Finite Group Databasebeta

← #29451790

Subgroups — #29451790

Order 15104.

2288 conjugacy classes of subgroups.

The subgroup lattice has 1704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21431310C211yesmaximal, characteristic, complemented
2#21430746C211yesmaximal, characteristic, complemented
3#21430733C211yesmaximal, characteristic, complemented
4#21430310C211yesmaximal, characteristic, complemented
5#21429705C211yesmaximal, characteristic, complemented
6#21429701C211yesmaximal, characteristic, complemented
7#21429541C211yesmaximal, characteristic, complemented
8#21429540C211yesmaximal, characteristic, complemented
9#21429200C211yesmaximal, characteristic, complemented
10#21429191C211yesmaximal, characteristic, complemented
11#21429024C211yesmaximal, characteristic, complemented
12#21428727C211yesmaximal, characteristic, complemented
13#21428723C211yesmaximal, characteristic, complemented
14#21428203C211yesmaximal, characteristic, complemented
15#21428200C211yesmaximal, characteristic, complemented
16#21428107C211yesmaximal, characteristic, complemented
17#21428095C211yesmaximal, characteristic, complemented
18#21427994C211yesmaximal, characteristic, complemented
19#21427993C211yesmaximal, characteristic, complemented
20#21427710C211yesmaximal, characteristic, complemented
21#21427412C211yesmaximal, characteristic, complemented
22#21427232C211yesmaximal, characteristic, complemented
23#21427231C211yesmaximal, characteristic, complemented
24#21427157C211yesmaximal, characteristic, complemented
25#21427080C211yesmaximal, characteristic, complemented
26#21427075C211yesmaximal, characteristic, complemented
27#21427075C211yesmaximal, characteristic, complemented
28#21426612C211yesmaximal, characteristic, complemented
29C4×#14273700C211yesmaximal, characteristic, complemented
30#21426583C211yesmaximal, characteristic, complemented
31C59×#2539C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C2×#14273723C2211yescharacteristic
34C2×#14273713C2211yescharacteristic, complemented
35C2×#14273711C2211yescharacteristic
36C2×#14273709C2211yescharacteristic, complemented
37C2×#14273708C2211yescharacteristic
38C2×#14273708C2211yescharacteristic, complemented
39C2×#14273700C2211yescharacteristic
40C2×#14273699C2211yescharacteristic
41C2×#14273699C2211yescharacteristic, complemented
42C2×#14273698C2211yescharacteristic
43C2×#14273696C2211yescharacteristic
44C2×#14273696C2211yescharacteristic
45C2×C4×D236C2211yescharacteristic, complemented
46C2×D4×Dic59C2211yescharacteristic
47C2×D4×Dic59C2211yescharacteristic
48C2×C4×C22⋊D59C2211yescharacteristic
49C2×C4×C22⋊D59C2211yescharacteristic
50C2×(C22⋊D59)⋊C4C2211yescharacteristic
51C2×(C22⋊D59)⋊C4C2211yescharacteristic
52C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
53C2×#14273685C2211yescharacteristic, complemented
54C22×C22⋊Dic59C2211yescharacteristic
55C22×C22⋊Dic59C2211yescharacteristic
56C2×C42×D59C2211yescharacteristic, complemented
57#16837344C2211yescharacteristic, complemented
58#16837340C2211yescharacteristic, complemented
59#16837338C2211yescharacteristic
60#16837338C2211yescharacteristic
61#16837336C2211yescharacteristic, complemented
62#16837332C2211yescharacteristic, complemented
63#16837330C2211yescharacteristic, complemented
64#16837328C2211yescharacteristic, complemented
65#16837328C2211yescharacteristic, complemented
66#16837327C2211yescharacteristic, complemented
67#16837324C2211yescharacteristic, complemented
68#16837324C2211yescharacteristic, complemented
69#16837318C2211yescharacteristic
70#16837318C2211yescharacteristic, complemented
71#16837316C2211yescharacteristic
72#16837316C2211yescharacteristic, complemented
73#16837314C2211yescharacteristic
74#16837314C2211yescharacteristic
75#16837311C2211yescharacteristic
76#16837311C2211yescharacteristic, complemented
77#16837310C2211yescharacteristic
78#16837310C2211yescharacteristic
79#16837310C2211yescharacteristic
80#16837310C2211yescharacteristic
81#16837310C2211yescharacteristic
82#16837310C2211yescharacteristic
83#16837310C2211yescharacteristic
84#16837310C2211yescharacteristic, complemented
85#16837308C2211yescharacteristic, complemented
86#16837307C2211yescharacteristic, complemented
87#16837306C2211yescharacteristic, complemented
88#16837305C2211yescharacteristic
89#16837305C2211yescharacteristic
90#16837305C2211yescharacteristic
91#16837303C2211yescharacteristic, complemented
92#16837302C2211yescharacteristic
93#16837302C2211yescharacteristic
94#16837302C2211yescharacteristic
95#16837302C2211yescharacteristic
96#16837302C2211yescharacteristic, complemented
97#16837300C2211yescharacteristic, complemented
98#16837299C2211yescharacteristic, complemented
99#16837296C2211yescharacteristic
100#16837296C2211yescharacteristic
101#16837296C2211yescharacteristic
102#16837296C2211yescharacteristic, complemented
103#16837296C2211yescharacteristic, complemented
104#16837296C2211yescharacteristic, complemented
105#16837295C2211yescharacteristic
106#16837295C2211yescharacteristic
107#16837295C2211yescharacteristic
108#16837295C2211yescharacteristic, complemented
109#16837295C2211yescharacteristic, complemented
110#16837295C2211yescharacteristic, complemented
111#16837292C2211yescharacteristic, complemented
112#16837292C2211yescharacteristic, complemented
113#16837291C2211yescharacteristic, complemented
114#16837290C2211yescharacteristic
115#16837290C2211yescharacteristic
116#16837290C2211yescharacteristic, complemented
117#16837288C2211yescharacteristic, complemented
118#16837288C2211yescharacteristic, complemented
119#16837288C2211yescharacteristic, complemented
120#16837286C2211yescharacteristic, complemented
121#16837285C2211yescharacteristic, complemented
122#16837283C2211yescharacteristic, complemented
123#16837283C2211yescharacteristic, complemented
124#16837283C2211yescharacteristic, complemented
125#16837282C2211yescharacteristic
126#16837282C2211yescharacteristic
127#16837282C2211yescharacteristic
128#16837282C2211yescharacteristic
129#16837282C2211yescharacteristic
130#16837282C2211yescharacteristic
131#16837281C2211yescharacteristic
132#16837281C2211yescharacteristic
133#16837280C2211yescharacteristic, complemented
134#16837279C2211yescharacteristic
135#16837279C2211yescharacteristic
136#16837279C2211yescharacteristic
137#16837279C2211yescharacteristic, complemented
138#16837278C2211yescharacteristic
139#16837278C2211yescharacteristic
140#16837278C2211yescharacteristic
141#16837278C2211yescharacteristic
142#16837278C2211yescharacteristic
143#16837278C2211yescharacteristic, complemented
144#16837278C2211yescharacteristic, complemented
145#16837278C2211yescharacteristic, complemented
146#16837278C2211yescharacteristic, complemented
147#16837277C2211yescharacteristic
148#16837277C2211yescharacteristic
149#16837275C2211yescharacteristic
150#16837275C2211yescharacteristic
151#16837274C2211yescharacteristic
152#16837274C2211yescharacteristic
153#16837263C2211yescharacteristic
154#16837261C2211yescharacteristic, complemented
155#16837259C2211yescharacteristic, complemented
156C4⋊C4×Dic59C2211yescharacteristic, complemented
157C4⋊C4×Dic59C2211yescharacteristic, complemented
158C4×Dic59⋊C4C2211yescharacteristic, complemented
159C4×Dic59⋊C4C2211yescharacteristic, complemented
160C22⋊C4×Dic59C2211yescharacteristic
161C22⋊C4×Dic59C2211yescharacteristic
162C22⋊C4×Dic59C2211yescharacteristic
163C22⋊C4×Dic59C2211yescharacteristic
164C22⋊C4×Dic59C2211yescharacteristic
165C22⋊C4×Dic59C2211yescharacteristic, complemented
166C22⋊C4×Dic59C2211yescharacteristic, complemented
167C22⋊C4×Dic59C2211yescharacteristic, complemented
168C22⋊C4×Dic59C2211yescharacteristic, complemented
169C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
170C4×C22⋊Dic59C2211yescharacteristic
171C4×C22⋊Dic59C2211yescharacteristic
172C2×#123×C59C2211yescharacteristic
173C2×#123×C59C2211yescharacteristic
174C2×#121×C59C2211yescharacteristic
175C2×#120×C59C2211yescharacteristic
176C2×#120×C59C2211yescharacteristic
177C22×C22⋊C4×C59C2211yescharacteristic
178C59×#399C2211yescharacteristic
179C59×#399C2211yescharacteristic
180C59×#392C2211yescharacteristic
181C59×#392C2211yescharacteristic
182C59×#390C2211yescharacteristic
183C59×#390C2211yescharacteristic
184C59×#390C2211yescharacteristic
185C59×#390C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic
187C2×#11745687—24no—
188C2×#11745687—42no—
189C2×#11745687—42no—
190C22×Dic118C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212#14273723—24no—
213#14273713—42no—
214#14273711—42no—
215#14273709—42no—
216#14273708—24no—
217#14273708—42no—
218#14273700—24no—
219#14273699—42no—
220#14273699—42no—
221#14273698—24no—
222#14273696—24no—
223#14273696—24no—
224C4×D236—42no—
225D4×Dic59—42no—
226D4×Dic59—42no—
227C4×C22⋊D59—42no—
228C4×C22⋊D59—42no—
229(C22⋊D59)⋊C4—42no—
230(C22⋊D59)⋊C4—42no—
231(C22⋊D59)⋊C4—42no—
232#14273685—42no—
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×C22⋊Dic59—42no—
250C2×C22⋊Dic59—42no—
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×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×C4×Dic59C2311yescharacteristic
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C42×D59—42no—
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C25×C59C2311yescharacteristic
335C22×D4×C59C2311yescharacteristic
336C22×D4×C59C2311yescharacteristic
337C22×D4×C59C2311yescharacteristic
338C22×D4×C59C2311yescharacteristic
339C22×D4×C59C2311yescharacteristic
340C22×D4×C59C2311yescharacteristic
341C22×D4×C59C2311yescharacteristic
342C23×C4×C59C2311yescharacteristic
343C23×C4×C59C2311yescharacteristic
344#123×C59—24no—
345#123×C59—42no—
346#121×C59—42no—
347#120×C59—24no—
348#120×C59—42no—
349C2×C4⋊C4×C59C2311yescharacteristic
350C2×C4⋊C4×C59C2311yescharacteristic
351C2×C4⋊C4×C59C2311yescharacteristic
352C2×C4⋊C4×C59C2311yescharacteristic
353C2×C4⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59—42no—
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×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C42×C59C2311yescharacteristic
372C2×C42×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375C24×C59—22no—
376C24×C59—22no—
377C24×C59—22no—
378C24×C59—41no—
379C24×C59—41no—
380C24×C59—41no—
381C24×C59—41no—
382C24×C59C2411yescharacteristic
383C24×C59C2411yescharacteristic
384C24×C59C2411yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C2×D4×C59—22no—
390C2×D4×C59—22no—
391C2×D4×C59—22no—
392C2×D4×C59—22no—
393C2×D4×C59—22no—
394C2×D4×C59—22no—
395C2×D4×C59—22no—
396C2×D4×C59—22no—
397C2×D4×C59—22no—
398C2×D4×C59—41no—
399C2×D4×C59—41no—
400C2×D4×C59—41no—
401C2×D4×C59—41no—
402C2×D4×C59—41no—
403C2×D4×C59—41no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C2×D4×C59—41no—
407C2×D4×C59—41no—
408C2×D4×C59—41no—
409C2×D4×C59—41no—
410C22×C4×C59—22no—
411C22×C4×C59—22no—
412C22×C4×C59—41no—
413C22×C4×C59—41no—
414C22×C4×C59—41no—
415C22×C4×C59—41no—
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
425C22×C4×C59C2411yescharacteristic
426C2×C22⋊D59—22no—
427C2×C22⋊D59—22no—
428C2×C22⋊D59—22no—
429C2×C22⋊D59—22no—
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—41no—
440C2×C22⋊D59—41no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—41no—
447C2×C22⋊D59—41no—
448C2×C22⋊D59—41no—
449C2×C22⋊D59—41no—
450C2×C22⋊D59—41no—
451C2×C22⋊D59—41no—
452C2×C22⋊D59—41no—
453C2×C22⋊D59—41no—
454C2×C22⋊D59—41no—
455C2×C22⋊D59#4114yes—
456C22×Dic59—22no—
457C22×Dic59—22no—
458C22×Dic59—22no—
459C22×Dic59—22no—
460C22×Dic59—22no—
461C22×Dic59—22no—
462C22×Dic59—22no—
463C22×Dic59—41no—
464C22×Dic59—41no—
465C22×Dic59—41no—
466C22×Dic59—41no—
467C22×Dic59—41no—
468C22×Dic59—41no—
469C22×Dic59—41no—
470C22×Dic59—41no—
471C22×Dic59—41no—
472C22×Dic59—41no—
473C22×Dic59—41no—
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C22×Dic59C2411yescharacteristic
484C22×Dic59C2411yescharacteristic
485C22×Dic59C2411yescharacteristic
486C22×Dic59C2411yescharacteristic
487C22×Dic59C2411yescharacteristic
488#11745687—416no—
489C2×D236—22no—
490C2×D236—22no—
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—41no—
501C2×C4×D59—41no—
502C2×C4×D59—41no—
503C2×C4×D59—41no—
504C2×Dic118—22no—
505C2×Dic118—22no—
506C2×Dic118—41no—
507C4⋊C4×C59—22no—
508C4⋊C4×C59—22no—
509C4⋊C4×C59—22no—
510C4⋊C4×C59—41no—
511C4⋊C4×C59—41no—
512C22⋊C4×C59—22no—
513C22⋊C4×C59—22no—
514C22⋊C4×C59—22no—
515C22⋊C4×C59—22no—
516C22⋊C4×C59—22no—
517C22⋊C4×C59—22no—
518C22⋊C4×C59—22no—
519C22⋊C4×C59—22no—
520C22⋊C4×C59—22no—
521C22⋊C4×C59—22no—
522C22⋊C4×C59—22no—
523C22⋊C4×C59—41no—
524C22⋊C4×C59—41no—
525C22⋊C4×C59—41no—
526C22⋊C4×C59—41no—
527C22⋊C4×C59#4114yescomplemented
528C42×C59—41no—
529C42×C59—41no—
530C22⋊Dic59—22no—
531C22⋊Dic59—22no—
532C22⋊Dic59—22no—
533C22⋊Dic59—22no—
534C22⋊Dic59—22no—
535C22⋊Dic59—22no—
536C22⋊Dic59—22no—
537C22⋊Dic59—22no—
538C22⋊Dic59—22no—
539C22⋊Dic59—22no—
540C22⋊Dic59—22no—
541C22⋊Dic59—22no—
542C22⋊Dic59—22no—
543C22⋊Dic59—22no—
544C22⋊Dic59—41no—
545C22⋊Dic59—41no—
546C22⋊Dic59—41no—
547C22⋊Dic59—41no—
548C22⋊Dic59—41no—
549C22⋊Dic59—41no—
550C22⋊Dic59—41no—
551C22⋊Dic59—41no—
552C22⋊Dic59—41no—
553C22⋊Dic59#4114yescomplemented
554(C2×D59)⋊C4—22no—
555(C2×D59)⋊C4—22no—
556(C2×D59)⋊C4—22no—
557(C2×D59)⋊C4—22no—
558(C2×D59)⋊C4—41no—
559(C2×D59)⋊C4—41no—
560(C2×D59)⋊C4—41no—
561(C2×D59)⋊C4—41no—
562(C2×D59)⋊C4—41no—
563(C2×D59)⋊C4—41no—
564(C2×D59)⋊C4—41no—
565(C2×D59)⋊C4—41no—
566(C2×D59)⋊C4—41no—
567(C2×D59)⋊C4—41no—
568C4⋊Dic59—22no—
569C4⋊Dic59—22no—
570C4⋊Dic59—22no—
571C4⋊Dic59—41no—
572C4⋊Dic59—41no—
573C4⋊Dic59—41no—
574Dic59⋊C4—22no—
575Dic59⋊C4—22no—
576Dic59⋊C4—22no—
577Dic59⋊C4—22no—
578Dic59⋊C4—22no—
579Dic59⋊C4—22no—
580Dic59⋊C4—41no—
581Dic59⋊C4—41no—
582Dic59⋊C4—41no—
583Dic59⋊C4—41no—
584C4×Dic59—22no—
585C4×Dic59—22no—
586C4×Dic59—22no—
587C4×Dic59—41no—
588C4×Dic59—41no—
589C4×Dic59—41no—
590C4×Dic59—41no—
591C4×Dic59—41no—
592C4×Dic59—41no—
593C4×Dic59—41no—
594C4×Dic59—41no—
595C4×Dic59—41no—
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—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
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—44no—
629C23×C59—44no—
630C23×C59—44no—
631C23×C59—82no—
632C23×C59—82no—
633C23×C59—82no—
634C23×C59—82no—
635C23×C59C2×#4112yes—
636C23×C59C2×#4112yes—
637C23×C59C2×#4112yes—
638C23×C59C2511yescharacteristic
639C22×D59—21no—
640C22×D59—21no—
641C22×D59—21no—
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×D59C2×#4112yes—
653D4×C59—44no—
654D4×C59—44no—
655D4×C59—44no—
656D4×C59—82no—
657D4×C59—82no—
658D4×C59—82no—
659D4×C59—82no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—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—82no—
687C2×C4×C59—82no—
688C2×C4×C59C2×#4112yes—
689C2×C4×C59C2×#4112yes—
690C2×C4×C59H(5,𝔽2)12yes—
691C2×C4×C59H(5,𝔽2)12yes—
692C22⋊D59—44no—
693C22⋊D59—44no—
694C22⋊D59—44no—
695C22⋊D59—44no—
696C22⋊D59—44no—
697C22⋊D59—44no—
698C22⋊D59—44no—
699C22⋊D59—82no—
700C22⋊D59—82no—
701C22⋊D59—82no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—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—44no—
740C2×Dic59—44no—
741C2×Dic59—82no—
742C2×Dic59—82no—
743C2×Dic59—82no—
744C2×Dic59—82no—
745C2×Dic59C2×#4112yes—
746C2×Dic59C2×#4112yes—
747C2×Dic59C2×#4112yes—
748C2×Dic59H(5,𝔽2)12yes—
749C2×Dic59H(5,𝔽2)12yes—
750D236—44no—
751C4×D59—28no—
752C4×D59—44no—
753C4×D59—44no—
754C4×D59—82no—
755Dic118—44no—
756#60034—591nomaximal, Sylow
757C22×C59—22no—
758C22×C59—22no—
759C22×C59—22no—
760C22×C59—22no—
761C22×C59—22no—
762C22×C59—22no—
763C22×C59—22no—
764C22×C59—22no—
765C22×C59—22no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59—41no—
769C22×C59—41no—
770C22×C59—41no—
771C22×C59—41no—
772C22×C59—41no—
773C22×C59—41no—
774C22×C59—41no—
775C22×C59—41no—
776C22×C59—41no—
777C22×C59—41no—
778C22×C59—41no—
779C22×C59—41no—
780C22×C59—41no—
781C22×C59—41no—
782C22×C59—41no—
783C22×C59—41no—
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—88no—
793C22×C59C22×#4111yescharacteristic
794C22×C59C22×#4111yescharacteristic
795C22×C59C22×#4111yescharacteristic
796C22×C59C2×H(5,𝔽2)11yescharacteristic
797C22×C59C2×H(5,𝔽2)11yescharacteristic
798C22×C59C2×H(5,𝔽2)11yescharacteristic
799C22×C59C2×H(5,𝔽2)11yescharacteristic
800C2×D59—22no—
801C2×D59—22no—
802C2×D59—22no—
803C2×D59—41no—
804C2×D59—41no—
805C2×D59—41no—
806C2×D59—41no—
807C2×D59—41no—
808C2×D59—41no—
809C2×D59—41no—
810C2×D59—41no—
811C2×D59—41no—
812C2×D59—41no—
813C2×D59—41no—
814C4×C59—22no—
815C4×C59—22no—
816C4×C59—22no—
817C4×C59—22no—
818C4×C59—41no—
819C4×C59—41no—
820C4×C59—41no—
821C4×C59—41no—
822C4×C59—41no—
823C4×C59—41no—
824Dic59—22no—
825Dic59—22no—
826Dic59—22no—
827Dic59—22no—
828Dic59—22no—
829Dic59—41no—
830Dic59—41no—
831Dic59—41no—
832Dic59—41no—
833Dic59—41no—
834Dic59—41no—
835Dic59—41no—
836Dic59—41no—
837Dic59—41no—
838#2748—591no—
839#2703—591no—
840#2703—591no—
841#2669—591no—
842#2602—591no—
843#2602—591no—
844#2589—591no—
845#2589—591no—
846#2557—591no—
847#2557—591no—
848#2539—591no—
849#2539D5911yescharacteristic, complemented
850#2516—591no—
851#2516—591no—
852#2471—591no—
853#2471—591no—
854#2464—591no—
855#2464—591no—
856#2456—591no—
857#2456—591no—
858#2431—591no—
859#2404—591no—
860#2374—591no—
861#2374—591no—
862#2366—591no—
863#2358—591no—
864#2358—591no—
865#2358—591no—
866C4×#121—591no—
867C4×#121—591no—
868#2297—591no—
869C2×C59—42no—
870C2×C59—42no—
871C2×C59—42no—
872C2×C59—81no—
873C2×C59—81no—
874C2×C59#348111yescharacteristic
875C2×C59#348111yescharacteristic
876C2×C59#348111yescharacteristic
877C2×C59#349011yescharacteristic
878C2×C59#350811yescharacteristic
879C2×C59#350811yescharacteristic
880C2×C59#353711yescharacteristic
881D59—42no—
882D59—81no—
883C22×#41—591no—
884C2×#127—591no—
885C2×#124—591no—
886C2×#123—591no—
887C2×#123—591no—
888C2×#123—591no—
889C2×#123—591no—
890C2×#123C2×D5911yescharacteristic
891C2×#123C2×D5911yescharacteristic
892C2×#121—591no—
893C2×#121—591no—
894C2×#121—591no—
895C2×#121—591no—
896C2×#121C2×D5911yescharacteristic
897C2×#120—591no—
898C2×#120—591no—
899C2×#120C2×D5911yescharacteristic
900C2×#120C2×D5911yescharacteristic
901C2×C4×D4—591no—
902C2×C4×D4—591no—
903C2×C4×D4—591no—
904C2×C4×D4—591no—
905C2×C4×D4—591no—
906C2×C4×D4—591no—
907C2×C4×D4—591no—
908C2×C4×D4—591no—
909C2×#117—591no—
910C22×C22⋊C4—591no—
911C22×C22⋊C4—591no—
912C22×C22⋊C4C2×D5911yescharacteristic
913C22×C42—591no—
914#400—591no—
915#400—591no—
916#399—591no—
917#399—591no—
918#399C2×D5911yescharacteristic
919#399C2×D5911yescharacteristic
920#398—591no—
921#398—591no—
922#397—591no—
923#397—591no—
924#397—591no—
925#397—591no—
926#396—591no—
927#396—591no—
928#394—591no—
929#394—591no—
930#394—591no—
931#394—591no—
932#393—591no—
933#393—591no—
934#392—591no—
935#392—591no—
936#392—591no—
937#392—591no—
938#392—591no—
939#392—591no—
940#392—591no—
941#392—591no—
942#392—591no—
943#392—591no—
944#392C2×D5911yescharacteristic
945#392C2×D5911yescharacteristic
946#391—591no—
947#391—591no—
948#391—591no—
949#390—591no—
950#390—591no—
951#390—591no—
952#390—591no—
953#390—591no—
954#390—591no—
955#390—591no—
956#390—591no—
957#390—591no—
958#390C2×D5911yescharacteristic
959#390C2×D5911yescharacteristic
960#390C2×D5911yescharacteristic
961#390C2×D5911yescharacteristic
962#389—591no—
963#389—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388—591no—
972#388—591no—
973#388—591no—
974#388—591no—
975#388—591no—
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#388—591no—
981#388—591no—
982#387—591no—
983#387—591no—
984#387—591no—
985#387—591no—
986#387—591no—
987#387—591no—
988#387—591no—
989#387—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386—591no—
1003#386—591no—
1004#386—591no—
1005#386—591no—
1006#386—591no—
1007#386—591no—
1008#386—591no—
1009#386—591no—
1010#386—591no—
1011#386—591no—
1012#385—591no—
1013#385—591no—
1014#385—591no—
1015#385—591no—
1016#385—591no—
1017#385—591no—
1018#381—591no—
1019#380—591no—
1020#380—591no—
1021C4×C4⋊C4—591no—
1022C4×C4⋊C4—591no—
1023C4×C4⋊C4—591no—
1024C4×C4⋊C4—591no—
1025C4×C22⋊C4—591no—
1026C4×C22⋊C4—591no—
1027C4×C22⋊C4—591no—
1028C4×C22⋊C4—591no—
1029C4×C22⋊C4—591no—
1030C4×C22⋊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⋊C4C2×D5911yescharacteristic
1038C59#6003411yescharacteristic, complemented, Sylow
1039C25C22×D5911yescharacteristic
1040C2×#41—1184no—
1041C2×#41—2362no—
1042C2×#41—2362no—
1043C22×Q8—591no—
1044C22×D4—591no—
1045C22×D4—591no—
1046C22×D4—591no—
1047C22×D4—591no—
1048C22×D4—591no—
1049C22×D4—591no—
1050C22×D4—591no—
1051C22×D4—591no—
1052C22×D4—591no—
1053C22×D4—591no—
1054C22×D4—591no—
1055C22×D4C22×D5911yescharacteristic
1056C22×D4C22×D5911yescharacteristic
1057C22×D4C22×D5911yescharacteristic
1058C22×D4C22×D5911yescharacteristic
1059C22×D4C22×D5911yescharacteristic
1060C22×D4C22×D5911yescharacteristic
1061C22×D4C22×D5911yescharacteristic
1062C23×C4—591no—
1063C23×C4—591no—
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×C4C22×D5911yescharacteristic
1073C23×C4C22×D5911yescharacteristic
1074#127—1184no—
1075#124—2362no—
1076#123—24no—
1077#123—42no—
1078#123—1184no—
1079#123—2362no—
1080#123—2362no—
1081#123—2362no—
1082#121—42no—
1083#121—1184no—
1084#121—1184no—
1085#121—2362no—
1086#121—2362no—
1087#120—24no—
1088#120—42no—
1089#120—1184no—
1090#120—1184no—
1091C4×D4—2362no—
1092C4×D4—2362no—
1093C4×D4—2362no—
1094C4×D4—2362no—
1095C4×D4—2362no—
1096C4×D4—2362no—
1097C4×D4—2362no—
1098C4×D4—2362no—
1099#117—2362no—
1100C2×C4⋊C4—591no—
1101C2×C4⋊C4—591no—
1102C2×C4⋊C4—591no—
1103C2×C4⋊C4—591no—
1104C2×C4⋊C4—591no—
1105C2×C4⋊C4—591no—
1106C2×C4⋊C4—591no—
1107C2×C4⋊C4—591no—
1108C2×C4⋊C4—591no—
1109C2×C4⋊C4—591no—
1110C2×C4⋊C4—591no—
1111C2×C4⋊C4—591no—
1112C2×C4⋊C4—591no—
1113C2×C4⋊C4—591no—
1114C2×C4⋊C4—591no—
1115C2×C4⋊C4—591no—
1116C2×C4⋊C4C22×D5911yescharacteristic
1117C2×C4⋊C4C22×D5911yescharacteristic
1118C2×C4⋊C4C22×D5911yescharacteristic
1119C2×C4⋊C4C22×D5911yescharacteristic
1120C2×C4⋊C4C22×D5911yescharacteristic
1121C2×C22⋊C4—42no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
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—2362no—
1161C2×C22⋊C4—2362no—
1162C2×C22⋊C4C22×D5911yescharacteristic
1163C2×C22⋊C4C22×D5911yescharacteristic
1164C2×C22⋊C4C22×D5911yescharacteristic
1165C2×C22⋊C4C22×D5911yescharacteristic
1166C2×C22⋊C4C22×D5911yescharacteristic
1167C2×C22⋊C4C22×D5911yescharacteristic
1168C2×C22⋊C4C22×D5911yescharacteristic
1169C2×C22⋊C4C22×D5911yescharacteristic
1170C2×C22⋊C4C22×D5911yescharacteristic
1171C2×C22⋊C4C22×D5911yescharacteristic
1172C2×C22⋊C4C22×D5911yescharacteristic
1173C2×C22⋊C4C22×D5911yescharacteristic
1174C2×C22⋊C4C22×D5911yescharacteristic
1175C2×C22⋊C4C22×D5911yescharacteristic
1176C2×C22⋊C4C22×D5911yescharacteristic
1177C2×C22⋊C4C22×D5911yescharacteristic
1178C2×C42—591no—
1179C2×C42—591no—
1180C2×C42—591no—
1181C2×C42—591no—
1182C2×C42—591no—
1183C2×C42—591no—
1184C2×C42—591no—
1185C2×C42—591no—
1186C2×C42—591no—
1187C2×C42—591no—
1188C2×C42—591no—
1189C2×C42—591no—
1190C2×C42—2362no—
1191C2×C42C22×D5911yescharacteristic
1192C2×C42C22×D5911yescharacteristic
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95—591no—
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95—591no—
1207#95—591no—
1208#95—591no—
1209#95—591no—
1210#95—591no—
1211#95—591no—
1212#95—591no—
1213#95—591no—
1214#95—591no—
1215#95—591no—
1216#95—591no—
1217#95—591no—
1218#95—591no—
1219#95—591no—
1220#95—591no—
1221#95—591no—
1222#95—591no—
1223#95—591no—
1224#95—591no—
1225#95C22×D5911yescharacteristic
1226#95C22×D5911yescharacteristic
1227C24—22no—
1228C24—22no—
1229C24—22no—
1230C24—41no—
1231C24—41no—
1232C24—41no—
1233C24—41no—
1234C24—591no—
1235C24—591no—
1236C24C23×D5911yescharacteristic
1237C24C23×D5911yescharacteristic
1238C24C23×D5911yescharacteristic
1239C24C23×D5911yescharacteristic
1240C24C23×D5911yescharacteristic
1241#41—23616no—
1242C2×Q8—1182no—
1243C2×Q8—1182no—
1244C2×Q8—2361no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—594no—
1267C2×D4—1182no—
1268C2×D4—1182no—
1269C2×D4—1182no—
1270C2×D4—1182no—
1271C2×D4—1182no—
1272C2×D4—1182no—
1273C2×D4—1182no—
1274C2×D4—1182no—
1275C2×D4—1182no—
1276C2×D4—1182no—
1277C2×D4—1182no—
1278C2×D4—1182no—
1279C2×D4—1182no—
1280C2×D4—1182no—
1281C2×D4—1182no—
1282C2×D4—2361no—
1283C2×D4—2361no—
1284C2×D4—2361no—
1285C2×D4—2361no—
1286C2×D4—2361no—
1287C2×D4—2361no—
1288C2×D4—2361no—
1289C2×D4—2361no—
1290C2×D4—2361no—
1291C2×D4—2361no—
1292C2×D4—2361no—
1293C2×D4—2361no—
1294C2×D4—2361no—
1295C2×D4—2361no—
1296C2×D4—2361no—
1297C2×D4—2361no—
1298C2×D4—2361no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—591no—
1306C22×C4—591no—
1307C22×C4—591no—
1308C22×C4—591no—
1309C22×C4—591no—
1310C22×C4—591no—
1311C22×C4—591no—
1312C22×C4—591no—
1313C22×C4—591no—
1314C22×C4—591no—
1315C22×C4—591no—
1316C22×C4—591no—
1317C22×C4—591no—
1318C22×C4—591no—
1319C22×C4—1182no—
1320C22×C4—1182no—
1321C22×C4—1182no—
1322C22×C4—1182no—
1323C22×C4—1182no—
1324C22×C4—1182no—
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—2361no—
1335C22×C4—2361no—
1336C22×C4—2361no—
1337C22×C4—2361no—
1338C22×C4—2361no—
1339C22×C4—2361no—
1340C22×C4—2361no—
1341C22×C4—2361no—
1342C22×C4—2361no—
1343C22×C4—2361no—
1344C22×C4—2361no—
1345C22×C4—2361no—
1346C22×C4—2361no—
1347C22×C4—2361no—
1348C22×C4—2361no—
1349C22×C4C23×D5911yescharacteristic
1350C22×C4C23×D5911yescharacteristic
1351C22×C4C23×D5911yescharacteristic
1352C22×C4C23×D5911yescharacteristic
1353C22×C4C23×D5911yescharacteristic
1354C22×C4C23×D5911yescharacteristic
1355C22×C4C23×D5911yescharacteristic
1356C22×C4C23×D5911yescharacteristic
1357C22×C4C23×D5911yescharacteristic
1358C22×C4C23×D5911yescharacteristic
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—41no—
1363C4⋊C4—41no—
1364C4⋊C4—1182no—
1365C4⋊C4—1182no—
1366C4⋊C4—1182no—
1367C4⋊C4—1182no—
1368C4⋊C4—1182no—
1369C4⋊C4—1182no—
1370C4⋊C4—1182no—
1371C4⋊C4—1182no—
1372C4⋊C4—1182no—
1373C4⋊C4—2361no—
1374C4⋊C4—2361no—
1375C4⋊C4—2361no—
1376C4⋊C4—2361no—
1377C4⋊C4—2361no—
1378C4⋊C4—2361no—
1379C4⋊C4—2361no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—594no—
1396C22⋊C4—1182no—
1397C22⋊C4—1182no—
1398C22⋊C4—1182no—
1399C22⋊C4—1182no—
1400C22⋊C4—1182no—
1401C22⋊C4—1182no—
1402C22⋊C4—1182no—
1403C22⋊C4—1182no—
1404C22⋊C4—1182no—
1405C22⋊C4—1182no—
1406C22⋊C4—1182no—
1407C22⋊C4—1182no—
1408C22⋊C4—1182no—
1409C22⋊C4—1182no—
1410C22⋊C4—1182no—
1411C22⋊C4—1182no—
1412C22⋊C4—1182no—
1413C22⋊C4—1182no—
1414C22⋊C4—2361no—
1415C22⋊C4—2361no—
1416C22⋊C4—2361no—
1417C22⋊C4—2361no—
1418C22⋊C4—2361no—
1419C22⋊C4—2361no—
1420C22⋊C4—2361no—
1421C22⋊C4—2361no—
1422C22⋊C4—2361no—
1423C22⋊C4—2361no—
1424C22⋊C4—2361no—
1425C22⋊C4—2361no—
1426C22⋊C4—2361no—
1427C22⋊C4—2361no—
1428C22⋊C4—2361no—
1429C22⋊C4—2361no—
1430C22⋊C4—2361no—
1431C22⋊C4—2361no—
1432C22⋊C4—2361no—
1433C22⋊C4#1174568714yescomplemented
1434C42—41no—
1435C42—41no—
1436C42—1182no—
1437C42—1182no—
1438C42—1182no—
1439C42—2361no—
1440C42—2361no—
1441C42—2361no—
1442C42—2361no—
1443C42—2361no—
1444C42—2361no—
1445C42—2361no—
1446C42—2361no—
1447C42—2361no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—44no—
1481C23—44no—
1482C23—44no—
1483C23—82no—
1484C23—82no—
1485C23—82no—
1486C23—82no—
1487C23—592no—
1488C23—1181no—
1489C23—1181no—
1490C23—1181no—
1491C23—1181no—
1492C23—1181no—
1493C23—1181no—
1494C23—1181no—
1495C23—1181no—
1496C23—1181no—
1497C23—1181no—
1498C23—1181no—
1499C23—1181no—
1500C23—1181no—
1501C23#41×D5912yes—
1502C23#41×D5912yes—
1503C23C2×#1174568712yes—
1504C23C24×D5911yescharacteristic
1505Q8—2364no—
1506D4—44no—
1507D4—44no—
1508D4—44no—
1509D4—82no—
1510D4—82no—
1511D4—82no—
1512D4—82no—
1513D4—4722no—
1514D4—4722no—
1515D4—4722no—
1516D4—2364no—
1517D4—2364no—
1518D4—2364no—
1519D4—2364no—
1520D4—2364no—
1521D4—2364no—
1522D4—2364no—
1523D4—2364no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
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—82no—
1551C2×C4—82no—
1552C2×C4—592no—
1553C2×C4—592no—
1554C2×C4—592no—
1555C2×C4—592no—
1556C2×C4—592no—
1557C2×C4—1188no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—1181no—
1565C2×C4—1181no—
1566C2×C4—1181no—
1567C2×C4—1181no—
1568C2×C4—1181no—
1569C2×C4—1181no—
1570C2×C4—1181no—
1571C2×C4—1181no—
1572C2×C4—1181no—
1573C2×C4—1181no—
1574C2×C4—1181no—
1575C2×C4—1181no—
1576C2×C4—1181no—
1577C2×C4—1181no—
1578C2×C4—1181no—
1579C2×C4—1181no—
1580C2×C4—1181no—
1581C2×C4—1181no—
1582C2×C4—1181no—
1583C2×C4—1181no—
1584C2×C4—1181no—
1585C2×C4—1181no—
1586C2×C4—1181no—
1587C2×C4—1181no—
1588C2×C4—1181no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—1181no—
1595C2×C4—4722no—
1596C2×C4—4722no—
1597C2×C4—4722no—
1598C2×C4—4722no—
1599C2×C4—4722no—
1600C2×C4—2364no—
1601C2×C4—2364no—
1602C2×C4—2364no—
1603C2×C4—2364no—
1604C2×C4C2×#1174568712yes—
1605C2×C4C2×#1174568712yes—
1606C2×C4#1427377212yes—
1607C2×C4#1427377212yes—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—88no—
1644C22—1182no—
1645C22—1182no—
1646C22—1182no—
1647C22—2361no—
1648C22—2361no—
1649C22—2361no—
1650C22—2361no—
1651C22—2361no—
1652C22—2361no—
1653C22—2361no—
1654C22—2361no—
1655C22—2361no—
1656C22—2361no—
1657C22—2361no—
1658C22C2×#41×D5911yescharacteristic
1659C22C2×#41×D5911yescharacteristic
1660C22C22×#1174568711yescharacteristic
1661C22H(5,𝔽2)×D5911yescharacteristic
1662C22H(5,𝔽2)×D5911yescharacteristic
1663C22C2×#1427377211yescharacteristic
1664C22C2×#1427377211yescharacteristic
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—22no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—1182no—
1676C4—1182no—
1677C4—1182no—
1678C4—1182no—
1679C4—1182no—
1680C4—2361no—
1681C4—2361no—
1682C4—2361no—
1683C4—2361no—
1684C4—2361no—
1685C4—2361no—
1686C4—2361no—
1687C4—2361no—
1688C4—2361no—
1689C2—42no—
1690C2—42no—
1691C2—42no—
1692C2—81no—
1693C2—81no—
1694C2—4721no—
1695C2—2362no—
1696C2#2143769811yescharacteristic
1697C2#2143770111yescharacteristic
1698C2#2143770111yescharacteristic
1699C2#2143777811yescharacteristic
1700C2#2143796411yescharacteristic
1701C2#2143797011yescharacteristic
1702C2#2143833311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2539C2
hypercenter#2539D59
hypocenterC59#60034
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2539

Complements

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

NH ≅ G/Ntype
1. #21431310C2semidirect
2. #21430746C2semidirect
3. #21430733C2semidirect
4. #21430310C2semidirect
5. #21429705C2semidirect
6. #21429701C2semidirect
7. #21429541C2semidirect
8. #21429540C2semidirect
9. #21429200C2semidirect
10. #21429191C2semidirect
11. #21429024C2semidirect
12. #21428727C2semidirect
13. #21428723C2semidirect
14. #21428203C2semidirect
15. #21428200C2semidirect
16. #21428107C2semidirect
17. #21428095C2semidirect
18. #21427994C2semidirect
19. #21427993C2semidirect
20. #21427710C2semidirect
21. #21427412C2semidirect
22. #21427232C2semidirect
23. #21427231C2semidirect
24. #21427157C2semidirect
25. #21427080C2semidirect
26. #21427075C2semidirect
27. #21427075C2semidirect
28. #21426612C2semidirect
29. C4×#14273700C2semidirect
30. #21426583C2semidirect
31. C59×#2539C2semidirect
34. C2×#14273713C22semidirect
36. C2×#14273709C22semidirect
38. C2×#14273708C22semidirect
41. C2×#14273699C22semidirect
45. C2×C4×D236C22semidirect
52. C2×(C22⋊D59)⋊C4C22semidirect
53. C2×#14273685C22semidirect
56. C2×C42×D59C22semidirect
57. #16837344C22semidirect
58. #16837340C22semidirect
61. #16837336C22semidirect
62. #16837332C22semidirect
63. #16837330C22semidirect
64. #16837328C22semidirect
65. #16837328C22semidirect
66. #16837327C22semidirect
67. #16837324C22semidirect
68. #16837324C22semidirect
70. #16837318C22semidirect
72. #16837316C22semidirect
76. #16837311C22semidirect
84. #16837310C22semidirect
85. #16837308C22semidirect
86. #16837307C22semidirect
87. #16837306C22semidirect
91. #16837303C22semidirect
96. #16837302C22semidirect
97. #16837300C22semidirect
98. #16837299C22semidirect
102. #16837296C22semidirect
103. #16837296C22semidirect
104. #16837296C22semidirect
108. #16837295C22semidirect
109. #16837295C22semidirect
110. #16837295C22semidirect
111. #16837292C22semidirect
112. #16837292C22semidirect
113. #16837291C22semidirect
116. #16837290C22semidirect
117. #16837288C22semidirect
118. #16837288C22semidirect
119. #16837288C22semidirect
120. #16837286C22semidirect
121. #16837285C22semidirect
122. #16837283C22semidirect
123. #16837283C22semidirect
124. #16837283C22semidirect
133. #16837280C22semidirect
137. #16837279C22semidirect
143. #16837278C22semidirect
144. #16837278C22semidirect
145. #16837278C22semidirect
146. #16837278C22semidirect
154. #16837261C22semidirect
155. #16837259C22semidirect
156. C4⋊C4×Dic59C22semidirect
157. C4⋊C4×Dic59C22semidirect
158. C4×Dic59⋊C4C22semidirect
159. C4×Dic59⋊C4C22semidirect
165. C22⋊C4×Dic59C22semidirect
166. C22⋊C4×Dic59C22semidirect
167. C22⋊C4×Dic59C22semidirect
168. C22⋊C4×Dic59C22semidirect
169. C4×(C2×D59)⋊C4C22semidirect
527. C22⋊C4×C59#41semidirect
553. C22⋊Dic59#41semidirect
849. #2539D59semidirect
1038. C59#60034semidirect
1433. C22⋊C4#11745687semidirect

Maximal subgroups

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

subgroupindex
#214313102
#214307462
#214307332
#214303102
#214297052
#214297012
#214295412
#214295402
#214292002
#214291912
#214290242
#214287272
#214287232
#214282032
#214282002
#214281072
#214280952
#214279942
#214279932
#214277102
#214274122
#214272322
#214272312
#214271572
#214270802
#214270752
#214266122
C4×#142737002
#214265832
C59×#25392
#6003459