Finite Group Databasebeta

← C2×#21438035 #29496661

Subgroups — C2×#21438035 #29496661

Order 15104.

8082 conjugacy classes of subgroups.

The subgroup lattice has 1356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438035C2132yesmaximal, direct product factor
2C2×#16838112C211yesmaximal, characteristic, complemented
3C2×#16838102C211yesmaximal, characteristic, complemented
4C2×#16838097C212yesmaximal, complemented
5C2×#16838093C211yesmaximal, characteristic, complemented
6C2×#16838082C212yesmaximal, complemented
7C2×#16838081C212yesmaximal, complemented
8C2×#16838057C211yesmaximal, characteristic, complemented
9C2×#16838045C211yesmaximal, characteristic, complemented
10C2×#16838045C211yesmaximal, characteristic, complemented
11C2×#16838044C212yesmaximal, complemented
12C2×#16838037C211yesmaximal, characteristic, complemented
13C2×#16838021C211yesmaximal, characteristic, complemented
14C2×#16838006C211yesmaximal, characteristic, complemented
15C2×#16837995C212yesmaximal, complemented
16C2×#16837986C212yesmaximal, complemented
17C2×#16837939C211yesmaximal, characteristic, complemented
18C2×#16837931C211yesmaximal, characteristic, complemented
19C2×#16837911C212yesmaximal, complemented
20C2×#123×D59C212yesmaximal, complemented
21C2×#16837884C211yesmaximal, characteristic, complemented
22C2×#16837874C211yesmaximal, characteristic, complemented
23C2×C4×D4×D59C211yesmaximal, characteristic, complemented
24C2×C59×#559C211yesmaximal, characteristic, complemented
25C22×#11745689C2211yescharacteristic
26C22×#11745685C2212yescomplemented
27C22×D4×D59C2211yescharacteristic
28C22×D4×D59C2211yescharacteristic
29C22×D4×D59C2212yes—
30C23×C4×D59C2212yescomplemented
31#16838112C22116yescomplemented
32#16838102C22116yescomplemented
33#16838097C22132yescomplemented
34#16838093C22116yescomplemented
35#16838082C22132yescomplemented
36#16838081C22132yescomplemented
37#16838057C22116yescomplemented
38#16838045C22116yescomplemented
39#16838045C22116yescomplemented
40#16838044C22132yescomplemented
41#16838037C22116yescomplemented
42#16838021C22116yescomplemented
43#16838006C22116yescomplemented
44#16837995C22132yescomplemented
45#16837986C22132yescomplemented
46C2×#14273727C2211yescharacteristic, complemented
47#16837939C22116yescomplemented
48#16837931C22116yescomplemented
49C2×#14273722C2211yescharacteristic, complemented
50C2×#14273722C2211yescharacteristic, complemented
51C2×#14273721C2212yescomplemented
52C2×#14273720C2212yescomplemented
53C2×#14273720C2212yescomplemented
54C2×#14273720C2212yescomplemented
55C2×#14273719C2211yescharacteristic, complemented
56C2×#14273719C2211yescharacteristic, complemented
57C2×#14273718C2211yescharacteristic, complemented
58C2×#14273717C2212yescomplemented
59C2×#14273716C2211yescharacteristic, complemented
60C2×#14273713C2212yescomplemented
61#16837911C22132yescomplemented
62C2×#14273712C2212yes—
63C2×#14273712C2211yescharacteristic
64C2×#14273712C2211yescharacteristic, complemented
65C2×#14273711C2212yescomplemented
66C2×#14273710C2212yescomplemented
67C2×#14273709C2212yescomplemented
68C2×#14273709C2212yescomplemented
69C2×#14273709C2212yescomplemented
70C2×#14273709C2212yescomplemented
71C2×#14273709C2212yescomplemented
72C2×#14273708C2212yescomplemented
73C2×#14273708C2212yescomplemented
74#123×D59C22132yescomplemented
75C2×#14273706C2212yescomplemented
76C2×#14273705C2212yescomplemented
77C2×#14273705C2212yescomplemented
78C2×#14273704C2212yescomplemented
79C2×#14273703C2211yescharacteristic, complemented
80C2×#14273703C2211yescharacteristic, complemented
81C2×#14273703C2211yescharacteristic, complemented
82C2×#14273703C2212yescomplemented
83C2×#14273702C2211yescharacteristic
84C2×#14273700C2212yescomplemented
85C2×#14273700C2212yescomplemented
86C2×#14273700C2212yescomplemented
87C2×#14273699C2212yescomplemented
88C2×#14273699C2212yescomplemented
89C2×#14273698C2212yes—
90C2×#14273698C2211yescharacteristic
91C2×#14273698C2211yescharacteristic
92C2×#14273698C2211yescharacteristic, complemented
93C2×#14273698C2211yescharacteristic, complemented
94C2×#14273697C2212yescomplemented
95C2×#14273697C2212yescomplemented
96C2×#14273695C2212yes—
97C2×#14273695C2212yes—
98#16837884C22116yescomplemented
99#16837874C22116yescomplemented
100C2×Q8×Dic59C2211yescharacteristic, complemented
101C2×C4×D236C2211yescharacteristic
102C2×C4×D236C2211yescharacteristic
103C2×C4×D236C2211yescharacteristic
104C2×C4×D236C2211yescharacteristic
105C2×C4×D236C2211yescharacteristic, complemented
106C2×C4×D236C2211yescharacteristic, complemented
107C2×C4×D236C2212yescomplemented
108C2×D4×Dic59C2211yescharacteristic, complemented
109C2×D4×Dic59C2211yescharacteristic, complemented
110C2×#14273689C2211yescharacteristic
111C2×#14273689C2212yescomplemented
112C2×C4×C22⋊D59C2212yescomplemented
113C2×C4×C22⋊D59C2212yescomplemented
114C2×C4×C22⋊D59C2212yescomplemented
115C2×(C22⋊D59)⋊C4C2212yescomplemented
116C2×(C22⋊D59)⋊C4C2212yescomplemented
117C2×(C22⋊D59)⋊C4C2212yescomplemented
118C4×D4×D59C22116yescomplemented
119C2×#14273685C2211yescharacteristic, complemented
120C2×#14273684C2211yescharacteristic, complemented
121C2×#14273684C2211yescharacteristic, complemented
122C2×#14273684C2212yescomplemented
123C2×#14273684C2212yescomplemented
124C2×#14273683C2212yescomplemented
125C2×C4⋊C4×D59C2212yescomplemented
126C2×C4⋊C4×D59C2211yescharacteristic, complemented
127C2×C4⋊C4×D59C2211yescharacteristic, complemented
128C2×C4⋊C4×D59C2212yescomplemented
129C22×(C2×D59)⋊C4C2212yescomplemented
130C2×C22⋊C4×D59C2212yescomplemented
131C2×C22⋊C4×D59C2212yescomplemented
132C2×C22⋊C4×D59C2212yescomplemented
133C2×C22⋊C4×D59C2212yescomplemented
134C2×C42×D59C2211yescharacteristic, complemented
135C59×#559C22116yescomplemented
136C2×#127×C59C2211yescharacteristic
137C2×#124×C59C2211yescharacteristic, complemented
138C2×#124×C59C2211yescharacteristic, complemented
139C2×#124×C59C2212yescomplemented
140C2×#123×C59C2212yescomplemented
141C2×#123×C59C2212yescomplemented
142C2×C4×Q8×C59C2211yescharacteristic, complemented
143C2×C4×Q8×C59C2211yescharacteristic, complemented
144C2×C4×D4×C59C2211yescharacteristic, complemented
145C2×C4×D4×C59C2211yescharacteristic, complemented
146C2×C4×D4×C59C2212yescomplemented
147C24×D59C2312yes—
148C24×D59C2312yes—
149C2×#11745689—28no—
150C2×#11745689C2318yes—
151C2×#11745685—48no—
152C2×#11745685C23116yescomplemented
153C22×Dic118C2312yes—
154C22×D236C2312yes—
155C22×D236C2311yescharacteristic
156C22×D236C2311yescharacteristic
157C22×D236C2311yescharacteristic
158C22×D236C2311yescharacteristic
159C22×C22⋊D59C2312yes—
160C22×C22⋊D59C2312yes—
161C22×C22⋊D59C2312yes—
162C22×C22⋊D59C2312yes—
163C22×C22⋊D59C2312yes—
164C22×C22⋊D59C2312yes—
165C2×D4×D59—28no—
166C2×D4×D59—28no—
167C2×D4×D59—48no—
168C2×D4×D59C2318yes—
169C2×D4×D59C2318yes—
170C2×D4×D59C23116yes—
171C23×Dic59C2312yes—
172C23×Dic59C2312yes—
173C22×C4×D59—48no—
174C22×C4×D59C2311yescharacteristic
175C22×C4×D59C2311yescharacteristic
176C22×C4×D59C2311yescharacteristic
177C22×C4×D59C2311yescharacteristic
178C22×C4×D59C2312yes—
179C22×C4×D59C2312yes—
180C22×C4×D59C2312yes—
181C22×C4×D59C2312yes—
182C22×C4×D59C2312yes—
183C22×C4×D59C2312yes—
184C22×C4×D59C2311yescharacteristic
185C22×C4×D59C2312yes—
186C22×C4×D59C23116yescomplemented
187#14273727C2318yescomplemented
188#14273722C2318yescomplemented
189#14273722C2318yescomplemented
190#14273721C23116yescomplemented
191#14273720C23116yescomplemented
192#14273720C23116yescomplemented
193#14273720C23116yescomplemented
194#14273719C2318yescomplemented
195#14273719C2318yescomplemented
196#14273718C2318yescomplemented
197#14273717C23116yescomplemented
198#14273716C2318yescomplemented
199#14273713C23116yescomplemented
200#14273712C2318yes—
201#14273712C23116yes—
202#14273712C2318yescomplemented
203#14273711C23116yescomplemented
204#14273710C23116yescomplemented
205#14273709C23116yescomplemented
206#14273709C23116yescomplemented
207#14273709C23116yescomplemented
208#14273709C23116yescomplemented
209#14273709C23116yescomplemented
210#14273708C23116yescomplemented
211#14273708C23116yescomplemented
212#14273706C23116yescomplemented
213#14273705C23116yescomplemented
214#14273705C23116yescomplemented
215#14273704C23116yescomplemented
216#14273703C2318yescomplemented
217#14273703C2318yescomplemented
218#14273703C23116yescomplemented
219#14273703C2318yescomplemented
220#14273702C2318yes—
221#14273700C23116yescomplemented
222#14273700C23116yescomplemented
223#14273700C23116yescomplemented
224#14273699C23116yescomplemented
225#14273699C23116yescomplemented
226#14273698C2318yes—
227#14273698C23116yes—
228#14273698C2318yes—
229#14273698C2318yescomplemented
230#14273698C2318yescomplemented
231#14273697C23116yescomplemented
232#14273697C23116yescomplemented
233#14273695C23116yes—
234#14273695C23116yes—
235Q8×Dic59C2318yescomplemented
236C4×D236C2318yes—
237C4×D236C2318yes—
238C4×D236C2318yes—
239C4×D236C2318yes—
240C4×D236C23116yescomplemented
241C4×D236C2318yescomplemented
242C4×D236C2318yescomplemented
243D4×Dic59C2318yescomplemented
244D4×Dic59C2318yescomplemented
245#14273689C2318yes—
246#14273689C23116yescomplemented
247C4×C22⋊D59C23116yescomplemented
248C4×C22⋊D59C23116yescomplemented
249C4×C22⋊D59C23116yescomplemented
250(C22⋊D59)⋊C4C23116yescomplemented
251(C22⋊D59)⋊C4C23116yescomplemented
252(C22⋊D59)⋊C4C23116yescomplemented
253#14273685C2318yescomplemented
254#14273684C23116yescomplemented
255#14273684C2318yescomplemented
256#14273684C2318yescomplemented
257#14273684C23116yescomplemented
258#14273683C23116yescomplemented
259C2×C4⋊Dic59C2311yescharacteristic
260C2×C4⋊Dic59C2311yescharacteristic
261C2×C4⋊Dic59C2311yescharacteristic
262C2×C4⋊Dic59C2311yescharacteristic
263C2×C4⋊Dic59C2312yes—
264C2×C4⋊Dic59C2311yescharacteristic
265C2×C4⋊Dic59C2312yes—
266C2×C4⋊Dic59C2311yescharacteristic
267C2×Dic59⋊C4C2312yes—
268C2×Dic59⋊C4C2312yes—
269C2×Dic59⋊C4C2312yes—
270C2×Dic59⋊C4C2312yes—
271C2×Dic59⋊C4C2312yes—
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2312yes—
276C2×Dic59⋊C4C2312yes—
277C2×Dic59⋊C4C2312yes—
278C2×Dic59⋊C4C2311yescharacteristic
279C4⋊C4×D59C23116yescomplemented
280C4⋊C4×D59C23116yescomplemented
281C4⋊C4×D59C2318yescomplemented
282C4⋊C4×D59C2318yescomplemented
283C2×C22⋊Dic59C2312yes—
284C2×C22⋊Dic59C2312yes—
285C2×C22⋊Dic59C2312yes—
286C2×C22⋊Dic59C2312yes—
287C2×C22⋊Dic59C2312yes—
288C2×C22⋊Dic59C2312yes—
289C2×(C2×D59)⋊C4C2312yes—
290C2×(C2×D59)⋊C4C2312yes—
291C2×(C2×D59)⋊C4C2312yes—
292C2×(C2×D59)⋊C4C2312yes—
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2312yes—
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2312yes—
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2312yes—
306C2×(C2×D59)⋊C4C23116yescomplemented
307C22⋊C4×D59C23116yescomplemented
308C22⋊C4×D59C23116yescomplemented
309C22⋊C4×D59C23116yescomplemented
310C22⋊C4×D59C23116yescomplemented
311C2×C4×Dic59C2312yes—
312C2×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2312yes—
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C42×D59C2318yescomplemented
317C22×Q8×C59C2311yescharacteristic
318C22×Q8×C59C2311yescharacteristic
319C22×D4×C59C2311yescharacteristic
320C22×D4×C59C2311yescharacteristic
321C22×D4×C59C2312yes—
322C22×D4×C59C2312yes—
323C23×C4×C59C2312yes—
324C23×C4×C59C2312yes—
325#127×C59C2318yes—
326#124×C59C2318yescomplemented
327#124×C59C23116yescomplemented
328#124×C59C2318yescomplemented
329#123×C59C23116yescomplemented
330#123×C59C23116yescomplemented
331C4×Q8×C59C2318yescomplemented
332C4×Q8×C59C2318yescomplemented
333C4×D4×C59C23116yescomplemented
334C4×D4×C59C2318yescomplemented
335C4×D4×C59C2318yescomplemented
336C2×C4⋊C4×C59C2311yescharacteristic
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C4⋊C4×C59C2312yes—
339C2×C4⋊C4×C59C2311yescharacteristic
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C22⋊C4×C59C2312yes—
342C2×C22⋊C4×C59C2312yes—
343C2×C22⋊C4×C59C2312yes—
344C2×C22⋊C4×C59C2312yes—
345C2×C22⋊C4×C59C2312yes—
346C2×C22⋊C4×C59C2312yes—
347C2×C42×C59C2311yescharacteristic
348C2×C42×C59C2311yescharacteristic
349C2×C42×C59C2312yes—
350C2×C42×C59C2311yescharacteristic
351C24×C59C2412yes—
352C24×C59C2412yes—
353C23×D59—28no—
354C23×D59—28no—
355C23×D59—28no—
356C23×D59—44no—
357C23×D59—44no—
358C23×D59—44no—
359C23×D59C2411yescharacteristic
360C23×D59C2411yescharacteristic
361C23×D59C2418yes—
362C23×D59C2412yes—
363C23×D59C2411yescharacteristic
364C23×D59C2418yes—
365C2×Q8×C59—24no—
366C2×Q8×C59—42no—
367C2×Q8×C59C2414yes—
368C2×Q8×C59C2414yes—
369C2×D4×C59—24no—
370C2×D4×C59—24no—
371C2×D4×C59—44no—
372C2×D4×C59—44no—
373C2×D4×C59C2414yes—
374C2×D4×C59C2414yes—
375C2×D4×C59C2418yes—
376C2×D4×C59C2418yes—
377C22×C4×C59—44no—
378C22×C4×C59—44no—
379C22×C4×C59C2411yescharacteristic
380C22×C4×C59C2412yes—
381C22×C4×C59C2411yescharacteristic
382C22×C4×C59C2411yescharacteristic
383C22×C4×C59C2411yescharacteristic
384C22×C4×C59C2412yes—
385C22×C4×C59C2411yescharacteristic
386C22×C4×C59C2411yescharacteristic
387C22×C4×C59C2418yes—
388C22×C4×C59C2418yes—
389C22×C4×C59C2411yescharacteristic
390C2×C22⋊D59—28no—
391C2×C22⋊D59—28no—
392C2×C22⋊D59—28no—
393C2×C22⋊D59—44no—
394C2×C22⋊D59—44no—
395C2×C22⋊D59—44no—
396C2×C22⋊D59C2418yes—
397C2×C22⋊D59C2418yes—
398C2×C22⋊D59C2418yes—
399C2×C22⋊D59C2418yes—
400C2×C22⋊D59C2418yes—
401C2×C22⋊D59C2418yes—
402C22×Dic59—44no—
403C22×Dic59—44no—
404C22×Dic59C2411yescharacteristic
405C22×Dic59C2411yescharacteristic
406C22×Dic59C2411yescharacteristic
407C22×Dic59C2411yescharacteristic
408C22×Dic59C2412yes—
409C22×Dic59C2412yes—
410C22×Dic59C2411yescharacteristic
411C22×Dic59C2412yes—
412C22×Dic59C2418yes—
413C22×Dic59C2418yes—
414#11745689—232no—
415D4×D59—232no—
416D4×D59—232no—
417D4×D59—432no—
418#11745685—432no—
419C2×D236—28no—
420C2×D236—24no—
421C2×D236—24no—
422C2×D236—42no—
423C2×D236#4118yescomplemented
424C2×D236C2418yes—
425C2×D236C2414yes—
426C2×D236C2414yes—
427C2×D236C2414yes—
428C2×D236C2414yes—
429C2×C4×D59—28no—
430C2×C4×D59—24no—
431C2×C4×D59—28no—
432C2×C4×D59—24no—
433C2×C4×D59—24no—
434C2×C4×D59—24no—
435C2×C4×D59—432no—
436C2×C4×D59—44no—
437C2×C4×D59—44no—
438C2×C4×D59—42no—
439C2×C4×D59—44no—
440C2×C4×D59—44no—
441C2×C4×D59—44no—
442C2×C4×D59C2414yes—
443C2×C4×D59C2414yes—
444C2×C4×D59C2418yes—
445C2×C4×D59C2418yes—
446C2×C4×D59C2414yes—
447C2×C4×D59C2414yes—
448C2×C4×D59C2414yes—
449C2×C4×D59C2418yes—
450C2×C4×D59C2418yes—
451C2×C4×D59C2418yes—
452C2×C4×D59C2418yes—
453C2×C4×D59C2418yes—
454C2×Dic118—44no—
455C2×Dic118C2418yes—
456C4⋊C4×C59C2414yes—
457C4⋊C4×C59C2414yes—
458C4⋊C4×C59C2414yes—
459C4⋊C4×C59C2418yes—
460C4⋊C4×C59C2414yes—
461C22⋊C4×C59C2418yes—
462C22⋊C4×C59C2418yes—
463C22⋊C4×C59C2418yes—
464C22⋊C4×C59C2418yes—
465C22⋊C4×C59C2418yes—
466C22⋊C4×C59C2418yes—
467C42×C59C2414yes—
468C42×C59C2418yes—
469C42×C59C2414yes—
470C42×C59C2414yes—
471C22⋊Dic59C2418yes—
472C22⋊Dic59C2418yes—
473C22⋊Dic59C2418yes—
474C22⋊Dic59C2418yes—
475C22⋊Dic59C2418yes—
476C22⋊Dic59C2418yes—
477(C2×D59)⋊C4C2414yes—
478(C2×D59)⋊C4C2414yes—
479(C2×D59)⋊C4C2414yes—
480(C2×D59)⋊C4C2418yes—
481(C2×D59)⋊C4C2418yes—
482(C2×D59)⋊C4C2418yes—
483(C2×D59)⋊C4C2418yes—
484(C2×D59)⋊C4C2418yes—
485(C2×D59)⋊C4C2414yes—
486(C2×D59)⋊C4C2418yes—
487(C2×D59)⋊C4C2414yes—
488(C2×D59)⋊C4C2414yes—
489(C2×D59)⋊C4C2418yes—
490(C2×D59)⋊C4C2414yes—
491(C2×D59)⋊C4C2414yes—
492(C2×D59)⋊C4C2414yes—
493(C2×D59)⋊C4C2414yes—
494C4⋊Dic59C2414yes—
495C4⋊Dic59C2414yes—
496C4⋊Dic59C2418yes—
497C4⋊Dic59C2418yes—
498C4⋊Dic59C2414yes—
499C4⋊Dic59C2414yes—
500C4⋊Dic59C2414yes—
501C4⋊Dic59C2414yes—
502Dic59⋊C4C2418yes—
503Dic59⋊C4C2414yes—
504Dic59⋊C4C2418yes—
505Dic59⋊C4C2418yes—
506Dic59⋊C4C2418yes—
507Dic59⋊C4C2418yes—
508Dic59⋊C4C2414yes—
509Dic59⋊C4C2414yes—
510Dic59⋊C4C2414yes—
511Dic59⋊C4C2418yes—
512Dic59⋊C4C2418yes—
513Dic59⋊C4C2418yes—
514C4×Dic59C2414yes—
515C4×Dic59C2414yes—
516C4×Dic59C2414yes—
517C4×Dic59C2418yes—
518C4×Dic59C2418yes—
519C23×C59—24no—
520C23×C59—24no—
521C23×C59—24no—
522C23×C59—24no—
523C23×C59—24no—
524C23×C59—24no—
525C23×C59C2514yes—
526C23×C59C2514yes—
527C23×C59C2511yescharacteristic
528C22×D59—22no—
529C22×D59—24no—
530C22×D59—22no—
531C22×D59—24no—
532C22×D59—22no—
533C22×D59—22no—
534C22×D59—22no—
535C22×D59—22no—
536C22×D59—22no—
537C22×D59—22no—
538C22×D59—216no—
539C22×D59—216no—
540C22×D59—216no—
541C22×D59—48no—
542C22×D59—432no—
543C22×D59—48no—
544C22×D59—48no—
545C22×D59—816no—
546C22×D59C2×#4118yes—
547C22×D59H(5,𝔽2)14yes—
548C22×D59C2512yes—
549C22×D59C2512yes—
550C22×D59C2514yes—
551C22×D59C2512yes—
552Q8×C59—28no—
553Q8×C59—44no—
554D4×C59—28no—
555D4×C59—28no—
556D4×C59—48no—
557D4×C59—48no—
558C2×C4×C59—24no—
559C2×C4×C59—22no—
560C2×C4×C59—22no—
561C2×C4×C59—24no—
562C2×C4×C59—22no—
563C2×C4×C59—22no—
564C2×C4×C59—22no—
565C2×C4×C59—22no—
566C2×C4×C59—48no—
567C2×C4×C59—48no—
568C2×C4×C59C2×#4114yes—
569C2×C4×C59C2514yes—
570C2×C4×C59C2512yes—
571C2×C4×C59C2512yes—
572C2×C4×C59C2514yes—
573C2×C4×C59C2512yes—
574C2×C4×C59C2512yes—
575C2×C4×C59C2512yes—
576C2×C4×C59C2512yes—
577C2×C4×C59C2512yes—
578C22⋊D59—216no—
579C22⋊D59—216no—
580C22⋊D59—216no—
581C22⋊D59—48no—
582C22⋊D59—48no—
583C22⋊D59—48no—
584C2×Dic59—22no—
585C2×Dic59—22no—
586C2×Dic59—22no—
587C2×Dic59—24no—
588C2×Dic59—24no—
589C2×Dic59—22no—
590C2×Dic59—22no—
591C2×Dic59—24no—
592C2×Dic59—48no—
593C2×Dic59—48no—
594C2×Dic59C2512yes—
595C2×Dic59C2512yes—
596C2×Dic59C2512yes—
597C2×Dic59C2512yes—
598C2×Dic59C2514yes—
599C2×Dic59C2514yes—
600C2×Dic59C2512yes—
601C2×Dic59C2514yes—
602D236—216no—
603D236—28no—
604D236—28no—
605D236—44no—
606D236C2×#41116yescomplemented
607C4×D59—216no—
608C4×D59—28no—
609C4×D59—216no—
610C4×D59—28no—
611C4×D59—28no—
612C4×D59—28no—
613C4×D59—48no—
614C4×D59—48no—
615C4×D59—44no—
616C4×D59—48no—
617C4×D59—48no—
618C4×D59—48no—
619Dic118—48no—
620C2×#3513—591nomaximal, Sylow
621C22×C59—24no—
622C22×C59—24no—
623C22×C59—24no—
624C22×C59—24no—
625C22×C59—24no—
626C22×C59—24no—
627C22×C59—48no—
628C22×C59—48no—
629C22×C59C22×#4112yes—
630C22×C59C2×H(5,𝔽2)12yes—
631C22×C59#58512yes—
632C22×C59C2611yescharacteristic
633C2×D59—22no—
634C2×D59—24no—
635C2×D59—22no—
636C2×D59—24no—
637C2×D59—28no—
638C2×D59—216no—
639C2×D59—22no—
640C2×D59—22no—
641C2×D59—22no—
642C2×D59—22no—
643C2×D59—22no—
644C2×D59—22no—
645C2×D59—432no—
646C2×D59—44no—
647C2×D59—44no—
648C2×D59—816no—
649C2×D59C22×#4118yes—
650C2×D59C2×H(5,𝔽2)14yes—
651C4×C59—24no—
652C4×C59—22no—
653C4×C59—22no—
654C4×C59—24no—
655C4×C59—22no—
656C4×C59—22no—
657C4×C59—22no—
658C4×C59—22no—
659C4×C59C22×#4114yes—
660Dic59—22no—
661Dic59—22no—
662Dic59—22no—
663Dic59—24no—
664Dic59—24no—
665Dic59—22no—
666Dic59—22no—
667Dic59—24no—
668#3513—5932no—
669C2×#559D5911yescharacteristic, complemented
670C2×#554—591no—
671C2×#553—592no—
672C2×#553—591no—
673C2×#552—591no—
674C2×#551—592no—
675C2×#551—592no—
676C2×#547—591no—
677C2×#546—591no—
678C2×#546—591no—
679C2×#546—592no—
680C2×D42—591no—
681C2×#542—591no—
682C2×#540—591no—
683C2×#539—592no—
684C2×#538—592no—
685C2×#529—591no—
686C2×#529—591no—
687C2×#525—592no—
688C22×#123—592no—
689C2×#520—591no—
690C2×#518—591no—
691C22×C4×D4—591no—
692C2×C59—44no—
693C2×C59—44no—
694C2×C59#351314yescomplemented
695C2×C59C23×#4111yescharacteristic
696C2×C59C22×H(5,𝔽2)11yescharacteristic
697C2×C59C2×#58511yescharacteristic
698D59—24no—
699D59—28no—
700D59—42no—
701D59—42no—
702C22×#41—591no—
703C22×#41—592no—
704C23×D4—591no—
705C23×D4—591no—
706C23×D4—592no—
707C24×C4—592no—
708#559C2×D59116yescomplemented
709#554—5916no—
710#553—5932no—
711#553—5916no—
712#552—5916no—
713#551—5932no—
714#551—5932no—
715#547—5916no—
716#546—5916no—
717#546—5916no—
718#546—5932no—
719D42—5916no—
720#542—5916no—
721#540—5916no—
722#539—5932no—
723#538—5932no—
724C2×C4⋊Q8—591no—
725C2×#127C2×D5911yescharacteristic
726#529—5916no—
727#529—5916no—
728C2×#126—591no—
729C2×#126—591no—
730C2×#126—592no—
731C2×#126—592no—
732C2×#126—592no—
733C2×#126—592no—
734C2×#125—592no—
735C2×#125—591no—
736C2×#125—591no—
737C2×#125—591no—
738C2×#124—591no—
739C2×#124—592no—
740C2×#124C2×D5911yescharacteristic, complemented
741C2×#124C2×D5912yescomplemented
742C2×#124C2×D5911yescharacteristic, complemented
743#525—5932no—
744C2×#123—592no—
745C2×#123—592no—
746C2×#123—592no—
747C2×#123—5932no—
748C2×#123—591no—
749C2×#123—592no—
750C2×#123—591no—
751C2×#123—592no—
752C2×#123—592no—
753C2×#123—592no—
754C2×#123—592no—
755C2×#123—592no—
756C2×#123—592no—
757C2×#123C2×D5912yescomplemented
758C2×#123C2×D5912yescomplemented
759C2×C22⋊Q8—591no—
760C2×C22⋊Q8—591no—
761C2×C22⋊Q8—592no—
762C2×C22⋊Q8—591no—
763C2×C22⋊Q8—592no—
764C2×C22⋊Q8—592no—
765C2×C22⋊Q8—592no—
766C2×C22⋊Q8—592no—
767C2×#121—591no—
768C2×#121—592no—
769C2×#121—591no—
770C2×#121—591no—
771C2×#121—591no—
772C2×#121—592no—
773C2×#121—592no—
774C2×#121—591no—
775C2×#121—592no—
776C2×#121—592no—
777C2×#121—592no—
778C2×#120—592no—
779C2×#120—592no—
780C2×#120—592no—
781C2×#120—592no—
782#520—5916no—
783#518—5916no—
784C2×C4×Q8—591no—
785C2×C4×Q8C2×D5911yescharacteristic, complemented
786C2×C4×Q8C2×D5911yescharacteristic, complemented
787C2×C4×D4—591no—
788C2×C4×D4—591no—
789C2×C4×D4—592no—
790C2×C4×D4—592no—
791C2×C4×D4—592no—
792C2×C4×D4—5916no—
793C2×C4×D4—591no—
794C2×C4×D4—592no—
795C2×C4×D4—592no—
796C2×C4×D4—592no—
797C2×C4×D4—592no—
798C2×C4×D4—591no—
799C2×C4×D4—591no—
800C2×C4×D4—592no—
801C2×C4×D4—591no—
802C2×C4×D4—591no—
803C2×C4×D4—591no—
804C2×C4×D4—591no—
805C2×C4×D4C2×D5911yescharacteristic, complemented
806C2×C4×D4C2×D5911yescharacteristic, complemented
807C2×C4×D4C2×D5912yescomplemented
808C2×#117—591no—
809C2×#117—592no—
810C2×#117—591no—
811C2×#117—591no—
812C2×#117—592no—
813C2×#117—592no—
814C22×C4⋊C4—591no—
815C22×C4⋊C4—592no—
816C22×C4⋊C4—591no—
817C22×C4⋊C4—592no—
818C22×C22⋊C4—592no—
819C22×C22⋊C4—592no—
820C22×C22⋊C4—592no—
821C22×C22⋊C4—592no—
822C22×C22⋊C4—592no—
823C22×C42—591no—
824C59C2×#351311yescharacteristic, complemented, Sylow
825C25—592no—
826C25—592no—
827C2×#41—598no—
828C2×#41—5916no—
829C2×#41—1188no—
830C2×#41—2368no—
831C22×Q8—592no—
832C22×Q8C22×D5911yescharacteristic
833C22×Q8C22×D5911yescharacteristic
834C22×D4—592no—
835C22×D4—592no—
836C22×D4—592no—
837C22×D4—592no—
838C22×D4—592no—
839C22×D4—592no—
840C22×D4—598no—
841C22×D4—598no—
842C22×D4—5916no—
843C22×D4—591no—
844C22×D4—592no—
845C22×D4—591no—
846C22×D4—591no—
847C22×D4—591no—
848C22×D4—1188no—
849C22×D4—1188no—
850C22×D4—2368no—
851C22×D4C22×D5911yescharacteristic
852C22×D4C22×D5911yescharacteristic
853C22×D4C22×D5912yes—
854C22×D4C22×D5912yes—
855C23×C4—592no—
856C23×C4—592no—
857C23×C4—592no—
858C23×C4—592no—
859C23×C4—591no—
860C23×C4—591no—
861C23×C4—591no—
862C23×C4—591no—
863C23×C4—592no—
864C23×C4—591no—
865C23×C4—592no—
866C23×C4—592no—
867C23×C4—592no—
868C23×C4—592no—
869C23×C4—5916no—
870C23×C4—2368no—
871C23×C4C22×D5912yes—
872C23×C4C22×D5912yes—
873C4⋊Q8—598no—
874#127C22×D5918yes—
875#126—598no—
876#126—598no—
877#126—5916no—
878#126—5916no—
879#126—5916no—
880#126—5916no—
881#125—598no—
882#125—5916no—
883#125—598no—
884#125—598no—
885#124—598no—
886#124—5916no—
887#124C22×D5918yescomplemented
888#124C22×D59116yescomplemented
889#124C22×D5918yescomplemented
890#123—5916no—
891#123—5916no—
892#123—5916no—
893#123—598no—
894#123—5916no—
895#123—598no—
896#123—5916no—
897#123—5916no—
898#123—5916no—
899#123—5916no—
900#123—5916no—
901#123—5916no—
902#123C22×D59116yescomplemented
903#123C22×D59116yescomplemented
904C22⋊Q8—598no—
905C22⋊Q8—598no—
906C22⋊Q8—5916no—
907C22⋊Q8—598no—
908C22⋊Q8—5916no—
909C22⋊Q8—5916no—
910C22⋊Q8—5916no—
911C22⋊Q8—5916no—
912#121—5916no—
913#121—598no—
914#121—5916no—
915#121—598no—
916#121—598no—
917#121—5916no—
918#121—598no—
919#121—598no—
920#121—5916no—
921#121—5916no—
922#121—5916no—
923#120—5916no—
924#120—5916no—
925#120—5916no—
926#120—5916no—
927C4×Q8—598no—
928C4×Q8C22×D5918yescomplemented
929C4×Q8C22×D5918yescomplemented
930C4×D4—598no—
931C4×D4—598no—
932C4×D4—5916no—
933C4×D4—5916no—
934C4×D4—5916no—
935C4×D4—598no—
936C4×D4—5916no—
937C4×D4—5916no—
938C4×D4—5916no—
939C4×D4—5916no—
940C4×D4—598no—
941C4×D4—598no—
942C4×D4—5916no—
943C4×D4—598no—
944C4×D4—598no—
945C4×D4—598no—
946C4×D4—598no—
947C4×D4C22×D5918yescomplemented
948C4×D4C22×D5918yescomplemented
949C4×D4C22×D59116yescomplemented
950#117—598no—
951#117—5916no—
952#117—598no—
953#117—598no—
954#117—5916no—
955#117—5916no—
956C2×C4⋊C4—592no—
957C2×C4⋊C4—591no—
958C2×C4⋊C4—592no—
959C2×C4⋊C4—591no—
960C2×C4⋊C4—592no—
961C2×C4⋊C4—591no—
962C2×C4⋊C4—592no—
963C2×C4⋊C4—592no—
964C2×C4⋊C4—592no—
965C2×C4⋊C4—591no—
966C2×C4⋊C4—591no—
967C2×C4⋊C4—591no—
968C2×C4⋊C4—591no—
969C2×C4⋊C4—592no—
970C2×C4⋊C4—592no—
971C2×C4⋊C4—592no—
972C2×C4⋊C4—591no—
973C2×C4⋊C4—592no—
974C2×C4⋊C4—591no—
975C2×C4⋊C4—591no—
976C2×C4⋊C4—598no—
977C2×C4⋊C4—5916no—
978C2×C4⋊C4—598no—
979C2×C4⋊C4—5916no—
980C2×C4⋊C4C22×D5911yescharacteristic
981C2×C4⋊C4C22×D5911yescharacteristic
982C2×C4⋊C4C22×D5912yes—
983C2×C4⋊C4C22×D5911yescharacteristic
984C2×C4⋊C4C22×D5911yescharacteristic
985C2×C22⋊C4—592no—
986C2×C22⋊C4—592no—
987C2×C22⋊C4—592no—
988C2×C22⋊C4—592no—
989C2×C22⋊C4—592no—
990C2×C22⋊C4—592no—
991C2×C22⋊C4—592no—
992C2×C22⋊C4—592no—
993C2×C22⋊C4—591no—
994C2×C22⋊C4—591no—
995C2×C22⋊C4—591no—
996C2×C22⋊C4—591no—
997C2×C22⋊C4—592no—
998C2×C22⋊C4—592no—
999C2×C22⋊C4—592no—
1000C2×C22⋊C4—5916no—
1001C2×C22⋊C4—592no—
1002C2×C22⋊C4—591no—
1003C2×C22⋊C4—592no—
1004C2×C22⋊C4—591no—
1005C2×C22⋊C4—591no—
1006C2×C22⋊C4—591no—
1007C2×C22⋊C4—591no—
1008C2×C22⋊C4—591no—
1009C2×C22⋊C4—5916no—
1010C2×C22⋊C4—5916no—
1011C2×C22⋊C4—5916no—
1012C2×C22⋊C4—5916no—
1013C2×C22⋊C4C22×D5912yes—
1014C2×C22⋊C4C22×D5912yes—
1015C2×C22⋊C4C22×D5912yes—
1016C2×C22⋊C4C22×D5912yes—
1017C2×C22⋊C4C22×D5912yes—
1018C2×C22⋊C4C22×D5912yes—
1019C2×C42—591no—
1020C2×C42—592no—
1021C2×C42—592no—
1022C2×C42—591no—
1023C2×C42—591no—
1024C2×C42—598no—
1025C2×C42C22×D5912yes—
1026C2×C42C22×D5911yescharacteristic
1027C2×C42C22×D5911yescharacteristic
1028C2×C42C22×D5911yescharacteristic
1029C24—592no—
1030C24—591no—
1031C24—591no—
1032C24—591no—
1033C24—598no—
1034C24—598no—
1035C24—1188no—
1036C24—1188no—
1037C24—1188no—
1038C24—2364no—
1039C24—2364no—
1040C24—2364no—
1041C24C23×D5912yes—
1042C24C23×D5912yes—
1043#41—11832no—
1044#41—23632no—
1045C2×Q8—24no—
1046C2×Q8—42no—
1047C2×Q8—598no—
1048C2×Q8—2364no—
1049C2×Q8C23×D5914yes—
1050C2×Q8C23×D5914yes—
1051C2×D4—24no—
1052C2×D4—24no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—598no—
1056C2×D4—598no—
1057C2×D4—598no—
1058C2×D4—598no—
1059C2×D4—598no—
1060C2×D4—598no—
1061C2×D4—598no—
1062C2×D4—594no—
1063C2×D4—598no—
1064C2×D4—594no—
1065C2×D4—594no—
1066C2×D4—594no—
1067C2×D4—1184no—
1068C2×D4—1188no—
1069C2×D4—1184no—
1070C2×D4—11832no—
1071C2×D4—11832no—
1072C2×D4—1188no—
1073C2×D4—1188no—
1074C2×D4—1188no—
1075C2×D4—2362no—
1076C2×D4—2364no—
1077C2×D4—2364no—
1078C2×D4—2364no—
1079C2×D4—23632no—
1080C2×D4C23×D5914yes—
1081C2×D4C23×D5914yes—
1082C2×D4C23×D5918yes—
1083C2×D4C23×D5918yes—
1084C22×C4—44no—
1085C22×C4—44no—
1086C22×C4—591no—
1087C22×C4—591no—
1088C22×C4—591no—
1089C22×C4—591no—
1090C22×C4—592no—
1091C22×C4—592no—
1092C22×C4—591no—
1093C22×C4—592no—
1094C22×C4—598no—
1095C22×C4—598no—
1096C22×C4—594no—
1097C22×C4—594no—
1098C22×C4—598no—
1099C22×C4—598no—
1100C22×C4—594no—
1101C22×C4—594no—
1102C22×C4—594no—
1103C22×C4—598no—
1104C22×C4—598no—
1105C22×C4—598no—
1106C22×C4—598no—
1107C22×C4—598no—
1108C22×C4—1184no—
1109C22×C4—1188no—
1110C22×C4—1188no—
1111C22×C4—1184no—
1112C22×C4—1184no—
1113C22×C4—1184no—
1114C22×C4—2364no—
1115C22×C4—2364no—
1116C22×C4—2364no—
1117C22×C4—2364no—
1118C22×C4—2364no—
1119C22×C4—2362no—
1120C22×C4—23632no—
1121C22×C4—2364no—
1122C22×C4—2364no—
1123C22×C4C23×D5912yes—
1124C22×C4C23×D5911yescharacteristic
1125C22×C4C23×D5912yes—
1126C22×C4C23×D5911yescharacteristic
1127C22×C4C23×D5911yescharacteristic
1128C22×C4C23×D5911yescharacteristic
1129C22×C4C23×D5911yescharacteristic
1130C22×C4C23×D5911yescharacteristic
1131C22×C4C23×D5918yes—
1132C22×C4C23×D5918yes—
1133C22×C4C23×D5911yescharacteristic
1134C4⋊C4—598no—
1135C4⋊C4—594no—
1136C4⋊C4—598no—
1137C4⋊C4—594no—
1138C4⋊C4—598no—
1139C4⋊C4—594no—
1140C4⋊C4—598no—
1141C4⋊C4—598no—
1142C4⋊C4—598no—
1143C4⋊C4—594no—
1144C4⋊C4—594no—
1145C4⋊C4—594no—
1146C4⋊C4—594no—
1147C4⋊C4—598no—
1148C4⋊C4—598no—
1149C4⋊C4—598no—
1150C4⋊C4—594no—
1151C4⋊C4—598no—
1152C4⋊C4—594no—
1153C4⋊C4—594no—
1154C4⋊C4C23×D5914yes—
1155C4⋊C4C23×D5914yes—
1156C4⋊C4C23×D5918yes—
1157C4⋊C4C23×D5914yes—
1158C4⋊C4C23×D5914yes—
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—594no—
1168C22⋊C4—594no—
1169C22⋊C4—594no—
1170C22⋊C4—594no—
1171C22⋊C4—598no—
1172C22⋊C4—598no—
1173C22⋊C4—598no—
1174C22⋊C4—598no—
1175C22⋊C4—594no—
1176C22⋊C4—598no—
1177C22⋊C4—594no—
1178C22⋊C4—594no—
1179C22⋊C4—594no—
1180C22⋊C4—594no—
1181C22⋊C4—594no—
1182C22⋊C4C23×D5918yes—
1183C22⋊C4C23×D5918yes—
1184C22⋊C4C23×D5918yes—
1185C22⋊C4C23×D5918yes—
1186C22⋊C4C23×D5918yes—
1187C22⋊C4C23×D5918yes—
1188C42—594no—
1189C42—594no—
1190C42—594no—
1191C42—598no—
1192C42—598no—
1193C42C23×D5914yes—
1194C42C23×D5918yes—
1195C42C23×D5914yes—
1196C42C23×D5914yes—
1197C23—24no—
1198C23—24no—
1199C23—24no—
1200C23—24no—
1201C23—24no—
1202C23—24no—
1203C23—598no—
1204C23—594no—
1205C23—594no—
1206C23—592no—
1207C23—592no—
1208C23—592no—
1209C23—11816no—
1210C23—11816no—
1211C23—11816no—
1212C23—1182no—
1213C23—1184no—
1214C23—1184no—
1215C23—1182no—
1216C23—1182no—
1217C23—1182no—
1218C23—1182no—
1219C23—1182no—
1220C23—1182no—
1221C23—1182no—
1222C23—47216no—
1223C23—2368no—
1224C23—2368no—
1225C23—2368no—
1226C23—23632no—
1227C23C24×D5914yes—
1228C23C24×D5914yes—
1229C23C24×D5911yescharacteristic
1230Q8—28no—
1231Q8—44no—
1232Q8—2368no—
1233D4—28no—
1234D4—28no—
1235D4—48no—
1236D4—48no—
1237D4—5916no—
1238D4—1188no—
1239D4—11816no—
1240D4—1188no—
1241D4—11816no—
1242D4—11816no—
1243D4—11816no—
1244D4—2364no—
1245D4—2368no—
1246D4—2368no—
1247D4—2368no—
1248C2×C4—24no—
1249C2×C4—22no—
1250C2×C4—24no—
1251C2×C4—22no—
1252C2×C4—22no—
1253C2×C4—22no—
1254C2×C4—22no—
1255C2×C4—22no—
1256C2×C4—48no—
1257C2×C4—48no—
1258C2×C4—592no—
1259C2×C4—592no—
1260C2×C4—592no—
1261C2×C4—592no—
1262C2×C4—594no—
1263C2×C4—594no—
1264C2×C4—592no—
1265C2×C4—594no—
1266C2×C4—1188no—
1267C2×C4—11816no—
1268C2×C4—11816no—
1269C2×C4—1182no—
1270C2×C4—1182no—
1271C2×C4—1182no—
1272C2×C4—1182no—
1273C2×C4—1184no—
1274C2×C4—1184no—
1275C2×C4—1182no—
1276C2×C4—1184no—
1277C2×C4—1188no—
1278C2×C4—1188no—
1279C2×C4—1188no—
1280C2×C4—2368no—
1281C2×C4—2364no—
1282C2×C4—2368no—
1283C2×C4—2368no—
1284C2×C4—2368no—
1285C2×C4—2368no—
1286C2×C4—2368no—
1287C2×C4—2368no—
1288C2×C4#41×D5914yes—
1289C2×C4C24×D5914yes—
1290C2×C4C24×D5912yes—
1291C2×C4C24×D5912yes—
1292C2×C4C24×D5914yes—
1293C2×C4C24×D5912yes—
1294C2×C4C24×D5912yes—
1295C2×C4C24×D5912yes—
1296C2×C4C24×D5912yes—
1297C2×C4C24×D5912yes—
1298C22—24no—
1299C22—24no—
1300C22—24no—
1301C22—24no—
1302C22—24no—
1303C22—24no—
1304C22—48no—
1305C22—48no—
1306C22—598no—
1307C22—594no—
1308C22—11816no—
1309C22—1188no—
1310C22—1182no—
1311C22—1184no—
1312C22—1184no—
1313C22—1182no—
1314C22—1182no—
1315C22—1182no—
1316C22—1182no—
1317C22—1182no—
1318C22—1182no—
1319C22—1182no—
1320C22—47216no—
1321C22—23632no—
1322C22—2364no—
1323C22—2364no—
1324C22C2×#41×D5912yes—
1325C22H(5,𝔽2)×D5912yes—
1326C22#1683823812yes—
1327C22C25×D5911yescharacteristic
1328C4—24no—
1329C4—22no—
1330C4—24no—
1331C4—22no—
1332C4—22no—
1333C4—22no—
1334C4—22no—
1335C4—22no—
1336C4—1182no—
1337C4—1182no—
1338C4—1182no—
1339C4—1182no—
1340C4—1184no—
1341C4—1184no—
1342C4—1182no—
1343C4—1184no—
1344C4C2×#41×D5914yes—
1345C2—44no—
1346C2—44no—
1347C2—1188no—
1348C2—1184no—
1349C2—2362no—
1350C2—2362no—
1351C2#2143803514yesdirect product factor
1352C2C22×#41×D5911yescharacteristic
1353C2C2×H(5,𝔽2)×D5911yescharacteristic
1354C2C2×#1683823811yescharacteristic
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#559C2
socleC23×C59C25
hypercenterC2×#559D59
hypocenterC59C2×#3513
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#559

Complements

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

NH ≅ G/Ntype
1. #21438035C2direct (N × H)
2. C2×#16838112C2semidirect
3. C2×#16838102C2semidirect
4. C2×#16838097C2semidirect
5. C2×#16838093C2semidirect
6. C2×#16838082C2semidirect
7. C2×#16838081C2semidirect
8. C2×#16838057C2semidirect
9. C2×#16838045C2semidirect
10. C2×#16838045C2semidirect
11. C2×#16838044C2semidirect
12. C2×#16838037C2semidirect
13. C2×#16838021C2semidirect
14. C2×#16838006C2semidirect
15. C2×#16837995C2semidirect
16. C2×#16837986C2semidirect
17. C2×#16837939C2semidirect
18. C2×#16837931C2semidirect
19. C2×#16837911C2semidirect
20. C2×#123×D59C2semidirect
21. C2×#16837884C2semidirect
22. C2×#16837874C2semidirect
23. C2×C4×D4×D59C2semidirect
24. C2×C59×#559C2semidirect
26. C22×#11745685C22semidirect
30. C23×C4×D59C22semidirect
31. #16838112C22semidirect
32. #16838102C22semidirect
33. #16838097C22semidirect
34. #16838093C22semidirect
35. #16838082C22semidirect
36. #16838081C22semidirect
37. #16838057C22semidirect
38. #16838045C22semidirect
39. #16838045C22semidirect
40. #16838044C22semidirect
41. #16838037C22semidirect
42. #16838021C22semidirect
43. #16838006C22semidirect
44. #16837995C22semidirect
45. #16837986C22semidirect
46. C2×#14273727C22semidirect
47. #16837939C22semidirect
48. #16837931C22semidirect
49. C2×#14273722C22semidirect
50. C2×#14273722C22semidirect
51. C2×#14273721C22semidirect
52. C2×#14273720C22semidirect
53. C2×#14273720C22semidirect
54. C2×#14273720C22semidirect
55. C2×#14273719C22semidirect
56. C2×#14273719C22semidirect
57. C2×#14273718C22semidirect
58. C2×#14273717C22semidirect
59. C2×#14273716C22semidirect
60. C2×#14273713C22semidirect
61. #16837911C22semidirect
64. C2×#14273712C22semidirect
65. C2×#14273711C22semidirect
66. C2×#14273710C22semidirect
67. C2×#14273709C22semidirect
68. C2×#14273709C22semidirect
69. C2×#14273709C22semidirect
70. C2×#14273709C22semidirect
71. C2×#14273709C22semidirect
72. C2×#14273708C22semidirect
73. C2×#14273708C22semidirect
74. #123×D59C22semidirect
75. C2×#14273706C22semidirect
76. C2×#14273705C22semidirect
77. C2×#14273705C22semidirect
78. C2×#14273704C22semidirect
79. C2×#14273703C22semidirect
80. C2×#14273703C22semidirect
81. C2×#14273703C22semidirect
82. C2×#14273703C22semidirect
84. C2×#14273700C22semidirect
85. C2×#14273700C22semidirect
86. C2×#14273700C22semidirect
87. C2×#14273699C22semidirect
88. C2×#14273699C22semidirect
92. C2×#14273698C22semidirect
93. C2×#14273698C22semidirect
94. C2×#14273697C22semidirect
95. C2×#14273697C22semidirect
98. #16837884C22semidirect
99. #16837874C22semidirect
100. C2×Q8×Dic59C22semidirect
105. C2×C4×D236C22semidirect
106. C2×C4×D236C22semidirect
107. C2×C4×D236C22semidirect
108. C2×D4×Dic59C22semidirect
109. C2×D4×Dic59C22semidirect
111. C2×#14273689C22semidirect
112. C2×C4×C22⋊D59C22semidirect
113. C2×C4×C22⋊D59C22semidirect
114. C2×C4×C22⋊D59C22semidirect
115. C2×(C22⋊D59)⋊C4C22semidirect
116. C2×(C22⋊D59)⋊C4C22semidirect
117. C2×(C22⋊D59)⋊C4C22semidirect
118. C4×D4×D59C22semidirect
119. C2×#14273685C22semidirect
120. C2×#14273684C22semidirect
121. C2×#14273684C22semidirect
122. C2×#14273684C22semidirect
123. C2×#14273684C22semidirect
124. C2×#14273683C22semidirect
125. C2×C4⋊C4×D59C22semidirect
126. C2×C4⋊C4×D59C22semidirect
127. C2×C4⋊C4×D59C22semidirect
128. C2×C4⋊C4×D59C22semidirect
129. C22×(C2×D59)⋊C4C22semidirect
130. C2×C22⋊C4×D59C22semidirect
131. C2×C22⋊C4×D59C22semidirect
132. C2×C22⋊C4×D59C22semidirect
133. C2×C22⋊C4×D59C22semidirect
134. C2×C42×D59C22semidirect
135. C59×#559C22semidirect
137. C2×#124×C59C22semidirect
138. C2×#124×C59C22semidirect
139. C2×#124×C59C22semidirect
140. C2×#123×C59C22semidirect
141. C2×#123×C59C22semidirect
142. C2×C4×Q8×C59C22semidirect
143. C2×C4×Q8×C59C22semidirect
144. C2×C4×D4×C59C22semidirect
145. C2×C4×D4×C59C22semidirect
146. C2×C4×D4×C59C22semidirect
152. C2×#11745685C23semidirect
186. C22×C4×D59C23semidirect
187. #14273727C23semidirect
188. #14273722C23semidirect
189. #14273722C23semidirect
190. #14273721C23semidirect
191. #14273720C23semidirect
192. #14273720C23semidirect
193. #14273720C23semidirect
194. #14273719C23semidirect
195. #14273719C23semidirect
196. #14273718C23semidirect
197. #14273717C23semidirect
198. #14273716C23semidirect
199. #14273713C23semidirect
202. #14273712C23semidirect
203. #14273711C23semidirect
204. #14273710C23semidirect
205. #14273709C23semidirect
206. #14273709C23semidirect
207. #14273709C23semidirect
208. #14273709C23semidirect
209. #14273709C23semidirect
210. #14273708C23semidirect
211. #14273708C23semidirect
212. #14273706C23semidirect
213. #14273705C23semidirect
214. #14273705C23semidirect
215. #14273704C23semidirect
216. #14273703C23semidirect
217. #14273703C23semidirect
218. #14273703C23semidirect
219. #14273703C23semidirect
221. #14273700C23semidirect
222. #14273700C23semidirect
223. #14273700C23semidirect
224. #14273699C23semidirect
225. #14273699C23semidirect
229. #14273698C23semidirect
230. #14273698C23semidirect
231. #14273697C23semidirect
232. #14273697C23semidirect
235. Q8×Dic59C23semidirect
240. C4×D236C23semidirect
241. C4×D236C23semidirect
242. C4×D236C23semidirect
243. D4×Dic59C23semidirect
244. D4×Dic59C23semidirect
246. #14273689C23semidirect
247. C4×C22⋊D59C23semidirect
248. C4×C22⋊D59C23semidirect
249. C4×C22⋊D59C23semidirect
250. (C22⋊D59)⋊C4C23semidirect
251. (C22⋊D59)⋊C4C23semidirect
252. (C22⋊D59)⋊C4C23semidirect
253. #14273685C23semidirect
254. #14273684C23semidirect
255. #14273684C23semidirect
256. #14273684C23semidirect
257. #14273684C23semidirect
258. #14273683C23semidirect
279. C4⋊C4×D59C23semidirect
280. C4⋊C4×D59C23semidirect
281. C4⋊C4×D59C23semidirect
282. C4⋊C4×D59C23semidirect
306. C2×(C2×D59)⋊C4C23semidirect
307. C22⋊C4×D59C23semidirect
308. C22⋊C4×D59C23semidirect
309. C22⋊C4×D59C23semidirect
310. C22⋊C4×D59C23semidirect
316. C42×D59C23semidirect
326. #124×C59C23semidirect
327. #124×C59C23semidirect
328. #124×C59C23semidirect
329. #123×C59C23semidirect
330. #123×C59C23semidirect
331. C4×Q8×C59C23semidirect
332. C4×Q8×C59C23semidirect
333. C4×D4×C59C23semidirect
334. C4×D4×C59C23semidirect
335. C4×D4×C59C23semidirect
423. C2×D236#41semidirect
606. D236C2×#41semidirect
669. C2×#559D59semidirect
694. C2×C59#3513semidirect
708. #559C2×D59semidirect
740. C2×#124C2×D59semidirect
741. C2×#124C2×D59semidirect
742. C2×#124C2×D59semidirect
757. C2×#123C2×D59semidirect
758. C2×#123C2×D59semidirect
785. C2×C4×Q8C2×D59semidirect
786. C2×C4×Q8C2×D59semidirect
805. C2×C4×D4C2×D59semidirect
806. C2×C4×D4C2×D59semidirect
807. C2×C4×D4C2×D59semidirect
824. C59C2×#3513semidirect
887. #124C22×D59semidirect
888. #124C22×D59semidirect
889. #124C22×D59semidirect
902. #123C22×D59semidirect
903. #123C22×D59semidirect
928. C4×Q8C22×D59semidirect
929. C4×Q8C22×D59semidirect
947. C4×D4C22×D59semidirect
948. C4×D4C22×D59semidirect
949. C4×D4C22×D59semidirect
1351. C2#21438035direct (N × H)

Maximal subgroups

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

subgroupindex
#214380352
C2×#168381122
C2×#168381022
C2×#168380972
C2×#168380932
C2×#168380822
C2×#168380812
C2×#168380572
C2×#168380452
C2×#168380442
C2×#168380372
C2×#168380212
C2×#168380062
C2×#168379952
C2×#168379862
C2×#168379392
C2×#168379312
C2×#168379112
C2×#123×D592
C2×#168378842
C2×#168378742
C2×C4×D4×D592
C2×C59×#5592
C2×#351359