Finite Group Databasebeta

← #28756864

Subgroups — #28756864

Order 15104.

2992 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837935C211yesmaximal, characteristic, complemented
2C22×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
3#21428342C211yesmaximal, characteristic, complemented
4#21428166C211yesmaximal, characteristic, complemented
5#21428158C211yesmaximal, characteristic, complemented
6#21428009C211yesmaximal, characteristic, complemented
7#21428001C211yesmaximal, characteristic, complemented
8#21427961C211yesmaximal, characteristic, complemented
9#21427876C211yesmaximal, characteristic, complemented
10#21427819C211yesmaximal, characteristic, complemented
11#21427745C211yesmaximal, characteristic, complemented
12#21427668C211yesmaximal, characteristic, complemented
13#21427583C211yesmaximal, characteristic, complemented
14#21427560C211yesmaximal, characteristic, complemented
15#21427558C211yesmaximal, characteristic, complemented
16#21427546C211yesmaximal, characteristic, complemented
17#21427451C211yesmaximal, characteristic
18#21427358C211yesmaximal, characteristic, complemented
19#21427354C211yesmaximal, characteristic, complemented
20#21427341C211yesmaximal, characteristic, complemented
21#21427333C211yesmaximal, characteristic, complemented
22#21426637C211yesmaximal, characteristic, complemented
23#21426628C211yesmaximal, characteristic, complemented
24#21426608C211yesmaximal, characteristic, complemented
25#21426597C211yesmaximal, characteristic, complemented
26#21426595C211yesmaximal, characteristic, complemented
27#21426556C211yesmaximal, characteristic, complemented
28#21426478C211yesmaximal, characteristic, complemented
29#21426474C211yesmaximal, characteristic, complemented
30C4×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
31C59×#2480C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C24×Dic59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35#16837935—28no—
36C2×#14273721C2211yescharacteristic, complemented
37C2×#14273717C2211yescharacteristic, complemented
38C2×#14273713C2211yescharacteristic
39C2×#14273713C2211yescharacteristic
40C2×#14273712C2211yescharacteristic, complemented
41C2×#14273709C2211yescharacteristic, complemented
42C2×#14273705C2211yescharacteristic, complemented
43C2×#14273704C2211yescharacteristic
44C2×#14273700C2211yescharacteristic
45C2×#14273700C2211yescharacteristic
46C2×#14273697C2211yescharacteristic
47C2×#14273696C2211yescharacteristic
48C2×#14273692C2211yescharacteristic, complemented
49C2×#14273689C2211yescharacteristic, complemented
50C2×#14273689C2211yescharacteristic, complemented
51C2×C4×C22⋊D59C2211yescharacteristic
52C2×(C22⋊D59)⋊C4—28no—
53C2×(C22⋊D59)⋊C4C2211yescharacteristic
54C2×(C22⋊D59)⋊C4C2211yescharacteristic
55C2×(C22⋊D59)⋊C4C2211yescharacteristic
56C2×(C22⋊D59)⋊C4C2211yescharacteristic
57C2×(C22⋊D59)⋊C4C2211yescharacteristic
58C2×(C22⋊D59)⋊C4C2211yescharacteristic
59C2×(C22⋊D59)⋊C4C2211yescharacteristic
60C2×(C22⋊D59)⋊C4C2211yescharacteristic
61C2×(C22⋊D59)⋊C4C2211yescharacteristic
62C2×(C22⋊D59)⋊C4C2211yescharacteristic
63C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
64C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
65C2×#14273685C2211yescharacteristic, complemented
66C2×#14273685C2211yescharacteristic, complemented
67C2×#14273683C2211yescharacteristic, complemented
68C2×#14273683C2211yescharacteristic, complemented
69C22×Dic59⋊C4C2211yescharacteristic
70C22×(C2×D59)⋊C4C2211yescharacteristic
71C22×C4×Dic59C2211yescharacteristic
72C2×C42×D59C2211yescharacteristic, complemented
73#16837343C2211yescharacteristic, complemented
74#16837342C2211yescharacteristic, complemented
75#16837338C2211yescharacteristic, complemented
76#16837337C2211yescharacteristic, complemented
77#16837336C2211yescharacteristic, complemented
78#16837335C2211yescharacteristic, complemented
79#16837333C2211yescharacteristic, complemented
80#16837333C2211yescharacteristic, complemented
81#16837331C2211yescharacteristic, complemented
82#16837331C2211yescharacteristic, complemented
83#16837331C2211yescharacteristic, complemented
84#16837331C2211yescharacteristic, complemented
85#16837330C2211yescharacteristic, complemented
86#16837326C2211yescharacteristic, complemented
87#16837326C2211yescharacteristic, complemented
88#16837324C2211yescharacteristic, complemented
89#16837320C2211yescharacteristic, complemented
90#16837319C2211yescharacteristic, complemented
91#16837318C2211yescharacteristic
92#16837318C2211yescharacteristic
93#16837318C2211yescharacteristic, complemented
94#16837317C2211yescharacteristic
95#16837317C2211yescharacteristic
96#16837317C2211yescharacteristic
97#16837317C2211yescharacteristic
98#16837317C2211yescharacteristic, complemented
99#16837311C2211yescharacteristic
100#16837311C2211yescharacteristic
101#16837306C2211yescharacteristic, complemented
102#16837306C2211yescharacteristic, complemented
103#16837302C2211yescharacteristic
104#16837302C2211yescharacteristic
105#16837302C2211yescharacteristic
106#16837302C2211yescharacteristic
107#16837299C2211yescharacteristic, complemented
108#16837297C2211yescharacteristic, complemented
109#16837297C2211yescharacteristic, complemented
110#16837297C2211yescharacteristic, complemented
111#16837296C2211yescharacteristic, complemented
112#16837295C2211yescharacteristic, complemented
113#16837293C2211yescharacteristic, complemented
114#16837293C2211yescharacteristic, complemented
115#16837293C2211yescharacteristic, complemented
116#16837292C2211yescharacteristic, complemented
117#16837291C2211yescharacteristic, complemented
118#16837287C2211yescharacteristic, complemented
119#16837283C2211yescharacteristic, complemented
120#16837281C2211yescharacteristic
121#16837280C2211yescharacteristic, complemented
122#16837280C2211yescharacteristic, complemented
123#16837280C2211yescharacteristic, complemented
124#16837279C2211yescharacteristic
125#16837279C2211yescharacteristic, complemented
126#16837279C2211yescharacteristic, complemented
127#16837278C2211yescharacteristic, complemented
128#16837275C2211yescharacteristic
129#16837274C2211yescharacteristic
130#16837274C2211yescharacteristic, complemented
131#16837274C2211yescharacteristic, complemented
132#16837273C2211yescharacteristic, complemented
133#16837273C2211yescharacteristic, complemented
134#16837266C2211yescharacteristic, complemented
135#16837264C2211yescharacteristic, complemented
136#16837264C2211yescharacteristic, complemented
137#16837263C2211yescharacteristic, complemented
138#16837263C2211yescharacteristic, complemented
139#16837262C2211yescharacteristic
140#16837261C2211yescharacteristic, complemented
141#16837260C2211yescharacteristic
142#16837260C2211yescharacteristic
143#16837260C2211yescharacteristic
144#16837260C2211yescharacteristic, complemented
145#16837260C2211yescharacteristic, complemented
146#16837259C2211yescharacteristic, complemented
147#16837259C2211yescharacteristic, complemented
148#16837258C2211yescharacteristic
149#16837257C2211yescharacteristic
150#16837257C2211yescharacteristic
151#16837257C2211yescharacteristic
152C4⋊C4×Dic59C2211yescharacteristic, complemented
153C4×Dic59⋊C4C2211yescharacteristic, complemented
154#16837253C2211yescharacteristic, complemented
155#16837253C2211yescharacteristic, complemented
156#16837253C2211yescharacteristic, complemented
157#16837253C2211yescharacteristic, complemented
158C22⋊C4×Dic59C2211yescharacteristic
159C22⋊C4×Dic59C2211yescharacteristic
160C22⋊C4×Dic59C2211yescharacteristic
161C22⋊C4×Dic59C2211yescharacteristic
162C22⋊C4×Dic59C2211yescharacteristic, complemented
163C22⋊C4×Dic59C2211yescharacteristic, complemented
164C22⋊C4×Dic59C2211yescharacteristic, complemented
165C22⋊C4×Dic59C2211yescharacteristic, complemented
166C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
167#16837249C2211yescharacteristic, complemented
168#16837249C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172#16837249C2211yescharacteristic, complemented
173C42×Dic59C2211yescharacteristic, complemented
174C2×#126×C59C2211yescharacteristic, complemented
175C22×C22⋊C4×C59C2211yescharacteristic
176C59×#397C2211yescharacteristic, complemented
177C59×#397C2211yescharacteristic, complemented
178C59×#397C2211yescharacteristic, complemented
179C59×#396C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#385C2211yescharacteristic
184C59×#385C2211yescharacteristic
185C59×#380C2211yescharacteristic
186C59×#379C2211yescharacteristic
187C59×#379C2211yescharacteristic
188C4×C22⋊C4×C59C2211yescharacteristic
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×C22⋊D59—24no—
194C22×C22⋊D59—24no—
195C22×C22⋊D59—24no—
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C23×Dic59—24no—
204C23×Dic59—24no—
205C23×Dic59—42no—
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C23×Dic59C2311yescharacteristic
210C23×Dic59C2311yescharacteristic
211C23×Dic59C2311yescharacteristic
212C23×Dic59C2311yescharacteristic
213C22×C4×D59—24no—
214C22×C4×D59—24no—
215C22×C4×D59—42no—
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223#14273721—24no—
224#14273717—24no—
225#14273713—24no—
226#14273713—24no—
227#14273712—24no—
228#14273709—24no—
229#14273705—24no—
230#14273704—24no—
231#14273700—24no—
232#14273700—24no—
233#14273697—24no—
234#14273696—24no—
235#14273692—24no—
236#14273689—24no—
237#14273689—42no—
238C4×C22⋊D59—24no—
239(C22⋊D59)⋊C4—24no—
240(C22⋊D59)⋊C4—24no—
241(C22⋊D59)⋊C4—24no—
242(C22⋊D59)⋊C4—24no—
243(C22⋊D59)⋊C4—24no—
244(C22⋊D59)⋊C4—24no—
245(C22⋊D59)⋊C4—24no—
246(C22⋊D59)⋊C4—24no—
247(C22⋊D59)⋊C4—24no—
248(C22⋊D59)⋊C4—24no—
249(C22⋊D59)⋊C4—42no—
250(C22⋊D59)⋊C4D418yescomplemented
251#14273685—24no—
252#14273685—42no—
253#14273683—24no—
254#14273683—42no—
255C2×C4⋊Dic59C2311yescharacteristic
256C2×C4⋊Dic59C2311yescharacteristic
257C2×C4⋊Dic59C2311yescharacteristic
258C2×Dic59⋊C4—24no—
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
276C2×Dic59⋊C4C2311yescharacteristic
277C2×Dic59⋊C4C2311yescharacteristic
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×(C2×D59)⋊C4—24no—
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C2×C4×Dic59—24no—
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C2×C4×Dic59C2311yescharacteristic
327C2×C4×Dic59C2311yescharacteristic
328C2×C4×Dic59C2311yescharacteristic
329C42×D59—24no—
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C25×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357#126×C59—24no—
358C2×C4⋊C4×C59C2311yescharacteristic
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×C59—24no—
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊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×C42×C59C2311yescharacteristic
382C2×C42×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59—22no—
392C24×C59—22no—
393C24×C59—22no—
394C24×C59—22no—
395C24×C59—22no—
396C24×C59—41no—
397C24×C59—41no—
398C24×C59C2411yescharacteristic
399C24×C59C2411yescharacteristic
400C24×C59C2411yescharacteristic
401C23×D59—22no—
402C23×D59—22no—
403C23×D59—22no—
404C23×D59—22no—
405C23×D59—22no—
406C23×D59—41no—
407C23×D59—41no—
408C23×D59C2411yescharacteristic
409C23×D59C2411yescharacteristic
410C23×D59C2411yescharacteristic
411C22×C4×C59—22no—
412C22×C4×C59—22no—
413C22×C4×C59—22no—
414C22×C4×C59—22no—
415C22×C4×C59—41no—
416C22×C4×C59—41no—
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
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
429C2×C22⋊D59—232no—
430C2×C22⋊D59—22no—
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
433C2×C22⋊D59—22no—
434C2×C22⋊D59—22no—
435C2×C22⋊D59—22no—
436C2×C22⋊D59—22no—
437C2×C22⋊D59—22no—
438C2×C22⋊D59—22no—
439C2×C22⋊D59—22no—
440C2×C22⋊D59—22no—
441C2×C22⋊D59—22no—
442C2×C22⋊D59—22no—
443C2×C22⋊D59—22no—
444C2×C22⋊D59—22no—
445C2×C22⋊D59—22no—
446C2×C22⋊D59—41no—
447C2×C22⋊D59—41no—
448C2×C22⋊D59C2×D414yes—
449C2×C22⋊D59#4114yes—
450C2×C22⋊D59#4114yes—
451C22×Dic59—22no—
452C22×Dic59—22no—
453C22×Dic59—22no—
454C22×Dic59—22no—
455C22×Dic59—22no—
456C22×Dic59—22no—
457C22×Dic59—22no—
458C22×Dic59—22no—
459C22×Dic59—22no—
460C22×Dic59—22no—
461C22×Dic59—22no—
462C22×Dic59—22no—
463C22×Dic59—22no—
464C22×Dic59—22no—
465C22×Dic59—22no—
466C22×Dic59—41no—
467C22×Dic59—41no—
468C22×Dic59—41no—
469C22×Dic59—416no—
470C22×Dic59C2×D414yes—
471C22×Dic59#4114yes—
472C22×Dic59#4114yes—
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C22×Dic59C2411yescharacteristic
484C22×Dic59C2411yescharacteristic
485C22×Dic59C2411yescharacteristic
486C2×D236—22no—
487C2×D236—22no—
488C2×D236—22no—
489C2×D236—22no—
490C2×D236—41no—
491C2×D236—41no—
492C2×C4×D59—22no—
493C2×C4×D59—22no—
494C2×C4×D59—22no—
495C2×C4×D59—22no—
496C2×C4×D59—22no—
497C2×C4×D59—22no—
498C2×C4×D59—22no—
499C2×C4×D59—22no—
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—416no—
510C2×C4×D59—41no—
511C2×C4×D59—41no—
512C2×C4×D59—41no—
513C2×C4×D59C2×D414yes—
514C2×Dic118—22no—
515C2×Dic118—22no—
516C2×Dic118—22no—
517C4⋊C4×C59—22no—
518C4⋊C4×C59—22no—
519C4⋊C4×C59—22no—
520C4⋊C4×C59—41no—
521C4⋊C4×C59—41no—
522C4⋊C4×C59—41no—
523C22⋊C4×C59—22no—
524C22⋊C4×C59—22no—
525C22⋊C4×C59—22no—
526C22⋊C4×C59—22no—
527C22⋊C4×C59—22no—
528C22⋊C4×C59—22no—
529C22⋊C4×C59—22no—
530C22⋊C4×C59—22no—
531C22⋊C4×C59—22no—
532C22⋊C4×C59—22no—
533C22⋊C4×C59—22no—
534C22⋊C4×C59—41no—
535C22⋊C4×C59—41no—
536C22⋊C4×C59—41no—
537C22⋊C4×C59—41no—
538C22⋊C4×C59C2×D414yes—
539C42×C59—22no—
540C42×C59—41no—
541C22⋊Dic59—22no—
542C22⋊Dic59—22no—
543C22⋊Dic59—22no—
544C22⋊Dic59—22no—
545C22⋊Dic59—22no—
546C22⋊Dic59—22no—
547C22⋊Dic59—22no—
548C22⋊Dic59—41no—
549C22⋊Dic59—41no—
550(C2×D59)⋊C4—22no—
551(C2×D59)⋊C4—22no—
552(C2×D59)⋊C4—22no—
553(C2×D59)⋊C4—22no—
554(C2×D59)⋊C4—22no—
555(C2×D59)⋊C4—22no—
556(C2×D59)⋊C4—22no—
557(C2×D59)⋊C4—22no—
558(C2×D59)⋊C4—22no—
559(C2×D59)⋊C4—22no—
560(C2×D59)⋊C4—22no—
561(C2×D59)⋊C4—22no—
562(C2×D59)⋊C4—22no—
563(C2×D59)⋊C4—22no—
564(C2×D59)⋊C4—22no—
565(C2×D59)⋊C4—22no—
566(C2×D59)⋊C4—41no—
567(C2×D59)⋊C4—41no—
568(C2×D59)⋊C4—41no—
569(C2×D59)⋊C4—41no—
570(C2×D59)⋊C4—41no—
571(C2×D59)⋊C4—41no—
572(C2×D59)⋊C4—41no—
573(C2×D59)⋊C4—41no—
574(C2×D59)⋊C4C2×D414yes—
575C4⋊Dic59—22no—
576C4⋊Dic59—22no—
577C4⋊Dic59—41no—
578Dic59⋊C4—22no—
579Dic59⋊C4—22no—
580Dic59⋊C4—22no—
581Dic59⋊C4—22no—
582Dic59⋊C4—22no—
583Dic59⋊C4—22no—
584Dic59⋊C4—22no—
585Dic59⋊C4—22no—
586Dic59⋊C4—22no—
587Dic59⋊C4—22no—
588Dic59⋊C4—22no—
589Dic59⋊C4—22no—
590Dic59⋊C4—22no—
591Dic59⋊C4—22no—
592Dic59⋊C4—41no—
593Dic59⋊C4—41no—
594Dic59⋊C4—41no—
595Dic59⋊C4—41no—
596Dic59⋊C4C2×D414yes—
597C4×Dic59—22no—
598C4×Dic59—22no—
599C4×Dic59—22no—
600C4×Dic59—22no—
601C4×Dic59—22no—
602C4×Dic59—22no—
603C4×Dic59—22no—
604C4×Dic59—22no—
605C4×Dic59—22no—
606C4×Dic59—22no—
607C4×Dic59—22no—
608C4×Dic59—22no—
609C4×Dic59—22no—
610C4×Dic59—22no—
611C4×Dic59C2×D414yes—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—28no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
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—44no—
630C23×C59—44no—
631C23×C59—44no—
632C23×C59—44no—
633C23×C59—44no—
634C23×C59—44no—
635C23×C59C22×D412yes—
636C23×C59C2×#4112yes—
637C23×C59C2×#4112yes—
638C23×C59C2×#4112yes—
639C23×C59C2×#4112yes—
640C23×C59C2511yescharacteristic
641C22×D59—28no—
642C22×D59—21no—
643C22×D59—21no—
644C22×D59—21no—
645C22×D59—21no—
646C22×D59—21no—
647C22×D59—21no—
648C22×D59—21no—
649C22×D59—21no—
650C22×D59—21no—
651C22×D59—21no—
652C22×D59—21no—
653C22×D59—21no—
654C22×D59—21no—
655C22×D59—21no—
656C22×D59—21no—
657C22×D59—21no—
658C22×D59—21no—
659C22×D59—21no—
660C22×D59—44no—
661C22×D59—44no—
662C22×D59—44no—
663C22×D59—44no—
664C22×D59—44no—
665C22×D59—44no—
666C22×D59C22×D412yes—
667C22×D59C2×#4112yes—
668C22×D59C2×#4112yes—
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—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
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—44no—
704C2×C4×C59—44no—
705C2×C4×C59C22×D412yes—
706C2×C4×C59C22×D412yes—
707C22⋊D59—28no—
708C22⋊D59—28no—
709C22⋊D59—28no—
710C22⋊D59—28no—
711C22⋊D59—28no—
712C22⋊D59—44no—
713C22⋊D59—44no—
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—28no—
723C2×Dic59—28no—
724C2×Dic59—28no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
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—44no—
747C2×Dic59—44no—
748C2×Dic59—44no—
749C2×Dic59—44no—
750C2×Dic59C22×D412yes—
751C2×Dic59C22×D412yes—
752C2×Dic59C22×D412yes—
753C2×Dic59C2×#4112yes—
754C2×Dic59C2×#4112yes—
755C2×Dic59C2×#4112yes—
756C2×Dic59C2×#4112yes—
757C2×Dic59C2×#4112yes—
758C2×Dic59C2×#4112yes—
759C2×Dic59H(5,𝔽2)12yes—
760D236—44no—
761D236—44no—
762C4×D59—28no—
763C4×D59—44no—
764C4×D59—44no—
765C4×D59—44no—
766C4×D59—44no—
767C4×D59—44no—
768C4×D59—44no—
769Dic118—44no—
770#34700—591nomaximal, Sylow
771C22×C59—22no—
772C22×C59—22no—
773C22×C59—22no—
774C22×C59—22no—
775C22×C59—22no—
776C22×C59—22no—
777C22×C59—22no—
778C22×C59—22no—
779C22×C59—22no—
780C22×C59—22no—
781C22×C59—22no—
782C22×C59—22no—
783C22×C59—416no—
784C22×C59—41no—
785C22×C59—41no—
786C22×C59—41no—
787C22×C59—41no—
788C22×C59—41no—
789C22×C59—41no—
790C22×C59—41no—
791C22×C59—41no—
792C22×C59#52914yescomplemented
793C22×C59C23×D411yescharacteristic
794C22×C59C22×#4111yescharacteristic
795C22×C59C22×#4111yescharacteristic
796C22×C59C22×#4111yescharacteristic
797C22×C59C22×#4111yescharacteristic
798C22×C59C2×H(5,𝔽2)11yescharacteristic
799C22×C59#58511yescharacteristic
800C2×D59—22no—
801C2×D59—22no—
802C2×D59—22no—
803C2×D59—22no—
804C2×D59—22no—
805C2×D59—22no—
806C2×D59—22no—
807C2×D59—22no—
808C2×D59—22no—
809C2×D59—416no—
810C2×D59—41no—
811C2×D59—41no—
812C2×D59—41no—
813C2×D59—41no—
814C2×D59—41no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—41no—
822C4×C59—22no—
823C4×C59—22no—
824C4×C59—41no—
825C4×C59—41no—
826C4×C59—41no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59—41no—
834Dic59—22no—
835Dic59—22no—
836Dic59—22no—
837Dic59—22no—
838Dic59—41no—
839Dic59—41no—
840Dic59—41no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59#52514yes—
846Dic59#54614yes—
847C2×#529—591no—
848C22×C4×D4—591no—
849#2480—591no—
850#2480D5911yescharacteristic, complemented
851#2468—591no—
852#2468—591no—
853#2457—591no—
854#2457—591no—
855#2454—591no—
856#2447—591no—
857#2442—591no—
858#2435—591no—
859#2427—591no—
860#2420—591no—
861#2418—591no—
862#2418—591no—
863#2417—591no—
864#2408—591no—
865#2395—591no—
866#2395—591no—
867#2392—591no—
868#2392—591no—
869C4×#124—591no—
870C4×C22⋊Q8—591no—
871C4×#121—591no—
872C4×#120—591no—
873C4×#120—591no—
874#2293—591no—
875#2280—591no—
876#2280—591no—
877C42×D4—591no—
878C2×C59—24no—
879C2×C59—42no—
880C2×C59—42no—
881C2×C59C2×#52511yescharacteristic
882C2×C59C2×#52911yescharacteristic
883C2×C59#346011yescharacteristic
884C2×C59C2×#54611yescharacteristic
885C2×C59D4×#4111yescharacteristic
886C2×C59#347511yescharacteristic
887C2×C59#348111yescharacteristic
888D59—42no—
889D59—42no—
890D59—42no—
891C23×D4—591no—
892C24×C4—591no—
893C24×C4—591no—
894#529—1188no—
895C2×#126—591no—
896C2×#126C2×D5911yescharacteristic, complemented
897C2×#125—591no—
898C2×#124—591no—
899C2×#124—591no—
900C2×#123—591no—
901C2×#123—591no—
902C2×C22⋊Q8—591no—
903C2×C22⋊Q8—591no—
904C2×#121—591no—
905C2×#121—591no—
906C2×#120—591no—
907C2×#120—591no—
908C2×C4×Q8—591no—
909C2×C4×D4—591no—
910C2×C4×D4—591no—
911C2×C4×D4—591no—
912C2×C4×D4—591no—
913C2×C4×D4—591no—
914C2×C4×D4—591no—
915C2×C4×D4—591no—
916C2×C4×D4—591no—
917C2×C4×D4—591no—
918C2×C4×D4—591no—
919C2×C4×D4—591no—
920C2×C4×D4—591no—
921C2×C4×D4—591no—
922C2×C4×D4—591no—
923C2×C4×D4—591no—
924C2×C4×D4—1188no—
925C2×#117—591no—
926C2×#117—591no—
927C2×#117—591no—
928C2×#117—591no—
929C22×C4⋊C4—591no—
930C22×C22⋊C4—591no—
931C22×C22⋊C4C2×D5911yescharacteristic
932C22×C42—591no—
933C22×C42—591no—
934#400—591no—
935#400—591no—
936#399—591no—
937#399—591no—
938#398—591no—
939#398—591no—
940#398—591no—
941#398—591no—
942#397—591no—
943#397—591no—
944#397—591no—
945#397—591no—
946#397—591no—
947#397C2×D5911yescharacteristic, complemented
948#397C2×D5911yescharacteristic, complemented
949#397C2×D5911yescharacteristic, complemented
950#396—591no—
951#396—591no—
952#396—591no—
953#396C2×D5911yescharacteristic, complemented
954#394—591no—
955#394—591no—
956#394—591no—
957#394—591no—
958#394—591no—
959#394—591no—
960#394—591no—
961#394—591no—
962#394—591no—
963#394—591no—
964#392—591no—
965#392—591no—
966#391—591no—
967#391—591no—
968#390—591no—
969#390—591no—
970#390—591no—
971#390—591no—
972#389—591no—
973#389—591no—
974#389—591no—
975#389—591no—
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#388—591no—
981#388—591no—
982#388—591no—
983#388C2×D5911yescharacteristic, complemented
984#388C2×D5911yescharacteristic, complemented
985#388C2×D5911yescharacteristic, complemented
986#387—591no—
987#387—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#385—591no—
997#385—591no—
998#385—591no—
999#385—591no—
1000#385—591no—
1001#385—591no—
1002#385C2×D5911yescharacteristic
1003#385C2×D5911yescharacteristic
1004#382—591no—
1005#381—591no—
1006#381—591no—
1007#381—591no—
1008#381—591no—
1009#380—591no—
1010#380—591no—
1011#380—591no—
1012#380—591no—
1013#380—591no—
1014#380—591no—
1015#380—591no—
1016#380—591no—
1017#380—591no—
1018#380C2×D5911yescharacteristic
1019#379—591no—
1020#379—591no—
1021#379—591no—
1022#379—591no—
1023#379C2×D5911yescharacteristic
1024#379C2×D5911yescharacteristic
1025C4×C4⋊C4—591no—
1026C4×C4⋊C4—591no—
1027C4×C4⋊C4—591no—
1028C4×C4⋊C4—591no—
1029C4×C4⋊C4—591no—
1030C4×C4⋊C4—591no—
1031C4×C22⋊C4—591no—
1032C4×C22⋊C4—591no—
1033C4×C22⋊C4—591no—
1034C4×C22⋊C4—591no—
1035C4×C22⋊C4—591no—
1036C4×C22⋊C4—591no—
1037C4×C22⋊C4—591no—
1038C4×C22⋊C4—591no—
1039C4×C22⋊C4—591no—
1040C4×C22⋊C4—591no—
1041C4×C22⋊C4—591no—
1042C4×C22⋊C4—591no—
1043C4×C22⋊C4—591no—
1044C4×C22⋊C4—591no—
1045C4×C22⋊C4—591no—
1046C4×C22⋊C4C2×D5911yescharacteristic
1047C43—591no—
1048C59#3470011yescharacteristic, complemented, Sylow
1049C25—591no—
1050C25C22×D5911yescharacteristic
1051C22×Q8—591no—
1052C22×D4—591no—
1053C22×D4—591no—
1054C22×D4—591no—
1055C22×D4—591no—
1056C22×D4—591no—
1057C22×D4—591no—
1058C22×D4—591no—
1059C22×D4—591no—
1060C22×D4—591no—
1061C22×D4—1184no—
1062C22×D4—1184no—
1063C22×D4—1184no—
1064C23×C4—591no—
1065C23×C4—591no—
1066C23×C4—591no—
1067C23×C4—591no—
1068C23×C4—591no—
1069C23×C4—591no—
1070C23×C4—591no—
1071C23×C4—591no—
1072C23×C4—591no—
1073C23×C4—591no—
1074C23×C4—591no—
1075C23×C4—591no—
1076C23×C4—591no—
1077C23×C4—591no—
1078C23×C4—1184no—
1079C23×C4—1184no—
1080C23×C4—1184no—
1081C23×C4—1184no—
1082C23×C4—2362no—
1083C23×C4—2362no—
1084C23×C4C22×D5911yescharacteristic
1085C23×C4C22×D5911yescharacteristic
1086#126—24no—
1087#126—1184no—
1088#125—1184no—
1089#124—1184no—
1090#124—1184no—
1091#123—1184no—
1092#123—1184no—
1093C22⋊Q8—1184no—
1094C22⋊Q8—1184no—
1095#121—1184no—
1096#121—1184no—
1097#120—1184no—
1098#120—1184no—
1099C4×Q8—1184no—
1100C4×D4—598no—
1101C4×D4—1184no—
1102C4×D4—1184no—
1103C4×D4—1184no—
1104C4×D4—1184no—
1105C4×D4—1184no—
1106C4×D4—1184no—
1107C4×D4—1184no—
1108C4×D4—1184no—
1109C4×D4—1184no—
1110C4×D4—1184no—
1111C4×D4—1184no—
1112C4×D4—1184no—
1113C4×D4—2362no—
1114C4×D4—2362no—
1115#117—1184no—
1116#117—1184no—
1117#117—2362no—
1118#117—2362no—
1119C2×C4⋊C4—591no—
1120C2×C4⋊C4—591no—
1121C2×C4⋊C4—591no—
1122C2×C4⋊C4—591no—
1123C2×C4⋊C4—591no—
1124C2×C4⋊C4—591no—
1125C2×C4⋊C4—591no—
1126C2×C4⋊C4—591no—
1127C2×C4⋊C4—591no—
1128C2×C4⋊C4—591no—
1129C2×C4⋊C4—591no—
1130C2×C4⋊C4—591no—
1131C2×C4⋊C4—591no—
1132C2×C4⋊C4—591no—
1133C2×C4⋊C4—591no—
1134C2×C4⋊C4—591no—
1135C2×C4⋊C4—591no—
1136C2×C4⋊C4—591no—
1137C2×C4⋊C4—591no—
1138C2×C4⋊C4—591no—
1139C2×C4⋊C4—591no—
1140C2×C4⋊C4—591no—
1141C2×C4⋊C4—1184no—
1142C2×C4⋊C4C22×D5911yescharacteristic
1143C2×C4⋊C4C22×D5911yescharacteristic
1144C2×C4⋊C4C22×D5911yescharacteristic
1145C2×C4⋊C4C22×D5911yescharacteristic
1146C2×C4⋊C4C22×D5911yescharacteristic
1147C2×C4⋊C4C22×D5911yescharacteristic
1148C2×C22⋊C4—24no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—591no—
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4—591no—
1175C2×C22⋊C4—591no—
1176C2×C22⋊C4—591no—
1177C2×C22⋊C4—591no—
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—1184no—
1184C2×C22⋊C4C22×D5911yescharacteristic
1185C2×C22⋊C4C22×D5911yescharacteristic
1186C2×C22⋊C4C22×D5911yescharacteristic
1187C2×C22⋊C4C22×D5911yescharacteristic
1188C2×C22⋊C4C22×D5911yescharacteristic
1189C2×C22⋊C4C22×D5911yescharacteristic
1190C2×C22⋊C4C22×D5911yescharacteristic
1191C2×C22⋊C4C22×D5911yescharacteristic
1192C2×C22⋊C4C22×D5911yescharacteristic
1193C2×C22⋊C4C22×D5911yescharacteristic
1194C2×C22⋊C4C22×D5911yescharacteristic
1195C2×C22⋊C4C22×D5911yescharacteristic
1196C2×C22⋊C4C22×D5911yescharacteristic
1197C2×C22⋊C4C22×D5911yescharacteristic
1198C2×C22⋊C4C22×D5911yescharacteristic
1199C2×C22⋊C4C22×D5911yescharacteristic
1200C2×C42—591no—
1201C2×C42—591no—
1202C2×C42—591no—
1203C2×C42—591no—
1204C2×C42—591no—
1205C2×C42—591no—
1206C2×C42—591no—
1207C2×C42—591no—
1208C2×C42—591no—
1209C2×C42—591no—
1210C2×C42—591no—
1211C2×C42—591no—
1212C2×C42—591no—
1213C2×C42—591no—
1214C2×C42—591no—
1215C2×C42—1184no—
1216C2×C42—1184no—
1217C2×C42C22×D5911yescharacteristic
1218C2×C42C22×D5911yescharacteristic
1219#95—591no—
1220#95—591no—
1221#95—591no—
1222#95—591no—
1223#95—591no—
1224#95—591no—
1225#95—591no—
1226#95—591no—
1227#95—591no—
1228#95—591no—
1229#95—591no—
1230#95—591no—
1231#95—591no—
1232#95—591no—
1233#95—591no—
1234#95—591no—
1235#95—591no—
1236#95—591no—
1237#95—591no—
1238#95—591no—
1239#95—591no—
1240#95—591no—
1241#95—591no—
1242#95—591no—
1243#95C22×D5911yescharacteristic
1244#95C22×D5911yescharacteristic
1245#95C22×D5911yescharacteristic
1246#95C22×D5911yescharacteristic
1247#95C22×D5911yescharacteristic
1248#95C22×D5911yescharacteristic
1249#95C22×D5911yescharacteristic
1250#95C22×D5911yescharacteristic
1251C24—22no—
1252C24—22no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—41no—
1257C24—41no—
1258C24—591no—
1259C24—591no—
1260C24—591no—
1261C24—1182no—
1262C24—1182no—
1263C24—1182no—
1264C24—1182no—
1265C24—1182no—
1266C24—2361no—
1267C24—2361no—
1268C24C23×D5911yescharacteristic
1269C24C23×D5911yescharacteristic
1270C24C23×D5911yescharacteristic
1271C2×Q8—1182no—
1272C2×Q8—1182no—
1273C2×Q8—1182no—
1274C2×D4—594no—
1275C2×D4—594no—
1276C2×D4—594no—
1277C2×D4—1182no—
1278C2×D4—1182no—
1279C2×D4—1182no—
1280C2×D4—1182no—
1281C2×D4—1182no—
1282C2×D4—1182no—
1283C2×D4—1182no—
1284C2×D4—1182no—
1285C2×D4—1182no—
1286C2×D4—1182no—
1287C2×D4—1182no—
1288C2×D4—1182no—
1289C2×D4—11832no—
1290C2×D4—1182no—
1291C2×D4—1182no—
1292C2×D4—1182no—
1293C2×D4—1182no—
1294C2×D4—1182no—
1295C2×D4—1182no—
1296C2×D4—1182no—
1297C2×D4—1182no—
1298C2×D4—2361no—
1299C2×D4—2361no—
1300C2×D4—2361no—
1301C2×D4—2361no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—591no—
1309C22×C4—591no—
1310C22×C4—594no—
1311C22×C4—594no—
1312C22×C4—594no—
1313C22×C4—591no—
1314C22×C4—591no—
1315C22×C4—591no—
1316C22×C4—591no—
1317C22×C4—594no—
1318C22×C4—591no—
1319C22×C4—591no—
1320C22×C4—591no—
1321C22×C4—591no—
1322C22×C4—591no—
1323C22×C4—591no—
1324C22×C4—591no—
1325C22×C4—1182no—
1326C22×C4—1182no—
1327C22×C4—1182no—
1328C22×C4—1182no—
1329C22×C4—1182no—
1330C22×C4—1182no—
1331C22×C4—1182no—
1332C22×C4—1182no—
1333C22×C4—1182no—
1334C22×C4—1182no—
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—1182no—
1344C22×C4—1182no—
1345C22×C4—1182no—
1346C22×C4—1182no—
1347C22×C4—1182no—
1348C22×C4—1182no—
1349C22×C4—1182no—
1350C22×C4—1182no—
1351C22×C4—1182no—
1352C22×C4—1182no—
1353C22×C4—1182no—
1354C22×C4—1182no—
1355C22×C4—1182no—
1356C22×C4—1182no—
1357C22×C4—2361no—
1358C22×C4—2361no—
1359C22×C4—2361no—
1360C22×C4—23616no—
1361C22×C4—2361no—
1362C22×C4—2361no—
1363C22×C4—2361no—
1364C22×C4—23616no—
1365C22×C4C23×D5911yescharacteristic
1366C22×C4C23×D5911yescharacteristic
1367C22×C4C23×D5911yescharacteristic
1368C22×C4C23×D5911yescharacteristic
1369C22×C4C23×D5911yescharacteristic
1370C22×C4C23×D5911yescharacteristic
1371C22×C4C23×D5911yescharacteristic
1372C22×C4C23×D5911yescharacteristic
1373C22×C4C23×D5911yescharacteristic
1374C22×C4C23×D5911yescharacteristic
1375C22×C4C23×D5911yescharacteristic
1376C22×C4C23×D5911yescharacteristic
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—41no—
1381C4⋊C4—41no—
1382C4⋊C4—41no—
1383C4⋊C4—594no—
1384C4⋊C4—1182no—
1385C4⋊C4—1182no—
1386C4⋊C4—1182no—
1387C4⋊C4—1182no—
1388C4⋊C4—1182no—
1389C4⋊C4—1182no—
1390C4⋊C4—1182no—
1391C4⋊C4—1182no—
1392C4⋊C4—1182no—
1393C4⋊C4—1182no—
1394C4⋊C4—1182no—
1395C4⋊C4—1182no—
1396C4⋊C4—1182no—
1397C4⋊C4—1182no—
1398C4⋊C4—1182no—
1399C4⋊C4—1182no—
1400C4⋊C4—2361no—
1401C4⋊C4—2361no—
1402C4⋊C4—2361no—
1403C4⋊C4—2361no—
1404C4⋊C4—2361no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—594no—
1421C22⋊C4—1182no—
1422C22⋊C4—1182no—
1423C22⋊C4—1182no—
1424C22⋊C4—1182no—
1425C22⋊C4—1182no—
1426C22⋊C4—1182no—
1427C22⋊C4—1182no—
1428C22⋊C4—1182no—
1429C22⋊C4—1182no—
1430C22⋊C4—1182no—
1431C22⋊C4—1182no—
1432C22⋊C4—1182no—
1433C22⋊C4—1182no—
1434C22⋊C4—1182no—
1435C22⋊C4—1182no—
1436C22⋊C4—1182no—
1437C22⋊C4—1182no—
1438C22⋊C4—1182no—
1439C22⋊C4—1182no—
1440C22⋊C4—1182no—
1441C22⋊C4—1182no—
1442C22⋊C4—1182no—
1443C22⋊C4—1182no—
1444C22⋊C4—2361no—
1445C22⋊C4—2361no—
1446C22⋊C4—2361no—
1447C22⋊C4—2361no—
1448C22⋊C4—2361no—
1449C22⋊C4—2361no—
1450C22⋊C4—2361no—
1451C22⋊C4—2361no—
1452C22⋊C4—2361no—
1453C22⋊C4—2361no—
1454C22⋊C4D4×D5914yes—
1455C42—22no—
1456C42—41no—
1457C42—594no—
1458C42—1182no—
1459C42—1182no—
1460C42—1182no—
1461C42—1182no—
1462C42—1182no—
1463C42—1182no—
1464C42—1182no—
1465C42—1182no—
1466C42—1182no—
1467C42—1182no—
1468C42—1182no—
1469C42—1182no—
1470C42—1182no—
1471C42—1182no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—28no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—44no—
1490C23—44no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—592no—
1496C23—592no—
1497C23—592no—
1498C23—1188no—
1499C23—1181no—
1500C23—1181no—
1501C23—1181no—
1502C23—1181no—
1503C23—1181no—
1504C23—1181no—
1505C23—1181no—
1506C23—1181no—
1507C23—1181no—
1508C23—1181no—
1509C23—1181no—
1510C23—1181no—
1511C23—1181no—
1512C23—1181no—
1513C23—1181no—
1514C23—1181no—
1515C23—1181no—
1516C23—1181no—
1517C23—2364no—
1518C23—2364no—
1519C23—2364no—
1520C23—2364no—
1521C23—2364no—
1522C23—2364no—
1523C23C2×D4×D5912yes—
1524C23#41×D5912yes—
1525C23#41×D5912yes—
1526C23#41×D5912yes—
1527C23#41×D5912yes—
1528C23C24×D5911yescharacteristic
1529Q8—2364no—
1530D4—1188no—
1531D4—1188no—
1532D4—1188no—
1533D4—1188no—
1534D4—1188no—
1535D4—2364no—
1536D4—2364no—
1537D4—2364no—
1538D4—2364no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—592no—
1576C2×C4—592no—
1577C2×C4—592no—
1578C2×C4—592no—
1579C2×C4—592no—
1580C2×C4—592no—
1581C2×C4—592no—
1582C2×C4—592no—
1583C2×C4—592no—
1584C2×C4—592no—
1585C2×C4—1188no—
1586C2×C4—1188no—
1587C2×C4—1188no—
1588C2×C4—1188no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—1181no—
1595C2×C4—1181no—
1596C2×C4—1181no—
1597C2×C4—1181no—
1598C2×C4—1181no—
1599C2×C4—1181no—
1600C2×C4—1181no—
1601C2×C4—1181no—
1602C2×C4—1181no—
1603C2×C4—1181no—
1604C2×C4—1181no—
1605C2×C4—1181no—
1606C2×C4—1181no—
1607C2×C4—1181no—
1608C2×C4—1181no—
1609C2×C4—1181no—
1610C2×C4—1181no—
1611C2×C4—1181no—
1612C2×C4—1181no—
1613C2×C4—1181no—
1614C2×C4—1181no—
1615C2×C4—1181no—
1616C2×C4—1181no—
1617C2×C4—1181no—
1618C2×C4—2364no—
1619C2×C4—2364no—
1620C2×C4—2364no—
1621C2×C4—2364no—
1622C2×C4—2364no—
1623C2×C4—2364no—
1624C2×C4—2364no—
1625C2×C4—2364no—
1626C2×C4—2364no—
1627C2×C4—2364no—
1628C2×C4C2×D4×D5912yes—
1629C2×C4C2×D4×D5912yes—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—416no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—1182no—
1652C22—1182no—
1653C22—1182no—
1654C22—1182no—
1655C22—1182no—
1656C22—1182no—
1657C22—1182no—
1658C22—1182no—
1659C22—1182no—
1660C22—23616no—
1661C22—2361no—
1662C22—2361no—
1663C22—2361no—
1664C22—2361no—
1665C22—2361no—
1666C22—2361no—
1667C22—2361no—
1668C22—2361no—
1669C22—2361no—
1670C22—2361no—
1671C22—2361no—
1672C22—2361no—
1673C22#1683793514yescomplemented
1674C22C22×D4×D5911yescharacteristic
1675C22C2×#41×D5911yescharacteristic
1676C22C2×#41×D5911yescharacteristic
1677C22C2×#41×D5911yescharacteristic
1678C22C2×#41×D5911yescharacteristic
1679C22H(5,𝔽2)×D5911yescharacteristic
1680C22#1683823711yescharacteristic
1681C4—22no—
1682C4—22no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—594no—
1694C4—594no—
1695C4—1182no—
1696C4—1182no—
1697C4—1182no—
1698C4—1182no—
1699C4—2361no—
1700C4—2361no—
1701C4—2361no—
1702C4—2361no—
1703C4—2361no—
1704C4—2361no—
1705C4—2361no—
1706C2—24no—
1707C2—42no—
1708C2—42no—
1709C2—2362no—
1710C2—2362no—
1711C2—2362no—
1712C2#525×D5911yescharacteristic
1713C2C2×#1683793511yescharacteristic
1714C2#2143751511yescharacteristic
1715C2#546×D5911yescharacteristic
1716C2#2143758011yescharacteristic
1717C2#2143765111yescharacteristic
1718C2#2143769911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2480C2
prime radical#21427451C2
hypercenter#2480D59
hypocenterC59#34700
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. C2×#16837935C2semidirect
2. C22×(C22⋊D59)⋊C4C2semidirect
3. #21428342C2semidirect
4. #21428166C2semidirect
5. #21428158C2semidirect
6. #21428009C2semidirect
7. #21428001C2semidirect
8. #21427961C2semidirect
9. #21427876C2semidirect
10. #21427819C2semidirect
11. #21427745C2semidirect
12. #21427668C2semidirect
13. #21427583C2semidirect
14. #21427560C2semidirect
15. #21427558C2semidirect
16. #21427546C2semidirect
18. #21427358C2semidirect
19. #21427354C2semidirect
20. #21427341C2semidirect
21. #21427333C2semidirect
22. #21426637C2semidirect
23. #21426628C2semidirect
24. #21426608C2semidirect
25. #21426597C2semidirect
26. #21426595C2semidirect
27. #21426556C2semidirect
28. #21426478C2semidirect
29. #21426474C2semidirect
30. C4×(C22⋊D59)⋊C4C2semidirect
31. C59×#2480C2semidirect
36. C2×#14273721C22semidirect
37. C2×#14273717C22semidirect
40. C2×#14273712C22semidirect
41. C2×#14273709C22semidirect
42. C2×#14273705C22semidirect
48. C2×#14273692C22semidirect
49. C2×#14273689C22semidirect
50. C2×#14273689C22semidirect
63. C2×(C22⋊D59)⋊C4C22semidirect
64. C2×(C22⋊D59)⋊C4C22semidirect
65. C2×#14273685C22semidirect
66. C2×#14273685C22semidirect
67. C2×#14273683C22semidirect
68. C2×#14273683C22semidirect
72. C2×C42×D59C22semidirect
73. #16837343C22semidirect
74. #16837342C22semidirect
75. #16837338C22semidirect
76. #16837337C22semidirect
77. #16837336C22semidirect
78. #16837335C22semidirect
79. #16837333C22semidirect
80. #16837333C22semidirect
81. #16837331C22semidirect
82. #16837331C22semidirect
83. #16837331C22semidirect
84. #16837331C22semidirect
85. #16837330C22semidirect
86. #16837326C22semidirect
87. #16837326C22semidirect
88. #16837324C22semidirect
89. #16837320C22semidirect
90. #16837319C22semidirect
93. #16837318C22semidirect
98. #16837317C22semidirect
101. #16837306C22semidirect
102. #16837306C22semidirect
107. #16837299C22semidirect
108. #16837297C22semidirect
109. #16837297C22semidirect
110. #16837297C22semidirect
111. #16837296C22semidirect
112. #16837295C22semidirect
113. #16837293C22semidirect
114. #16837293C22semidirect
115. #16837293C22semidirect
116. #16837292C22semidirect
117. #16837291C22semidirect
118. #16837287C22semidirect
119. #16837283C22semidirect
121. #16837280C22semidirect
122. #16837280C22semidirect
123. #16837280C22semidirect
125. #16837279C22semidirect
126. #16837279C22semidirect
127. #16837278C22semidirect
130. #16837274C22semidirect
131. #16837274C22semidirect
132. #16837273C22semidirect
133. #16837273C22semidirect
134. #16837266C22semidirect
135. #16837264C22semidirect
136. #16837264C22semidirect
137. #16837263C22semidirect
138. #16837263C22semidirect
140. #16837261C22semidirect
144. #16837260C22semidirect
145. #16837260C22semidirect
146. #16837259C22semidirect
147. #16837259C22semidirect
152. C4⋊C4×Dic59C22semidirect
153. C4×Dic59⋊C4C22semidirect
154. #16837253C22semidirect
155. #16837253C22semidirect
156. #16837253C22semidirect
157. #16837253C22semidirect
162. C22⋊C4×Dic59C22semidirect
163. C22⋊C4×Dic59C22semidirect
164. C22⋊C4×Dic59C22semidirect
165. C22⋊C4×Dic59C22semidirect
166. C4×(C2×D59)⋊C4C22semidirect
167. #16837249C22semidirect
168. #16837249C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
171. #16837249C22semidirect
172. #16837249C22semidirect
173. C42×Dic59C22semidirect
174. C2×#126×C59C22semidirect
176. C59×#397C22semidirect
177. C59×#397C22semidirect
178. C59×#397C22semidirect
179. C59×#396C22semidirect
180. C59×#388C22semidirect
181. C59×#388C22semidirect
182. C59×#388C22semidirect
250. (C22⋊D59)⋊C4D4semidirect
792. C22×C59#529semidirect
850. #2480D59semidirect
896. C2×#126C2×D59semidirect
947. #397C2×D59semidirect
948. #397C2×D59semidirect
949. #397C2×D59semidirect
953. #396C2×D59semidirect
983. #388C2×D59semidirect
984. #388C2×D59semidirect
985. #388C2×D59semidirect
1048. C59#34700semidirect
1673. C22#16837935semidirect

Maximal subgroups

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

subgroupindex
C2×#168379352
C22×(C22⋊D59)⋊C42
#214283422
#214281662
#214281582
#214280092
#214280012
#214279612
#214278762
#214278192
#214277452
#214276682
#214275832
#214275602
#214275582
#214275462
#214274512
#214273582
#214273542
#214273412
#214273332
#214266372
#214266282
#214266082
#214265972
#214265952
#214265562
#214264782
#214264742
C4×(C22⋊D59)⋊C42
C59×#24802
#3470059