Finite Group Databasebeta

← C2×#13082222 #15660855

Subgroups — C2×#13082222 #15660855

Order 2816.

8722 conjugacy classes of subgroups.

The subgroup lattice has 1380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082222C2132yesmaximal, direct product factor
2C2×#10623212C211yesmaximal, characteristic, complemented
3C2×#10623166C211yesmaximal, characteristic, complemented
4C2×#10623221C211yesmaximal, characteristic, complemented
5C2×#10623226C211yesmaximal, characteristic, complemented
6C2×#10623149C211yesmaximal, characteristic, complemented
7C2×#10623240C212yesmaximal, complemented
8C2×#10623236C212yesmaximal, complemented
9C2×#10623189C212yesmaximal, complemented
10C2×#10623207C211yesmaximal, characteristic, complemented
11C2×#10623185C212yesmaximal, complemented
12C2×#10623161C211yesmaximal, characteristic, complemented
13C2×#10623140C211yesmaximal, characteristic, complemented
14C2×#10623079C211yesmaximal, characteristic, complemented
15C2×#10623111C211yesmaximal, characteristic, complemented
16C2×#10623059C212yesmaximal, complemented
17C2×#10623055C212yesmaximal, complemented
18C2×#10623078C212yesmaximal, complemented
19C2×C4×#4343C211yesmaximal, characteristic, complemented
20C2×C4×#4339C211yesmaximal, characteristic, complemented
21C22×C4×D44C211yesmaximal, characteristic, complemented
22C2×C4×D4×D11C211yesmaximal, characteristic, complemented
23C2×C4×D4×D11C212yesmaximal, complemented
24C2×C11×#529C211yesmaximal, characteristic, complemented
25C22×#4343C2211yescharacteristic
26C22×D4×D11C2212yes—
27C22×D4×D11C2211yescharacteristic
28C22×#4339C2211yescharacteristic
29C22×#4339C2212yescomplemented
30C23×D44C2211yescharacteristic
31C23×C4×D11C2212yescomplemented
32C23×C4×D11C2212yescomplemented
33C11×#529C22116yescomplemented
34C2×C11×#126C2212yescomplemented
35C2×C11×#125C2211yescharacteristic, complemented
36C2×C11×#124C2211yescharacteristic, complemented
37C2×C11×#123C2212yescomplemented
38C2×C11×C22⋊Q8C2211yescharacteristic, complemented
39C2×C11×#121C2211yescharacteristic
40C2×C4×Q8×C11C2211yescharacteristic, complemented
41C2×C4×D4×C11C2212yescomplemented
42C2×C4×D4×C11C2211yescharacteristic, complemented
43C2×C11×#117C2212yescomplemented
44C22×C42×C11C2211yescharacteristic, complemented
45C2×#67000C2211yescharacteristic, complemented
46C2×#66999C2211yescharacteristic, complemented
47C2×Q8×Dic11C2211yescharacteristic, complemented
48C2×#66993C2211yescharacteristic
49C2×#66992C2212yescomplemented
50C2×#66991C2211yescharacteristic, complemented
51C2×#66990C2212yes—
52C2×D4×Dic11C2211yescharacteristic, complemented
53C2×D4×Dic11C2212yescomplemented
54C2×C4×C22⋊D11C2211yescharacteristic
55C2×C4×C22⋊D11C2211yescharacteristic
56C2×C4×C22⋊D11C2211yescharacteristic, complemented
57C2×C4×C22⋊D11C2212yescomplemented
58C2×C4×C22⋊D11C2212yescomplemented
59C2×C4×C22⋊D11C2211yescharacteristic, complemented
60C22×(C2×D11)⋊C4C2212yescomplemented
61C2×#66979C2211yescharacteristic, complemented
62C22×C4⋊Dic11C2211yescharacteristic, complemented
63#10623240C22132yescomplemented
64#10623236C22132yescomplemented
65#10623226C22116yescomplemented
66#10623221C22116yescomplemented
67#10623212C22116yescomplemented
68#10623207C22116yescomplemented
69#10623189C22132yescomplemented
70#10623185C22132yescomplemented
71#10623166C22116yescomplemented
72#10623161C22116yescomplemented
73#10623149C22116yescomplemented
74#10623140C22116yescomplemented
75#10623111C22116yescomplemented
76C4×#4343C22116yescomplemented
77#10623079C22116yescomplemented
78#10623078C22132yescomplemented
79C4×D4×D11C22116yescomplemented
80C4×D4×D11C22132yescomplemented
81#10623059C22132yescomplemented
82#10623055C22132yescomplemented
83C2×#66951C2212yescomplemented
84C2×#66951C2212yescomplemented
85C2×#66950C2212yescomplemented
86C2×#66950C2212yescomplemented
87C2×#66949C2212yescomplemented
88C2×#66949C2212yescomplemented
89C2×#66948C2211yescharacteristic
90C2×#66948C2212yescomplemented
91C2×#66948C2212yescomplemented
92C2×#66948C2211yescharacteristic, complemented
93C2×#66947C2212yescomplemented
94C2×#66947C2212yescomplemented
95C2×#66947C2212yescomplemented
96C2×#66946C2211yescharacteristic
97C2×#66946C2211yescharacteristic
98C2×#66946C2212yescomplemented
99C2×#66946C2212yescomplemented
100C2×#66945C2212yescomplemented
101C2×#66945C2211yescharacteristic, complemented
102C2×C4⋊C4×D11C2212yescomplemented
103C2×C4⋊C4×D11C2211yescharacteristic, complemented
104C2×#66943C2211yescharacteristic, complemented
105C2×#66942C2212yescomplemented
106C2×#66941C2211yescharacteristic, complemented
107C2×#66939C2212yescomplemented
108C2×#66939C2212yescomplemented
109C2×#66938C2212yescomplemented
110C2×#66938C2212yescomplemented
111C2×#66937C2212yes—
112C2×#66937C2212yescomplemented
113C2×#66937C2212yescomplemented
114C2×#66936C2212yescomplemented
115C2×#66936C2212yescomplemented
116C2×#66935C2212yes—
117C2×#66935C2212yescomplemented
118C2×#66935C2212yescomplemented
119C2×(C22⋊D11)⋊C4C2212yes—
120C2×(C22⋊D11)⋊C4C2212yescomplemented
121C2×(C22⋊D11)⋊C4C2212yescomplemented
122C2×C22⋊C4×D11C2212yescomplemented
123C2×C22⋊C4×D11C2212yescomplemented
124C2×C22⋊C4×D11C2212yescomplemented
125C2×#66932C2212yescomplemented
126C2×#66931C2212yescomplemented
127C4×#4339C22116yescomplemented
128C2×C4×D44C2211yescharacteristic
129C2×C4×D44C2211yescharacteristic
130C2×C4×D44C22116yescomplemented
131C2×C4×D44C2212yescomplemented
132C2×C4×D44C2212yescomplemented
133C2×C4×D44C2211yescharacteristic, complemented
134C2×C4×D44C2212yescomplemented
135C2×C4×D44C2212yescomplemented
136C2×C4×D44C2211yescharacteristic, complemented
137C2×C4×D44C2211yescharacteristic, complemented
138C2×C4×D44C2211yescharacteristic, complemented
139C2×#66925C2212yescomplemented
140C2×#66925C2211yescharacteristic, complemented
141C2×#66925C2211yescharacteristic, complemented
142C2×C42×D11C2212yescomplemented
143C2×C42×D11C2211yescharacteristic, complemented
144C2×C42×D11C2211yescharacteristic, complemented
145C2×C4×Dic22C2211yescharacteristic, complemented
146C2×C4×Dic22C2211yescharacteristic, complemented
147C24×D11C2312yes—
148C24×D11C2312yes—
149C22×Q8×C11C2311yescharacteristic
150C22×D4×C11C2312yes—
151C22×D4×C11C2311yescharacteristic
152C23×C4×C11C2311yescharacteristic
153C23×C4×C11C2311yescharacteristic
154C23×C4×C11C2311yescharacteristic
155C23×C4×C11C2312yes—
156C22×C22⋊D11C2312yes—
157C22×C22⋊D11C2312yes—
158C22×C22⋊D11C2311yescharacteristic
159C22×C22⋊D11C2312yes—
160C22×C22⋊D11C2312yes—
161C22×C22⋊D11C2311yescharacteristic
162C23×Dic11C2312yes—
163C23×Dic11C2312yes—
164C2×#4343—28no—
165C2×#4343C2318yes—
166C2×D4×D11—216no—
167C2×D4×D11—28no—
168C2×D4×D11C23116yes—
169C2×D4×D11C2318yes—
170C2×#4339—28no—
171C2×#4339—48no—
172C2×#4339C2318yes—
173C2×#4339C23116yescomplemented
174C22×D44—28no—
175C22×D44C2312yes—
176C22×D44C2311yescharacteristic
177C22×D44C2311yescharacteristic
178C22×D44C2318yes—
179C22×D44C2312yes—
180C22×D44C2312yes—
181C22×D44C2312yes—
182C22×D44C2311yescharacteristic
183C22×C4×D11—48no—
184C22×C4×D11—48no—
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×D11C2312yes—
194C22×C4×D11C2312yes—
195C22×C4×D11C2312yes—
196C22×C4×D11C2312yes—
197C22×C4×D11C2312yes—
198C22×C4×D11C2312yes—
199C22×C4×D11C23116yescomplemented
200C22×C4×D11C23116yescomplemented
201C22×Dic22C2311yescharacteristic
202C22×Dic22C2312yes—
203C11×#126C23116yescomplemented
204C11×#125C2318yescomplemented
205C11×#124C2318yescomplemented
206C11×#123C23116yescomplemented
207C11×C22⋊Q8C2318yescomplemented
208C11×#121C2318yes—
209C4×Q8×C11C2318yescomplemented
210C4×D4×C11C23116yescomplemented
211C4×D4×C11C2318yescomplemented
212C11×#117C23116yescomplemented
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2312yes—
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2312yes—
217C2×C11×C4⋊C4C2312yes—
218C2×C11×C4⋊C4C2312yes—
219C2×C11×C22⋊C4C2312yes—
220C2×C11×C22⋊C4C2312yes—
221C2×C11×C22⋊C4C2312yes—
222C2×C11×C22⋊C4C2312yes—
223C2×C11×C22⋊C4C2312yes—
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2312yes—
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2318yescomplemented
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2312yes—
232C2×C22⋊Dic11C2312yes—
233C2×C22⋊Dic11C2311yescharacteristic
234#67000C2318yescomplemented
235#66999C2318yescomplemented
236Q8×Dic11C2318yescomplemented
237#66993C2318yes—
238#66992C23116yescomplemented
239#66991C2318yescomplemented
240#66990C23116yes—
241D4×Dic11C23116yescomplemented
242D4×Dic11C2318yescomplemented
243C4×C22⋊D11C2318yes—
244C4×C22⋊D11C2318yes—
245C4×C22⋊D11C2318yescomplemented
246C4×C22⋊D11C2318yescomplemented
247C4×C22⋊D11C23116yescomplemented
248C4×C22⋊D11C23116yescomplemented
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2312yes—
254C2×(C2×D11)⋊C4C2312yes—
255C2×(C2×D11)⋊C4C2312yes—
256C2×(C2×D11)⋊C4C2312yes—
257C2×(C2×D11)⋊C4C2312yes—
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)⋊C4C23116yescomplemented
266#66979C2318yescomplemented
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2312yes—
272C2×C4⋊Dic11C2312yes—
273C2×C4⋊Dic11C2312yes—
274C2×C4⋊Dic11C2318yescomplemented
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2312yes—
280C2×Dic11⋊C4C2312yes—
281C2×Dic11⋊C4C2312yes—
282C2×Dic11⋊C4C2312yes—
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2312yes—
290C2×C4×Dic11C2312yes—
291#66951C23116yescomplemented
292#66951C23116yescomplemented
293#66950C23116yescomplemented
294#66950C23116yescomplemented
295#66949C23116yescomplemented
296#66949C23116yescomplemented
297#66948C2318yes—
298#66948C23116yescomplemented
299#66948C23116yescomplemented
300#66948C2318yescomplemented
301#66947C23116yescomplemented
302#66947C23116yescomplemented
303#66947C23116yescomplemented
304#66946C2318yes—
305#66946C2318yes—
306#66946C23116yescomplemented
307#66946C23116yescomplemented
308#66945C23116yescomplemented
309#66945C2318yescomplemented
310C4⋊C4×D11C23116yescomplemented
311C4⋊C4×D11C2318yescomplemented
312#66943C2318yescomplemented
313#66942C23116yescomplemented
314#66941C2318yescomplemented
315#66939C23116yescomplemented
316#66939C23116yescomplemented
317#66938C23116yescomplemented
318#66938C23116yescomplemented
319#66937C23116yes—
320#66937C23116yescomplemented
321#66937C23116yescomplemented
322#66936C23116yescomplemented
323#66936C23116yescomplemented
324#66935C23116yes—
325#66935C23116yescomplemented
326#66935C23116yescomplemented
327(C22⋊D11)⋊C4C23116yes—
328(C22⋊D11)⋊C4C23116yescomplemented
329(C22⋊D11)⋊C4C23116yescomplemented
330C22⋊C4×D11C23116yescomplemented
331C22⋊C4×D11C23116yescomplemented
332C22⋊C4×D11C23116yescomplemented
333#66932C23116yescomplemented
334#66931C23116yescomplemented
335C4×D44C2318yes—
336C4×D44C2318yes—
337C4×D44C23116yescomplemented
338C4×D44C23116yescomplemented
339C4×D44C2318yescomplemented
340C4×D44C2318yescomplemented
341C4×D44C2318yescomplemented
342C4×D44C2318yescomplemented
343C4×D44C23116yescomplemented
344C4×D44C23116yescomplemented
345#66925C2318yescomplemented
346#66925C2318yescomplemented
347#66925C23116yescomplemented
348C42×D11C2318yescomplemented
349C42×D11C2318yescomplemented
350C42×D11C23116yescomplemented
351C4×Dic22C2318yescomplemented
352C4×Dic22C2318yescomplemented
353C2×#3481—111nomaximal, Sylow
354C24×C11C2412yes—
355C24×C11C2411yescharacteristic
356C23×D11—28no—
357C23×D11—28no—
358C23×D11—28no—
359C23×D11—28no—
360C23×D11—44no—
361C23×D11—44no—
362C23×D11C2412yes—
363C23×D11C2411yescharacteristic
364C23×D11C2418yes—
365C23×D11C2418yes—
366C23×D11C2411yescharacteristic
367C23×D11C2412yes—
368C2×Q8×C11—24no—
369C2×Q8×C11C2414yes—
370C2×D4×C11—28no—
371C2×D4×C11—24no—
372C2×D4×C11C2418yes—
373C2×D4×C11C2414yes—
374C22×C4×C11—24no—
375C22×C4×C11—24no—
376C22×C4×C11—24no—
377C22×C4×C11—28no—
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2412yes—
380C22×C4×C11C2412yes—
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2412yes—
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2414yes—
386C22×C4×C11C2414yes—
387C22×C4×C11C2414yes—
388C22×C4×C11C2418yes—
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C2×C22⋊D11—28no—
392C2×C22⋊D11—24no—
393C2×C22⋊D11—28no—
394C2×C22⋊D11—44no—
395C2×C22⋊D11—44no—
396C2×C22⋊D11#4118yescomplemented
397C2×C22⋊D11C2418yes—
398C2×C22⋊D11C2418yes—
399C2×C22⋊D11C2414yes—
400C2×C22⋊D11C2418yes—
401C2×C22⋊D11C2418yes—
402C2×C22⋊D11C2414yes—
403C22×Dic11—44no—
404C22×Dic11—44no—
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2412yes—
411C22×Dic11C2412yes—
412C22×Dic11C2418yes—
413C22×Dic11C2418yes—
414C22×Dic11C2411yescharacteristic
415#4343—232no—
416D4×D11—264no—
417D4×D11—232no—
418#4339—232no—
419#4339—432no—
420C2×D44—232no—
421C2×D44—28no—
422C2×D44—24no—
423C2×D44—28no—
424C2×D44—28no—
425C2×D44—24no—
426C2×D44—44no—
427C2×D44#4118yescomplemented
428C2×D44C2418yes—
429C2×D44C2414yes—
430C2×D44C2414yes—
431C2×D44C2418yes—
432C2×D44C2418yes—
433C2×D44C2418yes—
434C2×D44C2414yes—
435C2×C4×D11—24no—
436C2×C4×D11—28no—
437C2×C4×D11—24no—
438C2×C4×D11—28no—
439C2×C4×D11—24no—
440C2×C4×D11—24no—
441C2×C4×D11—28no—
442C2×C4×D11—24no—
443C2×C4×D11—28no—
444C2×C4×D11—24no—
445C2×C4×D11—44no—
446C2×C4×D11—44no—
447C2×C4×D11—44no—
448C2×C4×D11—44no—
449C2×C4×D11—432no—
450C2×C4×D11—432no—
451C2×C4×D11C2414yes—
452C2×C4×D11C2414yes—
453C2×C4×D11C2418yes—
454C2×C4×D11C2414yes—
455C2×C4×D11C2414yes—
456C2×C4×D11C2414yes—
457C2×C4×D11C2414yes—
458C2×C4×D11C2418yes—
459C2×C4×D11C2418yes—
460C2×C4×D11C2418yes—
461C2×C4×D11C2418yes—
462C2×C4×D11C2418yes—
463C2×C4×D11C2418yes—
464C2×C4×D11C2418yes—
465C2×Dic22—24no—
466C2×Dic22—44no—
467C2×Dic22C2414yes—
468C2×Dic22C2418yes—
469C11×C4⋊C4C2414yes—
470C11×C4⋊C4C2418yes—
471C11×C4⋊C4C2414yes—
472C11×C4⋊C4C2418yes—
473C11×C4⋊C4C2418yes—
474C11×C4⋊C4C2418yes—
475C11×C22⋊C4C2418yes—
476C11×C22⋊C4C2418yes—
477C11×C22⋊C4C2418yes—
478C11×C22⋊C4C2418yes—
479C11×C22⋊C4C2418yes—
480C42×C11C2414yes—
481C42×C11C2414yes—
482C42×C11C2414yes—
483C42×C11C2418yes—
484C42×C11C2414yes—
485C22⋊Dic11C2414yes—
486C22⋊Dic11C2418yes—
487C22⋊Dic11C2418yes—
488C22⋊Dic11C2414yes—
489(C2×D11)⋊C4C2414yes—
490(C2×D11)⋊C4C2414yes—
491(C2×D11)⋊C4C2414yes—
492(C2×D11)⋊C4C2414yes—
493(C2×D11)⋊C4C2418yes—
494(C2×D11)⋊C4C2418yes—
495(C2×D11)⋊C4C2418yes—
496(C2×D11)⋊C4C2418yes—
497(C2×D11)⋊C4C2418yes—
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—
505C4⋊Dic11C2414yes—
506C4⋊Dic11C2414yes—
507C4⋊Dic11C2414yes—
508C4⋊Dic11C2414yes—
509C4⋊Dic11C2418yes—
510C4⋊Dic11C2418yes—
511C4⋊Dic11C2418yes—
512Dic11⋊C4C2414yes—
513Dic11⋊C4C2414yes—
514Dic11⋊C4C2414yes—
515Dic11⋊C4C2414yes—
516Dic11⋊C4C2418yes—
517Dic11⋊C4C2418yes—
518Dic11⋊C4C2418yes—
519Dic11⋊C4C2418yes—
520C4×Dic11C2414yes—
521C4×Dic11C2414yes—
522C4×Dic11C2414yes—
523C4×Dic11C2414yes—
524C4×Dic11C2414yes—
525C4×Dic11C2414yes—
526C4×Dic11C2418yes—
527C4×Dic11C2418yes—
528#3481—1132no—
529C2×#559—111no—
530C2×#554—111no—
531C2×#554—111no—
532C2×#553—112no—
533C2×#553—111no—
534C2×#553—111no—
535C2×#551—112no—
536C2×#551—112no—
537C2×#546—111no—
538C2×#546—112no—
539C2×#546—111no—
540C2×D42—111no—
541C2×#532—111no—
542C2×#529—111no—
543C2×#529—112no—
544C2×#529D1111yescharacteristic, complemented
545C2×#525—112no—
546C2×#525—112no—
547C2×C4×#41—111no—
548C2×C4×#41—111no—
549C22×C4×D4—111no—
550C22×C4×D4—112no—
551C22×C4×D4—111no—
552C23×C11—22no—
553C23×C11—22no—
554C23×C11—24no—
555C23×C11—24no—
556C23×C11—24no—
557C23×C11C2×#4114yes—
558C23×C11C2514yes—
559C23×C11C2512yes—
560C23×C11C2511yescharacteristic
561C22×D11—24no—
562C22×D11—22no—
563C22×D11—22no—
564C22×D11—24no—
565C22×D11—22no—
566C22×D11—22no—
567C22×D11—24no—
568C22×D11—24no—
569C22×D11—216no—
570C22×D11—24no—
571C22×D11—22no—
572C22×D11—216no—
573C22×D11—216no—
574C22×D11—216no—
575C22×D11—48no—
576C22×D11—48no—
577C22×D11—432no—
578C22×D11—432no—
579C22×D11C2×#4114yes—
580C22×D11C2×#4118yes—
581C22×D11C2514yes—
582C22×D11C2512yes—
583C22×D11C2512yes—
584C22×D11C2514yes—
585Q8×C11—28no—
586D4×C11—216no—
587D4×C11—28no—
588C2×C4×C11—22no—
589C2×C4×C11—22no—
590C2×C4×C11—24no—
591C2×C4×C11—24no—
592C2×C4×C11—22no—
593C2×C4×C11—28no—
594C2×C4×C11—24no—
595C2×C4×C11—22no—
596C2×C4×C11—28no—
597C2×C4×C11—28no—
598C2×C4×C11—216no—
599C2×C4×C11C2×#4114yes—
600C2×C4×C11H(5,𝔽2)14yes—
601C2×C4×C11C2512yes—
602C2×C4×C11C2514yes—
603C2×C4×C11C2514yes—
604C2×C4×C11C2512yes—
605C2×C4×C11C2512yes—
606C2×C4×C11C2514yes—
607C2×C4×C11C2512yes—
608C2×C4×C11C2512yes—
609C2×C4×C11C2512yes—
610C22⋊D11—28no—
611C22⋊D11—216no—
612C22⋊D11—216no—
613C22⋊D11—48no—
614C22⋊D11—48no—
615C22⋊D11C2×#41116yescomplemented
616C2×Dic11—22no—
617C2×Dic11—22no—
618C2×Dic11—22no—
619C2×Dic11—22no—
620C2×Dic11—24no—
621C2×Dic11—24no—
622C2×Dic11—22no—
623C2×Dic11—48no—
624C2×Dic11—48no—
625C2×Dic11C2×#4114yes—
626C2×Dic11C2512yes—
627C2×Dic11C2512yes—
628C2×Dic11C2512yes—
629C2×Dic11C2512yes—
630C2×Dic11C2512yes—
631C2×Dic11C2514yes—
632C2×Dic11C2514yes—
633C2×Dic11C2512yes—
634D44—216no—
635D44—28no—
636D44—216no—
637D44—216no—
638D44—28no—
639D44—48no—
640D44C2×#41116yescomplemented
641C4×D11—28no—
642C4×D11—216no—
643C4×D11—28no—
644C4×D11—28no—
645C4×D11—216no—
646C4×D11—28no—
647C4×D11—216no—
648C4×D11—28no—
649C4×D11—28no—
650C4×D11—216no—
651C4×D11—48no—
652C4×D11—48no—
653C4×D11—48no—
654C4×D11—48no—
655Dic22—28no—
656Dic22—48no—
657C22×#41—111no—
658C22×#41—111no—
659C22×#41—112no—
660C23×D4—112no—
661C23×D4—111no—
662C23×D4—111no—
663C24×C4—112no—
664C24×C4—112no—
665#559—1116no—
666#554—1116no—
667#554—1116no—
668#553—1132no—
669#553—1116no—
670#553—1116no—
671#551—1132no—
672#551—1132no—
673#546—1116no—
674#546—1132no—
675#546—1116no—
676D42—1116no—
677#532—1116no—
678C2×C4⋊Q8—111no—
679C2×#127—111no—
680#529—1116no—
681#529—1132no—
682#529C2×D11116yescomplemented
683C2×#126—112no—
684C2×#126—112no—
685C2×#126—112no—
686C2×#126C2×D1112yescomplemented
687C2×#125—112no—
688C2×#125—111no—
689C2×#125C2×D1111yescharacteristic, complemented
690C2×#124—111no—
691C2×#124—112no—
692C2×#124—112no—
693C2×#124C2×D1111yescharacteristic, complemented
694#525—1132no—
695#525—1132no—
696C2×#123—112no—
697C2×#123—112no—
698C2×#123—112no—
699C2×#123—112no—
700C2×#123—112no—
701C2×#123—112no—
702C2×#123—112no—
703C2×#123C2×D1112yescomplemented
704C2×C22⋊Q8—111no—
705C2×C22⋊Q8—112no—
706C2×C22⋊Q8—112no—
707C2×C22⋊Q8—112no—
708C2×C22⋊Q8—112no—
709C2×C22⋊Q8—112no—
710C2×C22⋊Q8C2×D1111yescharacteristic, complemented
711C2×#121—111no—
712C2×#121—112no—
713C2×#121—111no—
714C2×#121—112no—
715C2×#121—112no—
716C2×#121—111no—
717C2×#121—112no—
718C2×#121—112no—
719C2×#121—112no—
720C2×#121C2×D1111yescharacteristic
721C2×#120—112no—
722C2×#120—112no—
723C2×#120—112no—
724C2×#120—112no—
725C4×#41—1116no—
726C4×#41—1116no—
727C2×C4×Q8—111no—
728C2×C4×Q8—111no—
729C2×C4×Q8—111no—
730C2×C4×Q8C2×D1111yescharacteristic, complemented
731C2×C4×D4—112no—
732C2×C4×D4—111no—
733C2×C4×D4—111no—
734C2×C4×D4—111no—
735C2×C4×D4—112no—
736C2×C4×D4—112no—
737C2×C4×D4—111no—
738C2×C4×D4—111no—
739C2×C4×D4—1132no—
740C2×C4×D4—1116no—
741C2×C4×D4—111no—
742C2×C4×D4—111no—
743C2×C4×D4—112no—
744C2×C4×D4—112no—
745C2×C4×D4—112no—
746C2×C4×D4—112no—
747C2×C4×D4—112no—
748C2×C4×D4—111no—
749C2×C4×D4—111no—
750C2×C4×D4—112no—
751C2×C4×D4—112no—
752C2×C4×D4—111no—
753C2×C4×D4—112no—
754C2×C4×D4—111no—
755C2×C4×D4—112no—
756C2×C4×D4—111no—
757C2×C4×D4—111no—
758C2×C4×D4—1116no—
759C2×C4×D4C2×D1112yescomplemented
760C2×C4×D4C2×D1111yescharacteristic, complemented
761C2×#117—111no—
762C2×#117—112no—
763C2×#117—111no—
764C2×#117—111no—
765C2×#117—111no—
766C2×#117—112no—
767C2×#117C2×D1112yescomplemented
768C22×C4⋊C4—111no—
769C22×C4⋊C4—112no—
770C22×C4⋊C4—111no—
771C22×C22⋊C4—112no—
772C22×C22⋊C4—112no—
773C22×C22⋊C4—112no—
774C22×C22⋊C4—112no—
775C22×C42—111no—
776C22×C42—112no—
777C22×C42—111no—
778C22×C42C2×D1111yescharacteristic, complemented
779C22×C11—22no—
780C22×C11—22no—
781C22×C11—28no—
782C22×C11—24no—
783C22×C11—24no—
784C22×C11—24no—
785C22×C11—48no—
786C22×C11C22×#4114yes—
787C22×C11C22×#4112yes—
788C22×C11C22×#4112yes—
789C22×C11C2×H(5,𝔽2)12yes—
790C22×C11C2611yescharacteristic
791C2×D11—22no—
792C2×D11—24no—
793C2×D11—22no—
794C2×D11—24no—
795C2×D11—28no—
796C2×D11—216no—
797C2×D11—24no—
798C2×D11—24no—
799C2×D11—22no—
800C2×D11—22no—
801C2×D11—24no—
802C2×D11—22no—
803C2×D11—432no—
804C2×D11—432no—
805C2×D11—44no—
806C2×D11—48no—
807C2×D11C22×#4114yes—
808C2×D11C22×#4118yes—
809C4×C11—22no—
810C4×C11—22no—
811C4×C11—22no—
812C4×C11—24no—
813C4×C11—24no—
814C4×C11—24no—
815C4×C11—22no—
816C4×C11C22×#4114yes—
817C4×C11C2×H(5,𝔽2)14yes—
818Dic11—22no—
819Dic11—22no—
820Dic11—22no—
821Dic11—22no—
822Dic11—24no—
823Dic11—24no—
824Dic11—22no—
825Dic11C22×#4114yes—
826C25—112no—
827C25—112no—
828C2×#41—118no—
829C2×#41—118no—
830C2×#41—1116no—
831C2×#41—228no—
832C2×#41—228no—
833C2×#41—448no—
834C22×Q8—111no—
835C22×Q8—112no—
836C22×Q8C22×D1111yescharacteristic
837C22×D4—111no—
838C22×D4—111no—
839C22×D4—112no—
840C22×D4—112no—
841C22×D4—112no—
842C22×D4—112no—
843C22×D4—1116no—
844C22×D4—118no—
845C22×D4—111no—
846C22×D4—112no—
847C22×D4—111no—
848C22×D4—112no—
849C22×D4—112no—
850C22×D4—111no—
851C22×D4—118no—
852C22×D4—112no—
853C22×D4—228no—
854C22×D4—2216no—
855C22×D4—228no—
856C22×D4C22×D1112yes—
857C22×D4C22×D1111yescharacteristic
858C23×C4—112no—
859C23×C4—112no—
860C23×C4—112no—
861C23×C4—111no—
862C23×C4—112no—
863C23×C4—111no—
864C23×C4—111no—
865C23×C4—111no—
866C23×C4—112no—
867C23×C4—111no—
868C23×C4—112no—
869C23×C4—111no—
870C23×C4—112no—
871C23×C4—112no—
872C23×C4—112no—
873C23×C4—112no—
874C23×C4—1116no—
875C23×C4—1116no—
876C23×C4—448no—
877C23×C4—448no—
878C23×C4C22×D1111yescharacteristic
879C23×C4C22×D1111yescharacteristic
880C23×C4C22×D1112yes—
881C23×C4C22×D1111yescharacteristic
882C4⋊Q8—118no—
883#127—118no—
884#126—1116no—
885#126—1116no—
886#126—1116no—
887#126C22×D11116yescomplemented
888#125—1116no—
889#125—118no—
890#125C22×D1118yescomplemented
891#124—118no—
892#124—1116no—
893#124—1116no—
894#124C22×D1118yescomplemented
895#123—1116no—
896#123—1116no—
897#123—1116no—
898#123—1116no—
899#123—1116no—
900#123—1116no—
901#123—1116no—
902#123C22×D11116yescomplemented
903C22⋊Q8—118no—
904C22⋊Q8—1116no—
905C22⋊Q8—1116no—
906C22⋊Q8—1116no—
907C22⋊Q8—1116no—
908C22⋊Q8—1116no—
909C22⋊Q8C22×D1118yescomplemented
910#121—1116no—
911#121—118no—
912#121—1116no—
913#121—1116no—
914#121—118no—
915#121—118no—
916#121—1116no—
917#121—1116no—
918#121—1116no—
919#121C22×D1118yes—
920#120—1116no—
921#120—1116no—
922#120—1116no—
923#120—1116no—
924C4×Q8—118no—
925C4×Q8—118no—
926C4×Q8—118no—
927C4×Q8C22×D1118yescomplemented
928C4×D4—1116no—
929C4×D4—118no—
930C4×D4—118no—
931C4×D4—1116no—
932C4×D4—1116no—
933C4×D4—118no—
934C4×D4—118no—
935C4×D4—118no—
936C4×D4—118no—
937C4×D4—1116no—
938C4×D4—118no—
939C4×D4—1116no—
940C4×D4—1116no—
941C4×D4—1116no—
942C4×D4—1116no—
943C4×D4—118no—
944C4×D4—1116no—
945C4×D4—1116no—
946C4×D4—118no—
947C4×D4—118no—
948C4×D4—1116no—
949C4×D4—118no—
950C4×D4—1116no—
951C4×D4—118no—
952C4×D4—118no—
953C4×D4C22×D11116yescomplemented
954C4×D4C22×D1118yescomplemented
955#117—118no—
956#117—1116no—
957#117—118no—
958#117—118no—
959#117—118no—
960#117—1116no—
961#117C22×D11116yescomplemented
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—112no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—112no—
967C2×C4⋊C4—112no—
968C2×C4⋊C4—112no—
969C2×C4⋊C4—118no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—112no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—112no—
977C2×C4⋊C4—112no—
978C2×C4⋊C4—1116no—
979C2×C4⋊C4—118no—
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C4⋊C4C22×D1112yes—
982C2×C4⋊C4C22×D1111yescharacteristic
983C2×C4⋊C4C22×D1112yes—
984C2×C4⋊C4C22×D1112yes—
985C2×C4⋊C4C22×D1112yes—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—112no—
988C2×C22⋊C4—112no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—112no—
992C2×C22⋊C4—112no—
993C2×C22⋊C4—112no—
994C2×C22⋊C4—112no—
995C2×C22⋊C4—112no—
996C2×C22⋊C4—112no—
997C2×C22⋊C4—112no—
998C2×C22⋊C4—112no—
999C2×C22⋊C4—1116no—
1000C2×C22⋊C4—112no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—112no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—112no—
1006C2×C22⋊C4—112no—
1007C2×C22⋊C4—1116no—
1008C2×C22⋊C4—1116no—
1009C2×C22⋊C4—1116no—
1010C2×C22⋊C4C22×D1112yes—
1011C2×C22⋊C4C22×D1112yes—
1012C2×C22⋊C4C22×D1112yes—
1013C2×C22⋊C4C22×D1112yes—
1014C2×C22⋊C4C22×D1112yes—
1015C2×C42—111no—
1016C2×C42—112no—
1017C2×C42—111no—
1018C2×C42—112no—
1019C2×C42—111no—
1020C2×C42—111no—
1021C2×C42—111no—
1022C2×C42—111no—
1023C2×C42—1116no—
1024C2×C42—118no—
1025C2×C42—118no—
1026C2×C42C22×D1111yescharacteristic
1027C2×C42C22×D1111yescharacteristic
1028C2×C42C22×D1112yes—
1029C2×C42C22×D1111yescharacteristic
1030C2×C42C22×D1111yescharacteristic
1031C2×C42C22×D1118yescomplemented
1032C2×C11—24no—
1033C2×C11—44no—
1034C2×C11#348114yescomplemented
1035C2×C11C23×#4111yescharacteristic
1036C2×C11C23×#4111yescharacteristic
1037C2×C11C22×H(5,𝔽2)11yescharacteristic
1038D11—24no—
1039D11—28no—
1040D11—42no—
1041D11—44no—
1042C24—111no—
1043C24—112no—
1044C24—112no—
1045C24—111no—
1046C24—118no—
1047C24—118no—
1048C24—228no—
1049C24—228no—
1050C24—228no—
1051C24—228no—
1052C24—444no—
1053C24—444no—
1054C24C23×D1112yes—
1055C24C23×D1111yescharacteristic
1056#41—2232no—
1057#41—2232no—
1058#41—4432no—
1059C2×Q8—24no—
1060C2×Q8—114no—
1061C2×Q8—118no—
1062C2×Q8—224no—
1063C2×Q8—444no—
1064C2×Q8C23×D1114yes—
1065C2×D4—28no—
1066C2×D4—24no—
1067C2×D4—118no—
1068C2×D4—114no—
1069C2×D4—114no—
1070C2×D4—118no—
1071C2×D4—118no—
1072C2×D4—118no—
1073C2×D4—118no—
1074C2×D4—118no—
1075C2×D4—114no—
1076C2×D4—118no—
1077C2×D4—114no—
1078C2×D4—118no—
1079C2×D4—118no—
1080C2×D4—114no—
1081C2×D4—118no—
1082C2×D4—2232no—
1083C2×D4—228no—
1084C2×D4—228no—
1085C2×D4—224no—
1086C2×D4—228no—
1087C2×D4—228no—
1088C2×D4—2264no—
1089C2×D4—2232no—
1090C2×D4—228no—
1091C2×D4—224no—
1092C2×D4—224no—
1093C2×D4—444no—
1094C2×D4—444no—
1095C2×D4—444no—
1096C2×D4C23×D1118yes—
1097C2×D4C23×D1114yes—
1098C22×C4—24no—
1099C22×C4—24no—
1100C22×C4—24no—
1101C22×C4—28no—
1102C22×C4—111no—
1103C22×C4—111no—
1104C22×C4—111no—
1105C22×C4—111no—
1106C22×C4—111no—
1107C22×C4—112no—
1108C22×C4—111no—
1109C22×C4—112no—
1110C22×C4—118no—
1111C22×C4—118no—
1112C22×C4—118no—
1113C22×C4—114no—
1114C22×C4—118no—
1115C22×C4—114no—
1116C22×C4—114no—
1117C22×C4—114no—
1118C22×C4—114no—
1119C22×C4—118no—
1120C22×C4—114no—
1121C22×C4—118no—
1122C22×C4—118no—
1123C22×C4—118no—
1124C22×C4—118no—
1125C22×C4—118no—
1126C22×C4—228no—
1127C22×C4—224no—
1128C22×C4—224no—
1129C22×C4—228no—
1130C22×C4—224no—
1131C22×C4—224no—
1132C22×C4—224no—
1133C22×C4—228no—
1134C22×C4—228no—
1135C22×C4—224no—
1136C22×C4—4432no—
1137C22×C4—4432no—
1138C22×C4—444no—
1139C22×C4—444no—
1140C22×C4—444no—
1141C22×C4—444no—
1142C22×C4—444no—
1143C22×C4—444no—
1144C22×C4C23×D1111yescharacteristic
1145C22×C4C23×D1112yes—
1146C22×C4C23×D1112yes—
1147C22×C4C23×D1111yescharacteristic
1148C22×C4C23×D1111yescharacteristic
1149C22×C4C23×D1111yescharacteristic
1150C22×C4C23×D1114yes—
1151C22×C4C23×D1114yes—
1152C22×C4C23×D1114yes—
1153C22×C4C23×D1112yes—
1154C22×C4C23×D1118yes—
1155C22×C4C23×D1111yescharacteristic
1156C22×C4C23×D1111yescharacteristic
1157C4⋊C4—114no—
1158C4⋊C4—114no—
1159C4⋊C4—118no—
1160C4⋊C4—114no—
1161C4⋊C4—118no—
1162C4⋊C4—118no—
1163C4⋊C4—118no—
1164C4⋊C4—114no—
1165C4⋊C4—114no—
1166C4⋊C4—118no—
1167C4⋊C4—114no—
1168C4⋊C4—114no—
1169C4⋊C4—114no—
1170C4⋊C4—118no—
1171C4⋊C4—118no—
1172C4⋊C4C23×D1114yes—
1173C4⋊C4C23×D1118yes—
1174C4⋊C4C23×D1114yes—
1175C4⋊C4C23×D1118yes—
1176C4⋊C4C23×D1118yes—
1177C4⋊C4C23×D1118yes—
1178C22⋊C4—114no—
1179C22⋊C4—118no—
1180C22⋊C4—118no—
1181C22⋊C4—114no—
1182C22⋊C4—114no—
1183C22⋊C4—118no—
1184C22⋊C4—118no—
1185C22⋊C4—118no—
1186C22⋊C4—118no—
1187C22⋊C4—118no—
1188C22⋊C4—118no—
1189C22⋊C4—118no—
1190C22⋊C4—118no—
1191C22⋊C4—118no—
1192C22⋊C4—114no—
1193C22⋊C4—114no—
1194C22⋊C4—118no—
1195C22⋊C4—114no—
1196C22⋊C4—118no—
1197C22⋊C4—118no—
1198C22⋊C4C23×D1118yes—
1199C22⋊C4C23×D1118yes—
1200C22⋊C4C23×D1118yes—
1201C22⋊C4C23×D1118yes—
1202C22⋊C4C23×D1118yes—
1203C42—114no—
1204C42—114no—
1205C42—114no—
1206C42—118no—
1207C42—114no—
1208C42—118no—
1209C42—114no—
1210C42—114no—
1211C42C23×D1114yes—
1212C42C23×D1118yes—
1213C42C23×D1114yes—
1214C42C23×D1114yes—
1215C42C23×D1114yes—
1216C11C2×#348111yescharacteristic, complemented, Sylow
1217C23—22no—
1218C23—22no—
1219C23—24no—
1220C23—24no—
1221C23—24no—
1222C23—114no—
1223C23—118no—
1224C23—112no—
1225C23—114no—
1226C23—114no—
1227C23—112no—
1228C23—2216no—
1229C23—2216no—
1230C23—2216no—
1231C23—224no—
1232C23—222no—
1233C23—224no—
1234C23—222no—
1235C23—222no—
1236C23—222no—
1237C23—2216no—
1238C23—224no—
1239C23—224no—
1240C23—224no—
1241C23—222no—
1242C23—448no—
1243C23—448no—
1244C23—4432no—
1245C23—4432no—
1246C23#41×D1114yes—
1247C23C24×D1114yes—
1248C23C24×D1112yes—
1249C23C24×D1111yescharacteristic
1250Q8—28no—
1251Q8—228no—
1252Q8—448no—
1253D4—216no—
1254D4—28no—
1255D4—1116no—
1256D4—1116no—
1257D4—2216no—
1258D4—2216no—
1259D4—228no—
1260D4—2216no—
1261D4—2216no—
1262D4—2216no—
1263D4—228no—
1264D4—228no—
1265D4—448no—
1266D4—448no—
1267D4—448no—
1268C2×C4—22no—
1269C2×C4—22no—
1270C2×C4—22no—
1271C2×C4—28no—
1272C2×C4—24no—
1273C2×C4—24no—
1274C2×C4—22no—
1275C2×C4—24no—
1276C2×C4—28no—
1277C2×C4—28no—
1278C2×C4—216no—
1279C2×C4—114no—
1280C2×C4—112no—
1281C2×C4—112no—
1282C2×C4—112no—
1283C2×C4—112no—
1284C2×C4—112no—
1285C2×C4—114no—
1286C2×C4—112no—
1287C2×C4—114no—
1288C2×C4—2216no—
1289C2×C4—228no—
1290C2×C4—228no—
1291C2×C4—2216no—
1292C2×C4—222no—
1293C2×C4—222no—
1294C2×C4—222no—
1295C2×C4—222no—
1296C2×C4—224no—
1297C2×C4—224no—
1298C2×C4—222no—
1299C2×C4—228no—
1300C2×C4—228no—
1301C2×C4—228no—
1302C2×C4—2216no—
1303C2×C4—2216no—
1304C2×C4—228no—
1305C2×C4—448no—
1306C2×C4—448no—
1307C2×C4—448no—
1308C2×C4—448no—
1309C2×C4—448no—
1310C2×C4—448no—
1311C2×C4#41×D1114yes—
1312C2×C4#6704214yes—
1313C2×C4C24×D1112yes—
1314C2×C4C24×D1114yes—
1315C2×C4C24×D1114yes—
1316C2×C4C24×D1112yes—
1317C2×C4C24×D1112yes—
1318C2×C4C24×D1112yes—
1319C2×C4C24×D1114yes—
1320C2×C4C24×D1112yes—
1321C2×C4C24×D1112yes—
1322C22—22no—
1323C22—22no—
1324C22—28no—
1325C22—24no—
1326C22—24no—
1327C22—24no—
1328C22—48no—
1329C22—114no—
1330C22—118no—
1331C22—224no—
1332C22—222no—
1333C22—224no—
1334C22—222no—
1335C22—2216no—
1336C22—228no—
1337C22—222no—
1338C22—222no—
1339C22—224no—
1340C22—224no—
1341C22—224no—
1342C22—222no—
1343C22—4432no—
1344C22—4432no—
1345C22—448no—
1346C22—444no—
1347C22C2×#41×D1114yes—
1348C22C2×#41×D1112yes—
1349C22C2×#41×D1112yes—
1350C22C2×#6704212yes—
1351C22C25×D1111yescharacteristic
1352C4—22no—
1353C4—22no—
1354C4—22no—
1355C4—24no—
1356C4—24no—
1357C4—22no—
1358C4—24no—
1359C4—114no—
1360C4—222no—
1361C4—222no—
1362C4—222no—
1363C4—222no—
1364C4—224no—
1365C4—224no—
1366C4—222no—
1367C4C2×#41×D1114yes—
1368C4C2×#6704214yes—
1369C2—24no—
1370C2—44no—
1371C2—228no—
1372C2—224no—
1373C2—444no—
1374C2—442no—
1375C2#1308222214yesdirect product factor
1376C2C22×#41×D1111yescharacteristic
1377C2C22×#41×D1111yescharacteristic
1378C2C22×#6704211yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#529C2
socleC23×C11C25
hypercenterC2×#529D11
hypocenterC11C2×#3481
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #13082222C2direct (N × H)
2. C2×#10623212C2semidirect
3. C2×#10623166C2semidirect
4. C2×#10623221C2semidirect
5. C2×#10623226C2semidirect
6. C2×#10623149C2semidirect
7. C2×#10623240C2semidirect
8. C2×#10623236C2semidirect
9. C2×#10623189C2semidirect
10. C2×#10623207C2semidirect
11. C2×#10623185C2semidirect
12. C2×#10623161C2semidirect
13. C2×#10623140C2semidirect
14. C2×#10623079C2semidirect
15. C2×#10623111C2semidirect
16. C2×#10623059C2semidirect
17. C2×#10623055C2semidirect
18. C2×#10623078C2semidirect
19. C2×C4×#4343C2semidirect
20. C2×C4×#4339C2semidirect
21. C22×C4×D44C2semidirect
22. C2×C4×D4×D11C2semidirect
23. C2×C4×D4×D11C2semidirect
24. C2×C11×#529C2semidirect
29. C22×#4339C22semidirect
31. C23×C4×D11C22semidirect
32. C23×C4×D11C22semidirect
33. C11×#529C22semidirect
34. C2×C11×#126C22semidirect
35. C2×C11×#125C22semidirect
36. C2×C11×#124C22semidirect
37. C2×C11×#123C22semidirect
38. C2×C11×C22⋊Q8C22semidirect
40. C2×C4×Q8×C11C22semidirect
41. C2×C4×D4×C11C22semidirect
42. C2×C4×D4×C11C22semidirect
43. C2×C11×#117C22semidirect
44. C22×C42×C11C22semidirect
45. C2×#67000C22semidirect
46. C2×#66999C22semidirect
47. C2×Q8×Dic11C22semidirect
49. C2×#66992C22semidirect
50. C2×#66991C22semidirect
52. C2×D4×Dic11C22semidirect
53. C2×D4×Dic11C22semidirect
56. C2×C4×C22⋊D11C22semidirect
57. C2×C4×C22⋊D11C22semidirect
58. C2×C4×C22⋊D11C22semidirect
59. C2×C4×C22⋊D11C22semidirect
60. C22×(C2×D11)⋊C4C22semidirect
61. C2×#66979C22semidirect
62. C22×C4⋊Dic11C22semidirect
63. #10623240C22semidirect
64. #10623236C22semidirect
65. #10623226C22semidirect
66. #10623221C22semidirect
67. #10623212C22semidirect
68. #10623207C22semidirect
69. #10623189C22semidirect
70. #10623185C22semidirect
71. #10623166C22semidirect
72. #10623161C22semidirect
73. #10623149C22semidirect
74. #10623140C22semidirect
75. #10623111C22semidirect
76. C4×#4343C22semidirect
77. #10623079C22semidirect
78. #10623078C22semidirect
79. C4×D4×D11C22semidirect
80. C4×D4×D11C22semidirect
81. #10623059C22semidirect
82. #10623055C22semidirect
83. C2×#66951C22semidirect
84. C2×#66951C22semidirect
85. C2×#66950C22semidirect
86. C2×#66950C22semidirect
87. C2×#66949C22semidirect
88. C2×#66949C22semidirect
90. C2×#66948C22semidirect
91. C2×#66948C22semidirect
92. C2×#66948C22semidirect
93. C2×#66947C22semidirect
94. C2×#66947C22semidirect
95. C2×#66947C22semidirect
98. C2×#66946C22semidirect
99. C2×#66946C22semidirect
100. C2×#66945C22semidirect
101. C2×#66945C22semidirect
102. C2×C4⋊C4×D11C22semidirect
103. C2×C4⋊C4×D11C22semidirect
104. C2×#66943C22semidirect
105. C2×#66942C22semidirect
106. C2×#66941C22semidirect
107. C2×#66939C22semidirect
108. C2×#66939C22semidirect
109. C2×#66938C22semidirect
110. C2×#66938C22semidirect
112. C2×#66937C22semidirect
113. C2×#66937C22semidirect
114. C2×#66936C22semidirect
115. C2×#66936C22semidirect
117. C2×#66935C22semidirect
118. C2×#66935C22semidirect
120. C2×(C22⋊D11)⋊C4C22semidirect
121. C2×(C22⋊D11)⋊C4C22semidirect
122. C2×C22⋊C4×D11C22semidirect
123. C2×C22⋊C4×D11C22semidirect
124. C2×C22⋊C4×D11C22semidirect
125. C2×#66932C22semidirect
126. C2×#66931C22semidirect
127. C4×#4339C22semidirect
130. C2×C4×D44C22semidirect
131. C2×C4×D44C22semidirect
132. C2×C4×D44C22semidirect
133. C2×C4×D44C22semidirect
134. C2×C4×D44C22semidirect
135. C2×C4×D44C22semidirect
136. C2×C4×D44C22semidirect
137. C2×C4×D44C22semidirect
138. C2×C4×D44C22semidirect
139. C2×#66925C22semidirect
140. C2×#66925C22semidirect
141. C2×#66925C22semidirect
142. C2×C42×D11C22semidirect
143. C2×C42×D11C22semidirect
144. C2×C42×D11C22semidirect
145. C2×C4×Dic22C22semidirect
146. C2×C4×Dic22C22semidirect
173. C2×#4339C23semidirect
199. C22×C4×D11C23semidirect
200. C22×C4×D11C23semidirect
203. C11×#126C23semidirect
204. C11×#125C23semidirect
205. C11×#124C23semidirect
206. C11×#123C23semidirect
207. C11×C22⋊Q8C23semidirect
209. C4×Q8×C11C23semidirect
210. C4×D4×C11C23semidirect
211. C4×D4×C11C23semidirect
212. C11×#117C23semidirect
229. C2×C42×C11C23semidirect
234. #67000C23semidirect
235. #66999C23semidirect
236. Q8×Dic11C23semidirect
238. #66992C23semidirect
239. #66991C23semidirect
241. D4×Dic11C23semidirect
242. D4×Dic11C23semidirect
245. C4×C22⋊D11C23semidirect
246. C4×C22⋊D11C23semidirect
247. C4×C22⋊D11C23semidirect
248. C4×C22⋊D11C23semidirect
265. C2×(C2×D11)⋊C4C23semidirect
266. #66979C23semidirect
274. C2×C4⋊Dic11C23semidirect
291. #66951C23semidirect
292. #66951C23semidirect
293. #66950C23semidirect
294. #66950C23semidirect
295. #66949C23semidirect
296. #66949C23semidirect
298. #66948C23semidirect
299. #66948C23semidirect
300. #66948C23semidirect
301. #66947C23semidirect
302. #66947C23semidirect
303. #66947C23semidirect
306. #66946C23semidirect
307. #66946C23semidirect
308. #66945C23semidirect
309. #66945C23semidirect
310. C4⋊C4×D11C23semidirect
311. C4⋊C4×D11C23semidirect
312. #66943C23semidirect
313. #66942C23semidirect
314. #66941C23semidirect
315. #66939C23semidirect
316. #66939C23semidirect
317. #66938C23semidirect
318. #66938C23semidirect
320. #66937C23semidirect
321. #66937C23semidirect
322. #66936C23semidirect
323. #66936C23semidirect
325. #66935C23semidirect
326. #66935C23semidirect
328. (C22⋊D11)⋊C4C23semidirect
329. (C22⋊D11)⋊C4C23semidirect
330. C22⋊C4×D11C23semidirect
331. C22⋊C4×D11C23semidirect
332. C22⋊C4×D11C23semidirect
333. #66932C23semidirect
334. #66931C23semidirect
337. C4×D44C23semidirect
338. C4×D44C23semidirect
339. C4×D44C23semidirect
340. C4×D44C23semidirect
341. C4×D44C23semidirect
342. C4×D44C23semidirect
343. C4×D44C23semidirect
344. C4×D44C23semidirect
345. #66925C23semidirect
346. #66925C23semidirect
347. #66925C23semidirect
348. C42×D11C23semidirect
349. C42×D11C23semidirect
350. C42×D11C23semidirect
351. C4×Dic22C23semidirect
352. C4×Dic22C23semidirect
396. C2×C22⋊D11#41semidirect
427. C2×D44#41semidirect
544. C2×#529D11semidirect
615. C22⋊D11C2×#41semidirect
640. D44C2×#41semidirect
682. #529C2×D11semidirect
686. C2×#126C2×D11semidirect
689. C2×#125C2×D11semidirect
693. C2×#124C2×D11semidirect
703. C2×#123C2×D11semidirect
710. C2×C22⋊Q8C2×D11semidirect
730. C2×C4×Q8C2×D11semidirect
759. C2×C4×D4C2×D11semidirect
760. C2×C4×D4C2×D11semidirect
767. C2×#117C2×D11semidirect
778. C22×C42C2×D11semidirect
887. #126C22×D11semidirect
890. #125C22×D11semidirect
894. #124C22×D11semidirect
902. #123C22×D11semidirect
909. C22⋊Q8C22×D11semidirect
927. C4×Q8C22×D11semidirect
953. C4×D4C22×D11semidirect
954. C4×D4C22×D11semidirect
961. #117C22×D11semidirect
1031. C2×C42C22×D11semidirect
1034. C2×C11#3481semidirect
1216. C11C2×#3481semidirect
1375. C2#13082222direct (N × H)

Maximal subgroups

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

subgroupindex
#130822222
C2×#106232122
C2×#106231662
C2×#106232212
C2×#106232262
C2×#106231492
C2×#106232402
C2×#106232362
C2×#106231892
C2×#106232072
C2×#106231852
C2×#106231612
C2×#106231402
C2×#106230792
C2×#106231112
C2×#106230592
C2×#106230552
C2×#106230782
C2×C4×#43432
C2×C4×#43392
C22×C4×D442
C2×C4×D4×D112
C2×C11×#5292
C2×#348111