Finite Group Databasebeta

← C2×#13082560 #15661748

Subgroups — C2×#13082560 #15661748

Order 2816.

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#13082560C2132yesmaximal, direct product factor
2C2×#10623116C211yesmaximal, characteristic, complemented
3C2×#10623110C211yesmaximal, characteristic, complemented
4C2×#10623240C212yesmaximal, complemented
5C2×#10623096C211yesmaximal, characteristic, complemented
6C2×#10623072C211yesmaximal, characteristic, complemented
7C2×#10623168C212yesmaximal, complemented
8C2×#10623236C212yesmaximal, complemented
9C2×#10623086C211yesmaximal, characteristic, complemented
10C2×#10623081C211yesmaximal, characteristic, complemented
11C2×#10623081C211yesmaximal, characteristic, complemented
12C2×#10623141C212yesmaximal, complemented
13C2×D4×D44C211yesmaximal, characteristic, complemented
14C2×#10623065C211yesmaximal, characteristic, complemented
15C2×#10623066C211yesmaximal, characteristic, complemented
16C2×#10623223C212yesmaximal, complemented
17C2×#10623209C212yesmaximal, complemented
18C2×#10623010C211yesmaximal, characteristic, complemented
19C2×#10623187C212yesmaximal, complemented
20C2×D11×#123C212yesmaximal, complemented
21C2×#10623054C211yesmaximal, characteristic, complemented
22C2×#10623052C211yesmaximal, characteristic, complemented
23C22×C4×D44C211yesmaximal, characteristic, complemented
24C2×C11×#529C211yesmaximal, characteristic, complemented
25C22×#4341C2212yescomplemented
26C22×D4×D11C2212yes—
27C22×#4339C2211yescharacteristic
28C23×D44C2211yescharacteristic
29C23×D44C2211yescharacteristic
30C23×C4×D11C2212yescomplemented
31C11×#529C22116yescomplemented
32C2×C11×#126C2211yescharacteristic, complemented
33C2×C11×#126C2211yescharacteristic, complemented
34C2×C11×#125C2211yescharacteristic, complemented
35C2×C11×#124C2211yescharacteristic, complemented
36C2×C11×#123C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic, complemented
38C2×C11×C22⋊Q8C2211yescharacteristic, complemented
39C2×C11×#121C2211yescharacteristic
40C2×C4×Q8×C11C2211yescharacteristic, complemented
41C2×C4×D4×C11C2211yescharacteristic
42C2×C4×D4×C11C2211yescharacteristic, complemented
43C2×C4×D4×C11C2211yescharacteristic, complemented
44C2×C11×#117C2211yescharacteristic, complemented
45C2×C11×#117C2211yescharacteristic, complemented
46C22×C42×C11C2211yescharacteristic, complemented
47C2×#67000C2212yescomplemented
48C2×#66999C2212yescomplemented
49C2×#66992C2212yescomplemented
50C2×#66990C2212yescomplemented
51C2×#66990C2212yescomplemented
52C2×#66988C2212yes—
53C2×#66983C2211yescharacteristic
54C2×#66983C2211yescharacteristic
55C2×#66983C2211yescharacteristic, complemented
56C2×#66983C2211yescharacteristic, complemented
57C2×#66982C2212yescomplemented
58C2×C4×C22⋊D11C2212yescomplemented
59C22×(C2×D11)⋊C4C2212yescomplemented
60C2×#66979C2211yescharacteristic, complemented
61C22×C4⋊Dic11C2211yescharacteristic, complemented
62C22×C4⋊Dic11C2211yescharacteristic, complemented
63C2×#66977C2211yescharacteristic, complemented
64C2×#66977C2211yescharacteristic, complemented
65#10623240C22132yescomplemented
66#10623236C22132yescomplemented
67#10623223C22132yescomplemented
68#10623209C22132yescomplemented
69#10623187C22132yescomplemented
70D11×#123C22132yescomplemented
71#10623168C22132yescomplemented
72#10623141C22132yescomplemented
73#10623116C22116yescomplemented
74#10623110C22116yescomplemented
75#10623096C22116yescomplemented
76#10623086C22116yescomplemented
77#10623081C22116yescomplemented
78#10623081C22116yescomplemented
79D4×D44C22116yescomplemented
80#10623072C22116yescomplemented
81#10623066C22116yescomplemented
82#10623065C22116yescomplemented
83#10623054C22116yescomplemented
84#10623052C22116yescomplemented
85C2×#66951C2212yescomplemented
86C2×#66951C2212yescomplemented
87C2×#66950C2212yescomplemented
88C2×#66949C2212yescomplemented
89C2×#66949C2212yescomplemented
90C2×#66949C2212yescomplemented
91C2×#66948C2212yes—
92C2×#66947C2212yescomplemented
93C2×#66947C2212yescomplemented
94C2×#66947C2212yescomplemented
95C2×#66947C2212yescomplemented
96C2×#66947C2212yescomplemented
97C2×#66947C2212yescomplemented
98C2×#66946C2212yescomplemented
99C2×#66946C2212yescomplemented
100C2×#66946C2212yescomplemented
101C2×#66945C2212yescomplemented
102C2×C4⋊C4×D11C2212yescomplemented
103C2×C4⋊C4×D11C2212yescomplemented
104C2×#66942C2212yescomplemented
105C2×#66939C2212yescomplemented
106C2×#66939C2212yescomplemented
107C2×#66938C2212yescomplemented
108C2×#66937C2212yescomplemented
109C2×#66937C2212yescomplemented
110C2×#66937C2212yescomplemented
111C2×#66937C2212yescomplemented
112C2×#66936C2212yescomplemented
113C2×#66936C2212yescomplemented
114C2×#66935C2212yes—
115C2×#66935C2212yes—
116C2×(C22⋊D11)⋊C4C2212yescomplemented
117C2×(C22⋊D11)⋊C4C2212yescomplemented
118C2×(C22⋊D11)⋊C4C2212yescomplemented
119C2×C22⋊C4×D11C2212yescomplemented
120C2×C22⋊C4×D11C2212yescomplemented
121C2×C22⋊C4×D11C2212yescomplemented
122C2×C22⋊C4×D11C2212yescomplemented
123C2×#66932C2212yescomplemented
124C2×#66930C2212yescomplemented
125#10623010C22116yescomplemented
126C2×#66929C2212yescomplemented
127C2×#66928C2211yescharacteristic, complemented
128C2×#66928C2211yescharacteristic, complemented
129C2×#66927C2211yescharacteristic
130C2×C4×D44C2211yescharacteristic
131C2×C4×D44C2211yescharacteristic
132C2×C4×D44C2211yescharacteristic
133C2×C4×D44C2211yescharacteristic
134C2×C4×D44C22116yescomplemented
135C2×C4×D44C2212yescomplemented
136C2×C4×D44C2211yescharacteristic, complemented
137C2×C4×D44C2211yescharacteristic, complemented
138C2×C4×D44C2211yescharacteristic, complemented
139C2×C4×D44C2212yescomplemented
140C2×C4×D44C2211yescharacteristic, complemented
141C2×#66925C2212yescomplemented
142C2×#66923C2211yescharacteristic, complemented
143C2×#66923C2211yescharacteristic, complemented
144C2×#66922C2211yescharacteristic, complemented
145C2×C4×Dic22C2211yescharacteristic, complemented
146C2×C4×Dic22C2211yescharacteristic, complemented
147C24×D11C2312yes—
148C24×D11C2312yes—
149C22×Q8×C11C2311yescharacteristic
150C22×D4×C11C2311yescharacteristic
151C22×D4×C11C2311yescharacteristic
152C22×D4×C11C2311yescharacteristic
153C23×C4×C11C2311yescharacteristic
154C23×C4×C11C2311yescharacteristic
155C23×C4×C11C2311yescharacteristic
156C23×C4×C11C2311yescharacteristic
157C23×C4×C11C2311yescharacteristic
158C22×C22⋊D11C2312yes—
159C22×C22⋊D11C2312yes—
160C22×C22⋊D11C2312yes—
161C22×C22⋊D11C2312yes—
162C22×C22⋊D11C2312yes—
163C23×Dic11C2312yes—
164C23×Dic11C2312yes—
165C2×#4341—48no—
166C2×#4341C23116yescomplemented
167C2×D4×D11—48no—
168C2×D4×D11C23116yes—
169C2×#4339—28no—
170C2×#4339C2318yes—
171C22×D44—28no—
172C22×D44—28no—
173C22×D44C2311yescharacteristic
174C22×D44C2311yescharacteristic
175C22×D44C2312yes—
176C22×D44C2318yes—
177C22×D44C2312yes—
178C22×D44C2318yes—
179C22×D44C2312yes—
180C22×D44C2312yes—
181C22×D44C2311yescharacteristic
182C22×C4×D11—48no—
183C22×C4×D11C2312yes—
184C22×C4×D11C2312yes—
185C22×C4×D11C2312yes—
186C22×C4×D11C2312yes—
187C22×C4×D11C2312yes—
188C22×C4×D11C2312yes—
189C22×C4×D11C2312yes—
190C22×C4×D11C2312yes—
191C22×C4×D11C2312yes—
192C22×C4×D11C23116yescomplemented
193C22×Dic22C2311yescharacteristic
194C22×Dic22C2312yes—
195C11×#126C2318yescomplemented
196C11×#126C2318yescomplemented
197C11×#125C2318yescomplemented
198C11×#124C2318yescomplemented
199C11×#123C2318yes—
200C11×#123C2318yescomplemented
201C11×C22⋊Q8C2318yescomplemented
202C11×#121C2318yes—
203C4×Q8×C11C2318yescomplemented
204C4×D4×C11C2318yes—
205C4×D4×C11C2318yescomplemented
206C4×D4×C11C2318yescomplemented
207C11×#117C2318yescomplemented
208C11×#117C2318yescomplemented
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2318yescomplemented
236C2×C22⋊Dic11C2312yes—
237C2×C22⋊Dic11C2312yes—
238C2×C22⋊Dic11C2312yes—
239#67000C23116yescomplemented
240#66999C23116yescomplemented
241#66992C23116yescomplemented
242#66990C23116yescomplemented
243#66990C23116yescomplemented
244#66988C23116yes—
245#66983C2318yes—
246#66983C2318yes—
247#66983C2318yescomplemented
248#66983C2318yescomplemented
249#66982C23116yescomplemented
250C4×C22⋊D11C23116yescomplemented
251C2×(C2×D11)⋊C4C2312yes—
252C2×(C2×D11)⋊C4C2312yes—
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)⋊C4C2312yes—
266C2×(C2×D11)⋊C4C2312yes—
267C2×(C2×D11)⋊C4C23116yescomplemented
268#66979C2318yescomplemented
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2312yes—
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2312yes—
275C2×C4⋊Dic11C2312yes—
276C2×C4⋊Dic11C2318yescomplemented
277C2×C4⋊Dic11C2318yescomplemented
278#66977C2318yescomplemented
279#66977C2318yescomplemented
280C2×Dic11⋊C4C2312yes—
281C2×Dic11⋊C4C2312yes—
282C2×Dic11⋊C4C2312yes—
283C2×Dic11⋊C4C2312yes—
284C2×Dic11⋊C4C2312yes—
285C2×Dic11⋊C4C2312yes—
286C2×Dic11⋊C4C2312yes—
287C2×Dic11⋊C4C2312yes—
288C2×C4×Dic11C2312yes—
289C2×C4×Dic11C2312yes—
290C2×C4×Dic11C2312yes—
291#66951C23116yescomplemented
292#66951C23116yescomplemented
293#66950C23116yescomplemented
294#66949C23116yescomplemented
295#66949C23116yescomplemented
296#66949C23116yescomplemented
297#66948C23116yes—
298#66947C23116yescomplemented
299#66947C23116yescomplemented
300#66947C23116yescomplemented
301#66947C23116yescomplemented
302#66947C23116yescomplemented
303#66947C23116yescomplemented
304#66946C23116yescomplemented
305#66946C23116yescomplemented
306#66946C23116yescomplemented
307#66945C23116yescomplemented
308C4⋊C4×D11C23116yescomplemented
309C4⋊C4×D11C23116yescomplemented
310#66942C23116yescomplemented
311#66939C23116yescomplemented
312#66939C23116yescomplemented
313#66938C23116yescomplemented
314#66937C23116yescomplemented
315#66937C23116yescomplemented
316#66937C23116yescomplemented
317#66937C23116yescomplemented
318#66936C23116yescomplemented
319#66936C23116yescomplemented
320#66935C23116yes—
321#66935C23116yes—
322(C22⋊D11)⋊C4C23116yescomplemented
323(C22⋊D11)⋊C4C23116yescomplemented
324(C22⋊D11)⋊C4C23116yescomplemented
325C22⋊C4×D11C23116yescomplemented
326C22⋊C4×D11C23116yescomplemented
327C22⋊C4×D11C23116yescomplemented
328C22⋊C4×D11C23116yescomplemented
329#66932C23116yescomplemented
330#66930C23116yescomplemented
331#66929C23116yescomplemented
332#66928C2318yescomplemented
333#66928C2318yescomplemented
334#66927C2318yes—
335C4×D44C2318yes—
336C4×D44C2318yes—
337C4×D44C2318yes—
338C4×D44C2318yes—
339C4×D44C23116yescomplemented
340C4×D44C2318yescomplemented
341C4×D44C2318yescomplemented
342C4×D44C23116yescomplemented
343C4×D44C2318yescomplemented
344C4×D44C2318yescomplemented
345#66925C23116yescomplemented
346#66923C2318yescomplemented
347#66923C2318yescomplemented
348#66922C2318yescomplemented
349C4×Dic22C2318yescomplemented
350C4×Dic22C2318yescomplemented
351C2×#3513—111nomaximal, Sylow
352C24×C11C2411yescharacteristic
353C24×C11C2411yescharacteristic
354C24×C11C2411yescharacteristic
355C23×D11—28no—
356C23×D11—28no—
357C23×D11—28no—
358C23×D11—44no—
359C23×D11—44no—
360C23×D11—44no—
361C23×D11C2412yes—
362C23×D11C2412yes—
363C23×D11C2418yes—
364C23×D11C2412yes—
365C23×D11C2418yes—
366C2×Q8×C11—42no—
367C2×Q8×C11C2414yes—
368C2×D4×C11—24no—
369C2×D4×C11—24no—
370C2×D4×C11—42no—
371C2×D4×C11C2414yes—
372C2×D4×C11C2414yes—
373C2×D4×C11C2414yes—
374C22×C4×C11—24no—
375C22×C4×C11—24no—
376C22×C4×C11—24no—
377C22×C4×C11—24no—
378C22×C4×C11—42no—
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2414yes—
388C22×C4×C11C2414yes—
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2414yes—
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2414yes—
394C22×C4×C11C2414yes—
395C22×C4×C11C2411yescharacteristic
396C2×C22⋊D11—28no—
397C2×C22⋊D11—28no—
398C2×C22⋊D11—44no—
399C2×C22⋊D11—44no—
400C2×C22⋊D11—44no—
401C2×C22⋊D11C2418yes—
402C2×C22⋊D11C2418yes—
403C2×C22⋊D11C2418yes—
404C2×C22⋊D11C2418yes—
405C2×C22⋊D11C2418yes—
406C22×Dic11—28no—
407C22×Dic11—44no—
408C22×Dic11C2418yes—
409C22×Dic11C2412yes—
410C22×Dic11C2412yes—
411C22×Dic11C2412yes—
412C22×Dic11C2412yes—
413C22×Dic11C2412yes—
414C22×Dic11C2418yes—
415#4341—432no—
416D4×D11—432no—
417#4339—232no—
418C2×D44—232no—
419C2×D44—232no—
420C2×D44—28no—
421C2×D44—28no—
422C2×D44—24no—
423C2×D44—24no—
424C2×D44—44no—
425C2×D44—44no—
426C2×D44#4118yescomplemented
427C2×D44C2414yes—
428C2×D44C2414yes—
429C2×D44C2418yes—
430C2×D44C2418yes—
431C2×D44C2418yes—
432C2×D44C2418yes—
433C2×D44C2414yes—
434C2×C4×D11—28no—
435C2×C4×D11—44no—
436C2×C4×D11—44no—
437C2×C4×D11—44no—
438C2×C4×D11—44no—
439C2×C4×D11—432no—
440C2×C4×D11—44no—
441C2×C4×D11—44no—
442C2×C4×D11—44no—
443C2×C4×D11—44no—
444C2×C4×D11C2418yes—
445C2×C4×D11C2418yes—
446C2×C4×D11C2418yes—
447C2×C4×D11C2418yes—
448C2×C4×D11C2418yes—
449C2×C4×D11C2418yes—
450C2×C4×D11C2418yes—
451C2×C4×D11C2418yes—
452C2×C4×D11C2418yes—
453C2×Dic22—24no—
454C2×Dic22—44no—
455C2×Dic22C2414yes—
456C2×Dic22C2418yes—
457C11×C4⋊C4C2414yes—
458C11×C4⋊C4C2414yes—
459C11×C4⋊C4C2414yes—
460C11×C4⋊C4C2414yes—
461C11×C4⋊C4C2414yes—
462C11×C4⋊C4C2414yes—
463C11×C4⋊C4C2414yes—
464C11×C4⋊C4C2414yes—
465C11×C4⋊C4C2414yes—
466C11×C4⋊C4C2414yes—
467C11×C22⋊C4C2414yes—
468C11×C22⋊C4C2414yes—
469C11×C22⋊C4C2414yes—
470C11×C22⋊C4C2414yes—
471C11×C22⋊C4C2414yes—
472C11×C22⋊C4C2414yes—
473C11×C22⋊C4C2414yes—
474C11×C22⋊C4C2414yes—
475C11×C22⋊C4C2414yes—
476C11×C22⋊C4C2414yes—
477C42×C11C2414yes—
478C42×C11C2414yes—
479C42×C11C2414yes—
480C42×C11C2414yes—
481C42×C11C2414yes—
482C42×C11C2414yes—
483C22⋊Dic11C2418yes—
484C22⋊Dic11C2418yes—
485C22⋊Dic11C2418yes—
486(C2×D11)⋊C4C2418yes—
487(C2×D11)⋊C4C2418yes—
488(C2×D11)⋊C4C2418yes—
489(C2×D11)⋊C4C2418yes—
490(C2×D11)⋊C4C2418yes—
491(C2×D11)⋊C4C2418yes—
492(C2×D11)⋊C4C2418yes—
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—
502C4⋊Dic11C2414yes—
503C4⋊Dic11C2414yes—
504C4⋊Dic11C2414yes—
505C4⋊Dic11C2418yes—
506C4⋊Dic11C2414yes—
507C4⋊Dic11C2418yes—
508C4⋊Dic11C2418yes—
509Dic11⋊C4C2418yes—
510Dic11⋊C4C2418yes—
511Dic11⋊C4C2418yes—
512Dic11⋊C4C2418yes—
513Dic11⋊C4C2418yes—
514Dic11⋊C4C2418yes—
515Dic11⋊C4C2418yes—
516Dic11⋊C4C2418yes—
517C4×Dic11C2418yes—
518C4×Dic11C2418yes—
519C4×Dic11C2418yes—
520#3513—1132no—
521C2×#559—111no—
522C2×#554—111no—
523C2×#553—112no—
524C2×#553—111no—
525C2×#552—111no—
526C2×#551—112no—
527C2×#551—112no—
528C2×#547—111no—
529C2×#546—112no—
530C2×#546—111no—
531C2×#546—111no—
532C2×D42—111no—
533C2×#542—111no—
534C2×#540—111no—
535C2×#539—112no—
536C2×#538—112no—
537C2×#529—111no—
538C2×#529D1111yescharacteristic, complemented
539C2×#525—112no—
540C22×#123—112no—
541C2×#520—111no—
542C2×#518—111no—
543C22×C4×D4—111no—
544C23×C11—22no—
545C23×C11—22no—
546C23×C11—22no—
547C23×C11—22no—
548C23×C11—22no—
549C23×C11—22no—
550C23×C11—22no—
551C23×C11—22no—
552C23×C11H(5,𝔽2)14yes—
553C23×C11C2512yes—
554C23×C11C2512yes—
555C23×C11C2512yes—
556C23×C11C2511yescharacteristic
557C22×D11—24no—
558C22×D11—24no—
559C22×D11—24no—
560C22×D11—24no—
561C22×D11—24no—
562C22×D11—216no—
563C22×D11—24no—
564C22×D11—24no—
565C22×D11—24no—
566C22×D11—216no—
567C22×D11—216no—
568C22×D11—48no—
569C22×D11—48no—
570C22×D11—48no—
571C22×D11—432no—
572C22×D11—816no—
573C22×D11C2×#4118yes—
574C22×D11C2514yes—
575C22×D11C2514yes—
576C22×D11C2514yes—
577Q8×C11—44no—
578D4×C11—28no—
579D4×C11—28no—
580D4×C11—44no—
581C2×C4×C11—22no—
582C2×C4×C11—22no—
583C2×C4×C11—22no—
584C2×C4×C11—22no—
585C2×C4×C11—28no—
586C2×C4×C11—22no—
587C2×C4×C11—22no—
588C2×C4×C11—22no—
589C2×C4×C11—22no—
590C2×C4×C11—22no—
591C2×C4×C11—22no—
592C2×C4×C11—22no—
593C2×C4×C11—28no—
594C2×C4×C11—28no—
595C2×C4×C11—28no—
596C2×C4×C11—44no—
597C2×C4×C11C2×#4114yes—
598C2×C4×C11C2512yes—
599C2×C4×C11C2512yes—
600C2×C4×C11C2512yes—
601C2×C4×C11C2512yes—
602C2×C4×C11C2512yes—
603C2×C4×C11C2512yes—
604C2×C4×C11C2512yes—
605C2×C4×C11C2512yes—
606C2×C4×C11C2512yes—
607C2×C4×C11C2512yes—
608C2×C4×C11C2512yes—
609C2×C4×C11C2512yes—
610C22⋊D11—216no—
611C22⋊D11—216no—
612C22⋊D11—48no—
613C22⋊D11—48no—
614C22⋊D11—48no—
615C2×Dic11—24no—
616C2×Dic11—24no—
617C2×Dic11—24no—
618C2×Dic11—24no—
619C2×Dic11—216no—
620C2×Dic11—24no—
621C2×Dic11—48no—
622C2×Dic11C2514yes—
623C2×Dic11C2514yes—
624C2×Dic11C2514yes—
625C2×Dic11C2514yes—
626C2×Dic11C2514yes—
627D44—216no—
628D44—216no—
629D44—28no—
630D44—28no—
631D44—48no—
632D44—48no—
633D44C2×#41116yescomplemented
634C4×D11—216no—
635C4×D11—48no—
636C4×D11—48no—
637C4×D11—48no—
638C4×D11—48no—
639C4×D11—48no—
640C4×D11—48no—
641C4×D11—48no—
642C4×D11—48no—
643Dic22—28no—
644Dic22—48no—
645C22×#41—112no—
646C22×#41—111no—
647C23×D4—112no—
648C23×D4—111no—
649C23×D4—111no—
650C24×C4—112no—
651#559—1116no—
652#554—1116no—
653#553—1132no—
654#553—1116no—
655#552—1116no—
656#551—1132no—
657#551—1132no—
658#547—1116no—
659#546—1132no—
660#546—1116no—
661#546—1116no—
662D42—1116no—
663#542—1116no—
664#540—1116no—
665#539—1132no—
666#538—1132no—
667C2×C4⋊Q8—111no—
668C2×#127—111no—
669#529—1116no—
670#529C2×D11116yescomplemented
671C2×#126—112no—
672C2×#126—112no—
673C2×#126—112no—
674C2×#126—112no—
675C2×#126C2×D1111yescharacteristic, complemented
676C2×#126C2×D1111yescharacteristic, complemented
677C2×#125—112no—
678C2×#125—111no—
679C2×#125—111no—
680C2×#125C2×D1111yescharacteristic, complemented
681C2×#124—112no—
682C2×#124—112no—
683C2×#124—111no—
684C2×#124—111no—
685C2×#124C2×D1111yescharacteristic, complemented
686#525—1132no—
687C2×#123—112no—
688C2×#123—112no—
689C2×#123—1132no—
690C2×#123—112no—
691C2×#123—112no—
692C2×#123—112no—
693C2×#123—112no—
694C2×#123—112no—
695C2×#123—112no—
696C2×#123—112no—
697C2×#123—112no—
698C2×#123—112no—
699C2×#123—112no—
700C2×#123C2×D1111yescharacteristic
701C2×#123C2×D1111yescharacteristic, complemented
702C2×C22⋊Q8—112no—
703C2×C22⋊Q8—111no—
704C2×C22⋊Q8—111no—
705C2×C22⋊Q8—112no—
706C2×C22⋊Q8—112no—
707C2×C22⋊Q8—112no—
708C2×C22⋊Q8—112no—
709C2×C22⋊Q8C2×D1111yescharacteristic, complemented
710C2×#121—112no—
711C2×#121—111no—
712C2×#121—111no—
713C2×#121—111no—
714C2×#121—111no—
715C2×#121—112no—
716C2×#121—112no—
717C2×#121—112no—
718C2×#121—112no—
719C2×#121—112no—
720C2×#121C2×D1111yescharacteristic
721C2×#120—112no—
722C2×#120—112no—
723C2×#120—112no—
724C2×#120—112no—
725#520—1116no—
726#518—1116no—
727C2×C4×Q8—111no—
728C2×C4×Q8—111no—
729C2×C4×Q8C2×D1111yescharacteristic, complemented
730C2×C4×D4—112no—
731C2×C4×D4—112no—
732C2×C4×D4—112no—
733C2×C4×D4—112no—
734C2×C4×D4—112no—
735C2×C4×D4—112no—
736C2×C4×D4—112no—
737C2×C4×D4—111no—
738C2×C4×D4—111no—
739C2×C4×D4—111no—
740C2×C4×D4—111no—
741C2×C4×D4—112no—
742C2×C4×D4—111no—
743C2×C4×D4—112no—
744C2×C4×D4—111no—
745C2×C4×D4—111no—
746C2×C4×D4—111no—
747C2×C4×D4—1116no—
748C2×C4×D4C2×D1111yescharacteristic
749C2×C4×D4C2×D1111yescharacteristic, complemented
750C2×C4×D4C2×D1111yescharacteristic, complemented
751C2×#117—111no—
752C2×#117—112no—
753C2×#117—112no—
754C2×#117—112no—
755C2×#117C2×D1111yescharacteristic, complemented
756C2×#117C2×D1111yescharacteristic, complemented
757C22×C4⋊C4—111no—
758C22×C4⋊C4—111no—
759C22×C4⋊C4—112no—
760C22×C4⋊C4—112no—
761C22×C22⋊C4—112no—
762C22×C22⋊C4—112no—
763C22×C22⋊C4—112no—
764C22×C22⋊C4—112no—
765C22×C22⋊C4—112no—
766C22×C42C2×D1111yescharacteristic, complemented
767C22×C11—22no—
768C22×C11—22no—
769C22×C11—28no—
770C22×C11—22no—
771C22×C11—22no—
772C22×C11—22no—
773C22×C11—22no—
774C22×C11—22no—
775C22×C11—22no—
776C22×C11—44no—
777C22×C11—44no—
778C22×C11C22×#4112yes—
779C22×C11C2×H(5,𝔽2)14yes—
780C22×C11C2×H(5,𝔽2)12yes—
781C22×C11#58512yes—
782C22×C11C2611yescharacteristic
783C2×D11—24no—
784C2×D11—24no—
785C2×D11—216no—
786C2×D11—24no—
787C2×D11—24no—
788C2×D11—24no—
789C2×D11—24no—
790C2×D11—24no—
791C2×D11—24no—
792C2×D11—432no—
793C2×D11—48no—
794C2×D11—48no—
795C2×D11—816no—
796C2×D11C22×#4118yes—
797C4×C11—22no—
798C4×C11—22no—
799C4×C11—22no—
800C4×C11—22no—
801C4×C11—22no—
802C4×C11—22no—
803C4×C11—22no—
804C4×C11—22no—
805C4×C11—22no—
806C4×C11—22no—
807C4×C11—22no—
808C4×C11C22×#4114yes—
809Dic11—24no—
810Dic11—24no—
811Dic11—24no—
812Dic11—24no—
813Dic11—24no—
814C25—112no—
815C25—112no—
816C2×#41—1116no—
817C2×#41—118no—
818C2×#41—228no—
819C2×#41—448no—
820C22×Q8—111no—
821C22×Q8—112no—
822C22×Q8C22×D1111yescharacteristic
823C22×D4—112no—
824C22×D4—112no—
825C22×D4—112no—
826C22×D4—112no—
827C22×D4—112no—
828C22×D4—1116no—
829C22×D4—111no—
830C22×D4—112no—
831C22×D4—112no—
832C22×D4—111no—
833C22×D4—111no—
834C22×D4—118no—
835C22×D4—118no—
836C22×D4—112no—
837C22×D4—112no—
838C22×D4—228no—
839C22×D4—228no—
840C22×D4—448no—
841C22×D4C22×D1111yescharacteristic
842C22×D4C22×D1111yescharacteristic
843C22×D4C22×D1111yescharacteristic
844C23×C4—112no—
845C23×C4—112no—
846C23×C4—112no—
847C23×C4—112no—
848C23×C4—112no—
849C23×C4—112no—
850C23×C4—112no—
851C23×C4—112no—
852C23×C4—112no—
853C23×C4—112no—
854C23×C4—112no—
855C23×C4—1116no—
856C23×C4—448no—
857C23×C4C22×D1111yescharacteristic
858C23×C4C22×D1111yescharacteristic
859C23×C4C22×D1111yescharacteristic
860C23×C4C22×D1111yescharacteristic
861C23×C4C22×D1111yescharacteristic
862C4⋊Q8—118no—
863#127—118no—
864#126—1116no—
865#126—1116no—
866#126—1116no—
867#126—1116no—
868#126C22×D1118yescomplemented
869#126C22×D1118yescomplemented
870#125—1116no—
871#125—118no—
872#125—118no—
873#125C22×D1118yescomplemented
874#124—1116no—
875#124—1116no—
876#124—118no—
877#124—118no—
878#124C22×D1118yescomplemented
879#123—1116no—
880#123—1116no—
881#123—1116no—
882#123—1116no—
883#123—1116no—
884#123—1116no—
885#123—1116no—
886#123—1116no—
887#123—1116no—
888#123—1116no—
889#123—1116no—
890#123—1116no—
891#123C22×D1118yes—
892#123C22×D1118yescomplemented
893C22⋊Q8—1116no—
894C22⋊Q8—118no—
895C22⋊Q8—118no—
896C22⋊Q8—1116no—
897C22⋊Q8—1116no—
898C22⋊Q8—1116no—
899C22⋊Q8—1116no—
900C22⋊Q8C22×D1118yescomplemented
901#121—1116no—
902#121—118no—
903#121—118no—
904#121—118no—
905#121—118no—
906#121—1116no—
907#121—1116no—
908#121—1116no—
909#121—1116no—
910#121—1116no—
911#121C22×D1118yes—
912#120—1116no—
913#120—1116no—
914#120—1116no—
915#120—1116no—
916C4×Q8—118no—
917C4×Q8—118no—
918C4×Q8C22×D1118yescomplemented
919C4×D4—1116no—
920C4×D4—1116no—
921C4×D4—1116no—
922C4×D4—1116no—
923C4×D4—1116no—
924C4×D4—1116no—
925C4×D4—1116no—
926C4×D4—118no—
927C4×D4—1116no—
928C4×D4—118no—
929C4×D4—118no—
930C4×D4—1116no—
931C4×D4—118no—
932C4×D4—118no—
933C4×D4—118no—
934C4×D4—118no—
935C4×D4—118no—
936C4×D4C22×D1118yes—
937C4×D4C22×D1118yescomplemented
938C4×D4C22×D1118yescomplemented
939#117—118no—
940#117—1116no—
941#117—1116no—
942#117—1116no—
943#117C22×D1118yescomplemented
944#117C22×D1118yescomplemented
945C2×C4⋊C4—111no—
946C2×C4⋊C4—112no—
947C2×C4⋊C4—112no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—112no—
950C2×C4⋊C4—118no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—112no—
953C2×C4⋊C4—112no—
954C2×C4⋊C4—118no—
955C2×C4⋊C4—112no—
956C2×C4⋊C4—112no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—112no—
959C2×C4⋊C4—112no—
960C2×C4⋊C4—112no—
961C2×C4⋊C4—112no—
962C2×C4⋊C4—1116no—
963C2×C4⋊C4—1116no—
964C2×C4⋊C4C22×D1111yescharacteristic
965C2×C4⋊C4C22×D1111yescharacteristic
966C2×C4⋊C4C22×D1111yescharacteristic
967C2×C4⋊C4C22×D1111yescharacteristic
968C2×C4⋊C4C22×D1111yescharacteristic
969C2×C4⋊C4C22×D1111yescharacteristic
970C2×C4⋊C4C22×D1111yescharacteristic
971C2×C4⋊C4C22×D1111yescharacteristic
972C2×C4⋊C4C22×D1111yescharacteristic
973C2×C4⋊C4C22×D1111yescharacteristic
974C2×C22⋊C4—112no—
975C2×C22⋊C4—112no—
976C2×C22⋊C4—112no—
977C2×C22⋊C4—112no—
978C2×C22⋊C4—112no—
979C2×C22⋊C4—112no—
980C2×C22⋊C4—112no—
981C2×C22⋊C4—112no—
982C2×C22⋊C4—112no—
983C2×C22⋊C4—112no—
984C2×C22⋊C4—112no—
985C2×C22⋊C4—1116no—
986C2×C22⋊C4—112no—
987C2×C22⋊C4—112no—
988C2×C22⋊C4—112no—
989C2×C22⋊C4—112no—
990C2×C22⋊C4—112no—
991C2×C22⋊C4—112no—
992C2×C22⋊C4—112no—
993C2×C22⋊C4—112no—
994C2×C22⋊C4—1116no—
995C2×C22⋊C4—1116no—
996C2×C22⋊C4—1116no—
997C2×C22⋊C4—1116no—
998C2×C22⋊C4C22×D1111yescharacteristic
999C2×C22⋊C4C22×D1111yescharacteristic
1000C2×C22⋊C4C22×D1111yescharacteristic
1001C2×C22⋊C4C22×D1111yescharacteristic
1002C2×C22⋊C4C22×D1111yescharacteristic
1003C2×C22⋊C4C22×D1111yescharacteristic
1004C2×C22⋊C4C22×D1111yescharacteristic
1005C2×C22⋊C4C22×D1111yescharacteristic
1006C2×C22⋊C4C22×D1111yescharacteristic
1007C2×C22⋊C4C22×D1111yescharacteristic
1008C2×C42—112no—
1009C2×C42—112no—
1010C2×C42—112no—
1011C2×C42C22×D1111yescharacteristic
1012C2×C42C22×D1111yescharacteristic
1013C2×C42C22×D1111yescharacteristic
1014C2×C42C22×D1111yescharacteristic
1015C2×C42C22×D1111yescharacteristic
1016C2×C42C22×D1111yescharacteristic
1017C2×C42C22×D1118yescomplemented
1018C2×C11—24no—
1019C2×C11—42no—
1020C2×C11—42no—
1021C2×C11#351314yescomplemented
1022C2×C11C23×#4111yescharacteristic
1023C2×C11C22×H(5,𝔽2)11yescharacteristic
1024C2×C11C2×#58511yescharacteristic
1025D11—28no—
1026D11—44no—
1027D11—44no—
1028C24—112no—
1029C24—112no—
1030C24—112no—
1031C24—118no—
1032C24—118no—
1033C24—228no—
1034C24—228no—
1035C24—228no—
1036C24—444no—
1037C24—444no—
1038C24—444no—
1039C24C23×D1111yescharacteristic
1040C24C23×D1111yescharacteristic
1041C24C23×D1111yescharacteristic
1042#41—2232no—
1043#41—4432no—
1044C2×Q8—42no—
1045C2×Q8—114no—
1046C2×Q8—118no—
1047C2×Q8—224no—
1048C2×Q8—444no—
1049C2×Q8C23×D1114yes—
1050C2×D4—24no—
1051C2×D4—24no—
1052C2×D4—42no—
1053C2×D4—118no—
1054C2×D4—118no—
1055C2×D4—118no—
1056C2×D4—118no—
1057C2×D4—118no—
1058C2×D4—118no—
1059C2×D4—114no—
1060C2×D4—118no—
1061C2×D4—118no—
1062C2×D4—114no—
1063C2×D4—114no—
1064C2×D4—118no—
1065C2×D4—118no—
1066C2×D4—2232no—
1067C2×D4—2232no—
1068C2×D4—228no—
1069C2×D4—228no—
1070C2×D4—228no—
1071C2×D4—228no—
1072C2×D4—224no—
1073C2×D4—224no—
1074C2×D4—444no—
1075C2×D4—444no—
1076C2×D4—444no—
1077C2×D4—444no—
1078C2×D4—444no—
1079C2×D4—4432no—
1080C2×D4C23×D1114yes—
1081C2×D4C23×D1114yes—
1082C2×D4C23×D1114yes—
1083C22×C4—24no—
1084C22×C4—24no—
1085C22×C4—24no—
1086C22×C4—24no—
1087C22×C4—42no—
1088C22×C4—118no—
1089C22×C4—112no—
1090C22×C4—112no—
1091C22×C4—112no—
1092C22×C4—112no—
1093C22×C4—112no—
1094C22×C4—118no—
1095C22×C4—118no—
1096C22×C4—118no—
1097C22×C4—118no—
1098C22×C4—118no—
1099C22×C4—118no—
1100C22×C4—118no—
1101C22×C4—118no—
1102C22×C4—118no—
1103C22×C4—118no—
1104C22×C4—228no—
1105C22×C4—228no—
1106C22×C4—444no—
1107C22×C4—444no—
1108C22×C4—444no—
1109C22×C4—444no—
1110C22×C4—4432no—
1111C22×C4—444no—
1112C22×C4—444no—
1113C22×C4—444no—
1114C22×C4—444no—
1115C22×C4—444no—
1116C22×C4C23×D1114yes—
1117C22×C4C23×D1114yes—
1118C22×C4C23×D1114yes—
1119C22×C4C23×D1114yes—
1120C22×C4C23×D1111yescharacteristic
1121C22×C4C23×D1111yescharacteristic
1122C22×C4C23×D1111yescharacteristic
1123C22×C4C23×D1111yescharacteristic
1124C22×C4C23×D1111yescharacteristic
1125C22×C4C23×D1111yescharacteristic
1126C22×C4C23×D1111yescharacteristic
1127C22×C4C23×D1111yescharacteristic
1128C22×C4C23×D1111yescharacteristic
1129C22×C4C23×D1111yescharacteristic
1130C22×C4C23×D1111yescharacteristic
1131C22×C4C23×D1114yes—
1132C22×C4C23×D1111yescharacteristic
1133C4⋊C4—114no—
1134C4⋊C4—118no—
1135C4⋊C4—118no—
1136C4⋊C4—114no—
1137C4⋊C4—118no—
1138C4⋊C4—114no—
1139C4⋊C4—118no—
1140C4⋊C4—118no—
1141C4⋊C4—118no—
1142C4⋊C4—118no—
1143C4⋊C4—114no—
1144C4⋊C4—118no—
1145C4⋊C4—118no—
1146C4⋊C4—118no—
1147C4⋊C4—118no—
1148C4⋊C4C23×D1114yes—
1149C4⋊C4C23×D1114yes—
1150C4⋊C4C23×D1114yes—
1151C4⋊C4C23×D1114yes—
1152C4⋊C4C23×D1114yes—
1153C4⋊C4C23×D1114yes—
1154C4⋊C4C23×D1114yes—
1155C4⋊C4C23×D1114yes—
1156C4⋊C4C23×D1114yes—
1157C4⋊C4C23×D1114yes—
1158C22⋊C4—118no—
1159C22⋊C4—118no—
1160C22⋊C4—118no—
1161C22⋊C4—118no—
1162C22⋊C4—118no—
1163C22⋊C4—118no—
1164C22⋊C4—118no—
1165C22⋊C4—118no—
1166C22⋊C4—118no—
1167C22⋊C4—118no—
1168C22⋊C4—118no—
1169C22⋊C4—118no—
1170C22⋊C4—118no—
1171C22⋊C4—118no—
1172C22⋊C4—118no—
1173C22⋊C4—118no—
1174C22⋊C4—118no—
1175C22⋊C4—118no—
1176C22⋊C4—118no—
1177C22⋊C4C23×D1114yes—
1178C22⋊C4C23×D1114yes—
1179C22⋊C4C23×D1114yes—
1180C22⋊C4C23×D1114yes—
1181C22⋊C4C23×D1114yes—
1182C22⋊C4C23×D1114yes—
1183C22⋊C4C23×D1114yes—
1184C22⋊C4C23×D1114yes—
1185C22⋊C4C23×D1114yes—
1186C22⋊C4C23×D1114yes—
1187C42—118no—
1188C42—118no—
1189C42—118no—
1190C42C23×D1114yes—
1191C42C23×D1114yes—
1192C42C23×D1114yes—
1193C42C23×D1114yes—
1194C42C23×D1114yes—
1195C42C23×D1114yes—
1196C11C2×#351311yescharacteristic, complemented, Sylow
1197C23—22no—
1198C23—22no—
1199C23—22no—
1200C23—22no—
1201C23—22no—
1202C23—22no—
1203C23—22no—
1204C23—22no—
1205C23—118no—
1206C23—114no—
1207C23—114no—
1208C23—114no—
1209C23—2216no—
1210C23—2216no—
1211C23—224no—
1212C23—224no—
1213C23—224no—
1214C23—224no—
1215C23—2216no—
1216C23—224no—
1217C23—224no—
1218C23—224no—
1219C23—224no—
1220C23—448no—
1221C23—448no—
1222C23—448no—
1223C23—4432no—
1224C23—8816no—
1225C23#6704214yes—
1226C23C24×D1112yes—
1227C23C24×D1112yes—
1228C23C24×D1112yes—
1229C23C24×D1111yescharacteristic
1230Q8—44no—
1231Q8—228no—
1232Q8—448no—
1233D4—28no—
1234D4—28no—
1235D4—44no—
1236D4—1116no—
1237D4—2216no—
1238D4—2216no—
1239D4—2216no—
1240D4—2216no—
1241D4—228no—
1242D4—228no—
1243D4—448no—
1244D4—448no—
1245D4—448no—
1246D4—448no—
1247D4—448no—
1248C2×C4—22no—
1249C2×C4—22no—
1250C2×C4—22no—
1251C2×C4—28no—
1252C2×C4—22no—
1253C2×C4—22no—
1254C2×C4—22no—
1255C2×C4—22no—
1256C2×C4—22no—
1257C2×C4—22no—
1258C2×C4—22no—
1259C2×C4—22no—
1260C2×C4—28no—
1261C2×C4—28no—
1262C2×C4—28no—
1263C2×C4—44no—
1264C2×C4—114no—
1265C2×C4—114no—
1266C2×C4—114no—
1267C2×C4—114no—
1268C2×C4—114no—
1269C2×C4—2216no—
1270C2×C4—224no—
1271C2×C4—224no—
1272C2×C4—224no—
1273C2×C4—2216no—
1274C2×C4—224no—
1275C2×C4—224no—
1276C2×C4—448no—
1277C2×C4—448no—
1278C2×C4—448no—
1279C2×C4—448no—
1280C2×C4—448no—
1281C2×C4—448no—
1282C2×C4—448no—
1283C2×C4—448no—
1284C2×C4—448no—
1285C2×C4#41×D1114yes—
1286C2×C4C24×D1112yes—
1287C2×C4C24×D1112yes—
1288C2×C4C24×D1112yes—
1289C2×C4C24×D1112yes—
1290C2×C4C24×D1112yes—
1291C2×C4C24×D1112yes—
1292C2×C4C24×D1112yes—
1293C2×C4C24×D1112yes—
1294C2×C4C24×D1112yes—
1295C2×C4C24×D1112yes—
1296C2×C4C24×D1112yes—
1297C2×C4C24×D1112yes—
1298C22—22no—
1299C22—22no—
1300C22—28no—
1301C22—22no—
1302C22—22no—
1303C22—22no—
1304C22—22no—
1305C22—22no—
1306C22—22no—
1307C22—44no—
1308C22—44no—
1309C22—118no—
1310C22—224no—
1311C22—224no—
1312C22—2216no—
1313C22—224no—
1314C22—224no—
1315C22—224no—
1316C22—224no—
1317C22—224no—
1318C22—224no—
1319C22—4432no—
1320C22—448no—
1321C22—448no—
1322C22—8816no—
1323C22C2×#41×D1112yes—
1324C22C2×#6704214yes—
1325C22C2×#6704212yes—
1326C22#1062345312yes—
1327C22C25×D1111yescharacteristic
1328C4—22no—
1329C4—22no—
1330C4—22no—
1331C4—22no—
1332C4—22no—
1333C4—22no—
1334C4—22no—
1335C4—22no—
1336C4—22no—
1337C4—22no—
1338C4—22no—
1339C4—224no—
1340C4—224no—
1341C4—224no—
1342C4—224no—
1343C4—224no—
1344C4C2×#41×D1114yes—
1345C2—24no—
1346C2—42no—
1347C2—42no—
1348C2—228no—
1349C2—444no—
1350C2—444no—
1351C2#1308256014yesdirect product factor
1352C2C22×#41×D1111yescharacteristic
1353C2C22×#6704211yescharacteristic
1354C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#529C2
socleC23×C11C25
hypercenterC2×#529D11
hypocenterC11C2×#3513
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #13082560C2direct (N × H)
2. C2×#10623116C2semidirect
3. C2×#10623110C2semidirect
4. C2×#10623240C2semidirect
5. C2×#10623096C2semidirect
6. C2×#10623072C2semidirect
7. C2×#10623168C2semidirect
8. C2×#10623236C2semidirect
9. C2×#10623086C2semidirect
10. C2×#10623081C2semidirect
11. C2×#10623081C2semidirect
12. C2×#10623141C2semidirect
13. C2×D4×D44C2semidirect
14. C2×#10623065C2semidirect
15. C2×#10623066C2semidirect
16. C2×#10623223C2semidirect
17. C2×#10623209C2semidirect
18. C2×#10623010C2semidirect
19. C2×#10623187C2semidirect
20. C2×D11×#123C2semidirect
21. C2×#10623054C2semidirect
22. C2×#10623052C2semidirect
23. C22×C4×D44C2semidirect
24. C2×C11×#529C2semidirect
25. C22×#4341C22semidirect
30. C23×C4×D11C22semidirect
31. C11×#529C22semidirect
32. C2×C11×#126C22semidirect
33. C2×C11×#126C22semidirect
34. C2×C11×#125C22semidirect
35. C2×C11×#124C22semidirect
37. C2×C11×#123C22semidirect
38. C2×C11×C22⋊Q8C22semidirect
40. C2×C4×Q8×C11C22semidirect
42. C2×C4×D4×C11C22semidirect
43. C2×C4×D4×C11C22semidirect
44. C2×C11×#117C22semidirect
45. C2×C11×#117C22semidirect
46. C22×C42×C11C22semidirect
47. C2×#67000C22semidirect
48. C2×#66999C22semidirect
49. C2×#66992C22semidirect
50. C2×#66990C22semidirect
51. C2×#66990C22semidirect
55. C2×#66983C22semidirect
56. C2×#66983C22semidirect
57. C2×#66982C22semidirect
58. C2×C4×C22⋊D11C22semidirect
59. C22×(C2×D11)⋊C4C22semidirect
60. C2×#66979C22semidirect
61. C22×C4⋊Dic11C22semidirect
62. C22×C4⋊Dic11C22semidirect
63. C2×#66977C22semidirect
64. C2×#66977C22semidirect
65. #10623240C22semidirect
66. #10623236C22semidirect
67. #10623223C22semidirect
68. #10623209C22semidirect
69. #10623187C22semidirect
70. D11×#123C22semidirect
71. #10623168C22semidirect
72. #10623141C22semidirect
73. #10623116C22semidirect
74. #10623110C22semidirect
75. #10623096C22semidirect
76. #10623086C22semidirect
77. #10623081C22semidirect
78. #10623081C22semidirect
79. D4×D44C22semidirect
80. #10623072C22semidirect
81. #10623066C22semidirect
82. #10623065C22semidirect
83. #10623054C22semidirect
84. #10623052C22semidirect
85. C2×#66951C22semidirect
86. C2×#66951C22semidirect
87. C2×#66950C22semidirect
88. C2×#66949C22semidirect
89. C2×#66949C22semidirect
90. C2×#66949C22semidirect
92. C2×#66947C22semidirect
93. C2×#66947C22semidirect
94. C2×#66947C22semidirect
95. C2×#66947C22semidirect
96. C2×#66947C22semidirect
97. C2×#66947C22semidirect
98. C2×#66946C22semidirect
99. C2×#66946C22semidirect
100. C2×#66946C22semidirect
101. C2×#66945C22semidirect
102. C2×C4⋊C4×D11C22semidirect
103. C2×C4⋊C4×D11C22semidirect
104. C2×#66942C22semidirect
105. C2×#66939C22semidirect
106. C2×#66939C22semidirect
107. C2×#66938C22semidirect
108. C2×#66937C22semidirect
109. C2×#66937C22semidirect
110. C2×#66937C22semidirect
111. C2×#66937C22semidirect
112. C2×#66936C22semidirect
113. C2×#66936C22semidirect
116. C2×(C22⋊D11)⋊C4C22semidirect
117. C2×(C22⋊D11)⋊C4C22semidirect
118. C2×(C22⋊D11)⋊C4C22semidirect
119. C2×C22⋊C4×D11C22semidirect
120. C2×C22⋊C4×D11C22semidirect
121. C2×C22⋊C4×D11C22semidirect
122. C2×C22⋊C4×D11C22semidirect
123. C2×#66932C22semidirect
124. C2×#66930C22semidirect
125. #10623010C22semidirect
126. C2×#66929C22semidirect
127. C2×#66928C22semidirect
128. C2×#66928C22semidirect
134. C2×C4×D44C22semidirect
135. C2×C4×D44C22semidirect
136. C2×C4×D44C22semidirect
137. C2×C4×D44C22semidirect
138. C2×C4×D44C22semidirect
139. C2×C4×D44C22semidirect
140. C2×C4×D44C22semidirect
141. C2×#66925C22semidirect
142. C2×#66923C22semidirect
143. C2×#66923C22semidirect
144. C2×#66922C22semidirect
145. C2×C4×Dic22C22semidirect
146. C2×C4×Dic22C22semidirect
166. C2×#4341C23semidirect
192. C22×C4×D11C23semidirect
195. C11×#126C23semidirect
196. C11×#126C23semidirect
197. C11×#125C23semidirect
198. C11×#124C23semidirect
200. C11×#123C23semidirect
201. C11×C22⋊Q8C23semidirect
203. C4×Q8×C11C23semidirect
205. C4×D4×C11C23semidirect
206. C4×D4×C11C23semidirect
207. C11×#117C23semidirect
208. C11×#117C23semidirect
235. C2×C42×C11C23semidirect
239. #67000C23semidirect
240. #66999C23semidirect
241. #66992C23semidirect
242. #66990C23semidirect
243. #66990C23semidirect
247. #66983C23semidirect
248. #66983C23semidirect
249. #66982C23semidirect
250. C4×C22⋊D11C23semidirect
267. C2×(C2×D11)⋊C4C23semidirect
268. #66979C23semidirect
276. C2×C4⋊Dic11C23semidirect
277. C2×C4⋊Dic11C23semidirect
278. #66977C23semidirect
279. #66977C23semidirect
291. #66951C23semidirect
292. #66951C23semidirect
293. #66950C23semidirect
294. #66949C23semidirect
295. #66949C23semidirect
296. #66949C23semidirect
298. #66947C23semidirect
299. #66947C23semidirect
300. #66947C23semidirect
301. #66947C23semidirect
302. #66947C23semidirect
303. #66947C23semidirect
304. #66946C23semidirect
305. #66946C23semidirect
306. #66946C23semidirect
307. #66945C23semidirect
308. C4⋊C4×D11C23semidirect
309. C4⋊C4×D11C23semidirect
310. #66942C23semidirect
311. #66939C23semidirect
312. #66939C23semidirect
313. #66938C23semidirect
314. #66937C23semidirect
315. #66937C23semidirect
316. #66937C23semidirect
317. #66937C23semidirect
318. #66936C23semidirect
319. #66936C23semidirect
322. (C22⋊D11)⋊C4C23semidirect
323. (C22⋊D11)⋊C4C23semidirect
324. (C22⋊D11)⋊C4C23semidirect
325. C22⋊C4×D11C23semidirect
326. C22⋊C4×D11C23semidirect
327. C22⋊C4×D11C23semidirect
328. C22⋊C4×D11C23semidirect
329. #66932C23semidirect
330. #66930C23semidirect
331. #66929C23semidirect
332. #66928C23semidirect
333. #66928C23semidirect
339. C4×D44C23semidirect
340. C4×D44C23semidirect
341. C4×D44C23semidirect
342. C4×D44C23semidirect
343. C4×D44C23semidirect
344. C4×D44C23semidirect
345. #66925C23semidirect
346. #66923C23semidirect
347. #66923C23semidirect
348. #66922C23semidirect
349. C4×Dic22C23semidirect
350. C4×Dic22C23semidirect
426. C2×D44#41semidirect
538. C2×#529D11semidirect
633. D44C2×#41semidirect
670. #529C2×D11semidirect
675. C2×#126C2×D11semidirect
676. C2×#126C2×D11semidirect
680. C2×#125C2×D11semidirect
685. C2×#124C2×D11semidirect
701. C2×#123C2×D11semidirect
709. C2×C22⋊Q8C2×D11semidirect
729. C2×C4×Q8C2×D11semidirect
749. C2×C4×D4C2×D11semidirect
750. C2×C4×D4C2×D11semidirect
755. C2×#117C2×D11semidirect
756. C2×#117C2×D11semidirect
766. C22×C42C2×D11semidirect
868. #126C22×D11semidirect
869. #126C22×D11semidirect
873. #125C22×D11semidirect
878. #124C22×D11semidirect
892. #123C22×D11semidirect
900. C22⋊Q8C22×D11semidirect
918. C4×Q8C22×D11semidirect
937. C4×D4C22×D11semidirect
938. C4×D4C22×D11semidirect
943. #117C22×D11semidirect
944. #117C22×D11semidirect
1017. C2×C42C22×D11semidirect
1021. C2×C11#3513semidirect
1196. C11C2×#3513semidirect
1351. C2#13082560direct (N × H)

Maximal subgroups

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

subgroupindex
#130825602
C2×#106231162
C2×#106231102
C2×#106232402
C2×#106230962
C2×#106230722
C2×#106231682
C2×#106232362
C2×#106230862
C2×#106230812
C2×#106231412
C2×D4×D442
C2×#106230652
C2×#106230662
C2×#106232232
C2×#106232092
C2×#106230102
C2×#106231872
C2×D11×#1232
C2×#106230542
C2×#106230522
C22×C4×D442
C2×C11×#5292
C2×#351311