Finite Group Databasebeta

← C2×#13082769 #15660891

Subgroups — C2×#13082769 #15660891

Order 2816.

9542 conjugacy classes of subgroups.

The subgroup lattice has 1336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082769C2132yesmaximal, direct product factor
2C2×#10623125C211yesmaximal, characteristic, complemented
3C2×#10623126C212yesmaximal, complemented
4C2×#10623190C211yesmaximal, characteristic, complemented
5C2×#10623236C212yesmaximal, complemented
6C2×#10623143C212yesmaximal, complemented
7C2×#10623185C212yesmaximal, complemented
8C2×#10623141C212yesmaximal, complemented
9C2×#10623248C211yesmaximal, characteristic, complemented
10C2×#10623140C212yesmaximal, complemented
11C2×#10623235C212yesmaximal, complemented
12C2×#10623188C212yesmaximal, complemented
13C2×#10623144C212yesmaximal, complemented
14C2×#10623138C212yesmaximal, complemented
15C2×#10623246C211yesmaximal, characteristic, complemented
16C2×#10623184C211yesmaximal, characteristic, complemented
17C2×#10623136C212yesmaximal, complemented
18C2×D11×#120C212yesmaximal, complemented
19C2×D11×#120C211yesmaximal, characteristic, complemented
20C2×C11×#560C211yesmaximal, characteristic, complemented
21C25×D11C2211yescharacteristic, complemented
22C22×#4341C2211yescharacteristic, complemented
23C22×D4×D11C2212yescomplemented
24C22×D4×D11C2211yescharacteristic, complemented
25C22×D4×D11C2212yescomplemented
26C22×D4×D11C2212yescomplemented
27C22×D4×D11C2212yescomplemented
28C22×D4×D11C2212yescomplemented
29C22×#4339C2212yescomplemented
30C23×D44C2211yescharacteristic, complemented
31C11×#560C22116yescomplemented
32C2×C11×#127C2211yescharacteristic, complemented
33C2×C11×#126C2212yescomplemented
34C2×C11×#123C2211yescharacteristic, complemented
35C2×C11×#123C2212yescomplemented
36C2×C11×#121C2212yescomplemented
37C2×C11×#121C2212yescomplemented
38C2×C11×#121C2212yescomplemented
39C2×C11×#120C2212yescomplemented
40C2×C11×#120C2211yescharacteristic, complemented
41C2×#67006C2211yescharacteristic, complemented
42C2×#67006C2212yescomplemented
43C2×#66993C2211yescharacteristic, complemented
44C2×#66993C2212yescomplemented
45C2×#66992C2212yescomplemented
46C2×#66992C2212yescomplemented
47C2×#66992C2212yescomplemented
48C2×#66991C2212yescomplemented
49C2×#66991C2212yescomplemented
50C2×#66991C2212yescomplemented
51C2×#66990C2211yescharacteristic
52C2×#66990C2212yescomplemented
53C2×#66990C2212yescomplemented
54C2×#66990C2212yescomplemented
55C2×#66990C2212yescomplemented
56C2×#66990C2212yescomplemented
57C2×#66990C2212yescomplemented
58C2×#66990C2212yescomplemented
59C2×#66990C2211yescharacteristic, complemented
60C2×#66989C2211yescharacteristic, complemented
61C2×#66989C2212yescomplemented
62C2×#66988C2212yescomplemented
63C2×#66983C2212yescomplemented
64C2×#66982C2211yescharacteristic, complemented
65C2×C4×C22⋊D11C2212yescomplemented
66C2×C4×C22⋊D11C2212yescomplemented
67C22×(C2×D11)⋊C4C2212yescomplemented
68#10623248C22116yescomplemented
69#10623246C22116yescomplemented
70#10623236C22132yescomplemented
71#10623235C22132yescomplemented
72#10623190C22116yescomplemented
73#10623188C22132yescomplemented
74#10623185C22132yescomplemented
75#10623184C22116yescomplemented
76#10623144C22132yescomplemented
77#10623143C22132yescomplemented
78#10623141C22132yescomplemented
79#10623140C22132yescomplemented
80#10623138C22132yescomplemented
81#10623136C22132yescomplemented
82#10623126C22132yescomplemented
83#10623125C22116yescomplemented
84D11×#120C22132yescomplemented
85D11×#120C22116yescomplemented
86C2×#66951C2212yescomplemented
87C2×#66950C2212yescomplemented
88C2×#66949C2212yescomplemented
89C2×#66949C2212yescomplemented
90C2×#66948C2212yescomplemented
91C2×#66948C2212yescomplemented
92C2×#66947C2212yescomplemented
93C2×#66947C2212yescomplemented
94C2×#66947C2212yescomplemented
95C2×#66946C2212yescomplemented
96C2×#66946C2212yescomplemented
97C2×#66945C2212yescomplemented
98C2×#66938C2212yescomplemented
99C2×#66938C2212yescomplemented
100C2×#66938C2212yescomplemented
101C2×#66938C2212yescomplemented
102C2×#66937C2212yescomplemented
103C2×#66937C2212yescomplemented
104C2×#66937C2212yescomplemented
105C2×#66936C2212yescomplemented
106C2×#66936C2212yescomplemented
107C2×#66936C2212yescomplemented
108C2×#66935C2212yes—
109C2×#66935C2212yescomplemented
110C2×#66935C2212yescomplemented
111C2×#66935C2212yescomplemented
112C2×#66935C2211yescharacteristic, complemented
113C2×#66935C2212yescomplemented
114C2×#66935C2211yescharacteristic, complemented
115C2×(C22⋊D11)⋊C4C2212yescomplemented
116C2×C22⋊C4×D11C2212yescomplemented
117C2×C22⋊C4×D11C2212yescomplemented
118C2×C22⋊C4×D11C2212yescomplemented
119C2×C22⋊C4×D11C2212yescomplemented
120C2×C22⋊C4×D11C2211yescharacteristic, complemented
121C2×C22⋊C4×D11C2211yescharacteristic, complemented
122C2×#66932C2212yescomplemented
123C2×#66932C2212yescomplemented
124C2×#66928C2211yescharacteristic, complemented
125C2×C4×D44C2212yescomplemented
126C2×#66925C2211yescharacteristic, complemented
127C25×C11C2311yescharacteristic
128C24×D11—44no—
129C24×D11—48no—
130C24×D11C2312yes—
131C24×D11C2311yescharacteristic
132C24×D11C2312yes—
133C24×D11C2311yescharacteristic
134C24×D11C2311yescharacteristic
135C24×D11C2312yes—
136C24×D11C2318yescomplemented
137C24×D11C2311yescharacteristic, complemented
138C22×D4×C11C2312yes—
139C22×D4×C11C2311yescharacteristic
140C22×D4×C11C2312yes—
141C22×D4×C11C2312yes—
142C22×D4×C11C2312yes—
143C22×D4×C11C2311yescharacteristic, complemented
144C22×D4×C11C2312yescomplemented
145C23×C4×C11C2312yescomplemented
146C23×C4×C11C2311yescharacteristic, complemented
147C22×C22⋊D11C2312yes—
148C22×C22⋊D11C2312yes—
149C22×C22⋊D11C2312yes—
150C22×C22⋊D11C2312yes—
151C22×C22⋊D11C2312yes—
152C22×C22⋊D11C2311yescharacteristic
153C22×C22⋊D11C2312yes—
154C22×C22⋊D11C2312yes—
155C22×C22⋊D11C2311yescharacteristic
156C22×C22⋊D11C2312yes—
157C22×C22⋊D11C2312yescomplemented
158C22×C22⋊D11C2312yescomplemented
159C23×Dic11C2312yescomplemented
160C2×#4341—44no—
161C2×#4341C2318yescomplemented
162C2×D4×D11—48no—
163C2×D4×D11—44no—
164C2×D4×D11—48no—
165C2×D4×D11—48no—
166C2×D4×D11—48no—
167C2×D4×D11—48no—
168C2×D4×D11C2318yescomplemented
169C2×D4×D11C23116yescomplemented
170C2×D4×D11C23116yescomplemented
171C2×D4×D11C23116yescomplemented
172C2×D4×D11C23116yescomplemented
173C2×D4×D11C23116yescomplemented
174C2×#4339—48no—
175C2×#4339C23116yescomplemented
176C22×D44—44no—
177C22×D44C2312yes—
178C22×D44C2312yes—
179C22×D44C2312yes—
180C22×D44C2311yescharacteristic
181C22×D44C2312yes—
182C22×D44C2318yescomplemented
183C22×D44C2312yescomplemented
184C22×C4×D11C2311yescharacteristic
185C22×C4×D11C2312yes—
186C22×C4×D11C2312yes—
187C22×C4×D11C2312yes—
188C22×C4×D11C2312yes—
189C22×C4×D11C2312yescomplemented
190C22×C4×D11C2312yescomplemented
191C22×Dic22C2311yescharacteristic, complemented
192C22×Dic22C2312yescomplemented
193C11×#127C2318yescomplemented
194C11×#126C23116yescomplemented
195C11×#123C2318yescomplemented
196C11×#123C23116yescomplemented
197C11×#121C23116yescomplemented
198C11×#121C23116yescomplemented
199C11×#121C23116yescomplemented
200C11×#120C2318yescomplemented
201C11×#120C23116yescomplemented
202C2×C11×C4⋊C4C2312yescomplemented
203C2×C11×C4⋊C4C2312yescomplemented
204C2×C11×C4⋊C4C2312yescomplemented
205C2×C11×C22⋊C4C2312yes—
206C2×C11×C22⋊C4C2312yes—
207C2×C11×C22⋊C4C2312yes—
208C2×C11×C22⋊C4C2312yes—
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic, complemented
211C2×C11×C22⋊C4C2312yescomplemented
212C2×C42×C11C2311yescharacteristic, complemented
213#67006C23116yescomplemented
214#67006C2318yescomplemented
215C2×C22⋊Dic11C2311yescharacteristic
216C2×C22⋊Dic11C2312yes—
217C2×C22⋊Dic11C2312yes—
218C2×C22⋊Dic11C2312yes—
219C2×C22⋊Dic11C2312yes—
220C2×C22⋊Dic11C2311yescharacteristic, complemented
221C2×C22⋊Dic11C2312yescomplemented
222C2×C22⋊Dic11C2312yescomplemented
223#66993C2318yescomplemented
224#66993C23116yescomplemented
225#66992C23116yescomplemented
226#66992C23116yescomplemented
227#66992C23116yescomplemented
228#66991C23116yescomplemented
229#66991C23116yescomplemented
230#66991C23116yescomplemented
231#66990C2318yes—
232#66990C23116yescomplemented
233#66990C23116yescomplemented
234#66990C23116yescomplemented
235#66990C23116yescomplemented
236#66990C23116yescomplemented
237#66990C23116yescomplemented
238#66990C2318yescomplemented
239#66990C23116yescomplemented
240#66989C2318yescomplemented
241#66989C23116yescomplemented
242#66988C23116yescomplemented
243#66983C23116yescomplemented
244#66982C2318yescomplemented
245C4×C22⋊D11C23116yescomplemented
246C4×C22⋊D11C23116yescomplemented
247C2×(C2×D11)⋊C4C2312yes—
248C2×(C2×D11)⋊C4C2312yes—
249C2×(C2×D11)⋊C4C2312yes—
250C2×(C2×D11)⋊C4C2312yes—
251C2×(C2×D11)⋊C4C2312yes—
252C2×(C2×D11)⋊C4C2312yes—
253C2×(C2×D11)⋊C4C2312yes—
254C2×(C2×D11)⋊C4C2312yes—
255C2×(C2×D11)⋊C4C2312yes—
256C2×(C2×D11)⋊C4C23116yescomplemented
257C2×(C2×D11)⋊C4C2312yescomplemented
258C2×(C2×D11)⋊C4C2312yescomplemented
259C2×(C2×D11)⋊C4C2312yescomplemented
260C2×(C2×D11)⋊C4C2312yescomplemented
261C2×(C2×D11)⋊C4C2312yescomplemented
262C2×C4⋊Dic11C2312yescomplemented
263C2×C4⋊Dic11C2312yescomplemented
264C2×Dic11⋊C4C2312yescomplemented
265C2×Dic11⋊C4C2312yescomplemented
266C2×Dic11⋊C4C2312yescomplemented
267C2×Dic11⋊C4C2312yescomplemented
268C2×C4×Dic11C2311yescharacteristic, complemented
269C2×C4×Dic11C2312yescomplemented
270C2×C4×Dic11C2312yescomplemented
271#66951C23116yescomplemented
272#66950C23116yescomplemented
273#66949C23116yescomplemented
274#66949C23116yescomplemented
275#66948C23116yescomplemented
276#66948C23116yescomplemented
277#66947C23116yescomplemented
278#66947C23116yescomplemented
279#66947C23116yescomplemented
280#66946C23116yescomplemented
281#66946C23116yescomplemented
282#66945C23116yescomplemented
283#66938C23116yescomplemented
284#66938C23116yescomplemented
285#66938C23116yescomplemented
286#66938C23116yescomplemented
287#66937C23116yescomplemented
288#66937C23116yescomplemented
289#66937C23116yescomplemented
290#66936C23116yescomplemented
291#66936C23116yescomplemented
292#66936C23116yescomplemented
293#66935C23116yes—
294#66935C23116yescomplemented
295#66935C23116yescomplemented
296#66935C23116yescomplemented
297#66935C2318yescomplemented
298#66935C23116yescomplemented
299#66935C2318yescomplemented
300(C22⋊D11)⋊C4C23116yescomplemented
301C22⋊C4×D11C23116yescomplemented
302C22⋊C4×D11C23116yescomplemented
303C22⋊C4×D11C23116yescomplemented
304C22⋊C4×D11C23116yescomplemented
305C22⋊C4×D11C2318yescomplemented
306C22⋊C4×D11C2318yescomplemented
307#66932C23116yescomplemented
308#66932C23116yescomplemented
309#66928C2318yescomplemented
310C4×D44C23116yescomplemented
311#66925C2318yescomplemented
312C2×#3532—111nomaximal, Sylow
313C24×C11—42no—
314C24×C11—44no—
315C24×C11C2411yescharacteristic
316C24×C11C2412yes—
317C24×C11C2411yescharacteristic
318C24×C11C2412yes—
319C24×C11C2414yes—
320C23×D11—28no—
321C23×D11—28no—
322C23×D11—28no—
323C23×D11—28no—
324C23×D11—24no—
325C23×D11—24no—
326C23×D11—28no—
327C23×D11—416no—
328C23×D11—432no—
329C23×D11—44no—
330C23×D11—42no—
331C23×D11—44no—
332C23×D11—44no—
333C23×D11—44no—
334C23×D11—42no—
335C23×D11—44no—
336C23×D11—44no—
337C23×D11—44no—
338C23×D11—44no—
339C23×D11—464no—
340C23×D11C2411yescharacteristic
341C23×D11C2412yes—
342C23×D11C2411yescharacteristic
343C23×D11C2418yes—
344C23×D11C2414yes—
345C23×D11C2411yescharacteristic
346C23×D11C2412yes—
347C23×D11C2418yes—
348C23×D11C2414yes—
349C23×D11C2414yes—
350C23×D11C2418yes—
351C23×D11C2414yescomplemented
352C2×D4×C11—42no—
353C2×D4×C11—44no—
354C2×D4×C11—44no—
355C2×D4×C11—44no—
356C2×D4×C11—44no—
357C2×D4×C11—44no—
358C2×D4×C11—42no—
359C2×D4×C11C2418yes—
360C2×D4×C11C2414yes—
361C2×D4×C11C2418yes—
362C2×D4×C11C2418yes—
363C2×D4×C11C2418yes—
364C2×D4×C11C2414yescomplemented
365C2×D4×C11C2418yescomplemented
366C22×C4×C11—42no—
367C22×C4×C11—44no—
368C22×C4×C11C2412yes—
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2412yes—
371C22×C4×C11C2412yes—
372C22×C4×C11C2412yes—
373C22×C4×C11C2418yescomplemented
374C22×C4×C11C2414yescomplemented
375C2×C22⋊D11—28no—
376C2×C22⋊D11—28no—
377C2×C22⋊D11—28no—
378C2×C22⋊D11—44no—
379C2×C22⋊D11—44no—
380C2×C22⋊D11—44no—
381C2×C22⋊D11—44no—
382C2×C22⋊D11—44no—
383C2×C22⋊D11—42no—
384C2×C22⋊D11—44no—
385C2×C22⋊D11—42no—
386C2×C22⋊D11—44no—
387C2×C22⋊D11C2418yes—
388C2×C22⋊D11C2418yes—
389C2×C22⋊D11C2418yes—
390C2×C22⋊D11C2418yes—
391C2×C22⋊D11C2418yes—
392C2×C22⋊D11C2414yes—
393C2×C22⋊D11C2418yes—
394C2×C22⋊D11C2418yes—
395C2×C22⋊D11C2414yes—
396C2×C22⋊D11C2418yes—
397C2×C22⋊D11C2418yescomplemented
398C2×C22⋊D11C2418yescomplemented
399C22×Dic11—44no—
400C22×Dic11C2412yes—
401C22×Dic11C2412yes—
402C22×Dic11C2412yes—
403C22×Dic11C2412yes—
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2418yescomplemented
406#4341—416no—
407D4×D11—416no—
408D4×D11—432no—
409D4×D11—432no—
410D4×D11—432no—
411D4×D11—432no—
412D4×D11—432no—
413#4339—432no—
414C2×D44—28no—
415C2×D44—28no—
416C2×D44—28no—
417C2×D44—44no—
418C2×D44—42no—
419C2×D44—44no—
420C2×D44—416no—
421C2×D44C2418yes—
422C2×D44C2418yes—
423C2×D44C2418yes—
424C2×D44C2414yes—
425C2×D44C2418yes—
426C2×D44C2418yescomplemented
427C2×C4×D11—28no—
428C2×C4×D11—24no—
429C2×C4×D11—44no—
430C2×C4×D11—44no—
431C2×C4×D11—44no—
432C2×C4×D11—44no—
433C2×C4×D11—44no—
434C2×C4×D11C2414yes—
435C2×C4×D11C2418yes—
436C2×C4×D11C2418yes—
437C2×C4×D11C2418yes—
438C2×C4×D11C2418yes—
439C2×C4×D11C2418yescomplemented
440C2×C4×D11C2418yescomplemented
441C2×Dic22—44no—
442C2×Dic22—42no—
443C2×Dic22C2414yescomplemented
444C2×Dic22C2418yescomplemented
445C11×C4⋊C4C2418yescomplemented
446C11×C4⋊C4C2418yescomplemented
447C11×C4⋊C4C2418yescomplemented
448C11×C22⋊C4C2418yes—
449C11×C22⋊C4C2418yes—
450C11×C22⋊C4C2418yes—
451C11×C22⋊C4C2418yes—
452C11×C22⋊C4C2414yes—
453C11×C22⋊C4C2414yescomplemented
454C11×C22⋊C4C2418yescomplemented
455C42×C11C2414yescomplemented
456C22⋊Dic11C2414yes—
457C22⋊Dic11C2418yes—
458C22⋊Dic11C2418yes—
459C22⋊Dic11C2418yes—
460C22⋊Dic11C2418yes—
461C22⋊Dic11C2414yescomplemented
462C22⋊Dic11C2418yescomplemented
463C22⋊Dic11C2418yescomplemented
464(C2×D11)⋊C4C2418yes—
465(C2×D11)⋊C4C2418yes—
466(C2×D11)⋊C4C2418yes—
467(C2×D11)⋊C4C2418yes—
468(C2×D11)⋊C4C2418yes—
469(C2×D11)⋊C4C2418yes—
470(C2×D11)⋊C4C2418yes—
471(C2×D11)⋊C4C2418yes—
472(C2×D11)⋊C4C2418yes—
473(C2×D11)⋊C4C2418yescomplemented
474(C2×D11)⋊C4C2418yescomplemented
475(C2×D11)⋊C4C2418yescomplemented
476(C2×D11)⋊C4C2418yescomplemented
477(C2×D11)⋊C4C2418yescomplemented
478C4⋊Dic11C2418yescomplemented
479C4⋊Dic11C2418yescomplemented
480Dic11⋊C4C2418yescomplemented
481Dic11⋊C4C2418yescomplemented
482Dic11⋊C4C2418yescomplemented
483Dic11⋊C4C2418yescomplemented
484C4×Dic11C2414yescomplemented
485C4×Dic11C2418yescomplemented
486C4×Dic11C2418yescomplemented
487#3532—1132no—
488C2×H(3,𝔽4)—111no—
489C2×#560—112no—
490C2×#560D1111yescharacteristic, complemented
491C2×#551—112no—
492C2×#551—111no—
493C2×#546—112no—
494C2×#546—112no—
495C2×#546—112no—
496C2×D42—111no—
497C2×D42—112no—
498C2×#538—112no—
499C2×#538—112no—
500C2×#538—112no—
501C2×#535—111no—
502C2×#535—112no—
503C2×#534—111no—
504C2×#534—112no—
505C22×#120—111no—
506C22×#120—112no—
507C23×C11—24no—
508C23×C11—24no—
509C23×C11—24no—
510C23×C11—24no—
511C23×C11—22no—
512C23×C11—24no—
513C23×C11—22no—
514C23×C11—24no—
515C23×C11—24no—
516C23×C11—24no—
517C23×C11—48no—
518C23×C11—44no—
519C23×C11—416no—
520C23×C11C2512yes—
521C23×C11C2514yes—
522C23×C11C2512yes—
523C23×C11C2514yes—
524C23×C11C2511yescharacteristic
525C22×D11—24no—
526C22×D11—24no—
527C22×D11—24no—
528C22×D11—24no—
529C22×D11—24no—
530C22×D11—24no—
531C22×D11—24no—
532C22×D11—22no—
533C22×D11—22no—
534C22×D11—24no—
535C22×D11—216no—
536C22×D11—216no—
537C22×D11—216no—
538C22×D11—28no—
539C22×D11—216no—
540C22×D11—28no—
541C22×D11—216no—
542C22×D11—48no—
543C22×D11—44no—
544C22×D11—48no—
545C22×D11—48no—
546C22×D11—48no—
547C22×D11—432no—
548C22×D11—416no—
549C22×D11—44no—
550C22×D11—48no—
551C22×D11—48no—
552C22×D11—48no—
553C22×D11—48no—
554C22×D11—416no—
555C22×D11—432no—
556C22×D11—4128no—
557C22×D11—88no—
558C22×D11—816no—
559C22×D11—88no—
560C22×D11H(5,𝔽2)18yes—
561C22×D11H(5,𝔽2)14yes—
562C22×D11C2512yes—
563C22×D11C2514yes—
564C22×D11C2512yes—
565C22×D11C2512yes—
566C22×D11C2514yes—
567D4×C11—48no—
568D4×C11—48no—
569D4×C11—48no—
570D4×C11—44no—
571D4×C11—48no—
572D4×C11—48no—
573D4×C11—44no—
574C2×C4×C11—22no—
575C2×C4×C11—24no—
576C2×C4×C11—24no—
577C2×C4×C11—24no—
578C2×C4×C11—24no—
579C2×C4×C11—44no—
580C2×C4×C11—48no—
581C2×C4×C11C2514yes—
582C2×C4×C11C2512yes—
583C2×C4×C11C2514yes—
584C2×C4×C11C2514yes—
585C2×C4×C11C2514yes—
586C22⋊D11—216no—
587C22⋊D11—216no—
588C22⋊D11—216no—
589C22⋊D11—48no—
590C22⋊D11—48no—
591C22⋊D11—48no—
592C22⋊D11—48no—
593C22⋊D11—48no—
594C22⋊D11—44no—
595C22⋊D11—44no—
596C22⋊D11—48no—
597C22⋊D11—48no—
598C2×Dic11—24no—
599C2×Dic11—24no—
600C2×Dic11—24no—
601C2×Dic11—22no—
602C2×Dic11—24no—
603C2×Dic11—48no—
604C2×Dic11C2514yes—
605C2×Dic11C2514yes—
606C2×Dic11C2514yes—
607C2×Dic11C2514yes—
608C2×Dic11C2512yes—
609D44—216no—
610D44—216no—
611D44—216no—
612D44—48no—
613D44—48no—
614D44—44no—
615C4×D11—216no—
616C4×D11—28no—
617C4×D11—48no—
618C4×D11—48no—
619C4×D11—48no—
620C4×D11—48no—
621C4×D11—48no—
622Dic22—48no—
623Dic22—44no—
624C26—111no—
625C22×#41—111no—
626C22×#41—112no—
627C23×D4—111no—
628C23×D4—112no—
629C23×D4—112no—
630C23×D4—112no—
631C23×D4—112no—
632C23×D4—112no—
633C23×D4—111no—
634H(3,𝔽4)—1116no—
635#560—1132no—
636#560C2×D11116yescomplemented
637#551—1132no—
638#551—1116no—
639#546—1132no—
640#546—1132no—
641#546—1132no—
642D42—1116no—
643D42—1132no—
644#538—1132no—
645#538—1132no—
646#538—1132no—
647#535—1116no—
648#535—1132no—
649#534—1116no—
650#534—1132no—
651C2×#127—112no—
652C2×#127—111no—
653C2×#127C2×D1111yescharacteristic, complemented
654C2×#126—112no—
655C2×#126—112no—
656C2×#126—112no—
657C2×#126C2×D1112yescomplemented
658C2×#124—111no—
659C2×#124—112no—
660C2×#124—112no—
661C2×#124—112no—
662C2×#124—112no—
663C2×#124—112no—
664C2×#124—111no—
665C2×#123—112no—
666C2×#123—111no—
667C2×#123—112no—
668C2×#123—112no—
669C2×#123—112no—
670C2×#123—112no—
671C2×#123—112no—
672C2×#123—112no—
673C2×#123C2×D1111yescharacteristic, complemented
674C2×#123C2×D1112yescomplemented
675C2×C22⋊Q8—112no—
676C2×C22⋊Q8—112no—
677C2×C22⋊Q8—112no—
678C2×#121—112no—
679C2×#121—112no—
680C2×#121—112no—
681C2×#121—112no—
682C2×#121—112no—
683C2×#121—112no—
684C2×#121—112no—
685C2×#121—112no—
686C2×#121—112no—
687C2×#121—112no—
688C2×#121—112no—
689C2×#121—112no—
690C2×#121C2×D1112yescomplemented
691C2×#121C2×D1112yescomplemented
692C2×#121C2×D1112yescomplemented
693C2×#120—111no—
694C2×#120—112no—
695C2×#120—111no—
696C2×#120—112no—
697C2×#120—112no—
698C2×#120—112no—
699C2×#120—112no—
700C2×#120—111no—
701C2×#120—112no—
702C2×#120—112no—
703C2×#120—112no—
704C2×#120—1116no—
705C2×#120—1132no—
706C2×#120—112no—
707C2×#120—112no—
708C2×#120—112no—
709C2×#120—112no—
710C2×#120—111no—
711C2×#120—111no—
712C2×#120—112no—
713C2×#120C2×D1112yescomplemented
714C2×#120C2×D1111yescharacteristic, complemented
715C2×C4×D4—112no—
716C2×C4×D4—112no—
717C2×C4×D4—112no—
718C2×C4×D4—112no—
719C2×C4×D4—112no—
720C2×C4×D4—112no—
721C2×#117—112no—
722C2×#117—111no—
723C22×C22⋊C4—112no—
724C22×C22⋊C4—111no—
725C22×C22⋊C4—112no—
726C22×C22⋊C4—112no—
727C22×C22⋊C4—112no—
728C22×C22⋊C4—112no—
729C22×C22⋊C4—111no—
730C22×C11—22no—
731C22×C11—24no—
732C22×C11—24no—
733C22×C11—24no—
734C22×C11—24no—
735C22×C11—24no—
736C22×C11—24no—
737C22×C11—24no—
738C22×C11—24no—
739C22×C11—22no—
740C22×C11—416no—
741C22×C11—48no—
742C22×C11—44no—
743C22×C11—44no—
744C22×C11—48no—
745C22×C11C2×H(5,𝔽2)12yes—
746C22×C11C2×H(5,𝔽2)14yes—
747C22×C11C2611yescharacteristic
748C2×D11—24no—
749C2×D11—24no—
750C2×D11—24no—
751C2×D11—28no—
752C2×D11—216no—
753C2×D11—24no—
754C2×D11—22no—
755C2×D11—24no—
756C2×D11—22no—
757C2×D11—24no—
758C2×D11—24no—
759C2×D11—24no—
760C2×D11—432no—
761C2×D11—416no—
762C2×D11—416no—
763C2×D11—432no—
764C2×D11—44no—
765C2×D11—44no—
766C2×D11—48no—
767C2×D11—88no—
768C2×D11—816no—
769C2×D11—88no—
770C2×D11C2×H(5,𝔽2)14yes—
771C2×D11C2×H(5,𝔽2)18yes—
772C4×C11—24no—
773C4×C11—24no—
774C4×C11—24no—
775C4×C11—22no—
776C4×C11—24no—
777Dic11—24no—
778Dic11—24no—
779Dic11—24no—
780Dic11—22no—
781Dic11—24no—
782C25—111no—
783C25—112no—
784C25—112no—
785C25—111no—
786C25—112no—
787C25—111no—
788C25—118no—
789C25—111no—
790C25—444no—
791C25—448no—
792C25C22×D1111yescharacteristic
793C2×#41—118no—
794C2×#41—1116no—
795C2×#41—448no—
796C2×#41—444no—
797C22×Q8—112no—
798C22×Q8—111no—
799C22×D4—112no—
800C22×D4—112no—
801C22×D4—112no—
802C22×D4—111no—
803C22×D4—112no—
804C22×D4—112no—
805C22×D4—112no—
806C22×D4—111no—
807C22×D4—112no—
808C22×D4—112no—
809C22×D4—112no—
810C22×D4—112no—
811C22×D4—118no—
812C22×D4—1116no—
813C22×D4—1116no—
814C22×D4—1116no—
815C22×D4—1116no—
816C22×D4—1116no—
817C22×D4—112no—
818C22×D4—112no—
819C22×D4—112no—
820C22×D4—112no—
821C22×D4—111no—
822C22×D4—112no—
823C22×D4—118no—
824C22×D4—444no—
825C22×D4—448no—
826C22×D4—444no—
827C22×D4—448no—
828C22×D4—448no—
829C22×D4—448no—
830C22×D4—448no—
831C22×D4C22×D1112yes—
832C22×D4C22×D1111yescharacteristic
833C22×D4C22×D1112yes—
834C22×D4C22×D1112yes—
835C22×D4C22×D1112yes—
836C22×D4C22×D1111yescharacteristic, complemented
837C22×D4C22×D1112yescomplemented
838C23×C4—112no—
839C23×C4—112no—
840C23×C4—111no—
841C23×C4—112no—
842C23×C4—112no—
843C23×C4—112no—
844C23×C4—112no—
845C23×C4—112no—
846C23×C4C22×D1112yescomplemented
847C23×C4C22×D1111yescharacteristic, complemented
848#127—1116no—
849#127—118no—
850#127C22×D1118yescomplemented
851#126—1116no—
852#126—1116no—
853#126—1116no—
854#126C22×D11116yescomplemented
855#124—118no—
856#124—1116no—
857#124—1116no—
858#124—1116no—
859#124—1116no—
860#124—1116no—
861#124—118no—
862#123—1116no—
863#123—118no—
864#123—1116no—
865#123—1116no—
866#123—1116no—
867#123—1116no—
868#123—1116no—
869#123—1116no—
870#123C22×D1118yescomplemented
871#123C22×D11116yescomplemented
872C22⋊Q8—1116no—
873C22⋊Q8—1116no—
874C22⋊Q8—1116no—
875#121—1116no—
876#121—1116no—
877#121—1116no—
878#121—1116no—
879#121—1116no—
880#121—1116no—
881#121—1116no—
882#121—1116no—
883#121—1116no—
884#121—1116no—
885#121—1116no—
886#121—1116no—
887#121C22×D11116yescomplemented
888#121C22×D11116yescomplemented
889#121C22×D11116yescomplemented
890#120—118no—
891#120—1116no—
892#120—1116no—
893#120—1116no—
894#120—1116no—
895#120—118no—
896#120—1116no—
897#120—118no—
898#120—1116no—
899#120—1116no—
900#120—1116no—
901#120—1116no—
902#120—1116no—
903#120—1116no—
904#120—1116no—
905#120—118no—
906#120—118no—
907#120—1116no—
908#120C22×D11116yescomplemented
909#120C22×D1118yescomplemented
910C4×D4—1116no—
911C4×D4—1116no—
912C4×D4—1116no—
913C4×D4—1116no—
914C4×D4—1116no—
915C4×D4—1116no—
916#117—1116no—
917#117—118no—
918C2×C4⋊C4—112no—
919C2×C4⋊C4—112no—
920C2×C4⋊C4—112no—
921C2×C4⋊C4—112no—
922C2×C4⋊C4—112no—
923C2×C4⋊C4—112no—
924C2×C4⋊C4C22×D1112yescomplemented
925C2×C4⋊C4C22×D1112yescomplemented
926C2×C4⋊C4C22×D1112yescomplemented
927C2×C22⋊C4—111no—
928C2×C22⋊C4—112no—
929C2×C22⋊C4—112no—
930C2×C22⋊C4—112no—
931C2×C22⋊C4—112no—
932C2×C22⋊C4—111no—
933C2×C22⋊C4—112no—
934C2×C22⋊C4—112no—
935C2×C22⋊C4—112no—
936C2×C22⋊C4—112no—
937C2×C22⋊C4—112no—
938C2×C22⋊C4—112no—
939C2×C22⋊C4—112no—
940C2×C22⋊C4—112no—
941C2×C22⋊C4—112no—
942C2×C22⋊C4—112no—
943C2×C22⋊C4—112no—
944C2×C22⋊C4—112no—
945C2×C22⋊C4—112no—
946C2×C22⋊C4—112no—
947C2×C22⋊C4—112no—
948C2×C22⋊C4—112no—
949C2×C22⋊C4—1116no—
950C2×C22⋊C4—118no—
951C2×C22⋊C4—1116no—
952C2×C22⋊C4—1116no—
953C2×C22⋊C4—1116no—
954C2×C22⋊C4—1116no—
955C2×C22⋊C4—118no—
956C2×C22⋊C4C22×D1112yes—
957C2×C22⋊C4C22×D1112yes—
958C2×C22⋊C4C22×D1112yes—
959C2×C22⋊C4C22×D1112yes—
960C2×C22⋊C4C22×D1111yescharacteristic
961C2×C22⋊C4C22×D1111yescharacteristic, complemented
962C2×C22⋊C4C22×D1112yescomplemented
963C2×C42—111no—
964C2×C42—112no—
965C2×C42—112no—
966C2×C42C22×D1111yescharacteristic, complemented
967C2×C11—44no—
968C2×C11—42no—
969C2×C11—42no—
970C2×C11—44no—
971C2×C11#353214yescomplemented
972C2×C11C22×H(5,𝔽2)12yes—
973C2×C11C22×H(5,𝔽2)11yescharacteristic
974D11—24no—
975D11—28no—
976D11—42no—
977D11—42no—
978D11—44no—
979C24—44no—
980C24—42no—
981C24—111no—
982C24—112no—
983C24—111no—
984C24—112no—
985C24—111no—
986C24—114no—
987C24—118no—
988C24—118no—
989C24—114no—
990C24—118no—
991C24—114no—
992C24—114no—
993C24—228no—
994C24—228no—
995C24—228no—
996C24—224no—
997C24—228no—
998C24—224no—
999C24—228no—
1000C24—442no—
1001C24—444no—
1002C24—444no—
1003C24—444no—
1004C24—444no—
1005C24—444no—
1006C24—442no—
1007C24—444no—
1008C24—444no—
1009C24—444no—
1010C24—4416no—
1011C24—4432no—
1012C24—4464no—
1013C24C23×D1111yescharacteristic
1014C24C23×D1112yes—
1015C24C23×D1111yescharacteristic
1016C24C23×D1112yes—
1017C24C23×D1114yes—
1018#41—4432no—
1019#41—4416no—
1020C2×Q8—118no—
1021C2×Q8—114no—
1022C2×Q8—444no—
1023C2×Q8—442no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—42no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—42no—
1031C2×D4—118no—
1032C2×D4—118no—
1033C2×D4—118no—
1034C2×D4—114no—
1035C2×D4—118no—
1036C2×D4—118no—
1037C2×D4—118no—
1038C2×D4—114no—
1039C2×D4—118no—
1040C2×D4—118no—
1041C2×D4—118no—
1042C2×D4—118no—
1043C2×D4—118no—
1044C2×D4—118no—
1045C2×D4—118no—
1046C2×D4—118no—
1047C2×D4—114no—
1048C2×D4—118no—
1049C2×D4—228no—
1050C2×D4—228no—
1051C2×D4—228no—
1052C2×D4—228no—
1053C2×D4—228no—
1054C2×D4—228no—
1055C2×D4—444no—
1056C2×D4—444no—
1057C2×D4—442no—
1058C2×D4—4416no—
1059C2×D4—4432no—
1060C2×D4—4416no—
1061C2×D4—442no—
1062C2×D4—442no—
1063C2×D4—444no—
1064C2×D4—444no—
1065C2×D4—444no—
1066C2×D4—444no—
1067C2×D4—444no—
1068C2×D4—444no—
1069C2×D4—444no—
1070C2×D4—4432no—
1071C2×D4—4432no—
1072C2×D4—4432no—
1073C2×D4—4432no—
1074C2×D4C23×D1118yes—
1075C2×D4C23×D1114yes—
1076C2×D4C23×D1118yes—
1077C2×D4C23×D1118yes—
1078C2×D4C23×D1118yes—
1079C2×D4C23×D1114yescomplemented
1080C2×D4C23×D1118yescomplemented
1081C22×C4—42no—
1082C22×C4—44no—
1083C22×C4—112no—
1084C22×C4—112no—
1085C22×C4—112no—
1086C22×C4—112no—
1087C22×C4—111no—
1088C22×C4—118no—
1089C22×C4—118no—
1090C22×C4—114no—
1091C22×C4—118no—
1092C22×C4—118no—
1093C22×C4—118no—
1094C22×C4—118no—
1095C22×C4—118no—
1096C22×C4—228no—
1097C22×C4—224no—
1098C22×C4—444no—
1099C22×C4—444no—
1100C22×C4—444no—
1101C22×C4—444no—
1102C22×C4—444no—
1103C22×C4—444no—
1104C22×C4C23×D1111yescharacteristic
1105C22×C4C23×D1112yes—
1106C22×C4C23×D1112yes—
1107C22×C4C23×D1112yes—
1108C22×C4C23×D1112yes—
1109C22×C4C23×D1118yescomplemented
1110C22×C4C23×D1114yescomplemented
1111C4⋊C4—118no—
1112C4⋊C4—118no—
1113C4⋊C4—118no—
1114C4⋊C4—118no—
1115C4⋊C4—118no—
1116C4⋊C4—118no—
1117C4⋊C4C23×D1118yescomplemented
1118C4⋊C4C23×D1118yescomplemented
1119C4⋊C4C23×D1118yescomplemented
1120C22⋊C4—114no—
1121C22⋊C4—118no—
1122C22⋊C4—118no—
1123C22⋊C4—118no—
1124C22⋊C4—118no—
1125C22⋊C4—114no—
1126C22⋊C4—118no—
1127C22⋊C4—118no—
1128C22⋊C4—118no—
1129C22⋊C4—118no—
1130C22⋊C4—118no—
1131C22⋊C4—118no—
1132C22⋊C4—118no—
1133C22⋊C4—118no—
1134C22⋊C4—118no—
1135C22⋊C4—118no—
1136C22⋊C4—118no—
1137C22⋊C4—118no—
1138C22⋊C4—118no—
1139C22⋊C4—118no—
1140C22⋊C4—118no—
1141C22⋊C4—118no—
1142C22⋊C4C23×D1118yes—
1143C22⋊C4C23×D1118yes—
1144C22⋊C4C23×D1118yes—
1145C22⋊C4C23×D1118yes—
1146C22⋊C4C23×D1114yes—
1147C22⋊C4C23×D1114yescomplemented
1148C22⋊C4C23×D1118yescomplemented
1149C42—114no—
1150C42—118no—
1151C42—118no—
1152C42C23×D1114yescomplemented
1153C11C2×#353211yescharacteristic, complemented, Sylow
1154C23—24no—
1155C23—22no—
1156C23—24no—
1157C23—24no—
1158C23—24no—
1159C23—24no—
1160C23—24no—
1161C23—24no—
1162C23—24no—
1163C23—22no—
1164C23—48no—
1165C23—44no—
1166C23—416no—
1167C23—114no—
1168C23—118no—
1169C23—112no—
1170C23—114no—
1171C23—112no—
1172C23—114no—
1173C23—112no—
1174C23—2216no—
1175C23—2216no—
1176C23—2216no—
1177C23—228no—
1178C23—2216no—
1179C23—228no—
1180C23—2216no—
1181C23—224no—
1182C23—224no—
1183C23—224no—
1184C23—224no—
1185C23—224no—
1186C23—224no—
1187C23—224no—
1188C23—222no—
1189C23—224no—
1190C23—222no—
1191C23—448no—
1192C23—444no—
1193C23—448no—
1194C23—448no—
1195C23—448no—
1196C23—448no—
1197C23—444no—
1198C23—448no—
1199C23—448no—
1200C23—448no—
1201C23—4432no—
1202C23—4416no—
1203C23—4416no—
1204C23—4432no—
1205C23—44128no—
1206C23—888no—
1207C23—8816no—
1208C23—888no—
1209C23C24×D1112yes—
1210C23C24×D1114yes—
1211C23C24×D1112yes—
1212C23C24×D1114yes—
1213C23C24×D1111yescharacteristic
1214Q8—448no—
1215Q8—444no—
1216D4—48no—
1217D4—48no—
1218D4—48no—
1219D4—44no—
1220D4—48no—
1221D4—48no—
1222D4—44no—
1223D4—2216no—
1224D4—2216no—
1225D4—2216no—
1226D4—2216no—
1227D4—2216no—
1228D4—2216no—
1229D4—448no—
1230D4—448no—
1231D4—444no—
1232D4—444no—
1233D4—444no—
1234D4—448no—
1235D4—448no—
1236D4—448no—
1237D4—448no—
1238D4—448no—
1239D4—448no—
1240D4—448no—
1241C2×C4—24no—
1242C2×C4—24no—
1243C2×C4—24no—
1244C2×C4—22no—
1245C2×C4—24no—
1246C2×C4—44no—
1247C2×C4—48no—
1248C2×C4—114no—
1249C2×C4—114no—
1250C2×C4—114no—
1251C2×C4—114no—
1252C2×C4—112no—
1253C2×C4—2216no—
1254C2×C4—228no—
1255C2×C4—222no—
1256C2×C4—224no—
1257C2×C4—224no—
1258C2×C4—224no—
1259C2×C4—224no—
1260C2×C4—448no—
1261C2×C4—448no—
1262C2×C4—448no—
1263C2×C4—448no—
1264C2×C4—448no—
1265C2×C4—448no—
1266C2×C4C24×D1112yes—
1267C2×C4C24×D1114yes—
1268C2×C4C24×D1114yes—
1269C2×C4C24×D1114yes—
1270C2×C4C24×D1114yes—
1271C22—24no—
1272C22—22no—
1273C22—24no—
1274C22—24no—
1275C22—24no—
1276C22—24no—
1277C22—24no—
1278C22—24no—
1279C22—24no—
1280C22—22no—
1281C22—416no—
1282C22—48no—
1283C22—44no—
1284C22—44no—
1285C22—48no—
1286C22—114no—
1287C22—118no—
1288C22—224no—
1289C22—224no—
1290C22—224no—
1291C22—228no—
1292C22—2216no—
1293C22—224no—
1294C22—224no—
1295C22—224no—
1296C22—224no—
1297C22—222no—
1298C22—224no—
1299C22—222no—
1300C22—4432no—
1301C22—4416no—
1302C22—4416no—
1303C22—4432no—
1304C22—444no—
1305C22—448no—
1306C22—444no—
1307C22—888no—
1308C22—8816no—
1309C22—888no—
1310C22D11×H(5,𝔽2)14yes—
1311C22D11×H(5,𝔽2)12yes—
1312C22C25×D1111yescharacteristic
1313C4—24no—
1314C4—24no—
1315C4—24no—
1316C4—22no—
1317C4—24no—
1318C4—222no—
1319C4—224no—
1320C4—224no—
1321C4—224no—
1322C4—224no—
1323C2—44no—
1324C2—42no—
1325C2—42no—
1326C2—44no—
1327C2—224no—
1328C2—228no—
1329C2—442no—
1330C2—444no—
1331C2—442no—
1332C2#1308276914yesdirect product factor
1333C2C2×D11×H(5,𝔽2)12yes—
1334C2C2×D11×H(5,𝔽2)11yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#560C2
socleC23×C11C25
hypercenterC2×#560D11
hypocenterC11C2×#3532
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#560

Complements

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

NH ≅ G/Ntype
1. #13082769C2direct (N × H)
2. C2×#10623125C2semidirect
3. C2×#10623126C2semidirect
4. C2×#10623190C2semidirect
5. C2×#10623236C2semidirect
6. C2×#10623143C2semidirect
7. C2×#10623185C2semidirect
8. C2×#10623141C2semidirect
9. C2×#10623248C2semidirect
10. C2×#10623140C2semidirect
11. C2×#10623235C2semidirect
12. C2×#10623188C2semidirect
13. C2×#10623144C2semidirect
14. C2×#10623138C2semidirect
15. C2×#10623246C2semidirect
16. C2×#10623184C2semidirect
17. C2×#10623136C2semidirect
18. C2×D11×#120C2semidirect
19. C2×D11×#120C2semidirect
20. C2×C11×#560C2semidirect
21. C25×D11C22semidirect
22. C22×#4341C22semidirect
23. C22×D4×D11C22semidirect
24. C22×D4×D11C22semidirect
25. C22×D4×D11C22semidirect
26. C22×D4×D11C22semidirect
27. C22×D4×D11C22semidirect
28. C22×D4×D11C22semidirect
29. C22×#4339C22semidirect
30. C23×D44C22semidirect
31. C11×#560C22semidirect
32. C2×C11×#127C22semidirect
33. C2×C11×#126C22semidirect
34. C2×C11×#123C22semidirect
35. C2×C11×#123C22semidirect
36. C2×C11×#121C22semidirect
37. C2×C11×#121C22semidirect
38. C2×C11×#121C22semidirect
39. C2×C11×#120C22semidirect
40. C2×C11×#120C22semidirect
41. C2×#67006C22semidirect
42. C2×#67006C22semidirect
43. C2×#66993C22semidirect
44. C2×#66993C22semidirect
45. C2×#66992C22semidirect
46. C2×#66992C22semidirect
47. C2×#66992C22semidirect
48. C2×#66991C22semidirect
49. C2×#66991C22semidirect
50. C2×#66991C22semidirect
52. C2×#66990C22semidirect
53. C2×#66990C22semidirect
54. C2×#66990C22semidirect
55. C2×#66990C22semidirect
56. C2×#66990C22semidirect
57. C2×#66990C22semidirect
58. C2×#66990C22semidirect
59. C2×#66990C22semidirect
60. C2×#66989C22semidirect
61. C2×#66989C22semidirect
62. C2×#66988C22semidirect
63. C2×#66983C22semidirect
64. C2×#66982C22semidirect
65. C2×C4×C22⋊D11C22semidirect
66. C2×C4×C22⋊D11C22semidirect
67. C22×(C2×D11)⋊C4C22semidirect
68. #10623248C22semidirect
69. #10623246C22semidirect
70. #10623236C22semidirect
71. #10623235C22semidirect
72. #10623190C22semidirect
73. #10623188C22semidirect
74. #10623185C22semidirect
75. #10623184C22semidirect
76. #10623144C22semidirect
77. #10623143C22semidirect
78. #10623141C22semidirect
79. #10623140C22semidirect
80. #10623138C22semidirect
81. #10623136C22semidirect
82. #10623126C22semidirect
83. #10623125C22semidirect
84. D11×#120C22semidirect
85. D11×#120C22semidirect
86. C2×#66951C22semidirect
87. C2×#66950C22semidirect
88. C2×#66949C22semidirect
89. C2×#66949C22semidirect
90. C2×#66948C22semidirect
91. C2×#66948C22semidirect
92. C2×#66947C22semidirect
93. C2×#66947C22semidirect
94. C2×#66947C22semidirect
95. C2×#66946C22semidirect
96. C2×#66946C22semidirect
97. C2×#66945C22semidirect
98. C2×#66938C22semidirect
99. C2×#66938C22semidirect
100. C2×#66938C22semidirect
101. C2×#66938C22semidirect
102. C2×#66937C22semidirect
103. C2×#66937C22semidirect
104. C2×#66937C22semidirect
105. C2×#66936C22semidirect
106. C2×#66936C22semidirect
107. C2×#66936C22semidirect
109. C2×#66935C22semidirect
110. C2×#66935C22semidirect
111. C2×#66935C22semidirect
112. C2×#66935C22semidirect
113. C2×#66935C22semidirect
114. C2×#66935C22semidirect
115. C2×(C22⋊D11)⋊C4C22semidirect
116. C2×C22⋊C4×D11C22semidirect
117. C2×C22⋊C4×D11C22semidirect
118. C2×C22⋊C4×D11C22semidirect
119. C2×C22⋊C4×D11C22semidirect
120. C2×C22⋊C4×D11C22semidirect
121. C2×C22⋊C4×D11C22semidirect
122. C2×#66932C22semidirect
123. C2×#66932C22semidirect
124. C2×#66928C22semidirect
125. C2×C4×D44C22semidirect
126. C2×#66925C22semidirect
136. C24×D11C23semidirect
137. C24×D11C23semidirect
143. C22×D4×C11C23semidirect
144. C22×D4×C11C23semidirect
145. C23×C4×C11C23semidirect
146. C23×C4×C11C23semidirect
157. C22×C22⋊D11C23semidirect
158. C22×C22⋊D11C23semidirect
159. C23×Dic11C23semidirect
161. C2×#4341C23semidirect
168. C2×D4×D11C23semidirect
169. C2×D4×D11C23semidirect
170. C2×D4×D11C23semidirect
171. C2×D4×D11C23semidirect
172. C2×D4×D11C23semidirect
173. C2×D4×D11C23semidirect
175. C2×#4339C23semidirect
182. C22×D44C23semidirect
183. C22×D44C23semidirect
189. C22×C4×D11C23semidirect
190. C22×C4×D11C23semidirect
191. C22×Dic22C23semidirect
192. C22×Dic22C23semidirect
193. C11×#127C23semidirect
194. C11×#126C23semidirect
195. C11×#123C23semidirect
196. C11×#123C23semidirect
197. C11×#121C23semidirect
198. C11×#121C23semidirect
199. C11×#121C23semidirect
200. C11×#120C23semidirect
201. C11×#120C23semidirect
202. C2×C11×C4⋊C4C23semidirect
203. C2×C11×C4⋊C4C23semidirect
204. C2×C11×C4⋊C4C23semidirect
210. C2×C11×C22⋊C4C23semidirect
211. C2×C11×C22⋊C4C23semidirect
212. C2×C42×C11C23semidirect
213. #67006C23semidirect
214. #67006C23semidirect
220. C2×C22⋊Dic11C23semidirect
221. C2×C22⋊Dic11C23semidirect
222. C2×C22⋊Dic11C23semidirect
223. #66993C23semidirect
224. #66993C23semidirect
225. #66992C23semidirect
226. #66992C23semidirect
227. #66992C23semidirect
228. #66991C23semidirect
229. #66991C23semidirect
230. #66991C23semidirect
232. #66990C23semidirect
233. #66990C23semidirect
234. #66990C23semidirect
235. #66990C23semidirect
236. #66990C23semidirect
237. #66990C23semidirect
238. #66990C23semidirect
239. #66990C23semidirect
240. #66989C23semidirect
241. #66989C23semidirect
242. #66988C23semidirect
243. #66983C23semidirect
244. #66982C23semidirect
245. C4×C22⋊D11C23semidirect
246. C4×C22⋊D11C23semidirect
256. C2×(C2×D11)⋊C4C23semidirect
257. C2×(C2×D11)⋊C4C23semidirect
258. C2×(C2×D11)⋊C4C23semidirect
259. C2×(C2×D11)⋊C4C23semidirect
260. C2×(C2×D11)⋊C4C23semidirect
261. C2×(C2×D11)⋊C4C23semidirect
262. C2×C4⋊Dic11C23semidirect
263. C2×C4⋊Dic11C23semidirect
264. C2×Dic11⋊C4C23semidirect
265. C2×Dic11⋊C4C23semidirect
266. C2×Dic11⋊C4C23semidirect
267. C2×Dic11⋊C4C23semidirect
268. C2×C4×Dic11C23semidirect
269. C2×C4×Dic11C23semidirect
270. C2×C4×Dic11C23semidirect
271. #66951C23semidirect
272. #66950C23semidirect
273. #66949C23semidirect
274. #66949C23semidirect
275. #66948C23semidirect
276. #66948C23semidirect
277. #66947C23semidirect
278. #66947C23semidirect
279. #66947C23semidirect
280. #66946C23semidirect
281. #66946C23semidirect
282. #66945C23semidirect
283. #66938C23semidirect
284. #66938C23semidirect
285. #66938C23semidirect
286. #66938C23semidirect
287. #66937C23semidirect
288. #66937C23semidirect
289. #66937C23semidirect
290. #66936C23semidirect
291. #66936C23semidirect
292. #66936C23semidirect
294. #66935C23semidirect
295. #66935C23semidirect
296. #66935C23semidirect
297. #66935C23semidirect
298. #66935C23semidirect
299. #66935C23semidirect
300. (C22⋊D11)⋊C4C23semidirect
301. C22⋊C4×D11C23semidirect
302. C22⋊C4×D11C23semidirect
303. C22⋊C4×D11C23semidirect
304. C22⋊C4×D11C23semidirect
305. C22⋊C4×D11C23semidirect
306. C22⋊C4×D11C23semidirect
307. #66932C23semidirect
308. #66932C23semidirect
309. #66928C23semidirect
310. C4×D44C23semidirect
311. #66925C23semidirect
351. C23×D11C24semidirect
364. C2×D4×C11C24semidirect
365. C2×D4×C11C24semidirect
373. C22×C4×C11C24semidirect
374. C22×C4×C11C24semidirect
397. C2×C22⋊D11C24semidirect
398. C2×C22⋊D11C24semidirect
405. C22×Dic11C24semidirect
426. C2×D44C24semidirect
439. C2×C4×D11C24semidirect
440. C2×C4×D11C24semidirect
443. C2×Dic22C24semidirect
444. C2×Dic22C24semidirect
445. C11×C4⋊C4C24semidirect
446. C11×C4⋊C4C24semidirect
447. C11×C4⋊C4C24semidirect
453. C11×C22⋊C4C24semidirect
454. C11×C22⋊C4C24semidirect
455. C42×C11C24semidirect
461. C22⋊Dic11C24semidirect
462. C22⋊Dic11C24semidirect
463. C22⋊Dic11C24semidirect
473. (C2×D11)⋊C4C24semidirect
474. (C2×D11)⋊C4C24semidirect
475. (C2×D11)⋊C4C24semidirect
476. (C2×D11)⋊C4C24semidirect
477. (C2×D11)⋊C4C24semidirect
478. C4⋊Dic11C24semidirect
479. C4⋊Dic11C24semidirect
480. Dic11⋊C4C24semidirect
481. Dic11⋊C4C24semidirect
482. Dic11⋊C4C24semidirect
483. Dic11⋊C4C24semidirect
484. C4×Dic11C24semidirect
485. C4×Dic11C24semidirect
486. C4×Dic11C24semidirect
490. C2×#560D11semidirect
636. #560C2×D11semidirect
653. C2×#127C2×D11semidirect
657. C2×#126C2×D11semidirect
673. C2×#123C2×D11semidirect
674. C2×#123C2×D11semidirect
690. C2×#121C2×D11semidirect
691. C2×#121C2×D11semidirect
692. C2×#121C2×D11semidirect
713. C2×#120C2×D11semidirect
714. C2×#120C2×D11semidirect
836. C22×D4C22×D11semidirect
837. C22×D4C22×D11semidirect
846. C23×C4C22×D11semidirect
847. C23×C4C22×D11semidirect
850. #127C22×D11semidirect
854. #126C22×D11semidirect
870. #123C22×D11semidirect
871. #123C22×D11semidirect
887. #121C22×D11semidirect
888. #121C22×D11semidirect
889. #121C22×D11semidirect
908. #120C22×D11semidirect
909. #120C22×D11semidirect
924. C2×C4⋊C4C22×D11semidirect
925. C2×C4⋊C4C22×D11semidirect
926. C2×C4⋊C4C22×D11semidirect
961. C2×C22⋊C4C22×D11semidirect
962. C2×C22⋊C4C22×D11semidirect
966. C2×C42C22×D11semidirect
971. C2×C11#3532semidirect
1079. C2×D4C23×D11semidirect
1080. C2×D4C23×D11semidirect
1109. C22×C4C23×D11semidirect
1110. C22×C4C23×D11semidirect
1117. C4⋊C4C23×D11semidirect
1118. C4⋊C4C23×D11semidirect
1119. C4⋊C4C23×D11semidirect
1147. C22⋊C4C23×D11semidirect
1148. C22⋊C4C23×D11semidirect
1152. C42C23×D11semidirect
1153. C11C2×#3532semidirect
1332. C2#13082769direct (N × H)

Maximal subgroups

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

subgroupindex
#130827692
C2×#106231252
C2×#106231262
C2×#106231902
C2×#106232362
C2×#106231432
C2×#106231852
C2×#106231412
C2×#106232482
C2×#106231402
C2×#106232352
C2×#106231882
C2×#106231442
C2×#106231382
C2×#106232462
C2×#106231842
C2×#106231362
C2×D11×#1202
C2×C11×#5602
C2×#353211