Finite Group Databasebeta

← C2×#13082532 #15662269

Subgroups — C2×#13082532 #15662269

Order 2816.

7238 conjugacy classes of subgroups.

The subgroup lattice has 1928 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082532C2132yesmaximal, direct product factor
2C2×#10623149C211yesmaximal, characteristic, complemented
3C2×#10623240C211yesmaximal, characteristic, complemented
4C2×#10623071C211yesmaximal, characteristic, complemented
5C2×#10623071C211yesmaximal, characteristic, complemented
6C2×#10623071C211yesmaximal, characteristic, complemented
7C2×#10623045C211yesmaximal, characteristic, complemented
8C2×#10623096C211yesmaximal, characteristic, complemented
9C2×#10623192C211yesmaximal, characteristic, complemented
10C2×#10623132C211yesmaximal, characteristic, complemented
11C2×#10623132C211yesmaximal, characteristic, complemented
12C2×#10623132C211yesmaximal, characteristic, complemented
13C2×#10623181C211yesmaximal, characteristic, complemented
14C2×#10623239C211yesmaximal, characteristic, complemented
15C2×#10623062C211yesmaximal, characteristic, complemented
16C2×#10623224C211yesmaximal, characteristic, complemented
17C2×#10623227C211yesmaximal, characteristic, complemented
18C2×#10623232C211yesmaximal, characteristic, complemented
19C2×#10623194C211yesmaximal, characteristic, complemented
20C2×#10623146C211yesmaximal, characteristic, complemented
21C2×#10623128C211yesmaximal, characteristic, complemented
22C2×#10623128C211yesmaximal, characteristic, complemented
23C2×#10623127C211yesmaximal, characteristic, complemented
24C2×#10623237C211yesmaximal, characteristic, complemented
25C2×#10623069C211yesmaximal, characteristic, complemented
26C2×#10623059C211yesmaximal, characteristic, complemented
27C2×#10623180C211yesmaximal, characteristic, complemented
28C22×#66942C211yesmaximal, characteristic, complemented
29C2×#10623077C211yesmaximal, characteristic, complemented
30C2×#10623077C211yesmaximal, characteristic, complemented
31C2×C4×#4341C211yesmaximal, characteristic, complemented
32C2×C11×#553C211yesmaximal, characteristic, complemented
33C22×#4341C2211yescharacteristic
34C22×#4341C2211yescharacteristic
35C22×#4341C2211yescharacteristic
36C11×#553C22116yescomplemented
37C2×C11×#126C2211yescharacteristic
38C2×C11×#126C2211yescharacteristic
39C2×C11×#125C2211yescharacteristic
40C2×C11×#123C2211yescharacteristic
41C2×C11×#123C2211yescharacteristic
42C2×C11×#121C2211yescharacteristic
43C2×C11×#121C2211yescharacteristic
44C2×C11×#121C2211yescharacteristic
45C2×C11×#121C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C2×C4×D4×C11C2211yescharacteristic
48C2×C4×D4×C11C2211yescharacteristic
49C2×C4×D4×C11C2211yescharacteristic
50C2×C11×#117C2211yescharacteristic
51C22×C11×C4⋊C4C2211yescharacteristic
52C2×#66993C2211yescharacteristic
53C2×#66992C2211yescharacteristic
54C2×#66992C2211yescharacteristic
55C2×#66992C2211yescharacteristic
56C2×#66992C2211yescharacteristic
57C2×#66992C2211yescharacteristic
58C2×#66992C2211yescharacteristic
59C2×#66992C2211yescharacteristic
60C2×#66992C2211yescharacteristic
61C2×#66992C2211yescharacteristic
62C2×#66992C2211yescharacteristic
63C2×#66992C2211yescharacteristic
64C2×#66992C2211yescharacteristic
65C2×#66991C2211yescharacteristic
66C2×#66988C2211yescharacteristic
67C2×#66988C2211yescharacteristic
68C2×D4×Dic11C2211yescharacteristic
69C2×D4×Dic11C2211yescharacteristic
70C2×D4×Dic11C2211yescharacteristic
71C2×D4×Dic11C2211yescharacteristic
72C2×D4×Dic11C2211yescharacteristic
73C2×#66983C2211yescharacteristic
74C2×#66983C2211yescharacteristic
75C2×#66983C2211yescharacteristic
76C2×#66983C2211yescharacteristic
77C2×#66982C2211yescharacteristic
78C2×#66982C2211yescharacteristic
79C2×C4×C22⋊D11C2211yescharacteristic
80C2×C4×C22⋊D11C2211yescharacteristic
81C2×C4×C22⋊D11C2211yescharacteristic
82C2×C4×C22⋊D11C2211yescharacteristic
83C2×C4×C22⋊D11C2211yescharacteristic
84C2×C4×C22⋊D11C2211yescharacteristic
85C2×C4×C22⋊D11C2211yescharacteristic
86C2×C4×C22⋊D11C2211yescharacteristic
87C2×#66979C2211yescharacteristic
88C22×C4⋊Dic11C2211yescharacteristic
89C22×Dic11⋊C4C2211yescharacteristic
90C22×Dic11⋊C4C2211yescharacteristic
91C22×Dic11⋊C4C2211yescharacteristic
92C22×Dic11⋊C4C2211yescharacteristic
93C22×Dic11⋊C4C2211yescharacteristic
94C22×Dic11⋊C4C2211yescharacteristic
95C22×C4×Dic11C2211yescharacteristic
96C22×C4×Dic11C2211yescharacteristic
97#10623240C22116yescomplemented
98#10623239C22116yescomplemented
99#10623237C22116yescomplemented
100#10623232C22116yescomplemented
101#10623227C22116yescomplemented
102#10623224C22116yescomplemented
103#10623194C22116yescomplemented
104#10623192C22116yescomplemented
105#10623181C22116yescomplemented
106#10623180C22116yescomplemented
107#10623149C22116yescomplemented
108#10623146C22116yescomplemented
109#10623132C22116yescomplemented
110#10623132C22116yescomplemented
111#10623132C22116yescomplemented
112#10623128C22116yescomplemented
113#10623128C22116yescomplemented
114#10623127C22116yescomplemented
115#10623096C22116yescomplemented
116#10623077C22116yescomplemented
117#10623077C22116yescomplemented
118#10623071C22116yescomplemented
119#10623071C22116yescomplemented
120#10623071C22116yescomplemented
121#10623069C22116yescomplemented
122C4×#4341C22116yescomplemented
123#10623062C22116yescomplemented
124#10623059C22116yescomplemented
125#10623045C22116yescomplemented
126C2×#66951C2211yescharacteristic
127C2×#66951C2211yescharacteristic
128C2×#66951C2211yescharacteristic
129C2×#66951C2211yescharacteristic
130C2×#66951C2211yescharacteristic
131C2×#66951C2211yescharacteristic
132C2×#66949C2211yescharacteristic
133C2×#66949C2211yescharacteristic
134C2×#66949C2211yescharacteristic
135C2×#66949C2211yescharacteristic
136C2×#66948C2211yescharacteristic
137C2×#66947C2211yescharacteristic
138C2×#66947C2211yescharacteristic
139C2×#66947C2211yescharacteristic
140C2×#66947C2211yescharacteristic
141C2×#66946C2211yescharacteristic
142C2×#66946C2211yescharacteristic
143C2×#66945C2211yescharacteristic
144C2×#66945C2211yescharacteristic
145C2×#66945C2211yescharacteristic
146C2×C4⋊C4×D11C2211yescharacteristic
147C2×C4⋊C4×D11C2211yescharacteristic
148C2×#66943C2211yescharacteristic
149C2×#66943C2211yescharacteristic
150C2×#66942C2211yescharacteristic
151C2×#66942C2211yescharacteristic
152C2×#66942C2211yescharacteristic
153C2×#66942C2211yescharacteristic
154C2×#66942C2211yescharacteristic
155C2×#66942C2211yescharacteristic
156C2×#66942C2211yescharacteristic
157C2×#66942C2211yescharacteristic
158C2×#66942C2211yescharacteristic
159C2×#66942C2211yescharacteristic
160C2×#66942C2211yescharacteristic
161C2×#66942C2211yescharacteristic
162C2×#66942C22116yescomplemented
163C2×#66941C2211yescharacteristic
164C2×#66940C2211yescharacteristic
165C2×#66940C2211yescharacteristic
166C2×#66940C2211yescharacteristic
167C2×#66939C2211yescharacteristic
168C2×#66939C2211yescharacteristic
169C2×#66938C2211yescharacteristic
170C2×#66938C2211yescharacteristic
171C2×#66937C2211yescharacteristic
172C2×#66937C2211yescharacteristic
173C2×#66937C2211yescharacteristic
174C2×#66937C2211yescharacteristic
175C2×#66937C2211yescharacteristic
176C2×#66937C2211yescharacteristic
177C2×#66936C2211yescharacteristic
178C2×#66936C2211yescharacteristic
179C2×#66936C2211yescharacteristic
180C2×#66936C2211yescharacteristic
181C2×(C22⋊D11)⋊C4C2211yescharacteristic
182C2×(C22⋊D11)⋊C4C2211yescharacteristic
183C2×(C22⋊D11)⋊C4C2211yescharacteristic
184C2×(C22⋊D11)⋊C4C2211yescharacteristic
185C2×(C22⋊D11)⋊C4C2211yescharacteristic
186C2×(C22⋊D11)⋊C4C2211yescharacteristic
187C2×(C22⋊D11)⋊C4C2211yescharacteristic
188C2×(C22⋊D11)⋊C4C2211yescharacteristic
189C2×(C22⋊D11)⋊C4C2211yescharacteristic
190C2×(C22⋊D11)⋊C4C2211yescharacteristic
191C2×#66932C2211yescharacteristic
192C2×#66932C2211yescharacteristic
193C2×#66932C2211yescharacteristic
194C2×#66932C2211yescharacteristic
195C2×#66932C2211yescharacteristic
196C2×#66932C2211yescharacteristic
197C2×#66931C2211yescharacteristic
198C2×#66931C2211yescharacteristic
199C2×#66931C2211yescharacteristic
200C2×#66931C2211yescharacteristic
201C2×#66930C2211yescharacteristic
202C2×#66930C2211yescharacteristic
203C2×#66930C2211yescharacteristic
204C2×#66930C2211yescharacteristic
205C2×#66930C2211yescharacteristic
206C2×#66930C2211yescharacteristic
207C2×#66929C2211yescharacteristic
208C2×#66929C2211yescharacteristic
209C2×C4×D44C2211yescharacteristic
210C2×#66925C2211yescharacteristic
211C2×#66925C2211yescharacteristic
212C2×#66925C2211yescharacteristic
213C2×#66925C2211yescharacteristic
214C2×C42×D11C2211yescharacteristic
215C2×#66923C2211yescharacteristic
216C2×C4×Dic22C2211yescharacteristic
217C2×C4×Dic22C2211yescharacteristic
218C2×C4×Dic22C2211yescharacteristic
219C22×D4×C11C2311yescharacteristic
220C22×D4×C11C2311yescharacteristic
221C22×D4×C11C2311yescharacteristic
222C22×D4×C11C2311yescharacteristic
223C22×D4×C11C2311yescharacteristic
224C22×D4×C11C2311yescharacteristic
225C23×C4×C11C2311yescharacteristic
226C23×C4×C11C2311yescharacteristic
227C23×C4×C11C2311yescharacteristic
228C23×C4×C11C2311yescharacteristic
229C23×C4×C11C2311yescharacteristic
230C23×C4×C11C2311yescharacteristic
231C22×C22⋊D11C2311yescharacteristic
232C22×C22⋊D11C2311yescharacteristic
233C22×C22⋊D11C2311yescharacteristic
234C22×C22⋊D11C2311yescharacteristic
235C22×C22⋊D11C2311yescharacteristic
236C22×C22⋊D11C2311yescharacteristic
237C22×C22⋊D11C2311yescharacteristic
238C22×C22⋊D11C2311yescharacteristic
239C22×C22⋊D11C2311yescharacteristic
240C22×C22⋊D11C2311yescharacteristic
241C22×C22⋊D11C2311yescharacteristic
242C22×C22⋊D11C2311yescharacteristic
243C23×Dic11C2311yescharacteristic
244C23×Dic11C2311yescharacteristic
245C23×Dic11C2311yescharacteristic
246C23×Dic11C2311yescharacteristic
247C23×Dic11C2311yescharacteristic
248C23×Dic11C2311yescharacteristic
249C23×Dic11C2311yescharacteristic
250C23×Dic11C2311yescharacteristic
251C23×Dic11C2311yescharacteristic
252C23×Dic11C2311yescharacteristic
253C2×#4341—28no—
254C2×#4341—28no—
255C2×#4341—28no—
256C2×#4341C2318yes—
257C2×#4341C2318yes—
258C2×#4341C2318yes—
259C22×D44C2311yescharacteristic
260C22×D44C2311yescharacteristic
261C22×D44C2311yescharacteristic
262C22×C4×D11C2311yescharacteristic
263C22×C4×D11C2311yescharacteristic
264C22×C4×D11C2311yescharacteristic
265C22×C4×D11C2311yescharacteristic
266C22×C4×D11C2311yescharacteristic
267C22×C4×D11C2311yescharacteristic
268C22×C4×D11C2311yescharacteristic
269C22×C4×D11C2311yescharacteristic
270C22×C4×D11C2311yescharacteristic
271C22×Dic22C2311yescharacteristic
272C22×Dic22C2311yescharacteristic
273C22×Dic22C2311yescharacteristic
274C11×#126C2318yes—
275C11×#126C2318yes—
276C11×#125C2318yes—
277C11×#123C2318yes—
278C11×#123C2318yes—
279C11×#121C2318yes—
280C11×#121C2318yes—
281C11×#121C2318yes—
282C11×#121C2318yes—
283C4×D4×C11C2318yes—
284C4×D4×C11C2318yes—
285C4×D4×C11C2318yes—
286C4×D4×C11C2318yes—
287C11×#117C2318yes—
288C2×C11×C4⋊C4C2311yescharacteristic
289C2×C11×C4⋊C4C2311yescharacteristic
290C2×C11×C4⋊C4C2311yescharacteristic
291C2×C11×C4⋊C4C2311yescharacteristic
292C2×C11×C4⋊C4C2311yescharacteristic
293C2×C11×C4⋊C4C2311yescharacteristic
294C2×C11×C4⋊C4C2311yescharacteristic
295C2×C11×C4⋊C4C2311yescharacteristic
296C2×C11×C4⋊C4C2311yescharacteristic
297C2×C11×C4⋊C4C2318yes—
298C2×C11×C4⋊C4C2311yescharacteristic
299C2×C11×C22⋊C4C2311yescharacteristic
300C2×C11×C22⋊C4C2311yescharacteristic
301C2×C11×C22⋊C4C2311yescharacteristic
302C2×C11×C22⋊C4C2311yescharacteristic
303C2×C11×C22⋊C4C2311yescharacteristic
304C2×C11×C22⋊C4C2311yescharacteristic
305C2×C11×C22⋊C4C2311yescharacteristic
306C2×C11×C22⋊C4C2311yescharacteristic
307C2×C11×C22⋊C4C2311yescharacteristic
308C2×C11×C22⋊C4C2311yescharacteristic
309C2×C42×C11C2311yescharacteristic
310C2×C42×C11C2311yescharacteristic
311C2×C42×C11C2311yescharacteristic
312C2×C22⋊Dic11C2311yescharacteristic
313C2×C22⋊Dic11C2311yescharacteristic
314C2×C22⋊Dic11C2311yescharacteristic
315C2×C22⋊Dic11C2311yescharacteristic
316C2×C22⋊Dic11C2311yescharacteristic
317C2×C22⋊Dic11C2311yescharacteristic
318C2×C22⋊Dic11C2311yescharacteristic
319C2×C22⋊Dic11C2311yescharacteristic
320C2×C22⋊Dic11C2311yescharacteristic
321C2×C22⋊Dic11C2311yescharacteristic
322#66993C2318yes—
323#66992C2318yes—
324#66992C2318yes—
325#66992C2318yes—
326#66992C2318yes—
327#66992C2318yes—
328#66992C2318yes—
329#66992C2318yes—
330#66992C2318yes—
331#66992C2318yes—
332#66992C2318yes—
333#66992C2318yes—
334#66992C2318yes—
335#66991C2318yes—
336#66988C2318yes—
337#66988C2318yes—
338D4×Dic11C2318yes—
339D4×Dic11C2318yes—
340D4×Dic11C2318yes—
341D4×Dic11C2318yes—
342D4×Dic11C2318yes—
343#66983C2318yes—
344#66983C2318yes—
345#66983C2318yes—
346#66983C2318yes—
347#66982C2318yes—
348#66982C2318yes—
349C4×C22⋊D11C2318yes—
350C4×C22⋊D11C2318yes—
351C4×C22⋊D11C2318yes—
352C4×C22⋊D11C2318yes—
353C4×C22⋊D11C2318yes—
354C4×C22⋊D11C2318yes—
355C4×C22⋊D11C2318yes—
356C4×C22⋊D11C2318yes—
357C2×(C2×D11)⋊C4C2311yescharacteristic
358C2×(C2×D11)⋊C4C2311yescharacteristic
359C2×(C2×D11)⋊C4C2311yescharacteristic
360C2×(C2×D11)⋊C4C2311yescharacteristic
361C2×(C2×D11)⋊C4C2311yescharacteristic
362C2×(C2×D11)⋊C4C2311yescharacteristic
363C2×(C2×D11)⋊C4C2311yescharacteristic
364C2×(C2×D11)⋊C4C2311yescharacteristic
365C2×(C2×D11)⋊C4C2311yescharacteristic
366C2×(C2×D11)⋊C4C2311yescharacteristic
367C2×(C2×D11)⋊C4C2311yescharacteristic
368C2×(C2×D11)⋊C4C2311yescharacteristic
369C2×(C2×D11)⋊C4C2311yescharacteristic
370C2×(C2×D11)⋊C4C2311yescharacteristic
371C2×(C2×D11)⋊C4C2311yescharacteristic
372C2×(C2×D11)⋊C4C2311yescharacteristic
373C2×(C2×D11)⋊C4C2311yescharacteristic
374C2×(C2×D11)⋊C4C2311yescharacteristic
375#66979C2318yes—
376C2×C4⋊Dic11C2311yescharacteristic
377C2×C4⋊Dic11C2311yescharacteristic
378C2×C4⋊Dic11C2311yescharacteristic
379C2×C4⋊Dic11C2311yescharacteristic
380C2×C4⋊Dic11C2311yescharacteristic
381C2×C4⋊Dic11C2311yescharacteristic
382C2×C4⋊Dic11C2311yescharacteristic
383C2×C4⋊Dic11C2311yescharacteristic
384C2×C4⋊Dic11C2311yescharacteristic
385C2×C4⋊Dic11C2311yescharacteristic
386C2×C4⋊Dic11C2318yes—
387C2×Dic11⋊C4C2311yescharacteristic
388C2×Dic11⋊C4C2311yescharacteristic
389C2×Dic11⋊C4C2311yescharacteristic
390C2×Dic11⋊C4C2311yescharacteristic
391C2×Dic11⋊C4C2311yescharacteristic
392C2×Dic11⋊C4C2311yescharacteristic
393C2×Dic11⋊C4C2311yescharacteristic
394C2×Dic11⋊C4C2311yescharacteristic
395C2×Dic11⋊C4C2311yescharacteristic
396C2×Dic11⋊C4C2311yescharacteristic
397C2×Dic11⋊C4C2311yescharacteristic
398C2×Dic11⋊C4C2311yescharacteristic
399C2×Dic11⋊C4C2311yescharacteristic
400C2×Dic11⋊C4C2311yescharacteristic
401C2×Dic11⋊C4C2311yescharacteristic
402C2×Dic11⋊C4C2311yescharacteristic
403C2×Dic11⋊C4C2311yescharacteristic
404C2×Dic11⋊C4C2311yescharacteristic
405C2×Dic11⋊C4C2311yescharacteristic
406C2×Dic11⋊C4C2311yescharacteristic
407C2×Dic11⋊C4C2311yescharacteristic
408C2×Dic11⋊C4C2311yescharacteristic
409C2×Dic11⋊C4C2311yescharacteristic
410C2×Dic11⋊C4C2311yescharacteristic
411C2×Dic11⋊C4C2311yescharacteristic
412C2×Dic11⋊C4C2311yescharacteristic
413C2×Dic11⋊C4C2311yescharacteristic
414C2×Dic11⋊C4C2311yescharacteristic
415C2×Dic11⋊C4C2311yescharacteristic
416C2×Dic11⋊C4C2311yescharacteristic
417C2×Dic11⋊C4C2318yes—
418C2×Dic11⋊C4C2318yes—
419C2×Dic11⋊C4C2318yes—
420C2×Dic11⋊C4C2318yes—
421C2×Dic11⋊C4C2318yes—
422C2×Dic11⋊C4C2318yes—
423C2×C4×Dic11C2311yescharacteristic
424C2×C4×Dic11C2311yescharacteristic
425C2×C4×Dic11C2311yescharacteristic
426C2×C4×Dic11C2311yescharacteristic
427C2×C4×Dic11C2311yescharacteristic
428C2×C4×Dic11C2311yescharacteristic
429C2×C4×Dic11C2311yescharacteristic
430C2×C4×Dic11C2311yescharacteristic
431C2×C4×Dic11C2311yescharacteristic
432C2×C4×Dic11C2311yescharacteristic
433C2×C4×Dic11C2311yescharacteristic
434C2×C4×Dic11C2311yescharacteristic
435C2×C4×Dic11C2311yescharacteristic
436C2×C4×Dic11C2311yescharacteristic
437C2×C4×Dic11C2311yescharacteristic
438C2×C4×Dic11C2318yes—
439C2×C4×Dic11C2318yes—
440#66951C2318yes—
441#66951C2318yes—
442#66951C2318yes—
443#66951C2318yes—
444#66951C2318yes—
445#66951C2318yes—
446#66949C2318yes—
447#66949C2318yes—
448#66949C2318yes—
449#66949C2318yes—
450#66948C2318yes—
451#66947C2318yes—
452#66947C2318yes—
453#66947C2318yes—
454#66947C2318yes—
455#66946C2318yes—
456#66946C2318yes—
457#66945C2318yes—
458#66945C2318yes—
459#66945C2318yes—
460C4⋊C4×D11C2318yes—
461C4⋊C4×D11C2318yes—
462#66943C2318yes—
463#66943C2318yes—
464#66942C2318yes—
465#66942C2318yes—
466#66942C2318yes—
467#66942C2318yes—
468#66942C2318yes—
469#66942C2318yes—
470#66942C2318yes—
471#66942C2318yes—
472#66942C2318yes—
473#66942C2318yes—
474#66942C2318yes—
475#66942C2318yes—
476#66941C2318yes—
477#66940C2318yes—
478#66940C2318yes—
479#66940C2318yes—
480#66939C2318yes—
481#66939C2318yes—
482#66938C2318yes—
483#66938C2318yes—
484#66937C2318yes—
485#66937C2318yes—
486#66937C2318yes—
487#66937C2318yes—
488#66937C2318yes—
489#66937C2318yes—
490#66936C2318yes—
491#66936C2318yes—
492#66936C2318yes—
493#66936C2318yes—
494(C22⋊D11)⋊C4C2318yes—
495(C22⋊D11)⋊C4C2318yes—
496(C22⋊D11)⋊C4C2318yes—
497(C22⋊D11)⋊C4C2318yes—
498(C22⋊D11)⋊C4C2318yes—
499(C22⋊D11)⋊C4C2318yes—
500(C22⋊D11)⋊C4C2318yes—
501(C22⋊D11)⋊C4C2318yes—
502(C22⋊D11)⋊C4C2318yes—
503(C22⋊D11)⋊C4C2318yes—
504#66932C2318yes—
505#66932C2318yes—
506#66932C2318yes—
507#66932C2318yes—
508#66932C2318yes—
509#66932C2318yes—
510#66931C2318yes—
511#66931C2318yes—
512#66931C2318yes—
513#66931C2318yes—
514#66930C2318yes—
515#66930C2318yes—
516#66930C2318yes—
517#66930C2318yes—
518#66930C2318yes—
519#66930C2318yes—
520#66929C2318yes—
521#66929C2318yes—
522C4×D44C2318yes—
523#66925C2318yes—
524#66925C2318yes—
525#66925C2318yes—
526#66925C2318yes—
527C42×D11C2318yes—
528#66923C2318yes—
529C4×Dic22C2318yes—
530C4×Dic22C2318yes—
531C4×Dic22C2318yes—
532C2×#3512—111nomaximal, Sylow
533C24×C11C2411yescharacteristic
534C24×C11C2411yescharacteristic
535C24×C11C2411yescharacteristic
536C24×C11C2411yescharacteristic
537C23×D11C2411yescharacteristic
538C23×D11C2411yescharacteristic
539C23×D11C2411yescharacteristic
540C2×D4×C11—24no—
541C2×D4×C11—24no—
542C2×D4×C11—24no—
543C2×D4×C11—42no—
544C2×D4×C11—42no—
545C2×D4×C11—42no—
546C2×D4×C11C2414yes—
547C2×D4×C11C2414yes—
548C2×D4×C11C2414yes—
549C2×D4×C11C2414yes—
550C2×D4×C11C2414yes—
551C2×D4×C11C2414yes—
552C22×C4×C11—42no—
553C22×C4×C11—42no—
554C22×C4×C11—42no—
555C22×C4×C11—42no—
556C22×C4×C11—42no—
557C22×C4×C11—42no—
558C22×C4×C11C2411yescharacteristic
559C22×C4×C11C2411yescharacteristic
560C22×C4×C11C2411yescharacteristic
561C22×C4×C11C2411yescharacteristic
562C22×C4×C11C2411yescharacteristic
563C22×C4×C11C2411yescharacteristic
564C22×C4×C11C2411yescharacteristic
565C22×C4×C11C2411yescharacteristic
566C22×C4×C11C2411yescharacteristic
567C22×C4×C11C2411yescharacteristic
568C22×C4×C11C2411yescharacteristic
569C22×C4×C11C2414yes—
570C22×C4×C11C2414yes—
571C22×C4×C11C2414yes—
572C22×C4×C11C2414yes—
573C22×C4×C11C2414yes—
574C22×C4×C11C2414yes—
575C2×C22⋊D11—24no—
576C2×C22⋊D11—24no—
577C2×C22⋊D11—24no—
578C2×C22⋊D11—24no—
579C2×C22⋊D11—24no—
580C2×C22⋊D11—24no—
581C2×C22⋊D11—42no—
582C2×C22⋊D11—42no—
583C2×C22⋊D11—42no—
584C2×C22⋊D11—42no—
585C2×C22⋊D11—42no—
586C2×C22⋊D11—42no—
587C2×C22⋊D11C2414yes—
588C2×C22⋊D11C2414yes—
589C2×C22⋊D11C2414yes—
590C2×C22⋊D11C2414yes—
591C2×C22⋊D11C2414yes—
592C2×C22⋊D11C2414yes—
593C2×C22⋊D11C2414yes—
594C2×C22⋊D11C2414yes—
595C2×C22⋊D11C2414yes—
596C2×C22⋊D11C2414yes—
597C2×C22⋊D11C2414yes—
598C2×C22⋊D11C2414yes—
599C22×Dic11—24no—
600C22×Dic11—24no—
601C22×Dic11—24no—
602C22×Dic11—42no—
603C22×Dic11—42no—
604C22×Dic11—42no—
605C22×Dic11—42no—
606C22×Dic11—42no—
607C22×Dic11—42no—
608C22×Dic11#4118yes—
609C22×Dic11C2414yes—
610C22×Dic11C2414yes—
611C22×Dic11C2414yes—
612C22×Dic11C2411yescharacteristic
613C22×Dic11C2411yescharacteristic
614C22×Dic11C2411yescharacteristic
615C22×Dic11C2411yescharacteristic
616C22×Dic11C2411yescharacteristic
617C22×Dic11C2411yescharacteristic
618C22×Dic11C2411yescharacteristic
619C22×Dic11C2411yescharacteristic
620C22×Dic11C2411yescharacteristic
621C22×Dic11C2411yescharacteristic
622C22×Dic11C2411yescharacteristic
623C22×Dic11C2414yes—
624C22×Dic11C2414yes—
625C22×Dic11C2414yes—
626C22×Dic11C2414yes—
627C22×Dic11C2414yes—
628C22×Dic11C2414yes—
629C22×Dic11C2414yes—
630C22×Dic11C2411yescharacteristic
631C22×Dic11C2411yescharacteristic
632#4341—232no—
633#4341—232no—
634#4341—232no—
635C2×D44—42no—
636C2×D44—42no—
637C2×D44—42no—
638C2×D44C2414yes—
639C2×D44C2414yes—
640C2×D44C2414yes—
641C2×C4×D11—24no—
642C2×C4×D11—24no—
643C2×C4×D11—24no—
644C2×C4×D11—42no—
645C2×C4×D11—42no—
646C2×C4×D11—42no—
647C2×C4×D11—42no—
648C2×C4×D11—42no—
649C2×C4×D11—42no—
650C2×C4×D11C2414yes—
651C2×C4×D11C2414yes—
652C2×C4×D11C2414yes—
653C2×C4×D11C2414yes—
654C2×C4×D11C2414yes—
655C2×C4×D11C2414yes—
656C2×C4×D11C2414yes—
657C2×C4×D11C2414yes—
658C2×C4×D11C2414yes—
659C2×Dic22—24no—
660C2×Dic22—24no—
661C2×Dic22—24no—
662C2×Dic22C2414yes—
663C2×Dic22C2414yes—
664C2×Dic22C2414yes—
665C11×C4⋊C4C2414yes—
666C11×C4⋊C4C2414yes—
667C11×C4⋊C4C2414yes—
668C11×C4⋊C4C2414yes—
669C11×C4⋊C4C2414yes—
670C11×C4⋊C4C2414yes—
671C11×C4⋊C4C2414yes—
672C11×C4⋊C4C2414yes—
673C11×C4⋊C4C2414yes—
674C11×C4⋊C4C2414yes—
675C11×C22⋊C4C2414yes—
676C11×C22⋊C4C2414yes—
677C11×C22⋊C4C2414yes—
678C11×C22⋊C4C2414yes—
679C11×C22⋊C4C2414yes—
680C11×C22⋊C4C2414yes—
681C11×C22⋊C4C2414yes—
682C11×C22⋊C4C2414yes—
683C11×C22⋊C4C2414yes—
684C11×C22⋊C4C2414yes—
685C42×C11C2414yes—
686C42×C11C2414yes—
687C42×C11C2414yes—
688C22⋊Dic11C2414yes—
689C22⋊Dic11C2414yes—
690C22⋊Dic11C2414yes—
691C22⋊Dic11C2414yes—
692C22⋊Dic11C2414yes—
693C22⋊Dic11C2414yes—
694C22⋊Dic11C2414yes—
695C22⋊Dic11C2414yes—
696C22⋊Dic11C2414yes—
697C22⋊Dic11C2414yes—
698(C2×D11)⋊C4C2414yes—
699(C2×D11)⋊C4C2414yes—
700(C2×D11)⋊C4C2414yes—
701(C2×D11)⋊C4C2414yes—
702(C2×D11)⋊C4C2414yes—
703(C2×D11)⋊C4C2414yes—
704(C2×D11)⋊C4C2414yes—
705(C2×D11)⋊C4C2414yes—
706(C2×D11)⋊C4C2414yes—
707(C2×D11)⋊C4C2414yes—
708(C2×D11)⋊C4C2414yes—
709(C2×D11)⋊C4C2414yes—
710(C2×D11)⋊C4C2414yes—
711(C2×D11)⋊C4C2414yes—
712(C2×D11)⋊C4C2414yes—
713(C2×D11)⋊C4C2414yes—
714(C2×D11)⋊C4C2414yes—
715(C2×D11)⋊C4C2414yes—
716C4⋊Dic11C2414yes—
717C4⋊Dic11C2414yes—
718C4⋊Dic11C2414yes—
719C4⋊Dic11C2414yes—
720C4⋊Dic11C2414yes—
721C4⋊Dic11C2414yes—
722C4⋊Dic11C2414yes—
723C4⋊Dic11C2414yes—
724C4⋊Dic11C2414yes—
725C4⋊Dic11C2414yes—
726Dic11⋊C4C2414yes—
727Dic11⋊C4C2414yes—
728Dic11⋊C4C2414yes—
729Dic11⋊C4C2414yes—
730Dic11⋊C4C2414yes—
731Dic11⋊C4C2414yes—
732Dic11⋊C4C2414yes—
733Dic11⋊C4C2414yes—
734Dic11⋊C4C2414yes—
735Dic11⋊C4C2414yes—
736Dic11⋊C4C2414yes—
737Dic11⋊C4C2414yes—
738Dic11⋊C4C2414yes—
739Dic11⋊C4C2414yes—
740Dic11⋊C4C2414yes—
741Dic11⋊C4C2414yes—
742Dic11⋊C4C2414yes—
743Dic11⋊C4C2414yes—
744Dic11⋊C4C2414yes—
745Dic11⋊C4C2414yes—
746Dic11⋊C4C2414yes—
747Dic11⋊C4C2414yes—
748Dic11⋊C4C2414yes—
749Dic11⋊C4C2414yes—
750Dic11⋊C4C2414yes—
751Dic11⋊C4C2414yes—
752Dic11⋊C4C2414yes—
753Dic11⋊C4C2414yes—
754Dic11⋊C4C2414yes—
755Dic11⋊C4C2414yes—
756C4×Dic11C2414yes—
757C4×Dic11C2414yes—
758C4×Dic11C2414yes—
759C4×Dic11C2414yes—
760C4×Dic11C2414yes—
761C4×Dic11C2414yes—
762C4×Dic11C2414yes—
763C4×Dic11C2414yes—
764C4×Dic11C2414yes—
765C4×Dic11C2414yes—
766C4×Dic11C2414yes—
767C4×Dic11C2414yes—
768C4×Dic11C2414yes—
769C4×Dic11C2414yes—
770C4×Dic11C2414yes—
771#3512—1132no—
772C2×#553—111no—
773C2×#553—111no—
774C2×#553—111no—
775C2×#553—111no—
776C2×#553—111no—
777C2×#553—111no—
778C2×#553—111no—
779C2×#553—111no—
780C2×#553—111no—
781C2×#553—111no—
782C2×#553—111no—
783C2×#553D1111yescharacteristic, complemented
784C2×#552—111no—
785C2×#552—111no—
786C2×#552—111no—
787C2×#552—111no—
788C2×#541—111no—
789C2×#541—111no—
790C2×#540—111no—
791C2×#540—111no—
792C2×#537—111no—
793C2×#537—111no—
794C2×#532—111no—
795C2×#529—111no—
796C2×#529—111no—
797C2×#529—111no—
798C2×#529—111no—
799C22×#125—111no—
800C2×#520—111no—
801C2×#520—111no—
802C2×C4×#41—111no—
803C23×C11—22no—
804C23×C11—22no—
805C23×C11—22no—
806C23×C11—22no—
807C23×C11—22no—
808C23×C11—22no—
809C23×C11—22no—
810C23×C11—22no—
811C23×C11—22no—
812C23×C11—22no—
813C23×C11—22no—
814C23×C11C2×#4114yes—
815C23×C11C2512yes—
816C23×C11C2512yes—
817C23×C11C2512yes—
818C23×C11C2512yes—
819C23×C11C2511yescharacteristic
820C22×D11—22no—
821C22×D11—22no—
822C22×D11—22no—
823C22×D11—22no—
824C22×D11—22no—
825C22×D11—22no—
826C22×D11—22no—
827C22×D11—22no—
828C22×D11—22no—
829C22×D11C2512yes—
830C22×D11C2512yes—
831C22×D11C2512yes—
832D4×C11—28no—
833D4×C11—28no—
834D4×C11—28no—
835D4×C11—44no—
836D4×C11—44no—
837D4×C11—44no—
838C2×C4×C11—22no—
839C2×C4×C11—22no—
840C2×C4×C11—22no—
841C2×C4×C11—22no—
842C2×C4×C11—22no—
843C2×C4×C11—22no—
844C2×C4×C11—22no—
845C2×C4×C11—22no—
846C2×C4×C11—22no—
847C2×C4×C11—22no—
848C2×C4×C11—22no—
849C2×C4×C11—44no—
850C2×C4×C11—44no—
851C2×C4×C11—44no—
852C2×C4×C11—44no—
853C2×C4×C11—44no—
854C2×C4×C11—44no—
855C2×C4×C11C2512yes—
856C2×C4×C11C2512yes—
857C2×C4×C11C2512yes—
858C2×C4×C11C2512yes—
859C2×C4×C11C2512yes—
860C2×C4×C11C2512yes—
861C2×C4×C11C2512yes—
862C2×C4×C11C2512yes—
863C2×C4×C11C2512yes—
864C2×C4×C11C2512yes—
865C2×C4×C11C2512yes—
866C22⋊D11—28no—
867C22⋊D11—28no—
868C22⋊D11—28no—
869C22⋊D11—28no—
870C22⋊D11—28no—
871C22⋊D11—28no—
872C22⋊D11—44no—
873C22⋊D11—44no—
874C22⋊D11—44no—
875C22⋊D11—44no—
876C22⋊D11—44no—
877C22⋊D11—44no—
878C2×Dic11—22no—
879C2×Dic11—22no—
880C2×Dic11—22no—
881C2×Dic11—22no—
882C2×Dic11—22no—
883C2×Dic11—22no—
884C2×Dic11—22no—
885C2×Dic11—22no—
886C2×Dic11—22no—
887C2×Dic11—22no—
888C2×Dic11—22no—
889C2×Dic11—28no—
890C2×Dic11—28no—
891C2×Dic11—28no—
892C2×Dic11—44no—
893C2×Dic11—44no—
894C2×Dic11—44no—
895C2×Dic11—44no—
896C2×Dic11—44no—
897C2×Dic11—44no—
898C2×Dic11C2×#4114yes—
899C2×Dic11C2×#4114yes—
900C2×Dic11C2×#41116yes—
901C2×Dic11C2512yes—
902C2×Dic11C2512yes—
903C2×Dic11C2512yes—
904C2×Dic11C2512yes—
905C2×Dic11C2512yes—
906C2×Dic11C2512yes—
907C2×Dic11C2512yes—
908C2×Dic11C2512yes—
909C2×Dic11C2512yes—
910C2×Dic11C2512yes—
911C2×Dic11C2512yes—
912C2×Dic11C2512yes—
913C2×Dic11C2512yes—
914D44—44no—
915D44—44no—
916D44—44no—
917C4×D11—28no—
918C4×D11—28no—
919C4×D11—28no—
920C4×D11—44no—
921C4×D11—44no—
922C4×D11—44no—
923C4×D11—44no—
924C4×D11—44no—
925C4×D11—44no—
926Dic22—28no—
927Dic22—28no—
928Dic22—28no—
929C22×#41—111no—
930C22×#41—111no—
931C22×#41—111no—
932#553—1116no—
933#553—1116no—
934#553—1116no—
935#553—1116no—
936#553—1116no—
937#553—1116no—
938#553—1116no—
939#553—1116no—
940#553—1116no—
941#553—1116no—
942#553—1116no—
943#553C2×D11116yescomplemented
944#552—1116no—
945#552—1116no—
946#552—1116no—
947#552—1116no—
948#541—1116no—
949#541—1116no—
950#540—1116no—
951#540—1116no—
952#537—1116no—
953#537—1116no—
954#532—1116no—
955C2×C4⋊Q8—111no—
956C2×#127—111no—
957#529—1116no—
958#529—1116no—
959#529—1116no—
960#529—1116no—
961C2×#126—111no—
962C2×#126—111no—
963C2×#126—111no—
964C2×#126—111no—
965C2×#126—111no—
966C2×#126—111no—
967C2×#126—111no—
968C2×#126—111no—
969C2×#126—111no—
970C2×#126—111no—
971C2×#126—111no—
972C2×#126—111no—
973C2×#126—111no—
974C2×#126—111no—
975C2×#126C2×D1111yescharacteristic
976C2×#126C2×D1111yescharacteristic
977C2×#125—111no—
978C2×#125—111no—
979C2×#125—111no—
980C2×#125—111no—
981C2×#125—111no—
982C2×#125—111no—
983C2×#125—111no—
984C2×#125—111no—
985C2×#125—111no—
986C2×#125—111no—
987C2×#125—111no—
988C2×#125—111no—
989C2×#125—1116no—
990C2×#125—111no—
991C2×#125—111no—
992C2×#125—111no—
993C2×#125C2×D1111yescharacteristic
994C2×#124—111no—
995C2×#124—111no—
996C2×#123—111no—
997C2×#123—111no—
998C2×#123—111no—
999C2×#123—111no—
1000C2×#123—111no—
1001C2×#123—111no—
1002C2×#123—111no—
1003C2×#123—111no—
1004C2×#123—111no—
1005C2×#123—111no—
1006C2×#123—111no—
1007C2×#123—111no—
1008C2×#123—111no—
1009C2×#123—111no—
1010C2×#123C2×D1111yescharacteristic
1011C2×#123C2×D1111yescharacteristic
1012C2×C22⋊Q8—111no—
1013C2×C22⋊Q8—111no—
1014C2×C22⋊Q8—111no—
1015C2×C22⋊Q8—111no—
1016C2×C22⋊Q8—111no—
1017C2×C22⋊Q8—111no—
1018C2×C22⋊Q8—111no—
1019C2×C22⋊Q8—111no—
1020C2×#121—111no—
1021C2×#121—111no—
1022C2×#121—111no—
1023C2×#121—111no—
1024C2×#121—111no—
1025C2×#121—111no—
1026C2×#121—111no—
1027C2×#121—111no—
1028C2×#121—111no—
1029C2×#121—111no—
1030C2×#121—111no—
1031C2×#121—111no—
1032C2×#121—111no—
1033C2×#121—111no—
1034C2×#121—111no—
1035C2×#121—111no—
1036C2×#121—111no—
1037C2×#121—111no—
1038C2×#121—111no—
1039C2×#121—111no—
1040C2×#121—111no—
1041C2×#121—111no—
1042C2×#121—111no—
1043C2×#121—111no—
1044C2×#121C2×D1111yescharacteristic
1045C2×#121C2×D1111yescharacteristic
1046C2×#121C2×D1111yescharacteristic
1047C2×#121C2×D1111yescharacteristic
1048#520—1116no—
1049#520—1116no—
1050C4×#41—1116no—
1051C2×C4×Q8—111no—
1052C2×C4×Q8—111no—
1053C2×C4×Q8—111no—
1054C2×C4×Q8—111no—
1055C2×C4×Q8—111no—
1056C2×C4×Q8—111no—
1057C2×C4×D4—111no—
1058C2×C4×D4—111no—
1059C2×C4×D4—111no—
1060C2×C4×D4—111no—
1061C2×C4×D4—111no—
1062C2×C4×D4—111no—
1063C2×C4×D4—111no—
1064C2×C4×D4—111no—
1065C2×C4×D4—111no—
1066C2×C4×D4—111no—
1067C2×C4×D4—111no—
1068C2×C4×D4—111no—
1069C2×C4×D4—111no—
1070C2×C4×D4—111no—
1071C2×C4×D4—111no—
1072C2×C4×D4—111no—
1073C2×C4×D4—111no—
1074C2×C4×D4—111no—
1075C2×C4×D4—111no—
1076C2×C4×D4—111no—
1077C2×C4×D4—111no—
1078C2×C4×D4—111no—
1079C2×C4×D4—111no—
1080C2×C4×D4—111no—
1081C2×C4×D4—111no—
1082C2×C4×D4—111no—
1083C2×C4×D4C2×D1111yescharacteristic
1084C2×C4×D4C2×D1111yescharacteristic
1085C2×C4×D4C2×D1111yescharacteristic
1086C2×C4×D4C2×D1111yescharacteristic
1087C2×#117—111no—
1088C2×#117—111no—
1089C2×#117—111no—
1090C2×#117—111no—
1091C2×#117—111no—
1092C2×#117—111no—
1093C2×#117—111no—
1094C2×#117—111no—
1095C2×#117—111no—
1096C2×#117—111no—
1097C2×#117—111no—
1098C2×#117—111no—
1099C2×#117—111no—
1100C2×#117—111no—
1101C2×#117C2×D1111yescharacteristic
1102C22×C4⋊C4—111no—
1103C22×C4⋊C4—111no—
1104C22×C4⋊C4—111no—
1105C22×C4⋊C4—111no—
1106C22×C4⋊C4—111no—
1107C22×C4⋊C4—111no—
1108C22×C4⋊C4—111no—
1109C22×C4⋊C4—111no—
1110C22×C4⋊C4—111no—
1111C22×C4⋊C4C2×D1111yescharacteristic
1112C22×C42—111no—
1113C22×C42—111no—
1114C22×C42—111no—
1115C22×C11—22no—
1116C22×C11—22no—
1117C22×C11—28no—
1118C22×C11—22no—
1119C22×C11—22no—
1120C22×C11—22no—
1121C22×C11—22no—
1122C22×C11—22no—
1123C22×C11—22no—
1124C22×C11—22no—
1125C22×C11—22no—
1126C22×C11—22no—
1127C22×C11—44no—
1128C22×C11—44no—
1129C22×C11—44no—
1130C22×C11C22×#4114yes—
1131C22×C11C22×#4112yes—
1132C22×C11#58512yes—
1133C22×C11#58512yes—
1134C22×C11C2611yescharacteristic
1135C2×D11—22no—
1136C2×D11—22no—
1137C2×D11—22no—
1138C2×D11—22no—
1139C2×D11—22no—
1140C2×D11—22no—
1141C2×D11—22no—
1142C2×D11—22no—
1143C2×D11—22no—
1144C2×D11—44no—
1145C2×D11—44no—
1146C2×D11—44no—
1147C4×C11—22no—
1148C4×C11—22no—
1149C4×C11—22no—
1150C4×C11—22no—
1151C4×C11—22no—
1152C4×C11—22no—
1153C4×C11—22no—
1154C4×C11—22no—
1155C4×C11—22no—
1156C4×C11—22no—
1157C4×C11—22no—
1158Dic11—22no—
1159Dic11—22no—
1160Dic11—22no—
1161Dic11—22no—
1162Dic11—22no—
1163Dic11—22no—
1164Dic11—22no—
1165Dic11—22no—
1166Dic11—22no—
1167Dic11—22no—
1168Dic11—22no—
1169Dic11C22×#4114yes—
1170Dic11C22×#4114yes—
1171C2×#41—118no—
1172C2×#41—118no—
1173C2×#41—118no—
1174C2×#41—228no—
1175C2×#41—228no—
1176C2×#41—228no—
1177C22×Q8—111no—
1178C22×Q8—111no—
1179C22×Q8—111no—
1180C22×D4—111no—
1181C22×D4—111no—
1182C22×D4—111no—
1183C22×D4—111no—
1184C22×D4—111no—
1185C22×D4—111no—
1186C22×D4—111no—
1187C22×D4—111no—
1188C22×D4—111no—
1189C22×D4—111no—
1190C22×D4—111no—
1191C22×D4—111no—
1192C22×D4—111no—
1193C22×D4—111no—
1194C22×D4—111no—
1195C22×D4C22×D1111yescharacteristic
1196C22×D4C22×D1111yescharacteristic
1197C22×D4C22×D1111yescharacteristic
1198C22×D4C22×D1111yescharacteristic
1199C22×D4C22×D1111yescharacteristic
1200C22×D4C22×D1111yescharacteristic
1201C23×C4—111no—
1202C23×C4—111no—
1203C23×C4—111no—
1204C23×C4—111no—
1205C23×C4—111no—
1206C23×C4—111no—
1207C23×C4—111no—
1208C23×C4—111no—
1209C23×C4—111no—
1210C23×C4—111no—
1211C23×C4—111no—
1212C23×C4—111no—
1213C23×C4—111no—
1214C23×C4—111no—
1215C23×C4—111no—
1216C23×C4—111no—
1217C23×C4—111no—
1218C23×C4—111no—
1219C23×C4—111no—
1220C23×C4C22×D1111yescharacteristic
1221C23×C4C22×D1111yescharacteristic
1222C23×C4C22×D1111yescharacteristic
1223C23×C4C22×D1111yescharacteristic
1224C23×C4C22×D1111yescharacteristic
1225C23×C4C22×D1111yescharacteristic
1226C4⋊Q8—118no—
1227#127—118no—
1228#126—118no—
1229#126—118no—
1230#126—118no—
1231#126—118no—
1232#126—118no—
1233#126—118no—
1234#126—118no—
1235#126—118no—
1236#126—118no—
1237#126—118no—
1238#126—118no—
1239#126—118no—
1240#126—118no—
1241#126—118no—
1242#126C22×D1118yes—
1243#126C22×D1118yes—
1244#125—118no—
1245#125—118no—
1246#125—118no—
1247#125—118no—
1248#125—118no—
1249#125—118no—
1250#125—118no—
1251#125—118no—
1252#125—118no—
1253#125—118no—
1254#125—118no—
1255#125—118no—
1256#125—118no—
1257#125—118no—
1258#125—118no—
1259#125C22×D1118yes—
1260#124—118no—
1261#124—118no—
1262#123—118no—
1263#123—118no—
1264#123—118no—
1265#123—118no—
1266#123—118no—
1267#123—118no—
1268#123—118no—
1269#123—118no—
1270#123—118no—
1271#123—118no—
1272#123—118no—
1273#123—118no—
1274#123—118no—
1275#123—118no—
1276#123C22×D1118yes—
1277#123C22×D1118yes—
1278C22⋊Q8—118no—
1279C22⋊Q8—118no—
1280C22⋊Q8—118no—
1281C22⋊Q8—118no—
1282C22⋊Q8—118no—
1283C22⋊Q8—118no—
1284C22⋊Q8—118no—
1285C22⋊Q8—118no—
1286#121—118no—
1287#121—118no—
1288#121—118no—
1289#121—118no—
1290#121—118no—
1291#121—118no—
1292#121—118no—
1293#121—118no—
1294#121—118no—
1295#121—118no—
1296#121—118no—
1297#121—118no—
1298#121—118no—
1299#121—118no—
1300#121—118no—
1301#121—118no—
1302#121—118no—
1303#121—118no—
1304#121—118no—
1305#121—118no—
1306#121—118no—
1307#121—118no—
1308#121—118no—
1309#121—118no—
1310#121C22×D1118yes—
1311#121C22×D1118yes—
1312#121C22×D1118yes—
1313#121C22×D1118yes—
1314C4×Q8—118no—
1315C4×Q8—118no—
1316C4×Q8—118no—
1317C4×Q8—118no—
1318C4×Q8—118no—
1319C4×Q8—118no—
1320C4×D4—118no—
1321C4×D4—118no—
1322C4×D4—118no—
1323C4×D4—118no—
1324C4×D4—118no—
1325C4×D4—118no—
1326C4×D4—118no—
1327C4×D4—118no—
1328C4×D4—118no—
1329C4×D4—118no—
1330C4×D4—118no—
1331C4×D4—118no—
1332C4×D4—118no—
1333C4×D4—118no—
1334C4×D4—118no—
1335C4×D4—118no—
1336C4×D4—118no—
1337C4×D4—118no—
1338C4×D4—118no—
1339C4×D4—118no—
1340C4×D4—118no—
1341C4×D4—118no—
1342C4×D4—118no—
1343C4×D4—118no—
1344C4×D4—118no—
1345C4×D4—118no—
1346C4×D4C22×D1118yes—
1347C4×D4C22×D1118yes—
1348C4×D4C22×D1118yes—
1349C4×D4C22×D1118yes—
1350#117—118no—
1351#117—118no—
1352#117—118no—
1353#117—118no—
1354#117—118no—
1355#117—118no—
1356#117—118no—
1357#117—118no—
1358#117—118no—
1359#117—118no—
1360#117—118no—
1361#117—118no—
1362#117—118no—
1363#117—118no—
1364#117C22×D1118yes—
1365C2×C4⋊C4—111no—
1366C2×C4⋊C4—111no—
1367C2×C4⋊C4—111no—
1368C2×C4⋊C4—111no—
1369C2×C4⋊C4—111no—
1370C2×C4⋊C4—111no—
1371C2×C4⋊C4—111no—
1372C2×C4⋊C4—111no—
1373C2×C4⋊C4—111no—
1374C2×C4⋊C4—111no—
1375C2×C4⋊C4—111no—
1376C2×C4⋊C4—111no—
1377C2×C4⋊C4—111no—
1378C2×C4⋊C4—111no—
1379C2×C4⋊C4—111no—
1380C2×C4⋊C4—111no—
1381C2×C4⋊C4—111no—
1382C2×C4⋊C4—111no—
1383C2×C4⋊C4—111no—
1384C2×C4⋊C4—111no—
1385C2×C4⋊C4—111no—
1386C2×C4⋊C4—111no—
1387C2×C4⋊C4—118no—
1388C2×C4⋊C4—118no—
1389C2×C4⋊C4—118no—
1390C2×C4⋊C4—118no—
1391C2×C4⋊C4—111no—
1392C2×C4⋊C4—111no—
1393C2×C4⋊C4—111no—
1394C2×C4⋊C4—111no—
1395C2×C4⋊C4—111no—
1396C2×C4⋊C4—111no—
1397C2×C4⋊C4—118no—
1398C2×C4⋊C4—118no—
1399C2×C4⋊C4—118no—
1400C2×C4⋊C4—111no—
1401C2×C4⋊C4—111no—
1402C2×C4⋊C4—111no—
1403C2×C4⋊C4—111no—
1404C2×C4⋊C4—111no—
1405C2×C4⋊C4—111no—
1406C2×C4⋊C4—111no—
1407C2×C4⋊C4—111no—
1408C2×C4⋊C4—111no—
1409C2×C4⋊C4—111no—
1410C2×C4⋊C4—111no—
1411C2×C4⋊C4—111no—
1412C2×C4⋊C4—118no—
1413C2×C4⋊C4—118no—
1414C2×C4⋊C4C22×D1111yescharacteristic
1415C2×C4⋊C4C22×D1111yescharacteristic
1416C2×C4⋊C4C22×D1111yescharacteristic
1417C2×C4⋊C4C22×D1111yescharacteristic
1418C2×C4⋊C4C22×D1111yescharacteristic
1419C2×C4⋊C4C22×D1111yescharacteristic
1420C2×C4⋊C4C22×D1118yes—
1421C2×C4⋊C4C22×D1111yescharacteristic
1422C2×C4⋊C4C22×D1111yescharacteristic
1423C2×C4⋊C4C22×D1111yescharacteristic
1424C2×C4⋊C4C22×D1111yescharacteristic
1425C2×C22⋊C4—111no—
1426C2×C22⋊C4—111no—
1427C2×C22⋊C4—111no—
1428C2×C22⋊C4—111no—
1429C2×C22⋊C4—111no—
1430C2×C22⋊C4—111no—
1431C2×C22⋊C4—111no—
1432C2×C22⋊C4—111no—
1433C2×C22⋊C4—111no—
1434C2×C22⋊C4—111no—
1435C2×C22⋊C4—111no—
1436C2×C22⋊C4—111no—
1437C2×C22⋊C4—111no—
1438C2×C22⋊C4—111no—
1439C2×C22⋊C4—111no—
1440C2×C22⋊C4—111no—
1441C2×C22⋊C4—111no—
1442C2×C22⋊C4—111no—
1443C2×C22⋊C4—111no—
1444C2×C22⋊C4—111no—
1445C2×C22⋊C4—111no—
1446C2×C22⋊C4—111no—
1447C2×C22⋊C4—111no—
1448C2×C22⋊C4—111no—
1449C2×C22⋊C4—111no—
1450C2×C22⋊C4—111no—
1451C2×C22⋊C4—111no—
1452C2×C22⋊C4—111no—
1453C2×C22⋊C4C22×D1111yescharacteristic
1454C2×C22⋊C4C22×D1111yescharacteristic
1455C2×C22⋊C4C22×D1111yescharacteristic
1456C2×C22⋊C4C22×D1111yescharacteristic
1457C2×C22⋊C4C22×D1111yescharacteristic
1458C2×C22⋊C4C22×D1111yescharacteristic
1459C2×C22⋊C4C22×D1111yescharacteristic
1460C2×C22⋊C4C22×D1111yescharacteristic
1461C2×C22⋊C4C22×D1111yescharacteristic
1462C2×C22⋊C4C22×D1111yescharacteristic
1463C2×C42—111no—
1464C2×C42—111no—
1465C2×C42—111no—
1466C2×C42—111no—
1467C2×C42—111no—
1468C2×C42—111no—
1469C2×C42—111no—
1470C2×C42—111no—
1471C2×C42—111no—
1472C2×C42—111no—
1473C2×C42—111no—
1474C2×C42—111no—
1475C2×C42—111no—
1476C2×C42—111no—
1477C2×C42—118no—
1478C2×C42—118no—
1479C2×C42—111no—
1480C2×C42—118no—
1481C2×C42C22×D1111yescharacteristic
1482C2×C42C22×D1111yescharacteristic
1483C2×C42C22×D1111yescharacteristic
1484C2×C11—24no—
1485C2×C11—42no—
1486C2×C11—42no—
1487C2×C11—42no—
1488C2×C11#351214yescomplemented
1489C2×C11C23×#4111yescharacteristic
1490C2×C11C2×#58511yescharacteristic
1491C2×C11C2×#58511yescharacteristic
1492D11—42no—
1493D11—42no—
1494D11—42no—
1495C24—111no—
1496C24—111no—
1497C24—111no—
1498C24C23×D1111yescharacteristic
1499C24C23×D1111yescharacteristic
1500C24C23×D1111yescharacteristic
1501C24C23×D1111yescharacteristic
1502#41—2232no—
1503#41—2232no—
1504#41—2232no—
1505C2×Q8—114no—
1506C2×Q8—114no—
1507C2×Q8—114no—
1508C2×Q8—224no—
1509C2×Q8—224no—
1510C2×Q8—224no—
1511C2×D4—24no—
1512C2×D4—24no—
1513C2×D4—24no—
1514C2×D4—42no—
1515C2×D4—42no—
1516C2×D4—42no—
1517C2×D4—114no—
1518C2×D4—114no—
1519C2×D4—114no—
1520C2×D4—114no—
1521C2×D4—114no—
1522C2×D4—114no—
1523C2×D4—114no—
1524C2×D4—114no—
1525C2×D4—114no—
1526C2×D4—114no—
1527C2×D4—114no—
1528C2×D4—114no—
1529C2×D4—114no—
1530C2×D4—114no—
1531C2×D4—114no—
1532C2×D4—224no—
1533C2×D4—224no—
1534C2×D4—224no—
1535C2×D4—224no—
1536C2×D4—224no—
1537C2×D4—224no—
1538C2×D4—442no—
1539C2×D4—442no—
1540C2×D4—442no—
1541C2×D4—442no—
1542C2×D4—442no—
1543C2×D4—442no—
1544C2×D4—442no—
1545C2×D4—442no—
1546C2×D4—442no—
1547C2×D4C23×D1114yes—
1548C2×D4C23×D1114yes—
1549C2×D4C23×D1114yes—
1550C2×D4C23×D1114yes—
1551C2×D4C23×D1114yes—
1552C2×D4C23×D1114yes—
1553C22×C4—42no—
1554C22×C4—42no—
1555C22×C4—42no—
1556C22×C4—42no—
1557C22×C4—42no—
1558C22×C4—42no—
1559C22×C4—118no—
1560C22×C4—114no—
1561C22×C4—111no—
1562C22×C4—111no—
1563C22×C4—114no—
1564C22×C4—114no—
1565C22×C4—114no—
1566C22×C4—111no—
1567C22×C4—111no—
1568C22×C4—111no—
1569C22×C4—111no—
1570C22×C4—111no—
1571C22×C4—111no—
1572C22×C4—111no—
1573C22×C4—111no—
1574C22×C4—111no—
1575C22×C4—111no—
1576C22×C4—111no—
1577C22×C4—114no—
1578C22×C4—114no—
1579C22×C4—114no—
1580C22×C4—114no—
1581C22×C4—114no—
1582C22×C4—114no—
1583C22×C4—114no—
1584C22×C4—114no—
1585C22×C4—114no—
1586C22×C4—114no—
1587C22×C4—114no—
1588C22×C4—114no—
1589C22×C4—114no—
1590C22×C4—114no—
1591C22×C4—114no—
1592C22×C4—224no—
1593C22×C4—224no—
1594C22×C4—224no—
1595C22×C4—224no—
1596C22×C4—224no—
1597C22×C4—224no—
1598C22×C4—442no—
1599C22×C4—442no—
1600C22×C4—442no—
1601C22×C4—442no—
1602C22×C4—442no—
1603C22×C4—442no—
1604C22×C4—442no—
1605C22×C4—442no—
1606C22×C4—442no—
1607C22×C4—442no—
1608C22×C4—442no—
1609C22×C4—442no—
1610C22×C4C23×D1111yescharacteristic
1611C22×C4C23×D1111yescharacteristic
1612C22×C4C23×D1111yescharacteristic
1613C22×C4C23×D1111yescharacteristic
1614C22×C4C23×D1111yescharacteristic
1615C22×C4C23×D1111yescharacteristic
1616C22×C4C23×D1111yescharacteristic
1617C22×C4C23×D1111yescharacteristic
1618C22×C4C23×D1111yescharacteristic
1619C22×C4C23×D1111yescharacteristic
1620C22×C4C23×D1111yescharacteristic
1621C22×C4C23×D1114yes—
1622C22×C4C23×D1114yes—
1623C22×C4C23×D1114yes—
1624C22×C4C23×D1114yes—
1625C22×C4C23×D1114yes—
1626C22×C4C23×D1114yes—
1627C4⋊C4—114no—
1628C4⋊C4—114no—
1629C4⋊C4—114no—
1630C4⋊C4—114no—
1631C4⋊C4—114no—
1632C4⋊C4—114no—
1633C4⋊C4—114no—
1634C4⋊C4—114no—
1635C4⋊C4—114no—
1636C4⋊C4—114no—
1637C4⋊C4—114no—
1638C4⋊C4—114no—
1639C4⋊C4—114no—
1640C4⋊C4—114no—
1641C4⋊C4—114no—
1642C4⋊C4—114no—
1643C4⋊C4—114no—
1644C4⋊C4—114no—
1645C4⋊C4—114no—
1646C4⋊C4—114no—
1647C4⋊C4—114no—
1648C4⋊C4—114no—
1649C4⋊C4—114no—
1650C4⋊C4—114no—
1651C4⋊C4—114no—
1652C4⋊C4—114no—
1653C4⋊C4—114no—
1654C4⋊C4—114no—
1655C4⋊C4—114no—
1656C4⋊C4—114no—
1657C4⋊C4—114no—
1658C4⋊C4—114no—
1659C4⋊C4—114no—
1660C4⋊C4—114no—
1661C4⋊C4—114no—
1662C4⋊C4—114no—
1663C4⋊C4—114no—
1664C4⋊C4—114no—
1665C4⋊C4—114no—
1666C4⋊C4—114no—
1667C4⋊C4C23×D1114yes—
1668C4⋊C4C23×D1114yes—
1669C4⋊C4C23×D1114yes—
1670C4⋊C4C23×D1114yes—
1671C4⋊C4C23×D1114yes—
1672C4⋊C4C23×D1114yes—
1673C4⋊C4C23×D1114yes—
1674C4⋊C4C23×D1114yes—
1675C4⋊C4C23×D1114yes—
1676C4⋊C4C23×D1114yes—
1677C22⋊C4—114no—
1678C22⋊C4—114no—
1679C22⋊C4—114no—
1680C22⋊C4—114no—
1681C22⋊C4—114no—
1682C22⋊C4—114no—
1683C22⋊C4—114no—
1684C22⋊C4—114no—
1685C22⋊C4—114no—
1686C22⋊C4—114no—
1687C22⋊C4—114no—
1688C22⋊C4—114no—
1689C22⋊C4—114no—
1690C22⋊C4—114no—
1691C22⋊C4—114no—
1692C22⋊C4—114no—
1693C22⋊C4—114no—
1694C22⋊C4—114no—
1695C22⋊C4—114no—
1696C22⋊C4—114no—
1697C22⋊C4—114no—
1698C22⋊C4—114no—
1699C22⋊C4—114no—
1700C22⋊C4—114no—
1701C22⋊C4—114no—
1702C22⋊C4—114no—
1703C22⋊C4—114no—
1704C22⋊C4—114no—
1705C22⋊C4C23×D1114yes—
1706C22⋊C4C23×D1114yes—
1707C22⋊C4C23×D1114yes—
1708C22⋊C4C23×D1114yes—
1709C22⋊C4C23×D1114yes—
1710C22⋊C4C23×D1114yes—
1711C22⋊C4C23×D1114yes—
1712C22⋊C4C23×D1114yes—
1713C22⋊C4C23×D1114yes—
1714C22⋊C4C23×D1114yes—
1715C42—114no—
1716C42—114no—
1717C42—114no—
1718C42—114no—
1719C42—114no—
1720C42—114no—
1721C42—114no—
1722C42—114no—
1723C42—114no—
1724C42—114no—
1725C42—114no—
1726C42—114no—
1727C42—114no—
1728C42—114no—
1729C42—114no—
1730C42C23×D1114yes—
1731C42C23×D1114yes—
1732C42C23×D1114yes—
1733C11C2×#351211yescharacteristic, complemented, Sylow
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—112no—
1746C23—112no—
1747C23—112no—
1748C23—222no—
1749C23—222no—
1750C23—222no—
1751C23—222no—
1752C23—222no—
1753C23—222no—
1754C23—222no—
1755C23—222no—
1756C23—222no—
1757C23#41×D1114yes—
1758C23C24×D1112yes—
1759C23C24×D1112yes—
1760C23C24×D1112yes—
1761C23C24×D1112yes—
1762C23C24×D1111yescharacteristic
1763Q8—228no—
1764Q8—228no—
1765Q8—228no—
1766D4—28no—
1767D4—28no—
1768D4—28no—
1769D4—44no—
1770D4—44no—
1771D4—44no—
1772D4—228no—
1773D4—228no—
1774D4—228no—
1775D4—228no—
1776D4—228no—
1777D4—228no—
1778D4—444no—
1779D4—444no—
1780D4—444no—
1781D4—444no—
1782D4—444no—
1783D4—444no—
1784D4—444no—
1785D4—444no—
1786D4—444no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—44no—
1799C2×C4—44no—
1800C2×C4—44no—
1801C2×C4—44no—
1802C2×C4—44no—
1803C2×C4—44no—
1804C2×C4—114no—
1805C2×C4—114no—
1806C2×C4—1116no—
1807C2×C4—112no—
1808C2×C4—112no—
1809C2×C4—112no—
1810C2×C4—112no—
1811C2×C4—112no—
1812C2×C4—112no—
1813C2×C4—112no—
1814C2×C4—112no—
1815C2×C4—112no—
1816C2×C4—112no—
1817C2×C4—112no—
1818C2×C4—112no—
1819C2×C4—112no—
1820C2×C4—228no—
1821C2×C4—228no—
1822C2×C4—228no—
1823C2×C4—228no—
1824C2×C4—228no—
1825C2×C4—228no—
1826C2×C4—222no—
1827C2×C4—222no—
1828C2×C4—222no—
1829C2×C4—222no—
1830C2×C4—222no—
1831C2×C4—222no—
1832C2×C4—222no—
1833C2×C4—222no—
1834C2×C4—222no—
1835C2×C4—222no—
1836C2×C4—222no—
1837C2×C4—444no—
1838C2×C4—444no—
1839C2×C4—444no—
1840C2×C4—444no—
1841C2×C4—444no—
1842C2×C4—444no—
1843C2×C4—444no—
1844C2×C4—444no—
1845C2×C4—444no—
1846C2×C4—444no—
1847C2×C4—444no—
1848C2×C4—444no—
1849C2×C4C24×D1112yes—
1850C2×C4C24×D1112yes—
1851C2×C4C24×D1112yes—
1852C2×C4C24×D1112yes—
1853C2×C4C24×D1112yes—
1854C2×C4C24×D1112yes—
1855C2×C4C24×D1112yes—
1856C2×C4C24×D1112yes—
1857C2×C4C24×D1112yes—
1858C2×C4C24×D1112yes—
1859C2×C4C24×D1112yes—
1860C22—22no—
1861C22—22no—
1862C22—28no—
1863C22—22no—
1864C22—22no—
1865C22—22no—
1866C22—22no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—44no—
1873C22—44no—
1874C22—44no—
1875C22—222no—
1876C22—222no—
1877C22—222no—
1878C22—222no—
1879C22—222no—
1880C22—222no—
1881C22—222no—
1882C22—222no—
1883C22—222no—
1884C22—444no—
1885C22—444no—
1886C22—444no—
1887C22C2×#41×D1114yes—
1888C22C2×#41×D1112yes—
1889C22#1062345312yes—
1890C22#1062345512yes—
1891C22C25×D1111yescharacteristic
1892C4—22no—
1893C4—22no—
1894C4—22no—
1895C4—22no—
1896C4—22no—
1897C4—22no—
1898C4—22no—
1899C4—22no—
1900C4—22no—
1901C4—22no—
1902C4—22no—
1903C4—114no—
1904C4—114no—
1905C4—222no—
1906C4—222no—
1907C4—222no—
1908C4—222no—
1909C4—222no—
1910C4—222no—
1911C4—222no—
1912C4—222no—
1913C4—222no—
1914C4—222no—
1915C4—222no—
1916C2—24no—
1917C2—42no—
1918C2—42no—
1919C2—42no—
1920C2—442no—
1921C2—442no—
1922C2—442no—
1923C2#1308253214yesdirect product factor
1924C2C22×#41×D1111yescharacteristic
1925C2C2×#1062345511yescharacteristic
1926C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#553C2
socleC23×C11C25
hypercenterC2×#553D11
hypocenterC11C2×#3512
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #13082532C2direct (N × H)
2. C2×#10623149C2semidirect
3. C2×#10623240C2semidirect
4. C2×#10623071C2semidirect
5. C2×#10623071C2semidirect
6. C2×#10623071C2semidirect
7. C2×#10623045C2semidirect
8. C2×#10623096C2semidirect
9. C2×#10623192C2semidirect
10. C2×#10623132C2semidirect
11. C2×#10623132C2semidirect
12. C2×#10623132C2semidirect
13. C2×#10623181C2semidirect
14. C2×#10623239C2semidirect
15. C2×#10623062C2semidirect
16. C2×#10623224C2semidirect
17. C2×#10623227C2semidirect
18. C2×#10623232C2semidirect
19. C2×#10623194C2semidirect
20. C2×#10623146C2semidirect
21. C2×#10623128C2semidirect
22. C2×#10623128C2semidirect
23. C2×#10623127C2semidirect
24. C2×#10623237C2semidirect
25. C2×#10623069C2semidirect
26. C2×#10623059C2semidirect
27. C2×#10623180C2semidirect
28. C22×#66942C2semidirect
29. C2×#10623077C2semidirect
30. C2×#10623077C2semidirect
31. C2×C4×#4341C2semidirect
32. C2×C11×#553C2semidirect
36. C11×#553C22semidirect
97. #10623240C22semidirect
98. #10623239C22semidirect
99. #10623237C22semidirect
100. #10623232C22semidirect
101. #10623227C22semidirect
102. #10623224C22semidirect
103. #10623194C22semidirect
104. #10623192C22semidirect
105. #10623181C22semidirect
106. #10623180C22semidirect
107. #10623149C22semidirect
108. #10623146C22semidirect
109. #10623132C22semidirect
110. #10623132C22semidirect
111. #10623132C22semidirect
112. #10623128C22semidirect
113. #10623128C22semidirect
114. #10623127C22semidirect
115. #10623096C22semidirect
116. #10623077C22semidirect
117. #10623077C22semidirect
118. #10623071C22semidirect
119. #10623071C22semidirect
120. #10623071C22semidirect
121. #10623069C22semidirect
122. C4×#4341C22semidirect
123. #10623062C22semidirect
124. #10623059C22semidirect
125. #10623045C22semidirect
162. C2×#66942C22semidirect
783. C2×#553D11semidirect
943. #553C2×D11semidirect
1488. C2×C11#3512semidirect
1733. C11C2×#3512semidirect
1923. C2#13082532direct (N × H)

Maximal subgroups

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

subgroupindex
#130825322
C2×#106231492
C2×#106232402
C2×#106230712
C2×#106230452
C2×#106230962
C2×#106231922
C2×#106231322
C2×#106231812
C2×#106232392
C2×#106230622
C2×#106232242
C2×#106232272
C2×#106232322
C2×#106231942
C2×#106231462
C2×#106231282
C2×#106231272
C2×#106232372
C2×#106230692
C2×#106230592
C2×#106231802
C22×#669422
C2×#106230772
C2×C4×#43412
C2×C11×#5532
C2×#351211