Finite Group Databasebeta

← C2×#13082445 #15661691

Subgroups — C2×#13082445 #15661691

Order 2816.

8082 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082445C2132yesmaximal, direct product factor
2C2×#10623149C212yesmaximal, complemented
3C2×#10623045C211yesmaximal, characteristic, complemented
4C2×#10623096C212yesmaximal, complemented
5C2×#10623060C211yesmaximal, characteristic, complemented
6C2×#10623225C211yesmaximal, characteristic, complemented
7C2×#10623236C212yesmaximal, complemented
8C2×#10623189C212yesmaximal, complemented
9C2×#10623083C211yesmaximal, characteristic, complemented
10C2×#10623129C211yesmaximal, characteristic, complemented
11C2×#10623143C211yesmaximal, characteristic, complemented
12C2×#10623085C211yesmaximal, characteristic, complemented
13C2×#10623238C212yesmaximal, complemented
14C2×#10623188C212yesmaximal, complemented
15C2×#10623136C212yesmaximal, complemented
16C2×#10623222C211yesmaximal, characteristic, complemented
17C2×#10623088C211yesmaximal, characteristic, complemented
18C2×#10623055C211yesmaximal, characteristic, complemented
19C2×#10623137C211yesmaximal, characteristic, complemented
20C22×#66950C211yesmaximal, characteristic, complemented
21C2×D11×#121C211yesmaximal, characteristic, complemented
22C2×#10623076C212yesmaximal, complemented
23C2×C4×D4×D11C211yesmaximal, characteristic, complemented
24C2×C11×#553C211yesmaximal, characteristic, complemented
25C22×#4341C2211yescharacteristic, complemented
26C22×D4×D11C2211yescharacteristic
27C22×D4×D11C2212yes—
28C22×D4×D11C2211yescharacteristic, complemented
29C22×#4339C2211yescharacteristic, complemented
30C23×C4×D11C2211yescharacteristic
31C23×C4×D11C2211yescharacteristic, complemented
32C23×Dic22C2211yescharacteristic, complemented
33C11×#553C22116yescomplemented
34C2×C11×#126C2212yescomplemented
35C2×C11×#125C2211yescharacteristic, complemented
36C2×C11×#123C2212yescomplemented
37C2×C11×#121C2211yescharacteristic, complemented
38C2×C11×#121C2212yescomplemented
39C2×C11×#121C2211yescharacteristic, complemented
40C2×C4×D4×C11C2212yescomplemented
41C2×C4×D4×C11C2211yescharacteristic, complemented
42C2×C4×D4×C11C2211yescharacteristic, complemented
43C2×C11×#117C2211yescharacteristic, complemented
44C22×C11×C4⋊C4C2211yescharacteristic, complemented
45C2×#66992C2212yescomplemented
46C2×#66992C2212yescomplemented
47C2×#66992C2212yescomplemented
48C2×#66991C2211yescharacteristic
49C2×#66991C2212yescomplemented
50C2×#66990C2212yes—
51C2×#66990C2212yescomplemented
52C2×#66989C2211yescharacteristic, complemented
53C2×D4×Dic11C2212yescomplemented
54C2×D4×Dic11C2211yescharacteristic, complemented
55C2×D4×Dic11C2212yescomplemented
56C2×#66983C2212yescomplemented
57C2×#66983C2212yescomplemented
58C2×#66983C2211yescharacteristic, complemented
59C2×C4×C22⋊D11C2211yescharacteristic
60C2×C4×C22⋊D11C2212yescomplemented
61C2×C4×C22⋊D11C2212yescomplemented
62C2×C4×C22⋊D11C2211yescharacteristic, complemented
63C22×(C2×D11)⋊C4C2212yes—
64C22×(C2×D11)⋊C4C2212yescomplemented
65C2×#66979C2212yescomplemented
66C22×C4⋊Dic11C2212yescomplemented
67C2×#66977C2211yescharacteristic, complemented
68#10623238C22132yescomplemented
69#10623236C22132yescomplemented
70#10623225C22116yescomplemented
71#10623222C22116yescomplemented
72#10623189C22132yescomplemented
73#10623188C22132yescomplemented
74#10623149C22132yescomplemented
75#10623143C22116yescomplemented
76#10623137C22116yescomplemented
77#10623136C22132yescomplemented
78D11×#121C22116yescomplemented
79#10623129C22116yescomplemented
80#10623096C22132yescomplemented
81#10623088C22116yescomplemented
82#10623085C22116yescomplemented
83#10623083C22116yescomplemented
84#10623076C22132yescomplemented
85C4×D4×D11C22116yescomplemented
86#10623060C22116yescomplemented
87#10623055C22116yescomplemented
88#10623045C22116yescomplemented
89C2×#66951C2212yescomplemented
90C2×#66951C2212yescomplemented
91C2×#66951C2212yescomplemented
92C2×#66950C2212yescomplemented
93C2×#66950C2211yescharacteristic, complemented
94C2×#66950C2211yescharacteristic, complemented
95C2×#66950C2211yescharacteristic, complemented
96C2×#66950C2211yescharacteristic, complemented
97C2×#66950C2211yescharacteristic, complemented
98C2×#66950C2212yescomplemented
99C2×#66950C22116yescomplemented
100C2×#66949C2212yescomplemented
101C2×#66948C2211yescharacteristic
102C2×#66948C2211yescharacteristic, complemented
103C2×#66947C2212yes—
104C2×#66947C2212yescomplemented
105C2×#66947C2212yescomplemented
106C2×#66946C2211yescharacteristic
107C2×#66946C2211yescharacteristic, complemented
108C2×#66946C2212yescomplemented
109C2×#66945C2212yescomplemented
110C2×#66945C2211yescharacteristic, complemented
111C2×#66945C2212yescomplemented
112C2×C4⋊C4×D11C2211yescharacteristic, complemented
113C2×C4⋊C4×D11C2211yescharacteristic, complemented
114C2×#66943C2212yescomplemented
115C2×#66943C2211yescharacteristic, complemented
116C2×#66940C2211yescharacteristic, complemented
117C2×#66939C2212yescomplemented
118C2×#66939C2212yescomplemented
119C2×#66938C2212yescomplemented
120C2×#66938C2212yescomplemented
121C2×#66937C2212yes—
122C2×#66936C2212yes—
123C2×#66936C2212yescomplemented
124C2×#66936C2212yescomplemented
125C2×#66936C2212yescomplemented
126C2×#66935C2212yes—
127C2×#66935C2212yescomplemented
128C2×(C22⋊D11)⋊C4C2211yescharacteristic
129C2×(C22⋊D11)⋊C4C2212yescomplemented
130C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
131C2×(C22⋊D11)⋊C4C2212yescomplemented
132C2×C22⋊C4×D11C2211yescharacteristic
133C2×C22⋊C4×D11C2212yescomplemented
134C2×C22⋊C4×D11C2212yescomplemented
135C2×C22⋊C4×D11C2211yescharacteristic, complemented
136C2×#66932C2212yescomplemented
137C2×#66932C2212yescomplemented
138C2×#66931C2212yescomplemented
139C2×#66928C2211yescharacteristic, complemented
140C2×C4×D44C2211yescharacteristic
141C2×C4×D44C2212yescomplemented
142C2×C4×D44C2212yescomplemented
143C2×#66925C2212yescomplemented
144C2×C42×D11C2211yescharacteristic, complemented
145C2×#66923C2212yescomplemented
146C2×C4×Dic22C2211yescharacteristic, complemented
147C24×D11C2312yes—
148C24×D11C2311yescharacteristic
149C24×D11C2311yescharacteristic
150C22×D4×C11C2311yescharacteristic
151C22×D4×C11C2312yes—
152C22×D4×C11C2311yescharacteristic
153C22×D4×C11C2312yes—
154C23×C4×C11C2311yescharacteristic
155C23×C4×C11C2311yescharacteristic
156C23×C4×C11C2312yes—
157C23×C4×C11C2312yes—
158C22×C22⋊D11C2311yescharacteristic
159C22×C22⋊D11C2312yes—
160C22×C22⋊D11C2311yescharacteristic
161C22×C22⋊D11C2312yes—
162C22×C22⋊D11C2312yes—
163C22×C22⋊D11C2312yes—
164C22×C22⋊D11C2312yes—
165C23×Dic11C2312yes—
166C23×Dic11C2311yescharacteristic
167C23×Dic11C2311yescharacteristic
168C23×Dic11C2312yes—
169C2×#4341—44no—
170C2×#4341C2318yescomplemented
171C2×D4×D11—28no—
172C2×D4×D11—216no—
173C2×D4×D11—44no—
174C2×D4×D11C2318yes—
175C2×D4×D11C23116yes—
176C2×D4×D11C2318yescomplemented
177C2×#4339—44no—
178C2×#4339C2318yescomplemented
179C22×D44C2311yescharacteristic
180C22×D44C2312yes—
181C22×D44C2311yescharacteristic
182C22×D44C2312yes—
183C22×C4×D11—44no—
184C22×C4×D11—44no—
185C22×C4×D11C2311yescharacteristic
186C22×C4×D11C2311yescharacteristic
187C22×C4×D11C2312yes—
188C22×C4×D11C2311yescharacteristic
189C22×C4×D11C2311yescharacteristic
190C22×C4×D11C2311yescharacteristic
191C22×C4×D11C2311yescharacteristic
192C22×C4×D11C2312yes—
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2312yes—
197C22×C4×D11C2318yes—
198C22×C4×D11C2318yescomplemented
199C22×Dic22—44no—
200C22×Dic22C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C22×Dic22C2312yes—
203C22×Dic22C2318yescomplemented
204C11×#126C23116yescomplemented
205C11×#125C2318yescomplemented
206C11×#123C23116yescomplemented
207C11×#121C2318yescomplemented
208C11×#121C23116yescomplemented
209C11×#121C2318yescomplemented
210C4×D4×C11C2318yescomplemented
211C4×D4×C11C23116yescomplemented
212C4×D4×C11C2318yescomplemented
213C11×#117C2318yescomplemented
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2312yes—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2312yes—
220C2×C11×C4⋊C4C2312yes—
221C2×C11×C4⋊C4C2318yescomplemented
222C2×C11×C22⋊C4C2312yes—
223C2×C11×C22⋊C4C2312yes—
224C2×C11×C22⋊C4C2312yes—
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2312yes—
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2312yes—
230C2×C22⋊Dic11C2312yes—
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2312yes—
233C2×C22⋊Dic11C2312yes—
234C2×C22⋊Dic11C2312yes—
235C2×C22⋊Dic11C2311yescharacteristic
236#66992C23116yescomplemented
237#66992C23116yescomplemented
238#66992C23116yescomplemented
239#66991C2318yes—
240#66991C23116yescomplemented
241#66990C23116yes—
242#66990C23116yescomplemented
243#66989C2318yescomplemented
244D4×Dic11C2318yescomplemented
245D4×Dic11C23116yescomplemented
246D4×Dic11C23116yescomplemented
247#66983C2318yescomplemented
248#66983C23116yescomplemented
249#66983C23116yescomplemented
250C4×C22⋊D11C2318yes—
251C4×C22⋊D11C2318yescomplemented
252C4×C22⋊D11C23116yescomplemented
253C4×C22⋊D11C23116yescomplemented
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2312yes—
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2312yes—
259C2×(C2×D11)⋊C4C2312yes—
260C2×(C2×D11)⋊C4C2312yes—
261C2×(C2×D11)⋊C4C2312yes—
262C2×(C2×D11)⋊C4C2312yes—
263C2×(C2×D11)⋊C4C2312yes—
264C2×(C2×D11)⋊C4C2312yes—
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2312yes—
267C2×(C2×D11)⋊C4C2312yes—
268C2×(C2×D11)⋊C4C2312yes—
269C2×(C2×D11)⋊C4C2312yes—
270C2×(C2×D11)⋊C4C23116yes—
271C2×(C2×D11)⋊C4C23116yescomplemented
272#66979C23116yescomplemented
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2312yes—
275C2×C4⋊Dic11C2312yes—
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2312yes—
278C2×C4⋊Dic11C2312yes—
279C2×C4⋊Dic11C2312yes—
280C2×C4⋊Dic11C2312yes—
281C2×C4⋊Dic11C23116yescomplemented
282#66977C2318yescomplemented
283C2×Dic11⋊C4C2312yes—
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2312yes—
286C2×Dic11⋊C4C2312yes—
287C2×Dic11⋊C4C2312yes—
288C2×Dic11⋊C4C2312yes—
289C2×Dic11⋊C4C2311yescharacteristic
290C2×C4×Dic11C2312yes—
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2312yes—
295C2×C4×Dic11C2312yes—
296#66951C23116yescomplemented
297#66951C23116yescomplemented
298#66951C23116yescomplemented
299#66950C23116yescomplemented
300#66950C23116yescomplemented
301#66950C2318yescomplemented
302#66950C2318yescomplemented
303#66950C2318yescomplemented
304#66950C2318yescomplemented
305#66950C2318yescomplemented
306#66949C23116yescomplemented
307#66948C2318yes—
308#66948C2318yescomplemented
309#66947C23116yes—
310#66947C23116yescomplemented
311#66947C23116yescomplemented
312#66946C2318yes—
313#66946C2318yescomplemented
314#66946C23116yescomplemented
315#66945C23116yescomplemented
316#66945C2318yescomplemented
317#66945C23116yescomplemented
318C4⋊C4×D11C2318yescomplemented
319C4⋊C4×D11C2318yescomplemented
320#66943C23116yescomplemented
321#66943C2318yescomplemented
322#66940C2318yescomplemented
323#66939C23116yescomplemented
324#66939C23116yescomplemented
325#66938C23116yescomplemented
326#66938C23116yescomplemented
327#66937C23116yes—
328#66936C23116yes—
329#66936C23116yescomplemented
330#66936C23116yescomplemented
331#66936C23116yescomplemented
332#66935C23116yes—
333#66935C23116yescomplemented
334(C22⋊D11)⋊C4C2318yes—
335(C22⋊D11)⋊C4C23116yescomplemented
336(C22⋊D11)⋊C4C2318yescomplemented
337(C22⋊D11)⋊C4C23116yescomplemented
338C22⋊C4×D11C2318yes—
339C22⋊C4×D11C23116yescomplemented
340C22⋊C4×D11C23116yescomplemented
341C22⋊C4×D11C2318yescomplemented
342#66932C23116yescomplemented
343#66932C23116yescomplemented
344#66931C23116yescomplemented
345#66928C2318yescomplemented
346C4×D44C2318yes—
347C4×D44C23116yescomplemented
348C4×D44C23116yescomplemented
349#66925C23116yescomplemented
350C42×D11C2318yescomplemented
351#66923C23116yescomplemented
352C4×Dic22C2318yescomplemented
353C2×#3505—111nomaximal, Sylow
354C24×C11C2411yescharacteristic
355C24×C11C2412yes—
356C24×C11C2411yescharacteristic
357C23×D11—24no—
358C23×D11—28no—
359C23×D11—42no—
360C23×D11—42no—
361C23×D11—42no—
362C23×D11—42no—
363C23×D11—44no—
364C23×D11—44no—
365C23×D11#4118yescomplemented
366C23×D11C2411yescharacteristic
367C23×D11C2412yes—
368C23×D11C2411yescharacteristic
369C23×D11C2411yescharacteristic
370C23×D11C2418yes—
371C23×D11C2414yes—
372C23×D11C2414yes—
373C2×D4×C11—24no—
374C2×D4×C11—28no—
375C2×D4×C11—24no—
376C2×D4×C11—44no—
377C2×D4×C11C2414yes—
378C2×D4×C11C2418yes—
379C2×D4×C11C2414yes—
380C2×D4×C11C2418yes—
381C22×C4×C11—24no—
382C22×C4×C11—24no—
383C22×C4×C11—44no—
384C22×C4×C11—44no—
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2412yes—
388C22×C4×C11C2412yes—
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2412yes—
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2414yes—
393C22×C4×C11C2414yes—
394C22×C4×C11C2418yes—
395C22×C4×C11C2418yes—
396C22×C4×C11C2411yescharacteristic
397C2×C22⋊D11—24no—
398C2×C22⋊D11—28no—
399C2×C22⋊D11—24no—
400C2×C22⋊D11—28no—
401C2×C22⋊D11—44no—
402C2×C22⋊D11—44no—
403C2×C22⋊D11—44no—
404C2×C22⋊D11C2414yes—
405C2×C22⋊D11C2418yes—
406C2×C22⋊D11C2414yes—
407C2×C22⋊D11C2418yes—
408C2×C22⋊D11C2418yes—
409C2×C22⋊D11C2418yes—
410C2×C22⋊D11C2418yes—
411C22×Dic11—44no—
412C22×Dic11—42no—
413C22×Dic11—42no—
414C22×Dic11—44no—
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2412yes—
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2412yes—
421C22×Dic11C2412yes—
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2418yes—
424C22×Dic11C2414yes—
425C22×Dic11C2414yes—
426C22×Dic11C2418yes—
427#4341—416no—
428D4×D11—232no—
429D4×D11—264no—
430D4×D11—416no—
431#4339—416no—
432C2×D44—24no—
433C2×D44—28no—
434C2×D44—24no—
435C2×D44—44no—
436C2×D44C2414yes—
437C2×D44C2418yes—
438C2×D44C2414yes—
439C2×D44C2418yes—
440C2×C4×D11—28no—
441C2×C4×D11—24no—
442C2×C4×D11—24no—
443C2×C4×D11—24no—
444C2×C4×D11—24no—
445C2×C4×D11—42no—
446C2×C4×D11—42no—
447C2×C4×D11—42no—
448C2×C4×D11—42no—
449C2×C4×D11—42no—
450C2×C4×D11—44no—
451C2×C4×D11—44no—
452C2×C4×D11—416no—
453C2×C4×D11—416no—
454C2×C4×D11C2414yes—
455C2×C4×D11C2414yes—
456C2×C4×D11C2418yes—
457C2×C4×D11C2414yes—
458C2×C4×D11C2414yes—
459C2×C4×D11C2414yes—
460C2×C4×D11C2414yes—
461C2×C4×D11C2418yes—
462C2×C4×D11C2414yes—
463C2×C4×D11C2414yes—
464C2×C4×D11C2414yes—
465C2×C4×D11C2418yes—
466C2×Dic22—24no—
467C2×Dic22—24no—
468C2×Dic22—416no—
469C2×Dic22—44no—
470C2×Dic22C2414yes—
471C2×Dic22C2414yes—
472C2×Dic22C2418yes—
473C11×C4⋊C4C2414yes—
474C11×C4⋊C4C2418yes—
475C11×C4⋊C4C2414yes—
476C11×C4⋊C4C2414yes—
477C11×C4⋊C4C2414yes—
478C11×C4⋊C4C2418yes—
479C11×C4⋊C4C2418yes—
480C11×C22⋊C4C2418yes—
481C11×C22⋊C4C2418yes—
482C11×C22⋊C4C2418yes—
483C11×C22⋊C4C2414yes—
484C11×C22⋊C4C2414yes—
485C11×C22⋊C4C2418yes—
486C42×C11C2414yes—
487C42×C11C2418yes—
488C22⋊Dic11C2418yes—
489C22⋊Dic11C2414yes—
490C22⋊Dic11C2418yes—
491C22⋊Dic11C2418yes—
492C22⋊Dic11C2418yes—
493C22⋊Dic11C2414yes—
494(C2×D11)⋊C4C2414yes—
495(C2×D11)⋊C4C2418yes—
496(C2×D11)⋊C4C2414yes—
497(C2×D11)⋊C4C2414yes—
498(C2×D11)⋊C4C2418yes—
499(C2×D11)⋊C4C2418yes—
500(C2×D11)⋊C4C2418yes—
501(C2×D11)⋊C4C2418yes—
502(C2×D11)⋊C4C2418yes—
503(C2×D11)⋊C4C2418yes—
504(C2×D11)⋊C4C2418yes—
505(C2×D11)⋊C4C2414yes—
506(C2×D11)⋊C4C2418yes—
507(C2×D11)⋊C4C2418yes—
508(C2×D11)⋊C4C2418yes—
509(C2×D11)⋊C4C2418yes—
510C4⋊Dic11C2414yes—
511C4⋊Dic11C2418yes—
512C4⋊Dic11C2418yes—
513C4⋊Dic11C2414yes—
514C4⋊Dic11C2418yes—
515C4⋊Dic11C2418yes—
516C4⋊Dic11C2418yes—
517C4⋊Dic11C2418yes—
518Dic11⋊C4C2418yes—
519Dic11⋊C4C2414yes—
520Dic11⋊C4C2418yes—
521Dic11⋊C4C2418yes—
522Dic11⋊C4C2418yes—
523Dic11⋊C4C2418yes—
524Dic11⋊C4C2414yes—
525C4×Dic11C2418yes—
526C4×Dic11C2414yes—
527C4×Dic11C2414yes—
528C4×Dic11C2414yes—
529C4×Dic11C2418yes—
530C4×Dic11C2418yes—
531#3505—1132no—
532C2×#553—112no—
533C2×#553—112no—
534C2×#553—111no—
535C2×#553D1111yescharacteristic, complemented
536C2×#552—111no—
537C2×#552—111no—
538C2×#551—112no—
539C2×#551—112no—
540C2×#548—111no—
541C2×#548—111no—
542C2×#546—111no—
543C2×#546—111no—
544C2×#539—112no—
545C2×#538—112no—
546C2×#534—112no—
547C2×#529—111no—
548C2×#529—111no—
549C2×#525—111no—
550C2×#525—111no—
551C22×C22⋊Q8—111no—
552C22×#121—111no—
553C2×#518—112no—
554C22×C4×D4—111no—
555C23×C11—22no—
556C23×C11—22no—
557C23×C11—22no—
558C23×C11—24no—
559C23×C11—22no—
560C23×C11—24no—
561C23×C11—24no—
562C23×C11—22no—
563C23×C11C2×#4114yes—
564C23×C11C2512yes—
565C23×C11C2514yes—
566C23×C11C2512yes—
567C23×C11C2511yescharacteristic
568C22×D11—22no—
569C22×D11—22no—
570C22×D11—22no—
571C22×D11—22no—
572C22×D11—22no—
573C22×D11—24no—
574C22×D11—22no—
575C22×D11—24no—
576C22×D11—24no—
577C22×D11—22no—
578C22×D11—28no—
579C22×D11—216no—
580C22×D11—44no—
581C22×D11—44no—
582C22×D11—416no—
583C22×D11—44no—
584C22×D11—44no—
585C22×D11—48no—
586C22×D11—48no—
587C22×D11—416no—
588C22×D11—816no—
589C22×D11C2×#4114yes—
590C22×D11C2×#4114yes—
591C22×D11C2×#41116yescomplemented
592C22×D11C2512yes—
593C22×D11C2514yes—
594C22×D11C2512yes—
595C22×D11C2512yes—
596D4×C11—28no—
597D4×C11—216no—
598D4×C11—28no—
599D4×C11—48no—
600C2×C4×C11—24no—
601C2×C4×C11—22no—
602C2×C4×C11—22no—
603C2×C4×C11—22no—
604C2×C4×C11—22no—
605C2×C4×C11—24no—
606C2×C4×C11—24no—
607C2×C4×C11—28no—
608C2×C4×C11—28no—
609C2×C4×C11—48no—
610C2×C4×C11—48no—
611C2×C4×C11H(5,𝔽2)14yes—
612C2×C4×C11C2512yes—
613C2×C4×C11C2512yes—
614C2×C4×C11C2514yes—
615C2×C4×C11C2514yes—
616C2×C4×C11C2512yes—
617C2×C4×C11C2514yes—
618C2×C4×C11C2512yes—
619C2×C4×C11C2512yes—
620C22⋊D11—28no—
621C22⋊D11—216no—
622C22⋊D11—28no—
623C22⋊D11—216no—
624C22⋊D11—48no—
625C22⋊D11—48no—
626C22⋊D11—48no—
627C2×Dic11—24no—
628C2×Dic11—22no—
629C2×Dic11—24no—
630C2×Dic11—24no—
631C2×Dic11—22no—
632C2×Dic11—22no—
633C2×Dic11—22no—
634C2×Dic11—22no—
635C2×Dic11—48no—
636C2×Dic11—44no—
637C2×Dic11—44no—
638C2×Dic11—48no—
639C2×Dic11C2512yes—
640C2×Dic11C2514yes—
641C2×Dic11C2512yes—
642C2×Dic11C2512yes—
643C2×Dic11C2512yes—
644C2×Dic11C2514yes—
645C2×Dic11C2514yes—
646C2×Dic11C2512yes—
647D44—28no—
648D44—216no—
649D44—28no—
650D44—48no—
651C4×D11—216no—
652C4×D11—28no—
653C4×D11—28no—
654C4×D11—28no—
655C4×D11—28no—
656C4×D11—44no—
657C4×D11—44no—
658C4×D11—44no—
659C4×D11—44no—
660C4×D11—44no—
661C4×D11—48no—
662C4×D11—48no—
663Dic22—28no—
664Dic22—28no—
665Dic22—48no—
666C22×#41—111no—
667C22×#41—111no—
668C23×Q8—111no—
669C23×D4—111no—
670C23×D4—112no—
671C23×D4—111no—
672C24×C4—111no—
673C24×C4—111no—
674#553—1132no—
675#553—1132no—
676#553—1116no—
677#553C2×D11116yescomplemented
678#552—1116no—
679#552—1116no—
680#551—1132no—
681#551—1132no—
682#548—1116no—
683#548—1116no—
684#546—1116no—
685#546—1116no—
686#539—1132no—
687#538—1132no—
688#534—1132no—
689#529—1116no—
690#529—1116no—
691C2×#126—112no—
692C2×#126—112no—
693C2×#126—112no—
694C2×#126—112no—
695C2×#126—112no—
696C2×#126C2×D1112yescomplemented
697C2×#125—111no—
698C2×#125—112no—
699C2×#125—112no—
700C2×#125C2×D1111yescharacteristic, complemented
701C2×#124—111no—
702C2×#124—112no—
703C2×#124—112no—
704C2×#124—111no—
705#525—1116no—
706#525—1116no—
707C2×#123—112no—
708C2×#123—112no—
709C2×#123—112no—
710C2×#123—112no—
711C2×#123—112no—
712C2×#123—112no—
713C2×#123—112no—
714C2×#123—112no—
715C2×#123—112no—
716C2×#123C2×D1112yescomplemented
717C2×C22⋊Q8—111no—
718C2×C22⋊Q8—112no—
719C2×C22⋊Q8—111no—
720C2×C22⋊Q8—111no—
721C2×C22⋊Q8—112no—
722C2×C22⋊Q8—111no—
723C2×C22⋊Q8—111no—
724C2×C22⋊Q8—112no—
725C2×C22⋊Q8—111no—
726C2×C22⋊Q8—1116no—
727C2×C22⋊Q8—112no—
728C2×#121—111no—
729C2×#121—112no—
730C2×#121—112no—
731C2×#121—112no—
732C2×#121—112no—
733C2×#121—111no—
734C2×#121—112no—
735C2×#121—112no—
736C2×#121—1116no—
737C2×#121—111no—
738C2×#121—111no—
739C2×#121—112no—
740C2×#121C2×D1111yescharacteristic, complemented
741C2×#121C2×D1111yescharacteristic, complemented
742C2×#121C2×D1112yescomplemented
743C2×#120—112no—
744C2×#120—112no—
745C2×#120—112no—
746C2×#120—112no—
747#518—1132no—
748C2×C4×Q8—111no—
749C2×C4×Q8—111no—
750C2×C4×D4—111no—
751C2×C4×D4—112no—
752C2×C4×D4—112no—
753C2×C4×D4—111no—
754C2×C4×D4—111no—
755C2×C4×D4—112no—
756C2×C4×D4—112no—
757C2×C4×D4—1116no—
758C2×C4×D4—111no—
759C2×C4×D4—112no—
760C2×C4×D4—111no—
761C2×C4×D4—111no—
762C2×C4×D4—111no—
763C2×C4×D4—112no—
764C2×C4×D4—112no—
765C2×C4×D4—111no—
766C2×C4×D4—112no—
767C2×C4×D4—112no—
768C2×C4×D4C2×D1111yescharacteristic, complemented
769C2×C4×D4C2×D1112yescomplemented
770C2×C4×D4C2×D1111yescharacteristic, complemented
771C2×#117—112no—
772C2×#117—112no—
773C2×#117—111no—
774C2×#117—112no—
775C2×#117—112no—
776C2×#117C2×D1111yescharacteristic, complemented
777C22×C4⋊C4—112no—
778C22×C4⋊C4—111no—
779C22×C4⋊C4—111no—
780C22×C4⋊C4C2×D1111yescharacteristic, complemented
781C22×C22⋊C4—112no—
782C22×C22⋊C4—112no—
783C22×C22⋊C4—111no—
784C22×C22⋊C4—111no—
785C22×C22⋊C4—112no—
786C22×C22⋊C4—112no—
787C22×C42—111no—
788C22×C11—22no—
789C22×C11—22no—
790C22×C11—28no—
791C22×C11—22no—
792C22×C11—24no—
793C22×C11—22no—
794C22×C11—24no—
795C22×C11—24no—
796C22×C11—22no—
797C22×C11—44no—
798C22×C11—48no—
799C22×C11C22×#4114yes—
800C22×C11C22×#4112yes—
801C22×C11C2×H(5,𝔽2)12yes—
802C22×C11#58512yes—
803C22×C11C2611yescharacteristic
804C2×D11—22no—
805C2×D11—22no—
806C2×D11—22no—
807C2×D11—22no—
808C2×D11—28no—
809C2×D11—28no—
810C2×D11—22no—
811C2×D11—24no—
812C2×D11—22no—
813C2×D11—24no—
814C2×D11—24no—
815C2×D11—22no—
816C2×D11—416no—
817C2×D11—416no—
818C2×D11—44no—
819C2×D11—48no—
820C2×D11—816no—
821C2×D11C22×#4114yes—
822C2×D11C22×#4114yes—
823C4×C11—22no—
824C4×C11—24no—
825C4×C11—22no—
826C4×C11—22no—
827C4×C11—22no—
828C4×C11—24no—
829C4×C11—24no—
830C4×C11C2×H(5,𝔽2)14yes—
831Dic11—24no—
832Dic11—22no—
833Dic11—24no—
834Dic11—24no—
835Dic11—22no—
836Dic11—22no—
837Dic11—22no—
838Dic11—22no—
839C25—111no—
840C25—112no—
841C25—111no—
842C2×#41—118no—
843C2×#41—118no—
844C2×#41—444no—
845C2×#41—444no—
846C22×Q8—111no—
847C22×Q8—111no—
848C22×Q8—112no—
849C22×Q8—118no—
850C22×Q8—444no—
851C22×D4—111no—
852C22×D4—112no—
853C22×D4—111no—
854C22×D4—112no—
855C22×D4—112no—
856C22×D4—112no—
857C22×D4—112no—
858C22×D4—118no—
859C22×D4—1116no—
860C22×D4—118no—
861C22×D4—111no—
862C22×D4—112no—
863C22×D4—111no—
864C22×D4—112no—
865C22×D4—228no—
866C22×D4—2216no—
867C22×D4—444no—
868C22×D4C22×D1111yescharacteristic
869C22×D4C22×D1112yes—
870C22×D4C22×D1111yescharacteristic
871C22×D4C22×D1112yes—
872C23×C4—112no—
873C23×C4—112no—
874C23×C4—111no—
875C23×C4—111no—
876C23×C4—112no—
877C23×C4—111no—
878C23×C4—111no—
879C23×C4—111no—
880C23×C4—111no—
881C23×C4—111no—
882C23×C4—111no—
883C23×C4—111no—
884C23×C4—111no—
885C23×C4—112no—
886C23×C4—112no—
887C23×C4—111no—
888C23×C4—118no—
889C23×C4—118no—
890C23×C4—444no—
891C23×C4—444no—
892C23×C4C22×D1111yescharacteristic
893C23×C4C22×D1111yescharacteristic
894C23×C4C22×D1112yes—
895C23×C4C22×D1112yes—
896#126—1116no—
897#126—1116no—
898#126—1116no—
899#126—1116no—
900#126—1116no—
901#126C22×D11116yescomplemented
902#125—118no—
903#125—1116no—
904#125—1116no—
905#125C22×D1118yescomplemented
906#124—118no—
907#124—1116no—
908#124—1116no—
909#124—118no—
910#123—1116no—
911#123—1116no—
912#123—1116no—
913#123—1116no—
914#123—1116no—
915#123—1116no—
916#123—1116no—
917#123—1116no—
918#123—1116no—
919#123C22×D11116yescomplemented
920C22⋊Q8—118no—
921C22⋊Q8—118no—
922C22⋊Q8—118no—
923C22⋊Q8—1116no—
924C22⋊Q8—118no—
925C22⋊Q8—118no—
926C22⋊Q8—1116no—
927C22⋊Q8—118no—
928C22⋊Q8—1116no—
929C22⋊Q8—1116no—
930#121—118no—
931#121—1116no—
932#121—1116no—
933#121—1116no—
934#121—1116no—
935#121—118no—
936#121—1116no—
937#121—1116no—
938#121—118no—
939#121—118no—
940#121—1116no—
941#121C22×D1118yescomplemented
942#121C22×D1118yescomplemented
943#121C22×D11116yescomplemented
944#120—1116no—
945#120—1116no—
946#120—1116no—
947#120—1116no—
948C4×Q8—118no—
949C4×Q8—118no—
950C4×D4—118no—
951C4×D4—1116no—
952C4×D4—1116no—
953C4×D4—118no—
954C4×D4—118no—
955C4×D4—1116no—
956C4×D4—1116no—
957C4×D4—118no—
958C4×D4—1116no—
959C4×D4—118no—
960C4×D4—118no—
961C4×D4—118no—
962C4×D4—1116no—
963C4×D4—1116no—
964C4×D4—118no—
965C4×D4—1116no—
966C4×D4—1116no—
967C4×D4C22×D1118yescomplemented
968C4×D4C22×D11116yescomplemented
969C4×D4C22×D1118yescomplemented
970#117—1116no—
971#117—1116no—
972#117—118no—
973#117—1116no—
974#117—1116no—
975#117C22×D1118yescomplemented
976C2×C4⋊C4—112no—
977C2×C4⋊C4—112no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—112no—
983C2×C4⋊C4—112no—
984C2×C4⋊C4—112no—
985C2×C4⋊C4—1116no—
986C2×C4⋊C4—112no—
987C2×C4⋊C4—112no—
988C2×C4⋊C4—112no—
989C2×C4⋊C4—112no—
990C2×C4⋊C4—112no—
991C2×C4⋊C4—112no—
992C2×C4⋊C4—118no—
993C2×C4⋊C4—118no—
994C2×C4⋊C4C22×D1111yescharacteristic
995C2×C4⋊C4C22×D1111yescharacteristic
996C2×C4⋊C4C22×D1111yescharacteristic
997C2×C4⋊C4C22×D1111yescharacteristic
998C2×C4⋊C4C22×D1112yes—
999C2×C4⋊C4C22×D1112yes—
1000C2×C4⋊C4C22×D1112yes—
1001C2×C4⋊C4C22×D1118yescomplemented
1002C2×C22⋊C4—112no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—112no—
1006C2×C22⋊C4—112no—
1007C2×C22⋊C4—112no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—112no—
1011C2×C22⋊C4—112no—
1012C2×C22⋊C4—112no—
1013C2×C22⋊C4—112no—
1014C2×C22⋊C4—112no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—112no—
1017C2×C22⋊C4—112no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—1116no—
1020C2×C22⋊C4—1116no—
1021C2×C22⋊C4—112no—
1022C2×C22⋊C4—112no—
1023C2×C22⋊C4—112no—
1024C2×C22⋊C4—112no—
1025C2×C22⋊C4—112no—
1026C2×C22⋊C4—118no—
1027C2×C22⋊C4—118no—
1028C2×C22⋊C4—1116no—
1029C2×C22⋊C4—1116no—
1030C2×C22⋊C4C22×D1111yescharacteristic
1031C2×C22⋊C4C22×D1112yes—
1032C2×C22⋊C4C22×D1111yescharacteristic
1033C2×C22⋊C4C22×D1112yes—
1034C2×C22⋊C4C22×D1112yes—
1035C2×C22⋊C4C22×D1112yes—
1036C2×C42—112no—
1037C2×C42—112no—
1038C2×C42—112no—
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—111no—
1042C2×C42—118no—
1043C2×C42C22×D1112yes—
1044C2×C42C22×D1111yescharacteristic
1045C2×C11—24no—
1046C2×C11—42no—
1047C2×C11—44no—
1048C2×C11#350514yescomplemented
1049C2×C11C23×#4111yescharacteristic
1050C2×C11C22×H(5,𝔽2)11yescharacteristic
1051C2×C11C2×#58511yescharacteristic
1052D11—24no—
1053D11—24no—
1054D11—42no—
1055D11—44no—
1056C24—111no—
1057C24—111no—
1058C24—118no—
1059C24—114no—
1060C24—111no—
1061C24—112no—
1062C24—118no—
1063C24—114no—
1064C24—224no—
1065C24—228no—
1066C24—442no—
1067C24—442no—
1068C24—442no—
1069C24—442no—
1070C24—444no—
1071C24—444no—
1072C24C23×D1111yescharacteristic
1073C24C23×D1112yes—
1074C24C23×D1111yescharacteristic
1075#41—4416no—
1076#41—4416no—
1077C2×Q8—114no—
1078C2×Q8—114no—
1079C2×Q8—118no—
1080C2×Q8—224no—
1081C2×Q8—224no—
1082C2×Q8—444no—
1083C2×Q8—4416no—
1084C2×D4—24no—
1085C2×D4—28no—
1086C2×D4—24no—
1087C2×D4—44no—
1088C2×D4—114no—
1089C2×D4—118no—
1090C2×D4—114no—
1091C2×D4—118no—
1092C2×D4—118no—
1093C2×D4—118no—
1094C2×D4—118no—
1095C2×D4—114no—
1096C2×D4—118no—
1097C2×D4—114no—
1098C2×D4—118no—
1099C2×D4—224no—
1100C2×D4—228no—
1101C2×D4—2232no—
1102C2×D4—2264no—
1103C2×D4—224no—
1104C2×D4—228no—
1105C2×D4—224no—
1106C2×D4—228no—
1107C2×D4—224no—
1108C2×D4—444no—
1109C2×D4—4416no—
1110C2×D4—444no—
1111C2×D4—444no—
1112C2×D4—444no—
1113C2×D4C23×D1114yes—
1114C2×D4C23×D1118yes—
1115C2×D4C23×D1114yes—
1116C2×D4C23×D1118yes—
1117C22×C4—24no—
1118C22×C4—24no—
1119C22×C4—44no—
1120C22×C4—44no—
1121C22×C4—111no—
1122C22×C4—112no—
1123C22×C4—111no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—112no—
1127C22×C4—112no—
1128C22×C4—111no—
1129C22×C4—118no—
1130C22×C4—118no—
1131C22×C4—114no—
1132C22×C4—114no—
1133C22×C4—114no—
1134C22×C4—114no—
1135C22×C4—118no—
1136C22×C4—114no—
1137C22×C4—114no—
1138C22×C4—114no—
1139C22×C4—114no—
1140C22×C4—114no—
1141C22×C4—114no—
1142C22×C4—118no—
1143C22×C4—118no—
1144C22×C4—114no—
1145C22×C4—228no—
1146C22×C4—224no—
1147C22×C4—224no—
1148C22×C4—224no—
1149C22×C4—224no—
1150C22×C4—4416no—
1151C22×C4—4416no—
1152C22×C4—442no—
1153C22×C4—442no—
1154C22×C4—442no—
1155C22×C4—442no—
1156C22×C4—444no—
1157C22×C4—442no—
1158C22×C4—444no—
1159C22×C4—442no—
1160C22×C4—442no—
1161C22×C4—444no—
1162C22×C4—444no—
1163C22×C4C23×D1114yes—
1164C22×C4C23×D1114yes—
1165C22×C4C23×D1111yescharacteristic
1166C22×C4C23×D1112yes—
1167C22×C4C23×D1111yescharacteristic
1168C22×C4C23×D1112yes—
1169C22×C4C23×D1111yescharacteristic
1170C22×C4C23×D1112yes—
1171C22×C4C23×D1111yescharacteristic
1172C22×C4C23×D1118yes—
1173C22×C4C23×D1118yes—
1174C22×C4C23×D1111yescharacteristic
1175C4⋊C4—118no—
1176C4⋊C4—118no—
1177C4⋊C4—114no—
1178C4⋊C4—114no—
1179C4⋊C4—114no—
1180C4⋊C4—114no—
1181C4⋊C4—118no—
1182C4⋊C4—118no—
1183C4⋊C4—118no—
1184C4⋊C4—118no—
1185C4⋊C4—118no—
1186C4⋊C4—118no—
1187C4⋊C4—118no—
1188C4⋊C4—118no—
1189C4⋊C4—118no—
1190C4⋊C4C23×D1114yes—
1191C4⋊C4C23×D1114yes—
1192C4⋊C4C23×D1114yes—
1193C4⋊C4C23×D1114yes—
1194C4⋊C4C23×D1118yes—
1195C4⋊C4C23×D1118yes—
1196C4⋊C4C23×D1118yes—
1197C22⋊C4—118no—
1198C22⋊C4—114no—
1199C22⋊C4—114no—
1200C22⋊C4—118no—
1201C22⋊C4—118no—
1202C22⋊C4—118no—
1203C22⋊C4—114no—
1204C22⋊C4—114no—
1205C22⋊C4—118no—
1206C22⋊C4—118no—
1207C22⋊C4—118no—
1208C22⋊C4—118no—
1209C22⋊C4—118no—
1210C22⋊C4—114no—
1211C22⋊C4—118no—
1212C22⋊C4—118no—
1213C22⋊C4—114no—
1214C22⋊C4—118no—
1215C22⋊C4—118no—
1216C22⋊C4—118no—
1217C22⋊C4—118no—
1218C22⋊C4—118no—
1219C22⋊C4C23×D1114yes—
1220C22⋊C4C23×D1118yes—
1221C22⋊C4C23×D1114yes—
1222C22⋊C4C23×D1118yes—
1223C22⋊C4C23×D1118yes—
1224C22⋊C4C23×D1118yes—
1225C42—114no—
1226C42—114no—
1227C42—114no—
1228C42—118no—
1229C42—118no—
1230C42—118no—
1231C42C23×D1114yes—
1232C42C23×D1118yes—
1233C11C2×#350511yescharacteristic, complemented, Sylow
1234C23—22no—
1235C23—22no—
1236C23—22no—
1237C23—24no—
1238C23—22no—
1239C23—24no—
1240C23—24no—
1241C23—22no—
1242C23—114no—
1243C23—114no—
1244C23—112no—
1245C23—112no—
1246C23—1116no—
1247C23—112no—
1248C23—114no—
1249C23—228no—
1250C23—2216no—
1251C23—222no—
1252C23—222no—
1253C23—222no—
1254C23—222no—
1255C23—222no—
1256C23—224no—
1257C23—222no—
1258C23—224no—
1259C23—224no—
1260C23—222no—
1261C23—444no—
1262C23—444no—
1263C23—444no—
1264C23—4416no—
1265C23—444no—
1266C23—448no—
1267C23—448no—
1268C23—4416no—
1269C23—8816no—
1270C23#41×D1114yes—
1271C23C24×D1112yes—
1272C23C24×D1114yes—
1273C23C24×D1112yes—
1274C23C24×D1111yescharacteristic
1275Q8—228no—
1276Q8—228no—
1277Q8—448no—
1278D4—28no—
1279D4—216no—
1280D4—28no—
1281D4—48no—
1282D4—228no—
1283D4—2216no—
1284D4—228no—
1285D4—2216no—
1286D4—228no—
1287D4—2216no—
1288D4—228no—
1289D4—448no—
1290D4—448no—
1291D4—448no—
1292D4—448no—
1293C2×C4—24no—
1294C2×C4—22no—
1295C2×C4—22no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—24no—
1299C2×C4—24no—
1300C2×C4—28no—
1301C2×C4—28no—
1302C2×C4—48no—
1303C2×C4—48no—
1304C2×C4—112no—
1305C2×C4—112no—
1306C2×C4—114no—
1307C2×C4—112no—
1308C2×C4—112no—
1309C2×C4—114no—
1310C2×C4—114no—
1311C2×C4—112no—
1312C2×C4—2216no—
1313C2×C4—228no—
1314C2×C4—224no—
1315C2×C4—222no—
1316C2×C4—222no—
1317C2×C4—222no—
1318C2×C4—222no—
1319C2×C4—224no—
1320C2×C4—224no—
1321C2×C4—222no—
1322C2×C4—228no—
1323C2×C4—228no—
1324C2×C4—228no—
1325C2×C4—444no—
1326C2×C4—444no—
1327C2×C4—444no—
1328C2×C4—444no—
1329C2×C4—448no—
1330C2×C4—444no—
1331C2×C4—448no—
1332C2×C4—444no—
1333C2×C4—444no—
1334C2×C4—448no—
1335C2×C4—448no—
1336C2×C4#6704214yes—
1337C2×C4C24×D1112yes—
1338C2×C4C24×D1112yes—
1339C2×C4C24×D1114yes—
1340C2×C4C24×D1114yes—
1341C2×C4C24×D1112yes—
1342C2×C4C24×D1114yes—
1343C2×C4C24×D1112yes—
1344C2×C4C24×D1112yes—
1345C22—22no—
1346C22—22no—
1347C22—28no—
1348C22—22no—
1349C22—24no—
1350C22—22no—
1351C22—24no—
1352C22—24no—
1353C22—22no—
1354C22—44no—
1355C22—48no—
1356C22—114no—
1357C22—114no—
1358C22—222no—
1359C22—222no—
1360C22—222no—
1361C22—222no—
1362C22—228no—
1363C22—228no—
1364C22—222no—
1365C22—224no—
1366C22—222no—
1367C22—224no—
1368C22—224no—
1369C22—222no—
1370C22—4416no—
1371C22—4416no—
1372C22—444no—
1373C22—448no—
1374C22—8816no—
1375C22C2×#41×D1114yes—
1376C22C2×#41×D1112yes—
1377C22C2×#6704212yes—
1378C22#1062345512yes—
1379C22C25×D1111yescharacteristic
1380C4—24no—
1381C4—22no—
1382C4—22no—
1383C4—22no—
1384C4—22no—
1385C4—24no—
1386C4—24no—
1387C4—222no—
1388C4—224no—
1389C4—222no—
1390C4—222no—
1391C4—222no—
1392C4—224no—
1393C4—224no—
1394C4—222no—
1395C4C2×#6704214yes—
1396C2—24no—
1397C2—42no—
1398C2—44no—
1399C2—224no—
1400C2—224no—
1401C2—442no—
1402C2—444no—
1403C2#1308244514yesdirect product factor
1404C2C22×#41×D1111yescharacteristic
1405C2C22×#6704211yescharacteristic
1406C2C2×#1062345511yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#553C2
socleC23×C11C25
hypercenterC2×#553D11
hypocenterC11C2×#3505
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #13082445C2direct (N × H)
2. C2×#10623149C2semidirect
3. C2×#10623045C2semidirect
4. C2×#10623096C2semidirect
5. C2×#10623060C2semidirect
6. C2×#10623225C2semidirect
7. C2×#10623236C2semidirect
8. C2×#10623189C2semidirect
9. C2×#10623083C2semidirect
10. C2×#10623129C2semidirect
11. C2×#10623143C2semidirect
12. C2×#10623085C2semidirect
13. C2×#10623238C2semidirect
14. C2×#10623188C2semidirect
15. C2×#10623136C2semidirect
16. C2×#10623222C2semidirect
17. C2×#10623088C2semidirect
18. C2×#10623055C2semidirect
19. C2×#10623137C2semidirect
20. C22×#66950C2semidirect
21. C2×D11×#121C2semidirect
22. C2×#10623076C2semidirect
23. C2×C4×D4×D11C2semidirect
24. C2×C11×#553C2semidirect
25. C22×#4341C22semidirect
28. C22×D4×D11C22semidirect
29. C22×#4339C22semidirect
31. C23×C4×D11C22semidirect
32. C23×Dic22C22semidirect
33. C11×#553C22semidirect
34. C2×C11×#126C22semidirect
35. C2×C11×#125C22semidirect
36. C2×C11×#123C22semidirect
37. C2×C11×#121C22semidirect
38. C2×C11×#121C22semidirect
39. C2×C11×#121C22semidirect
40. C2×C4×D4×C11C22semidirect
41. C2×C4×D4×C11C22semidirect
42. C2×C4×D4×C11C22semidirect
43. C2×C11×#117C22semidirect
44. C22×C11×C4⋊C4C22semidirect
45. C2×#66992C22semidirect
46. C2×#66992C22semidirect
47. C2×#66992C22semidirect
49. C2×#66991C22semidirect
51. C2×#66990C22semidirect
52. C2×#66989C22semidirect
53. C2×D4×Dic11C22semidirect
54. C2×D4×Dic11C22semidirect
55. C2×D4×Dic11C22semidirect
56. C2×#66983C22semidirect
57. C2×#66983C22semidirect
58. C2×#66983C22semidirect
60. C2×C4×C22⋊D11C22semidirect
61. C2×C4×C22⋊D11C22semidirect
62. C2×C4×C22⋊D11C22semidirect
64. C22×(C2×D11)⋊C4C22semidirect
65. C2×#66979C22semidirect
66. C22×C4⋊Dic11C22semidirect
67. C2×#66977C22semidirect
68. #10623238C22semidirect
69. #10623236C22semidirect
70. #10623225C22semidirect
71. #10623222C22semidirect
72. #10623189C22semidirect
73. #10623188C22semidirect
74. #10623149C22semidirect
75. #10623143C22semidirect
76. #10623137C22semidirect
77. #10623136C22semidirect
78. D11×#121C22semidirect
79. #10623129C22semidirect
80. #10623096C22semidirect
81. #10623088C22semidirect
82. #10623085C22semidirect
83. #10623083C22semidirect
84. #10623076C22semidirect
85. C4×D4×D11C22semidirect
86. #10623060C22semidirect
87. #10623055C22semidirect
88. #10623045C22semidirect
89. C2×#66951C22semidirect
90. C2×#66951C22semidirect
91. C2×#66951C22semidirect
92. C2×#66950C22semidirect
93. C2×#66950C22semidirect
94. C2×#66950C22semidirect
95. C2×#66950C22semidirect
96. C2×#66950C22semidirect
97. C2×#66950C22semidirect
98. C2×#66950C22semidirect
99. C2×#66950C22semidirect
100. C2×#66949C22semidirect
102. C2×#66948C22semidirect
104. C2×#66947C22semidirect
105. C2×#66947C22semidirect
107. C2×#66946C22semidirect
108. C2×#66946C22semidirect
109. C2×#66945C22semidirect
110. C2×#66945C22semidirect
111. C2×#66945C22semidirect
112. C2×C4⋊C4×D11C22semidirect
113. C2×C4⋊C4×D11C22semidirect
114. C2×#66943C22semidirect
115. C2×#66943C22semidirect
116. C2×#66940C22semidirect
117. C2×#66939C22semidirect
118. C2×#66939C22semidirect
119. C2×#66938C22semidirect
120. C2×#66938C22semidirect
123. C2×#66936C22semidirect
124. C2×#66936C22semidirect
125. C2×#66936C22semidirect
127. C2×#66935C22semidirect
129. C2×(C22⋊D11)⋊C4C22semidirect
130. C2×(C22⋊D11)⋊C4C22semidirect
131. C2×(C22⋊D11)⋊C4C22semidirect
133. C2×C22⋊C4×D11C22semidirect
134. C2×C22⋊C4×D11C22semidirect
135. C2×C22⋊C4×D11C22semidirect
136. C2×#66932C22semidirect
137. C2×#66932C22semidirect
138. C2×#66931C22semidirect
139. C2×#66928C22semidirect
141. C2×C4×D44C22semidirect
142. C2×C4×D44C22semidirect
143. C2×#66925C22semidirect
144. C2×C42×D11C22semidirect
145. C2×#66923C22semidirect
146. C2×C4×Dic22C22semidirect
170. C2×#4341C23semidirect
176. C2×D4×D11C23semidirect
178. C2×#4339C23semidirect
198. C22×C4×D11C23semidirect
203. C22×Dic22C23semidirect
204. C11×#126C23semidirect
205. C11×#125C23semidirect
206. C11×#123C23semidirect
207. C11×#121C23semidirect
208. C11×#121C23semidirect
209. C11×#121C23semidirect
210. C4×D4×C11C23semidirect
211. C4×D4×C11C23semidirect
212. C4×D4×C11C23semidirect
213. C11×#117C23semidirect
221. C2×C11×C4⋊C4C23semidirect
236. #66992C23semidirect
237. #66992C23semidirect
238. #66992C23semidirect
240. #66991C23semidirect
242. #66990C23semidirect
243. #66989C23semidirect
244. D4×Dic11C23semidirect
245. D4×Dic11C23semidirect
246. D4×Dic11C23semidirect
247. #66983C23semidirect
248. #66983C23semidirect
249. #66983C23semidirect
251. C4×C22⋊D11C23semidirect
252. C4×C22⋊D11C23semidirect
253. C4×C22⋊D11C23semidirect
271. C2×(C2×D11)⋊C4C23semidirect
272. #66979C23semidirect
281. C2×C4⋊Dic11C23semidirect
282. #66977C23semidirect
296. #66951C23semidirect
297. #66951C23semidirect
298. #66951C23semidirect
299. #66950C23semidirect
300. #66950C23semidirect
301. #66950C23semidirect
302. #66950C23semidirect
303. #66950C23semidirect
304. #66950C23semidirect
305. #66950C23semidirect
306. #66949C23semidirect
308. #66948C23semidirect
310. #66947C23semidirect
311. #66947C23semidirect
313. #66946C23semidirect
314. #66946C23semidirect
315. #66945C23semidirect
316. #66945C23semidirect
317. #66945C23semidirect
318. C4⋊C4×D11C23semidirect
319. C4⋊C4×D11C23semidirect
320. #66943C23semidirect
321. #66943C23semidirect
322. #66940C23semidirect
323. #66939C23semidirect
324. #66939C23semidirect
325. #66938C23semidirect
326. #66938C23semidirect
329. #66936C23semidirect
330. #66936C23semidirect
331. #66936C23semidirect
333. #66935C23semidirect
335. (C22⋊D11)⋊C4C23semidirect
336. (C22⋊D11)⋊C4C23semidirect
337. (C22⋊D11)⋊C4C23semidirect
339. C22⋊C4×D11C23semidirect
340. C22⋊C4×D11C23semidirect
341. C22⋊C4×D11C23semidirect
342. #66932C23semidirect
343. #66932C23semidirect
344. #66931C23semidirect
345. #66928C23semidirect
347. C4×D44C23semidirect
348. C4×D44C23semidirect
349. #66925C23semidirect
350. C42×D11C23semidirect
351. #66923C23semidirect
352. C4×Dic22C23semidirect
365. C23×D11#41semidirect
535. C2×#553D11semidirect
591. C22×D11C2×#41semidirect
677. #553C2×D11semidirect
696. C2×#126C2×D11semidirect
700. C2×#125C2×D11semidirect
716. C2×#123C2×D11semidirect
740. C2×#121C2×D11semidirect
741. C2×#121C2×D11semidirect
742. C2×#121C2×D11semidirect
768. C2×C4×D4C2×D11semidirect
769. C2×C4×D4C2×D11semidirect
770. C2×C4×D4C2×D11semidirect
776. C2×#117C2×D11semidirect
780. C22×C4⋊C4C2×D11semidirect
901. #126C22×D11semidirect
905. #125C22×D11semidirect
919. #123C22×D11semidirect
941. #121C22×D11semidirect
942. #121C22×D11semidirect
943. #121C22×D11semidirect
967. C4×D4C22×D11semidirect
968. C4×D4C22×D11semidirect
969. C4×D4C22×D11semidirect
975. #117C22×D11semidirect
1001. C2×C4⋊C4C22×D11semidirect
1048. C2×C11#3505semidirect
1233. C11C2×#3505semidirect
1403. C2#13082445direct (N × H)

Maximal subgroups

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

subgroupindex
#130824452
C2×#106231492
C2×#106230452
C2×#106230962
C2×#106230602
C2×#106232252
C2×#106232362
C2×#106231892
C2×#106230832
C2×#106231292
C2×#106231432
C2×#106230852
C2×#106232382
C2×#106231882
C2×#106231362
C2×#106232222
C2×#106230882
C2×#106230552
C2×#106231372
C22×#669502
C2×D11×#1212
C2×#106230762
C2×C4×D4×D112
C2×C11×#5532
C2×#350511