Finite Group Databasebeta

← #28754850

Subgroups — #28754850

Order 15104.

2488 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838145C211yesmaximal, characteristic
2#21427269C211yesmaximal, characteristic, complemented
3#21427266C211yesmaximal, characteristic, complemented
4#21427265C211yesmaximal, characteristic, complemented
5#21427170C211yesmaximal, characteristic, complemented
6#21427169C211yesmaximal, characteristic, complemented
7#21427166C211yesmaximal, characteristic, complemented
8#21427164C211yesmaximal, characteristic, complemented
9#21427162C211yesmaximal, characteristic, complemented
10#21427162C211yesmaximal, characteristic, complemented
11#21427080C211yesmaximal, characteristic, complemented
12#21427077C211yesmaximal, characteristic, complemented
13#21427076C211yesmaximal, characteristic, complemented
14#21427075C211yesmaximal, characteristic, complemented
15#21427075C211yesmaximal, characteristic, complemented
16#21427073C211yesmaximal, characteristic, complemented
17#21426907C211yesmaximal, characteristic, complemented
18#21426905C211yesmaximal, characteristic, complemented
19#21426905C211yesmaximal, characteristic, complemented
20#21426904C211yesmaximal, characteristic, complemented
21#21426903C211yesmaximal, characteristic, complemented
22#21426903C211yesmaximal, characteristic, complemented
23#21426759C211yesmaximal, characteristic, complemented
24#21426755C211yesmaximal, characteristic, complemented
25#21426752C211yesmaximal, characteristic, complemented
26#21426751C211yesmaximal, characteristic, complemented
27#21426751C211yesmaximal, characteristic, complemented
28#21426643C211yesmaximal, characteristic, complemented
29#21426637C211yesmaximal, characteristic, complemented
30C4×#14273713C211yesmaximal, characteristic, complemented
31C59×#2321C211yesmaximal, characteristic, complemented
32#16838145C4116yescomplemented
33C2×#14273714C2211yescharacteristic
34C2×#14273714C2211yescharacteristic
35C2×#14273714C2211yescharacteristic
36C2×#14273713C2211yescharacteristic
37C2×#14273713C2211yescharacteristic
38C2×#14273713C2211yescharacteristic
39C2×#14273713C2211yescharacteristic
40C2×#14273713C2211yescharacteristic
41C2×#14273713C2211yescharacteristic
42C2×#14273696C2211yescharacteristic
43C2×#14273696C2211yescharacteristic
44C2×#14273695C2211yescharacteristic
45C2×#14273695C2211yescharacteristic
46C2×#14273695C2211yescharacteristic
47C2×C4×Dic118C2211yescharacteristic, complemented
48C2×#14273692C2211yescharacteristic, complemented
49C2×#14273692C2211yescharacteristic, complemented
50C2×D4×Dic59C2211yescharacteristic
51C2×D4×Dic59C2211yescharacteristic
52C2×C4×C22⋊D59C2211yescharacteristic
53C2×C4×C22⋊D59C2211yescharacteristic
54C2×(C22⋊D59)⋊C4C2211yescharacteristic
55C2×(C22⋊D59)⋊C4C2211yescharacteristic
56C2×(C22⋊D59)⋊C4C2211yescharacteristic
57C2×(C22⋊D59)⋊C4C2211yescharacteristic
58C22×C22⋊Dic59C2211yescharacteristic, complemented
59C22×C22⋊Dic59C2211yescharacteristic, complemented
60C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
61C2×C22⋊C4×D59C2211yescharacteristic, complemented
62C2×C22⋊C4×D59C2211yescharacteristic, complemented
63#16837308C2211yescharacteristic, complemented
64#16837308C2211yescharacteristic, complemented
65#16837307C2211yescharacteristic, complemented
66#16837306C2211yescharacteristic, complemented
67#16837306C2211yescharacteristic, complemented
68#16837306C2211yescharacteristic, complemented
69#16837306C2211yescharacteristic, complemented
70#16837306C2211yescharacteristic, complemented
71#16837306C2211yescharacteristic, complemented
72#16837305C2211yescharacteristic
73#16837302C2211yescharacteristic
74#16837302C2211yescharacteristic
75#16837302C2211yescharacteristic
76#16837302C2211yescharacteristic
77#16837302C2211yescharacteristic
78#16837302C2211yescharacteristic
79#16837296C2211yescharacteristic, complemented
80#16837296C2211yescharacteristic, complemented
81#16837296C2211yescharacteristic, complemented
82#16837296C2211yescharacteristic, complemented
83#16837296C2211yescharacteristic, complemented
84#16837296C2211yescharacteristic, complemented
85#16837296C2211yescharacteristic, complemented
86#16837296C2211yescharacteristic, complemented
87#16837295C2211yescharacteristic, complemented
88#16837295C2211yescharacteristic, complemented
89#16837294C2211yescharacteristic, complemented
90#16837294C2211yescharacteristic, complemented
91#16837294C2211yescharacteristic, complemented
92#16837294C2211yescharacteristic, complemented
93#16837293C2211yescharacteristic, complemented
94#16837293C2211yescharacteristic, complemented
95#16837292C2211yescharacteristic, complemented
96#16837292C2211yescharacteristic, complemented
97#16837291C2211yescharacteristic, complemented
98#16837291C2211yescharacteristic, complemented
99#16837291C2211yescharacteristic, complemented
100#16837291C2211yescharacteristic, complemented
101#16837290C2211yescharacteristic, complemented
102#16837290C2211yescharacteristic, complemented
103#16837290C2211yescharacteristic, complemented
104#16837290C2211yescharacteristic, complemented
105#16837290C2211yescharacteristic, complemented
106#16837290C2211yescharacteristic, complemented
107#16837290C2211yescharacteristic, complemented
108#16837290C2211yescharacteristic, complemented
109#16837290C2211yescharacteristic, complemented
110#16837290C2211yescharacteristic, complemented
111#16837282C2211yescharacteristic
112#16837282C2211yescharacteristic
113#16837282C2211yescharacteristic
114#16837281C2211yescharacteristic
115#16837281C2211yescharacteristic
116#16837279C2211yescharacteristic
117#16837279C2211yescharacteristic
118#16837279C2211yescharacteristic
119#16837279C2211yescharacteristic
120#16837278C2211yescharacteristic
121#16837278C2211yescharacteristic
122#16837278C2211yescharacteristic
123#16837278C2211yescharacteristic
124#16837278C2211yescharacteristic
125#16837278C2211yescharacteristic
126#16837277C2211yescharacteristic, complemented
127#16837277C2211yescharacteristic, complemented
128#16837276C2211yescharacteristic, complemented
129#16837276C2211yescharacteristic, complemented
130#16837275C2211yescharacteristic, complemented
131#16837275C2211yescharacteristic, complemented
132#16837275C2211yescharacteristic, complemented
133#16837275C2211yescharacteristic, complemented
134#16837274C2211yescharacteristic, complemented
135#16837274C2211yescharacteristic, complemented
136#16837274C2211yescharacteristic, complemented
137#16837274C2211yescharacteristic, complemented
138#16837274C2211yescharacteristic, complemented
139#16837273C2211yescharacteristic, complemented
140#16837273C2211yescharacteristic, complemented
141#16837273C2211yescharacteristic, complemented
142#16837273C2211yescharacteristic, complemented
143#16837269C2211yescharacteristic, complemented
144#16837269C2211yescharacteristic, complemented
145#16837267C2211yescharacteristic, complemented
146#16837266C2211yescharacteristic, complemented
147#16837266C2211yescharacteristic, complemented
148#16837257C2211yescharacteristic, complemented
149C4⋊C4×Dic59C2211yescharacteristic, complemented
150C4⋊C4×Dic59C2211yescharacteristic, complemented
151C4×Dic59⋊C4C2211yescharacteristic, complemented
152C4×Dic59⋊C4C2211yescharacteristic, complemented
153#16837253C2211yescharacteristic, complemented
154#16837253C2211yescharacteristic, complemented
155C22⋊C4×Dic59C2211yescharacteristic, complemented
156C22⋊C4×Dic59C2211yescharacteristic, complemented
157C22⋊C4×Dic59C2211yescharacteristic, complemented
158C22⋊C4×Dic59C2211yescharacteristic, complemented
159C22⋊C4×Dic59C2211yescharacteristic, complemented
160C22⋊C4×Dic59C2211yescharacteristic, complemented
161C22⋊C4×Dic59C2211yescharacteristic, complemented
162C22⋊C4×Dic59C2211yescharacteristic, complemented
163C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
166C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
167C4×C22⋊Dic59C2211yescharacteristic, complemented
168C4×C22⋊Dic59C2211yescharacteristic, complemented
169C4×C22⋊Dic59C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172C42×Dic59C2211yescharacteristic, complemented
173C2×#120×C59C2211yescharacteristic
174C2×C4×D4×C59C2211yescharacteristic
175C22×C22⋊C4×C59C2211yescharacteristic, complemented
176C59×#390C2211yescharacteristic
177C59×#390C2211yescharacteristic
178C59×#388C2211yescharacteristic, complemented
179C59×#388C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic
184C59×#386C2211yescharacteristic
185C59×#385C2211yescharacteristic, complemented
186C59×#379C2211yescharacteristic, complemented
187C4×C22⋊C4×C59C2211yescharacteristic, complemented
188C24×D59C2311yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207#14273714C2×C418yescomplemented
208#14273714C2×C418yescomplemented
209#14273714C2×C418yescomplemented
210#14273713C2×C418yescomplemented
211#14273713C2×C418yescomplemented
212#14273713C2×C418yescomplemented
213#14273713C2×C418yescomplemented
214#14273713C2×C418yescomplemented
215#14273713C2×C418yescomplemented
216#14273696C2×C418yescomplemented
217#14273696C2×C418yescomplemented
218#14273695C2×C418yescomplemented
219#14273695C2×C418yescomplemented
220#14273695C2×C418yescomplemented
221C4×Dic118—42no—
222#14273692—42no—
223#14273692—42no—
224D4×Dic59—42no—
225D4×Dic59—42no—
226C4×C22⋊D59—42no—
227C4×C22⋊D59—42no—
228(C22⋊D59)⋊C4—42no—
229(C22⋊D59)⋊C4—42no—
230(C22⋊D59)⋊C4—42no—
231(C22⋊D59)⋊C4—42no—
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×C22⋊Dic59—42no—
248C2×C22⋊Dic59—42no—
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×(C2×D59)⋊C4—42no—
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
288C22⋊C4×D59—42no—
289C22⋊C4×D59—42no—
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
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
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C25×C59C2311yescharacteristic
339C22×D4×C59C2311yescharacteristic
340C22×D4×C59C2311yescharacteristic
341C22×D4×C59C2311yescharacteristic
342C23×C4×C59C2311yescharacteristic
343C23×C4×C59C2311yescharacteristic
344C23×C4×C59C2311yescharacteristic
345#120×C59C2×C418yescomplemented
346C4×D4×C59—42no—
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C4⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59—42no—
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×C59C2311yescharacteristic
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×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×C59—41no—
377C24×C59—41no—
378C24×C59—41no—
379C24×C59—41no—
380C24×C59—41no—
381C24×C59—41no—
382C24×C59C22×C414yes—
383C24×C59C2411yescharacteristic
384C24×C59C2411yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C23×D59—41no—
388C23×D59—41no—
389C23×D59—41no—
390C23×D59—41no—
391C23×D59—41no—
392C23×D59—41no—
393C23×D59C22×C414yes—
394C23×D59C2411yescharacteristic
395C23×D59C2411yescharacteristic
396C2×D4×C59—41no—
397C2×D4×C59—41no—
398C2×D4×C59—41no—
399C2×D4×C59—41no—
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—41no—
407C22×C4×C59—41no—
408C22×C4×C59—41no—
409C22×C4×C59—41no—
410C22×C4×C59—41no—
411C22×C4×C59—41no—
412C22×C4×C59—41no—
413C22×C4×C59—41no—
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C2×C22⋊D59—41no—
426C2×C22⋊D59—41no—
427C2×C22⋊D59—41no—
428C2×C22⋊D59—41no—
429C2×C22⋊D59—41no—
430C2×C22⋊D59—41no—
431C2×C22⋊D59—41no—
432C2×C22⋊D59—41no—
433C2×C22⋊D59—41no—
434C2×C22⋊D59—41no—
435C2×C22⋊D59—41no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59C22×C414yes—
438C2×C22⋊D59C22×C414yes—
439C2×C22⋊D59C22×C414yes—
440C2×C22⋊D59C22×C414yes—
441C2×C22⋊D59C22×C414yes—
442C2×C22⋊D59C22×C414yes—
443C22×Dic59—22no—
444C22×Dic59—22no—
445C22×Dic59—22no—
446C22×Dic59—41no—
447C22×Dic59—41no—
448C22×Dic59—41no—
449C22×Dic59—41no—
450C22×Dic59—41no—
451C22×Dic59—41no—
452C22×Dic59—41no—
453C22×Dic59—41no—
454C22×Dic59—41no—
455C22×Dic59—41no—
456C22×Dic59—41no—
457C22×Dic59—41no—
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C2×C4×D59—22no—
473C2×C4×D59—22no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×C4×D59—41no—
478C2×C4×D59—41no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×Dic118—41no—
485C2×Dic118—41no—
486C2×Dic118—41no—
487C2×Dic118—41no—
488C2×Dic118—41no—
489C2×Dic118—41no—
490C2×Dic118C22×C414yes—
491C2×Dic118C22×C414yes—
492C2×Dic118C22×C414yes—
493C4⋊C4×C59—22no—
494C4⋊C4×C59—41no—
495C4⋊C4×C59—41no—
496C22⋊C4×C59—22no—
497C22⋊C4×C59—22no—
498C22⋊C4×C59—22no—
499C22⋊C4×C59—41no—
500C22⋊C4×C59—41no—
501C22⋊C4×C59—41no—
502C22⋊C4×C59—41no—
503C22⋊C4×C59—41no—
504C22⋊C4×C59—41no—
505C22⋊C4×C59—41no—
506C22⋊C4×C59—41no—
507C22⋊C4×C59—41no—
508C22⋊C4×C59—41no—
509C22⋊C4×C59C22×C414yes—
510C22⋊C4×C59C22×C414yes—
511C22⋊C4×C59C22×C414yes—
512C42×C59—41no—
513C42×C59—41no—
514C42×C59—41no—
515C22⋊Dic59—22no—
516C22⋊Dic59—22no—
517C22⋊Dic59—22no—
518C22⋊Dic59—22no—
519C22⋊Dic59—22no—
520C22⋊Dic59—41no—
521C22⋊Dic59—41no—
522C22⋊Dic59—41no—
523C22⋊Dic59—41no—
524C22⋊Dic59—41no—
525C22⋊Dic59—41no—
526C22⋊Dic59C22×C414yes—
527C22⋊Dic59C22×C414yes—
528C22⋊Dic59C22×C414yes—
529C22⋊Dic59C22×C414yes—
530C22⋊Dic59C22×C414yes—
531C22⋊Dic59C22×C414yes—
532C22⋊Dic59C22×C414yes—
533C22⋊Dic59C22×C414yes—
534C22⋊Dic59C22×C414yes—
535(C2×D59)⋊C4—22no—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—22no—
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)⋊C4C22×C414yes—
548(C2×D59)⋊C4C22×C414yes—
549(C2×D59)⋊C4C22×C414yes—
550(C2×D59)⋊C4C22×C414yes—
551(C2×D59)⋊C4C22×C414yes—
552(C2×D59)⋊C4C22×C414yes—
553C4⋊Dic59—22no—
554C4⋊Dic59—41no—
555C4⋊Dic59—41no—
556Dic59⋊C4—22no—
557Dic59⋊C4—22no—
558Dic59⋊C4—22no—
559Dic59⋊C4—22no—
560Dic59⋊C4—41no—
561Dic59⋊C4—41no—
562Dic59⋊C4—41no—
563Dic59⋊C4—41no—
564Dic59⋊C4—41no—
565Dic59⋊C4—41no—
566Dic59⋊C4—41no—
567Dic59⋊C4—41no—
568C4×Dic59—22no—
569C4×Dic59—22no—
570C4×Dic59—22no—
571C4×Dic59—41no—
572C4×Dic59—41no—
573C4×Dic59—41no—
574C4×Dic59—41no—
575C4×Dic59—41no—
576C4×Dic59—41no—
577C4×Dic59—41no—
578C4×Dic59—41no—
579C4×Dic59—41no—
580C4×Dic59—41no—
581C4×Dic59—41no—
582C4×Dic59—41no—
583C4×Dic59C22×C414yes—
584C4×Dic59C22×C414yes—
585C4×Dic59C22×C414yes—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×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×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—44no—
611C23×C59—44no—
612C23×C59—44no—
613C23×C59—82no—
614C23×C59—82no—
615C23×C59—82no—
616C23×C59—82no—
617C23×C59C23×C412yes—
618C23×C59C23×C412yes—
619C23×C59C23×C412yes—
620C23×C59C23×C412yes—
621C23×C59C2511yescharacteristic
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—44no—
635C22×D59—44no—
636C22×D59—44no—
637C22×D59—82no—
638C22×D59—82no—
639C22×D59—82no—
640C22×D59—82no—
641C22×D59C23×C412yes—
642C22×D59C23×C412yes—
643D4×C59—44no—
644D4×C59—44no—
645D4×C59—44no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—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—82no—
676C2×C4×C59—82no—
677C2×C4×C59—82no—
678C2×C4×C59C23×C412yes—
679C2×C4×C59C23×C412yes—
680C2×C4×C59C23×C412yes—
681C2×C4×C59H(5,𝔽2)12yes—
682C22⋊D59—44no—
683C22⋊D59—44no—
684C22⋊D59—44no—
685C22⋊D59—44no—
686C22⋊D59—44no—
687C22⋊D59—44no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—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—82no—
723C2×Dic59—82no—
724C2×Dic59—82no—
725C2×Dic59—82no—
726C2×Dic59—82no—
727C2×Dic59C23×C412yes—
728C2×Dic59C23×C412yes—
729C2×Dic59C23×C412yes—
730C2×Dic59C23×C412yes—
731C2×Dic59C23×C412yes—
732C2×Dic59C23×C412yes—
733C2×Dic59H(5,𝔽2)12yes—
734C2×Dic59H(5,𝔽2)12yes—
735C4×D59—82no—
736C4×D59—82no—
737C4×D59—82no—
738C4×D59—82no—
739Dic118—44no—
740Dic118—44no—
741Dic118—44no—
742#34529—591nomaximal, Sylow
743C22×C59—22no—
744C22×C59—22no—
745C22×C59—22no—
746C22×C59—22no—
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—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—41no—
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—41no—
768C22×C59—41no—
769C22×C59—41no—
770C22×C59—41no—
771C22×C59—88no—
772C22×C59C24×C411yescharacteristic
773C22×C59C2×H(5,𝔽2)11yescharacteristic
774C22×C59C2×H(5,𝔽2)11yescharacteristic
775C22×C59C2×H(5,𝔽2)11yescharacteristic
776C22×C59#58511yescharacteristic
777C22×C59#58511yescharacteristic
778C22×C59#58511yescharacteristic
779C2×D59—22no—
780C2×D59—22no—
781C2×D59—22no—
782C2×D59—22no—
783C2×D59—22no—
784C2×D59—22no—
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—88no—
794C4×C59—22no—
795C4×C59—22no—
796C4×C59—22no—
797C4×C59—22no—
798C4×C59—41no—
799C4×C59—41no—
800C4×C59—41no—
801C4×C59—41no—
802C4×C59—41no—
803C4×C59—41no—
804C4×C59—41no—
805Dic59—22no—
806Dic59—22no—
807Dic59—22no—
808Dic59—22no—
809Dic59—22no—
810Dic59—22no—
811Dic59—22no—
812Dic59—22no—
813Dic59—41no—
814Dic59—41no—
815Dic59—41no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819C2×H(3,𝔽4)—591no—
820#2379—591no—
821#2379—591no—
822#2379—591no—
823#2367—591no—
824#2367—591no—
825#2367—591no—
826#2367—591no—
827#2367—591no—
828#2367—591no—
829#2358—591no—
830#2358—591no—
831#2358—591no—
832#2358—591no—
833#2358—591no—
834#2358—591no—
835#2337—591no—
836#2337—591no—
837#2337—591no—
838#2337—591no—
839#2337—591no—
840#2337—591no—
841#2321—591no—
842#2321—591no—
843#2321—591no—
844#2321—591no—
845#2321—591no—
846#2321D5911yescharacteristic, complemented
847C4×#124—591no—
848C4×#124—591no—
849C4×#124—591no—
850C2×C59—42no—
851C2×C59—42no—
852C2×C59—42no—
853C2×C59—42no—
854C2×C59C4×H(5,𝔽2)11yescharacteristic
855C2×C59C4×H(5,𝔽2)11yescharacteristic
856C2×C59C4×H(5,𝔽2)11yescharacteristic
857C2×C59#355811yescharacteristic
858C2×C59#355811yescharacteristic
859C2×C59#355811yescharacteristic
860C2×C59#356811yescharacteristic
861D59—42no—
862D59—42no—
863H(3,𝔽4)—5916no—
864C2×#124—591no—
865C2×#124—591no—
866C2×#124—591no—
867C2×#124—591no—
868C2×#124—591no—
869C2×#124—591no—
870C2×#124—591no—
871C2×#124—591no—
872C2×#124—591no—
873C2×#120—591no—
874C2×#120—591no—
875C2×#120—591no—
876C2×#120—591no—
877C2×#120—591no—
878C2×#120C2×D5911yescharacteristic
879C2×C4×Q8—591no—
880C2×C4×Q8—591no—
881C2×C4×Q8—591no—
882C2×C4×D4—591no—
883C2×C4×D4—591no—
884C2×C4×D4—591no—
885C2×C4×D4—591no—
886C2×C4×D4—591no—
887C2×C4×D4—591no—
888C2×C4×D4—591no—
889C2×C4×D4—591no—
890C2×C4×D4C2×D5911yescharacteristic
891C22×C22⋊C4—591no—
892C22×C22⋊C4—591no—
893C22×C22⋊C4—591no—
894C22×C22⋊C4—591no—
895C22×C22⋊C4—591no—
896C22×C22⋊C4C2×D5911yescharacteristic, complemented
897#391—591no—
898#391—591no—
899#391—591no—
900#391—591no—
901#391—591no—
902#391—591no—
903#391—591no—
904#391—591no—
905#391—591no—
906#390—591no—
907#390—591no—
908#390—591no—
909#390—591no—
910#390—591no—
911#390—591no—
912#390—591no—
913#390C2×D5911yescharacteristic
914#390C2×D5911yescharacteristic
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#388—591no—
942#388—591no—
943#388—591no—
944#388—591no—
945#388—591no—
946#388—591no—
947#388C2×D5911yescharacteristic, complemented
948#388C2×D5911yescharacteristic, complemented
949#388C2×D5911yescharacteristic, complemented
950#388C2×D5911yescharacteristic, complemented
951#386—591no—
952#386—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#386C2×D5911yescharacteristic
967#386C2×D5911yescharacteristic
968#386C2×D5911yescharacteristic
969#385—591no—
970#385—591no—
971#385—591no—
972#385—591no—
973#385—591no—
974#385—591no—
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#385—591no—
984#385—591no—
985#385—591no—
986#385C2×D5911yescharacteristic, complemented
987#383—591no—
988#383—591no—
989#382—591no—
990#382—591no—
991#382—591no—
992#379—591no—
993#379C2×D5911yescharacteristic, complemented
994C4×C4⋊C4—591no—
995C4×C4⋊C4—591no—
996C4×C4⋊C4—591no—
997C4×C4⋊C4—591no—
998C4×C4⋊C4—591no—
999C4×C4⋊C4—591no—
1000C4×C22⋊C4—591no—
1001C4×C22⋊C4—591no—
1002C4×C22⋊C4—591no—
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⋊C4—591no—
1017C4×C22⋊C4C2×D5911yescharacteristic, complemented
1018C43—591no—
1019C59#3452911yescharacteristic, complemented, Sylow
1020C25—591no—
1021C25C22×D5911yescharacteristic
1022C22×Q8—591no—
1023C22×Q8—591no—
1024C22×Q8—591no—
1025C22×D4—591no—
1026C22×D4—591no—
1027C22×D4—591no—
1028C22×D4—591no—
1029C22×D4—591no—
1030C22×D4—591no—
1031C22×D4C22×D5911yescharacteristic
1032C22×D4C22×D5911yescharacteristic
1033C22×D4C22×D5911yescharacteristic
1034C23×C4—591no—
1035C23×C4—591no—
1036C23×C4—591no—
1037C23×C4—591no—
1038C23×C4—591no—
1039C23×C4—591no—
1040C23×C4—591no—
1041C23×C4—591no—
1042C23×C4—591no—
1043C23×C4C22×D5911yescharacteristic
1044C23×C4C22×D5911yescharacteristic
1045C23×C4C22×D5911yescharacteristic
1046#124—598no—
1047#124—598no—
1048#124—598no—
1049#124—598no—
1050#124—598no—
1051#124—598no—
1052#124—598no—
1053#124—598no—
1054#124—598no—
1055#120—598no—
1056#120—598no—
1057#120—598no—
1058#120—598no—
1059#120—598no—
1060#120C4×D5918yescomplemented
1061C4×Q8—2362no—
1062C4×Q8—2362no—
1063C4×Q8—2362no—
1064C4×D4—42no—
1065C4×D4—2362no—
1066C4×D4—2362no—
1067C4×D4—2362no—
1068C4×D4—2362no—
1069C4×D4—2362no—
1070C4×D4—2362no—
1071C4×D4—2362no—
1072C4×D4—2362no—
1073C2×C4⋊C4—591no—
1074C2×C4⋊C4—591no—
1075C2×C4⋊C4—591no—
1076C2×C4⋊C4—591no—
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⋊C4C22×D5911yescharacteristic
1089C2×C4⋊C4C22×D5911yescharacteristic
1090C2×C4⋊C4C22×D5911yescharacteristic
1091C2×C22⋊C4—42no—
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊C4—591no—
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—591no—
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—591no—
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—2362no—
1131C2×C22⋊C4—2362no—
1132C2×C22⋊C4—2362no—
1133C2×C22⋊C4—2362no—
1134C2×C22⋊C4—2362no—
1135C2×C22⋊C4C22×D5911yescharacteristic
1136C2×C22⋊C4C22×D5911yescharacteristic
1137C2×C22⋊C4C22×D5911yescharacteristic
1138C2×C22⋊C4C22×D5911yescharacteristic
1139C2×C22⋊C4C22×D5911yescharacteristic
1140C2×C22⋊C4C22×D5911yescharacteristic
1141C2×C22⋊C4C22×D5911yescharacteristic
1142C2×C22⋊C4C22×D5911yescharacteristic
1143C2×C22⋊C4C22×D5911yescharacteristic
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×C42—591no—
1152C2×C42—591no—
1153C2×C42—591no—
1154C2×C42—591no—
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×C42—591no—
1167C2×C42—591no—
1168C2×C42—591no—
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#95C22×D5911yescharacteristic
1203#95C22×D5911yescharacteristic
1204#95C22×D5911yescharacteristic
1205#95C22×D5911yescharacteristic
1206#95C22×D5911yescharacteristic
1207#95C22×D5911yescharacteristic
1208C24—41no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24—41no—
1214C24—591no—
1215C24—591no—
1216C24—594no—
1217C24—2361no—
1218C24—2361no—
1219C24—2361no—
1220C24—2361no—
1221C24—2361no—
1222C24—2361no—
1223C24C2×C4×D5914yes—
1224C24C23×D5911yescharacteristic
1225C24C23×D5911yescharacteristic
1226C24C23×D5911yescharacteristic
1227C24C23×D5911yescharacteristic
1228C2×Q8—594no—
1229C2×Q8—594no—
1230C2×Q8—594no—
1231C2×Q8—2361no—
1232C2×Q8—2361no—
1233C2×Q8—2361no—
1234C2×Q8—2361no—
1235C2×Q8—2361no—
1236C2×Q8—2361no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—594no—
1244C2×D4—594no—
1245C2×D4—594no—
1246C2×D4—594no—
1247C2×D4—594no—
1248C2×D4—594no—
1249C2×D4—2361no—
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—2361no—
1261C2×D4C2×C4×D5914yes—
1262C2×D4C2×C4×D5914yes—
1263C2×D4C2×C4×D5914yes—
1264C22×C4—22no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—591no—
1274C22×C4—591no—
1275C22×C4—591no—
1276C22×C4—591no—
1277C22×C4—591no—
1278C22×C4—591no—
1279C22×C4—591no—
1280C22×C4—591no—
1281C22×C4—591no—
1282C22×C4—591no—
1283C22×C4—591no—
1284C22×C4—591no—
1285C22×C4—591no—
1286C22×C4—591no—
1287C22×C4—1182no—
1288C22×C4—1182no—
1289C22×C4—1182no—
1290C22×C4—1182no—
1291C22×C4—1182no—
1292C22×C4—2361no—
1293C22×C4—2361no—
1294C22×C4—2361no—
1295C22×C4—2361no—
1296C22×C4—2361no—
1297C22×C4—2361no—
1298C22×C4—2361no—
1299C22×C4—2361no—
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×C4C23×D5911yescharacteristic
1315C22×C4C23×D5911yescharacteristic
1316C22×C4C23×D5911yescharacteristic
1317C22×C4C23×D5911yescharacteristic
1318C22×C4C23×D5911yescharacteristic
1319C22×C4C23×D5911yescharacteristic
1320C22×C4C23×D5911yescharacteristic
1321C22×C4C23×D5911yescharacteristic
1322C22×C4C23×D5911yescharacteristic
1323C22×C4C23×D5911yescharacteristic
1324C22×C4C23×D5911yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—1182no—
1329C4⋊C4—1182no—
1330C4⋊C4—1182no—
1331C4⋊C4—1182no—
1332C4⋊C4—1182no—
1333C4⋊C4—2361no—
1334C4⋊C4—2361no—
1335C4⋊C4—2361no—
1336C4⋊C4—2361no—
1337C4⋊C4—2361no—
1338C4⋊C4—2361no—
1339C4⋊C4—2361no—
1340C4⋊C4—2361no—
1341C4⋊C4—2361no—
1342C4⋊C4—2361no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—594no—
1357C22⋊C4—594no—
1358C22⋊C4—594no—
1359C22⋊C4—594no—
1360C22⋊C4—594no—
1361C22⋊C4—594no—
1362C22⋊C4—594no—
1363C22⋊C4—594no—
1364C22⋊C4—594no—
1365C22⋊C4—594no—
1366C22⋊C4—594no—
1367C22⋊C4—594no—
1368C22⋊C4—594no—
1369C22⋊C4—594no—
1370C22⋊C4—594no—
1371C22⋊C4—1182no—
1372C22⋊C4—1182no—
1373C22⋊C4—1182no—
1374C22⋊C4—1182no—
1375C22⋊C4—1182no—
1376C22⋊C4—1182no—
1377C22⋊C4—1182no—
1378C22⋊C4—1182no—
1379C22⋊C4—1182no—
1380C22⋊C4—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⋊C4C2×C4×D5914yes—
1395C22⋊C4C2×C4×D5914yes—
1396C22⋊C4C2×C4×D5914yes—
1397C42—41no—
1398C42—41no—
1399C42—41no—
1400C42—594no—
1401C42—594no—
1402C42—594no—
1403C42—1182no—
1404C42—1182no—
1405C42—1182no—
1406C42—2361no—
1407C42—2361no—
1408C42—2361no—
1409C42—2361no—
1410C42—2361no—
1411C42—2361no—
1412C42—2361no—
1413C42—2361no—
1414C42—2361no—
1415C42—2361no—
1416C42—2361no—
1417C42—2361no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
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—21no—
1441C23—21no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—82no—
1446C23—82no—
1447C23—82no—
1448C23—82no—
1449C23—592no—
1450C23—592no—
1451C23—1181no—
1452C23—1181no—
1453C23—1181no—
1454C23—1181no—
1455C23—1181no—
1456C23—1181no—
1457C23—1181no—
1458C23—1181no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—1181no—
1463C23—4722no—
1464C23—4722no—
1465C23—4722no—
1466C23—4722no—
1467C23—2364no—
1468C23—2364no—
1469C23—2364no—
1470C23C22×C4×D5912yes—
1471C23C22×C4×D5912yes—
1472C23C22×C4×D5912yes—
1473C23C22×C4×D5912yes—
1474C23C24×D5911yescharacteristic
1475Q8—2364no—
1476Q8—2364no—
1477Q8—2364no—
1478D4—44no—
1479D4—44no—
1480D4—44no—
1481D4—2364no—
1482D4—2364no—
1483D4—2364no—
1484D4—2364no—
1485D4—2364no—
1486D4—2364no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
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—82no—
1517C2×C4—82no—
1518C2×C4—82no—
1519C2×C4—592no—
1520C2×C4—592no—
1521C2×C4—592no—
1522C2×C4—592no—
1523C2×C4—592no—
1524C2×C4—592no—
1525C2×C4—592no—
1526C2×C4—592no—
1527C2×C4—1181no—
1528C2×C4—1181no—
1529C2×C4—1181no—
1530C2×C4—1181no—
1531C2×C4—1181no—
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—1181no—
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—4722no—
1562C2×C4—4722no—
1563C2×C4—4722no—
1564C2×C4—4722no—
1565C2×C4—4722no—
1566C2×C4—4722no—
1567C2×C4—4722no—
1568C2×C4—4722no—
1569C2×C4—4722no—
1570C2×C4C22×C4×D5912yes—
1571C2×C4C22×C4×D5912yes—
1572C2×C4C22×C4×D5912yes—
1573C2×C4#1427377212yes—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—88no—
1603C22—1182no—
1604C22—1182no—
1605C22—1182no—
1606C22—1182no—
1607C22—1182no—
1608C22—1182no—
1609C22—4728no—
1610C22—2361no—
1611C22—2361no—
1612C22—2361no—
1613C22—2361no—
1614C22—2361no—
1615C22—2361no—
1616C22—2361no—
1617C22—2361no—
1618C22C23×C4×D5911yescharacteristic
1619C22H(5,𝔽2)×D5911yescharacteristic
1620C22H(5,𝔽2)×D5911yescharacteristic
1621C22C2×#1427377211yescharacteristic
1622C22#1683823711yescharacteristic
1623C22#1683823711yescharacteristic
1624C22#1683823811yescharacteristic
1625C4—22no—
1626C4—22no—
1627C4—22no—
1628C4—22no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—1182no—
1637C4—1182no—
1638C4—1182no—
1639C4—1182no—
1640C4—1182no—
1641C4—1182no—
1642C4—1182no—
1643C4—1182no—
1644C4—2361no—
1645C4—2361no—
1646C4—2361no—
1647C4—2361no—
1648C4—2361no—
1649C4—2361no—
1650C2—42no—
1651C2—42no—
1652C2—42no—
1653C2—42no—
1654C2—2362no—
1655C2—2362no—
1656C2#2143730011yescharacteristic
1657C2#2143730011yescharacteristic
1658C2C4×#1427377211yescharacteristic
1659C2#2143860711yescharacteristic
1660C2#2143860811yescharacteristic
1661C2#2143861411yescharacteristic
1662C2#2143878911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutatorC22×C59C24×C4
FittingC59×#2321C2
socle, cosocleC23×C59C25
prime radicalC2×#16838145C2
hypercenter#2321D59
hypocenterC59#34529
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
2. #21427269C2semidirect
3. #21427266C2semidirect
4. #21427265C2semidirect
5. #21427170C2semidirect
6. #21427169C2semidirect
7. #21427166C2semidirect
8. #21427164C2semidirect
9. #21427162C2semidirect
10. #21427162C2semidirect
11. #21427080C2semidirect
12. #21427077C2semidirect
13. #21427076C2semidirect
14. #21427075C2semidirect
15. #21427075C2semidirect
16. #21427073C2semidirect
17. #21426907C2semidirect
18. #21426905C2semidirect
19. #21426905C2semidirect
20. #21426904C2semidirect
21. #21426903C2semidirect
22. #21426903C2semidirect
23. #21426759C2semidirect
24. #21426755C2semidirect
25. #21426752C2semidirect
26. #21426751C2semidirect
27. #21426751C2semidirect
28. #21426643C2semidirect
29. #21426637C2semidirect
30. C4×#14273713C2semidirect
31. C59×#2321C2semidirect
32. #16838145C4semidirect
47. C2×C4×Dic118C22semidirect
48. C2×#14273692C22semidirect
49. C2×#14273692C22semidirect
58. C22×C22⋊Dic59C22semidirect
59. C22×C22⋊Dic59C22semidirect
60. C22×(C2×D59)⋊C4C22semidirect
61. C2×C22⋊C4×D59C22semidirect
62. C2×C22⋊C4×D59C22semidirect
63. #16837308C22semidirect
64. #16837308C22semidirect
65. #16837307C22semidirect
66. #16837306C22semidirect
67. #16837306C22semidirect
68. #16837306C22semidirect
69. #16837306C22semidirect
70. #16837306C22semidirect
71. #16837306C22semidirect
79. #16837296C22semidirect
80. #16837296C22semidirect
81. #16837296C22semidirect
82. #16837296C22semidirect
83. #16837296C22semidirect
84. #16837296C22semidirect
85. #16837296C22semidirect
86. #16837296C22semidirect
87. #16837295C22semidirect
88. #16837295C22semidirect
89. #16837294C22semidirect
90. #16837294C22semidirect
91. #16837294C22semidirect
92. #16837294C22semidirect
93. #16837293C22semidirect
94. #16837293C22semidirect
95. #16837292C22semidirect
96. #16837292C22semidirect
97. #16837291C22semidirect
98. #16837291C22semidirect
99. #16837291C22semidirect
100. #16837291C22semidirect
101. #16837290C22semidirect
102. #16837290C22semidirect
103. #16837290C22semidirect
104. #16837290C22semidirect
105. #16837290C22semidirect
106. #16837290C22semidirect
107. #16837290C22semidirect
108. #16837290C22semidirect
109. #16837290C22semidirect
110. #16837290C22semidirect
126. #16837277C22semidirect
127. #16837277C22semidirect
128. #16837276C22semidirect
129. #16837276C22semidirect
130. #16837275C22semidirect
131. #16837275C22semidirect
132. #16837275C22semidirect
133. #16837275C22semidirect
134. #16837274C22semidirect
135. #16837274C22semidirect
136. #16837274C22semidirect
137. #16837274C22semidirect
138. #16837274C22semidirect
139. #16837273C22semidirect
140. #16837273C22semidirect
141. #16837273C22semidirect
142. #16837273C22semidirect
143. #16837269C22semidirect
144. #16837269C22semidirect
145. #16837267C22semidirect
146. #16837266C22semidirect
147. #16837266C22semidirect
148. #16837257C22semidirect
149. C4⋊C4×Dic59C22semidirect
150. C4⋊C4×Dic59C22semidirect
151. C4×Dic59⋊C4C22semidirect
152. C4×Dic59⋊C4C22semidirect
153. #16837253C22semidirect
154. #16837253C22semidirect
155. C22⋊C4×Dic59C22semidirect
156. C22⋊C4×Dic59C22semidirect
157. C22⋊C4×Dic59C22semidirect
158. C22⋊C4×Dic59C22semidirect
159. C22⋊C4×Dic59C22semidirect
160. C22⋊C4×Dic59C22semidirect
161. C22⋊C4×Dic59C22semidirect
162. C22⋊C4×Dic59C22semidirect
163. C4×(C2×D59)⋊C4C22semidirect
164. C4×(C2×D59)⋊C4C22semidirect
165. C4×(C2×D59)⋊C4C22semidirect
166. C4×(C2×D59)⋊C4C22semidirect
167. C4×C22⋊Dic59C22semidirect
168. C4×C22⋊Dic59C22semidirect
169. C4×C22⋊Dic59C22semidirect
170. #16837249C22semidirect
171. #16837249C22semidirect
172. C42×Dic59C22semidirect
175. C22×C22⋊C4×C59C22semidirect
178. C59×#388C22semidirect
179. C59×#388C22semidirect
180. C59×#388C22semidirect
181. C59×#388C22semidirect
185. C59×#385C22semidirect
186. C59×#379C22semidirect
187. C4×C22⋊C4×C59C22semidirect
207. #14273714C2×C4semidirect
208. #14273714C2×C4semidirect
209. #14273714C2×C4semidirect
210. #14273713C2×C4semidirect
211. #14273713C2×C4semidirect
212. #14273713C2×C4semidirect
213. #14273713C2×C4semidirect
214. #14273713C2×C4semidirect
215. #14273713C2×C4semidirect
216. #14273696C2×C4semidirect
217. #14273696C2×C4semidirect
218. #14273695C2×C4semidirect
219. #14273695C2×C4semidirect
220. #14273695C2×C4semidirect
345. #120×C59C2×C4semidirect
846. #2321D59semidirect
896. C22×C22⋊C4C2×D59semidirect
947. #388C2×D59semidirect
948. #388C2×D59semidirect
949. #388C2×D59semidirect
950. #388C2×D59semidirect
986. #385C2×D59semidirect
993. #379C2×D59semidirect
1017. C4×C22⋊C4C2×D59semidirect
1019. C59#34529semidirect
1060. #120C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168381452
#214272692
#214272662
#214272652
#214271702
#214271692
#214271662
#214271642
#214271622
#214270802
#214270772
#214270762
#214270752
#214270732
#214269072
#214269052
#214269042
#214269032
#214267592
#214267552
#214267522
#214267512
#214266432
#214266372
C4×#142737132
C59×#23212
#3452959