Finite Group Databasebeta

← #28747765

Subgroups — #28747765

Order 15104.

2650 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837984C211yesmaximal, characteristic
2#21426905C211yesmaximal, characteristic, complemented
3#21426904C211yesmaximal, characteristic, complemented
4#21426887C211yesmaximal, characteristic, complemented
5#21426886C211yesmaximal, characteristic, complemented
6#21426874C211yesmaximal, characteristic, complemented
7#21426873C211yesmaximal, characteristic, complemented
8#21426855C211yesmaximal, characteristic, complemented
9#21426823C211yesmaximal, characteristic, complemented
10#21426798C211yesmaximal, characteristic, complemented
11#21426755C211yesmaximal, characteristic, complemented
12#21426752C211yesmaximal, characteristic, complemented
13#21426726C211yesmaximal, characteristic, complemented
14#21426725C211yesmaximal, characteristic, complemented
15#21426690C211yesmaximal, characteristic, complemented
16#21426650C211yesmaximal, characteristic, complemented
17#21426646C211yesmaximal, characteristic, complemented
18#21426643C211yesmaximal, characteristic, complemented
19#21426637C211yesmaximal, characteristic, complemented
20#21426630C211yesmaximal, characteristic, complemented
21#21426621C211yesmaximal, characteristic, complemented
22#21426613C211yesmaximal, characteristic, complemented
23#21426612C211yesmaximal, characteristic, complemented
24#121×Dic59C211yesmaximal, characteristic, complemented
25#21426606C211yesmaximal, characteristic, complemented
26#21426601C211yesmaximal, characteristic, complemented
27#21426601C211yesmaximal, characteristic, complemented
28C4×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
29C4×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2333C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33#16837984C4116yescomplemented
34C2×#14273722C2211yescharacteristic
35C2×#14273720C2211yescharacteristic
36C2×#14273714C2211yescharacteristic
37C2×#14273713C2211yescharacteristic
38C2×#14273710C2211yescharacteristic
39C2×#14273708C2211yescharacteristic
40C2×#14273705C2211yescharacteristic
41C2×#14273699C2211yescharacteristic
42C2×#14273698C2211yescharacteristic
43C2×#14273695C2211yescharacteristic
44C2×#14273695C2211yescharacteristic
45C2×#14273692C2211yescharacteristic, complemented
46C2×D4×Dic59C2211yescharacteristic
47C2×D4×Dic59C2211yescharacteristic
48C2×D4×Dic59C2211yescharacteristic, complemented
49C2×C4×C22⋊D59C2211yescharacteristic
50C2×C4×C22⋊D59C2211yescharacteristic
51C2×(C22⋊D59)⋊C4C2211yescharacteristic
52C2×(C22⋊D59)⋊C4C2211yescharacteristic
53C2×(C22⋊D59)⋊C4C2211yescharacteristic
54C2×(C22⋊D59)⋊C4C2211yescharacteristic
55C2×(C22⋊D59)⋊C4C2211yescharacteristic
56C2×(C22⋊D59)⋊C4C2211yescharacteristic
57C2×C22⋊C4×D59C2211yescharacteristic
58C2×C22⋊C4×D59C2211yescharacteristic
59C22×C4×Dic59C2211yescharacteristic, complemented
60C22×C4×Dic59C2211yescharacteristic, complemented
61C2×C42×D59C2211yescharacteristic
62C2×C42×D59C2211yescharacteristic
63#16837308C2211yescharacteristic, complemented
64#16837306C2211yescharacteristic, complemented
65#16837306C2211yescharacteristic, complemented
66#16837305C2211yescharacteristic
67#16837302C2211yescharacteristic
68#16837302C2211yescharacteristic
69#16837301C2211yescharacteristic, complemented
70#16837300C2211yescharacteristic, complemented
71#16837299C2211yescharacteristic, complemented
72#16837299C2211yescharacteristic, complemented
73#16837296C2211yescharacteristic
74#16837296C2211yescharacteristic
75#16837296C2211yescharacteristic
76#16837296C2211yescharacteristic, complemented
77#16837296C2211yescharacteristic, complemented
78#16837296C2211yescharacteristic, complemented
79#16837295C2211yescharacteristic
80#16837295C2211yescharacteristic, complemented
81#16837294C2211yescharacteristic
82#16837294C2211yescharacteristic
83#16837293C2211yescharacteristic
84#16837293C2211yescharacteristic
85#16837292C2211yescharacteristic
86#16837292C2211yescharacteristic
87#16837291C2211yescharacteristic
88#16837291C2211yescharacteristic
89#16837290C2211yescharacteristic
90#16837290C2211yescharacteristic
91#16837290C2211yescharacteristic
92#16837290C2211yescharacteristic, complemented
93#16837290C2211yescharacteristic, complemented
94#16837290C2211yescharacteristic, complemented
95#16837289C2211yescharacteristic, complemented
96#16837289C2211yescharacteristic, complemented
97#16837289C2211yescharacteristic, complemented
98#16837287C2211yescharacteristic, complemented
99#16837286C2211yescharacteristic, complemented
100#16837286C2211yescharacteristic, complemented
101#16837285C2211yescharacteristic, complemented
102#16837284C2211yescharacteristic, complemented
103#16837284C2211yescharacteristic, complemented
104#16837283C2211yescharacteristic, complemented
105#16837282C2211yescharacteristic
106#16837282C2211yescharacteristic, complemented
107#16837281C2211yescharacteristic
108#16837279C2211yescharacteristic
109#16837278C2211yescharacteristic
110#16837278C2211yescharacteristic
111#16837278C2211yescharacteristic
112#16837278C2211yescharacteristic
113#16837278C2211yescharacteristic
114#16837278C2211yescharacteristic
115#16837276C2211yescharacteristic
116#16837276C2211yescharacteristic
117#16837276C2211yescharacteristic
118#16837276C2211yescharacteristic
119#16837276C2211yescharacteristic
120#16837275C2211yescharacteristic
121#16837275C2211yescharacteristic
122#16837275C2211yescharacteristic, complemented
123#16837274C2211yescharacteristic, complemented
124#16837273C2211yescharacteristic
125#16837269C2211yescharacteristic, complemented
126#16837269C2211yescharacteristic, complemented
127#16837267C2211yescharacteristic, complemented
128#16837266C2211yescharacteristic, complemented
129#16837263C2211yescharacteristic, complemented
130#16837262C2211yescharacteristic, complemented
131#16837261C2211yescharacteristic
132#16837260C2211yescharacteristic, complemented
133#16837259C2211yescharacteristic
134#16837257C2211yescharacteristic
135#16837257C2211yescharacteristic
136C4⋊C4×Dic59C2211yescharacteristic, complemented
137C4⋊C4×Dic59C2211yescharacteristic, complemented
138C4×Dic59⋊C4C2211yescharacteristic, complemented
139C4×Dic59⋊C4C2211yescharacteristic, complemented
140#16837253C2211yescharacteristic, complemented
141#16837253C2211yescharacteristic, complemented
142#16837253C2211yescharacteristic, complemented
143#16837253C2211yescharacteristic, complemented
144#16837253C2211yescharacteristic, complemented
145#16837253C2211yescharacteristic, complemented
146C22⋊C4×Dic59C2211yescharacteristic
147C22⋊C4×Dic59C2211yescharacteristic
148C22⋊C4×Dic59C2211yescharacteristic
149C22⋊C4×Dic59C2211yescharacteristic
150C22⋊C4×Dic59C2211yescharacteristic, complemented
151C22⋊C4×Dic59C2211yescharacteristic, complemented
152C22⋊C4×Dic59C2211yescharacteristic, complemented
153C22⋊C4×Dic59C2211yescharacteristic, complemented
154C22⋊C4×Dic59C2211yescharacteristic, complemented
155C22⋊C4×Dic59C2211yescharacteristic, complemented
156C4×(C2×D59)⋊C4C2211yescharacteristic
157C4×(C2×D59)⋊C4C2211yescharacteristic
158C4×(C2×D59)⋊C4C2211yescharacteristic
159C4×(C2×D59)⋊C4C2211yescharacteristic
160C4×C22⋊Dic59C2211yescharacteristic
161#16837249C2211yescharacteristic
162#16837249C2211yescharacteristic
163#16837249C2211yescharacteristic
164#16837249C2211yescharacteristic
165#16837249C2211yescharacteristic
166#16837249C2211yescharacteristic
167#16837249C2211yescharacteristic
168#16837249C2211yescharacteristic
169#95×D59C2211yescharacteristic
170#95×D59C2211yescharacteristic
171C42×Dic59C2211yescharacteristic, complemented
172C42×Dic59C2211yescharacteristic, complemented
173C2×#121×C59C2211yescharacteristic
174C59×#390C2211yescharacteristic
175C59×#390C2211yescharacteristic, complemented
176C59×#388C2211yescharacteristic
177C59×#388C2211yescharacteristic, complemented
178C59×#387C2211yescharacteristic, complemented
179C59×#387C2211yescharacteristic, complemented
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic, complemented
184C59×#381C2211yescharacteristic, complemented
185C4×C22⋊C4×C59C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C4×C22⋊C4×C59C2211yescharacteristic, complemented
188C24×D59C2311yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C23×Dic59C2311yescharacteristic
195C23×Dic59C2311yescharacteristic
196C23×Dic59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C22×C4×D59—24no—
200C22×C4×D59—42no—
201C22×C4×D59—42no—
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210#14273722C2×C418yescomplemented
211#14273720C2×C418yescomplemented
212#14273714C2×C418yescomplemented
213#14273713C2×C418yescomplemented
214#14273710C2×C418yescomplemented
215#14273708C2×C418yescomplemented
216#14273705C2×C418yescomplemented
217#14273699C2×C418yescomplemented
218#14273698C2×C418yescomplemented
219#14273695C2×C418yescomplemented
220#14273695C2×C418yescomplemented
221#14273692—42no—
222D4×Dic59—42no—
223D4×Dic59—42no—
224D4×Dic59—42no—
225C4×C22⋊D59—24no—
226C4×C22⋊D59C2×C418yescomplemented
227(C22⋊D59)⋊C4—24no—
228(C22⋊D59)⋊C4—24no—
229(C22⋊D59)⋊C4—24no—
230(C22⋊D59)⋊C4—42no—
231(C22⋊D59)⋊C4—42no—
232(C22⋊D59)⋊C4C2×C418yescomplemented
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C22⋊C4×D59—24no—
283C22⋊C4×D59C2×C418yescomplemented
284C2×C4×Dic59—42no—
285C2×C4×Dic59—42no—
286C2×C4×Dic59C2311yescharacteristic
287C2×C4×Dic59C2311yescharacteristic
288C2×C4×Dic59C2311yescharacteristic
289C2×C4×Dic59C2311yescharacteristic
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C42×D59—42no—
309C42×D59—42no—
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
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
340C22×D4×C59C2311yescharacteristic
341C22×D4×C59C2311yescharacteristic
342C22×D4×C59C2311yescharacteristic
343C23×C4×C59C2311yescharacteristic
344C23×C4×C59C2311yescharacteristic
345C23×C4×C59C2311yescharacteristic
346#121×C59C2×C418yescomplemented
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C4⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C42×C59C2311yescharacteristic
363C2×C42×C59C2311yescharacteristic
364C2×C42×C59C2311yescharacteristic
365C2×C42×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369#95×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375#95×C59C2311yescharacteristic
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C24×C59C2411yescharacteristic
379C23×D59—22no—
380C23×D59—22no—
381C23×D59—41no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59—41no—
385C23×D59C22×C414yes—
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C2×D4×C59—41no—
389C2×D4×C59—41no—
390C2×D4×C59—41no—
391C2×D4×C59—41no—
392C2×D4×C59—41no—
393C2×D4×C59—41no—
394C2×D4×C59C22×C414yes—
395C2×D4×C59C22×C414yes—
396C2×D4×C59C22×C414yescomplemented
397C22×C4×C59—22no—
398C22×C4×C59—22no—
399C22×C4×C59—41no—
400C22×C4×C59—41no—
401C22×C4×C59—41no—
402C22×C4×C59—41no—
403C22×C4×C59—41no—
404C22×C4×C59—41no—
405C22×C4×C59C22×C414yescomplemented
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C2×C22⋊D59—22no—
419C2×C22⋊D59—22no—
420C2×C22⋊D59—22no—
421C2×C22⋊D59—22no—
422C2×C22⋊D59—41no—
423C2×C22⋊D59—41no—
424C2×C22⋊D59—41no—
425C2×C22⋊D59—41no—
426C2×C22⋊D59C22×C414yes—
427C2×C22⋊D59C22×C414yes—
428C2×C22⋊D59C22×C414yes—
429C2×C22⋊D59C22×C414yes—
430C22×Dic59—22no—
431C22×Dic59—22no—
432C22×Dic59—22no—
433C22×Dic59—22no—
434C22×Dic59—22no—
435C22×Dic59—22no—
436C22×Dic59—22no—
437C22×Dic59—22no—
438C22×Dic59—22no—
439C22×Dic59—22no—
440C22×Dic59—41no—
441C22×Dic59—41no—
442C22×Dic59—41no—
443C22×Dic59—41no—
444C22×Dic59C22×C414yescomplemented
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C2×C4×D59—22no—
460C2×C4×D59—22no—
461C2×C4×D59—22no—
462C2×C4×D59—22no—
463C2×C4×D59—22no—
464C2×C4×D59—22no—
465C2×C4×D59—22no—
466C2×C4×D59—22no—
467C2×C4×D59—416no—
468C2×C4×D59—41no—
469C2×C4×D59—41no—
470C2×C4×D59—41no—
471C2×C4×D59—41no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×C4×D59—41no—
478C2×C4×D59—41no—
479C2×C4×D59—41no—
480C2×C4×D59C22×C414yes—
481C2×C4×D59C22×C414yes—
482C2×C4×D59#4114yes—
483C2×C4×D59#4114yes—
484C2×Dic118—41no—
485C2×Dic118—41no—
486C2×Dic118C22×C414yescomplemented
487C4⋊C4×C59—41no—
488C4⋊C4×C59—41no—
489C4⋊C4×C59C22×C414yescomplemented
490C22⋊C4×C59—22no—
491C22⋊C4×C59—22no—
492C22⋊C4×C59—22no—
493C22⋊C4×C59—22no—
494C22⋊C4×C59—41no—
495C22⋊C4×C59—41no—
496C22⋊C4×C59—41no—
497C22⋊C4×C59—41no—
498C22⋊C4×C59—41no—
499C22⋊C4×C59—41no—
500C22⋊C4×C59C22×C414yes—
501C22⋊C4×C59C22×C414yescomplemented
502C42×C59—41no—
503C42×C59—41no—
504C42×C59—41no—
505C42×C59—41no—
506C22⋊Dic59—22no—
507C22⋊Dic59—22no—
508C22⋊Dic59—41no—
509C22⋊Dic59—41no—
510C22⋊Dic59—41no—
511C22⋊Dic59—41no—
512C22⋊Dic59—41no—
513C22⋊Dic59—41no—
514C22⋊Dic59C22×C414yes—
515C22⋊Dic59C22×C414yes—
516C22⋊Dic59C22×C414yes—
517C22⋊Dic59C22×C414yescomplemented
518C22⋊Dic59C22×C414yescomplemented
519C22⋊Dic59C22×C414yescomplemented
520(C2×D59)⋊C4—22no—
521(C2×D59)⋊C4—22no—
522(C2×D59)⋊C4—22no—
523(C2×D59)⋊C4—22no—
524(C2×D59)⋊C4—22no—
525(C2×D59)⋊C4—22no—
526(C2×D59)⋊C4—41no—
527(C2×D59)⋊C4—41no—
528(C2×D59)⋊C4—41no—
529(C2×D59)⋊C4—41no—
530(C2×D59)⋊C4C22×C414yes—
531(C2×D59)⋊C4C22×C414yes—
532(C2×D59)⋊C4C22×C414yes—
533(C2×D59)⋊C4C22×C414yes—
534(C2×D59)⋊C4C22×C414yes—
535(C2×D59)⋊C4C22×C414yes—
536C4⋊Dic59—41no—
537C4⋊Dic59—41no—
538C4⋊Dic59—41no—
539C4⋊Dic59—41no—
540C4⋊Dic59C22×C414yescomplemented
541Dic59⋊C4—22no—
542Dic59⋊C4—22no—
543Dic59⋊C4—22no—
544Dic59⋊C4—22no—
545Dic59⋊C4—41no—
546Dic59⋊C4—41no—
547Dic59⋊C4—41no—
548Dic59⋊C4—41no—
549Dic59⋊C4—41no—
550Dic59⋊C4—41no—
551Dic59⋊C4C22×C414yescomplemented
552Dic59⋊C4C22×C414yescomplemented
553Dic59⋊C4C22×C414yescomplemented
554Dic59⋊C4C22×C414yescomplemented
555C4×Dic59—22no—
556C4×Dic59—22no—
557C4×Dic59—22no—
558C4×Dic59—22no—
559C4×Dic59—22no—
560C4×Dic59—22no—
561C4×Dic59—22no—
562C4×Dic59—22no—
563C4×Dic59—22no—
564C4×Dic59—22no—
565C4×Dic59—22no—
566C4×Dic59—22no—
567C4×Dic59—41no—
568C4×Dic59—41no—
569C4×Dic59—41no—
570C4×Dic59—41no—
571C4×Dic59—41no—
572C4×Dic59—41no—
573C4×Dic59—41no—
574C4×Dic59—41no—
575C4×Dic59C22×C414yescomplemented
576C4×Dic59C22×C414yescomplemented
577C23×C59—21no—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—21no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59C23×C412yes—
596C23×C59C23×C412yes—
597C23×C59C23×C412yes—
598C23×C59C2511yescharacteristic
599C22×D59—21no—
600C22×D59—21no—
601C22×D59—21no—
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—21no—
606C22×D59—21no—
607C22×D59—21no—
608C22×D59—21no—
609C22×D59—28no—
610C22×D59—44no—
611C22×D59—44no—
612C22×D59—44no—
613C22×D59—44no—
614C22×D59—44no—
615C22×D59—44no—
616C22×D59C23×C412yes—
617C22×D59C23×C412yes—
618C22×D59C2×#4112yes—
619C22×D59C2×#4112yes—
620D4×C59—44no—
621D4×C59—44no—
622D4×C59—44no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—44no—
654C2×C4×C59—44no—
655C2×C4×C59—44no—
656C2×C4×C59C23×C412yes—
657C2×C4×C59C23×C412yes—
658C2×C4×C59C23×C412yes—
659C2×C4×C59C23×C412yes—
660C2×C4×C59C2×#4112yes—
661C2×C4×C59C2×#4112yes—
662C22⋊D59—28no—
663C22⋊D59—28no—
664C22⋊D59—44no—
665C22⋊D59—44no—
666C2×Dic59—21no—
667C2×Dic59—21no—
668C2×Dic59—21no—
669C2×Dic59—21no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—21no—
673C2×Dic59—21no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—44no—
699C2×Dic59—44no—
700C2×Dic59—44no—
701C2×Dic59—44no—
702C2×Dic59—44no—
703C2×Dic59C23×C412yes—
704C2×Dic59C23×C412yes—
705C2×Dic59C23×C412yes—
706C2×Dic59C23×C412yes—
707C2×Dic59C23×C412yes—
708C2×Dic59C23×C412yes—
709C2×Dic59C2×#4112yes—
710C2×Dic59C2×#4112yes—
711C2×Dic59H(5,𝔽2)12yes—
712C2×Dic59H(5,𝔽2)12yes—
713C4×D59—28no—
714C4×D59—44no—
715C4×D59—44no—
716C4×D59—44no—
717C4×D59—44no—
718C4×D59—44no—
719C4×D59—44no—
720C4×D59—44no—
721Dic118—44no—
722C4×#538—591nomaximal, Sylow
723C22×C59—22no—
724C22×C59—22no—
725C22×C59—22no—
726C22×C59—22no—
727C22×C59—22no—
728C22×C59—22no—
729C22×C59—22no—
730C22×C59—22no—
731C22×C59—22no—
732C22×C59—41no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59—41no—
741C22×C59—41no—
742C22×C59—41no—
743C22×C59—41no—
744C22×C59C24×C411yescharacteristic
745C22×C59C22×#4111yescharacteristic
746C22×C59C22×#4111yescharacteristic
747C22×C59C2×H(5,𝔽2)11yescharacteristic
748C22×C59C2×H(5,𝔽2)11yescharacteristic
749C22×C59#58511yescharacteristic
750C22×C59#58511yescharacteristic
751C2×D59—22no—
752C2×D59—22no—
753C2×D59—22no—
754C2×D59—22no—
755C2×D59—22no—
756C2×D59—22no—
757C2×D59—22no—
758C2×D59—22no—
759C2×D59—22no—
760C2×D59—416no—
761C2×D59—41no—
762C2×D59—41no—
763C2×D59—41no—
764C2×D59—41no—
765C2×D59C4×#4114yes—
766C4×C59—22no—
767C4×C59—22no—
768C4×C59—22no—
769C4×C59—22no—
770C4×C59—22no—
771C4×C59—22no—
772C4×C59—41no—
773C4×C59—41no—
774C4×C59—41no—
775C4×C59—41no—
776C4×C59—41no—
777C4×C59—41no—
778Dic59—22no—
779Dic59—22no—
780Dic59—22no—
781Dic59—22no—
782Dic59—22no—
783Dic59—22no—
784Dic59—22no—
785Dic59—41no—
786Dic59—41no—
787Dic59—41no—
788Dic59—41no—
789Dic59—41no—
790Dic59—41no—
791Dic59#53814yescomplemented
792C2×#538—591no—
793#2337—591no—
794#2337—591no—
795#2335—591no—
796#2335—591no—
797#2334—591no—
798#2334—591no—
799#2333—591no—
800#2333D5911yescharacteristic, complemented
801#2329—591no—
802#2325—591no—
803#2321—591no—
804#2321—591no—
805#2318—591no—
806#2318—591no—
807#2312—591no—
808C4×#126—591no—
809C4×#126—591no—
810C4×#124—591no—
811C4×#124—591no—
812C4×C22⋊Q8—591no—
813C4×#123—591no—
814C4×#123—591no—
815C4×#121—591no—
816C4×#121—591no—
817C4×#121—591no—
818C4×#120—591no—
819C4×#120—591no—
820C42×D4—591no—
821C42×D4—591no—
822C2×C4×C22⋊C4—591no—
823C2×C59—42no—
824C2×C59—42no—
825C2×C59—42no—
826C2×C59C2×C4×#4111yescharacteristic
827C2×C59C4×H(5,𝔽2)11yescharacteristic
828C2×C59C4×H(5,𝔽2)11yescharacteristic
829C2×C59C2×#53811yescharacteristic
830C2×C59#345511yescharacteristic
831C2×C59#345911yescharacteristic
832C2×C59#346011yescharacteristic
833D59—24no—
834D59—42no—
835C24×C4—591no—
836#538—5916no—
837C2×#126—591no—
838C2×#126—591no—
839C2×#124—591no—
840C2×#124—591no—
841C2×#123—591no—
842C2×#123—591no—
843C2×C22⋊Q8—591no—
844C2×#121—591no—
845C2×#121—591no—
846C2×#121C2×D5911yescharacteristic
847C2×#120—591no—
848C2×#120—591no—
849C2×C4×Q8—591no—
850C2×C4×D4—591no—
851C2×C4×D4—591no—
852C2×C4×D4—591no—
853C2×C4×D4—591no—
854C2×C4×D4—591no—
855C2×C4×D4—591no—
856C2×C4×D4—591no—
857C2×C4×D4—591no—
858C2×C4×D4—591no—
859C2×C4×D4—591no—
860C2×C4×D4—591no—
861C22×C22⋊C4—591no—
862C22×C22⋊C4—591no—
863C22×C42—591no—
864C22×C42—591no—
865C22×C42—591no—
866C22×C42—591no—
867#391—591no—
868#391—591no—
869#391—591no—
870#390—591no—
871#390—591no—
872#390—591no—
873#390C2×D5911yescharacteristic
874#390C2×D5911yescharacteristic, complemented
875#389—591no—
876#389—591no—
877#389—591no—
878#389—591no—
879#388—591no—
880#388—591no—
881#388—591no—
882#388—591no—
883#388—591no—
884#388—591no—
885#388—591no—
886#388—591no—
887#388—591no—
888#388—591no—
889#388—591no—
890#388—591no—
891#388—591no—
892#388—591no—
893#388—591no—
894#388—591no—
895#388—591no—
896#388—591no—
897#388—591no—
898#388—591no—
899#388—591no—
900#388—591no—
901#388C2×D5911yescharacteristic
902#388C2×D5911yescharacteristic, complemented
903#387—591no—
904#387—591no—
905#387—591no—
906#387—591no—
907#387—591no—
908#387—591no—
909#387—591no—
910#387—591no—
911#387—591no—
912#387—591no—
913#387C2×D5911yescharacteristic, complemented
914#387C2×D5911yescharacteristic, complemented
915#386—591no—
916#386—591no—
917#386—591no—
918#386—591no—
919#386—591no—
920#386—591no—
921#386—591no—
922#386—591no—
923#386—591no—
924#386—591no—
925#386C2×D5911yescharacteristic
926#386C2×D5911yescharacteristic
927#386C2×D5911yescharacteristic
928#386C2×D5911yescharacteristic, complemented
929#385—591no—
930#385—591no—
931#385—591no—
932#385—591no—
933#385—591no—
934#385—591no—
935#385—591no—
936#385—591no—
937#385—591no—
938#385—591no—
939#383—591no—
940#383—591no—
941#382—591no—
942#382—591no—
943#381—591no—
944#381C2×D5911yescharacteristic, complemented
945#380—591no—
946#380—591no—
947#380—591no—
948#380—591no—
949#379—591no—
950#379—591no—
951C4×C4⋊C4—591no—
952C4×C4⋊C4—591no—
953C4×C4⋊C4—591no—
954C4×C4⋊C4—591no—
955C4×C4⋊C4—591no—
956C4×C4⋊C4—591no—
957C4×C4⋊C4—591no—
958C4×C4⋊C4—591no—
959C4×C4⋊C4—591no—
960C4×C4⋊C4—591no—
961C4×C22⋊C4—591no—
962C4×C22⋊C4—591no—
963C4×C22⋊C4—591no—
964C4×C22⋊C4—591no—
965C4×C22⋊C4—591no—
966C4×C22⋊C4—591no—
967C4×C22⋊C4—591no—
968C4×C22⋊C4—591no—
969C4×C22⋊C4—591no—
970C4×C22⋊C4—591no—
971C4×C22⋊C4—591no—
972C4×C22⋊C4—591no—
973C4×C22⋊C4—591no—
974C4×C22⋊C4—591no—
975C4×C22⋊C4—591no—
976C4×C22⋊C4—591no—
977C4×C22⋊C4—591no—
978C4×C22⋊C4—591no—
979C4×C22⋊C4—591no—
980C4×C22⋊C4—591no—
981C4×C22⋊C4—591no—
982C4×C22⋊C4—591no—
983C4×C22⋊C4—591no—
984C4×C22⋊C4C2×D5911yescharacteristic
985C4×C22⋊C4C2×D5911yescharacteristic, complemented
986C4×C22⋊C4C2×D5911yescharacteristic, complemented
987C2×#95—591no—
988C2×#95—591no—
989C43—591no—
990C43—591no—
991C59C4×#53811yescharacteristic, complemented, Sylow
992C25—591no—
993C22×Q8—591no—
994C22×D4—591no—
995C22×D4—591no—
996C22×D4—591no—
997C22×D4—591no—
998C22×D4C22×D5911yescharacteristic
999C22×D4C22×D5911yescharacteristic
1000C22×D4C22×D5911yescharacteristic
1001C23×C4—591no—
1002C23×C4—591no—
1003C23×C4—591no—
1004C23×C4—591no—
1005C23×C4—591no—
1006C23×C4—591no—
1007C23×C4—591no—
1008C23×C4—591no—
1009C23×C4—591no—
1010C23×C4—591no—
1011C23×C4—591no—
1012C23×C4—591no—
1013C23×C4—591no—
1014C23×C4—1184no—
1015C23×C4—2362no—
1016C23×C4—2362no—
1017C23×C4C22×D5911yescharacteristic
1018C23×C4C22×D5911yescharacteristic
1019C23×C4C22×D5911yescharacteristic
1020#126—598no—
1021#126—598no—
1022#124—598no—
1023#124—598no—
1024#123—598no—
1025#123—598no—
1026C22⋊Q8—598no—
1027#121—598no—
1028#121—598no—
1029#121C4×D5918yescomplemented
1030#120—598no—
1031#120—598no—
1032C4×Q8—2362no—
1033C4×D4—598no—
1034C4×D4—598no—
1035C4×D4—1184no—
1036C4×D4—1184no—
1037C4×D4—1184no—
1038C4×D4—1184no—
1039C4×D4—2362no—
1040C4×D4—2362no—
1041C4×D4—2362no—
1042C4×D4—2362no—
1043C4×D4—2362no—
1044C2×C4⋊C4—591no—
1045C2×C4⋊C4—591no—
1046C2×C4⋊C4—591no—
1047C2×C4⋊C4—591no—
1048C2×C4⋊C4—591no—
1049C2×C4⋊C4—591no—
1050C2×C4⋊C4—591no—
1051C2×C4⋊C4—591no—
1052C2×C4⋊C4—591no—
1053C2×C4⋊C4—591no—
1054C2×C4⋊C4—591no—
1055C2×C4⋊C4—591no—
1056C2×C4⋊C4—591no—
1057C2×C4⋊C4—591no—
1058C2×C4⋊C4—591no—
1059C2×C4⋊C4—591no—
1060C2×C4⋊C4—591no—
1061C2×C4⋊C4—591no—
1062C2×C4⋊C4—591no—
1063C2×C4⋊C4C22×D5911yescharacteristic
1064C2×C4⋊C4C22×D5911yescharacteristic
1065C2×C4⋊C4C22×D5911yescharacteristic
1066C2×C22⋊C4—591no—
1067C2×C22⋊C4—591no—
1068C2×C22⋊C4—591no—
1069C2×C22⋊C4—591no—
1070C2×C22⋊C4—591no—
1071C2×C22⋊C4—591no—
1072C2×C22⋊C4—591no—
1073C2×C22⋊C4—591no—
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—598no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—591no—
1088C2×C22⋊C4—591no—
1089C2×C22⋊C4—591no—
1090C2×C22⋊C4—591no—
1091C2×C22⋊C4—591no—
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊C4—1184no—
1098C2×C22⋊C4C22×D5911yescharacteristic
1099C2×C22⋊C4C22×D5911yescharacteristic
1100C2×C22⋊C4C22×D5911yescharacteristic
1101C2×C22⋊C4C22×D5911yescharacteristic
1102C2×C22⋊C4C22×D5911yescharacteristic
1103C2×C22⋊C4C22×D5911yescharacteristic
1104C2×C22⋊C4C22×D5911yescharacteristic
1105C2×C22⋊C4C22×D5911yescharacteristic
1106C2×C22⋊C4C22×D5911yescharacteristic
1107C2×C22⋊C4C22×D5911yescharacteristic
1108C2×C22⋊C4C22×D5911yescharacteristic
1109C2×C22⋊C4C22×D5911yescharacteristic
1110C2×C42—591no—
1111C2×C42—591no—
1112C2×C42—591no—
1113C2×C42—591no—
1114C2×C42—591no—
1115C2×C42—591no—
1116C2×C42—591no—
1117C2×C42—591no—
1118C2×C42—591no—
1119C2×C42—591no—
1120C2×C42—591no—
1121C2×C42—591no—
1122C2×C42—591no—
1123C2×C42—591no—
1124C2×C42—591no—
1125C2×C42—591no—
1126C2×C42—591no—
1127C2×C42—591no—
1128C2×C42—591no—
1129C2×C42—591no—
1130C2×C42—591no—
1131C2×C42—591no—
1132C2×C42—2362no—
1133C2×C42—2362no—
1134C2×C42—2362no—
1135C2×C42—2362no—
1136C2×C42C22×D5911yescharacteristic
1137C2×C42C22×D5911yescharacteristic
1138C2×C42C22×D5911yescharacteristic
1139C2×C42C22×D5911yescharacteristic
1140#95—591no—
1141#95—591no—
1142#95—591no—
1143#95—591no—
1144#95—591no—
1145#95—591no—
1146#95—591no—
1147#95—591no—
1148#95—591no—
1149#95—591no—
1150#95—591no—
1151#95—591no—
1152#95—591no—
1153#95—591no—
1154#95—591no—
1155#95—591no—
1156#95—591no—
1157#95—591no—
1158#95—591no—
1159#95—591no—
1160#95—591no—
1161#95—591no—
1162#95—591no—
1163#95—591no—
1164#95—591no—
1165#95—591no—
1166#95—591no—
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95C22×D5911yescharacteristic
1171#95C22×D5911yescharacteristic
1172#95C22×D5911yescharacteristic
1173#95C22×D5911yescharacteristic
1174#95C22×D5911yescharacteristic
1175#95C22×D5911yescharacteristic
1176#95C22×D5911yescharacteristic
1177#95C22×D5911yescharacteristic
1178#95C22×D5911yescharacteristic
1179#95C22×D5911yescharacteristic
1180C24—591no—
1181C24—591no—
1182C24—594no—
1183C24—1182no—
1184C24—1182no—
1185C24—2361no—
1186C24—2361no—
1187C24—2361no—
1188C24—2361no—
1189C24C23×D5911yescharacteristic
1190C24C23×D5911yescharacteristic
1191C24C23×D5911yescharacteristic
1192C2×Q8—594no—
1193C2×Q8—2361no—
1194C2×Q8—2361no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—594no—
1202C2×D4—594no—
1203C2×D4—594no—
1204C2×D4—594no—
1205C2×D4—1182no—
1206C2×D4—1182no—
1207C2×D4—1182no—
1208C2×D4—1182no—
1209C2×D4—2361no—
1210C2×D4—2361no—
1211C2×D4—2361no—
1212C2×D4—2361no—
1213C2×D4C2×C4×D5914yes—
1214C2×D4C2×C4×D5914yes—
1215C2×D4C2×C4×D5914yescomplemented
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—591no—
1225C22×C4—591no—
1226C22×C4—591no—
1227C22×C4—591no—
1228C22×C4—591no—
1229C22×C4—591no—
1230C22×C4—591no—
1231C22×C4—591no—
1232C22×C4—594no—
1233C22×C4—594no—
1234C22×C4—594no—
1235C22×C4—594no—
1236C22×C4—594no—
1237C22×C4—591no—
1238C22×C4—591no—
1239C22×C4—591no—
1240C22×C4—591no—
1241C22×C4—591no—
1242C22×C4—591no—
1243C22×C4—1182no—
1244C22×C4—1182no—
1245C22×C4—1182no—
1246C22×C4—1182no—
1247C22×C4—1182no—
1248C22×C4—1182no—
1249C22×C4—1182no—
1250C22×C4—1182no—
1251C22×C4—1182no—
1252C22×C4—1182no—
1253C22×C4—1182no—
1254C22×C4—1182no—
1255C22×C4—1182no—
1256C22×C4—1182no—
1257C22×C4—1182no—
1258C22×C4—1182no—
1259C22×C4—1182no—
1260C22×C4—1182no—
1261C22×C4—2361no—
1262C22×C4—2361no—
1263C22×C4—2361no—
1264C22×C4—2361no—
1265C22×C4—2361no—
1266C22×C4—2361no—
1267C22×C4—2361no—
1268C22×C4—2361no—
1269C22×C4—2361no—
1270C22×C4—2361no—
1271C22×C4—2361no—
1272C22×C4—2361no—
1273C22×C4—23616no—
1274C22×C4—2361no—
1275C22×C4—2361no—
1276C22×C4—2361no—
1277C22×C4—2361no—
1278C22×C4C2×C4×D5914yescomplemented
1279C22×C4C23×D5911yescharacteristic
1280C22×C4C23×D5911yescharacteristic
1281C22×C4C23×D5911yescharacteristic
1282C22×C4C23×D5911yescharacteristic
1283C22×C4C23×D5911yescharacteristic
1284C22×C4C23×D5911yescharacteristic
1285C22×C4C23×D5911yescharacteristic
1286C22×C4C23×D5911yescharacteristic
1287C22×C4C23×D5911yescharacteristic
1288C22×C4C23×D5911yescharacteristic
1289C22×C4C23×D5911yescharacteristic
1290C22×C4C23×D5911yescharacteristic
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—594no—
1294C4⋊C4—594no—
1295C4⋊C4—594no—
1296C4⋊C4—594no—
1297C4⋊C4—594no—
1298C4⋊C4—1182no—
1299C4⋊C4—1182no—
1300C4⋊C4—1182no—
1301C4⋊C4—1182no—
1302C4⋊C4—2361no—
1303C4⋊C4—2361no—
1304C4⋊C4—2361no—
1305C4⋊C4—2361no—
1306C4⋊C4—2361no—
1307C4⋊C4—2361no—
1308C4⋊C4—2361no—
1309C4⋊C4—2361no—
1310C4⋊C4—2361no—
1311C4⋊C4—2361no—
1312C4⋊C4C2×C4×D5914yescomplemented
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—594no—
1324C22⋊C4—594no—
1325C22⋊C4—594no—
1326C22⋊C4—594no—
1327C22⋊C4—594no—
1328C22⋊C4—594no—
1329C22⋊C4—594no—
1330C22⋊C4—594no—
1331C22⋊C4—594no—
1332C22⋊C4—594no—
1333C22⋊C4—594no—
1334C22⋊C4—594no—
1335C22⋊C4—1182no—
1336C22⋊C4—1182no—
1337C22⋊C4—1182no—
1338C22⋊C4—1182no—
1339C22⋊C4—1182no—
1340C22⋊C4—1182no—
1341C22⋊C4—1182no—
1342C22⋊C4—1182no—
1343C22⋊C4—2361no—
1344C22⋊C4—2361no—
1345C22⋊C4—2361no—
1346C22⋊C4—2361no—
1347C22⋊C4—2361no—
1348C22⋊C4—2361no—
1349C22⋊C4—2361no—
1350C22⋊C4—2361no—
1351C22⋊C4—2361no—
1352C22⋊C4—2361no—
1353C22⋊C4C2×C4×D5914yes—
1354C22⋊C4C2×C4×D5914yescomplemented
1355C42—41no—
1356C42—41no—
1357C42—41no—
1358C42—41no—
1359C42—594no—
1360C42—594no—
1361C42—1182no—
1362C42—1182no—
1363C42—1182no—
1364C42—1182no—
1365C42—1182no—
1366C42—1182no—
1367C42—1182no—
1368C42—1182no—
1369C42—1182no—
1370C42—1182no—
1371C42—1182no—
1372C42—1182no—
1373C42—2361no—
1374C42—2361no—
1375C42—2361no—
1376C42—2361no—
1377C42—2361no—
1378C42—2361no—
1379C42—2361no—
1380C42—2361no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—592no—
1400C23—592no—
1401C23—592no—
1402C23—592no—
1403C23—1188no—
1404C23—1181no—
1405C23—1181no—
1406C23—1181no—
1407C23—1181no—
1408C23—1181no—
1409C23—1181no—
1410C23—1181no—
1411C23—1181no—
1412C23—1181no—
1413C23—1181no—
1414C23—2364no—
1415C23—2364no—
1416C23—2364no—
1417C23—2364no—
1418C23—2364no—
1419C23—2364no—
1420C23C22×C4×D5912yes—
1421C23C22×C4×D5912yes—
1422C23C22×C4×D5912yes—
1423C23C24×D5911yescharacteristic
1424Q8—2364no—
1425D4—44no—
1426D4—44no—
1427D4—44no—
1428D4—1188no—
1429D4—1188no—
1430D4—2364no—
1431D4—2364no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—592no—
1466C2×C4—592no—
1467C2×C4—592no—
1468C2×C4—592no—
1469C2×C4—592no—
1470C2×C4—592no—
1471C2×C4—592no—
1472C2×C4—592no—
1473C2×C4—592no—
1474C2×C4—592no—
1475C2×C4—1188no—
1476C2×C4—1181no—
1477C2×C4—1181no—
1478C2×C4—1181no—
1479C2×C4—1181no—
1480C2×C4—1181no—
1481C2×C4—1181no—
1482C2×C4—1181no—
1483C2×C4—1181no—
1484C2×C4—1181no—
1485C2×C4—1181no—
1486C2×C4—1181no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—1181no—
1490C2×C4—1181no—
1491C2×C4—1181no—
1492C2×C4—1181no—
1493C2×C4—1181no—
1494C2×C4—1181no—
1495C2×C4—1181no—
1496C2×C4—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—2364no—
1509C2×C4—2364no—
1510C2×C4—2364no—
1511C2×C4—2364no—
1512C2×C4—2364no—
1513C2×C4—2364no—
1514C2×C4—2364no—
1515C2×C4—2364no—
1516C2×C4—2364no—
1517C2×C4—2364no—
1518C2×C4—2364no—
1519C2×C4—2364no—
1520C2×C4C22×C4×D5912yes—
1521C2×C4C22×C4×D5912yes—
1522C2×C4C22×C4×D5912yes—
1523C2×C4C22×C4×D5912yes—
1524C2×C4#41×D5912yes—
1525C2×C4#41×D5912yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—594no—
1548C22—1182no—
1549C22—1182no—
1550C22—1182no—
1551C22—1182no—
1552C22—1182no—
1553C22—1182no—
1554C22—1182no—
1555C22—1182no—
1556C22—1182no—
1557C22—23616no—
1558C22—2361no—
1559C22—2361no—
1560C22—2361no—
1561C22—2361no—
1562C22C23×C4×D5911yescharacteristic
1563C22C2×#41×D5911yescharacteristic
1564C22C2×#41×D5911yescharacteristic
1565C22H(5,𝔽2)×D5911yescharacteristic
1566C22H(5,𝔽2)×D5911yescharacteristic
1567C22#1683823711yescharacteristic
1568C22#1683823711yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—594no—
1582C4—1182no—
1583C4—1182no—
1584C4—1182no—
1585C4—1182no—
1586C4—1182no—
1587C4—1182no—
1588C4—1182no—
1589C4—2361no—
1590C4—2361no—
1591C4—2361no—
1592C4—2361no—
1593C4—2361no—
1594C4—2361no—
1595C2—42no—
1596C2—42no—
1597C2—42no—
1598C2—1184no—
1599C2—2362no—
1600C2C4×#41×D5911yescharacteristic
1601C2#2143730011yescharacteristic
1602C2#2143730011yescharacteristic
1603C2#538×D5911yescharacteristic
1604C2#2143748011yescharacteristic
1605C2#2143750711yescharacteristic
1606C2#2143751111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutatorC22×C59C24×C4
FittingC59×#2333C2
socle, cosocleC23×C59C25
prime radicalC2×#16837984C2
hypercenter#2333D59
hypocenterC59C4×#538
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2333

Complements

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

NH ≅ G/Ntype
2. #21426905C2semidirect
3. #21426904C2semidirect
4. #21426887C2semidirect
5. #21426886C2semidirect
6. #21426874C2semidirect
7. #21426873C2semidirect
8. #21426855C2semidirect
9. #21426823C2semidirect
10. #21426798C2semidirect
11. #21426755C2semidirect
12. #21426752C2semidirect
13. #21426726C2semidirect
14. #21426725C2semidirect
15. #21426690C2semidirect
16. #21426650C2semidirect
17. #21426646C2semidirect
18. #21426643C2semidirect
19. #21426637C2semidirect
20. #21426630C2semidirect
21. #21426621C2semidirect
22. #21426613C2semidirect
23. #21426612C2semidirect
24. #121×Dic59C2semidirect
25. #21426606C2semidirect
26. #21426601C2semidirect
27. #21426601C2semidirect
28. C4×(C22⋊D59)⋊C4C2semidirect
29. C4×(C22⋊D59)⋊C4C2semidirect
30. C4×C22⋊C4×D59C2semidirect
31. C59×#2333C2semidirect
33. #16837984C4semidirect
45. C2×#14273692C22semidirect
48. C2×D4×Dic59C22semidirect
59. C22×C4×Dic59C22semidirect
60. C22×C4×Dic59C22semidirect
63. #16837308C22semidirect
64. #16837306C22semidirect
65. #16837306C22semidirect
69. #16837301C22semidirect
70. #16837300C22semidirect
71. #16837299C22semidirect
72. #16837299C22semidirect
76. #16837296C22semidirect
77. #16837296C22semidirect
78. #16837296C22semidirect
80. #16837295C22semidirect
92. #16837290C22semidirect
93. #16837290C22semidirect
94. #16837290C22semidirect
95. #16837289C22semidirect
96. #16837289C22semidirect
97. #16837289C22semidirect
98. #16837287C22semidirect
99. #16837286C22semidirect
100. #16837286C22semidirect
101. #16837285C22semidirect
102. #16837284C22semidirect
103. #16837284C22semidirect
104. #16837283C22semidirect
106. #16837282C22semidirect
122. #16837275C22semidirect
123. #16837274C22semidirect
125. #16837269C22semidirect
126. #16837269C22semidirect
127. #16837267C22semidirect
128. #16837266C22semidirect
129. #16837263C22semidirect
130. #16837262C22semidirect
132. #16837260C22semidirect
136. C4⋊C4×Dic59C22semidirect
137. C4⋊C4×Dic59C22semidirect
138. C4×Dic59⋊C4C22semidirect
139. C4×Dic59⋊C4C22semidirect
140. #16837253C22semidirect
141. #16837253C22semidirect
142. #16837253C22semidirect
143. #16837253C22semidirect
144. #16837253C22semidirect
145. #16837253C22semidirect
150. C22⋊C4×Dic59C22semidirect
151. C22⋊C4×Dic59C22semidirect
152. C22⋊C4×Dic59C22semidirect
153. C22⋊C4×Dic59C22semidirect
154. C22⋊C4×Dic59C22semidirect
155. C22⋊C4×Dic59C22semidirect
171. C42×Dic59C22semidirect
172. C42×Dic59C22semidirect
175. C59×#390C22semidirect
177. C59×#388C22semidirect
178. C59×#387C22semidirect
179. C59×#387C22semidirect
183. C59×#386C22semidirect
184. C59×#381C22semidirect
186. C4×C22⋊C4×C59C22semidirect
187. C4×C22⋊C4×C59C22semidirect
210. #14273722C2×C4semidirect
211. #14273720C2×C4semidirect
212. #14273714C2×C4semidirect
213. #14273713C2×C4semidirect
214. #14273710C2×C4semidirect
215. #14273708C2×C4semidirect
216. #14273705C2×C4semidirect
217. #14273699C2×C4semidirect
218. #14273698C2×C4semidirect
219. #14273695C2×C4semidirect
220. #14273695C2×C4semidirect
226. C4×C22⋊D59C2×C4semidirect
232. (C22⋊D59)⋊C4C2×C4semidirect
283. C22⋊C4×D59C2×C4semidirect
346. #121×C59C2×C4semidirect
396. C2×D4×C59C22×C4semidirect
405. C22×C4×C59C22×C4semidirect
444. C22×Dic59C22×C4semidirect
486. C2×Dic118C22×C4semidirect
489. C4⋊C4×C59C22×C4semidirect
501. C22⋊C4×C59C22×C4semidirect
517. C22⋊Dic59C22×C4semidirect
518. C22⋊Dic59C22×C4semidirect
519. C22⋊Dic59C22×C4semidirect
540. C4⋊Dic59C22×C4semidirect
551. Dic59⋊C4C22×C4semidirect
552. Dic59⋊C4C22×C4semidirect
553. Dic59⋊C4C22×C4semidirect
554. Dic59⋊C4C22×C4semidirect
575. C4×Dic59C22×C4semidirect
576. C4×Dic59C22×C4semidirect
791. Dic59#538semidirect
800. #2333D59semidirect
874. #390C2×D59semidirect
902. #388C2×D59semidirect
913. #387C2×D59semidirect
914. #387C2×D59semidirect
928. #386C2×D59semidirect
944. #381C2×D59semidirect
985. C4×C22⋊C4C2×D59semidirect
986. C4×C22⋊C4C2×D59semidirect
991. C59C4×#538semidirect
1029. #121C4×D59semidirect
1215. C2×D4C2×C4×D59semidirect
1278. C22×C4C2×C4×D59semidirect
1312. C4⋊C4C2×C4×D59semidirect
1354. C22⋊C4C2×C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168379842
#214269052
#214269042
#214268872
#214268862
#214268742
#214268732
#214268552
#214268232
#214267982
#214267552
#214267522
#214267262
#214267252
#214266902
#214266502
#214266462
#214266432
#214266372
#214266302
#214266212
#214266132
#214266122
#121×Dic592
#214266062
#214266012
C4×(C22⋊D59)⋊C42
C4×C22⋊C4×D592
C59×#23332
C4×#53859