Finite Group Databasebeta

← #28754037

Subgroups — #28754037

Order 15104.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838041C211yesmaximal, characteristic
2#21427258C211yesmaximal, characteristic, complemented
3#21427247C211yesmaximal, characteristic, complemented
4#21427241C211yesmaximal, characteristic, complemented
5#21427233C211yesmaximal, characteristic, complemented
6#21427204C211yesmaximal, characteristic, complemented
7#21427148C211yesmaximal, characteristic, complemented
8#21427135C211yesmaximal, characteristic, complemented
9#21427082C211yesmaximal, characteristic, complemented
10#21427073C211yesmaximal, characteristic, complemented
11#21427038C211yesmaximal, characteristic, complemented
12#21427030C211yesmaximal, characteristic, complemented
13#21426942C211yesmaximal, characteristic, complemented
14#21426939C211yesmaximal, characteristic, complemented
15#21426921C211yesmaximal, characteristic, complemented
16D4×(C2×D59)⋊C4C211yesmaximal, characteristic, complemented
17#21426907C211yesmaximal, characteristic, complemented
18#21426880C211yesmaximal, characteristic, complemented
19#21426859C211yesmaximal, characteristic, complemented
20#21426847C211yesmaximal, characteristic, complemented
21#21426794C211yesmaximal, characteristic, complemented
22#21426770C211yesmaximal, characteristic, complemented
23#21426759C211yesmaximal, characteristic, complemented
24#21426750C211yesmaximal, characteristic, complemented
25#21426737C211yesmaximal, characteristic, complemented
26#21426690C211yesmaximal, characteristic, complemented
27#21426683C211yesmaximal, characteristic, complemented
28#21426670C211yesmaximal, characteristic, complemented
29#21426539C211yesmaximal, characteristic, complemented
30C2×#16837293C211yesmaximal, characteristic, complemented
31C4×#121×C59C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34#16838041C4116yescomplemented
35C2×#14273713C2211yescharacteristic
36C2×#14273712C2211yescharacteristic
37C2×#14273708C2211yescharacteristic
38C2×#14273705C2211yescharacteristic
39C2×#14273700C2211yescharacteristic
40C2×#14273699C2211yescharacteristic
41C2×#14273695C2211yescharacteristic
42C2×#14273695C2211yescharacteristic
43C2×D4×Dic59C2211yescharacteristic
44C2×D4×Dic59C2211yescharacteristic, complemented
45C2×C4×C22⋊D59C2211yescharacteristic
46C2×C4×C22⋊D59C2211yescharacteristic, complemented
47C2×(C22⋊D59)⋊C4C2211yescharacteristic
48C2×#14273684C2211yescharacteristic, complemented
49C2×#14273683C2211yescharacteristic, complemented
50C22×Dic59⋊C4C2211yescharacteristic, complemented
51C22×(C2×D59)⋊C4C2211yescharacteristic
52C22×(C2×D59)⋊C4C2211yescharacteristic
53C22×(C2×D59)⋊C4C2211yescharacteristic
54C22×(C2×D59)⋊C4C2211yescharacteristic
55C2×C22⋊C4×D59C2211yescharacteristic
56C2×C22⋊C4×D59C2211yescharacteristic
57#16837308C2211yescharacteristic, complemented
58#16837307C2211yescharacteristic, complemented
59#16837306C2211yescharacteristic, complemented
60#16837306C2211yescharacteristic, complemented
61#16837304C2211yescharacteristic
62#16837303C2211yescharacteristic
63#16837302C2211yescharacteristic
64#16837302C2211yescharacteristic
65#16837302C2211yescharacteristic, complemented
66#16837302C2211yescharacteristic, complemented
67#16837302C2211yescharacteristic, complemented
68#16837299C2211yescharacteristic, complemented
69#16837299C2211yescharacteristic, complemented
70#16837297C2211yescharacteristic, complemented
71#16837296C2211yescharacteristic, complemented
72#16837295C2211yescharacteristic, complemented
73#16837295C2211yescharacteristic, complemented
74#16837294C2211yescharacteristic
75#16837294C2211yescharacteristic, complemented
76#16837293C2211yescharacteristic
77#16837293C2211yescharacteristic
78#16837293C2211yescharacteristic
79#16837293C2211yescharacteristic
80#16837293C2211yescharacteristic
81#16837293C2211yescharacteristic, complemented
82#16837293C2211yescharacteristic, complemented
83#16837293C2211yescharacteristic, complemented
84#16837293C2211yescharacteristic, complemented
85#16837293C2211yescharacteristic, complemented
86#16837293C2211yescharacteristic, complemented
87#16837292C2211yescharacteristic
88#16837292C2211yescharacteristic
89#16837292C2211yescharacteristic
90#16837292C2211yescharacteristic, complemented
91#16837292C2211yescharacteristic, complemented
92#16837291C2211yescharacteristic
93#16837291C2211yescharacteristic
94#16837291C2211yescharacteristic
95#16837291C2211yescharacteristic, complemented
96#16837290C2211yescharacteristic, complemented
97#16837290C2211yescharacteristic, complemented
98#16837290C2211yescharacteristic, complemented
99#16837288C2211yescharacteristic, complemented
100#16837288C2211yescharacteristic, complemented
101#16837286C2211yescharacteristic, complemented
102#16837286C2211yescharacteristic, complemented
103#16837286C2211yescharacteristic, complemented
104#16837284C2211yescharacteristic, complemented
105#16837284C2211yescharacteristic, complemented
106#16837283C2211yescharacteristic, complemented
107#16837283C2211yescharacteristic, complemented
108#16837283C2211yescharacteristic, complemented
109#16837282C2211yescharacteristic
110#16837282C2211yescharacteristic, complemented
111#16837282C2211yescharacteristic, complemented
112#16837282C2211yescharacteristic, complemented
113#16837281C2211yescharacteristic
114#16837281C2211yescharacteristic
115#16837281C2211yescharacteristic
116#16837281C2211yescharacteristic
117#16837281C2211yescharacteristic, complemented
118#16837280C2211yescharacteristic
119#16837280C2211yescharacteristic
120#16837279C2211yescharacteristic
121#16837279C2211yescharacteristic
122#16837279C2211yescharacteristic
123#16837279C2211yescharacteristic
124#16837279C2211yescharacteristic, complemented
125#16837279C2211yescharacteristic, complemented
126#16837278C2211yescharacteristic
127#16837278C2211yescharacteristic
128#16837278C2211yescharacteristic, complemented
129#16837275C2211yescharacteristic, complemented
130#16837275C2211yescharacteristic, complemented
131#16837275C2211yescharacteristic, complemented
132#16837274C2211yescharacteristic, complemented
133#16837274C2211yescharacteristic, complemented
134#16837273C2211yescharacteristic, complemented
135#16837273C2211yescharacteristic, complemented
136#16837273C2211yescharacteristic, complemented
137#16837269C2211yescharacteristic, complemented
138#16837264C2211yescharacteristic
139#16837264C2211yescharacteristic
140#16837264C2211yescharacteristic, complemented
141#16837263C2211yescharacteristic, complemented
142#16837263C2211yescharacteristic, complemented
143#16837261C2211yescharacteristic, complemented
144#16837261C2211yescharacteristic, complemented
145#16837260C2211yescharacteristic, complemented
146#16837260C2211yescharacteristic, complemented
147#16837259C2211yescharacteristic
148#16837259C2211yescharacteristic, complemented
149#16837257C2211yescharacteristic
150#16837257C2211yescharacteristic
151#16837257C2211yescharacteristic
152#16837257C2211yescharacteristic
153C4×Dic59⋊C4C2211yescharacteristic, complemented
154C4×Dic59⋊C4C2211yescharacteristic, complemented
155C22⋊C4×Dic59C2211yescharacteristic, complemented
156C22⋊C4×Dic59C2211yescharacteristic, complemented
157C22⋊C4×Dic59C2211yescharacteristic, complemented
158C22⋊C4×Dic59C2211yescharacteristic, complemented
159C4×(C2×D59)⋊C4C2211yescharacteristic
160C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
163C4×C22⋊Dic59C2211yescharacteristic, complemented
164C4×C22⋊Dic59C2211yescharacteristic, complemented
165#16837249C2211yescharacteristic, complemented
166#16837249C2211yescharacteristic, complemented
167#16837249C2211yescharacteristic, complemented
168#16837248C2211yescharacteristic, complemented
169#16837247C2211yescharacteristic, complemented
170C2×C59⋊#95C2211yescharacteristic, complemented
171C2×C59⋊#95C2211yescharacteristic, complemented
172C2×C59⋊#95C2211yescharacteristic, complemented
173C2×#121×C59C2211yescharacteristic
174C2×C4×D4×C59C2211yescharacteristic
175C2×C4×D4×C59C2211yescharacteristic, complemented
176C2×C4×D4×C59C2211yescharacteristic, complemented
177C22×C42×C59C2211yescharacteristic, complemented
178C59×#390C2211yescharacteristic, complemented
179C59×#389C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic, complemented
184C59×#380C2211yescharacteristic, complemented
185C4×C4⋊C4×C59C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C4×C22⋊C4×C59C2211yescharacteristic, complemented
188C24×D59C2311yescharacteristic
189C24×D59C2311yescharacteristic
190C2×#11745687—42no—
191C2×#11745687—42no—
192C2×#11745687C2×C418yescomplemented
193C22×Dic118C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C2×D4×D59—42no—
201C2×D4×D59—42no—
202C2×D4×D59C2×C418yescomplemented
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214#14273713C2×C418yescomplemented
215#14273712C2×C418yescomplemented
216#14273708C2×C418yescomplemented
217#14273705C2×C418yescomplemented
218#14273700C2×C418yescomplemented
219#14273699C2×C418yescomplemented
220#14273695C2×C418yescomplemented
221#14273695C2×C418yescomplemented
222D4×Dic59—42no—
223D4×Dic59—42no—
224C4×C22⋊D59—42no—
225C4×C22⋊D59C2×C418yescomplemented
226(C22⋊D59)⋊C4C2×C418yescomplemented
227#14273684—42no—
228#14273683—42no—
229C2×C4⋊Dic59C2311yescharacteristic
230C2×C4⋊Dic59C2311yescharacteristic
231C2×Dic59⋊C4—42no—
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×(C2×D59)⋊C4—42no—
257C2×(C2×D59)⋊C4—42no—
258C2×(C2×D59)⋊C4—42no—
259C2×(C2×D59)⋊C4C2×C418yescomplemented
260C2×(C2×D59)⋊C4C2311yescharacteristic
261C2×(C2×D59)⋊C4C2311yescharacteristic
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
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
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C22⋊C4×D59—42no—
290C22⋊C4×D59C2×C418yescomplemented
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
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
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
336C22×D4×C59C2311yescharacteristic
337C22×D4×C59C2311yescharacteristic
338C22×D4×C59C2311yescharacteristic
339C23×C4×C59C2311yescharacteristic
340C23×C4×C59C2311yescharacteristic
341C23×C4×C59C2311yescharacteristic
342C23×C4×C59C2311yescharacteristic
343C23×C4×C59C2311yescharacteristic
344#121×C59C2×C418yescomplemented
345C4×D4×C59—42no—
346C4×D4×C59—42no—
347C4×D4×C59—42no—
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C4⋊C4×C59C2311yescharacteristic
350C2×C4⋊C4×C59C2311yescharacteristic
351C2×C4⋊C4×C59C2311yescharacteristic
352C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
363C2×C42×C59—42no—
364C2×C42×C59C2311yescharacteristic
365C2×C42×C59C2311yescharacteristic
366C2×C42×C59C2311yescharacteristic
367C2×C42×C59C2311yescharacteristic
368C2×C42×C59C2311yescharacteristic
369C2×C42×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×D59—41no—
386C23×D59—41no—
387C23×D59—41no—
388C23×D59—41no—
389C23×D59—41no—
390C23×D59—41no—
391C23×D59C22×C414yes—
392C23×D59C22×C414yes—
393C23×D59C2411yescharacteristic
394C23×D59C2411yescharacteristic
395C23×D59C2411yescharacteristic
396C2×D4×C59—22no—
397C2×D4×C59—22no—
398C2×D4×C59—22no—
399C2×D4×C59—22no—
400C2×D4×C59—41no—
401C2×D4×C59—41no—
402C2×D4×C59C22×C414yes—
403C2×D4×C59C22×C414yes—
404C2×D4×C59C22×C414yes—
405C22×C4×C59—22no—
406C22×C4×C59—22no—
407C22×C4×C59—22no—
408C22×C4×C59—22no—
409C22×C4×C59—22no—
410C22×C4×C59—41no—
411C22×C4×C59—41no—
412C22×C4×C59—41no—
413C22×C4×C59—41no—
414C22×C4×C59—41no—
415C22×C4×C59—41no—
416C22×C4×C59—41no—
417C22×C4×C59—41no—
418C22×C4×C59—41no—
419C22×C4×C59C22×C414yes—
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C2×C22⋊D59—22no—
433C2×C22⋊D59—22no—
434C2×C22⋊D59—41no—
435C2×C22⋊D59—41no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59—41no—
438C2×C22⋊D59—41no—
439C2×C22⋊D59—41no—
440C2×C22⋊D59—41no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59C22×C414yes—
443C2×C22⋊D59C22×C414yes—
444C2×C22⋊D59C22×C414yes—
445C2×C22⋊D59C22×C414yes—
446C2×C22⋊D59C22×C414yes—
447C22×Dic59—22no—
448C22×Dic59—22no—
449C22×Dic59—22no—
450C22×Dic59—22no—
451C22×Dic59—41no—
452C22×Dic59—41no—
453C22×Dic59—41no—
454C22×Dic59—41no—
455C22×Dic59—41no—
456C22×Dic59—41no—
457C22×Dic59—41no—
458C22×Dic59—41no—
459C22×Dic59—41no—
460C22×Dic59—41no—
461C22×Dic59—41no—
462C22×Dic59—41no—
463C22×Dic59C22×C414yes—
464C22×Dic59C22×C414yes—
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478#11745687—416no—
479D4×D59—416no—
480C2×D236—41no—
481C2×D236—41no—
482C2×D236C22×C414yes—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×C4×D59—41no—
486C2×C4×D59—41no—
487C2×C4×D59—41no—
488C2×C4×D59—41no—
489C2×C4×D59—41no—
490C2×C4×D59—41no—
491C2×C4×D59—41no—
492C2×C4×D59—41no—
493C2×C4×D59—41no—
494C2×C4×D59—41no—
495C2×C4×D59C22×C414yes—
496C2×C4×D59C22×C414yes—
497C2×C4×D59C22×C414yes—
498C2×Dic118—41no—
499C2×Dic118—41no—
500C2×Dic118C22×C414yes—
501C4⋊C4×C59—41no—
502C4⋊C4×C59—41no—
503C4⋊C4×C59—41no—
504C4⋊C4×C59—41no—
505C4⋊C4×C59C22×C414yes—
506C22⋊C4×C59—22no—
507C22⋊C4×C59—22no—
508C22⋊C4×C59—41no—
509C22⋊C4×C59—41no—
510C22⋊C4×C59—41no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59—41no—
513C22⋊C4×C59—41no—
514C22⋊C4×C59C22×C414yes—
515C22⋊C4×C59C22×C414yes—
516C42×C59—22no—
517C42×C59—22no—
518C42×C59—41no—
519C42×C59—41no—
520C42×C59—41no—
521C42×C59—41no—
522C22⋊Dic59—22no—
523C22⋊Dic59—22no—
524C22⋊Dic59—41no—
525C22⋊Dic59—41no—
526C22⋊Dic59—41no—
527C22⋊Dic59—41no—
528C22⋊Dic59—41no—
529C22⋊Dic59—41no—
530C22⋊Dic59C22×C414yes—
531C22⋊Dic59C22×C414yes—
532C22⋊Dic59C22×C414yes—
533(C2×D59)⋊C4—22no—
534(C2×D59)⋊C4—22no—
535(C2×D59)⋊C4—22no—
536(C2×D59)⋊C4—41no—
537(C2×D59)⋊C4—41no—
538(C2×D59)⋊C4—41no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545(C2×D59)⋊C4—41no—
546(C2×D59)⋊C4—41no—
547(C2×D59)⋊C4—41no—
548(C2×D59)⋊C4—41no—
549(C2×D59)⋊C4—41no—
550(C2×D59)⋊C4—41no—
551(C2×D59)⋊C4—41no—
552(C2×D59)⋊C4—41no—
553(C2×D59)⋊C4—41no—
554(C2×D59)⋊C4—41no—
555(C2×D59)⋊C4C22×C414yes—
556(C2×D59)⋊C4C22×C414yes—
557(C2×D59)⋊C4C22×C414yes—
558(C2×D59)⋊C4C22×C414yes—
559(C2×D59)⋊C4C22×C414yes—
560(C2×D59)⋊C4C22×C414yes—
561(C2×D59)⋊C4C22×C414yes—
562C4⋊Dic59—41no—
563C4⋊Dic59—41no—
564Dic59⋊C4—22no—
565Dic59⋊C4—41no—
566Dic59⋊C4—41no—
567Dic59⋊C4—41no—
568Dic59⋊C4—41no—
569Dic59⋊C4—41no—
570Dic59⋊C4—41no—
571Dic59⋊C4—41no—
572Dic59⋊C4—41no—
573Dic59⋊C4—41no—
574Dic59⋊C4C22×C414yes—
575Dic59⋊C4C22×C414yes—
576Dic59⋊C4C22×C414yes—
577C4×Dic59—41no—
578C4×Dic59—41no—
579C4×Dic59—41no—
580C4×Dic59—41no—
581C4×Dic59—41no—
582C4×Dic59—41no—
583C4×Dic59—41no—
584C4×Dic59—41no—
585C4×Dic59—41no—
586C4×Dic59—41no—
587C4×Dic59C22×C414yes—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59C23×C412yes—
605C23×C59C23×C412yes—
606C23×C59C23×C412yes—
607C23×C59H(5,𝔽2)12yes—
608C23×C59H(5,𝔽2)12yes—
609C23×C59C2511yescharacteristic
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—28no—
629C22×D59—44no—
630C22×D59—44no—
631C22×D59—44no—
632C22×D59—44no—
633C22×D59—44no—
634C22×D59—82no—
635C22×D59—82no—
636C22×D59—82no—
637C22×D59—82no—
638C22×D59—82no—
639C22×D59—82no—
640C22×D59—82no—
641C22×D59—82no—
642C22×D59C23×C412yes—
643C22×D59C23×C412yes—
644C22×D59C23×C412yes—
645D4×C59—28no—
646D4×C59—28no—
647D4×C59—44no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—44no—
680C2×C4×C59—44no—
681C2×C4×C59—44no—
682C2×C4×C59—82no—
683C2×C4×C59—82no—
684C2×C4×C59C23×C412yes—
685C2×C4×C59C23×C412yes—
686C2×C4×C59C23×C412yes—
687C2×C4×C59C23×C412yes—
688C2×C4×C59H(5,𝔽2)12yes—
689C22⋊D59—28no—
690C22⋊D59—44no—
691C22⋊D59—44no—
692C22⋊D59—44no—
693C22⋊D59—44no—
694C2×Dic59—28no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—44no—
730C2×Dic59—82no—
731C2×Dic59—82no—
732C2×Dic59—82no—
733C2×Dic59—82no—
734C2×Dic59C23×C412yes—
735C2×Dic59C23×C412yes—
736C2×Dic59C23×C412yes—
737C2×Dic59C23×C412yes—
738C2×Dic59C23×C412yes—
739D236—44no—
740C4×D59—44no—
741C4×D59—44no—
742C4×D59—44no—
743C4×D59—82no—
744C4×D59—82no—
745Dic118—44no—
746#34492—591nomaximal, Sylow
747C22×C59—22no—
748C22×C59—22no—
749C22×C59—22no—
750C22×C59—22no—
751C22×C59—22no—
752C22×C59—22no—
753C22×C59—22no—
754C22×C59—22no—
755C22×C59—22no—
756C22×C59—22no—
757C22×C59—22no—
758C22×C59—22no—
759C22×C59—41no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—41no—
767C22×C59#51814yes—
768C22×C59C24×C411yescharacteristic
769C22×C59C2×H(5,𝔽2)11yescharacteristic
770C22×C59C2×H(5,𝔽2)11yescharacteristic
771C22×C59C2×H(5,𝔽2)11yescharacteristic
772C22×C59#58511yescharacteristic
773C22×C59#58511yescharacteristic
774C22×C59#58511yescharacteristic
775C2×D59—22no—
776C2×D59—22no—
777C2×D59—22no—
778C2×D59—22no—
779C2×D59—22no—
780C2×D59—22no—
781C2×D59—22no—
782C2×D59—22no—
783C2×D59—22no—
784C2×D59—41no—
785C2×D59—41no—
786C2×D59—41no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—88no—
797C2×D59—88no—
798C4×C59—22no—
799C4×C59—22no—
800C4×C59—22no—
801C4×C59—22no—
802C4×C59—22no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810Dic59—22no—
811Dic59—22no—
812Dic59—22no—
813Dic59—22no—
814Dic59—22no—
815Dic59—41no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823C2×#546—591no—
824#2378—591no—
825#2377—591no—
826#2376—591no—
827#2375—591no—
828#2372—591no—
829#2364—591no—
830#2363—591no—
831#2359—591no—
832#2358—591no—
833#2353—591no—
834#2353—591no—
835#2342—591no—
836#2342—591no—
837#2339—591no—
838D4×C22⋊C4—591no—
839#2337—591no—
840#2335—591no—
841#2333—591no—
842#2332—591no—
843#2325—591no—
844#2322—591no—
845#2321—591no—
846#2321—591no—
847#2319—591no—
848#2312—591no—
849#2311—591no—
850#2308—591no—
851C4×#121D5911yescharacteristic, complemented
852#2290—591no—
853C2×#388—591no—
854C2×C59—24no—
855C2×C59—42no—
856C2×C59—42no—
857C2×C59C2×#51811yescharacteristic
858C2×C59#342811yescharacteristic
859C2×C59C4×H(5,𝔽2)11yescharacteristic
860C2×C59#353411yescharacteristic
861C2×C59#354211yescharacteristic
862C2×C59#354511yescharacteristic
863C2×C59#356011yescharacteristic
864D59—42no—
865D59—42no—
866D59—42no—
867C22×#41—591no—
868C23×D4—591no—
869#546—5916no—
870C2×#124—591no—
871C2×#123—591no—
872C2×#123—591no—
873C2×C22⋊Q8—591no—
874C2×#121—591no—
875C2×#121—591no—
876C2×#121C2×D5911yescharacteristic
877C2×#120—591no—
878C2×#120—591no—
879C2×C4×D4—591no—
880C2×C4×D4—591no—
881C2×C4×D4—591no—
882C2×C4×D4—591no—
883C2×C4×D4—591no—
884C2×C4×D4C2×D5911yescharacteristic
885C2×C4×D4C2×D5911yescharacteristic, complemented
886C2×C4×D4C2×D5911yescharacteristic, complemented
887C2×#117—591no—
888C2×#117—591no—
889C22×C4⋊C4—591no—
890C22×C22⋊C4—591no—
891C22×C22⋊C4—591no—
892C22×C22⋊C4—591no—
893C22×C22⋊C4—591no—
894C22×C22⋊C4—591no—
895C22×C22⋊C4—591no—
896C22×C42C2×D5911yescharacteristic, complemented
897#391—591no—
898#391—591no—
899#391—591no—
900#391—591no—
901#390—591no—
902#390—591no—
903#390—591no—
904#390—591no—
905#390—591no—
906#390—591no—
907#390—591no—
908#390C2×D5911yescharacteristic, complemented
909#389—591no—
910#389—591no—
911#389—591no—
912#389C2×D5911yescharacteristic, complemented
913#388—591no—
914#388—591no—
915#388—591no—
916#388—591no—
917#388—591no—
918#388—591no—
919#388—591no—
920#388—591no—
921#388—591no—
922#388—591no—
923#388—591no—
924#388—591no—
925#388—591no—
926#388—591no—
927#388—591no—
928#388—591no—
929#388—591no—
930#388—591no—
931#388—591no—
932#388—591no—
933#388—591no—
934#388—591no—
935#388—591no—
936#388—591no—
937#388—591no—
938#388—591no—
939#388—591no—
940#388—591no—
941#388C2×D5911yescharacteristic, complemented
942#388C2×D5911yescharacteristic, complemented
943#387—591no—
944#387—591no—
945#387—591no—
946#387—591no—
947#387—591no—
948#387—591no—
949#387—591no—
950#387—591no—
951#387—591no—
952#387—591no—
953#386—591no—
954#386—591no—
955#386—591no—
956#386—591no—
957#386—591no—
958#386—591no—
959#386—591no—
960#386—591no—
961#386—591no—
962#386—591no—
963#386—591no—
964#386—591no—
965#386—591no—
966#386—591no—
967#386—591no—
968#386—591no—
969#386—591no—
970#386—591no—
971#386—591no—
972#386—591no—
973#386C2×D5911yescharacteristic
974#386C2×D5911yescharacteristic, complemented
975#385—591no—
976#385—591no—
977#385—591no—
978#385—591no—
979#385—591no—
980#385—591no—
981#385—591no—
982#385—591no—
983#383—591no—
984#381—591no—
985#381—591no—
986#381—591no—
987#381—591no—
988#381—591no—
989#380—591no—
990#380—591no—
991#380—591no—
992#380—591no—
993#380—591no—
994#380—591no—
995#380C2×D5911yescharacteristic, complemented
996#379—591no—
997#379—591no—
998#379—591no—
999#379—591no—
1000C4×C4⋊C4—591no—
1001C4×C4⋊C4—591no—
1002C4×C4⋊C4C2×D5911yescharacteristic, complemented
1003C4×C22⋊C4—591no—
1004C4×C22⋊C4—591no—
1005C4×C22⋊C4—591no—
1006C4×C22⋊C4—591no—
1007C4×C22⋊C4—591no—
1008C4×C22⋊C4—591no—
1009C4×C22⋊C4—591no—
1010C4×C22⋊C4—591no—
1011C4×C22⋊C4—591no—
1012C4×C22⋊C4—591no—
1013C4×C22⋊C4—591no—
1014C4×C22⋊C4—591no—
1015C4×C22⋊C4—591no—
1016C4×C22⋊C4C2×D5911yescharacteristic, complemented
1017C4×C22⋊C4C2×D5911yescharacteristic, complemented
1018#376—591no—
1019#376—591no—
1020C2×#95—591no—
1021C2×#95—591no—
1022C2×#95—591no—
1023C59#3449211yescharacteristic, complemented, Sylow
1024C25—591no—
1025C25—591no—
1026C2×#41—598no—
1027C2×#41—2362no—
1028C2×#41—2362no—
1029C22×Q8—591no—
1030C22×D4—591no—
1031C22×D4—591no—
1032C22×D4—591no—
1033C22×D4—591no—
1034C22×D4—591no—
1035C22×D4—598no—
1036C22×D4—591no—
1037C22×D4—2362no—
1038C22×D4—2362no—
1039C22×D4C22×D5911yescharacteristic
1040C22×D4C22×D5911yescharacteristic
1041C22×D4C22×D5911yescharacteristic
1042C23×C4—591no—
1043C23×C4—591no—
1044C23×C4—591no—
1045C23×C4—591no—
1046C23×C4—591no—
1047C23×C4—591no—
1048C23×C4—591no—
1049C23×C4—591no—
1050C23×C4—591no—
1051C23×C4—591no—
1052C23×C4—591no—
1053C23×C4C22×D5911yescharacteristic
1054C23×C4C22×D5911yescharacteristic
1055C23×C4C22×D5911yescharacteristic
1056C23×C4C22×D5911yescharacteristic
1057C23×C4C22×D5911yescharacteristic
1058#124—598no—
1059#123—598no—
1060#123—598no—
1061C22⋊Q8—598no—
1062#121—598no—
1063#121—598no—
1064#121C4×D5918yescomplemented
1065#120—598no—
1066#120—598no—
1067C4×D4—42no—
1068C4×D4—42no—
1069C4×D4—42no—
1070C4×D4—598no—
1071C4×D4—598no—
1072C4×D4—2362no—
1073C4×D4—2362no—
1074C4×D4—2362no—
1075#117—2362no—
1076#117—2362no—
1077C2×C4⋊C4—591no—
1078C2×C4⋊C4—591no—
1079C2×C4⋊C4—591no—
1080C2×C4⋊C4—591no—
1081C2×C4⋊C4—591no—
1082C2×C4⋊C4—591no—
1083C2×C4⋊C4—591no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4—591no—
1090C2×C4⋊C4—591no—
1091C2×C4⋊C4—591no—
1092C2×C4⋊C4—2362no—
1093C2×C4⋊C4C22×D5911yescharacteristic
1094C2×C4⋊C4C22×D5911yescharacteristic
1095C2×C4⋊C4C22×D5911yescharacteristic
1096C2×C4⋊C4C22×D5911yescharacteristic
1097C2×C4⋊C4C22×D5911yescharacteristic
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—598no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—598no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—2362no—
1141C2×C22⋊C4—2362no—
1142C2×C22⋊C4—2362no—
1143C2×C22⋊C4—2362no—
1144C2×C22⋊C4C22×D5911yescharacteristic
1145C2×C22⋊C4C22×D5911yescharacteristic
1146C2×C22⋊C4C22×D5911yescharacteristic
1147C2×C22⋊C4C22×D5911yescharacteristic
1148C2×C22⋊C4C22×D5911yescharacteristic
1149C2×C22⋊C4C22×D5911yescharacteristic
1150C2×C22⋊C4C22×D5911yescharacteristic
1151C2×C22⋊C4C22×D5911yescharacteristic
1152C2×C22⋊C4C22×D5911yescharacteristic
1153C2×C22⋊C4C22×D5911yescharacteristic
1154C2×C42—42no—
1155C2×C42—591no—
1156C2×C42—591no—
1157C2×C42—591no—
1158C2×C42—591no—
1159C2×C42—591no—
1160C2×C42—591no—
1161C2×C42—591no—
1162C2×C42—591no—
1163C2×C42—591no—
1164C2×C42—591no—
1165C2×C42—591no—
1166C2×C42C22×D5911yescharacteristic
1167C2×C42C22×D5911yescharacteristic
1168C2×C42C22×D5911yescharacteristic
1169C2×C42C22×D5911yescharacteristic
1170C2×C42C22×D5911yescharacteristic
1171C2×C42C22×D5911yescharacteristic
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95—591no—
1181#95—591no—
1182#95—591no—
1183#95—591no—
1184#95—591no—
1185#95—591no—
1186#95—591no—
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95—591no—
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95C22×D5911yescharacteristic
1207#95C22×D5911yescharacteristic
1208#95C22×D5911yescharacteristic
1209#95C22×D5911yescharacteristic
1210#95C22×D5911yescharacteristic
1211#95C22×D5911yescharacteristic
1212C24—591no—
1213C24—591no—
1214C24—591no—
1215C24—594no—
1216C24—594no—
1217C24—1182no—
1218C24—1182no—
1219C24—2361no—
1220C24—2361no—
1221C24—2361no—
1222C24—2361no—
1223C24—2361no—
1224C24—2361no—
1225C24—2361no—
1226C24—2361no—
1227C24—2361no—
1228C24—2361no—
1229C24C23×D5911yescharacteristic
1230C24C23×D5911yescharacteristic
1231C24C23×D5911yescharacteristic
1232#41—23616no—
1233C2×Q8—594no—
1234C2×Q8—2361no—
1235C2×Q8—2361no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—594no—
1243C2×D4—594no—
1244C2×D4—594no—
1245C2×D4—594no—
1246C2×D4—594no—
1247C2×D4—594no—
1248C2×D4—1182no—
1249C2×D4—1182no—
1250C2×D4—2361no—
1251C2×D4—2361no—
1252C2×D4—2361no—
1253C2×D4—2361no—
1254C2×D4—2361no—
1255C2×D4—2361no—
1256C2×D4—2361no—
1257C2×D4—2361no—
1258C2×D4—2361no—
1259C2×D4—2361no—
1260C2×D4—23616no—
1261C2×D4C2×C4×D5914yes—
1262C2×D4C2×C4×D5914yes—
1263C2×D4C2×C4×D5914yes—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—594no—
1279C22×C4—591no—
1280C22×C4—591no—
1281C22×C4—591no—
1282C22×C4—591no—
1283C22×C4—591no—
1284C22×C4—594no—
1285C22×C4—594no—
1286C22×C4—594no—
1287C22×C4—594no—
1288C22×C4—591no—
1289C22×C4—591no—
1290C22×C4—591no—
1291C22×C4—591no—
1292C22×C4—591no—
1293C22×C4—591no—
1294C22×C4—591no—
1295C22×C4—591no—
1296C22×C4—1182no—
1297C22×C4—1182no—
1298C22×C4—1182no—
1299C22×C4—1182no—
1300C22×C4—2361no—
1301C22×C4—2361no—
1302C22×C4—2361no—
1303C22×C4—2361no—
1304C22×C4—2361no—
1305C22×C4—2361no—
1306C22×C4—2361no—
1307C22×C4—2361no—
1308C22×C4—2361no—
1309C22×C4—2361no—
1310C22×C4—2361no—
1311C22×C4—2361no—
1312C22×C4—2361no—
1313C22×C4—2361no—
1314C22×C4—2361no—
1315C22×C4—2361no—
1316C22×C4—2361no—
1317C22×C4—2361no—
1318C22×C4—2361no—
1319C22×C4—2361no—
1320C22×C4—2361no—
1321C22×C4—2361no—
1322C22×C4—2361no—
1323C22×C4—2361no—
1324C22×C4C2×C4×D5914yes—
1325C22×C4C23×D5911yescharacteristic
1326C22×C4C23×D5911yescharacteristic
1327C22×C4C23×D5911yescharacteristic
1328C22×C4C23×D5911yescharacteristic
1329C22×C4C23×D5911yescharacteristic
1330C22×C4C23×D5911yescharacteristic
1331C22×C4C23×D5911yescharacteristic
1332C22×C4C23×D5911yescharacteristic
1333C22×C4C23×D5911yescharacteristic
1334C22×C4C23×D5911yescharacteristic
1335C22×C4C23×D5911yescharacteristic
1336C22×C4C23×D5911yescharacteristic
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—594no—
1342C4⋊C4—594no—
1343C4⋊C4—594no—
1344C4⋊C4—1182no—
1345C4⋊C4—2361no—
1346C4⋊C4—2361no—
1347C4⋊C4—2361no—
1348C4⋊C4—2361no—
1349C4⋊C4—2361no—
1350C4⋊C4—2361no—
1351C4⋊C4—2361no—
1352C4⋊C4—2361no—
1353C4⋊C4—2361no—
1354C4⋊C4—2361no—
1355C4⋊C4—2361no—
1356C4⋊C4C2×C4×D5914yes—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—594no—
1366C22⋊C4—594no—
1367C22⋊C4—594no—
1368C22⋊C4—594no—
1369C22⋊C4—594no—
1370C22⋊C4—594no—
1371C22⋊C4—594no—
1372C22⋊C4—594no—
1373C22⋊C4—594no—
1374C22⋊C4—594no—
1375C22⋊C4—1182no—
1376C22⋊C4—1182no—
1377C22⋊C4—1182no—
1378C22⋊C4—1182no—
1379C22⋊C4—1182no—
1380C22⋊C4—2361no—
1381C22⋊C4—2361no—
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—2361no—
1399C22⋊C4—2361no—
1400C22⋊C4—2361no—
1401C22⋊C4—2361no—
1402C22⋊C4—2361no—
1403C22⋊C4—2361no—
1404C22⋊C4—2361no—
1405C22⋊C4C2×C4×D5914yes—
1406C22⋊C4C2×C4×D5914yes—
1407C42—22no—
1408C42—22no—
1409C42—41no—
1410C42—41no—
1411C42—41no—
1412C42—41no—
1413C42—594no—
1414C42—2361no—
1415C42—2361no—
1416C42—2361no—
1417C42—2361no—
1418C42—2361no—
1419C42—2361no—
1420C42—2361no—
1421C42—2361no—
1422C42—2361no—
1423C42—2361no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—592no—
1441C23—592no—
1442C23—592no—
1443C23—1188no—
1444C23—1181no—
1445C23—1181no—
1446C23—1181no—
1447C23—1181no—
1448C23—1181no—
1449C23—1181no—
1450C23—1181no—
1451C23—1181no—
1452C23—1181no—
1453C23—1181no—
1454C23—1181no—
1455C23—1181no—
1456C23—1181no—
1457C23—1181no—
1458C23—1181no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—4722no—
1463C23—4722no—
1464C23—4722no—
1465C23—4722no—
1466C23—4722no—
1467C23—4722no—
1468C23—4722no—
1469C23—4722no—
1470C23—2364no—
1471C23—2364no—
1472C23—2364no—
1473C23—2364no—
1474C23—2364no—
1475C23C22×C4×D5912yes—
1476C23C22×C4×D5912yes—
1477C23C22×C4×D5912yes—
1478C23#1427377212yes—
1479C23#1427377312yes—
1480C23C24×D5911yescharacteristic
1481Q8—2364no—
1482D4—28no—
1483D4—28no—
1484D4—44no—
1485D4—1188no—
1486D4—2364no—
1487D4—2364no—
1488D4—2364no—
1489D4—2364no—
1490D4—2364no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—592no—
1528C2×C4—592no—
1529C2×C4—592no—
1530C2×C4—592no—
1531C2×C4—592no—
1532C2×C4—1181no—
1533C2×C4—1181no—
1534C2×C4—1181no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
1542C2×C4—1188no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—1181no—
1565C2×C4—1181no—
1566C2×C4—1181no—
1567C2×C4—4722no—
1568C2×C4—4722no—
1569C2×C4—4722no—
1570C2×C4—4722no—
1571C2×C4—4722no—
1572C2×C4—4722no—
1573C2×C4—2364no—
1574C2×C4—2364no—
1575C2×C4—2364no—
1576C2×C4—2364no—
1577C2×C4C22×C4×D5912yes—
1578C2×C4C22×C4×D5912yes—
1579C2×C4C22×C4×D5912yes—
1580C2×C4C22×C4×D5912yes—
1581C2×C4#1427377212yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—1182no—
1603C22—1182no—
1604C22—1182no—
1605C22—1182no—
1606C22—1182no—
1607C22—1182no—
1608C22—1182no—
1609C22—1182no—
1610C22—1182no—
1611C22—4728no—
1612C22—4728no—
1613C22—2361no—
1614C22—2361no—
1615C22—2361no—
1616C22—2361no—
1617C22—2361no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22—2361no—
1622C22—2361no—
1623C22—2361no—
1624C22—2361no—
1625C22#1683787414yes—
1626C22C23×C4×D5911yescharacteristic
1627C22C2×#1427377211yescharacteristic
1628C22C2×#1427377211yescharacteristic
1629C22C2×#1427377311yescharacteristic
1630C22#1683823811yescharacteristic
1631C22#1683823811yescharacteristic
1632C22#1683823811yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—1182no—
1646C4—1182no—
1647C4—1182no—
1648C4—1182no—
1649C4—1182no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C4—2361no—
1656C4—2361no—
1657C4—2361no—
1658C2—24no—
1659C2—42no—
1660C2—42no—
1661C2—2362no—
1662C2—2362no—
1663C2—2362no—
1664C2C2×#1683787411yescharacteristic
1665C2#2143729511yescharacteristic
1666C2C4×#1427377211yescharacteristic
1667C2#2143828611yescharacteristic
1668C2#2143841211yescharacteristic
1669C2#2143844811yescharacteristic
1670C2#2143865211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutatorC22×C59C24×C4
FittingC4×#121×C59C2
socle, cosocleC23×C59C25
prime radicalC2×#16838041C2
hypercenterC4×#121D59
hypocenterC59#34492
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
2. #21427258C2semidirect
3. #21427247C2semidirect
4. #21427241C2semidirect
5. #21427233C2semidirect
6. #21427204C2semidirect
7. #21427148C2semidirect
8. #21427135C2semidirect
9. #21427082C2semidirect
10. #21427073C2semidirect
11. #21427038C2semidirect
12. #21427030C2semidirect
13. #21426942C2semidirect
14. #21426939C2semidirect
15. #21426921C2semidirect
16. D4×(C2×D59)⋊C4C2semidirect
17. #21426907C2semidirect
18. #21426880C2semidirect
19. #21426859C2semidirect
20. #21426847C2semidirect
21. #21426794C2semidirect
22. #21426770C2semidirect
23. #21426759C2semidirect
24. #21426750C2semidirect
25. #21426737C2semidirect
26. #21426690C2semidirect
27. #21426683C2semidirect
28. #21426670C2semidirect
29. #21426539C2semidirect
30. C2×#16837293C2semidirect
31. C4×#121×C59C2semidirect
34. #16838041C4semidirect
44. C2×D4×Dic59C22semidirect
46. C2×C4×C22⋊D59C22semidirect
48. C2×#14273684C22semidirect
49. C2×#14273683C22semidirect
50. C22×Dic59⋊C4C22semidirect
57. #16837308C22semidirect
58. #16837307C22semidirect
59. #16837306C22semidirect
60. #16837306C22semidirect
65. #16837302C22semidirect
66. #16837302C22semidirect
67. #16837302C22semidirect
68. #16837299C22semidirect
69. #16837299C22semidirect
70. #16837297C22semidirect
71. #16837296C22semidirect
72. #16837295C22semidirect
73. #16837295C22semidirect
75. #16837294C22semidirect
81. #16837293C22semidirect
82. #16837293C22semidirect
83. #16837293C22semidirect
84. #16837293C22semidirect
85. #16837293C22semidirect
86. #16837293C22semidirect
90. #16837292C22semidirect
91. #16837292C22semidirect
95. #16837291C22semidirect
96. #16837290C22semidirect
97. #16837290C22semidirect
98. #16837290C22semidirect
99. #16837288C22semidirect
100. #16837288C22semidirect
101. #16837286C22semidirect
102. #16837286C22semidirect
103. #16837286C22semidirect
104. #16837284C22semidirect
105. #16837284C22semidirect
106. #16837283C22semidirect
107. #16837283C22semidirect
108. #16837283C22semidirect
110. #16837282C22semidirect
111. #16837282C22semidirect
112. #16837282C22semidirect
117. #16837281C22semidirect
124. #16837279C22semidirect
125. #16837279C22semidirect
128. #16837278C22semidirect
129. #16837275C22semidirect
130. #16837275C22semidirect
131. #16837275C22semidirect
132. #16837274C22semidirect
133. #16837274C22semidirect
134. #16837273C22semidirect
135. #16837273C22semidirect
136. #16837273C22semidirect
137. #16837269C22semidirect
140. #16837264C22semidirect
141. #16837263C22semidirect
142. #16837263C22semidirect
143. #16837261C22semidirect
144. #16837261C22semidirect
145. #16837260C22semidirect
146. #16837260C22semidirect
148. #16837259C22semidirect
153. C4×Dic59⋊C4C22semidirect
154. C4×Dic59⋊C4C22semidirect
155. C22⋊C4×Dic59C22semidirect
156. C22⋊C4×Dic59C22semidirect
157. C22⋊C4×Dic59C22semidirect
158. C22⋊C4×Dic59C22semidirect
160. C4×(C2×D59)⋊C4C22semidirect
161. C4×(C2×D59)⋊C4C22semidirect
162. C4×(C2×D59)⋊C4C22semidirect
163. C4×C22⋊Dic59C22semidirect
164. C4×C22⋊Dic59C22semidirect
165. #16837249C22semidirect
166. #16837249C22semidirect
167. #16837249C22semidirect
168. #16837248C22semidirect
169. #16837247C22semidirect
170. C2×C59⋊#95C22semidirect
171. C2×C59⋊#95C22semidirect
172. C2×C59⋊#95C22semidirect
175. C2×C4×D4×C59C22semidirect
176. C2×C4×D4×C59C22semidirect
177. C22×C42×C59C22semidirect
178. C59×#390C22semidirect
179. C59×#389C22semidirect
180. C59×#388C22semidirect
181. C59×#388C22semidirect
183. C59×#386C22semidirect
184. C59×#380C22semidirect
185. C4×C4⋊C4×C59C22semidirect
186. C4×C22⋊C4×C59C22semidirect
187. C4×C22⋊C4×C59C22semidirect
192. C2×#11745687C2×C4semidirect
202. C2×D4×D59C2×C4semidirect
214. #14273713C2×C4semidirect
215. #14273712C2×C4semidirect
216. #14273708C2×C4semidirect
217. #14273705C2×C4semidirect
218. #14273700C2×C4semidirect
219. #14273699C2×C4semidirect
220. #14273695C2×C4semidirect
221. #14273695C2×C4semidirect
225. C4×C22⋊D59C2×C4semidirect
226. (C22⋊D59)⋊C4C2×C4semidirect
259. C2×(C2×D59)⋊C4C2×C4semidirect
290. C22⋊C4×D59C2×C4semidirect
344. #121×C59C2×C4semidirect
851. C4×#121D59semidirect
885. C2×C4×D4C2×D59semidirect
886. C2×C4×D4C2×D59semidirect
896. C22×C42C2×D59semidirect
908. #390C2×D59semidirect
912. #389C2×D59semidirect
941. #388C2×D59semidirect
942. #388C2×D59semidirect
974. #386C2×D59semidirect
995. #380C2×D59semidirect
1002. C4×C4⋊C4C2×D59semidirect
1016. C4×C22⋊C4C2×D59semidirect
1017. C4×C22⋊C4C2×D59semidirect
1023. C59#34492semidirect
1064. #121C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168380412
#214272582
#214272472
#214272412
#214272332
#214272042
#214271482
#214271352
#214270822
#214270732
#214270382
#214270302
#214269422
#214269392
#214269212
D4×(C2×D59)⋊C42
#214269072
#214268802
#214268592
#214268472
#214267942
#214267702
#214267592
#214267502
#214267372
#214266902
#214266832
#214266702
#214265392
C2×#168372932
C4×#121×C592
#3449259