharacteristic, complemented
156#16837274C2211yescharacteristic, complemented
157#16837274C2211yescharacteristic, complemented
158#16837274C2211yescharacteristic, complemented
159#16837274C2211yescharacteristic, complemented
160#16837273C2211yescharacteristic, complemented
161#16837273C2211yescharacteristic, complemented
162#16837269C2211yescharacteristic, complemented
163#16837266C2211yescharacteristic, complemented
164#16837264C2211yescharacteristic, complemented
165#16837264C2211yescharacteristic, complemented
166#16837261C2211yescharacteristic, complemented
167#16837261C2211yescharacteristic, complemented
168#16837260C2211yescharacteristic, complemented
169#16837260C2211yescharacteristic, complemented
170#16837257C2211yescharacteristic, complemented
171#16837257C2211yescharacteristic, complemented
172C2×C59⋊#95C2211yescharacteristic, complemented
173C2×C59⋊#95C2211yescharacteristic, complemented
174C24×C4×C59C2211yescharacteristic
175C2×#120×C59C2211yescharacteristic
176C2×C4×D4×C59C2211yescharacteristic, complemented
177C2×C4×D4×C59C2211yescharacteristic, complemented
178C2×C4×D4×C59C2211yescharacteristic, complemented
179C59×#386C2211yescharacteristic, complemented
180C59×#386C2211yescharacteristic, complemented
181C59×#386C2211yescharacteristic, complemented
182C59×#385C2211yescharacteristic, complemented
183C59×#385C2211yescharacteristic, complemented
184C59×#385C2211yescharacteristic, complemented
185C59×#379C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C4×C22⋊C4×C59C2211yescharacteristic, complemented
188C4×C22⋊C4×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×C22⋊D59—24no—
197C22×C22⋊D59—24no—
198C22×C22⋊D59—24no—
199C22×C22⋊D59—24no—
200C22×C22⋊D59—42no—
201C22×C22⋊D59—42no—
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
217C23×Dic59C2311yescharacteristic
218C23×Dic59C2311yescharacteristic
219C23×Dic59C2311yescharacteristic
220C22×C4×D59—24no—
221C22×C4×D59—42no—
222C22×C4×D59—42no—
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226C22×C4×D59C2311yescharacteristic
227#14273722—24no—
228#14273721—24no—
229#14273715—24no—
230#14273713—24no—
231#14273712—24no—
232#14273712—42no—
233#14273710—24no—
234#14273704—24no—
235#14273704—42no—
236#14273701—24no—
237#14273700—24no—
238#14273700—42no—
239#14273699—24no—
240#14273699—24no—
241#14273699—42no—
242#14273699—42no—
243#14273697—24no—
244#14273697—24no—
245#14273697—42no—
246#14273697—42no—
247#14273695—24no—
248#14273695—42no—
249C4×C22⋊D59—24no—
250C4×C22⋊D59—24no—
251C4×C22⋊D59—24no—
252C4×C22⋊D59—24no—
253C4×C22⋊D59—24no—
254C4×C22⋊D59—24no—
255C4×C22⋊D59—24no—
256C4×C22⋊D59D418yescomplemented
257C2×C4⋊Dic59C2311yescharacteristic
258C2×C4⋊Dic59C2311yescharacteristic
259C2×C4⋊Dic59C2311yescharacteristic
260C2×Dic59⋊C4—24no—
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×C22⋊Dic59—24no—
276C2×C22⋊Dic59—42no—
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×(C2×D59)⋊C4—24no—
290C2×(C2×D59)⋊C4—24no—
291C2×(C2×D59)⋊C4—42no—
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
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×C4×Dic59—24no—
325C2×C4×Dic59C2311yescharacteristic
326C2×C4×Dic59C2311yescharacteristic
327C2×C4×Dic59C2311yescharacteristic
328C2×C4×Dic59C2311yescharacteristic
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
354C59⋊#95C2311yescharacteristic
355C25×C59C2311yescharacteristic
356C22×D4×C59C2311yescharacteristic
357C22×D4×C59C2311yescharacteristic
358C22×D4×C59C2311yescharacteristic
359C23×C4×C59—24no—
360C23×C4×C59—42no—
361C23×C4×C59—42no—
362C23×C4×C59C2311yescharacteristic
363C23×C4×C59C2311yescharacteristic
364C23×C4×C59C2311yescharacteristic
365C23×C4×C59C2311yescharacteristic
366C23×C4×C59C2311yescharacteristic
367C23×C4×C59C2311yescharacteristic
368C23×C4×C59C2311yescharacteristic
369#120×C59—24no—
370C4×D4×C59—24no—
371C4×D4×C59—42no—
372C4×D4×C59—42no—
373C2×C4⋊C4×C59C2311yescharacteristic
374C2×C4⋊C4×C59C2311yescharacteristic
375C2×C4⋊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—22no—
401C24×C59—41no—
402C24×C59—41no—
403C24×C59#4114yes—
404C24×C59C2411yescharacteristic
405C24×C59C2411yescharacteristic
406C24×C59C2411yescharacteristic
407C24×C59C2411yescharacteristic
408C23×D59—22no—
409C23×D59—22no—
410C23×D59—22no—
411C23×D59—22no—
412C23×D59—22no—
413C23×D59—22no—
414C23×D59—22no—
415C23×D59—22no—
416C23×D59—41no—
417C23×D59—41no—
418C23×D59—41no—
419C23×D59—41no—
420C23×D59—41no—
421C23×D59—41no—
422C23×D59C2411yescharacteristic
423C23×D59C2411yescharacteristic
424C23×D59C2411yescharacteristic
425C23×D59C2411yescharacteristic
426C2×D4×C59—22no—
427C2×D4×C59—22no—
428C2×D4×C59—22no—
429C2×D4×C59—22no—
430C2×D4×C59—22no—
431C2×D4×C59—22no—
432C2×D4×C59—22no—
433C2×D4×C59—41no—
434C2×D4×C59—41no—
435C22×C4×C59—22no—
436C22×C4×C59—22no—
437C22×C4×C59—22no—
438C22×C4×C59—22no—
439C22×C4×C59—22no—
440C22×C4×C59—22no—
441C22×C4×C59—22no—
442C22×C4×C59—22no—
443C22×C4×C59—22no—
444C22×C4×C59—22no—
445C22×C4×C59—22no—
446C22×C4×C59—41no—
447C22×C4×C59—41no—
448C22×C4×C59—41no—
449C22×C4×C59—41no—
450C22×C4×C59—41no—
451C22×C4×C59—41no—
452C22×C4×C59—41no—
453C22×C4×C59—41no—
454C22×C4×C59—41no—
455C22×C4×C59—416no—
456C22×C4×C59C2×D414yes—
457C22×C4×C59C2411yescharacteristic
458C22×C4×C59C2411yescharacteristic
459C22×C4×C59C2411yescharacteristic
460C22×C4×C59C2411yescharacteristic
461C22×C4×C59C2411yescharacteristic
462C22×C4×C59C2411yescharacteristic
463C22×C4×C59C2411yescharacteristic
464C22×C4×C59C2411yescharacteristic
465C22×C4×C59C2411yescharacteristic
466C22×C4×C59C2411yescharacteristic
467C22×C4×C59C2411yescharacteristic
468C2×C22⋊D59—232no—
469C2×C22⋊D59—22no—
470C2×C22⋊D59—22no—
471C2×C22⋊D59—22no—
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—22no—
487C2×C22⋊D59—22no—
488C2×C22⋊D59—22no—
489C2×C22⋊D59—22no—
490C2×C22⋊D59—22no—
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—41no—
503C2×C22⋊D59—416no—
504C2×C22⋊D59C2×D414yes—
505C2×C22⋊D59#4114yes—
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—41no—
517C22×Dic59—41no—
518C22×Dic59—41no—
519C22×Dic59—41no—
520C22×Dic59—41no—
521C22×Dic59—41no—
522C22×Dic59—41no—
523C22×Dic59—41no—
524C22×Dic59C2411yescharacteristic
525C22×Dic59C2411yescharacteristic
526C22×Dic59C2411yescharacteristic
527C22×Dic59C2411yescharacteristic
528C22×Dic59C2411yescharacteristic
529C22×Dic59C2411yescharacteristic
530C22×Dic59C2411yescharacteristic
531C22×Dic59C2411yescharacteristic
532C22×Dic59C2411yescharacteristic
533C22×Dic59C2411yescharacteristic
534C22×Dic59C2411yescharacteristic
535C22×Dic59C2411yescharacteristic
536C2×D236—22no—
537C2×D236—22no—
538C2×D236—22no—
539C2×D236—22no—
540C2×D236—41no—
541C2×D236—41no—
542C2×D236—41no—
543C2×D236—41no—
544C2×D236—41no—
545C2×D236—41no—
546C2×D236—41no—
547C2×D236—41no—
548C2×C4×D59—22no—
549C2×C4×D59—22no—
550C2×C4×D59—22no—
551C2×C4×D59—22no—
552C2×C4×D59—22no—
553C2×C4×D59—41no—
554C2×C4×D59—41no—
555C2×C4×D59—41no—
556C2×C4×D59—41no—
557C2×C4×D59—41no—
558C2×C4×D59—41no—
559C2×C4×D59—416no—
560C2×C4×D59C2×D414yescomplemented
561C2×Dic118—22no—
562C2×Dic118—41no—
563C2×Dic118—41no—
564C4⋊C4×C59—22no—
565C4⋊C4×C59—22no—
566C4⋊C4×C59—41no—
567C22⋊C4×C59—22no—
568C22⋊C4×C59—22no—
569C22⋊C4×C59—22no—
570C22⋊C4×C59—22no—
571C22⋊C4×C59—22no—
572C22⋊C4×C59—22no—
573C22⋊C4×C59—22no—
574C22⋊C4×C59—22no—
575C22⋊C4×C59—22no—
576C22⋊C4×C59—41no—
577C22⋊C4×C59—41no—
578C22⋊C4×C59—41no—
579C42×C59—22no—
580C42×C59—41no—
581C42×C59—41no—
582C22⋊Dic59—22no—
583C22⋊Dic59—22no—
584C22⋊Dic59—22no—
585C22⋊Dic59—22no—
586C22⋊Dic59—22no—
587C22⋊Dic59—22no—
588C22⋊Dic59—22no—
589C22⋊Dic59—41no—
590C22⋊Dic59—41no—
591C22⋊Dic59—41no—
592C22⋊Dic59—41no—
593C22⋊Dic59C2×D414yes—
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—22no—
602(C2×D59)⋊C4—22no—
603(C2×D59)⋊C4—22no—
604(C2×D59)⋊C4—22no—
605(C2×D59)⋊C4—22no—
606(C2×D59)⋊C4—22no—
607(C2×D59)⋊C4—22no—
608(C2×D59)⋊C4—22no—
609(C2×D59)⋊C4—22no—
610(C2×D59)⋊C4—22no—
611(C2×D59)⋊C4—41no—
612(C2×D59)⋊C4—41no—
613(C2×D59)⋊C4—41no—
614(C2×D59)⋊C4—41no—
615(C2×D59)⋊C4—41no—
616(C2×D59)⋊C4—41no—
617(C2×D59)⋊C4—41no—
618(C2×D59)⋊C4—41no—
619(C2×D59)⋊C4—41no—
620(C2×D59)⋊C4—41no—
621(C2×D59)⋊C4—41no—
622(C2×D59)⋊C4—41no—
623(C2×D59)⋊C4—41no—
624(C2×D59)⋊C4—41no—
625(C2×D59)⋊C4C2×D414yescomplemented
626C4⋊Dic59—22no—
627C4⋊Dic59—41no—
628C4⋊Dic59—41no—
629Dic59⋊C4—22no—
630Dic59⋊C4—22no—
631Dic59⋊C4—22no—
632Dic59⋊C4—22no—
633Dic59⋊C4—22no—
634Dic59⋊C4—22no—
635Dic59⋊C4—22no—
636Dic59⋊C4—41no—
637Dic59⋊C4—41no—
638Dic59⋊C4—41no—
639Dic59⋊C4—41no—
640Dic59⋊C4—41no—
641Dic59⋊C4—41no—
642Dic59⋊C4C2×D414yescomplemented
643C4×Dic59—22no—
644C4×Dic59—22no—
645C4×Dic59—22no—
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—21no—
658C23×C59—21no—
659C23×C59—21no—
660C23×C59—21no—
661C23×C59—21no—
662C23×C59—21no—
663C23×C59—21no—
664C23×C59—21no—
665C23×C59—21no—
666C23×C59—21no—
667C23×C59—21no—
668C23×C59—21no—
669C23×C59—21no—
670C23×C59—44no—
671C23×C59—44no—
672C23×C59—44no—
673C23×C59—44no—
674C23×C59—44no—
675C23×C59C22×D412yes—
676C23×C59C2×#4112yes—
677C23×C59C2×#4112yes—
678C23×C59C2×#4112yes—
679C23×C59C2×#4112yes—
680C23×C59H(5,𝔽2)12yes—
681C23×C59H(5,𝔽2)12yes—
682C23×C59C2511yescharacteristic
683C22×D59—28no—
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—21no—
708C22×D59—21no—
709C22×D59—21no—
710C22×D59—44no—
711C22×D59—44no—
712C22×D59—44no—
713C22×D59—44no—
714C22×D59—44no—
715C22×D59—44no—
716C22×D59—44no—
717C22×D59—44no—
718C22×D59—44no—
719C22×D59—82no—
720C22×D59—82no—
721C22×D59—82no—
722C22×D59—82no—
723C22×D59C22×D412yes—
724C22×D59C2×#4112yes—
725D4×C59—44no—
726D4×C59—44no—
727D4×C59—44no—
728C2×C4×C59—28no—
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—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—44no—
760C2×C4×C59—44no—
761C2×C4×C59—44no—
762C2×C4×C59—44no—
763C2×C4×C59—44no—
764C2×C4×C59—82no—
765C2×C4×C59C22×D412yes—
766C2×C4×C59C22×D412yes—
767C2×C4×C59H(5,𝔽2)12yes—
768C22⋊D59—28no—
769C22⋊D59—28no—
770C22⋊D59—28no—
771C22⋊D59—28no—
772C22⋊D59—44no—
773C22⋊D59—44no—
774C22⋊D59—44no—
775C22⋊D59—44no—
776C22⋊D59—82no—
777C22⋊D59—82no—
778C22⋊D59—82no—
779C22⋊D59—82no—
780C2×Dic59—28no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—21no—
803C2×Dic59—21no—
804C2×Dic59—21no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—21no—
808C2×Dic59—21no—
809C2×Dic59—21no—
810C2×Dic59—21no—
811C2×Dic59—21no—
812C2×Dic59—21no—
813C2×Dic59—44no—
814C2×Dic59—44no—
815C2×Dic59—44no—
816C2×Dic59—82no—
817C2×Dic59—82no—
818C2×Dic59C22×D412yes—
819C2×Dic59C22×D412yes—
820C2×Dic59C22×D412yes—
821C2×Dic59C2×#4112yes—
822D236—82no—
823D236—82no—
824D236—82no—
825D236—82no—
826C4×D59—44no—
827C4×D59—44no—
828C4×D59—44no—
829C4×D59—44no—
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—416no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59#52514yes—
860C22×C59#53814yescomplemented
861C22×C59C23×D411yescharacteristic
862C22×C59C22×#4111yescharacteristic
863C22×C59C22×#4111yescharacteristic
864C22×C59C2×H(5,𝔽2)11yescharacteristic
865C22×C59C2×H(5,𝔽2)11yescharacteristic
866C22×C59C2×H(5,𝔽2)11yescharacteristic
867C22×C59#58511yescharacteristic
868C2×D59—22no—
869C2×D59—22no—
870C2×D59—22no—
871C2×D59—22no—
872C2×D59—22no—
873C2×D59—22no—
874C2×D59—416no—
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—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—22no—
901C4×C59—41no—
902C4×C59—41no—
903C4×C59—41no—
904C4×C59—41no—
905C4×C59—41no—
906C4×C59—41no—
907C4×C59—41no—
908C4×C59—41no—
909Dic59—22no—
910Dic59—22no—
911Dic59—22no—
912Dic59—22no—
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#2410—591no—
946#2403—591no—
947#2325—591no—
948#2321—591no—
949#2318—591no—
950C4×#120D5911yescharacteristic, complemented
951C2×#386—591no—
952C2×C59—24no—
953C2×C59—24no—
954C2×C59—42no—
955C2×C59—81no—
956C2×C59C2×#52511yescharacteristic
957C2×C59C2×#53811yescharacteristic
958C2×C59#345911yescharacteristic
959C2×C59#348411yescharacteristic
960C2×C59#348811yescharacteristic
961C2×C59#351311yescharacteristic
962C2×C59#351911yescharacteristic
963D59—42no—
964D59—42no—
965D59—81no—
966D59—81no—
967C23×D4—591no—
968C23×D4—591no—
969C24×C4—591no—
970C24×C4C2×D5911yescharacteristic
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×#121—591no—
987C2×#121—591no—
988C2×#120—591no—
989C2×#120—591no—
990C2×#120—591no—
991C2×#120—591no—
992C2×#120—591no—
993C2×#120—591no—
994C2×#120C2×D5911yescharacteristic
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—1188no—
1004C2×C4×D4C2×D5911yescharacteristic, complemented
1005C2×C4×D4C2×D5911yescharacteristic, complemented
1006C2×C4×D4C2×D5911yescharacteristic, complemented
1007C22×C4⋊C4—591no—
1008C22×C22⋊C4—591no—
1009C22×C22⋊C4—591no—
1010C22×C22⋊C4—591no—
1011C22×C22⋊C4—591no—
1012C22×C22⋊C4—591no—
1013C22×C42—591no—
1014#400—591no—
1015#400—591no—
1016#399—591no—
1017#399—591no—
1018#398—591no—
1019#397—591no—
1020#397—591no—
1021#397—591no—
1022#396—591no—
1023#396—591no—
1024#396—591no—
1025#396—591no—
1026#394—591no—
1027#394—591no—
1028#394—591no—
1029#394—591no—
1030#394—591no—
1031#394—591no—
1032#394—591no—
1033#394—591no—
1034#394—591no—
1035#393—591no—
1036#393—591no—
1037#392—591no—
1038#392—591no—
1039#392—591no—
1040#392—591no—
1041#392—591no—
1042#392—591no—
1043#392—591no—
1044#392—591no—
1045#392—591no—
1046#391—591no—
1047#390—591no—
1048#390—591no—
1049#390—591no—
1050#388—591no—
1051#388—591no—
1052#388—591no—
1053#388—591no—
1054#388—591no—
1055#388—591no—
1056#388—591no—
1057#388—591no—
1058#388—591no—
1059#388—591no—
1060#388—591no—
1061#388—591no—
1062#387—591no—
1063#387—591no—
1064#387—591no—
1065#387—591no—
1066#387—591no—
1067#387—591no—
1068#386—591no—
1069#386—591no—
1070#386—591no—
1071#386—591no—
1072#386—591no—
1073#386—591no—
1074#386—591no—
1075#386—591no—
1076#386—591no—
1077#386—591no—
1078#386—591no—
1079#386—591no—
1080#386—591no—
1081#386—591no—
1082#386—591no—
1083#386—591no—
1084#386—591no—
1085#386—591no—
1086#386—591no—
1087#386—591no—
1088#386—591no—
1089#386—591no—
1090#386—591no—
1091#386—591no—
1092#386—591no—
1093#386C2×D5911yescharacteristic, complemented
1094#386C2×D5911yescharacteristic, complemented
1095#386C2×D5911yescharacteristic, complemented
1096#385—591no—
1097#385—591no—
1098#385—591no—
1099#385—591no—
1100#385—591no—
1101#385—591no—
1102#385—591no—
1103#385—591no—
1104#385—591no—
1105#385C2×D5911yescharacteristic, complemented
1106#385C2×D5911yescharacteristic, complemented
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
1119C4×C22⋊C4C2×D5911yescharacteristic, complemented
1120C4×C22⋊C4C2×D5911yescharacteristic, complemented
1121C4×C22⋊C4C2×D5911yescharacteristic, complemented
1122C2×#95—591no—
1123C2×#95—591no—
1124C59#3499011yescharacteristic, complemented, Sylow
1125C25—591no—
1126C25—591no—
1127C25C22×D5911yescharacteristic
1128C22×Q8—591no—
1129C22×D4—591no—
1130C22×D4—591no—
1131C22×D4—591no—
1132C22×D4—591no—
1133C22×D4—591no—
1134C22×D4—591no—
1135C22×D4—591no—
1136C22×D4—591no—
1137C22×D4—591no—
1138C22×D4—591no—
1139C22×D4—591no—
1140C22×D4—591no—
1141C22×D4—591no—
1142C22×D4—591no—
1143C22×D4—591no—
1144C22×D4—591no—
1145C22×D4—1184no—
1146C22×D4—1184no—
1147C22×D4—1184no—
1148C22×D4—1184no—
1149C22×D4—2362no—
1150C22×D4—2362no—
1151C22×D4C22×D5911yescharacteristic
1152C22×D4C22×D5911yescharacteristic
1153C22×D4C22×D5911yescharacteristic
1154C23×C4—24no—
1155C23×C4—42no—
1156C23×C4—42no—
1157C23×C4—591no—
1158C23×C4—591no—
1159C23×C4—591no—
1160C23×C4—591no—
1161C23×C4—591no—
1162C23×C4—591no—
1163C23×C4—591no—
1164C23×C4—591no—
1165C23×C4—591no—
1166C23×C4—591no—
1167C23×C4—1184no—
1168C23×C4—2362no—
1169C23×C4—2362no—
1170C23×C4C22×D5911yescharacteristic
1171C23×C4C22×D5911yescharacteristic
1172C23×C4C22×D5911yescharacteristic
1173C23×C4C22×D5911yescharacteristic
1174C23×C4C22×D5911yescharacteristic
1175C23×C4C22×D5911yescharacteristic
1176C23×C4C22×D5911yescharacteristic
1177#126—1184no—
1178#126—1184no—
1179#124—1184no—
1180#124—1184no—
1181#123—1184no—
1182#123—1184no—
1183#123—2362no—
1184C22⋊Q8—1184no—
1185C22⋊Q8—2362no—
1186#121—1184no—
1187#121—1184no—
1188#121—1184no—
1189#121—1184no—
1190#121—2362no—
1191#121—2362no—
1192#121—2362no—
1193#120—24no—
1194#120—1184no—
1195#120—1184no—
1196#120—1184no—
1197#120—2362no—
1198#120—2362no—
1199#120—2362no—
1200C4×D4—24no—
1201C4×D4—42no—
1202C4×D4—42no—
1203C4×D4—598no—
1204C4×D4—1184no—
1205C4×D4—1184no—
1206C4×D4—1184no—
1207C4×D4—1184no—
1208C4×D4—1184no—
1209C4×D4—1184no—
1210C4×D4—1184no—
1211C2×C4⋊C4—591no—
1212C2×C4⋊C4—591no—
1213C2×C4⋊C4—591no—
1214C2×C4⋊C4—591no—
1215C2×C4⋊C4—591no—
1216C2×C4⋊C4—591no—
1217C2×C4⋊C4—591no—
1218C2×C4⋊C4—591no—
1219C2×C4⋊C4—591no—
1220C2×C4⋊C4—591no—
1221C2×C4⋊C4—591no—
1222C2×C4⋊C4—591no—
1223C2×C4⋊C4—591no—
1224C2×C4⋊C4—591no—
1225C2×C4⋊C4—591no—
1226C2×C4⋊C4—591no—
1227C2×C4⋊C4—591no—
1228C2×C4⋊C4—1184no—
1229C2×C4⋊C4C22×D5911yescharacteristic
1230C2×C4⋊C4C22×D5911yescharacteristic
1231C2×C4⋊C4C22×D5911yescharacteristic
1232C2×C22⋊C4—591no—
1233C2×C22⋊C4—591no—
1234C2×C22⋊C4—591no—
1235C2×C22⋊C4—591no—
1236C2×C22⋊C4—591no—
1237C2×C22⋊C4—591no—
1238C2×C22⋊C4—591no—
1239C2×C22⋊C4—591no—
1240C2×C22⋊C4—591no—
1241C2×C22⋊C4—591no—
1242C2×C22⋊C4—591no—
1243C2×C22⋊C4—591no—
1244C2×C22⋊C4—591no—
1245C2×C22⋊C4—591no—
1246C2×C22⋊C4—591no—
1247C2×C22⋊C4—591no—
1248C2×C22⋊C4—591no—
1249C2×C22⋊C4—591no—
1250C2×C22⋊C4—591no—
1251C2×C22⋊C4—591no—
1252C2×C22⋊C4—591no—
1253C2×C22⋊C4—591no—
1254C2×C22⋊C4—591no—
1255C2×C22⋊C4—591no—
1256C2×C22⋊C4—591no—
1257C2×C22⋊C4—591no—
1258C2×C22⋊C4—591no—
1259C2×C22⋊C4—591no—
1260C2×C22⋊C4—591no—
1261C2×C22⋊C4—591no—
1262C2×C22⋊C4—591no—
1263C2×C22⋊C4—591no—
1264C2×C22⋊C4—591no—
1265C2×C22⋊C4—591no—
1266C2×C22⋊C4—591no—
1267C2×C22⋊C4—591no—
1268C2×C22⋊C4—591no—
1269C2×C22⋊C4—591no—
1270C2×C22⋊C4—591no—
1271C2×C22⋊C4—591no—
1272C2×C22⋊C4—591no—
1273C2×C22⋊C4—591no—
1274C2×C22⋊C4—591no—
1275C2×C22⋊C4—591no—
1276C2×C22⋊C4—1184no—
1277C2×C22⋊C4—1184no—
1278C2×C22⋊C4—1184no—
1279C2×C22⋊C4—2362no—
1280C2×C22⋊C4—2362no—
1281C2×C22⋊C4C22×D5911yescharacteristic
1282C2×C22⋊C4C22×D5911yescharacteristic
1283C2×C22⋊C4C22×D5911yescharacteristic
1284C2×C22⋊C4C22×D5911yescharacteristic
1285C2×C22⋊C4C22×D5911yescharacteristic
1286C2×C22⋊C4C22×D5911yescharacteristic
1287C2×C22⋊C4C22×D5911yescharacteristic
1288C2×C22⋊C4C22×D5911yescharacteristic
1289C2×C22⋊C4C22×D5911yescharacteristic
1290C2×C22⋊C4C22×D5911yescharacteristic
1291C2×C22⋊C4C22×D5911yescharacteristic
1292C2×C22⋊C4C22×D5911yescharacteristic
1293C2×C42—591no—
1294C2×C42—591no—
1295C2×C42—591no—
1296C2×C42—591no—
1297C2×C42—1184no—
1298C2×C42C22×D5911yescharacteristic
1299C2×C42C22×D5911yescharacteristic
1300C2×C42C22×D5911yescharacteristic
1301#95—591no—
1302#95—591no—
1303#95—591no—
1304#95—591no—
1305#95—591no—
1306#95—591no—
1307#95—591no—
1308#95—591no—
1309#95—591no—
1310#95—591no—
1311#95—591no—
1312#95—591no—
1313#95—591no—
1314#95—591no—
1315#95—591no—
1316#95—591no—
1317#95—591no—
1318#95—591no—
1319#95—591no—
1320#95—591no—
1321#95—591no—
1322#95—591no—
1323#95—591no—
1324#95—591no—
1325#95—591no—
1326#95—591no—
1327#95C22×D5911yescharacteristic
1328#95C22×D5911yescharacteristic
1329#95C22×D5911yescharacteristic
1330#95C22×D5911yescharacteristic
1331#95C22×D5911yescharacteristic
1332#95C22×D5911yescharacteristic
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—41no—
1338C24—41no—
1339C24—591no—
1340C24—591no—
1341C24—591no—
1342C24—591no—
1343C24—1182no—
1344C24—1182no—
1345C24—1182no—
1346C24—1182no—
1347C24—1182no—
1348C24—1182no—
1349C24—1182no—
1350C24—1182no—
1351C24—2361no—
1352C24—2361no—
1353C24—2361no—
1354C24—2361no—
1355C24—2361no—
1356C24—2361no—
1357C24#1174568514yes—
1358C24C23×D5911yescharacteristic
1359C24C23×D5911yescharacteristic
1360C24C23×D5911yescharacteristic
1361C24C23×D5911yescharacteristic
1362C2×Q8—1182no—
1363C2×Q8—2361no—
1364C2×Q8—2361no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—594no—
1375C2×D4—594no—
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—1182no—
1386C2×D4—11832no—
1387C2×D4—1182no—
1388C2×D4—1182no—
1389C2×D4—1182no—
1390C2×D4—1182no—
1391C2×D4—1182no—
1392C2×D4—1182no—
1393C2×D4—1182no—
1394C2×D4—1182no—
1395C2×D4—1182no—
1396C2×D4—1182no—
1397C2×D4—1182no—
1398C2×D4—1182no—
1399C2×D4—1182no—
1400C2×D4—1182no—
1401C2×D4—1182no—
1402C2×D4—1182no—
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—2361no—
1414C2×D4—2361no—
1415C2×D4—2361no—
1416C2×D4—2361no—
1417C2×D4—2361no—
1418C2×D4—2361no—
1419C2×D4—2361no—
1420C2×D4—2361no—
1421C2×D4—2361no—
1422C2×D4—2361no—
1423C2×D4—23616no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—41no—
1436C22×C4—41no—
1437C22×C4—41no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—41no—
1441C22×C4—41no—
1442C22×C4—41no—
1443C22×C4—41no—
1444C22×C4—416no—
1445C22×C4—591no—
1446C22×C4—591no—
1447C22×C4—591no—
1448C22×C4—591no—
1449C22×C4—594no—
1450C22×C4—591no—
1451C22×C4—591no—
1452C22×C4—591no—
1453C22×C4—591no—
1454C22×C4—591no—
1455C22×C4—591no—
1456C22×C4—591no—
1457C22×C4—591no—
1458C22×C4—1182no—
1459C22×C4—1182no—
1460C22×C4—1182no—
1461C22×C4—1182no—
1462C22×C4—1182no—
1463C22×C4—1182no—
1464C22×C4—1182no—
1465C22×C4—1182no—
1466C22×C4—1182no—
1467C22×C4—1182no—
1468C22×C4—1182no—
1469C22×C4—1182no—
1470C22×C4—1182no—
1471C22×C4—1182no—
1472C22×C4—1182no—
1473C22×C4—2361no—
1474C22×C4—2361no—
1475C22×C4—2361no—
1476C22×C4—2361no—
1477C22×C4—2361no—
1478C22×C4—2361no—
1479C22×C4—23616no—
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×C4D4×D5914yes—
1489C22×C4C23×D5911yescharacteristic
1490C22×C4C23×D5911yescharacteristic
1491C22×C4C23×D5911yescharacteristic
1492C22×C4C23×D5911yescharacteristic
1493C22×C4C23×D5911yescharacteristic
1494C22×C4C23×D5911yescharacteristic
1495C22×C4C23×D5911yescharacteristic
1496C22×C4C23×D5911yescharacteristic
1497C22×C4C23×D5911yescharacteristic
1498C22×C4C23×D5911yescharacteristic
1499C22×C4C23×D5911yescharacteristic
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—41no—
1503C4⋊C4—594no—
1504C4⋊C4—1182no—
1505C4⋊C4—1182no—
1506C4⋊C4—1182no—
1507C4⋊C4—1182no—
1508C4⋊C4—1182no—
1509C4⋊C4—1182no—
1510C4⋊C4—1182no—
1511C4⋊C4—1182no—
1512C4⋊C4—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—594no—
1533C22⋊C4—594no—
1534C22⋊C4—1182no—
1535C22⋊C4—1182no—
1536C22⋊C4—1182no—
1537C22⋊C4—1182no—
1538C22⋊C4—1182no—
1539C22⋊C4—1182no—
1540C22⋊C4—1182no—
1541C22⋊C4—1182no—
1542C22⋊C4—1182no—
1543C22⋊C4—1182no—
1544C22⋊C4—1182no—
1545C22⋊C4—1182no—
1546C22⋊C4—1182no—
1547C22⋊C4—1182no—
1548C22⋊C4—1182no—
1549C22⋊C4—1182no—
1550C22⋊C4—1182no—
1551C22⋊C4—1182no—
1552C22⋊C4—1182no—
1553C22⋊C4—1182no—
1554C22⋊C4—1182no—
1555C22⋊C4—1182no—
1556C22⋊C4—1182no—
1557C22⋊C4—1182no—
1558C22⋊C4—2361no—
1559C22⋊C4—2361no—
1560C22⋊C4—2361no—
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—22no—
1577C42—41no—
1578C42—41no—
1579C42—594no—
1580C42—1182no—
1581C42—1182no—
1582C42—1182no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—28no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—28no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—44no—
1607C23—44no—
1608C23—44no—
1609C23—44no—
1610C23—44no—
1611C23—592no—
1612C23—592no—
1613C23—1188no—
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—1181no—
1627C23—1181no—
1628C23—1181no—
1629C23—1181no—
1630C23—1181no—
1631C23—1181no—
1632C23—1181no—
1633C23—1181no—
1634C23—1181no—
1635C23—1181no—
1636C23—1181no—
1637C23—1181no—
1638C23—1181no—
1639C23—1181no—
1640C23—4722no—
1641C23—4722no—
1642C23—4722no—
1643C23—4722no—
1644C23—2364no—
1645C23—2364no—
1646C23—2364no—
1647C23—2364no—
1648C23—2364no—
1649C23—2364no—
1650C23—2364no—
1651C23—2364no—
1652C23—2364no—
1653C23C2×D4×D5912yes—
1654C23#41×D5912yes—
1655C23C2×#1174568512yes—
1656C23C2×#1174568512yes—
1657C23C2×#1174568512yes—
1658C23#1427377212yes—
1659C23#1427377312yes—
1660C23C24×D5911yescharacteristic
1661Q8—4722no—
1662D4—44no—
1663D4—44no—
1664D4—44no—
1665D4—1188no—
1666D4—1188no—
1667D4—1188no—
1668D4—1188no—
1669D4—4722no—
1670D4—4722no—
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—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—82no—
1718C2×C4—592no—
1719C2×C4—592no—
1720C2×C4—592no—
1721C2×C4—592no—
1722C2×C4—1188no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—1181no—
1726C2×C4—1181no—
1727C2×C4—1181no—
1728C2×C4—1181no—
1729C2×C4—1181no—
1730C2×C4—1181no—
1731C2×C4—1181no—
1732C2×C4—1181no—
1733C2×C4—1181no—
1734C2×C4—1181no—
1735C2×C4—1181no—
1736C2×C4—1181no—
1737C2×C4—1181no—
1738C2×C4—1181no—
1739C2×C4—1181no—
1740C2×C4—1181no—
1741C2×C4—1181no—
1742C2×C4—1181no—
1743C2×C4—1181no—
1744C2×C4—1181no—
1745C2×C4—1181no—
1746C2×C4—1181no—
1747C2×C4—1181no—
1748C2×C4—1181no—
1749C2×C4—1181no—
1750C2×C4—1181no—
1751C2×C4—1181no—
1752C2×C4—1181no—
1753C2×C4—1181no—
1754C2×C4—1181no—
1755C2×C4—4722no—
1756C2×C4—4722no—
1757C2×C4—2364no—
1758C2×C4—2364no—
1759C2×C4—2364no—
1760C2×C4—2364no—
1761C2×C4—2364no—
1762C2×C4—2364no—
1763C2×C4—2364no—
1764C2×C4C2×D4×D5912yes—
1765C2×C4C2×D4×D5912yes—
1766C2×C4#1427377212yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—416no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—1182no—
1795C22—1182no—
1796C22—1182no—
1797C22—1182no—
1798C22—1182no—
1799C22—1182no—
1800C22—4728no—
1801C22—23616no—
1802C22—2361no—
1803C22—2361no—
1804C22—2361no—
1805C22—2361no—
1806C22—2361no—
1807C22—2361no—
1808C22—2361no—
1809C22—2361no—
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#1683791114yes—
1825C22#1683798514yescomplemented
1826C22C22×D4×D5911yescharacteristic
1827C22C2×#41×D5911yescharacteristic
1828C22C22×#1174568511yescharacteristic
1829C22C2×#1427377211yescharacteristic
1830C22C2×#1427377211yescharacteristic
1831C22C2×#1427377311yescharacteristic
1832C22#1683823811yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—1182no—
1845C4—1182no—
1846C4—1182no—
1847C4—1182no—
1848C4—2361no—
1849C4—2361no—
1850C4—2361no—
1851C4—2361no—
1852C4—2361no—
1853C4—2361no—
1854C4—2361no—
1855C4—2361no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—81no—
1860C2—4721no—
1861C2—4721no—
1862C2—2362no—
1863C2—2362no—
1864C2C2×#1683791111yescharacteristic
1865C2C2×#1683798511yescharacteristic
1866C2#2143750511yescharacteristic
1867C2#2143772511yescharacteristic
1868C2#2143775711yescharacteristic
1869C2#2143802211yescharacteristic
1870C2#2143811611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC4×#120×C59C2
hypercenterC4×#120D59
hypocenterC59#34990
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
1. C2×#16837985C2semidirect
2. C22×C4×C22⋊D59C2semidirect
3. #21432413C2semidirect
4. #21432393C2semidirect
5. #21432391C2semidirect
6. #21432377C2semidirect
7. #21429999C2semidirect
8. #21429984C2semidirect
9. #21429952C2semidirect
10. #21429941C2semidirect
11. #21428357C2semidirect
12. #21428222C2semidirect
13. #21428147C2semidirect
14. #21428033C2semidirect
15. #21427988C2semidirect
16. #21427982C2semidirect
17. #21427922C2semidirect
18. #21427848C2semidirect
19. #21427825C2semidirect
20. #21427762C2semidirect
21. #21427634C2semidirect
22. #21427626C2semidirect
23. #21427560C2semidirect
24. #21427471C2semidirect
25. #21427471C2semidirect
26. #21427409C2semidirect
27. #21426794C2semidirect
28. #21426756C2semidirect
29. #21426723C2semidirect
30. C2×#16837281C2semidirect
31. C4×#120×C59C2semidirect
34. C23×C4×D59C22semidirect
36. C2×#14273722C22semidirect
37. C2×#14273721C22semidirect
38. C2×#14273715C22semidirect
39. C2×#14273713C22semidirect
40. C2×#14273712C22semidirect
41. C2×#14273712C22semidirect
42. C2×#14273710C22semidirect
43. C2×#14273704C22semidirect
44. C2×#14273704C22semidirect
45. C2×#14273701C22semidirect
46. C2×#14273700C22semidirect
47. C2×#14273700C22semidirect
56. C2×#14273695C22semidirect
57. C2×#14273695C22semidirect
63. C2×C4×C22⋊D59C22semidirect
64. C2×C4×C22⋊D59C22semidirect
65. C2×C4×C22⋊D59C22semidirect
66. C2×C4×C22⋊D59C22semidirect
67. C22×Dic59⋊C4C22semidirect
70. C22×(C2×D59)⋊C4C22semidirect
71. C22×(C2×D59)⋊C4C22semidirect
72. C22×(C2×D59)⋊C4C22semidirect
73. C22×C4×Dic59C22semidirect
74. #16837343C22semidirect
75. #16837343C22semidirect
76. #16837338C22semidirect
77. #16837337C22semidirect
78. #16837333C22semidirect
79. #16837331C22semidirect
80. #16837330C22semidirect
81. #16837329C22semidirect
82. #16837326C22semidirect
83. #16837325C22semidirect
84. #16837325C22semidirect
85. #16837324C22semidirect
86. #16837320C22semidirect
87. #16837320C22semidirect
88. #16837319C22semidirect
89. #16837318C22semidirect
90. #16837317C22semidirect
91. #16837317C22semidirect
92. #16837317C22semidirect
93. #16837317C22semidirect
94. #16837317C22semidirect
95. #16837315C22semidirect
96. #16837314C22semidirect
101. #16837311C22semidirect
102. #16837310C22semidirect
103. #16837310C22semidirect
104. #16837310C22semidirect
105. #16837310C22semidirect
106. #16837306C22semidirect
107. #16837304C22semidirect
108. #16837304C22semidirect
109. #16837302C22semidirect
110. #16837295C22semidirect
111. #16837294C22semidirect
112. #16837294C22semidirect
113. #16837293C22semidirect
114. #16837293C22semidirect
115. #16837293C22semidirect
116. #16837293C22semidirect
117. #16837293C22semidirect
118. #16837292C22semidirect
119. #16837291C22semidirect
120. #16837291C22semidirect
121. #16837290C22semidirect
122. #16837288C22semidirect
123. #16837286C22semidirect
124. #16837286C22semidirect
125. #16837286C22semidirect
126. #16837285C22semidirect
127. #16837283C22semidirect
128. #16837282C22semidirect
129. #16837282C22semidirect
134. #16837281C22semidirect
135. #16837281C22semidirect
136. #16837281C22semidirect
137. #16837281C22semidirect
138. #16837281C22semidirect
139. #16837280C22semidirect
140. #16837280C22semidirect
141. #16837280C22semidirect
142. #16837280C22semidirect
151. #16837278C22semidirect
152. #16837278C22semidirect
153. #16837277C22semidirect
154. #16837277C22semidirect
155. #16837275C22semidirect
156. #16837274C22semidirect
157. #16837274C22semidirect
158. #16837274C22semidirect
159. #16837274C22semidirect
160. #16837273C22semidirect
161. #16837273C22semidirect
162. #16837269C22semidirect
163. #16837266C22semidirect
164. #16837264C22semidirect
165. #16837264C22semidirect
166. #16837261C22semidirect
167. #16837261C22semidirect
168. #16837260C22semidirect
169. #16837260C22semidirect
170. #16837257C22semidirect
171. #16837257C22semidirect
172. C2×C59⋊#95C22semidirect
173. C2×C59⋊#95C22semidirect
176. C2×C4×D4×C59C22semidirect
177. C2×C4×D4×C59C22semidirect
178. C2×C4×D4×C59C22semidirect
179. C59×#386C22semidirect
180. C59×#386C22semidirect
181. C59×#386C22semidirect
182. C59×#385C22semidirect
183. C59×#385C22semidirect
184. C59×#385C22semidirect
186. C4×C22⋊C4×C59C22semidirect
187. C4×C22⋊C4×C59C22semidirect
188. C4×C22⋊C4×C59C22semidirect
256. C4×C22⋊D59D4semidirect
560. C2×C4×D59C2×D4semidirect
625. (C2×D59)⋊C4C2×D4semidirect
642. Dic59⋊C4C2×D4semidirect
646. C4×Dic59C2×D4semidirect
860. C22×C59#538semidirect
950. C4×#120D59semidirect
1004. C2×C4×D4C2×D59semidirect
1005. C2×C4×D4C2×D59semidirect
1006. C2×C4×D4C2×D59semidirect
1093. #386C2×D59semidirect
1094. #386C2×D59semidirect
1095. #386C2×D59semidirect
1105. #385C2×D59semidirect
1106. #385C2×D59semidirect
1107. #385C2×D59semidirect
1119. C4×C22⋊C4C2×D59semidirect
1120. C4×C22⋊C4C2×D59semidirect
1121. C4×C22⋊C4C2×D59semidirect
1124. C59#34990semidirect
1825. C22#16837985semidirect

Maximal subgroups

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

subgroupindex
C2×#168379852
C22×C4×C22⋊D592
#214324132
#214323932
#214323912
#214323772
#214299992
#214299842
#214299522
#214299412
#214283572
#214282222
#214281472
#214280332
#214279882
#214279822
#214279222
#214278482
#214278252
#214277622
#214276342
#214276262
#214275602
#214274712
#214274092
#214267942
#214267562
#214267232
C2×#168372812
C4×#120×C592
#3499059