Finite Group Databasebeta

← C2×#13082847 #15661004

Subgroups — C2×#13082847 #15661004

Order 2816.

8890 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082847C2132yesmaximal, direct product factor
2C2×#10623126C212yesmaximal, complemented
3C2×#10623151C212yesmaximal, complemented
4C2×#10623149C211yesmaximal, characteristic, complemented
5C2×#10623089C211yesmaximal, characteristic, complemented
6C2×#10623145C211yesmaximal, characteristic, complemented
7C2×#10623096C211yesmaximal, characteristic, complemented
8C2×#10623248C211yesmaximal, characteristic, complemented
9C2×D4×C22⋊D11C211yesmaximal, characteristic, complemented
10C2×D4×C22⋊D11C211yesmaximal, characteristic, complemented
11C2×D4×C22⋊D11C212yesmaximal, complemented
12C2×#10623121C212yesmaximal, complemented
13C2×#10623250C211yesmaximal, characteristic, complemented
14C2×#10623093C211yesmaximal, characteristic, complemented
15C2×#10623124C212yesmaximal, complemented
16C2×#10623144C212yesmaximal, complemented
17C2×#10623336C211yesmaximal, characteristic, complemented
18C2×#10623138C211yesmaximal, characteristic, complemented
19C2×#10623120C212yesmaximal, complemented
20C2×#10623335C212yesmaximal, complemented
21C2×#10623078C211yesmaximal, characteristic, complemented
22C22×#66991C211yesmaximal, characteristic, complemented
23C2×D11×#121C211yesmaximal, characteristic, complemented
24C2×D42×C11C211yesmaximal, characteristic, complemented
25C23×D4×C11C2212yescomplemented
26C23×D4×C11C2211yescharacteristic, complemented
27C23×D4×C11C2211yescharacteristic, complemented
28C23×C22⋊D11C2212yescomplemented
29C23×C22⋊D11C2212yescomplemented
30C23×C22⋊D11C2212yescomplemented
31C22×D4×D11C2212yescomplemented
32C22×D4×D11C2211yescharacteristic, complemented
33C22×D4×D11C2212yescomplemented
34C22×D4×D11C2211yescharacteristic, complemented
35C22×#4339C2211yescharacteristic, complemented
36C23×C4×D11C2211yescharacteristic, complemented
37D42×C11C22116yescomplemented
38C2×C11×#127C2211yescharacteristic, complemented
39C2×C11×#121C2211yescharacteristic, complemented
40C2×C11×#121C2211yescharacteristic, complemented
41C2×C11×#121C2212yescomplemented
42C2×C11×#120C2212yescomplemented
43C2×C11×#120C2212yescomplemented
44C2×C4×D4×C11C2211yescharacteristic, complemented
45C2×C4×D4×C11C2211yescharacteristic, complemented
46C2×#67006C2212yescomplemented
47C2×#67006C2212yescomplemented
48C2×#67006C2212yescomplemented
49C2×#67006C2212yescomplemented
50C22×C22⋊Dic11C2212yescomplemented
51#10623336C22116yescomplemented
52#10623335C22132yescomplemented
53C2×#66993C2212yescomplemented
54C2×#66993C2212yescomplemented
55C2×#66993C2211yescharacteristic, complemented
56C2×#66992C2211yescharacteristic, complemented
57C2×#66992C2212yescomplemented
58C2×#66992C2212yescomplemented
59C2×#66992C2212yescomplemented
60C2×#66992C2212yescomplemented
61C2×#66992C2212yescomplemented
62C2×#66992C2212yescomplemented
63C2×#66992C2212yescomplemented
64D4×C22⋊D11C22116yescomplemented
65D4×C22⋊D11C22116yescomplemented
66D4×C22⋊D11C22132yescomplemented
67C2×#66991C2212yescomplemented
68C2×#66991C2211yescharacteristic, complemented
69C2×#66991C2211yescharacteristic, complemented
70C2×#66991C2211yescharacteristic, complemented
71C2×#66991C2211yescharacteristic, complemented
72C2×#66991C2212yescomplemented
73C2×#66991C2211yescharacteristic, complemented
74C2×#66991C2211yescharacteristic, complemented
75C2×#66991C2211yescharacteristic, complemented
76C2×#66991C2212yescomplemented
77C2×#66991C2212yescomplemented
78C2×#66991C22116yescomplemented
79C2×#66990C2211yescharacteristic, complemented
80C2×#66990C2212yescomplemented
81C2×#66990C2212yescomplemented
82C2×#66990C2212yescomplemented
83C2×#66990C2212yescomplemented
84C2×#66990C2212yescomplemented
85C2×#66989C2212yescomplemented
86C2×#66988C2212yescomplemented
87C2×#66988C2212yescomplemented
88C2×#66988C2212yescomplemented
89C2×D4×Dic11C2211yescharacteristic, complemented
90C2×D4×Dic11C2212yescomplemented
91C2×D4×Dic11C2211yescharacteristic, complemented
92C2×#66983C2211yescharacteristic, complemented
93C2×#66983C2211yescharacteristic, complemented
94C2×#66983C2212yescomplemented
95C2×#66982C2212yescomplemented
96C2×#66982C2212yescomplemented
97C2×C4×C22⋊D11C2211yescharacteristic, complemented
98C2×C4×C22⋊D11C2211yescharacteristic, complemented
99C2×C4×C22⋊D11C2212yescomplemented
100C2×#66979C2211yescharacteristic, complemented
101C22×C4⋊Dic11C2211yescharacteristic, complemented
102#10623250C22116yescomplemented
103#10623248C22116yescomplemented
104#10623151C22132yescomplemented
105#10623149C22116yescomplemented
106#10623145C22116yescomplemented
107#10623144C22132yescomplemented
108#10623138C22116yescomplemented
109D11×#121C22116yescomplemented
110#10623126C22132yescomplemented
111#10623124C22132yescomplemented
112#10623121C22132yescomplemented
113#10623120C22132yescomplemented
114#10623096C22116yescomplemented
115#10623093C22116yescomplemented
116#10623089C22116yescomplemented
117#10623078C22116yescomplemented
118C2×#66951C2212yescomplemented
119C2×#66949C2211yescharacteristic, complemented
120C2×#66948C2211yescharacteristic, complemented
121C2×#66947C2211yescharacteristic, complemented
122C2×#66945C2211yescharacteristic, complemented
123C2×C4⋊C4×D11C2211yescharacteristic, complemented
124C2×#66943C2211yescharacteristic, complemented
125C2×#66939C2212yescomplemented
126C2×#66938C2212yescomplemented
127C2×#66937C2211yescharacteristic, complemented
128C2×#66937C2212yescomplemented
129C2×#66937C2212yescomplemented
130C2×#66937C2212yescomplemented
131C2×#66936C2211yescharacteristic, complemented
132C2×#66936C2212yescomplemented
133C2×#66936C2212yescomplemented
134C2×#66935C2211yescharacteristic, complemented
135C2×#66935C2212yescomplemented
136C2×(C22⋊D11)⋊C4C2212yescomplemented
137C2×(C22⋊D11)⋊C4C2212yescomplemented
138C2×C22⋊C4×D11C2212yescomplemented
139C2×#66932C2212yescomplemented
140C2×#66932C2212yescomplemented
141C2×#66932C2212yescomplemented
142C2×#66931C2211yescharacteristic, complemented
143C2×C4×D44C2211yescharacteristic, complemented
144C2×C4×D44C2211yescharacteristic, complemented
145C2×#66925C2211yescharacteristic, complemented
146C2×#66923C2211yescharacteristic, complemented
147C25×C11C2312yes—
148C25×C11C2312yes—
149C24×D11C2311yescharacteristic
150C24×D11C2312yes—
151C24×D11C2312yes—
152C22×D4×C11—44no—
153C22×D4×C11—44no—
154C22×D4×C11—48no—
155C22×D4×C11C2311yescharacteristic
156C22×D4×C11C2311yescharacteristic
157C22×D4×C11C2312yes—
158C22×D4×C11C2311yescharacteristic
159C22×D4×C11C2311yescharacteristic
160C22×D4×C11C2312yes—
161C22×D4×C11C2312yes—
162C22×D4×C11C2312yes—
163C22×D4×C11C2312yes—
164C22×D4×C11C2312yes—
165C22×D4×C11C2318yescomplemented
166C22×D4×C11C23116yescomplemented
167C22×D4×C11C2318yescomplemented
168C23×C4×C11C2311yescharacteristic
169C23×C4×C11C2311yescharacteristic
170C23×C4×C11C2312yes—
171C22×C22⋊D11—48no—
172C22×C22⋊D11—48no—
173C22×C22⋊D11—48no—
174C22×C22⋊D11C2312yes—
175C22×C22⋊D11C2312yes—
176C22×C22⋊D11C2311yescharacteristic
177C22×C22⋊D11C2311yescharacteristic
178C22×C22⋊D11C2312yes—
179C22×C22⋊D11C2312yes—
180C22×C22⋊D11C2312yes—
181C22×C22⋊D11C2312yes—
182C22×C22⋊D11C2311yescharacteristic
183C22×C22⋊D11C2312yes—
184C22×C22⋊D11C2312yes—
185C22×C22⋊D11C2312yes—
186C22×C22⋊D11C2311yescharacteristic
187C22×C22⋊D11C2312yes—
188C22×C22⋊D11C2312yes—
189C22×C22⋊D11C2312yes—
190C22×C22⋊D11C2312yes—
191C22×C22⋊D11C23116yescomplemented
192C22×C22⋊D11C23116yescomplemented
193C22×C22⋊D11C23116yescomplemented
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2312yes—
196C23×Dic11C2312yes—
197C23×Dic11C2312yes—
198C2×D4×D11—44no—
199C2×D4×D11—44no—
200C2×D4×D11—48no—
201C2×D4×D11—48no—
202C2×D4×D11C2318yescomplemented
203C2×D4×D11C2318yescomplemented
204C2×D4×D11C23116yescomplemented
205C2×D4×D11C23116yescomplemented
206C2×#4339—44no—
207C2×#4339C2318yescomplemented
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×D44C2312yes—
212C22×C4×D11—44no—
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2312yes—
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2312yes—
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2318yescomplemented
221C22×Dic22C2311yescharacteristic
222C11×#127C2318yescomplemented
223C11×#121C2318yescomplemented
224C11×#121C2318yescomplemented
225C11×#121C23116yescomplemented
226C11×#120C23116yescomplemented
227C11×#120C23116yescomplemented
228C4×D4×C11C2318yescomplemented
229C4×D4×C11C2318yescomplemented
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2312yes—
234C2×C11×C22⋊C4C2312yes—
235C2×C11×C22⋊C4C2312yes—
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238#67006C23116yescomplemented
239#67006C23116yescomplemented
240#67006C23116yescomplemented
241#67006C23116yescomplemented
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2312yes—
244C2×C22⋊Dic11C2312yes—
245C2×C22⋊Dic11C2312yes—
246C2×C22⋊Dic11C2312yes—
247C2×C22⋊Dic11C2312yes—
248C2×C22⋊Dic11C2312yes—
249C2×C22⋊Dic11C2312yes—
250C2×C22⋊Dic11C2312yes—
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2312yes—
253C2×C22⋊Dic11C2312yes—
254C2×C22⋊Dic11C23116yescomplemented
255#66993C2318yescomplemented
256#66993C23116yescomplemented
257#66993C23116yescomplemented
258#66992C23116yescomplemented
259#66992C23116yescomplemented
260#66992C23116yescomplemented
261#66992C23116yescomplemented
262#66992C23116yescomplemented
263#66992C2318yescomplemented
264#66992C23116yescomplemented
265#66992C23116yescomplemented
266#66991C2318yescomplemented
267#66991C2318yescomplemented
268#66991C23116yescomplemented
269#66991C2318yescomplemented
270#66991C2318yescomplemented
271#66991C2318yescomplemented
272#66991C2318yescomplemented
273#66991C23116yescomplemented
274#66991C23116yescomplemented
275#66991C2318yescomplemented
276#66991C23116yescomplemented
277#66990C23116yescomplemented
278#66990C23116yescomplemented
279#66990C2318yescomplemented
280#66990C23116yescomplemented
281#66990C23116yescomplemented
282#66990C23116yescomplemented
283#66989C23116yescomplemented
284#66988C23116yescomplemented
285#66988C23116yescomplemented
286#66988C23116yescomplemented
287D4×Dic11C2318yescomplemented
288D4×Dic11C2318yescomplemented
289D4×Dic11C23116yescomplemented
290#66983C23116yescomplemented
291#66983C2318yescomplemented
292#66983C2318yescomplemented
293#66982C23116yescomplemented
294#66982C23116yescomplemented
295C4×C22⋊D11C2318yescomplemented
296C4×C22⋊D11C2318yescomplemented
297C4×C22⋊D11C23116yescomplemented
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2312yes—
303C2×(C2×D11)⋊C4C2312yes—
304C2×(C2×D11)⋊C4C2312yes—
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2312yes—
307C2×(C2×D11)⋊C4C2312yes—
308C2×(C2×D11)⋊C4C2311yescharacteristic
309#66979C2318yescomplemented
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2312yes—
315C2×C4⋊Dic11C2312yes—
316C2×C4⋊Dic11C2318yescomplemented
317C2×Dic11⋊C4C2312yes—
318C2×Dic11⋊C4C2312yes—
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2312yes—
324C2×Dic11⋊C4C2312yes—
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2312yes—
327C2×C4×Dic11C2312yes—
328#66951C23116yescomplemented
329#66949C2318yescomplemented
330#66948C2318yescomplemented
331#66947C2318yescomplemented
332#66945C2318yescomplemented
333C4⋊C4×D11C2318yescomplemented
334#66943C2318yescomplemented
335#66939C23116yescomplemented
336#66938C23116yescomplemented
337#66937C2318yescomplemented
338#66937C23116yescomplemented
339#66937C23116yescomplemented
340#66937C23116yescomplemented
341#66936C2318yescomplemented
342#66936C23116yescomplemented
343#66936C23116yescomplemented
344#66935C2318yescomplemented
345#66935C23116yescomplemented
346(C22⋊D11)⋊C4C23116yescomplemented
347(C22⋊D11)⋊C4C23116yescomplemented
348C22⋊C4×D11C23116yescomplemented
349#66932C23116yescomplemented
350#66932C23116yescomplemented
351#66932C23116yescomplemented
352#66931C2318yescomplemented
353C4×D44C2318yescomplemented
354C4×D44C2318yescomplemented
355#66925C2318yescomplemented
356#66923C2318yescomplemented
357C2×#3537—111nomaximal, Sylow
358C24×C11—28no—
359C24×C11—44no—
360C24×C11—44no—
361C24×C11—44no—
362C24×C11—44no—
363C24×C11—44no—
364C24×C11C2412yes—
365C24×C11C2412yes—
366C24×C11C2411yescharacteristic
367C24×C11C2412yes—
368C24×C11C2411yescharacteristic
369C24×C11C2418yes—
370C24×C11C2418yes—
371C23×D11—24no—
372C23×D11—24no—
373C23×D11—28no—
374C23×D11—42no—
375C23×D11—44no—
376C23×D11—44no—
377C23×D11—44no—
378C23×D11—44no—
379C23×D11—44no—
380C23×D11C2411yescharacteristic
381C23×D11C2412yes—
382C23×D11C2411yescharacteristic
383C23×D11C2414yes—
384C23×D11C2411yescharacteristic
385C23×D11C2418yes—
386C23×D11C2418yes—
387C2×D4×C11—28no—
388C2×D4×C11—24no—
389C2×D4×C11—24no—
390C2×D4×C11—24no—
391C2×D4×C11—24no—
392C2×D4×C11—416no—
393C2×D4×C11—416no—
394C2×D4×C11—44no—
395C2×D4×C11—44no—
396C2×D4×C11—44no—
397C2×D4×C11—44no—
398C2×D4×C11—44no—
399C2×D4×C11—432no—
400C2×D4×C11C2414yes—
401C2×D4×C11C2414yes—
402C2×D4×C11C2418yes—
403C2×D4×C11C2414yes—
404C2×D4×C11C2414yes—
405C2×D4×C11C2418yes—
406C2×D4×C11C2418yes—
407C2×D4×C11C2418yes—
408C2×D4×C11C2418yes—
409C2×D4×C11C2418yes—
410C22×C4×C11—24no—
411C22×C4×C11—24no—
412C22×C4×C11—44no—
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2412yes—
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2414yes—
419C22×C4×C11C2414yes—
420C22×C4×C11C2418yes—
421C22×C4×C11C2411yescharacteristic
422C2×C22⋊D11—28no—
423C2×C22⋊D11—24no—
424C2×C22⋊D11—28no—
425C2×C22⋊D11—28no—
426C2×C22⋊D11—24no—
427C2×C22⋊D11—42no—
428C2×C22⋊D11—42no—
429C2×C22⋊D11—44no—
430C2×C22⋊D11—44no—
431C2×C22⋊D11—44no—
432C2×C22⋊D11—44no—
433C2×C22⋊D11—44no—
434C2×C22⋊D11—44no—
435C2×C22⋊D11—44no—
436C2×C22⋊D11—44no—
437C2×C22⋊D11—44no—
438C2×C22⋊D11—44no—
439C2×C22⋊D11—432no—
440C2×C22⋊D11—432no—
441C2×C22⋊D11—432no—
442C2×C22⋊D11C2418yes—
443C2×C22⋊D11C2418yes—
444C2×C22⋊D11C2414yes—
445C2×C22⋊D11C2414yes—
446C2×C22⋊D11C2418yes—
447C2×C22⋊D11C2418yes—
448C2×C22⋊D11C2418yes—
449C2×C22⋊D11C2418yes—
450C2×C22⋊D11C2414yes—
451C2×C22⋊D11C2418yes—
452C2×C22⋊D11C2418yes—
453C2×C22⋊D11C2418yes—
454C2×C22⋊D11C2414yes—
455C2×C22⋊D11C2418yes—
456C2×C22⋊D11C2418yes—
457C2×C22⋊D11C2418yes—
458C2×C22⋊D11C2418yes—
459C22×Dic11—42no—
460C22×Dic11—44no—
461C22×Dic11—44no—
462C22×Dic11—44no—
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2412yes—
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2412yes—
468C22×Dic11C2412yes—
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2414yes—
472C22×Dic11C2418yes—
473C22×Dic11C2418yes—
474C22×Dic11C2418yes—
475D4×D11—432no—
476D4×D11—416no—
477D4×D11—416no—
478D4×D11—432no—
479#4339—416no—
480C2×D44—24no—
481C2×D44—24no—
482C2×D44—42no—
483C2×D44—44no—
484C2×D44C2414yes—
485C2×D44C2414yes—
486C2×D44C2414yes—
487C2×D44C2418yes—
488C2×C4×D11—24no—
489C2×C4×D11—24no—
490C2×C4×D11—24no—
491C2×C4×D11—42no—
492C2×C4×D11—42no—
493C2×C4×D11—44no—
494C2×C4×D11—44no—
495C2×C4×D11—416no—
496C2×C4×D11C2414yes—
497C2×C4×D11C2414yes—
498C2×C4×D11C2414yes—
499C2×C4×D11C2418yes—
500C2×C4×D11C2414yes—
501C2×C4×D11C2418yes—
502C2×C4×D11C2414yes—
503C2×Dic22—42no—
504C2×Dic22C2414yes—
505C11×C4⋊C4C2414yes—
506C11×C4⋊C4C2414yes—
507C11×C22⋊C4C2414yes—
508C11×C22⋊C4C2418yes—
509C11×C22⋊C4C2418yes—
510C11×C22⋊C4C2418yes—
511C11×C22⋊C4C2414yes—
512C42×C11C2414yes—
513C22⋊Dic11C2414yes—
514C22⋊Dic11C2418yes—
515C22⋊Dic11C2418yes—
516C22⋊Dic11C2418yes—
517C22⋊Dic11C2418yes—
518C22⋊Dic11C2418yes—
519C22⋊Dic11C2418yes—
520C22⋊Dic11C2418yes—
521C22⋊Dic11C2418yes—
522C22⋊Dic11C2414yes—
523C22⋊Dic11C2418yes—
524C22⋊Dic11C2418yes—
525(C2×D11)⋊C4C2414yes—
526(C2×D11)⋊C4C2414yes—
527(C2×D11)⋊C4C2414yes—
528(C2×D11)⋊C4C2414yes—
529(C2×D11)⋊C4C2418yes—
530(C2×D11)⋊C4C2418yes—
531(C2×D11)⋊C4C2418yes—
532(C2×D11)⋊C4C2414yes—
533(C2×D11)⋊C4C2418yes—
534(C2×D11)⋊C4C2418yes—
535(C2×D11)⋊C4C2414yes—
536C4⋊Dic11C2414yes—
537C4⋊Dic11C2414yes—
538C4⋊Dic11C2414yes—
539C4⋊Dic11C2414yes—
540C4⋊Dic11C2418yes—
541C4⋊Dic11C2418yes—
542Dic11⋊C4C2418yes—
543Dic11⋊C4C2418yes—
544Dic11⋊C4C2414yes—
545Dic11⋊C4C2414yes—
546Dic11⋊C4C2414yes—
547Dic11⋊C4C2414yes—
548Dic11⋊C4C2418yes—
549Dic11⋊C4C2418yes—
550C4×Dic11C2414yes—
551C4×Dic11C2418yes—
552C4×Dic11C2418yes—
553#3537—1132no—
554C2×#560—112no—
555C2×#560—112no—
556C2×#553—111no—
557C2×#553—111no—
558C2×#553—111no—
559C2×#553—111no—
560C2×D42—112no—
561C2×D42—111no—
562C2×D42—111no—
563C2×D42—111no—
564C2×D42—112no—
565C2×D42D1111yescharacteristic, complemented
566C2×#540—111no—
567C2×#540—111no—
568C2×#538—112no—
569C2×#538—112no—
570C2×#535—111no—
571C2×#535—111no—
572C2×#534—112no—
573C2×#534—112no—
574C2×#525—111no—
575C22×#121—111no—
576C22×#121—111no—
577C23×C11—22no—
578C23×C11—22no—
579C23×C11—24no—
580C23×C11—24no—
581C23×C11—22no—
582C23×C11—24no—
583C23×C11—24no—
584C23×C11—22no—
585C23×C11—24no—
586C23×C11—24no—
587C23×C11—24no—
588C23×C11—24no—
589C23×C11—22no—
590C23×C11—24no—
591C23×C11—216no—
592C23×C11—48no—
593C23×C11—48no—
594C23×C11—48no—
595C23×C11—48no—
596C23×C11—48no—
597C23×C11—816no—
598C23×C11—816no—
599C23×C11H(5,𝔽2)14yes—
600C23×C11C2514yes—
601C23×C11C2514yes—
602C23×C11C2512yes—
603C23×C11C2514yes—
604C23×C11C2512yes—
605C23×C11C2511yescharacteristic
606C22×D11—22no—
607C22×D11—22no—
608C22×D11—22no—
609C22×D11—22no—
610C22×D11—24no—
611C22×D11—24no—
612C22×D11—22no—
613C22×D11—22no—
614C22×D11—24no—
615C22×D11—28no—
616C22×D11—22no—
617C22×D11—22no—
618C22×D11—28no—
619C22×D11—216no—
620C22×D11—44no—
621C22×D11—48no—
622C22×D11—48no—
623C22×D11—48no—
624C22×D11—48no—
625C22×D11—48no—
626C22×D11—416no—
627C22×D11—816no—
628C22×D11—816no—
629C22×D11H(5,𝔽2)14yes—
630C22×D11C2514yes—
631C22×D11C2512yes—
632C22×D11C2512yes—
633C22×D11C2512yes—
634D4×C11—216no—
635D4×C11—28no—
636D4×C11—28no—
637D4×C11—28no—
638D4×C11—28no—
639D4×C11—48no—
640D4×C11—48no—
641D4×C11—48no—
642D4×C11—48no—
643D4×C11—48no—
644C2×C4×C11—22no—
645C2×C4×C11—22no—
646C2×C4×C11—22no—
647C2×C4×C11—24no—
648C2×C4×C11—22no—
649C2×C4×C11—28no—
650C2×C4×C11—28no—
651C2×C4×C11—48no—
652C2×C4×C11H(5,𝔽2)14yes—
653C2×C4×C11C2512yes—
654C2×C4×C11C2514yes—
655C2×C4×C11C2512yes—
656C2×C4×C11C2512yes—
657C2×C4×C11C2512yes—
658C2×C4×C11C2512yes—
659C22⋊D11—216no—
660C22⋊D11—28no—
661C22⋊D11—216no—
662C22⋊D11—216no—
663C22⋊D11—28no—
664C22⋊D11—44no—
665C22⋊D11—44no—
666C22⋊D11—48no—
667C22⋊D11—48no—
668C22⋊D11—48no—
669C22⋊D11—48no—
670C22⋊D11—48no—
671C22⋊D11—48no—
672C22⋊D11—48no—
673C22⋊D11—48no—
674C22⋊D11—48no—
675C22⋊D11—48no—
676C2×Dic11—22no—
677C2×Dic11—22no—
678C2×Dic11—22no—
679C2×Dic11—24no—
680C2×Dic11—24no—
681C2×Dic11—22no—
682C2×Dic11—24no—
683C2×Dic11—22no—
684C2×Dic11—44no—
685C2×Dic11—48no—
686C2×Dic11—48no—
687C2×Dic11—48no—
688C2×Dic11C2512yes—
689C2×Dic11C2512yes—
690C2×Dic11C2514yes—
691C2×Dic11C2512yes—
692C2×Dic11C2514yes—
693C2×Dic11C2514yes—
694C2×Dic11C2512yes—
695C2×Dic11C2512yes—
696D44—28no—
697D44—28no—
698D44—44no—
699D44—48no—
700C4×D11—28no—
701C4×D11—28no—
702C4×D11—28no—
703C4×D11—44no—
704C4×D11—44no—
705C4×D11—48no—
706C4×D11—48no—
707Dic22—44no—
708C22×#41—111no—
709C23×D4—112no—
710C23×D4—112no—
711C23×D4—112no—
712C23×D4—111no—
713C23×D4—112no—
714C23×D4—112no—
715C23×D4—111no—
716C23×D4C2×D1111yescharacteristic, complemented
717C23×D4C2×D1112yescomplemented
718C23×D4C2×D1111yescharacteristic, complemented
719C24×C4—111no—
720#560—1132no—
721#560—1132no—
722#553—1116no—
723#553—1116no—
724#553—1116no—
725#553—1116no—
726D42—1132no—
727D42—1116no—
728D42—1116no—
729D42—1116no—
730D42—1132no—
731D42C2×D11116yescomplemented
732#540—1116no—
733#540—1116no—
734#538—1132no—
735#538—1132no—
736#535—1116no—
737#535—1116no—
738#534—1132no—
739#534—1132no—
740C2×#127—112no—
741C2×#127—112no—
742C2×#127—111no—
743C2×#127C2×D1111yescharacteristic, complemented
744C2×#126—112no—
745C2×#126—112no—
746C2×#126—112no—
747C2×#126—112no—
748C2×#125—111no—
749C2×#125—111no—
750C2×#124—112no—
751C2×#124—112no—
752#525—1116no—
753C2×#123—112no—
754C2×#123—112no—
755C2×#123—112no—
756C2×#123—112no—
757C2×#123—112no—
758C2×#123—111no—
759C2×#123—111no—
760C2×#123—112no—
761C2×#123—112no—
762C2×#123—112no—
763C2×C22⋊Q8—111no—
764C2×C22⋊Q8—111no—
765C2×#121—112no—
766C2×#121—111no—
767C2×#121—111no—
768C2×#121—111no—
769C2×#121—111no—
770C2×#121—111no—
771C2×#121—112no—
772C2×#121—112no—
773C2×#121—111no—
774C2×#121—111no—
775C2×#121—112no—
776C2×#121—112no—
777C2×#121—111no—
778C2×#121—112no—
779C2×#121—112no—
780C2×#121—112no—
781C2×#121—112no—
782C2×#121—112no—
783C2×#121—112no—
784C2×#121—1116no—
785C2×#121—111no—
786C2×#121—111no—
787C2×#121—112no—
788C2×#121—1116no—
789C2×#121—111no—
790C2×#121—112no—
791C2×#121—111no—
792C2×#121—112no—
793C2×#121—112no—
794C2×#121C2×D1111yescharacteristic, complemented
795C2×#121C2×D1111yescharacteristic, complemented
796C2×#121C2×D1112yescomplemented
797C2×#120—112no—
798C2×#120—112no—
799C2×#120—112no—
800C2×#120—112no—
801C2×#120—111no—
802C2×#120—112no—
803C2×#120—112no—
804C2×#120—112no—
805C2×#120—112no—
806C2×#120—112no—
807C2×#120—111no—
808C2×#120—112no—
809C2×#120C2×D1112yescomplemented
810C2×#120C2×D1112yescomplemented
811C2×C4×D4—112no—
812C2×C4×D4—111no—
813C2×C4×D4—111no—
814C2×C4×D4—111no—
815C2×C4×D4—111no—
816C2×C4×D4—112no—
817C2×C4×D4—112no—
818C2×C4×D4—112no—
819C2×C4×D4—111no—
820C2×C4×D4—111no—
821C2×C4×D4C2×D1111yescharacteristic, complemented
822C2×C4×D4C2×D1111yescharacteristic, complemented
823C2×#117—111no—
824C2×#117—111no—
825C2×#117—111no—
826C22×C4⋊C4—111no—
827C22×C4⋊C4—111no—
828C22×C22⋊C4—112no—
829C22×C22⋊C4—112no—
830C22×C11—22no—
831C22×C11—22no—
832C22×C11—28no—
833C22×C11—22no—
834C22×C11—24no—
835C22×C11—22no—
836C22×C11—24no—
837C22×C11—24no—
838C22×C11—24no—
839C22×C11—24no—
840C22×C11—24no—
841C22×C11—24no—
842C22×C11—24no—
843C22×C11—22no—
844C22×C11—24no—
845C22×C11—48no—
846C22×C11—48no—
847C22×C11—44no—
848C22×C11—48no—
849C22×C11—816no—
850C22×C11—816no—
851C22×C11C2×H(5,𝔽2)14yes—
852C22×C11C2×H(5,𝔽2)12yes—
853C22×C11C2×H(5,𝔽2)12yes—
854C22×C11C2×H(5,𝔽2)12yes—
855C22×C11C2611yescharacteristic
856C2×D11—22no—
857C2×D11—22no—
858C2×D11—28no—
859C2×D11—24no—
860C2×D11—22no—
861C2×D11—22no—
862C2×D11—22no—
863C2×D11—22no—
864C2×D11—24no—
865C2×D11—24no—
866C2×D11—22no—
867C2×D11—22no—
868C2×D11—416no—
869C2×D11—44no—
870C2×D11—44no—
871C2×D11—48no—
872C2×D11—816no—
873C2×D11—816no—
874C2×D11C2×H(5,𝔽2)14yes—
875C4×C11—22no—
876C4×C11—22no—
877C4×C11—22no—
878C4×C11—24no—
879C4×C11—22no—
880C4×C11C2×H(5,𝔽2)14yes—
881Dic11—22no—
882Dic11—22no—
883Dic11—22no—
884Dic11—24no—
885Dic11—24no—
886Dic11—24no—
887Dic11—22no—
888Dic11—22no—
889C25—111no—
890C25—112no—
891C25—112no—
892C25C22×D1112yes—
893C25C22×D1112yes—
894C2×#41—118no—
895C2×#41—444no—
896C22×Q8—111no—
897C22×D4—44no—
898C22×D4—44no—
899C22×D4—48no—
900C22×D4—112no—
901C22×D4—111no—
902C22×D4—112no—
903C22×D4—111no—
904C22×D4—112no—
905C22×D4—111no—
906C22×D4—111no—
907C22×D4—112no—
908C22×D4—112no—
909C22×D4—112no—
910C22×D4—112no—
911C22×D4—112no—
912C22×D4—112no—
913C22×D4—112no—
914C22×D4—112no—
915C22×D4—112no—
916C22×D4—112no—
917C22×D4—1116no—
918C22×D4—1116no—
919C22×D4—1116no—
920C22×D4—118no—
921C22×D4—1116no—
922C22×D4—1116no—
923C22×D4—118no—
924C22×D4—111no—
925C22×D4—111no—
926C22×D4—111no—
927C22×D4—112no—
928C22×D4—444no—
929C22×D4—444no—
930C22×D4—448no—
931C22×D4—448no—
932C22×D4—448no—
933C22×D4—448no—
934C22×D4—448no—
935C22×D4C22×D1112yes—
936C22×D4C22×D1111yescharacteristic
937C22×D4C22×D1111yescharacteristic
938C22×D4C22×D1111yescharacteristic
939C22×D4C22×D1111yescharacteristic
940C22×D4C22×D1112yes—
941C22×D4C22×D1112yes—
942C22×D4C22×D1112yes—
943C22×D4C22×D1112yes—
944C22×D4C22×D1112yes—
945C22×D4C22×D1118yescomplemented
946C22×D4C22×D11116yescomplemented
947C22×D4C22×D1118yescomplemented
948C23×C4—111no—
949C23×C4—112no—
950C23×C4—112no—
951C23×C4—112no—
952C23×C4—111no—
953C23×C4—111no—
954C23×C4—111no—
955C23×C4—111no—
956C23×C4—112no—
957C23×C4—112no—
958C23×C4—111no—
959C23×C4—118no—
960C23×C4—444no—
961C23×C4C22×D1111yescharacteristic
962C23×C4C22×D1111yescharacteristic
963C23×C4C22×D1112yes—
964#127—1116no—
965#127—1116no—
966#127—118no—
967#127C22×D1118yescomplemented
968#126—1116no—
969#126—1116no—
970#126—1116no—
971#126—1116no—
972#125—118no—
973#125—118no—
974#124—1116no—
975#124—1116no—
976#123—1116no—
977#123—1116no—
978#123—1116no—
979#123—1116no—
980#123—1116no—
981#123—118no—
982#123—118no—
983#123—1116no—
984#123—1116no—
985#123—1116no—
986C22⋊Q8—118no—
987C22⋊Q8—118no—
988#121—1116no—
989#121—1116no—
990#121—118no—
991#121—118no—
992#121—118no—
993#121—118no—
994#121—118no—
995#121—1116no—
996#121—118no—
997#121—1116no—
998#121—1116no—
999#121—1116no—
1000#121—118no—
1001#121—118no—
1002#121—1116no—
1003#121—1116no—
1004#121—1116no—
1005#121—1116no—
1006#121—1116no—
1007#121—118no—
1008#121—118no—
1009#121—1116no—
1010#121—118no—
1011#121—1116no—
1012#121—118no—
1013#121—1116no—
1014#121—1116no—
1015#121C22×D1118yescomplemented
1016#121C22×D1118yescomplemented
1017#121C22×D11116yescomplemented
1018#120—1116no—
1019#120—1116no—
1020#120—1116no—
1021#120—1116no—
1022#120—118no—
1023#120—1116no—
1024#120—1116no—
1025#120—1116no—
1026#120—1116no—
1027#120—1116no—
1028#120—118no—
1029#120—1116no—
1030#120C22×D11116yescomplemented
1031#120C22×D11116yescomplemented
1032C4×D4—1116no—
1033C4×D4—118no—
1034C4×D4—118no—
1035C4×D4—118no—
1036C4×D4—118no—
1037C4×D4—1116no—
1038C4×D4—1116no—
1039C4×D4—1116no—
1040C4×D4—118no—
1041C4×D4—118no—
1042C4×D4C22×D1118yescomplemented
1043C4×D4C22×D1118yescomplemented
1044#117—118no—
1045#117—118no—
1046#117—118no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—112no—
1051C2×C4⋊C4—112no—
1052C2×C4⋊C4—118no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—112no—
1059C2×C4⋊C4—112no—
1060C2×C4⋊C4—112no—
1061C2×C4⋊C4—112no—
1062C2×C4⋊C4—118no—
1063C2×C4⋊C4C22×D1111yescharacteristic
1064C2×C4⋊C4C22×D1111yescharacteristic
1065C2×C22⋊C4—112no—
1066C2×C22⋊C4—112no—
1067C2×C22⋊C4—112no—
1068C2×C22⋊C4—112no—
1069C2×C22⋊C4—112no—
1070C2×C22⋊C4—1116no—
1071C2×C22⋊C4—112no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—112no—
1074C2×C22⋊C4—112no—
1075C2×C22⋊C4—112no—
1076C2×C22⋊C4—112no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—112no—
1079C2×C22⋊C4—112no—
1080C2×C22⋊C4—112no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—112no—
1086C2×C22⋊C4—112no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—1116no—
1090C2×C22⋊C4C22×D1112yes—
1091C2×C22⋊C4C22×D1111yescharacteristic
1092C2×C22⋊C4C22×D1112yes—
1093C2×C22⋊C4C22×D1112yes—
1094C2×C22⋊C4C22×D1111yescharacteristic
1095C2×C42—111no—
1096C2×C42—112no—
1097C2×C42—112no—
1098C2×C42C22×D1111yescharacteristic
1099C2×C11—24no—
1100C2×C11—44no—
1101C2×C11—44no—
1102C2×C11—42no—
1103C2×C11—44no—
1104C2×C11#353714yescomplemented
1105C2×C11C22×H(5,𝔽2)11yescharacteristic
1106C2×C11C22×H(5,𝔽2)11yescharacteristic
1107C2×C11C22×H(5,𝔽2)11yescharacteristic
1108D11—24no—
1109D11—42no—
1110D11—44no—
1111D11—42no—
1112C24—28no—
1113C24—44no—
1114C24—44no—
1115C24—44no—
1116C24—44no—
1117C24—44no—
1118C24—111no—
1119C24—111no—
1120C24—112no—
1121C24—111no—
1122C24—114no—
1123C24—118no—
1124C24—118no—
1125C24—224no—
1126C24—228no—
1127C24—224no—
1128C24—442no—
1129C24—444no—
1130C24—444no—
1131C24—444no—
1132C24—444no—
1133C24—444no—
1134C24C23×D1112yes—
1135C24C23×D1112yes—
1136C24C23×D1111yescharacteristic
1137C24C23×D1112yes—
1138C24C23×D1111yescharacteristic
1139C24C23×D1118yes—
1140C24C23×D1118yes—
1141#41—4416no—
1142C2×Q8—114no—
1143C2×Q8—442no—
1144C2×D4—24no—
1145C2×D4—28no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—416no—
1150C2×D4—416no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—432no—
1157C2×D4—118no—
1158C2×D4—114no—
1159C2×D4—118no—
1160C2×D4—114no—
1161C2×D4—118no—
1162C2×D4—114no—
1163C2×D4—114no—
1164C2×D4—118no—
1165C2×D4—118no—
1166C2×D4—118no—
1167C2×D4—118no—
1168C2×D4—118no—
1169C2×D4—118no—
1170C2×D4—118no—
1171C2×D4—118no—
1172C2×D4—118no—
1173C2×D4—118no—
1174C2×D4—114no—
1175C2×D4—114no—
1176C2×D4—114no—
1177C2×D4—118no—
1178C2×D4—224no—
1179C2×D4—228no—
1180C2×D4—224no—
1181C2×D4—228no—
1182C2×D4—228no—
1183C2×D4—224no—
1184C2×D4—224no—
1185C2×D4—444no—
1186C2×D4—442no—
1187C2×D4—4416no—
1188C2×D4—4416no—
1189C2×D4—444no—
1190C2×D4—444no—
1191C2×D4—444no—
1192C2×D4—444no—
1193C2×D4—444no—
1194C2×D4—444no—
1195C2×D4—444no—
1196C2×D4—444no—
1197C2×D4—444no—
1198C2×D4—444no—
1199C2×D4—442no—
1200C2×D4—442no—
1201C2×D4—4432no—
1202C2×D4—4432no—
1203C2×D4—4432no—
1204C2×D4—4432no—
1205C2×D4—4432no—
1206C2×D4C23×D1118yes—
1207C2×D4C23×D1114yes—
1208C2×D4C23×D1114yes—
1209C2×D4C23×D1114yes—
1210C2×D4C23×D1114yes—
1211C2×D4C23×D1118yes—
1212C2×D4C23×D1118yes—
1213C2×D4C23×D1118yes—
1214C2×D4C23×D1118yes—
1215C2×D4C23×D1118yes—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—44no—
1219C22×C4—111no—
1220C22×C4—111no—
1221C22×C4—112no—
1222C22×C4—111no—
1223C22×C4—112no—
1224C22×C4—112no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—114no—
1228C22×C4—118no—
1229C22×C4—118no—
1230C22×C4—118no—
1231C22×C4—114no—
1232C22×C4—114no—
1233C22×C4—114no—
1234C22×C4—114no—
1235C22×C4—118no—
1236C22×C4—118no—
1237C22×C4—114no—
1238C22×C4—224no—
1239C22×C4—224no—
1240C22×C4—224no—
1241C22×C4—4416no—
1242C22×C4—442no—
1243C22×C4—442no—
1244C22×C4—444no—
1245C22×C4—444no—
1246C22×C4—442no—
1247C22×C4—444no—
1248C22×C4—444no—
1249C22×C4—444no—
1250C22×C4C23×D1114yes—
1251C22×C4C23×D1114yes—
1252C22×C4C23×D1111yescharacteristic
1253C22×C4C23×D1112yes—
1254C22×C4C23×D1111yescharacteristic
1255C22×C4C23×D1111yescharacteristic
1256C22×C4C23×D1111yescharacteristic
1257C22×C4C23×D1118yes—
1258C22×C4C23×D1111yescharacteristic
1259C4⋊C4—114no—
1260C4⋊C4—114no—
1261C4⋊C4—114no—
1262C4⋊C4—118no—
1263C4⋊C4—118no—
1264C4⋊C4—114no—
1265C4⋊C4—114no—
1266C4⋊C4—114no—
1267C4⋊C4—114no—
1268C4⋊C4—114no—
1269C4⋊C4—118no—
1270C4⋊C4—118no—
1271C4⋊C4—118no—
1272C4⋊C4—118no—
1273C4⋊C4C23×D1114yes—
1274C4⋊C4C23×D1114yes—
1275C22⋊C4—118no—
1276C22⋊C4—118no—
1277C22⋊C4—118no—
1278C22⋊C4—118no—
1279C22⋊C4—118no—
1280C22⋊C4—118no—
1281C22⋊C4—114no—
1282C22⋊C4—118no—
1283C22⋊C4—118no—
1284C22⋊C4—118no—
1285C22⋊C4—118no—
1286C22⋊C4—114no—
1287C22⋊C4—118no—
1288C22⋊C4—118no—
1289C22⋊C4—118no—
1290C22⋊C4—114no—
1291C22⋊C4—114no—
1292C22⋊C4—114no—
1293C22⋊C4—114no—
1294C22⋊C4—118no—
1295C22⋊C4—118no—
1296C22⋊C4—114no—
1297C22⋊C4—114no—
1298C22⋊C4C23×D1118yes—
1299C22⋊C4C23×D1114yes—
1300C22⋊C4C23×D1118yes—
1301C22⋊C4C23×D1118yes—
1302C22⋊C4C23×D1114yes—
1303C42—114no—
1304C42—118no—
1305C42—118no—
1306C42C23×D1114yes—
1307C11C2×#353711yescharacteristic, complemented, Sylow
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—24no—
1312C23—24no—
1313C23—22no—
1314C23—24no—
1315C23—24no—
1316C23—24no—
1317C23—24no—
1318C23—24no—
1319C23—24no—
1320C23—22no—
1321C23—24no—
1322C23—216no—
1323C23—48no—
1324C23—48no—
1325C23—48no—
1326C23—48no—
1327C23—48no—
1328C23—816no—
1329C23—816no—
1330C23—114no—
1331C23—112no—
1332C23—114no—
1333C23—112no—
1334C23—112no—
1335C23—228no—
1336C23—2216no—
1337C23—222no—
1338C23—222no—
1339C23—222no—
1340C23—222no—
1341C23—224no—
1342C23—222no—
1343C23—224no—
1344C23—228no—
1345C23—222no—
1346C23—224no—
1347C23—222no—
1348C23—222no—
1349C23—444no—
1350C23—448no—
1351C23—448no—
1352C23—448no—
1353C23—448no—
1354C23—448no—
1355C23—4416no—
1356C23—8816no—
1357C23—8816no—
1358C23#6703714yes—
1359C23C24×D1114yes—
1360C23C24×D1114yes—
1361C23C24×D1112yes—
1362C23C24×D1114yes—
1363C23C24×D1112yes—
1364C23C24×D1111yescharacteristic
1365Q8—444no—
1366D4—28no—
1367D4—216no—
1368D4—28no—
1369D4—28no—
1370D4—28no—
1371D4—48no—
1372D4—48no—
1373D4—48no—
1374D4—48no—
1375D4—48no—
1376D4—228no—
1377D4—2216no—
1378D4—228no—
1379D4—2216no—
1380D4—2216no—
1381D4—228no—
1382D4—228no—
1383D4—448no—
1384D4—444no—
1385D4—448no—
1386D4—448no—
1387D4—448no—
1388D4—448no—
1389D4—448no—
1390D4—448no—
1391D4—448no—
1392D4—448no—
1393D4—448no—
1394D4—448no—
1395D4—444no—
1396D4—444no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—24no—
1401C2×C4—22no—
1402C2×C4—28no—
1403C2×C4—28no—
1404C2×C4—48no—
1405C2×C4—112no—
1406C2×C4—112no—
1407C2×C4—114no—
1408C2×C4—114no—
1409C2×C4—112no—
1410C2×C4—114no—
1411C2×C4—112no—
1412C2×C4—112no—
1413C2×C4—222no—
1414C2×C4—222no—
1415C2×C4—222no—
1416C2×C4—224no—
1417C2×C4—222no—
1418C2×C4—224no—
1419C2×C4—222no—
1420C2×C4—224no—
1421C2×C4—228no—
1422C2×C4—228no—
1423C2×C4—228no—
1424C2×C4—444no—
1425C2×C4—444no—
1426C2×C4—448no—
1427C2×C4—448no—
1428C2×C4—444no—
1429C2×C4—448no—
1430C2×C4—448no—
1431C2×C4—448no—
1432C2×C4#6703714yes—
1433C2×C4C24×D1112yes—
1434C2×C4C24×D1114yes—
1435C2×C4C24×D1112yes—
1436C2×C4C24×D1112yes—
1437C2×C4C24×D1112yes—
1438C2×C4C24×D1112yes—
1439C22—22no—
1440C22—22no—
1441C22—28no—
1442C22—24no—
1443C22—24no—
1444C22—22no—
1445C22—24no—
1446C22—22no—
1447C22—24no—
1448C22—24no—
1449C22—22no—
1450C22—24no—
1451C22—24no—
1452C22—24no—
1453C22—24no—
1454C22—44no—
1455C22—48no—
1456C22—48no—
1457C22—48no—
1458C22—816no—
1459C22—816no—
1460C22—114no—
1461C22—222no—
1462C22—222no—
1463C22—228no—
1464C22—224no—
1465C22—222no—
1466C22—222no—
1467C22—222no—
1468C22—222no—
1469C22—224no—
1470C22—222no—
1471C22—224no—
1472C22—222no—
1473C22—4416no—
1474C22—444no—
1475C22—444no—
1476C22—448no—
1477C22—8816no—
1478C22—8816no—
1479C22C2×#6703714yes—
1480C22C2×#6703712yes—
1481C22C2×#6703712yes—
1482C22D11×H(5,𝔽2)12yes—
1483C22C25×D1111yescharacteristic
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—24no—
1489C4—224no—
1490C4—222no—
1491C4—224no—
1492C4—222no—
1493C4—222no—
1494C4—222no—
1495C4—224no—
1496C4—222no—
1497C4C2×#6703714yes—
1498C2—24no—
1499C2—42no—
1500C2—44no—
1501C2—44no—
1502C2—44no—
1503C2—224no—
1504C2—442no—
1505C2—444no—
1506C2—442no—
1507C2#1308284714yesdirect product factor
1508C2C2×D11×H(5,𝔽2)11yescharacteristic
1509C2C22×#6703711yescharacteristic
1510C2C22×#6703711yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×D42×C11C2
socleC23×C11C25
hypercenterC2×D42D11
hypocenterC11C2×#3537
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×D42

Complements

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

NH ≅ G/Ntype
1. #13082847C2direct (N × H)
2. C2×#10623126C2semidirect
3. C2×#10623151C2semidirect
4. C2×#10623149C2semidirect
5. C2×#10623089C2semidirect
6. C2×#10623145C2semidirect
7. C2×#10623096C2semidirect
8. C2×#10623248C2semidirect
9. C2×D4×C22⋊D11C2semidirect
10. C2×D4×C22⋊D11C2semidirect
11. C2×D4×C22⋊D11C2semidirect
12. C2×#10623121C2semidirect
13. C2×#10623250C2semidirect
14. C2×#10623093C2semidirect
15. C2×#10623124C2semidirect
16. C2×#10623144C2semidirect
17. C2×#10623336C2semidirect
18. C2×#10623138C2semidirect
19. C2×#10623120C2semidirect
20. C2×#10623335C2semidirect
21. C2×#10623078C2semidirect
22. C22×#66991C2semidirect
23. C2×D11×#121C2semidirect
24. C2×D42×C11C2semidirect
25. C23×D4×C11C22semidirect
26. C23×D4×C11C22semidirect
27. C23×D4×C11C22semidirect
28. C23×C22⋊D11C22semidirect
29. C23×C22⋊D11C22semidirect
30. C23×C22⋊D11C22semidirect
31. C22×D4×D11C22semidirect
32. C22×D4×D11C22semidirect
33. C22×D4×D11C22semidirect
34. C22×D4×D11C22semidirect
35. C22×#4339C22semidirect
36. C23×C4×D11C22semidirect
37. D42×C11C22semidirect
38. C2×C11×#127C22semidirect
39. C2×C11×#121C22semidirect
40. C2×C11×#121C22semidirect
41. C2×C11×#121C22semidirect
42. C2×C11×#120C22semidirect
43. C2×C11×#120C22semidirect
44. C2×C4×D4×C11C22semidirect
45. C2×C4×D4×C11C22semidirect
46. C2×#67006C22semidirect
47. C2×#67006C22semidirect
48. C2×#67006C22semidirect
49. C2×#67006C22semidirect
50. C22×C22⋊Dic11C22semidirect
51. #10623336C22semidirect
52. #10623335C22semidirect
53. C2×#66993C22semidirect
54. C2×#66993C22semidirect
55. C2×#66993C22semidirect
56. C2×#66992C22semidirect
57. C2×#66992C22semidirect
58. C2×#66992C22semidirect
59. C2×#66992C22semidirect
60. C2×#66992C22semidirect
61. C2×#66992C22semidirect
62. C2×#66992C22semidirect
63. C2×#66992C22semidirect
64. D4×C22⋊D11C22semidirect
65. D4×C22⋊D11C22semidirect
66. D4×C22⋊D11C22semidirect
67. C2×#66991C22semidirect
68. C2×#66991C22semidirect
69. C2×#66991C22semidirect
70. C2×#66991C22semidirect
71. C2×#66991C22semidirect
72. C2×#66991C22semidirect
73. C2×#66991C22semidirect
74. C2×#66991C22semidirect
75. C2×#66991C22semidirect
76. C2×#66991C22semidirect
77. C2×#66991C22semidirect
78. C2×#66991C22semidirect
79. C2×#66990C22semidirect
80. C2×#66990C22semidirect
81. C2×#66990C22semidirect
82. C2×#66990C22semidirect
83. C2×#66990C22semidirect
84. C2×#66990C22semidirect
85. C2×#66989C22semidirect
86. C2×#66988C22semidirect
87. C2×#66988C22semidirect
88. C2×#66988C22semidirect
89. C2×D4×Dic11C22semidirect
90. C2×D4×Dic11C22semidirect
91. C2×D4×Dic11C22semidirect
92. C2×#66983C22semidirect
93. C2×#66983C22semidirect
94. C2×#66983C22semidirect
95. C2×#66982C22semidirect
96. C2×#66982C22semidirect
97. C2×C4×C22⋊D11C22semidirect
98. C2×C4×C22⋊D11C22semidirect
99. C2×C4×C22⋊D11C22semidirect
100. C2×#66979C22semidirect
101. C22×C4⋊Dic11C22semidirect
102. #10623250C22semidirect
103. #10623248C22semidirect
104. #10623151C22semidirect
105. #10623149C22semidirect
106. #10623145C22semidirect
107. #10623144C22semidirect
108. #10623138C22semidirect
109. D11×#121C22semidirect
110. #10623126C22semidirect
111. #10623124C22semidirect
112. #10623121C22semidirect
113. #10623120C22semidirect
114. #10623096C22semidirect
115. #10623093C22semidirect
116. #10623089C22semidirect
117. #10623078C22semidirect
118. C2×#66951C22semidirect
119. C2×#66949C22semidirect
120. C2×#66948C22semidirect
121. C2×#66947C22semidirect
122. C2×#66945C22semidirect
123. C2×C4⋊C4×D11C22semidirect
124. C2×#66943C22semidirect
125. C2×#66939C22semidirect
126. C2×#66938C22semidirect
127. C2×#66937C22semidirect
128. C2×#66937C22semidirect
129. C2×#66937C22semidirect
130. C2×#66937C22semidirect
131. C2×#66936C22semidirect
132. C2×#66936C22semidirect
133. C2×#66936C22semidirect
134. C2×#66935C22semidirect
135. C2×#66935C22semidirect
136. C2×(C22⋊D11)⋊C4C22semidirect
137. C2×(C22⋊D11)⋊C4C22semidirect
138. C2×C22⋊C4×D11C22semidirect
139. C2×#66932C22semidirect
140. C2×#66932C22semidirect
141. C2×#66932C22semidirect
142. C2×#66931C22semidirect
143. C2×C4×D44C22semidirect
144. C2×C4×D44C22semidirect
145. C2×#66925C22semidirect
146. C2×#66923C22semidirect
165. C22×D4×C11C23semidirect
166. C22×D4×C11C23semidirect
167. C22×D4×C11C23semidirect
191. C22×C22⋊D11C23semidirect
192. C22×C22⋊D11C23semidirect
193. C22×C22⋊D11C23semidirect
202. C2×D4×D11C23semidirect
203. C2×D4×D11C23semidirect
204. C2×D4×D11C23semidirect
205. C2×D4×D11C23semidirect
207. C2×#4339C23semidirect
220. C22×C4×D11C23semidirect
222. C11×#127C23semidirect
223. C11×#121C23semidirect
224. C11×#121C23semidirect
225. C11×#121C23semidirect
226. C11×#120C23semidirect
227. C11×#120C23semidirect
228. C4×D4×C11C23semidirect
229. C4×D4×C11C23semidirect
238. #67006C23semidirect
239. #67006C23semidirect
240. #67006C23semidirect
241. #67006C23semidirect
254. C2×C22⋊Dic11C23semidirect
255. #66993C23semidirect
256. #66993C23semidirect
257. #66993C23semidirect
258. #66992C23semidirect
259. #66992C23semidirect
260. #66992C23semidirect
261. #66992C23semidirect
262. #66992C23semidirect
263. #66992C23semidirect
264. #66992C23semidirect
265. #66992C23semidirect
266. #66991C23semidirect
267. #66991C23semidirect
268. #66991C23semidirect
269. #66991C23semidirect
270. #66991C23semidirect
271. #66991C23semidirect
272. #66991C23semidirect
273. #66991C23semidirect
274. #66991C23semidirect
275. #66991C23semidirect
276. #66991C23semidirect
277. #66990C23semidirect
278. #66990C23semidirect
279. #66990C23semidirect
280. #66990C23semidirect
281. #66990C23semidirect
282. #66990C23semidirect
283. #66989C23semidirect
284. #66988C23semidirect
285. #66988C23semidirect
286. #66988C23semidirect
287. D4×Dic11C23semidirect
288. D4×Dic11C23semidirect
289. D4×Dic11C23semidirect
290. #66983C23semidirect
291. #66983C23semidirect
292. #66983C23semidirect
293. #66982C23semidirect
294. #66982C23semidirect
295. C4×C22⋊D11C23semidirect
296. C4×C22⋊D11C23semidirect
297. C4×C22⋊D11C23semidirect
309. #66979C23semidirect
316. C2×C4⋊Dic11C23semidirect
328. #66951C23semidirect
329. #66949C23semidirect
330. #66948C23semidirect
331. #66947C23semidirect
332. #66945C23semidirect
333. C4⋊C4×D11C23semidirect
334. #66943C23semidirect
335. #66939C23semidirect
336. #66938C23semidirect
337. #66937C23semidirect
338. #66937C23semidirect
339. #66937C23semidirect
340. #66937C23semidirect
341. #66936C23semidirect
342. #66936C23semidirect
343. #66936C23semidirect
344. #66935C23semidirect
345. #66935C23semidirect
346. (C22⋊D11)⋊C4C23semidirect
347. (C22⋊D11)⋊C4C23semidirect
348. C22⋊C4×D11C23semidirect
349. #66932C23semidirect
350. #66932C23semidirect
351. #66932C23semidirect
352. #66931C23semidirect
353. C4×D44C23semidirect
354. C4×D44C23semidirect
355. #66925C23semidirect
356. #66923C23semidirect
565. C2×D42D11semidirect
716. C23×D4C2×D11semidirect
717. C23×D4C2×D11semidirect
718. C23×D4C2×D11semidirect
731. D42C2×D11semidirect
743. C2×#127C2×D11semidirect
794. C2×#121C2×D11semidirect
795. C2×#121C2×D11semidirect
796. C2×#121C2×D11semidirect
809. C2×#120C2×D11semidirect
810. C2×#120C2×D11semidirect
821. C2×C4×D4C2×D11semidirect
822. C2×C4×D4C2×D11semidirect
945. C22×D4C22×D11semidirect
946. C22×D4C22×D11semidirect
947. C22×D4C22×D11semidirect
967. #127C22×D11semidirect
1015. #121C22×D11semidirect
1016. #121C22×D11semidirect
1017. #121C22×D11semidirect
1030. #120C22×D11semidirect
1031. #120C22×D11semidirect
1042. C4×D4C22×D11semidirect
1043. C4×D4C22×D11semidirect
1104. C2×C11#3537semidirect
1307. C11C2×#3537semidirect
1507. C2#13082847direct (N × H)

Maximal subgroups

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

subgroupindex
#130828472
C2×#106231262
C2×#106231512
C2×#106231492
C2×#106230892
C2×#106231452
C2×#106230962
C2×#106232482
C2×D4×C22⋊D112
C2×#106231212
C2×#106232502
C2×#106230932
C2×#106231242
C2×#106231442
C2×#106233362
C2×#106231382
C2×#106231202
C2×#106233352
C2×#106230782
C22×#669912
C2×D11×#1212
C2×D42×C112
C2×#353711