Finite Group Databasebeta

← #28795508

Subgroups — #28795508

Order 15104.

2630 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837984C211yesmaximal, characteristic, complemented
2C2×#123×D59C211yesmaximal, characteristic, complemented
3#21432382C211yesmaximal, characteristic, complemented
4#21432375C211yesmaximal, characteristic, complemented
5#21430637C211yesmaximal, characteristic, complemented
6#21430635C211yesmaximal, characteristic, complemented
7#21430629C211yesmaximal, characteristic, complemented
8#21430627C211yesmaximal, characteristic, complemented
9#21430607C211yesmaximal, characteristic, complemented
10#21430605C211yesmaximal, characteristic, complemented
11#21430604C211yesmaximal, characteristic, complemented
12#21430602C211yesmaximal, characteristic, complemented
13#21430353C211yesmaximal, characteristic, complemented
14#21430352C211yesmaximal, characteristic, complemented
15#21430341C211yesmaximal, characteristic, complemented
16#21430340C211yesmaximal, characteristic, complemented
17#21430331C211yesmaximal, characteristic, complemented
18#21430328C211yesmaximal, characteristic, complemented
19#21430327C211yesmaximal, characteristic, complemented
20#21429914C211yesmaximal, characteristic, complemented
21#21429837C211yesmaximal, characteristic, complemented
22#21428984C211yesmaximal, characteristic, complemented
23#21428981C211yesmaximal, characteristic, complemented
24#21428409C211yesmaximal, characteristic, complemented
25#21428406C211yesmaximal, characteristic, complemented
26#21427491C211yesmaximal, characteristic, complemented
27#21427487C211yesmaximal, characteristic, complemented
28#21427467C211yesmaximal, characteristic, complemented
29#21427463C211yesmaximal, characteristic, complemented
30#21426707C211yesmaximal, characteristic, complemented
31C59×#2671C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34#16837984—28no—
35C2×#14273722C2211yescharacteristic, complemented
36C2×#14273720C2211yescharacteristic, complemented
37C2×#14273714C2211yescharacteristic, complemented
38C2×#14273713C2211yescharacteristic, complemented
39C2×#14273712C2211yescharacteristic
40C2×#14273712C2211yescharacteristic
41C2×#14273711C2211yescharacteristic
42C2×#14273710C2211yescharacteristic
43C2×#14273710C2211yescharacteristic, complemented
44C2×#14273709C2211yescharacteristic
45C2×#14273709C2211yescharacteristic
46C2×#14273709C2211yescharacteristic
47C2×#14273709C2211yescharacteristic
48C2×#14273708C2211yescharacteristic
49C2×#14273708C2211yescharacteristic, complemented
50#123×D59—28no—
51C2×#14273705C2211yescharacteristic
52C2×#14273705C2211yescharacteristic, complemented
53C2×#14273704C2211yescharacteristic, complemented
54C2×#14273700C2211yescharacteristic
55C2×#14273699C2211yescharacteristic
56C2×#14273699C2211yescharacteristic, complemented
57C2×#14273698C2211yescharacteristic
58C2×#14273698C2211yescharacteristic
59C2×#14273698C2211yescharacteristic, complemented
60C2×#14273695C2211yescharacteristic
61C2×#14273695C2211yescharacteristic
62C2×#14273695C2211yescharacteristic
63C2×#14273695C2211yescharacteristic
64C2×C4×C22⋊D59C2211yescharacteristic
65C2×(C22⋊D59)⋊C4C2211yescharacteristic
66C2×C4⋊C4×D59C2211yescharacteristic
67C2×C4⋊C4×D59C2211yescharacteristic
68C22×(C2×D59)⋊C4C2211yescharacteristic
69C2×C22⋊C4×D59C2211yescharacteristic
70C2×C22⋊C4×D59C2211yescharacteristic
71C2×C22⋊C4×D59C2211yescharacteristic
72C2×C22⋊C4×D59C2211yescharacteristic
73#16837344C2211yescharacteristic, complemented
74#16837343C2211yescharacteristic, complemented
75#16837343C2211yescharacteristic, complemented
76#16837343C2211yescharacteristic, complemented
77#16837342C2211yescharacteristic, complemented
78#16837340C2211yescharacteristic, complemented
79#16837338C2211yescharacteristic, complemented
80#16837338C2211yescharacteristic, complemented
81#16837338C2211yescharacteristic, complemented
82#16837335C2211yescharacteristic, complemented
83#16837335C2211yescharacteristic, complemented
84#16837334C2211yescharacteristic, complemented
85#16837332C2211yescharacteristic, complemented
86#16837332C2211yescharacteristic, complemented
87#16837331C2211yescharacteristic, complemented
88#16837330C2211yescharacteristic, complemented
89#16837329C2211yescharacteristic, complemented
90#16837327C2211yescharacteristic, complemented
91#16837326C2211yescharacteristic, complemented
92#16837325C2211yescharacteristic, complemented
93#16837325C2211yescharacteristic, complemented
94#16837325C2211yescharacteristic, complemented
95#16837325C2211yescharacteristic, complemented
96#16837325C2211yescharacteristic, complemented
97#16837325C2211yescharacteristic, complemented
98#16837324C2211yescharacteristic, complemented
99#16837323C2211yescharacteristic, complemented
100#16837322C2211yescharacteristic, complemented
101#16837319C2211yescharacteristic
102#16837318C2211yescharacteristic
103#16837318C2211yescharacteristic, complemented
104#16837318C2211yescharacteristic, complemented
105#16837317C2211yescharacteristic
106#16837317C2211yescharacteristic, complemented
107#16837317C2211yescharacteristic, complemented
108#16837316C2211yescharacteristic
109#16837316C2211yescharacteristic, complemented
110#16837316C2211yescharacteristic, complemented
111#16837316C2211yescharacteristic, complemented
112#16837311C2211yescharacteristic
113#16837310C2211yescharacteristic
114#16837310C2211yescharacteristic
115#16837301C2211yescharacteristic, complemented
116#16837298C2211yescharacteristic, complemented
117#16837297C2211yescharacteristic, complemented
118#16837297C2211yescharacteristic, complemented
119#16837295C2211yescharacteristic, complemented
120#16837294C2211yescharacteristic, complemented
121#16837291C2211yescharacteristic, complemented
122#16837290C2211yescharacteristic, complemented
123#16837282C2211yescharacteristic
124#16837282C2211yescharacteristic, complemented
125#16837282C2211yescharacteristic, complemented
126#16837282C2211yescharacteristic, complemented
127#16837282C2211yescharacteristic, complemented
128#16837281C2211yescharacteristic
129#16837281C2211yescharacteristic, complemented
130#16837280C2211yescharacteristic
131#16837279C2211yescharacteristic, complemented
132#16837278C2211yescharacteristic
133#16837278C2211yescharacteristic
134#16837278C2211yescharacteristic
135#16837278C2211yescharacteristic
136#16837278C2211yescharacteristic
137#16837278C2211yescharacteristic, complemented
138#16837278C2211yescharacteristic, complemented
139#16837278C2211yescharacteristic, complemented
140#16837278C2211yescharacteristic, complemented
141#16837277C2211yescharacteristic, complemented
142#16837276C2211yescharacteristic
143#16837276C2211yescharacteristic
144#16837276C2211yescharacteristic, complemented
145#16837276C2211yescharacteristic, complemented
146#16837276C2211yescharacteristic, complemented
147#16837275C2211yescharacteristic, complemented
148#16837275C2211yescharacteristic, complemented
149#16837274C2211yescharacteristic, complemented
150#16837273C2211yescharacteristic
151#16837273C2211yescharacteristic
152#16837273C2211yescharacteristic, complemented
153#16837273C2211yescharacteristic, complemented
154#16837273C2211yescharacteristic, complemented
155#16837264C2211yescharacteristic
156#16837264C2211yescharacteristic
157#16837262C2211yescharacteristic, complemented
158#16837262C2211yescharacteristic, complemented
159#16837262C2211yescharacteristic, complemented
160#16837261C2211yescharacteristic
161#16837261C2211yescharacteristic
162#16837261C2211yescharacteristic, complemented
163#16837261C2211yescharacteristic, complemented
164#16837260C2211yescharacteristic, complemented
165#16837260C2211yescharacteristic, complemented
166#16837260C2211yescharacteristic, complemented
167#16837260C2211yescharacteristic, complemented
168#16837259C2211yescharacteristic
169#16837259C2211yescharacteristic
170#16837259C2211yescharacteristic, complemented
171#16837259C2211yescharacteristic, complemented
172#16837257C2211yescharacteristic
173#16837257C2211yescharacteristic
174C2×#123×C59C2211yescharacteristic
175C2×#121×C59C2211yescharacteristic
176C2×#121×C59C2211yescharacteristic, complemented
177C2×#121×C59C2211yescharacteristic, complemented
178C59×#399C2211yescharacteristic, complemented
179C59×#398C2211yescharacteristic, complemented
180C59×#394C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic, complemented
182C59×#394C2211yescharacteristic, complemented
183C59×#392C2211yescharacteristic
184C59×#386C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic, complemented
187C59×#385C2211yescharacteristic, complemented
188C59×#380C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C2×D4×D59—24no—
202C2×D4×D59—42no—
203C2×D4×D59—42no—
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C22×C4×D59—24no—
208C22×C4×D59—42no—
209C22×C4×D59—42no—
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219#14273722—24no—
220#14273720—24no—
221#14273714—24no—
222#14273713—24no—
223#14273712—24no—
224#14273712—24no—
225#14273711—24no—
226#14273710—24no—
227#14273710—24no—
228#14273709—24no—
229#14273709—24no—
230#14273709—42no—
231#14273709—42no—
232#14273708—24no—
233#14273708—24no—
234#14273705—24no—
235#14273705—42no—
236#14273704—42no—
237#14273700—42no—
238#14273699—24no—
239#14273699—42no—
240#14273698—24no—
241#14273698—42no—
242#14273698—42no—
243#14273695—24no—
244#14273695—24no—
245#14273695—42no—
246#14273695—42no—
247C4×C22⋊D59—24no—
248(C22⋊D59)⋊C4—24no—
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
252C2×C4⋊Dic59C2311yescharacteristic
253C2×C4⋊Dic59C2311yescharacteristic
254C2×C4⋊Dic59C2311yescharacteristic
255C2×C4⋊Dic59C2311yescharacteristic
256C2×C4⋊Dic59C2311yescharacteristic
257C2×C4⋊Dic59C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2311yescharacteristic
276C4⋊C4×D59—24no—
277C4⋊C4×D59—24no—
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×C22⋊Dic59C2311yescharacteristic
292C2×C22⋊Dic59C2311yescharacteristic
293C2×C22⋊Dic59C2311yescharacteristic
294C2×C22⋊Dic59C2311yescharacteristic
295C2×C22⋊Dic59C2311yescharacteristic
296C2×C22⋊Dic59C2311yescharacteristic
297C2×(C2×D59)⋊C4—42no—
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
320C22⋊C4×D59—24no—
321C22⋊C4×D59—24no—
322C22⋊C4×D59—42no—
323C22⋊C4×D59D418yescomplemented
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C22×D4×C59C2311yescharacteristic
353C22×D4×C59C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C22×D4×C59C2311yescharacteristic
357C22×D4×C59C2311yescharacteristic
358C23×C4×C59C2311yescharacteristic
359C23×C4×C59C2311yescharacteristic
360C23×C4×C59C2311yescharacteristic
361#123×C59—24no—
362#121×C59—24no—
363#121×C59—42no—
364#121×C59—42no—
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C4⋊C4×C59C2311yescharacteristic
368C2×C4⋊C4×C59C2311yescharacteristic
369C2×C4⋊C4×C59C2311yescharacteristic
370C2×C4⋊C4×C59C2311yescharacteristic
371C2×C4⋊C4×C59C2311yescharacteristic
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
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C24×C59C2411yescharacteristic
394C24×C59C2411yescharacteristic
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—22no—
398C23×D59—22no—
399C23×D59—22no—
400C23×D59—22no—
401C23×D59—22no—
402C23×D59—41no—
403C23×D59—41no—
404C23×D59—41no—
405C23×D59—41no—
406C23×D59—41no—
407C23×D59—41no—
408C23×D59C2×D414yes—
409C23×D59C2411yescharacteristic
410C23×D59C2411yescharacteristic
411C23×D59C2411yescharacteristic
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C2×D4×C59—22no—
416C2×D4×C59—22no—
417C2×D4×C59—22no—
418C2×D4×C59—22no—
419C2×D4×C59—41no—
420C2×D4×C59—41no—
421C2×D4×C59—41no—
422C2×D4×C59—41no—
423C2×D4×C59—41no—
424C2×D4×C59—41no—
425C2×D4×C59—41no—
426C2×D4×C59—41no—
427C2×D4×C59—41no—
428C2×D4×C59—41no—
429C2×D4×C59—41no—
430C22×C4×C59—22no—
431C22×C4×C59—22no—
432C22×C4×C59—22no—
433C22×C4×C59—41no—
434C22×C4×C59—41no—
435C22×C4×C59—41no—
436C22×C4×C59—41no—
437C22×C4×C59—41no—
438C22×C4×C59—41no—
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
448C22×C4×C59C2411yescharacteristic
449C22×C4×C59C2411yescharacteristic
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—41no—
465C2×C22⋊D59—41no—
466C2×C22⋊D59—41no—
467C2×C22⋊D59—41no—
468C2×C22⋊D59—41no—
469C2×C22⋊D59—41no—
470C2×C22⋊D59—41no—
471C2×C22⋊D59—41no—
472C2×C22⋊D59—41no—
473C2×C22⋊D59—41no—
474C22×Dic59—22no—
475C22×Dic59—22no—
476C22×Dic59—22no—
477C22×Dic59—41no—
478C22×Dic59—41no—
479C22×Dic59—41no—
480C22×Dic59—41no—
481C22×Dic59—41no—
482C22×Dic59—41no—
483C22×Dic59C2411yescharacteristic
484C22×Dic59C2411yescharacteristic
485C22×Dic59C2411yescharacteristic
486C22×Dic59C2411yescharacteristic
487C22×Dic59C2411yescharacteristic
488C22×Dic59C2411yescharacteristic
489C22×Dic59C2411yescharacteristic
490C22×Dic59C2411yescharacteristic
491C22×Dic59C2411yescharacteristic
492C22×Dic59C2411yescharacteristic
493C22×Dic59C2411yescharacteristic
494C22×Dic59C2411yescharacteristic
495C22×Dic59C2411yescharacteristic
496D4×D59—416no—
497C2×D236—22no—
498C2×D236—22no—
499C2×D236—41no—
500C2×C4×D59—22no—
501C2×C4×D59—22no—
502C2×C4×D59—22no—
503C2×C4×D59—22no—
504C2×C4×D59—22no—
505C2×C4×D59—22no—
506C2×C4×D59—22no—
507C2×C4×D59—22no—
508C2×C4×D59—22no—
509C2×C4×D59—41no—
510C2×C4×D59—41no—
511C2×C4×D59—41no—
512C2×C4×D59—41no—
513C2×C4×D59—41no—
514C2×C4×D59—41no—
515C2×C4×D59—41no—
516C2×C4×D59—41no—
517C2×C4×D59—41no—
518C2×C4×D59—41no—
519C2×C4×D59—416no—
520C2×C4×D59—41no—
521C2×C4×D59—41no—
522C2×C4×D59—41no—
523C2×C4×D59—41no—
524C2×C4×D59—41no—
525C2×C4×D59—41no—
526C2×C4×D59C2×D414yes—
527C2×C4×D59C2×D414yes—
528C2×Dic118—22no—
529C2×Dic118—41no—
530C2×Dic118—41no—
531C4⋊C4×C59—22no—
532C4⋊C4×C59—22no—
533C4⋊C4×C59—22no—
534C4⋊C4×C59—41no—
535C4⋊C4×C59—41no—
536C4⋊C4×C59—41no—
537C4⋊C4×C59—41no—
538C22⋊C4×C59—22no—
539C22⋊C4×C59—22no—
540C22⋊C4×C59—22no—
541C22⋊C4×C59—22no—
542C22⋊C4×C59—41no—
543C22⋊C4×C59—41no—
544C22⋊C4×C59—41no—
545C22⋊C4×C59—41no—
546C22⋊C4×C59—41no—
547C22⋊C4×C59—41no—
548C22⋊C4×C59—41no—
549C22⋊C4×C59—41no—
550C22⋊C4×C59C2×D414yes—
551C22⋊Dic59—22no—
552C22⋊Dic59—22no—
553C22⋊Dic59—22no—
554C22⋊Dic59—22no—
555C22⋊Dic59—22no—
556C22⋊Dic59—22no—
557C22⋊Dic59—22no—
558C22⋊Dic59—22no—
559C22⋊Dic59—41no—
560C22⋊Dic59—41no—
561C22⋊Dic59—41no—
562C22⋊Dic59—41no—
563C22⋊Dic59—41no—
564C22⋊Dic59—41no—
565C22⋊Dic59—41no—
566C22⋊Dic59—41no—
567C22⋊Dic59—41no—
568C22⋊Dic59—41no—
569C22⋊Dic59C2×D414yes—
570(C2×D59)⋊C4—22no—
571(C2×D59)⋊C4—22no—
572(C2×D59)⋊C4—22no—
573(C2×D59)⋊C4—22no—
574(C2×D59)⋊C4—22no—
575(C2×D59)⋊C4—22no—
576(C2×D59)⋊C4—22no—
577(C2×D59)⋊C4—22no—
578(C2×D59)⋊C4—22no—
579(C2×D59)⋊C4—22no—
580(C2×D59)⋊C4—22no—
581(C2×D59)⋊C4—22no—
582(C2×D59)⋊C4—22no—
583(C2×D59)⋊C4—22no—
584(C2×D59)⋊C4—41no—
585(C2×D59)⋊C4—41no—
586(C2×D59)⋊C4—41no—
587(C2×D59)⋊C4—41no—
588(C2×D59)⋊C4—41no—
589(C2×D59)⋊C4—41no—
590(C2×D59)⋊C4C2×D414yes—
591(C2×D59)⋊C4C2×D414yes—
592C4⋊Dic59—22no—
593C4⋊Dic59—22no—
594C4⋊Dic59—22no—
595C4⋊Dic59—41no—
596C4⋊Dic59—41no—
597C4⋊Dic59—41no—
598C4⋊Dic59—41no—
599C4⋊Dic59—41no—
600C4⋊Dic59—41no—
601Dic59⋊C4—22no—
602Dic59⋊C4—22no—
603Dic59⋊C4—22no—
604Dic59⋊C4—22no—
605Dic59⋊C4—22no—
606Dic59⋊C4—22no—
607Dic59⋊C4—22no—
608Dic59⋊C4—22no—
609Dic59⋊C4—41no—
610Dic59⋊C4—41no—
611Dic59⋊C4—41no—
612Dic59⋊C4—41no—
613Dic59⋊C4—41no—
614Dic59⋊C4—41no—
615Dic59⋊C4—41no—
616Dic59⋊C4—41no—
617Dic59⋊C4—41no—
618Dic59⋊C4—41no—
619C4×Dic59—22no—
620C4×Dic59—22no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59—21no—
630C23×C59—21no—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—21no—
638C23×C59—21no—
639C23×C59—21no—
640C23×C59—21no—
641C23×C59—21no—
642C23×C59—21no—
643C23×C59—21no—
644C23×C59—21no—
645C23×C59—21no—
646C23×C59—21no—
647C23×C59C22×D412yes—
648C23×C59H(5,𝔽2)12yes—
649C23×C59C2511yescharacteristic
650C22×D59—21no—
651C22×D59—21no—
652C22×D59—21no—
653C22×D59—21no—
654C22×D59—28no—
655C22×D59—21no—
656C22×D59—21no—
657C22×D59—21no—
658C22×D59—21no—
659C22×D59—21no—
660C22×D59—21no—
661C22×D59—21no—
662C22×D59—21no—
663C22×D59—21no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—21no—
667C22×D59—28no—
668C22×D59—44no—
669C22×D59—44no—
670C22×D59—44no—
671C22×D59—44no—
672C22×D59—44no—
673C22×D59—44no—
674C22×D59—44no—
675C22×D59—44no—
676C22×D59—82no—
677C22×D59—82no—
678C22×D59—82no—
679C22×D59—82no—
680C22×D59C22×D412yes—
681C22×D59C22×D412yes—
682C22×D59H(5,𝔽2)12yes—
683C22×D59H(5,𝔽2)12yes—
684C22×D592−1+412yes—
685D4×C59—44no—
686D4×C59—82no—
687D4×C59—82no—
688D4×C59—82no—
689D4×C59—82no—
690D4×C59—82no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—44no—
723C2×C4×C59—82no—
724C2×C4×C59—82no—
725C2×C4×C59C22×D412yes—
726C2×C4×C59C22×D412yes—
727C22⋊D59—44no—
728C22⋊D59—44no—
729C22⋊D59—44no—
730C22⋊D59—44no—
731C22⋊D59—82no—
732C22⋊D59—82no—
733C22⋊D59—82no—
734C22⋊D59—82no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—44no—
773C2×Dic59—82no—
774C2×Dic59—82no—
775C2×Dic59C22×D412yes—
776C2×Dic59C22×D412yes—
777D236—44no—
778C4×D59—44no—
779C4×D59—44no—
780C4×D59—44no—
781C4×D59—44no—
782C4×D59—44no—
783C4×D59—44no—
784C4×D59—44no—
785C4×D59—82no—
786C4×D59—82no—
787Dic118—82no—
788#36709—591nomaximal, Sylow
789C22×C59—22no—
790C22×C59—22no—
791C22×C59—22no—
792C22×C59—22no—
793C22×C59—22no—
794C22×C59—22no—
795C22×C59—41no—
796C22×C59—41no—
797C22×C59—41no—
798C22×C59—41no—
799C22×C59—41no—
800C22×C59—41no—
801C22×C59—41no—
802C22×C59—41no—
803C22×C59—41no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59C23×D411yescharacteristic
818C22×C59C2×H(5,𝔽2)11yescharacteristic
819C22×C59C2×H(5,𝔽2)11yescharacteristic
820C22×C59C2×H(5,𝔽2)11yescharacteristic
821C22×C59C2×2−1+411yescharacteristic
822C22×C59#58511yescharacteristic
823C22×C59#58511yescharacteristic
824C2×D59—22no—
825C2×D59—22no—
826C2×D59—22no—
827C2×D59—22no—
828C2×D59—22no—
829C2×D59—22no—
830C2×D59—22no—
831C2×D59—22no—
832C2×D59—22no—
833C2×D59—22no—
834C2×D59—22no—
835C2×D59—22no—
836C2×D59—416no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—88no—
846C2×D59#53714yes—
847C4×C59—22no—
848C4×C59—22no—
849C4×C59—41no—
850C4×C59—41no—
851C4×C59—41no—
852C4×C59—41no—
853C4×C59—41no—
854C4×C59—41no—
855C4×C59—41no—
856C4×C59—41no—
857C4×C59—41no—
858Dic59—22no—
859Dic59—22no—
860Dic59—41no—
861Dic59—41no—
862Dic59—41no—
863Dic59—41no—
864Dic59—41no—
865Dic59—41no—
866Dic59—41no—
867Dic59—41no—
868Dic59—41no—
869Dic59—41no—
870Dic59—41no—
871C2×#538—591no—
872C22×#123—591no—
873#2848—591no—
874#2847—591no—
875#2695—591no—
876#2695—591no—
877#2695—591no—
878#2695—591no—
879#2693—591no—
880#2693—591no—
881#2693—591no—
882#2693—591no—
883#2672—591no—
884#2672—591no—
885#2672—591no—
886#2672—591no—
887#2671—591no—
888#2671—591no—
889#2671—591no—
890#2671D5911yescharacteristic, complemented
891#2627—591no—
892#2618—591no—
893#2534—591no—
894#2534—591no—
895#2487—591no—
896#2487—591no—
897#2412—591no—
898#2412—591no—
899#2410—591no—
900#2410—591no—
901#2315—591no—
902C2×C59—42no—
903C2×C59—42no—
904C2×C59—81no—
905C2×C59—81no—
906C2×C59C2×#53711yescharacteristic
907C2×C59#348411yescharacteristic
908C2×C59#348511yescharacteristic
909C2×C59#353411yescharacteristic
910C2×C59#353411yescharacteristic
911C2×C59#353511yescharacteristic
912C2×C59#353511yescharacteristic
913D59—24no—
914D59—42no—
915D59—42no—
916C23×D4—591no—
917C24×C4—591no—
918#538—1188no—
919C2×#126—591no—
920C2×#126—591no—
921C2×#124—591no—
922C2×#124—591no—
923C2×#123—591no—
924C2×#123—591no—
925C2×#123—591no—
926C2×#123—591no—
927C2×#123—591no—
928C2×#123—591no—
929C2×#123—591no—
930C2×#123—591no—
931C2×#123—591no—
932C2×#123—591no—
933C2×#123—591no—
934C2×#123—1188no—
935C2×#123C2×D5911yescharacteristic
936C2×C22⋊Q8—591no—
937C2×C22⋊Q8—591no—
938C2×C22⋊Q8—591no—
939C2×#121—591no—
940C2×#121—591no—
941C2×#121—591no—
942C2×#121—591no—
943C2×#121—591no—
944C2×#121—591no—
945C2×#121C2×D5911yescharacteristic
946C2×#121C2×D5911yescharacteristic, complemented
947C2×#121C2×D5911yescharacteristic, complemented
948C2×#120—591no—
949C2×#120—591no—
950C2×#120—591no—
951C2×#120—591no—
952C2×C4×D4—591no—
953C2×C4×D4—591no—
954C22×C4⋊C4—591no—
955C22×C4⋊C4—591no—
956C22×C22⋊C4—591no—
957C22×C22⋊C4—591no—
958C22×C22⋊C4—591no—
959C22×C22⋊C4—591no—
960C22×C22⋊C4—591no—
961#400—591no—
962#400—591no—
963#400—591no—
964#400—591no—
965#400—591no—
966#400—591no—
967#399—591no—
968#399—591no—
969#399—591no—
970#399C2×D5911yescharacteristic, complemented
971#398—591no—
972#398—591no—
973#398—591no—
974#398—591no—
975#398—591no—
976#398C2×D5911yescharacteristic, complemented
977#397—591no—
978#397—591no—
979#397—591no—
980#397—591no—
981#396—591no—
982#396—591no—
983#396—591no—
984#396—591no—
985#396—591no—
986#396—591no—
987#396—591no—
988#396—591no—
989#395—591no—
990#395—591no—
991#394—591no—
992#394—591no—
993#394—591no—
994#394—591no—
995#394—591no—
996#394—591no—
997#394—591no—
998#394—591no—
999#394—591no—
1000#394—591no—
1001#394—591no—
1002#394C2×D5911yescharacteristic, complemented
1003#394C2×D5911yescharacteristic, complemented
1004#394C2×D5911yescharacteristic, complemented
1005#392—591no—
1006#392—591no—
1007#392—591no—
1008#392C2×D5911yescharacteristic
1009#389—591no—
1010#389—591no—
1011#389—591no—
1012#389—591no—
1013#388—591no—
1014#388—591no—
1015#388—591no—
1016#388—591no—
1017#386—591no—
1018#386—591no—
1019#386—591no—
1020#386—591no—
1021#386—591no—
1022#386—591no—
1023#386—591no—
1024#386—591no—
1025#386—591no—
1026#386—591no—
1027#386—591no—
1028#386—591no—
1029#386—591no—
1030#386—591no—
1031#386—591no—
1032#386—591no—
1033#386—591no—
1034#386—591no—
1035#386C2×D5911yescharacteristic, complemented
1036#386C2×D5911yescharacteristic, complemented
1037#385—591no—
1038#385—591no—
1039#385—591no—
1040#385—591no—
1041#385—591no—
1042#385—591no—
1043#385—591no—
1044#385—591no—
1045#385—591no—
1046#385—591no—
1047#385—591no—
1048#385—591no—
1049#385—591no—
1050#385—591no—
1051#385C2×D5911yescharacteristic, complemented
1052#385C2×D5911yescharacteristic, complemented
1053#381—591no—
1054#381—591no—
1055#380—591no—
1056#380—591no—
1057#380—591no—
1058#380—591no—
1059#380—591no—
1060#380—591no—
1061#380—591no—
1062#380—591no—
1063#380—591no—
1064#380—591no—
1065#380—591no—
1066#380—591no—
1067#380—591no—
1068#380—591no—
1069#380—591no—
1070#380C2×D5911yescharacteristic, complemented
1071#379—591no—
1072#379—591no—
1073C59#3670911yescharacteristic, complemented, Sylow
1074C25—591no—
1075C25—591no—
1076C22×Q8—591no—
1077C22×D4—591no—
1078C22×D4—591no—
1079C22×D4—591no—
1080C22×D4—591no—
1081C22×D4—591no—
1082C22×D4—591no—
1083C22×D4—591no—
1084C22×D4—591no—
1085C22×D4—591no—
1086C22×D4—1184no—
1087C22×D4—2362no—
1088C22×D4—2362no—
1089C22×D4C22×D5911yescharacteristic
1090C22×D4C22×D5911yescharacteristic
1091C22×D4C22×D5911yescharacteristic
1092C22×D4C22×D5911yescharacteristic
1093C22×D4C22×D5911yescharacteristic
1094C22×D4C22×D5911yescharacteristic
1095C23×C4—591no—
1096C23×C4—591no—
1097C23×C4—591no—
1098C23×C4—591no—
1099C23×C4—591no—
1100C23×C4—591no—
1101C23×C4—591no—
1102C23×C4—591no—
1103C23×C4—591no—
1104C23×C4—591no—
1105C23×C4—591no—
1106C23×C4—591no—
1107C23×C4—1184no—
1108C23×C4—2362no—
1109C23×C4—2362no—
1110C23×C4C22×D5911yescharacteristic
1111C23×C4C22×D5911yescharacteristic
1112C23×C4C22×D5911yescharacteristic
1113#126—1184no—
1114#126—1184no—
1115#124—1184no—
1116#124—1184no—
1117#123—24no—
1118#123—1184no—
1119#123—1184no—
1120#123—1184no—
1121#123—1184no—
1122#123—1184no—
1123#123—1184no—
1124#123—1184no—
1125#123—1184no—
1126#123—1184no—
1127#123—2362no—
1128#123—2362no—
1129C22⋊Q8—1184no—
1130C22⋊Q8—2362no—
1131C22⋊Q8—2362no—
1132#121—24no—
1133#121—42no—
1134#121—42no—
1135#121—1184no—
1136#121—1184no—
1137#121—2362no—
1138#121—2362no—
1139#121—2362no—
1140#121—2362no—
1141#120—1184no—
1142#120—1184no—
1143#120—2362no—
1144#120—2362no—
1145C4×D4—1184no—
1146C4×D4—1184no—
1147C2×C4⋊C4—591no—
1148C2×C4⋊C4—591no—
1149C2×C4⋊C4—591no—
1150C2×C4⋊C4—591no—
1151C2×C4⋊C4—591no—
1152C2×C4⋊C4—591no—
1153C2×C4⋊C4—591no—
1154C2×C4⋊C4—591no—
1155C2×C4⋊C4—591no—
1156C2×C4⋊C4—591no—
1157C2×C4⋊C4—591no—
1158C2×C4⋊C4—591no—
1159C2×C4⋊C4—591no—
1160C2×C4⋊C4—591no—
1161C2×C4⋊C4—591no—
1162C2×C4⋊C4—591no—
1163C2×C4⋊C4—591no—
1164C2×C4⋊C4—591no—
1165C2×C4⋊C4—591no—
1166C2×C4⋊C4—591no—
1167C2×C4⋊C4—591no—
1168C2×C4⋊C4—591no—
1169C2×C4⋊C4—591no—
1170C2×C4⋊C4—591no—
1171C2×C4⋊C4—591no—
1172C2×C4⋊C4—591no—
1173C2×C4⋊C4—591no—
1174C2×C4⋊C4—1184no—
1175C2×C4⋊C4—1184no—
1176C2×C4⋊C4C22×D5911yescharacteristic
1177C2×C4⋊C4C22×D5911yescharacteristic
1178C2×C4⋊C4C22×D5911yescharacteristic
1179C2×C4⋊C4C22×D5911yescharacteristic
1180C2×C4⋊C4C22×D5911yescharacteristic
1181C2×C4⋊C4C22×D5911yescharacteristic
1182C2×C4⋊C4C22×D5911yescharacteristic
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—591no—
1186C2×C22⋊C4—598no—
1187C2×C22⋊C4—591no—
1188C2×C22⋊C4—591no—
1189C2×C22⋊C4—591no—
1190C2×C22⋊C4—591no—
1191C2×C22⋊C4—591no—
1192C2×C22⋊C4—591no—
1193C2×C22⋊C4—591no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—591no—
1196C2×C22⋊C4—591no—
1197C2×C22⋊C4—591no—
1198C2×C22⋊C4—591no—
1199C2×C22⋊C4—591no—
1200C2×C22⋊C4—591no—
1201C2×C22⋊C4—591no—
1202C2×C22⋊C4—591no—
1203C2×C22⋊C4—591no—
1204C2×C22⋊C4—591no—
1205C2×C22⋊C4—591no—
1206C2×C22⋊C4—591no—
1207C2×C22⋊C4—591no—
1208C2×C22⋊C4—591no—
1209C2×C22⋊C4—591no—
1210C2×C22⋊C4—591no—
1211C2×C22⋊C4—591no—
1212C2×C22⋊C4—591no—
1213C2×C22⋊C4—591no—
1214C2×C22⋊C4—591no—
1215C2×C22⋊C4—591no—
1216C2×C22⋊C4—591no—
1217C2×C22⋊C4—591no—
1218C2×C22⋊C4—591no—
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—1184no—
1226C2×C22⋊C4—1184no—
1227C2×C22⋊C4—2362no—
1228C2×C22⋊C4—2362no—
1229C2×C22⋊C4C22×D5911yescharacteristic
1230C2×C22⋊C4C22×D5911yescharacteristic
1231C2×C22⋊C4C22×D5911yescharacteristic
1232C2×C22⋊C4C22×D5911yescharacteristic
1233C2×C22⋊C4C22×D5911yescharacteristic
1234C2×C22⋊C4C22×D5911yescharacteristic
1235C2×C22⋊C4C22×D5911yescharacteristic
1236C2×C22⋊C4C22×D5911yescharacteristic
1237C2×C22⋊C4C22×D5911yescharacteristic
1238C2×C22⋊C4C22×D5911yescharacteristic
1239C2×C22⋊C4C22×D5911yescharacteristic
1240C2×C22⋊C4C22×D5911yescharacteristic
1241C2×C22⋊C4C22×D5911yescharacteristic
1242C2×C42—591no—
1243C2×C42—591no—
1244#95—591no—
1245#95—591no—
1246#95—591no—
1247#95—591no—
1248#95—591no—
1249#95—591no—
1250#95—591no—
1251#95—591no—
1252#95—591no—
1253#95—591no—
1254#95—591no—
1255#95—591no—
1256#95—591no—
1257#95—591no—
1258#95—591no—
1259#95—591no—
1260#95—591no—
1261#95—591no—
1262#95—591no—
1263#95—591no—
1264#95—591no—
1265#95—591no—
1266#95—591no—
1267#95—591no—
1268#95—591no—
1269#95—591no—
1270#95C22×D5911yescharacteristic
1271#95C22×D5911yescharacteristic
1272#95C22×D5911yescharacteristic
1273#95C22×D5911yescharacteristic
1274#95C22×D5911yescharacteristic
1275#95C22×D5911yescharacteristic
1276C24—591no—
1277C24—591no—
1278C24—591no—
1279C24—594no—
1280C24—1182no—
1281C24—1182no—
1282C24—1182no—
1283C24—1182no—
1284C24—1182no—
1285C24—1182no—
1286C24—1182no—
1287C24—2361no—
1288C24—2361no—
1289C24—2361no—
1290C24—2361no—
1291C24—2361no—
1292C24—2361no—
1293C24C23×D5911yescharacteristic
1294C24C23×D5911yescharacteristic
1295C24C23×D5911yescharacteristic
1296C24C23×D5911yescharacteristic
1297C2×Q8—1182no—
1298C2×Q8—2361no—
1299C2×Q8—2361no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—1182no—
1319C2×D4—1182no—
1320C2×D4—1182no—
1321C2×D4—1182no—
1322C2×D4—1182no—
1323C2×D4—1182no—
1324C2×D4—1182no—
1325C2×D4—1182no—
1326C2×D4—1182no—
1327C2×D4—1182no—
1328C2×D4—1182no—
1329C2×D4—1182no—
1330C2×D4—1182no—
1331C2×D4—1182no—
1332C2×D4—1182no—
1333C2×D4—1182no—
1334C2×D4—2361no—
1335C2×D4—2361no—
1336C2×D4—2361no—
1337C2×D4—2361no—
1338C2×D4—2361no—
1339C2×D4—2361no—
1340C2×D4—2361no—
1341C2×D4—2361no—
1342C2×D4—2361no—
1343C2×D4—2361no—
1344C2×D4—2361no—
1345C2×D4—23616no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—591no—
1356C22×C4—591no—
1357C22×C4—594no—
1358C22×C4—594no—
1359C22×C4—591no—
1360C22×C4—591no—
1361C22×C4—591no—
1362C22×C4—591no—
1363C22×C4—591no—
1364C22×C4—591no—
1365C22×C4—591no—
1366C22×C4—591no—
1367C22×C4—591no—
1368C22×C4—591no—
1369C22×C4—591no—
1370C22×C4—1182no—
1371C22×C4—1182no—
1372C22×C4—1182no—
1373C22×C4—1182no—
1374C22×C4—1182no—
1375C22×C4—1182no—
1376C22×C4—1182no—
1377C22×C4—1182no—
1378C22×C4—1182no—
1379C22×C4—1182no—
1380C22×C4—1182no—
1381C22×C4—1182no—
1382C22×C4—2361no—
1383C22×C4—2361no—
1384C22×C4—2361no—
1385C22×C4—2361no—
1386C22×C4—2361no—
1387C22×C4—2361no—
1388C22×C4—2361no—
1389C22×C4—2361no—
1390C22×C4—2361no—
1391C22×C4—2361no—
1392C22×C4—2361no—
1393C22×C4—2361no—
1394C22×C4—2361no—
1395C22×C4—2361no—
1396C22×C4—2361no—
1397C22×C4—2361no—
1398C22×C4—23616no—
1399C22×C4—2361no—
1400C22×C4—2361no—
1401C22×C4—2361no—
1402C22×C4—2361no—
1403C22×C4—2361no—
1404C22×C4—2361no—
1405C22×C4C23×D5911yescharacteristic
1406C22×C4C23×D5911yescharacteristic
1407C22×C4C23×D5911yescharacteristic
1408C22×C4C23×D5911yescharacteristic
1409C22×C4C23×D5911yescharacteristic
1410C22×C4C23×D5911yescharacteristic
1411C22×C4C23×D5911yescharacteristic
1412C22×C4C23×D5911yescharacteristic
1413C22×C4C23×D5911yescharacteristic
1414C22×C4C23×D5911yescharacteristic
1415C22×C4C23×D5911yescharacteristic
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—1182no—
1424C4⋊C4—1182no—
1425C4⋊C4—1182no—
1426C4⋊C4—1182no—
1427C4⋊C4—1182no—
1428C4⋊C4—1182no—
1429C4⋊C4—1182no—
1430C4⋊C4—1182no—
1431C4⋊C4—1182no—
1432C4⋊C4—1182no—
1433C4⋊C4—1182no—
1434C4⋊C4—2361no—
1435C4⋊C4—2361no—
1436C4⋊C4—2361no—
1437C4⋊C4—2361no—
1438C4⋊C4—2361no—
1439C4⋊C4—2361no—
1440C4⋊C4—2361no—
1441C4⋊C4—2361no—
1442C4⋊C4—2361no—
1443C4⋊C4—2361no—
1444C4⋊C4—2361no—
1445C4⋊C4—2361no—
1446C4⋊C4—2361no—
1447C4⋊C4—2361no—
1448C4⋊C4—2361no—
1449C4⋊C4—2361no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—594no—
1463C22⋊C4—594no—
1464C22⋊C4—594no—
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—1182no—
1474C22⋊C4—1182no—
1475C22⋊C4—1182no—
1476C22⋊C4—1182no—
1477C22⋊C4—1182no—
1478C22⋊C4—1182no—
1479C22⋊C4—1182no—
1480C22⋊C4—1182no—
1481C22⋊C4—1182no—
1482C22⋊C4—1182no—
1483C22⋊C4—1182no—
1484C22⋊C4—1182no—
1485C22⋊C4—1182no—
1486C22⋊C4—1182no—
1487C22⋊C4—2361no—
1488C22⋊C4—2361no—
1489C22⋊C4—2361no—
1490C22⋊C4—2361no—
1491C22⋊C4—2361no—
1492C22⋊C4—2361no—
1493C22⋊C4—2361no—
1494C22⋊C4—2361no—
1495C22⋊C4—2361no—
1496C22⋊C4—2361no—
1497C22⋊C4—2361no—
1498C22⋊C4—2361no—
1499C22⋊C4—2361no—
1500C22⋊C4—2361no—
1501C22⋊C4—2361no—
1502C22⋊C4—2361no—
1503C22⋊C4D4×D5914yes—
1504C42—1182no—
1505C42—1182no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—592no—
1533C23—592no—
1534C23—592no—
1535C23—592no—
1536C23—592no—
1537C23—1188no—
1538C23—1188no—
1539C23—1181no—
1540C23—1181no—
1541C23—1181no—
1542C23—1181no—
1543C23—1181no—
1544C23—1181no—
1545C23—1181no—
1546C23—1181no—
1547C23—1181no—
1548C23—1181no—
1549C23—1181no—
1550C23—1181no—
1551C23—1181no—
1552C23—1181no—
1553C23—1181no—
1554C23—1181no—
1555C23—4722no—
1556C23—4722no—
1557C23—4722no—
1558C23—4722no—
1559C23—2364no—
1560C23—2364no—
1561C23—2364no—
1562C23—2364no—
1563C23—2364no—
1564C23—2364no—
1565C23—2364no—
1566C23—2364no—
1567C23C2×D4×D5912yes—
1568C23#1427377212yes—
1569C23C24×D5911yescharacteristic
1570Q8—4722no—
1571D4—44no—
1572D4—82no—
1573D4—82no—
1574D4—82no—
1575D4—82no—
1576D4—82no—
1577D4—4722no—
1578D4—4722no—
1579D4—4722no—
1580D4—4722no—
1581D4—2364no—
1582D4—2364no—
1583D4—2364no—
1584D4—2364no—
1585D4—2364no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—44no—
1618C2×C4—82no—
1619C2×C4—82no—
1620C2×C4—592no—
1621C2×C4—592no—
1622C2×C4—1181no—
1623C2×C4—1181no—
1624C2×C4—1181no—
1625C2×C4—1181no—
1626C2×C4—1181no—
1627C2×C4—1181no—
1628C2×C4—1181no—
1629C2×C4—1181no—
1630C2×C4—1181no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—1181no—
1648C2×C4—1181no—
1649C2×C4—1181no—
1650C2×C4—1181no—
1651C2×C4—1181no—
1652C2×C4—1181no—
1653C2×C4—1181no—
1654C2×C4—1181no—
1655C2×C4—1181no—
1656C2×C4—1181no—
1657C2×C4—1181no—
1658C2×C4—1181no—
1659C2×C4—4722no—
1660C2×C4—4722no—
1661C2×C4—4722no—
1662C2×C4—4722no—
1663C2×C4—2364no—
1664C2×C4—2364no—
1665C2×C4—2364no—
1666C2×C4—2364no—
1667C2×C4—2364no—
1668C2×C4—2364no—
1669C2×C4—2364no—
1670C2×C4—2364no—
1671C2×C4C2×D4×D5912yes—
1672C2×C4C2×D4×D5912yes—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—594no—
1702C22—1182no—
1703C22—1182no—
1704C22—1182no—
1705C22—1182no—
1706C22—1182no—
1707C22—1182no—
1708C22—1182no—
1709C22—1182no—
1710C22—1182no—
1711C22—1182no—
1712C22—1182no—
1713C22—1182no—
1714C22—4728no—
1715C22—23616no—
1716C22—2361no—
1717C22—2361no—
1718C22—2361no—
1719C22—2361no—
1720C22—2361no—
1721C22—2361no—
1722C22—2361no—
1723C22—2361no—
1724C22C22×D4×D5911yescharacteristic
1725C22H(5,𝔽2)×D5911yescharacteristic
1726C22H(5,𝔽2)×D5911yescharacteristic
1727C22C2×#1427377211yescharacteristic
1728C222−1+4×D5911yescharacteristic
1729C22#1683823711yescharacteristic
1730C22#1683823811yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—1182no—
1743C4—1182no—
1744C4—2361no—
1745C4—2361no—
1746C4—2361no—
1747C4—2361no—
1748C4—2361no—
1749C4—2361no—
1750C4—2361no—
1751C4—2361no—
1752C4—2361no—
1753C4—2361no—
1754C4—2361no—
1755C2—42no—
1756C2—42no—
1757C2—81no—
1758C2—81no—
1759C2—1184no—
1760C2—2362no—
1761C2—2362no—
1762C2#537×D5911yescharacteristic
1763C2#2143772411yescharacteristic
1764C2#2143773311yescharacteristic
1765C2#2143827611yescharacteristic
1766C2#2143827911yescharacteristic
1767C2#2143829611yescharacteristic
1768C2#2143829711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2671C2
hypercenter#2671D59
hypocenterC59#36709
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2671

Complements

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

NH ≅ G/Ntype
1. C2×#16837984C2semidirect
2. C2×#123×D59C2semidirect
3. #21432382C2semidirect
4. #21432375C2semidirect
5. #21430637C2semidirect
6. #21430635C2semidirect
7. #21430629C2semidirect
8. #21430627C2semidirect
9. #21430607C2semidirect
10. #21430605C2semidirect
11. #21430604C2semidirect
12. #21430602C2semidirect
13. #21430353C2semidirect
14. #21430352C2semidirect
15. #21430341C2semidirect
16. #21430340C2semidirect
17. #21430331C2semidirect
18. #21430328C2semidirect
19. #21430327C2semidirect
20. #21429914C2semidirect
21. #21429837C2semidirect
22. #21428984C2semidirect
23. #21428981C2semidirect
24. #21428409C2semidirect
25. #21428406C2semidirect
26. #21427491C2semidirect
27. #21427487C2semidirect
28. #21427467C2semidirect
29. #21427463C2semidirect
30. #21426707C2semidirect
31. C59×#2671C2semidirect
35. C2×#14273722C22semidirect
36. C2×#14273720C22semidirect
37. C2×#14273714C22semidirect
38. C2×#14273713C22semidirect
43. C2×#14273710C22semidirect
49. C2×#14273708C22semidirect
52. C2×#14273705C22semidirect
53. C2×#14273704C22semidirect
56. C2×#14273699C22semidirect
59. C2×#14273698C22semidirect
73. #16837344C22semidirect
74. #16837343C22semidirect
75. #16837343C22semidirect
76. #16837343C22semidirect
77. #16837342C22semidirect
78. #16837340C22semidirect
79. #16837338C22semidirect
80. #16837338C22semidirect
81. #16837338C22semidirect
82. #16837335C22semidirect
83. #16837335C22semidirect
84. #16837334C22semidirect
85. #16837332C22semidirect
86. #16837332C22semidirect
87. #16837331C22semidirect
88. #16837330C22semidirect
89. #16837329C22semidirect
90. #16837327C22semidirect
91. #16837326C22semidirect
92. #16837325C22semidirect
93. #16837325C22semidirect
94. #16837325C22semidirect
95. #16837325C22semidirect
96. #16837325C22semidirect
97. #16837325C22semidirect
98. #16837324C22semidirect
99. #16837323C22semidirect
100. #16837322C22semidirect
103. #16837318C22semidirect
104. #16837318C22semidirect
106. #16837317C22semidirect
107. #16837317C22semidirect
109. #16837316C22semidirect
110. #16837316C22semidirect
111. #16837316C22semidirect
115. #16837301C22semidirect
116. #16837298C22semidirect
117. #16837297C22semidirect
118. #16837297C22semidirect
119. #16837295C22semidirect
120. #16837294C22semidirect
121. #16837291C22semidirect
122. #16837290C22semidirect
124. #16837282C22semidirect
125. #16837282C22semidirect
126. #16837282C22semidirect
127. #16837282C22semidirect
129. #16837281C22semidirect
131. #16837279C22semidirect
137. #16837278C22semidirect
138. #16837278C22semidirect
139. #16837278C22semidirect
140. #16837278C22semidirect
141. #16837277C22semidirect
144. #16837276C22semidirect
145. #16837276C22semidirect
146. #16837276C22semidirect
147. #16837275C22semidirect
148. #16837275C22semidirect
149. #16837274C22semidirect
152. #16837273C22semidirect
153. #16837273C22semidirect
154. #16837273C22semidirect
157. #16837262C22semidirect
158. #16837262C22semidirect
159. #16837262C22semidirect
162. #16837261C22semidirect
163. #16837261C22semidirect
164. #16837260C22semidirect
165. #16837260C22semidirect
166. #16837260C22semidirect
167. #16837260C22semidirect
170. #16837259C22semidirect
171. #16837259C22semidirect
176. C2×#121×C59C22semidirect
177. C2×#121×C59C22semidirect
178. C59×#399C22semidirect
179. C59×#398C22semidirect
180. C59×#394C22semidirect
181. C59×#394C22semidirect
182. C59×#394C22semidirect
184. C59×#386C22semidirect
185. C59×#386C22semidirect
186. C59×#385C22semidirect
187. C59×#385C22semidirect
188. C59×#380C22semidirect
323. C22⋊C4×D59D4semidirect
890. #2671D59semidirect
946. C2×#121C2×D59semidirect
947. C2×#121C2×D59semidirect
970. #399C2×D59semidirect
976. #398C2×D59semidirect
1002. #394C2×D59semidirect
1003. #394C2×D59semidirect
1004. #394C2×D59semidirect
1035. #386C2×D59semidirect
1036. #386C2×D59semidirect
1051. #385C2×D59semidirect
1052. #385C2×D59semidirect
1070. #380C2×D59semidirect
1073. C59#36709semidirect

Maximal subgroups

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

subgroupindex
C2×#168379842
C2×#123×D592
#214323822
#214323752
#214306372
#214306352
#214306292
#214306272
#214306072
#214306052
#214306042
#214306022
#214303532
#214303522
#214303412
#214303402
#214303312
#214303282
#214303272
#214299142
#214298372
#214289842
#214289812
#214284092
#214284062
#214274912
#214274872
#214274672
#214274632
#214267072
C59×#26712
#3670959