Finite Group Databasebeta

← C2×#529×D59 #29495362

Subgroups — C2×#529×D59 #29495362

Order 15104.

8670 conjugacy classes of subgroups.

The subgroup lattice has 1352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837939C211yesmaximal, characteristic, complemented
2C2×#16837938C211yesmaximal, characteristic, complemented
3C2×#16837937C211yesmaximal, characteristic, complemented
4C2×#16837936C211yesmaximal, characteristic, complemented
5C2×#16837935C212yesmaximal, complemented
6C2×#16837934C211yesmaximal, characteristic, complemented
7C2×#16837933C211yesmaximal, characteristic, complemented
8C2×#16837932C212yesmaximal, complemented
9C2×#16837931C211yesmaximal, characteristic, complemented
10C2×#16837930C212yesmaximal, complemented
11C2×#16837929C212yesmaximal, complemented
12#529×D59C2132yesmaximal, direct product factor
13C2×#126×D59C212yesmaximal, complemented
14C2×#125×D59C211yesmaximal, characteristic, complemented
15C2×#124×D59C211yesmaximal, characteristic, complemented
16C2×#123×D59C212yesmaximal, complemented
17C2×C22⋊Q8×D59C211yesmaximal, characteristic, complemented
18C2×#121×D59C211yesmaximal, characteristic
19C2×C4×Q8×D59C211yesmaximal, characteristic, complemented
20C2×C4×D4×D59C212yesmaximal, complemented
21C2×C4×D4×D59C211yesmaximal, characteristic, complemented
22C2×#117×D59C212yesmaximal, complemented
23C22×C42×D59C211yesmaximal, characteristic, complemented
24C2×C59×#529C211yesmaximal, characteristic, complemented
25C22×Q8×D59C2211yescharacteristic
26C22×D4×D59C2212yes—
27C22×D4×D59C2211yescharacteristic
28C23×C4×D59C2211yescharacteristic
29C23×C4×D59C2211yescharacteristic
30C23×C4×D59C2211yescharacteristic
31C23×C4×D59C2212yes—
32#16837939C22116yescomplemented
33#16837938C22116yescomplemented
34#16837937C22116yescomplemented
35#16837936C22116yescomplemented
36#16837935C22132yescomplemented
37#16837934C22116yescomplemented
38#16837933C22116yescomplemented
39#16837932C22132yescomplemented
40#16837931C22116yescomplemented
41#16837930C22132yescomplemented
42#16837929C22132yescomplemented
43C2×#14273722C2212yescomplemented
44C2×#14273722C2212yescomplemented
45C2×#14273722C2212yescomplemented
46C2×#14273721C2212yescomplemented
47C2×#14273720C2212yescomplemented
48C2×#14273720C2212yescomplemented
49C2×#14273720C2212yescomplemented
50#126×D59C22132yescomplemented
51C2×#14273719C2211yescharacteristic, complemented
52C2×#14273718C2211yescharacteristic, complemented
53C2×#14273718C2211yescharacteristic, complemented
54C2×#14273717C2212yescomplemented
55C2×#14273717C2212yescomplemented
56#125×D59C22116yescomplemented
57C2×#14273716C2211yescharacteristic, complemented
58C2×#14273715C2211yescharacteristic, complemented
59C2×#14273714C2211yescharacteristic, complemented
60C2×#14273713C2212yescomplemented
61C2×#14273713C2212yescomplemented
62#124×D59C22116yescomplemented
63C2×#14273712C2212yescomplemented
64C2×#14273712C2212yescomplemented
65C2×#14273711C2212yescomplemented
66C2×#14273710C2212yescomplemented
67C2×#14273709C2212yescomplemented
68C2×#14273709C2212yescomplemented
69C2×#14273708C2212yescomplemented
70#123×D59C22132yescomplemented
71C2×#14273707C2211yescharacteristic, complemented
72C2×#14273706C2211yescharacteristic, complemented
73C2×#14273705C2212yescomplemented
74C2×#14273704C2212yescomplemented
75C2×#14273703C2211yescharacteristic, complemented
76C22⋊Q8×D59C22116yescomplemented
77C2×#14273702C2211yescharacteristic
78C2×#14273701C2211yescharacteristic
79C2×#14273700C2212yes—
80C2×#14273699C2212yes—
81C2×#14273698C2211yescharacteristic
82#121×D59C22116yes—
83C2×Q8×Dic59C2211yescharacteristic, complemented
84C2×C4×Dic118C2212yescomplemented
85C2×C4×Dic118C2211yescharacteristic, complemented
86C2×#14273692C2212yescomplemented
87C2×#14273692C2211yescharacteristic, complemented
88C4×Q8×D59C22116yescomplemented
89C2×C4×D236C2212yescomplemented
90C2×C4×D236C2211yescharacteristic, complemented
91C2×D4×Dic59C2212yescomplemented
92C2×D4×Dic59C2211yescharacteristic, complemented
93C2×#14273689C2212yescomplemented
94C2×#14273689C2211yescharacteristic, complemented
95C2×C4×C22⋊D59C2212yescomplemented
96C2×C4×C22⋊D59C2212yescomplemented
97C2×C4×C22⋊D59C2212yescomplemented
98C2×(C22⋊D59)⋊C4C2212yescomplemented
99C2×(C22⋊D59)⋊C4C2212yescomplemented
100C2×(C22⋊D59)⋊C4C2212yescomplemented
101C4×D4×D59C22132yescomplemented
102C4×D4×D59C22116yescomplemented
103C2×#14273686C2212yescomplemented
104C2×#14273685C2212yescomplemented
105C2×#14273685C2212yescomplemented
106C2×#14273684C2212yescomplemented
107C2×#14273684C2212yescomplemented
108C2×#14273683C2212yescomplemented
109C2×#14273683C2212yescomplemented
110#117×D59C22132yescomplemented
111C2×C4⋊C4×D59C2212yes—
112C2×C4⋊C4×D59C2212yes—
113C2×C4⋊C4×D59C2211yescharacteristic
114C2×C4⋊C4×D59C2212yes—
115C2×C4⋊C4×D59C2211yescharacteristic
116C2×C4⋊C4×D59C2212yes—
117C2×C22⋊C4×D59C2212yes—
118C2×C22⋊C4×D59C2212yes—
119C2×C22⋊C4×D59C2212yes—
120C2×C22⋊C4×D59C2212yes—
121C2×C22⋊C4×D59C2212yes—
122C22×C4×Dic59C2211yescharacteristic, complemented
123C22×C4×Dic59C2211yescharacteristic, complemented
124C22×C4×Dic59C2211yescharacteristic, complemented
125C2×C42×D59C2211yescharacteristic
126C2×C42×D59C2211yescharacteristic
127C2×C42×D59C2211yescharacteristic
128C2×C42×D59C2211yescharacteristic
129C2×C42×D59C2212yes—
130C2×C42×D59C2211yescharacteristic, complemented
131C2×C42×D59C2211yescharacteristic, complemented
132C2×C42×D59C2211yescharacteristic, complemented
133C2×C42×D59C2211yescharacteristic, complemented
134C2×C42×D59C22116yescomplemented
135C59×#529C22116yescomplemented
136C2×#126×C59C2212yescomplemented
137C2×#125×C59C2211yescharacteristic, complemented
138C2×#124×C59C2211yescharacteristic, complemented
139C2×#123×C59C2212yescomplemented
140C2×C22⋊Q8×C59C2211yescharacteristic, complemented
141C2×#121×C59C2211yescharacteristic
142C2×C4×Q8×C59C2211yescharacteristic, complemented
143C2×C4×D4×C59C2212yescomplemented
144C2×C4×D4×C59C2211yescharacteristic, complemented
145C2×#117×C59C2212yescomplemented
146C22×C42×C59C2211yescharacteristic, complemented
147C24×D59C2312yes—
148C24×D59C2311yescharacteristic
149C22×Dic118C2312yes—
150C22×Dic118C2311yescharacteristic
151C2×Q8×D59—28no—
152C2×Q8×D59C2318yes—
153C22×D236C2312yes—
154C22×D236C2311yescharacteristic
155C22×C22⋊D59C2312yes—
156C22×C22⋊D59C2312yes—
157C22×C22⋊D59C2312yes—
158C2×D4×D59—216no—
159C2×D4×D59—28no—
160C2×D4×D59C23116yes—
161C2×D4×D59C2318yes—
162C23×Dic59C2311yescharacteristic
163C23×Dic59C2311yescharacteristic
164C23×Dic59C2311yescharacteristic
165C23×Dic59C2312yes—
166C22×C4×D59—28no—
167C22×C4×D59—28no—
168C22×C4×D59—216no—
169C22×C4×D59—28no—
170C22×C4×D59C2318yes—
171C22×C4×D59C2311yescharacteristic
172C22×C4×D59C2311yescharacteristic
173C22×C4×D59C2318yes—
174C22×C4×D59C2311yescharacteristic
175C22×C4×D59C2311yescharacteristic
176C22×C4×D59C2311yescharacteristic
177C22×C4×D59C2311yescharacteristic
178C22×C4×D59C2311yescharacteristic
179C22×C4×D59C2311yescharacteristic
180C22×C4×D59C2318yes—
181C22×C4×D59C2311yescharacteristic
182C22×C4×D59C2311yescharacteristic
183C22×C4×D59C2312yes—
184C22×C4×D59C23116yes—
185C22×C4×D59C2312yes—
186C22×C4×D59C2312yes—
187C22×C4×D59C2312yes—
188C22×C4×D59C2312yes—
189C22×C4×D59C2311yescharacteristic
190C22×C4×D59C2311yescharacteristic
191#14273722C23116yescomplemented
192#14273722C23116yescomplemented
193#14273722C23116yescomplemented
194#14273721C23116yescomplemented
195#14273720C23116yescomplemented
196#14273720C23116yescomplemented
197#14273720C23116yescomplemented
198#14273719C2318yescomplemented
199#14273718C2318yescomplemented
200#14273718C2318yescomplemented
201#14273717C23116yescomplemented
202#14273717C23116yescomplemented
203#14273716C2318yescomplemented
204#14273715C2318yescomplemented
205#14273714C2318yescomplemented
206#14273713C23116yescomplemented
207#14273713C23116yescomplemented
208#14273712C23116yescomplemented
209#14273712C23116yescomplemented
210#14273711C23116yescomplemented
211#14273710C23116yescomplemented
212#14273709C23116yescomplemented
213#14273709C23116yescomplemented
214#14273708C23116yescomplemented
215#14273707C2318yescomplemented
216#14273706C2318yescomplemented
217#14273705C23116yescomplemented
218#14273704C23116yescomplemented
219#14273703C2318yescomplemented
220#14273702C2318yes—
221#14273701C2318yes—
222#14273700C23116yes—
223#14273699C23116yes—
224#14273698C2318yes—
225Q8×Dic59C2318yescomplemented
226C4×Dic118C23116yescomplemented
227C4×Dic118C2318yescomplemented
228#14273692C23116yescomplemented
229#14273692C2318yescomplemented
230C4×D236C23116yescomplemented
231C4×D236C2318yescomplemented
232D4×Dic59C23116yescomplemented
233D4×Dic59C2318yescomplemented
234#14273689C23116yescomplemented
235#14273689C2318yescomplemented
236C4×C22⋊D59C23116yescomplemented
237C4×C22⋊D59C23116yescomplemented
238C4×C22⋊D59C23116yescomplemented
239(C22⋊D59)⋊C4C23116yescomplemented
240(C22⋊D59)⋊C4C23116yescomplemented
241(C22⋊D59)⋊C4C23116yescomplemented
242#14273686C23116yescomplemented
243#14273685C23116yescomplemented
244#14273685C23116yescomplemented
245#14273684C23116yescomplemented
246#14273684C23116yescomplemented
247#14273683C23116yescomplemented
248#14273683C23116yescomplemented
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2312yes—
252C2×C4⋊Dic59C2312yes—
253C2×C4⋊Dic59C2312yes—
254C2×C4⋊Dic59C2312yes—
255C2×Dic59⋊C4C2312yes—
256C2×Dic59⋊C4C2312yes—
257C2×Dic59⋊C4C2312yes—
258C2×Dic59⋊C4C2312yes—
259C2×Dic59⋊C4C2312yes—
260C2×Dic59⋊C4C2312yes—
261C2×Dic59⋊C4C2312yes—
262C2×Dic59⋊C4C2312yes—
263C2×Dic59⋊C4C2312yes—
264C2×Dic59⋊C4C2312yes—
265C4⋊C4×D59C2318yes—
266C4⋊C4×D59C2318yes—
267C4⋊C4×D59C23116yes—
268C4⋊C4×D59C23116yes—
269C4⋊C4×D59C23116yes—
270C4⋊C4×D59C23116yes—
271C2×C22⋊Dic59C2312yes—
272C2×C22⋊Dic59C2312yes—
273C2×C22⋊Dic59C2312yes—
274C2×C22⋊Dic59C2312yes—
275C2×C22⋊Dic59C2312yes—
276C2×(C2×D59)⋊C4C2312yes—
277C2×(C2×D59)⋊C4C2312yes—
278C2×(C2×D59)⋊C4C2312yes—
279C2×(C2×D59)⋊C4C2312yes—
280C2×(C2×D59)⋊C4C2312yes—
281C2×(C2×D59)⋊C4C2312yes—
282C2×(C2×D59)⋊C4C2312yes—
283C2×(C2×D59)⋊C4C2312yes—
284C2×(C2×D59)⋊C4C2312yes—
285C2×(C2×D59)⋊C4C2312yes—
286C22⋊C4×D59C23116yes—
287C22⋊C4×D59C23116yes—
288C22⋊C4×D59C23116yes—
289C22⋊C4×D59C23116yes—
290C22⋊C4×D59C23116yes—
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×Dic59C2312yes—
304C2×C4×Dic59C2312yes—
305C2×C4×Dic59C2312yes—
306C2×C4×Dic59C2318yescomplemented
307C2×C4×Dic59C2318yescomplemented
308C2×C4×Dic59C2318yescomplemented
309C42×D59C2318yes—
310C42×D59C2318yes—
311C42×D59C2318yes—
312C42×D59C2318yes—
313C42×D59C23116yes—
314C42×D59C2318yescomplemented
315C42×D59C2318yescomplemented
316C42×D59C2318yescomplemented
317C42×D59C2318yescomplemented
318C22×Q8×C59C2311yescharacteristic
319C22×D4×C59C2311yescharacteristic
320C22×D4×C59C2312yes—
321C23×C4×C59C2311yescharacteristic
322C23×C4×C59C2311yescharacteristic
323C23×C4×C59C2311yescharacteristic
324C23×C4×C59C2312yes—
325#126×C59C23116yescomplemented
326#125×C59C2318yescomplemented
327#124×C59C2318yescomplemented
328#123×C59C23116yescomplemented
329C22⋊Q8×C59C2318yescomplemented
330#121×C59C2318yes—
331C4×Q8×C59C2318yescomplemented
332C4×D4×C59C23116yescomplemented
333C4×D4×C59C2318yescomplemented
334#117×C59C23116yescomplemented
335C2×C4⋊C4×C59C2311yescharacteristic
336C2×C4⋊C4×C59C2312yes—
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C4⋊C4×C59C2312yes—
339C2×C4⋊C4×C59C2312yes—
340C2×C4⋊C4×C59C2312yes—
341C2×C22⋊C4×C59C2312yes—
342C2×C22⋊C4×C59C2312yes—
343C2×C22⋊C4×C59C2312yes—
344C2×C22⋊C4×C59C2312yes—
345C2×C22⋊C4×C59C2312yes—
346C2×C42×C59C2311yescharacteristic
347C2×C42×C59C2311yescharacteristic
348C2×C42×C59C2311yescharacteristic
349C2×C42×C59C2311yescharacteristic
350C2×C42×C59C2312yes—
351C2×C42×C59C2318yescomplemented
352C24×C59C2412yes—
353C24×C59C2411yescharacteristic
354C23×D59—24no—
355C23×D59—24no—
356C23×D59—28no—
357C23×D59—28no—
358C23×D59—28no—
359C23×D59#4118yes—
360C23×D59C2418yes—
361C23×D59C2412yes—
362C23×D59C2414yes—
363C23×D59C2411yescharacteristic
364C23×D59C2411yescharacteristic
365C2×Q8×C59—24no—
366C2×Q8×C59C2414yes—
367C2×D4×C59—28no—
368C2×D4×C59—24no—
369C2×D4×C59C2418yes—
370C2×D4×C59C2414yes—
371C22×C4×C59—24no—
372C22×C4×C59—24no—
373C22×C4×C59—24no—
374C22×C4×C59—28no—
375C22×C4×C59C2411yescharacteristic
376C22×C4×C59C2411yescharacteristic
377C22×C4×C59C2411yescharacteristic
378C22×C4×C59C2411yescharacteristic
379C22×C4×C59C2412yes—
380C22×C4×C59C2412yes—
381C22×C4×C59C2414yes—
382C22×C4×C59C2414yes—
383C22×C4×C59C2414yes—
384C22×C4×C59C2412yes—
385C22×C4×C59C2418yes—
386C22×C4×C59C2411yescharacteristic
387C22×C4×C59C2411yescharacteristic
388C2×C22⋊D59—28no—
389C2×C22⋊D59—28no—
390C2×C22⋊D59—28no—
391C2×C22⋊D59C2418yes—
392C2×C22⋊D59C2418yes—
393C2×C22⋊D59C2418yes—
394C22×Dic59—24no—
395C22×Dic59—24no—
396C22×Dic59—24no—
397C22×Dic59—28no—
398C22×Dic59C2411yescharacteristic
399C22×Dic59C2411yescharacteristic
400C22×Dic59C2411yescharacteristic
401C22×Dic59C2411yescharacteristic
402C22×Dic59C2412yes—
403C22×Dic59C2412yes—
404C22×Dic59C2414yes—
405C22×Dic59C2414yes—
406C22×Dic59C2414yes—
407C22×Dic59C2412yes—
408C22×Dic59C2418yes—
409C22×Dic59C2411yescharacteristic
410C22×Dic59C2411yescharacteristic
411Q8×D59—232no—
412D4×D59—264no—
413D4×D59—232no—
414C2×D236—28no—
415C2×D236—24no—
416C2×D236C2418yes—
417C2×D236C2414yes—
418C2×C4×D59—24no—
419C2×C4×D59—24no—
420C2×C4×D59—232no—
421C2×C4×D59—24no—
422C2×C4×D59—24no—
423C2×C4×D59—24no—
424C2×C4×D59—24no—
425C2×C4×D59—28no—
426C2×C4×D59—28no—
427C2×C4×D59—28no—
428C2×C4×D59—24no—
429C2×C4×D59—24no—
430C2×C4×D59—28no—
431C2×C4×D59—24no—
432C2×C4×D59—24no—
433C2×C4×D59—28no—
434C2×C4×D59—232no—
435C2×C4×D59—264no—
436C2×C4×D59—232no—
437C2×C4×D59#4118yes—
438C2×C4×D59#4118yes—
439C2×C4×D59C2414yes—
440C2×C4×D59C2414yes—
441C2×C4×D59C2414yes—
442C2×C4×D59C2414yes—
443C2×C4×D59C2418yes—
444C2×C4×D59C2418yes—
445C2×C4×D59C2414yes—
446C2×C4×D59C2414yes—
447C2×C4×D59C2414yes—
448C2×C4×D59C2414yes—
449C2×C4×D59C2414yes—
450C2×C4×D59C2414yes—
451C2×C4×D59C2418yes—
452C2×C4×D59C2418yes—
453C2×C4×D59C2418yes—
454C2×C4×D59C2414yes—
455C2×C4×D59C2414yes—
456C2×Dic118—24no—
457C2×Dic118—28no—
458C2×Dic118C2418yes—
459C2×Dic118C2414yes—
460C4⋊C4×C59C2418yes—
461C4⋊C4×C59C2418yes—
462C4⋊C4×C59C2414yes—
463C4⋊C4×C59C2418yes—
464C4⋊C4×C59C2414yes—
465C4⋊C4×C59C2418yes—
466C22⋊C4×C59C2418yes—
467C22⋊C4×C59C2418yes—
468C22⋊C4×C59C2418yes—
469C22⋊C4×C59C2418yes—
470C22⋊C4×C59C2418yes—
471C42×C59C2414yes—
472C42×C59C2414yes—
473C42×C59C2414yes—
474C42×C59C2414yes—
475C42×C59C2418yes—
476C22⋊Dic59C2418yes—
477C22⋊Dic59C2418yes—
478C22⋊Dic59C2418yes—
479C22⋊Dic59C2418yes—
480C22⋊Dic59C2418yes—
481(C2×D59)⋊C4C2418yes—
482(C2×D59)⋊C4C2418yes—
483(C2×D59)⋊C4C2418yes—
484(C2×D59)⋊C4C2418yes—
485(C2×D59)⋊C4C2418yes—
486(C2×D59)⋊C4C2418yes—
487(C2×D59)⋊C4C2418yes—
488(C2×D59)⋊C4C2418yes—
489(C2×D59)⋊C4C2418yes—
490(C2×D59)⋊C4C2418yes—
491C4⋊Dic59C2418yes—
492C4⋊Dic59C2418yes—
493C4⋊Dic59C2414yes—
494C4⋊Dic59C2418yes—
495C4⋊Dic59C2414yes—
496C4⋊Dic59C2418yes—
497Dic59⋊C4C2418yes—
498Dic59⋊C4C2418yes—
499Dic59⋊C4C2418yes—
500Dic59⋊C4C2418yes—
501Dic59⋊C4C2418yes—
502Dic59⋊C4C2418yes—
503Dic59⋊C4C2418yes—
504Dic59⋊C4C2418yes—
505Dic59⋊C4C2418yes—
506Dic59⋊C4C2418yes—
507C4×Dic59C2414yes—
508C4×Dic59C2414yes—
509C4×Dic59C2414yes—
510C4×Dic59C2414yes—
511C4×Dic59C2414yes—
512C4×Dic59C2414yes—
513C4×Dic59C2414yes—
514C4×Dic59C2414yes—
515C4×Dic59C2414yes—
516C4×Dic59C2414yes—
517C4×Dic59C2414yes—
518C4×Dic59C2414yes—
519C4×Dic59C2418yes—
520C4×Dic59C2418yes—
521C4×Dic59C2418yes—
522C23×C59—22no—
523C23×C59—22no—
524C23×C59—24no—
525C23×C59—24no—
526C23×C59—24no—
527C23×C59C2×#4114yes—
528C23×C59C2514yes—
529C23×C59C2512yes—
530C23×C59C2511yescharacteristic
531C22×D59—22no—
532C22×D59—22no—
533C22×D59—232no—
534C22×D59—28no—
535C22×D59—28no—
536C22×D59—24no—
537C22×D59—24no—
538C22×D59—24no—
539C22×D59—216no—
540C22×D59—216no—
541C22×D59—216no—
542C22×D59—432no—
543C22×D59C2×#4114yes—
544C22×D59C2×#41116yes—
545C22×D59C2×#4114yes—
546C22×D59C2×#4114yes—
547C22×D59C2×#4114yes—
548C22×D59C2514yes—
549C22×D59C2512yes—
550C22×D59C2512yes—
551Q8×C59—28no—
552D4×C59—216no—
553D4×C59—28no—
554C2×C4×C59—24no—
555C2×C4×C59—28no—
556C2×C4×C59—22no—
557C2×C4×C59—22no—
558C2×C4×C59—22no—
559C2×C4×C59—22no—
560C2×C4×C59—24no—
561C2×C4×C59—24no—
562C2×C4×C59—28no—
563C2×C4×C59—28no—
564C2×C4×C59—216no—
565C2×C4×C59C2×#4114yes—
566C2×C4×C59C2×#4114yes—
567C2×C4×C59C2512yes—
568C2×C4×C59C2512yes—
569C2×C4×C59C2512yes—
570C2×C4×C59C2512yes—
571C2×C4×C59C2514yes—
572C2×C4×C59C2514yes—
573C2×C4×C59C2514yes—
574C2×C4×C59C2512yes—
575C2×C4×C59C2512yes—
576C22⋊D59—216no—
577C22⋊D59—216no—
578C22⋊D59—216no—
579C2×Dic59—24no—
580C2×Dic59—28no—
581C2×Dic59—22no—
582C2×Dic59—22no—
583C2×Dic59—22no—
584C2×Dic59—22no—
585C2×Dic59—24no—
586C2×Dic59—24no—
587C2×Dic59—28no—
588C2×Dic59—28no—
589C2×Dic59—216no—
590C2×Dic59C2×#4114yes—
591C2×Dic59C2×#4114yes—
592C2×Dic59C2512yes—
593C2×Dic59C2512yes—
594C2×Dic59C2512yes—
595C2×Dic59C2512yes—
596C2×Dic59C2514yes—
597C2×Dic59C2514yes—
598C2×Dic59C2514yes—
599C2×Dic59C2512yes—
600C2×Dic59C2512yes—
601D236—216no—
602D236—28no—
603C4×D59—28no—
604C4×D59—28no—
605C4×D59—28no—
606C4×D59—28no—
607C4×D59—28no—
608C4×D59—28no—
609C4×D59—216no—
610C4×D59—216no—
611C4×D59—216no—
612C4×D59—28no—
613C4×D59—28no—
614C4×D59—216no—
615C4×D59—28no—
616C4×D59—28no—
617C4×D59—216no—
618C4×D59C2×#41116yes—
619C4×D59C2×#41116yes—
620Dic118—28no—
621Dic118—216no—
622C22×#529—591nomaximal, Sylow
623C22×C59—22no—
624C22×C59—22no—
625C22×C59—28no—
626C22×C59—24no—
627C22×C59—24no—
628C22×C59—24no—
629C22×C59—48no—
630C22×C59C22×#4114yes—
631C22×C59C22×#4112yes—
632C22×C59C22×#4112yes—
633C22×C59C22×#4112yes—
634C22×C59C2611yescharacteristic
635C2×D59—22no—
636C2×D59—22no—
637C2×D59—28no—
638C2×D59—232no—
639C2×D59—24no—
640C2×D59—24no—
641C2×D59—24no—
642C2×D59—48no—
643C2×D59—432no—
644C2×D59#529116yesdirect product factor
645C2×D59C22×#4114yes—
646C2×D59C22×#4114yes—
647C2×D59C22×#4114yes—
648C2×D59C22×#4114yes—
649C4×C59—24no—
650C4×C59—22no—
651C4×C59—22no—
652C4×C59—22no—
653C4×C59—22no—
654C4×C59—24no—
655C4×C59—24no—
656C4×C59C22×#4114yes—
657C4×C59C22×#4114yes—
658Dic59—24no—
659Dic59—22no—
660Dic59—22no—
661Dic59—22no—
662Dic59—22no—
663Dic59—24no—
664Dic59—24no—
665Dic59C22×#4114yes—
666Dic59C22×#4114yes—
667C2×#529—591no—
668C2×#529—5932no—
669C2×#529—592no—
670C2×#529—591no—
671C2×#529—591no—
672C2×#529—592no—
673C2×#529—591no—
674C2×#529—591no—
675C2×#529—591no—
676C2×#529—592no—
677C2×#529—591no—
678C2×#529—592no—
679C2×#529D5911yescharacteristic, direct product factor
680C22×#126—592no—
681C22×#125—591no—
682C22×#124—591no—
683C22×#123—592no—
684C22×C22⋊Q8—591no—
685C22×#121—591no—
686C22×C4×Q8—591no—
687C22×C4×D4—592no—
688C22×C4×D4—591no—
689C22×#117—592no—
690C23×C42—591no—
691C2×C59—24no—
692C2×C59—44no—
693C2×C59C2×#52914yescomplemented
694C2×C59C23×#4111yescharacteristic
695C2×C59C23×#4111yescharacteristic
696C2×C59C23×#4111yescharacteristic
697D59—24no—
698D59—44no—
699D59C2×#52918yesdirect product factor
700C23×Q8—591no—
701C23×D4—592no—
702C23×D4—591no—
703C24×C4—591no—
704C24×C4—591no—
705C24×C4—591no—
706C24×C4—592no—
707#529—5932no—
708#529—5916no—
709#529—5916no—
710#529—5932no—
711#529—5916no—
712#529—5916no—
713#529—5916no—
714#529—5932no—
715#529—5916no—
716#529—5932no—
717#529—5916no—
718#529C2×D59116yesdirect product factor
719C2×#126—5932no—
720C2×#126—592no—
721C2×#126—592no—
722C2×#126—592no—
723C2×#126—592no—
724C2×#126—592no—
725C2×#126—592no—
726C2×#126—592no—
727C2×#126C2×D5912yescomplemented
728C2×#125—5916no—
729C2×#125—592no—
730C2×#125—592no—
731C2×#125—591no—
732C2×#125—591no—
733C2×#125—591no—
734C2×#125C2×D5911yescharacteristic, complemented
735C2×#124—591no—
736C2×#124—591no—
737C2×#124—5916no—
738C2×#124—592no—
739C2×#124—592no—
740C2×#124—591no—
741C2×#124C2×D5911yescharacteristic, complemented
742C2×#123—592no—
743C2×#123—592no—
744C2×#123—5932no—
745C2×#123—592no—
746C2×#123—592no—
747C2×#123—592no—
748C2×#123—592no—
749C2×#123—592no—
750C2×#123C2×D5912yescomplemented
751C2×C22⋊Q8—591no—
752C2×C22⋊Q8—591no—
753C2×C22⋊Q8—5916no—
754C2×C22⋊Q8—592no—
755C2×C22⋊Q8—591no—
756C2×C22⋊Q8—592no—
757C2×C22⋊Q8C2×D5911yescharacteristic, complemented
758C2×#121—591no—
759C2×#121—592no—
760C2×#121—591no—
761C2×#121—5916no—
762C2×#121—591no—
763C2×#121—592no—
764C2×#121C2×D5911yescharacteristic
765C2×C4×Q8—591no—
766C2×C4×Q8—5916no—
767C2×C4×Q8—592no—
768C2×C4×Q8—591no—
769C2×C4×Q8—591no—
770C2×C4×Q8—592no—
771C2×C4×Q8C2×D5911yescharacteristic, complemented
772C2×C4×D4—592no—
773C2×C4×D4—591no—
774C2×C4×D4—592no—
775C2×C4×D4—592no—
776C2×C4×D4—592no—
777C2×C4×D4—5932no—
778C2×C4×D4—5916no—
779C2×C4×D4—592no—
780C2×C4×D4—591no—
781C2×C4×D4—592no—
782C2×C4×D4—592no—
783C2×C4×D4—592no—
784C2×C4×D4—592no—
785C2×C4×D4—591no—
786C2×C4×D4C2×D5912yescomplemented
787C2×C4×D4C2×D5911yescharacteristic, complemented
788C2×#117—592no—
789C2×#117—5932no—
790C2×#117—592no—
791C2×#117—592no—
792C2×#117—592no—
793C2×#117—592no—
794C2×#117—592no—
795C2×#117—592no—
796C2×#117C2×D5912yescomplemented
797C22×C4⋊C4—592no—
798C22×C4⋊C4—592no—
799C22×C4⋊C4—591no—
800C22×C4⋊C4—592no—
801C22×C4⋊C4—591no—
802C22×C4⋊C4—592no—
803C22×C22⋊C4—592no—
804C22×C22⋊C4—592no—
805C22×C22⋊C4—592no—
806C22×C22⋊C4—592no—
807C22×C22⋊C4—592no—
808C22×C42—591no—
809C22×C42—591no—
810C22×C42—591no—
811C22×C42—591no—
812C22×C42—591no—
813C22×C42—591no—
814C22×C42—591no—
815C22×C42—591no—
816C22×C42—591no—
817C22×C42—591no—
818C22×C42—591no—
819C22×C42—592no—
820C22×C42—5916no—
821C22×C42C2×D5911yescharacteristic, complemented
822C59C22×#52911yescharacteristic, complemented, Sylow
823C25—591no—
824C25—592no—
825C22×Q8—598no—
826C22×Q8—592no—
827C22×Q8—591no—
828C22×Q8—1188no—
829C22×Q8C22×D5911yescharacteristic
830C22×D4—592no—
831C22×D4—592no—
832C22×D4—592no—
833C22×D4—5916no—
834C22×D4—598no—
835C22×D4—592no—
836C22×D4—591no—
837C22×D4—1188no—
838C22×D4—11816no—
839C22×D4C22×D5912yes—
840C22×D4C22×D5911yescharacteristic
841C23×C4—591no—
842C23×C4—591no—
843C23×C4—592no—
844C23×C4—591no—
845C23×C4—591no—
846C23×C4—591no—
847C23×C4—592no—
848C23×C4—592no—
849C23×C4—591no—
850C23×C4—591no—
851C23×C4—591no—
852C23×C4—591no—
853C23×C4—592no—
854C23×C4—592no—
855C23×C4—5916no—
856C23×C4—591no—
857C23×C4—598no—
858C23×C4—591no—
859C23×C4—598no—
860C23×C4—591no—
861C23×C4—591no—
862C23×C4—591no—
863C23×C4—598no—
864C23×C4—592no—
865C23×C4—591no—
866C23×C4—1188no—
867C23×C4—11816no—
868C23×C4—1188no—
869C23×C4—1188no—
870C23×C4C22×D5911yescharacteristic
871C23×C4C22×D5911yescharacteristic
872C23×C4C22×D5912yes—
873C23×C4C22×D5911yescharacteristic
874#126—5916no—
875#126—5916no—
876#126—5916no—
877#126—5916no—
878#126—5916no—
879#126—5916no—
880#126—5916no—
881#126C22×D59116yescomplemented
882#125—5916no—
883#125—5916no—
884#125—598no—
885#125—598no—
886#125—598no—
887#125C22×D5918yescomplemented
888#124—598no—
889#124—598no—
890#124—5916no—
891#124—5916no—
892#124—598no—
893#124C22×D5918yescomplemented
894#123—5916no—
895#123—5916no—
896#123—5916no—
897#123—5916no—
898#123—5916no—
899#123—5916no—
900#123—5916no—
901#123C22×D59116yescomplemented
902C22⋊Q8—598no—
903C22⋊Q8—598no—
904C22⋊Q8—5916no—
905C22⋊Q8—598no—
906C22⋊Q8—5916no—
907C22⋊Q8C22×D5918yescomplemented
908#121—598no—
909#121—5916no—
910#121—598no—
911#121—598no—
912#121—5916no—
913#121C22×D5918yes—
914C4×Q8—598no—
915C4×Q8—5916no—
916C4×Q8—598no—
917C4×Q8—5916no—
918C4×Q8—598no—
919C4×Q8C22×D5918yescomplemented
920C4×D4—598no—
921C4×D4—5916no—
922C4×D4—5916no—
923C4×D4—5916no—
924C4×D4—5916no—
925C4×D4—598no—
926C4×D4—5916no—
927C4×D4—5916no—
928C4×D4—5916no—
929C4×D4—5916no—
930C4×D4—598no—
931C4×D4—5916no—
932C4×D4C22×D5918yescomplemented
933C4×D4C22×D59116yescomplemented
934#117—5916no—
935#117—5916no—
936#117—5916no—
937#117—5916no—
938#117—5916no—
939#117—5916no—
940#117—5916no—
941#117C22×D59116yescomplemented
942C2×C4⋊C4—592no—
943C2×C4⋊C4—592no—
944C2×C4⋊C4—592no—
945C2×C4⋊C4—592no—
946C2×C4⋊C4—592no—
947C2×C4⋊C4—592no—
948C2×C4⋊C4—592no—
949C2×C4⋊C4—591no—
950C2×C4⋊C4—592no—
951C2×C4⋊C4—592no—
952C2×C4⋊C4—592no—
953C2×C4⋊C4—592no—
954C2×C4⋊C4—591no—
955C2×C4⋊C4—592no—
956C2×C4⋊C4—592no—
957C2×C4⋊C4—592no—
958C2×C4⋊C4—5916no—
959C2×C4⋊C4—5916no—
960C2×C4⋊C4—598no—
961C2×C4⋊C4—5916no—
962C2×C4⋊C4—598no—
963C2×C4⋊C4—5916no—
964C2×C4⋊C4C22×D5912yes—
965C2×C4⋊C4C22×D5912yes—
966C2×C4⋊C4C22×D5911yescharacteristic
967C2×C4⋊C4C22×D5912yes—
968C2×C4⋊C4C22×D5911yescharacteristic
969C2×C4⋊C4C22×D5912yes—
970C2×C22⋊C4—592no—
971C2×C22⋊C4—592no—
972C2×C22⋊C4—592no—
973C2×C22⋊C4—592no—
974C2×C22⋊C4—592no—
975C2×C22⋊C4—592no—
976C2×C22⋊C4—592no—
977C2×C22⋊C4—592no—
978C2×C22⋊C4—592no—
979C2×C22⋊C4—592no—
980C2×C22⋊C4—592no—
981C2×C22⋊C4—592no—
982C2×C22⋊C4—592no—
983C2×C22⋊C4—592no—
984C2×C22⋊C4—592no—
985C2×C22⋊C4—5916no—
986C2×C22⋊C4—5916no—
987C2×C22⋊C4—5916no—
988C2×C22⋊C4—5916no—
989C2×C22⋊C4—5916no—
990C2×C22⋊C4C22×D5912yes—
991C2×C22⋊C4C22×D5912yes—
992C2×C22⋊C4C22×D5912yes—
993C2×C22⋊C4C22×D5912yes—
994C2×C22⋊C4C22×D5912yes—
995C2×C42—591no—
996C2×C42—591no—
997C2×C42—592no—
998C2×C42—592no—
999C2×C42—591no—
1000C2×C42—591no—
1001C2×C42—591no—
1002C2×C42—591no—
1003C2×C42—591no—
1004C2×C42—591no—
1005C2×C42—591no—
1006C2×C42—591no—
1007C2×C42—598no—
1008C2×C42—598no—
1009C2×C42—598no—
1010C2×C42—591no—
1011C2×C42—592no—
1012C2×C42—591no—
1013C2×C42—598no—
1014C2×C42—5916no—
1015C2×C42—598no—
1016C2×C42—598no—
1017C2×C42—598no—
1018C2×C42—598no—
1019C2×C42—598no—
1020C2×C42—598no—
1021C2×C42—598no—
1022C2×C42C22×D5911yescharacteristic
1023C2×C42C22×D5911yescharacteristic
1024C2×C42C22×D5911yescharacteristic
1025C2×C42C22×D5912yes—
1026C2×C42C22×D5911yescharacteristic
1027C2×C42C22×D5918yescomplemented
1028C24—591no—
1029C24—598no—
1030C24—594no—
1031C24—591no—
1032C24—598no—
1033C24—592no—
1034C24—1184no—
1035C24—1184no—
1036C24—1188no—
1037C24—1188no—
1038C24—1188no—
1039C24C23×D5912yes—
1040C24C23×D5911yescharacteristic
1041C2×Q8—24no—
1042C2×Q8—598no—
1043C2×Q8—594no—
1044C2×Q8—1188no—
1045C2×Q8—11832no—
1046C2×Q8—1184no—
1047C2×Q8C23×D5914yes—
1048C2×D4—28no—
1049C2×D4—24no—
1050C2×D4—598no—
1051C2×D4—598no—
1052C2×D4—598no—
1053C2×D4—598no—
1054C2×D4—594no—
1055C2×D4—1188no—
1056C2×D4—11832no—
1057C2×D4—1188no—
1058C2×D4—11864no—
1059C2×D4—1188no—
1060C2×D4—1188no—
1061C2×D4—1184no—
1062C2×D4C23×D5918yes—
1063C2×D4C23×D5914yes—
1064C22×C4—24no—
1065C22×C4—24no—
1066C22×C4—28no—
1067C22×C4—24no—
1068C22×C4—591no—
1069C22×C4—591no—
1070C22×C4—598no—
1071C22×C4—598no—
1072C22×C4—594no—
1073C22×C4—594no—
1074C22×C4—591no—
1075C22×C4—591no—
1076C22×C4—591no—
1077C22×C4—591no—
1078C22×C4—594no—
1079C22×C4—594no—
1080C22×C4—594no—
1081C22×C4—592no—
1082C22×C4—592no—
1083C22×C4—592no—
1084C22×C4—598no—
1085C22×C4—594no—
1086C22×C4—594no—
1087C22×C4—594no—
1088C22×C4—594no—
1089C22×C4—594no—
1090C22×C4—594no—
1091C22×C4—594no—
1092C22×C4—594no—
1093C22×C4—594no—
1094C22×C4—594no—
1095C22×C4—598no—
1096C22×C4—598no—
1097C22×C4—598no—
1098C22×C4—598no—
1099C22×C4—598no—
1100C22×C4—1184no—
1101C22×C4—1188no—
1102C22×C4—1184no—
1103C22×C4—11832no—
1104C22×C4—11864no—
1105C22×C4—11832no—
1106C22×C4—1188no—
1107C22×C4—1184no—
1108C22×C4—1184no—
1109C22×C4—1184no—
1110C22×C4—1184no—
1111C22×C4—11832no—
1112C22×C4—1184no—
1113C22×C4—1184no—
1114C22×C4—1188no—
1115C22×C4—1188no—
1116C22×C4—1184no—
1117C22×C4—1188no—
1118C22×C4—1184no—
1119C22×C4—1184no—
1120C22×C4—1184no—
1121C22×C4—1188no—
1122C22×C4—1184no—
1123C22×C4C23×D5911yescharacteristic
1124C22×C4C23×D5911yescharacteristic
1125C22×C4C23×D5911yescharacteristic
1126C22×C4C23×D5911yescharacteristic
1127C22×C4C23×D5914yes—
1128C22×C4C23×D5914yes—
1129C22×C4C23×D5914yes—
1130C22×C4C23×D5912yes—
1131C22×C4C23×D5912yes—
1132C22×C4C23×D5912yes—
1133C22×C4C23×D5918yes—
1134C22×C4C23×D5911yescharacteristic
1135C22×C4C23×D5911yescharacteristic
1136C4⋊C4—598no—
1137C4⋊C4—598no—
1138C4⋊C4—598no—
1139C4⋊C4—598no—
1140C4⋊C4—598no—
1141C4⋊C4—598no—
1142C4⋊C4—598no—
1143C4⋊C4—594no—
1144C4⋊C4—598no—
1145C4⋊C4—598no—
1146C4⋊C4—598no—
1147C4⋊C4—598no—
1148C4⋊C4—594no—
1149C4⋊C4—598no—
1150C4⋊C4—598no—
1151C4⋊C4—598no—
1152C4⋊C4C23×D5918yes—
1153C4⋊C4C23×D5918yes—
1154C4⋊C4C23×D5914yes—
1155C4⋊C4C23×D5918yes—
1156C4⋊C4C23×D5914yes—
1157C4⋊C4C23×D5918yes—
1158C22⋊C4—598no—
1159C22⋊C4—598no—
1160C22⋊C4—598no—
1161C22⋊C4—598no—
1162C22⋊C4—598no—
1163C22⋊C4—598no—
1164C22⋊C4—598no—
1165C22⋊C4—598no—
1166C22⋊C4—598no—
1167C22⋊C4—598no—
1168C22⋊C4—598no—
1169C22⋊C4—598no—
1170C22⋊C4—598no—
1171C22⋊C4—598no—
1172C22⋊C4—598no—
1173C22⋊C4C23×D5918yes—
1174C22⋊C4C23×D5918yes—
1175C22⋊C4C23×D5918yes—
1176C22⋊C4C23×D5918yes—
1177C22⋊C4C23×D5918yes—
1178C42—594no—
1179C42—594no—
1180C42—594no—
1181C42—594no—
1182C42—594no—
1183C42—594no—
1184C42—594no—
1185C42—594no—
1186C42—594no—
1187C42—594no—
1188C42—594no—
1189C42—594no—
1190C42—598no—
1191C42—598no—
1192C42—598no—
1193C42C23×D5914yes—
1194C42C23×D5914yes—
1195C42C23×D5914yes—
1196C42C23×D5914yes—
1197C42C23×D5918yes—
1198C23—22no—
1199C23—22no—
1200C23—24no—
1201C23—24no—
1202C23—24no—
1203C23—594no—
1204C23—594no—
1205C23—594no—
1206C23—592no—
1207C23—5916no—
1208C23—594no—
1209C23—592no—
1210C23—594no—
1211C23—1188no—
1212C23—1188no—
1213C23—11832no—
1214C23—11816no—
1215C23—11816no—
1216C23—11816no—
1217C23—1182no—
1218C23—1182no—
1219C23—1184no—
1220C23—1184no—
1221C23—1184no—
1222C23—23632no—
1223C23#41×D5914yes—
1224C23C24×D5914yes—
1225C23C24×D5912yes—
1226C23C24×D5911yescharacteristic
1227Q8—28no—
1228Q8—11816no—
1229Q8—1188no—
1230D4—216no—
1231D4—28no—
1232D4—11816no—
1233D4—11816no—
1234D4—11816no—
1235D4—11816no—
1236D4—1188no—
1237C2×C4—28no—
1238C2×C4—22no—
1239C2×C4—22no—
1240C2×C4—22no—
1241C2×C4—22no—
1242C2×C4—24no—
1243C2×C4—24no—
1244C2×C4—24no—
1245C2×C4—28no—
1246C2×C4—216no—
1247C2×C4—28no—
1248C2×C4—594no—
1249C2×C4—594no—
1250C2×C4—592no—
1251C2×C4—592no—
1252C2×C4—5916no—
1253C2×C4—5916no—
1254C2×C4—592no—
1255C2×C4—592no—
1256C2×C4—592no—
1257C2×C4—592no—
1258C2×C4—594no—
1259C2×C4—594no—
1260C2×C4—594no—
1261C2×C4—1188no—
1262C2×C4—11816no—
1263C2×C4—1188no—
1264C2×C4—1188no—
1265C2×C4—1188no—
1266C2×C4—11816no—
1267C2×C4—1188no—
1268C2×C4—1188no—
1269C2×C4—1188no—
1270C2×C4—1188no—
1271C2×C4—11816no—
1272C2×C4—11816no—
1273C2×C4—1188no—
1274C2×C4—11816no—
1275C2×C4—1188no—
1276C2×C4—1188no—
1277C2×C4—1182no—
1278C2×C4—1182no—
1279C2×C4—1182no—
1280C2×C4—1182no—
1281C2×C4—1184no—
1282C2×C4—1184no—
1283C2×C4—1184no—
1284C2×C4—1188no—
1285C2×C4—11816no—
1286C2×C4—1188no—
1287C2×C4#41×D5914yes—
1288C2×C4#41×D5914yes—
1289C2×C4C24×D5912yes—
1290C2×C4C24×D5912yes—
1291C2×C4C24×D5912yes—
1292C2×C4C24×D5912yes—
1293C2×C4C24×D5914yes—
1294C2×C4C24×D5914yes—
1295C2×C4C24×D5914yes—
1296C2×C4C24×D5912yes—
1297C2×C4C24×D5912yes—
1298C22—28no—
1299C22—22no—
1300C22—22no—
1301C22—24no—
1302C22—24no—
1303C22—24no—
1304C22—48no—
1305C22—5916no—
1306C22—594no—
1307C22—594no—
1308C22—594no—
1309C22—594no—
1310C22—11832no—
1311C22—1188no—
1312C22—1182no—
1313C22—1182no—
1314C22—1184no—
1315C22—1184no—
1316C22—1184no—
1317C22—23632no—
1318C22—2368no—
1319C22C2×#41×D5914yes—
1320C22C2×#41×D5912yes—
1321C22C2×#41×D5912yes—
1322C22C2×#41×D5912yes—
1323C22C25×D5911yescharacteristic
1324C4—22no—
1325C4—22no—
1326C4—22no—
1327C4—22no—
1328C4—24no—
1329C4—24no—
1330C4—24no—
1331C4—594no—
1332C4—594no—
1333C4—1182no—
1334C4—1182no—
1335C4—1182no—
1336C4—1182no—
1337C4—1184no—
1338C4—1184no—
1339C4—1184no—
1340C4C2×#41×D5914yes—
1341C4C2×#41×D5914yes—
1342C2—24no—
1343C2—44no—
1344C2—598no—
1345C2—1184no—
1346C2—2364no—
1347C2#529×D5914yesdirect product factor
1348C2C22×#41×D5911yescharacteristic
1349C2C22×#41×D5911yescharacteristic
1350C2C22×#41×D5911yescharacteristic
subgroupG/H
centerC22×C4C23×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#529C2
socleC23×C59C25
prime radicalC2×#121×D59C2
hypercenterC2×#529D59
hypocenterC59C22×#529
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C22×C4 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. C2×#16837939C2semidirect
2. C2×#16837938C2semidirect
3. C2×#16837937C2semidirect
4. C2×#16837936C2semidirect
5. C2×#16837935C2semidirect
6. C2×#16837934C2semidirect
7. C2×#16837933C2semidirect
8. C2×#16837932C2semidirect
9. C2×#16837931C2semidirect
10. C2×#16837930C2semidirect
11. C2×#16837929C2semidirect
12. #529×D59C2direct (N × H)
13. C2×#126×D59C2semidirect
14. C2×#125×D59C2semidirect
15. C2×#124×D59C2semidirect
16. C2×#123×D59C2semidirect
17. C2×C22⋊Q8×D59C2semidirect
19. C2×C4×Q8×D59C2semidirect
20. C2×C4×D4×D59C2semidirect
21. C2×C4×D4×D59C2semidirect
22. C2×#117×D59C2semidirect
23. C22×C42×D59C2semidirect
24. C2×C59×#529C2semidirect
32. #16837939C22semidirect
33. #16837938C22semidirect
34. #16837937C22semidirect
35. #16837936C22semidirect
36. #16837935C22semidirect
37. #16837934C22semidirect
38. #16837933C22semidirect
39. #16837932C22semidirect
40. #16837931C22semidirect
41. #16837930C22semidirect
42. #16837929C22semidirect
43. C2×#14273722C22semidirect
44. C2×#14273722C22semidirect
45. C2×#14273722C22semidirect
46. C2×#14273721C22semidirect
47. C2×#14273720C22semidirect
48. C2×#14273720C22semidirect
49. C2×#14273720C22semidirect
50. #126×D59C22semidirect
51. C2×#14273719C22semidirect
52. C2×#14273718C22semidirect
53. C2×#14273718C22semidirect
54. C2×#14273717C22semidirect
55. C2×#14273717C22semidirect
56. #125×D59C22semidirect
57. C2×#14273716C22semidirect
58. C2×#14273715C22semidirect
59. C2×#14273714C22semidirect
60. C2×#14273713C22semidirect
61. C2×#14273713C22semidirect
62. #124×D59C22semidirect
63. C2×#14273712C22semidirect
64. C2×#14273712C22semidirect
65. C2×#14273711C22semidirect
66. C2×#14273710C22semidirect
67. C2×#14273709C22semidirect
68. C2×#14273709C22semidirect
69. C2×#14273708C22semidirect
70. #123×D59C22semidirect
71. C2×#14273707C22semidirect
72. C2×#14273706C22semidirect
73. C2×#14273705C22semidirect
74. C2×#14273704C22semidirect
75. C2×#14273703C22semidirect
76. C22⋊Q8×D59C22semidirect
83. C2×Q8×Dic59C22semidirect
84. C2×C4×Dic118C22semidirect
85. C2×C4×Dic118C22semidirect
86. C2×#14273692C22semidirect
87. C2×#14273692C22semidirect
88. C4×Q8×D59C22semidirect
89. C2×C4×D236C22semidirect
90. C2×C4×D236C22semidirect
91. C2×D4×Dic59C22semidirect
92. C2×D4×Dic59C22semidirect
93. C2×#14273689C22semidirect
94. C2×#14273689C22semidirect
95. C2×C4×C22⋊D59C22semidirect
96. C2×C4×C22⋊D59C22semidirect
97. C2×C4×C22⋊D59C22semidirect
98. C2×(C22⋊D59)⋊C4C22semidirect
99. C2×(C22⋊D59)⋊C4C22semidirect
100. C2×(C22⋊D59)⋊C4C22semidirect
101. C4×D4×D59C22semidirect
102. C4×D4×D59C22semidirect
103. C2×#14273686C22semidirect
104. C2×#14273685C22semidirect
105. C2×#14273685C22semidirect
106. C2×#14273684C22semidirect
107. C2×#14273684C22semidirect
108. C2×#14273683C22semidirect
109. C2×#14273683C22semidirect
110. #117×D59C22semidirect
122. C22×C4×Dic59C22semidirect
123. C22×C4×Dic59C22semidirect
124. C22×C4×Dic59C22semidirect
130. C2×C42×D59C22semidirect
131. C2×C42×D59C22semidirect
132. C2×C42×D59C22semidirect
133. C2×C42×D59C22semidirect
134. C2×C42×D59C22semidirect
135. C59×#529C22semidirect
136. C2×#126×C59C22semidirect
137. C2×#125×C59C22semidirect
138. C2×#124×C59C22semidirect
139. C2×#123×C59C22semidirect
140. C2×C22⋊Q8×C59C22semidirect
142. C2×C4×Q8×C59C22semidirect
143. C2×C4×D4×C59C22semidirect
144. C2×C4×D4×C59C22semidirect
145. C2×#117×C59C22semidirect
146. C22×C42×C59C22semidirect
191. #14273722C23semidirect
192. #14273722C23semidirect
193. #14273722C23semidirect
194. #14273721C23semidirect
195. #14273720C23semidirect
196. #14273720C23semidirect
197. #14273720C23semidirect
198. #14273719C23semidirect
199. #14273718C23semidirect
200. #14273718C23semidirect
201. #14273717C23semidirect
202. #14273717C23semidirect
203. #14273716C23semidirect
204. #14273715C23semidirect
205. #14273714C23semidirect
206. #14273713C23semidirect
207. #14273713C23semidirect
208. #14273712C23semidirect
209. #14273712C23semidirect
210. #14273711C23semidirect
211. #14273710C23semidirect
212. #14273709C23semidirect
213. #14273709C23semidirect
214. #14273708C23semidirect
215. #14273707C23semidirect
216. #14273706C23semidirect
217. #14273705C23semidirect
218. #14273704C23semidirect
219. #14273703C23semidirect
225. Q8×Dic59C23semidirect
226. C4×Dic118C23semidirect
227. C4×Dic118C23semidirect
228. #14273692C23semidirect
229. #14273692C23semidirect
230. C4×D236C23semidirect
231. C4×D236C23semidirect
232. D4×Dic59C23semidirect
233. D4×Dic59C23semidirect
234. #14273689C23semidirect
235. #14273689C23semidirect
236. C4×C22⋊D59C23semidirect
237. C4×C22⋊D59C23semidirect
238. C4×C22⋊D59C23semidirect
239. (C22⋊D59)⋊C4C23semidirect
240. (C22⋊D59)⋊C4C23semidirect
241. (C22⋊D59)⋊C4C23semidirect
242. #14273686C23semidirect
243. #14273685C23semidirect
244. #14273685C23semidirect
245. #14273684C23semidirect
246. #14273684C23semidirect
247. #14273683C23semidirect
248. #14273683C23semidirect
306. C2×C4×Dic59C23semidirect
307. C2×C4×Dic59C23semidirect
308. C2×C4×Dic59C23semidirect
314. C42×D59C23semidirect
315. C42×D59C23semidirect
316. C42×D59C23semidirect
317. C42×D59C23semidirect
325. #126×C59C23semidirect
326. #125×C59C23semidirect
327. #124×C59C23semidirect
328. #123×C59C23semidirect
329. C22⋊Q8×C59C23semidirect
331. C4×Q8×C59C23semidirect
332. C4×D4×C59C23semidirect
333. C4×D4×C59C23semidirect
334. #117×C59C23semidirect
351. C2×C42×C59C23semidirect
644. C2×D59#529direct (N × H)
679. C2×#529D59direct (N × H)
693. C2×C59C2×#529semidirect
699. D59C2×#529direct (N × H)
718. #529C2×D59direct (N × H)
727. C2×#126C2×D59semidirect
734. C2×#125C2×D59semidirect
741. C2×#124C2×D59semidirect
750. C2×#123C2×D59semidirect
757. C2×C22⋊Q8C2×D59semidirect
771. C2×C4×Q8C2×D59semidirect
786. C2×C4×D4C2×D59semidirect
787. C2×C4×D4C2×D59semidirect
796. C2×#117C2×D59semidirect
821. C22×C42C2×D59semidirect
822. C59C22×#529semidirect
881. #126C22×D59semidirect
887. #125C22×D59semidirect
893. #124C22×D59semidirect
901. #123C22×D59semidirect
907. C22⋊Q8C22×D59semidirect
919. C4×Q8C22×D59semidirect
932. C4×D4C22×D59semidirect
933. C4×D4C22×D59semidirect
941. #117C22×D59semidirect
1027. C2×C42C22×D59semidirect
1347. C2#529×D59direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168379392
C2×#168379382
C2×#168379372
C2×#168379362
C2×#168379352
C2×#168379342
C2×#168379332
C2×#168379322
C2×#168379312
C2×#168379302
C2×#168379292
#529×D592
C2×#126×D592
C2×#125×D592
C2×#124×D592
C2×#123×D592
C2×C22⋊Q8×D592
C2×#121×D592
C2×C4×Q8×D592
C2×C4×D4×D592
C2×#117×D592
C22×C42×D592
C2×C59×#5292
C22×#52959