Finite Group Databasebeta

← C2×#13082586 #15661882

Subgroups — C2×#13082586 #15661882

Order 2816.

7142 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082586C2132yesmaximal, direct product factor
2C2×#10623216C211yesmaximal, characteristic, complemented
3C2×#10623167C211yesmaximal, characteristic, complemented
4C2×#10623167C211yesmaximal, characteristic, complemented
5C2×#10623192C211yesmaximal, characteristic, complemented
6C2×#10623132C211yesmaximal, characteristic, complemented
7C2×#10623173C211yesmaximal, characteristic, complemented
8C2×#10623181C211yesmaximal, characteristic, complemented
9C2×#10623181C211yesmaximal, characteristic, complemented
10C2×#10623181C211yesmaximal, characteristic, complemented
11C2×#10623239C211yesmaximal, characteristic, complemented
12C2×#10623239C211yesmaximal, characteristic, complemented
13C2×#10623170C211yesmaximal, characteristic, complemented
14C2×#10623224C211yesmaximal, characteristic, complemented
15C2×#10623142C211yesmaximal, characteristic, complemented
16C2×#10623186C211yesmaximal, characteristic, complemented
17C2×#10623186C211yesmaximal, characteristic, complemented
18C2×#10623227C211yesmaximal, characteristic, complemented
19C2×#10623232C211yesmaximal, characteristic, complemented
20C2×#10623169C211yesmaximal, characteristic, complemented
21C2×#10623191C211yesmaximal, characteristic, complemented
22C2×#10623095C211yesmaximal, characteristic, complemented
23C2×#10623153C211yesmaximal, characteristic, complemented
24C2×#10623237C211yesmaximal, characteristic, complemented
25C2×#10623069C211yesmaximal, characteristic, complemented
26C2×#10623180C211yesmaximal, characteristic, complemented
27C22×#66942C211yesmaximal, characteristic, complemented
28C2×D11×#125C211yesmaximal, characteristic, complemented
29C2×#10623035C211yesmaximal, characteristic, complemented
30C2×#10623077C211yesmaximal, characteristic, complemented
31C2×C4×#4341C211yesmaximal, characteristic, complemented
32C2×C11×#539C211yesmaximal, characteristic, complemented
33C22×#4341C2211yescharacteristic
34C22×#4341C2211yescharacteristic
35C22×#4339C2211yescharacteristic
36C11×#539C22116yescomplemented
37C2×C11×#126C2211yescharacteristic
38C2×C11×#126C2211yescharacteristic
39C2×C11×#125C2211yescharacteristic
40C2×C11×#125C2211yescharacteristic
41C2×C11×#123C2211yescharacteristic
42C2×C11×#123C2211yescharacteristic
43C2×C11×#123C2211yescharacteristic
44C2×C11×#123C2211yescharacteristic
45C2×C11×C22⋊Q8C2211yescharacteristic
46C2×C11×C22⋊Q8C2211yescharacteristic
47C2×C11×C22⋊Q8C2211yescharacteristic
48C2×C11×#121C2211yescharacteristic
49C2×C4×D4×C11C2211yescharacteristic
50C2×C4×D4×C11C2211yescharacteristic
51C22×C11×C4⋊C4C2211yescharacteristic
52C2×#66999C2211yescharacteristic
53C2×#66999C2211yescharacteristic
54C2×Q8×Dic11C2211yescharacteristic
55C2×#66997C2211yescharacteristic
56C2×#66992C2211yescharacteristic
57C2×#66992C2211yescharacteristic
58C2×#66992C2211yescharacteristic
59C2×#66991C2211yescharacteristic
60C2×#66988C2211yescharacteristic
61C2×#66988C2211yescharacteristic
62C2×#66988C2211yescharacteristic
63C2×D4×Dic11C2211yescharacteristic
64C2×D4×Dic11C2211yescharacteristic
65C2×D4×Dic11C2211yescharacteristic
66C2×#66982C2211yescharacteristic
67C2×C4×C22⋊D11C2211yescharacteristic
68C2×C4×C22⋊D11C2211yescharacteristic
69C2×C4×C22⋊D11C2211yescharacteristic
70C2×C4×C22⋊D11C2211yescharacteristic
71C2×C4×C22⋊D11C2211yescharacteristic
72C2×C4×C22⋊D11C2211yescharacteristic
73C2×C4×C22⋊D11C2211yescharacteristic
74C2×#66979C2211yescharacteristic
75C2×#66979C2211yescharacteristic
76C22×C4⋊Dic11C2211yescharacteristic
77C2×#66977C2211yescharacteristic
78C22×Dic11⋊C4C2211yescharacteristic
79C22×Dic11⋊C4C2211yescharacteristic
80C22×Dic11⋊C4C2211yescharacteristic
81C22×Dic11⋊C4C2211yescharacteristic
82C22×Dic11⋊C4C2211yescharacteristic
83C22×C4×Dic11C2211yescharacteristic
84C22×C4×Dic11C2211yescharacteristic
85#10623239C22116yescomplemented
86#10623239C22116yescomplemented
87#10623237C22116yescomplemented
88#10623232C22116yescomplemented
89#10623227C22116yescomplemented
90#10623224C22116yescomplemented
91D11×#125C22116yescomplemented
92#10623216C22116yescomplemented
93#10623192C22116yescomplemented
94#10623191C22116yescomplemented
95#10623186C22116yescomplemented
96#10623186C22116yescomplemented
97#10623181C22116yescomplemented
98#10623181C22116yescomplemented
99#10623181C22116yescomplemented
100#10623180C22116yescomplemented
101#10623173C22116yescomplemented
102#10623170C22116yescomplemented
103#10623169C22116yescomplemented
104#10623167C22116yescomplemented
105#10623167C22116yescomplemented
106#10623153C22116yescomplemented
107#10623142C22116yescomplemented
108#10623132C22116yescomplemented
109#10623095C22116yescomplemented
110#10623077C22116yescomplemented
111#10623069C22116yescomplemented
112C4×#4341C22116yescomplemented
113C2×#66951C2211yescharacteristic
114C2×#66951C2211yescharacteristic
115C2×#66951C2211yescharacteristic
116C2×#66951C2211yescharacteristic
117C2×#66949C2211yescharacteristic
118C2×#66949C2211yescharacteristic
119C2×#66949C2211yescharacteristic
120C2×#66949C2211yescharacteristic
121C2×#66949C2211yescharacteristic
122C2×#66947C2211yescharacteristic
123C2×#66947C2211yescharacteristic
124#10623035C22116yescomplemented
125C2×#66946C2211yescharacteristic
126C2×#66946C2211yescharacteristic
127C2×#66945C2211yescharacteristic
128C2×#66945C2211yescharacteristic
129C2×#66945C2211yescharacteristic
130C2×#66945C2211yescharacteristic
131C2×C4⋊C4×D11C2211yescharacteristic
132C2×C4⋊C4×D11C2211yescharacteristic
133C2×C4⋊C4×D11C2211yescharacteristic
134C2×C4⋊C4×D11C2211yescharacteristic
135C2×C4⋊C4×D11C2211yescharacteristic
136C2×C4⋊C4×D11C2211yescharacteristic
137C2×C4⋊C4×D11C2211yescharacteristic
138C2×#66943C2211yescharacteristic
139C2×#66943C2211yescharacteristic
140C2×#66943C2211yescharacteristic
141C2×#66943C2211yescharacteristic
142C2×#66943C2211yescharacteristic
143C2×#66942C2211yescharacteristic
144C2×#66942C2211yescharacteristic
145C2×#66942C2211yescharacteristic
146C2×#66942C2211yescharacteristic
147C2×#66942C2211yescharacteristic
148C2×#66942C2211yescharacteristic
149C2×#66942C2211yescharacteristic
150C2×#66942C2211yescharacteristic
151C2×#66942C2211yescharacteristic
152C2×#66942C2211yescharacteristic
153C2×#66942C2211yescharacteristic
154C2×#66942C2211yescharacteristic
155C2×#66942C2211yescharacteristic
156C2×#66942C2211yescharacteristic
157C2×#66942C2211yescharacteristic
158C2×#66942C2211yescharacteristic
159C2×#66942C2211yescharacteristic
160C2×#66942C22116yescomplemented
161C2×#66941C2211yescharacteristic
162C2×#66941C2211yescharacteristic
163C2×#66941C2211yescharacteristic
164C2×#66940C2211yescharacteristic
165C2×#66940C2211yescharacteristic
166C2×#66940C2211yescharacteristic
167C2×#66940C2211yescharacteristic
168C2×#66940C2211yescharacteristic
169C2×#66940C2211yescharacteristic
170C2×#66940C2211yescharacteristic
171C2×#66939C2211yescharacteristic
172C2×#66939C2211yescharacteristic
173C2×#66938C2211yescharacteristic
174C2×#66937C2211yescharacteristic
175C2×#66937C2211yescharacteristic
176C2×#66936C2211yescharacteristic
177C2×#66936C2211yescharacteristic
178C2×#66936C2211yescharacteristic
179C2×#66936C2211yescharacteristic
180C2×#66936C2211yescharacteristic
181C2×#66936C2211yescharacteristic
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×#66932C2211yescharacteristic
190C2×#66932C2211yescharacteristic
191C2×#66932C2211yescharacteristic
192C2×#66932C2211yescharacteristic
193C2×#66932C2211yescharacteristic
194C2×#66932C2211yescharacteristic
195C2×#66932C2211yescharacteristic
196C2×#66931C2211yescharacteristic
197C2×#66931C2211yescharacteristic
198C2×#66931C2211yescharacteristic
199C2×#66931C2211yescharacteristic
200C2×#66931C2211yescharacteristic
201C2×#66931C2211yescharacteristic
202C2×#66931C2211yescharacteristic
203C2×#66931C2211yescharacteristic
204C2×#66930C2211yescharacteristic
205C2×#66930C2211yescharacteristic
206C2×#66930C2211yescharacteristic
207C2×#66930C2211yescharacteristic
208C2×#66930C2211yescharacteristic
209C2×#66930C2211yescharacteristic
210C2×#66930C2211yescharacteristic
211C2×#66929C2211yescharacteristic
212C2×#66925C2211yescharacteristic
213C2×#66925C2211yescharacteristic
214C2×C42×D11C2211yescharacteristic
215C2×#66923C2211yescharacteristic
216C2×C4×Dic22C2211yescharacteristic
217C2×C4×Dic22C2211yescharacteristic
218C2×C4×Dic22C2211yescharacteristic
219C22×Q8×C11C2311yescharacteristic
220C22×D4×C11C2311yescharacteristic
221C22×D4×C11C2311yescharacteristic
222C22×D4×C11C2311yescharacteristic
223C23×C4×C11C2311yescharacteristic
224C23×C4×C11C2311yescharacteristic
225C23×C4×C11C2311yescharacteristic
226C23×C4×C11C2311yescharacteristic
227C23×C4×C11C2311yescharacteristic
228C22×C22⋊D11C2311yescharacteristic
229C22×C22⋊D11C2311yescharacteristic
230C22×C22⋊D11C2311yescharacteristic
231C22×C22⋊D11C2311yescharacteristic
232C22×C22⋊D11C2311yescharacteristic
233C22×C22⋊D11C2311yescharacteristic
234C23×Dic11C2311yescharacteristic
235C23×Dic11C2311yescharacteristic
236C23×Dic11C2311yescharacteristic
237C23×Dic11C2311yescharacteristic
238C23×Dic11C2311yescharacteristic
239C23×Dic11C2311yescharacteristic
240C23×Dic11C2311yescharacteristic
241C23×Dic11C2311yescharacteristic
242C2×#4341—28no—
243C2×#4341—28no—
244C2×#4341C2318yes—
245C2×#4341C2318yes—
246C2×#4339—28no—
247C2×#4339C2318yes—
248C22×D44C2311yescharacteristic
249C22×C4×D11C2311yescharacteristic
250C22×C4×D11C2311yescharacteristic
251C22×C4×D11C2311yescharacteristic
252C22×C4×D11C2311yescharacteristic
253C22×C4×D11C2311yescharacteristic
254C22×C4×D11C2311yescharacteristic
255C22×C4×D11C2311yescharacteristic
256C22×C4×D11C2311yescharacteristic
257C22×C4×D11C2311yescharacteristic
258C22×C4×D11C2311yescharacteristic
259C22×Dic22C2311yescharacteristic
260C22×Dic22C2311yescharacteristic
261C22×Dic22C2311yescharacteristic
262C22×Dic22C2311yescharacteristic
263C22×Dic22C2311yescharacteristic
264C11×#126C2318yes—
265C11×#126C2318yes—
266C11×#125C2318yes—
267C11×#125C2318yes—
268C11×#123C2318yes—
269C11×#123C2318yes—
270C11×#123C2318yes—
271C11×#123C2318yes—
272C11×C22⋊Q8C2318yes—
273C11×C22⋊Q8C2318yes—
274C11×C22⋊Q8C2318yes—
275C11×#121C2318yes—
276C4×D4×C11C2318yes—
277C4×D4×C11C2318yes—
278C2×C11×C4⋊C4C2311yescharacteristic
279C2×C11×C4⋊C4C2311yescharacteristic
280C2×C11×C4⋊C4C2311yescharacteristic
281C2×C11×C4⋊C4C2311yescharacteristic
282C2×C11×C4⋊C4C2311yescharacteristic
283C2×C11×C4⋊C4C2311yescharacteristic
284C2×C11×C4⋊C4C2311yescharacteristic
285C2×C11×C4⋊C4C2311yescharacteristic
286C2×C11×C4⋊C4C2311yescharacteristic
287C2×C11×C4⋊C4C2311yescharacteristic
288C2×C11×C4⋊C4C2311yescharacteristic
289C2×C11×C4⋊C4C2311yescharacteristic
290C2×C11×C4⋊C4C2311yescharacteristic
291C2×C11×C4⋊C4C2311yescharacteristic
292C2×C11×C4⋊C4C2318yes—
293C2×C11×C22⋊C4C2311yescharacteristic
294C2×C11×C22⋊C4C2311yescharacteristic
295C2×C11×C22⋊C4C2311yescharacteristic
296C2×C11×C22⋊C4C2311yescharacteristic
297C2×C11×C22⋊C4C2311yescharacteristic
298C2×C11×C22⋊C4C2311yescharacteristic
299C2×C11×C22⋊C4C2311yescharacteristic
300C2×C11×C22⋊C4C2311yescharacteristic
301C2×C11×C22⋊C4C2311yescharacteristic
302C2×C11×C22⋊C4C2311yescharacteristic
303C2×C42×C11C2311yescharacteristic
304C2×C42×C11C2311yescharacteristic
305C2×C22⋊Dic11C2311yescharacteristic
306C2×C22⋊Dic11C2311yescharacteristic
307C2×C22⋊Dic11C2311yescharacteristic
308C2×C22⋊Dic11C2311yescharacteristic
309C2×C22⋊Dic11C2311yescharacteristic
310C2×C22⋊Dic11C2311yescharacteristic
311C2×C22⋊Dic11C2311yescharacteristic
312C2×C22⋊Dic11C2311yescharacteristic
313C2×C22⋊Dic11C2311yescharacteristic
314C2×C22⋊Dic11C2311yescharacteristic
315#66999C2318yes—
316#66999C2318yes—
317Q8×Dic11C2318yes—
318#66997C2318yes—
319#66992C2318yes—
320#66992C2318yes—
321#66992C2318yes—
322#66991C2318yes—
323#66988C2318yes—
324#66988C2318yes—
325#66988C2318yes—
326D4×Dic11C2318yes—
327D4×Dic11C2318yes—
328D4×Dic11C2318yes—
329#66982C2318yes—
330C4×C22⋊D11C2318yes—
331C4×C22⋊D11C2318yes—
332C4×C22⋊D11C2318yes—
333C4×C22⋊D11C2318yes—
334C4×C22⋊D11C2318yes—
335C4×C22⋊D11C2318yes—
336C4×C22⋊D11C2318yes—
337C2×(C2×D11)⋊C4C2311yescharacteristic
338C2×(C2×D11)⋊C4C2311yescharacteristic
339C2×(C2×D11)⋊C4C2311yescharacteristic
340C2×(C2×D11)⋊C4C2311yescharacteristic
341C2×(C2×D11)⋊C4C2311yescharacteristic
342C2×(C2×D11)⋊C4C2311yescharacteristic
343C2×(C2×D11)⋊C4C2311yescharacteristic
344C2×(C2×D11)⋊C4C2311yescharacteristic
345C2×(C2×D11)⋊C4C2311yescharacteristic
346C2×(C2×D11)⋊C4C2311yescharacteristic
347C2×(C2×D11)⋊C4C2311yescharacteristic
348C2×(C2×D11)⋊C4C2311yescharacteristic
349#66979C2318yes—
350#66979C2318yes—
351C2×C4⋊Dic11C2311yescharacteristic
352C2×C4⋊Dic11C2311yescharacteristic
353C2×C4⋊Dic11C2311yescharacteristic
354C2×C4⋊Dic11C2311yescharacteristic
355C2×C4⋊Dic11C2311yescharacteristic
356C2×C4⋊Dic11C2311yescharacteristic
357C2×C4⋊Dic11C2311yescharacteristic
358C2×C4⋊Dic11C2311yescharacteristic
359C2×C4⋊Dic11C2311yescharacteristic
360C2×C4⋊Dic11C2311yescharacteristic
361C2×C4⋊Dic11C2311yescharacteristic
362C2×C4⋊Dic11C2311yescharacteristic
363C2×C4⋊Dic11C2311yescharacteristic
364C2×C4⋊Dic11C2311yescharacteristic
365C2×C4⋊Dic11C2318yes—
366#66977C2318yes—
367C2×Dic11⋊C4C2311yescharacteristic
368C2×Dic11⋊C4C2311yescharacteristic
369C2×Dic11⋊C4C2311yescharacteristic
370C2×Dic11⋊C4C2311yescharacteristic
371C2×Dic11⋊C4C2311yescharacteristic
372C2×Dic11⋊C4C2311yescharacteristic
373C2×Dic11⋊C4C2311yescharacteristic
374C2×Dic11⋊C4C2311yescharacteristic
375C2×Dic11⋊C4C2311yescharacteristic
376C2×Dic11⋊C4C2311yescharacteristic
377C2×Dic11⋊C4C2311yescharacteristic
378C2×Dic11⋊C4C2311yescharacteristic
379C2×Dic11⋊C4C2311yescharacteristic
380C2×Dic11⋊C4C2311yescharacteristic
381C2×Dic11⋊C4C2311yescharacteristic
382C2×Dic11⋊C4C2311yescharacteristic
383C2×Dic11⋊C4C2311yescharacteristic
384C2×Dic11⋊C4C2311yescharacteristic
385C2×Dic11⋊C4C2311yescharacteristic
386C2×Dic11⋊C4C2311yescharacteristic
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⋊C4C2318yes—
404C2×Dic11⋊C4C2318yes—
405C2×Dic11⋊C4C2318yes—
406C2×Dic11⋊C4C2318yes—
407C2×Dic11⋊C4C2318yes—
408C2×C4×Dic11C2311yescharacteristic
409C2×C4×Dic11C2311yescharacteristic
410C2×C4×Dic11C2311yescharacteristic
411C2×C4×Dic11C2311yescharacteristic
412C2×C4×Dic11C2311yescharacteristic
413C2×C4×Dic11C2311yescharacteristic
414C2×C4×Dic11C2311yescharacteristic
415C2×C4×Dic11C2311yescharacteristic
416C2×C4×Dic11C2311yescharacteristic
417C2×C4×Dic11C2311yescharacteristic
418C2×C4×Dic11C2311yescharacteristic
419C2×C4×Dic11C2311yescharacteristic
420C2×C4×Dic11C2311yescharacteristic
421C2×C4×Dic11C2311yescharacteristic
422C2×C4×Dic11C2311yescharacteristic
423C2×C4×Dic11C2311yescharacteristic
424C2×C4×Dic11C2311yescharacteristic
425C2×C4×Dic11C2311yescharacteristic
426C2×C4×Dic11C2318yes—
427C2×C4×Dic11C2318yes—
428#66951C2318yes—
429#66951C2318yes—
430#66951C2318yes—
431#66951C2318yes—
432#66949C2318yes—
433#66949C2318yes—
434#66949C2318yes—
435#66949C2318yes—
436#66949C2318yes—
437#66947C2318yes—
438#66947C2318yes—
439#66946C2318yes—
440#66946C2318yes—
441#66945C2318yes—
442#66945C2318yes—
443#66945C2318yes—
444#66945C2318yes—
445C4⋊C4×D11C2318yes—
446C4⋊C4×D11C2318yes—
447C4⋊C4×D11C2318yes—
448C4⋊C4×D11C2318yes—
449C4⋊C4×D11C2318yes—
450C4⋊C4×D11C2318yes—
451C4⋊C4×D11C2318yes—
452#66943C2318yes—
453#66943C2318yes—
454#66943C2318yes—
455#66943C2318yes—
456#66943C2318yes—
457#66942C2318yes—
458#66942C2318yes—
459#66942C2318yes—
460#66942C2318yes—
461#66942C2318yes—
462#66942C2318yes—
463#66942C2318yes—
464#66942C2318yes—
465#66942C2318yes—
466#66942C2318yes—
467#66942C2318yes—
468#66942C2318yes—
469#66942C2318yes—
470#66942C2318yes—
471#66942C2318yes—
472#66942C2318yes—
473#66942C2318yes—
474#66941C2318yes—
475#66941C2318yes—
476#66941C2318yes—
477#66940C2318yes—
478#66940C2318yes—
479#66940C2318yes—
480#66940C2318yes—
481#66940C2318yes—
482#66940C2318yes—
483#66940C2318yes—
484#66939C2318yes—
485#66939C2318yes—
486#66938C2318yes—
487#66937C2318yes—
488#66937C2318yes—
489#66936C2318yes—
490#66936C2318yes—
491#66936C2318yes—
492#66936C2318yes—
493#66936C2318yes—
494#66936C2318yes—
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#66932C2318yes—
503#66932C2318yes—
504#66932C2318yes—
505#66932C2318yes—
506#66932C2318yes—
507#66932C2318yes—
508#66932C2318yes—
509#66931C2318yes—
510#66931C2318yes—
511#66931C2318yes—
512#66931C2318yes—
513#66931C2318yes—
514#66931C2318yes—
515#66931C2318yes—
516#66931C2318yes—
517#66930C2318yes—
518#66930C2318yes—
519#66930C2318yes—
520#66930C2318yes—
521#66930C2318yes—
522#66930C2318yes—
523#66930C2318yes—
524#66929C2318yes—
525#66925C2318yes—
526#66925C2318yes—
527C42×D11C2318yes—
528#66923C2318yes—
529C4×Dic22C2318yes—
530C4×Dic22C2318yes—
531C4×Dic22C2318yes—
532C2×#3515—111nomaximal, Sylow
533C24×C11C2411yescharacteristic
534C24×C11C2411yescharacteristic
535C24×C11C2411yescharacteristic
536C23×D11C2411yescharacteristic
537C23×D11C2411yescharacteristic
538C2×Q8×C11—42no—
539C2×Q8×C11C2414yes—
540C2×D4×C11—24no—
541C2×D4×C11—24no—
542C2×D4×C11—42no—
543C2×D4×C11C2414yes—
544C2×D4×C11C2414yes—
545C2×D4×C11C2414yes—
546C22×C4×C11—24no—
547C22×C4×C11—42no—
548C22×C4×C11—42no—
549C22×C4×C11—42no—
550C22×C4×C11—42no—
551C22×C4×C11C2411yescharacteristic
552C22×C4×C11C2411yescharacteristic
553C22×C4×C11C2411yescharacteristic
554C22×C4×C11C2411yescharacteristic
555C22×C4×C11C2411yescharacteristic
556C22×C4×C11C2411yescharacteristic
557C22×C4×C11C2411yescharacteristic
558C22×C4×C11C2411yescharacteristic
559C22×C4×C11C2411yescharacteristic
560C22×C4×C11C2411yescharacteristic
561C22×C4×C11C2411yescharacteristic
562C22×C4×C11C2411yescharacteristic
563C22×C4×C11C2414yes—
564C22×C4×C11C2414yes—
565C22×C4×C11C2414yes—
566C22×C4×C11C2414yes—
567C22×C4×C11C2414yes—
568C2×C22⋊D11—24no—
569C2×C22⋊D11—24no—
570C2×C22⋊D11—24no—
571C2×C22⋊D11—24no—
572C2×C22⋊D11—42no—
573C2×C22⋊D11#4118yes—
574C2×C22⋊D11C2414yes—
575C2×C22⋊D11C2414yes—
576C2×C22⋊D11C2414yes—
577C2×C22⋊D11C2414yes—
578C2×C22⋊D11C2414yes—
579C2×C22⋊D11C2414yes—
580C22×Dic11—24no—
581C22×Dic11—24no—
582C22×Dic11—24no—
583C22×Dic11—24no—
584C22×Dic11—24no—
585C22×Dic11—24no—
586C22×Dic11—42no—
587C22×Dic11—42no—
588C22×Dic11C2414yes—
589C22×Dic11C2414yes—
590C22×Dic11C2414yes—
591C22×Dic11C2414yes—
592C22×Dic11C2414yes—
593C22×Dic11C2414yes—
594C22×Dic11C2411yescharacteristic
595C22×Dic11C2411yescharacteristic
596C22×Dic11C2411yescharacteristic
597C22×Dic11C2411yescharacteristic
598C22×Dic11C2411yescharacteristic
599C22×Dic11C2411yescharacteristic
600C22×Dic11C2411yescharacteristic
601C22×Dic11C2411yescharacteristic
602C22×Dic11C2411yescharacteristic
603C22×Dic11C2411yescharacteristic
604C22×Dic11C2411yescharacteristic
605C22×Dic11C2411yescharacteristic
606C22×Dic11C2414yes—
607C22×Dic11C2414yes—
608C22×Dic11C2411yescharacteristic
609C22×Dic11C2411yescharacteristic
610#4341—232no—
611#4341—232no—
612#4339—232no—
613C2×D44—24no—
614C2×D44C2414yes—
615C2×C4×D11—24no—
616C2×C4×D11—24no—
617C2×C4×D11—24no—
618C2×C4×D11—24no—
619C2×C4×D11—24no—
620C2×C4×D11—42no—
621C2×C4×D11—42no—
622C2×C4×D11—42no—
623C2×C4×D11—42no—
624C2×C4×D11—42no—
625C2×C4×D11C2414yes—
626C2×C4×D11C2414yes—
627C2×C4×D11C2414yes—
628C2×C4×D11C2414yes—
629C2×C4×D11C2414yes—
630C2×C4×D11C2414yes—
631C2×C4×D11C2414yes—
632C2×C4×D11C2414yes—
633C2×C4×D11C2414yes—
634C2×C4×D11C2414yes—
635C2×Dic22—24no—
636C2×Dic22—24no—
637C2×Dic22—24no—
638C2×Dic22—24no—
639C2×Dic22—42no—
640C2×Dic22C2414yes—
641C2×Dic22C2414yes—
642C2×Dic22C2414yes—
643C2×Dic22C2414yes—
644C2×Dic22C2414yes—
645C11×C4⋊C4C2414yes—
646C11×C4⋊C4C2414yes—
647C11×C4⋊C4C2414yes—
648C11×C4⋊C4C2414yes—
649C11×C4⋊C4C2414yes—
650C11×C4⋊C4C2414yes—
651C11×C4⋊C4C2414yes—
652C11×C4⋊C4C2414yes—
653C11×C4⋊C4C2414yes—
654C11×C4⋊C4C2414yes—
655C11×C4⋊C4C2414yes—
656C11×C4⋊C4C2414yes—
657C11×C4⋊C4C2414yes—
658C11×C4⋊C4C2414yes—
659C11×C22⋊C4C2414yes—
660C11×C22⋊C4C2414yes—
661C11×C22⋊C4C2414yes—
662C11×C22⋊C4C2414yes—
663C11×C22⋊C4C2414yes—
664C11×C22⋊C4C2414yes—
665C11×C22⋊C4C2414yes—
666C11×C22⋊C4C2414yes—
667C11×C22⋊C4C2414yes—
668C11×C22⋊C4C2414yes—
669C42×C11C2414yes—
670C42×C11C2414yes—
671C22⋊Dic11C2414yes—
672C22⋊Dic11C2414yes—
673C22⋊Dic11C2414yes—
674C22⋊Dic11C2414yes—
675C22⋊Dic11C2414yes—
676C22⋊Dic11C2414yes—
677C22⋊Dic11C2414yes—
678C22⋊Dic11C2414yes—
679C22⋊Dic11C2414yes—
680C22⋊Dic11C2414yes—
681(C2×D11)⋊C4C2414yes—
682(C2×D11)⋊C4C2414yes—
683(C2×D11)⋊C4C2414yes—
684(C2×D11)⋊C4C2414yes—
685(C2×D11)⋊C4C2414yes—
686(C2×D11)⋊C4C2414yes—
687(C2×D11)⋊C4C2414yes—
688(C2×D11)⋊C4C2414yes—
689(C2×D11)⋊C4C2414yes—
690(C2×D11)⋊C4C2414yes—
691(C2×D11)⋊C4C2414yes—
692(C2×D11)⋊C4C2414yes—
693C4⋊Dic11C2414yes—
694C4⋊Dic11C2414yes—
695C4⋊Dic11C2414yes—
696C4⋊Dic11C2414yes—
697C4⋊Dic11C2414yes—
698C4⋊Dic11C2414yes—
699C4⋊Dic11C2414yes—
700C4⋊Dic11C2414yes—
701C4⋊Dic11C2414yes—
702C4⋊Dic11C2414yes—
703C4⋊Dic11C2414yes—
704C4⋊Dic11C2414yes—
705C4⋊Dic11C2414yes—
706C4⋊Dic11C2414yes—
707Dic11⋊C4C2414yes—
708Dic11⋊C4C2414yes—
709Dic11⋊C4C2414yes—
710Dic11⋊C4C2414yes—
711Dic11⋊C4C2414yes—
712Dic11⋊C4C2414yes—
713Dic11⋊C4C2414yes—
714Dic11⋊C4C2414yes—
715Dic11⋊C4C2414yes—
716Dic11⋊C4C2414yes—
717Dic11⋊C4C2414yes—
718Dic11⋊C4C2414yes—
719Dic11⋊C4C2414yes—
720Dic11⋊C4C2414yes—
721Dic11⋊C4C2414yes—
722Dic11⋊C4C2414yes—
723Dic11⋊C4C2414yes—
724Dic11⋊C4C2414yes—
725Dic11⋊C4C2414yes—
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—
743C4×Dic11C2414yes—
744C4×Dic11C2414yes—
745C4×Dic11C2414yes—
746C4×Dic11C2414yes—
747C4×Dic11C2414yes—
748C4×Dic11C2414yes—
749C4×Dic11C2414yes—
750C4×Dic11C2414yes—
751C4×Dic11C2414yes—
752C4×Dic11C2414yes—
753C4×Dic11C2414yes—
754C4×Dic11C2414yes—
755C4×Dic11C2414yes—
756C4×Dic11C2414yes—
757C4×Dic11C2414yes—
758C4×Dic11C2414yes—
759C4×Dic11C2414yes—
760C4×Dic11C2414yes—
761#3515—1132no—
762C2×#557—111no—
763C2×#554—111no—
764C2×#554—111no—
765C2×#553—111no—
766C2×#553—111no—
767C2×#552—111no—
768C2×#552—111no—
769C2×#552—111no—
770C2×#552—111no—
771C2×#552—111no—
772C2×#552—111no—
773C2×#552—111no—
774C2×#552—111no—
775C2×#547—111no—
776C2×#547—111no—
777C2×#547—111no—
778C2×#541—111no—
779C2×#541—111no—
780C2×#539—111no—
781C2×#539—111no—
782C2×#539—111no—
783C2×#539D1111yescharacteristic, complemented
784C2×#533—111no—
785C2×#529—111no—
786C2×#529—111no—
787C2×#529—111no—
788C22×#125—111no—
789C22×#125—111no—
790C2×#520—111no—
791C2×#520—111no—
792C2×C4×#41—111no—
793C23×C11—22no—
794C23×C11—22no—
795C23×C11—22no—
796C23×C11—22no—
797C23×C11—22no—
798C23×C11—22no—
799C23×C11—22no—
800C23×C11—22no—
801C23×C11C2×#4114yes—
802C23×C11C2512yes—
803C23×C11C2512yes—
804C23×C11C2512yes—
805C23×C11C2511yescharacteristic
806C22×D11—22no—
807C22×D11—22no—
808C22×D11—22no—
809C22×D11—22no—
810C22×D11—22no—
811C22×D11C2×#4114yes—
812C22×D11C2512yes—
813C22×D11C2512yes—
814Q8×C11—44no—
815D4×C11—28no—
816D4×C11—28no—
817D4×C11—44no—
818C2×C4×C11—22no—
819C2×C4×C11—22no—
820C2×C4×C11—22no—
821C2×C4×C11—22no—
822C2×C4×C11—28no—
823C2×C4×C11—22no—
824C2×C4×C11—22no—
825C2×C4×C11—22no—
826C2×C4×C11—22no—
827C2×C4×C11—22no—
828C2×C4×C11—22no—
829C2×C4×C11—22no—
830C2×C4×C11—22no—
831C2×C4×C11—44no—
832C2×C4×C11—44no—
833C2×C4×C11—44no—
834C2×C4×C11—44no—
835C2×C4×C11C2512yes—
836C2×C4×C11C2512yes—
837C2×C4×C11C2512yes—
838C2×C4×C11C2512yes—
839C2×C4×C11C2512yes—
840C2×C4×C11C2512yes—
841C2×C4×C11C2512yes—
842C2×C4×C11C2512yes—
843C2×C4×C11C2512yes—
844C2×C4×C11C2512yes—
845C2×C4×C11C2512yes—
846C2×C4×C11C2512yes—
847C22⋊D11—28no—
848C22⋊D11—28no—
849C22⋊D11—28no—
850C22⋊D11—28no—
851C22⋊D11—44no—
852C22⋊D11C2×#41116yes—
853C2×Dic11—22no—
854C2×Dic11—22no—
855C2×Dic11—22no—
856C2×Dic11—22no—
857C2×Dic11—22no—
858C2×Dic11—28no—
859C2×Dic11—28no—
860C2×Dic11—22no—
861C2×Dic11—22no—
862C2×Dic11—22no—
863C2×Dic11—22no—
864C2×Dic11—22no—
865C2×Dic11—22no—
866C2×Dic11—22no—
867C2×Dic11—28no—
868C2×Dic11—28no—
869C2×Dic11—28no—
870C2×Dic11—28no—
871C2×Dic11—44no—
872C2×Dic11—44no—
873C2×Dic11C2×#4114yes—
874C2×Dic112−1+414yes—
875C2×Dic11C2512yes—
876C2×Dic11C2512yes—
877C2×Dic11C2512yes—
878C2×Dic11C2512yes—
879C2×Dic11C2512yes—
880C2×Dic11C2512yes—
881C2×Dic11C2512yes—
882C2×Dic11C2512yes—
883C2×Dic11C2512yes—
884C2×Dic11C2512yes—
885C2×Dic11C2512yes—
886C2×Dic11C2512yes—
887C2×Dic11C2512yes—
888C2×Dic11C2512yes—
889D44—28no—
890C4×D11—28no—
891C4×D11—28no—
892C4×D11—28no—
893C4×D11—28no—
894C4×D11—28no—
895C4×D11—44no—
896C4×D11—44no—
897C4×D11—44no—
898C4×D11—44no—
899C4×D11—44no—
900Dic22—28no—
901Dic22—28no—
902Dic22—28no—
903Dic22—28no—
904Dic22—44no—
905C22×#41—111no—
906C22×#41—111no—
907C22×#41—111no—
908#557—1116no—
909#554—1116no—
910#554—1116no—
911#553—1116no—
912#553—1116no—
913#552—1116no—
914#552—1116no—
915#552—1116no—
916#552—1116no—
917#552—1116no—
918#552—1116no—
919#552—1116no—
920#552—1116no—
921#547—1116no—
922#547—1116no—
923#547—1116no—
924#541—1116no—
925#541—1116no—
926#539—1116no—
927#539—1116no—
928#539—1116no—
929#539C2×D11116yescomplemented
930#533—1116no—
931C2×C4⋊Q8—111no—
932C2×C4⋊Q8—111no—
933C2×C4⋊Q8—111no—
934C2×C4⋊Q8—111no—
935#529—1116no—
936#529—1116no—
937#529—1116no—
938C2×#126—111no—
939C2×#126—111no—
940C2×#126—111no—
941C2×#126—111no—
942C2×#126—111no—
943C2×#126—111no—
944C2×#126—111no—
945C2×#126—111no—
946C2×#126—111no—
947C2×#126—111no—
948C2×#126—111no—
949C2×#126—111no—
950C2×#126C2×D1111yescharacteristic
951C2×#126C2×D1111yescharacteristic
952C2×#125—1116no—
953C2×#125—111no—
954C2×#125—111no—
955C2×#125—111no—
956C2×#125—111no—
957C2×#125—111no—
958C2×#125—111no—
959C2×#125—111no—
960C2×#125—111no—
961C2×#125—111no—
962C2×#125—111no—
963C2×#125—111no—
964C2×#125—111no—
965C2×#125—111no—
966C2×#125—111no—
967C2×#125—111no—
968C2×#125—111no—
969C2×#125—111no—
970C2×#125—1116no—
971C2×#125—111no—
972C2×#125—111no—
973C2×#125—111no—
974C2×#125—111no—
975C2×#125—111no—
976C2×#125—111no—
977C2×#125C2×D1111yescharacteristic
978C2×#125C2×D1111yescharacteristic
979C2×#124—111no—
980C2×#123—111no—
981C2×#123—111no—
982C2×#123—111no—
983C2×#123—111no—
984C2×#123—111no—
985C2×#123—111no—
986C2×#123—111no—
987C2×#123—111no—
988C2×#123—111no—
989C2×#123—111no—
990C2×#123—111no—
991C2×#123—111no—
992C2×#123—111no—
993C2×#123—111no—
994C2×#123C2×D1111yescharacteristic
995C2×#123C2×D1111yescharacteristic
996C2×#123C2×D1111yescharacteristic
997C2×#123C2×D1111yescharacteristic
998C2×C22⋊Q8—111no—
999C2×C22⋊Q8—111no—
1000C2×C22⋊Q8—111no—
1001C2×C22⋊Q8—111no—
1002C2×C22⋊Q8—111no—
1003C2×C22⋊Q8—111no—
1004C2×C22⋊Q8—111no—
1005C2×C22⋊Q8—111no—
1006C2×C22⋊Q8—111no—
1007C2×C22⋊Q8—111no—
1008C2×C22⋊Q8—111no—
1009C2×C22⋊Q8—111no—
1010C2×C22⋊Q8—111no—
1011C2×C22⋊Q8—111no—
1012C2×C22⋊Q8—111no—
1013C2×C22⋊Q8—111no—
1014C2×C22⋊Q8C2×D1111yescharacteristic
1015C2×C22⋊Q8C2×D1111yescharacteristic
1016C2×C22⋊Q8C2×D1111yescharacteristic
1017C2×#121—111no—
1018C2×#121—111no—
1019C2×#121—111no—
1020C2×#121—111no—
1021C2×#121—111no—
1022C2×#121—111no—
1023C2×#121C2×D1111yescharacteristic
1024#520—1116no—
1025#520—1116no—
1026C4×#41—1116no—
1027C2×C4×Q8—111no—
1028C2×C4×Q8—111no—
1029C2×C4×Q8—111no—
1030C2×C4×Q8—111no—
1031C2×C4×Q8—111no—
1032C2×C4×Q8—111no—
1033C2×C4×Q8—111no—
1034C2×C4×Q8—111no—
1035C2×C4×Q8—111no—
1036C2×C4×Q8—111no—
1037C2×C4×Q8—111no—
1038C2×C4×D4—111no—
1039C2×C4×D4—111no—
1040C2×C4×D4—111no—
1041C2×C4×D4—111no—
1042C2×C4×D4—111no—
1043C2×C4×D4—111no—
1044C2×C4×D4—111no—
1045C2×C4×D4—111no—
1046C2×C4×D4—111no—
1047C2×C4×D4—111no—
1048C2×C4×D4—111no—
1049C2×C4×D4—111no—
1050C2×C4×D4—111no—
1051C2×C4×D4—111no—
1052C2×C4×D4—111no—
1053C2×C4×D4—111no—
1054C2×C4×D4—111no—
1055C2×C4×D4—111no—
1056C2×C4×D4—111no—
1057C2×C4×D4C2×D1111yescharacteristic
1058C2×C4×D4C2×D1111yescharacteristic
1059C2×#117—111no—
1060C2×#117—111no—
1061C2×#117—111no—
1062C2×#117—111no—
1063C2×#117—111no—
1064C2×#117—111no—
1065C2×#117—111no—
1066C2×#117—111no—
1067C2×#117—111no—
1068C2×#117—111no—
1069C2×#117—111no—
1070C2×#117—111no—
1071C2×#117—111no—
1072C2×#117—111no—
1073C2×#117—111no—
1074C22×C4⋊C4—111no—
1075C22×C4⋊C4—111no—
1076C22×C4⋊C4—111no—
1077C22×C4⋊C4—111no—
1078C22×C4⋊C4—111no—
1079C22×C4⋊C4—111no—
1080C22×C4⋊C4—111no—
1081C22×C4⋊C4—111no—
1082C22×C4⋊C4—111no—
1083C22×C4⋊C4—111no—
1084C22×C4⋊C4—111no—
1085C22×C4⋊C4—111no—
1086C22×C4⋊C4—111no—
1087C22×C4⋊C4C2×D1111yescharacteristic
1088C22×C42—111no—
1089C22×C42—111no—
1090C22×C42—111no—
1091C22×C11—22no—
1092C22×C11—22no—
1093C22×C11—28no—
1094C22×C11—22no—
1095C22×C11—22no—
1096C22×C11—22no—
1097C22×C11—22no—
1098C22×C11—22no—
1099C22×C11—22no—
1100C22×C11—44no—
1101C22×C11—44no—
1102C22×C11C22×#4114yes—
1103C22×C11C22×#4112yes—
1104C22×C11C2×2−1+412yes—
1105C22×C11#58512yes—
1106C22×C11C2611yescharacteristic
1107C2×D11—22no—
1108C2×D11—22no—
1109C2×D11—28no—
1110C2×D11—22no—
1111C2×D11—22no—
1112C2×D11—22no—
1113C2×D11—44no—
1114C2×D11C22×#4114yes—
1115C4×C11—22no—
1116C4×C11—22no—
1117C4×C11—22no—
1118C4×C11—22no—
1119C4×C11—22no—
1120C4×C11—22no—
1121C4×C11—22no—
1122C4×C11—22no—
1123C4×C11—22no—
1124C4×C11—22no—
1125C4×C11—22no—
1126C4×C11—22no—
1127Dic11—22no—
1128Dic11—22no—
1129Dic11—22no—
1130Dic11—22no—
1131Dic11—22no—
1132Dic11—22no—
1133Dic11—22no—
1134Dic11—22no—
1135Dic11—22no—
1136Dic11—22no—
1137Dic11—22no—
1138Dic11—22no—
1139Dic11C22×#4114yes—
1140Dic11C2×2−1+414yes—
1141C2×#41—118no—
1142C2×#41—118no—
1143C2×#41—118no—
1144C2×#41—228no—
1145C2×#41—228no—
1146C2×#41—228no—
1147C22×Q8—111no—
1148C22×Q8—111no—
1149C22×Q8—111no—
1150C22×Q8—111no—
1151C22×Q8—111no—
1152C22×Q8C22×D1111yescharacteristic
1153C22×D4—111no—
1154C22×D4—111no—
1155C22×D4—111no—
1156C22×D4—111no—
1157C22×D4—111no—
1158C22×D4—111no—
1159C22×D4—111no—
1160C22×D4C22×D1111yescharacteristic
1161C22×D4C22×D1111yescharacteristic
1162C22×D4C22×D1111yescharacteristic
1163C23×C4—111no—
1164C23×C4—111no—
1165C23×C4—111no—
1166C23×C4—111no—
1167C23×C4—111no—
1168C23×C4—111no—
1169C23×C4—111no—
1170C23×C4—111no—
1171C23×C4—111no—
1172C23×C4—111no—
1173C23×C4—111no—
1174C23×C4—111no—
1175C23×C4—111no—
1176C23×C4—111no—
1177C23×C4—111no—
1178C23×C4—111no—
1179C23×C4—111no—
1180C23×C4—111no—
1181C23×C4C22×D1111yescharacteristic
1182C23×C4C22×D1111yescharacteristic
1183C23×C4C22×D1111yescharacteristic
1184C23×C4C22×D1111yescharacteristic
1185C23×C4C22×D1111yescharacteristic
1186C4⋊Q8—118no—
1187C4⋊Q8—118no—
1188C4⋊Q8—118no—
1189C4⋊Q8—118no—
1190#126—118no—
1191#126—118no—
1192#126—118no—
1193#126—118no—
1194#126—118no—
1195#126—118no—
1196#126—118no—
1197#126—118no—
1198#126—118no—
1199#126—118no—
1200#126—118no—
1201#126—118no—
1202#126C22×D1118yes—
1203#126C22×D1118yes—
1204#125—118no—
1205#125—118no—
1206#125—118no—
1207#125—118no—
1208#125—118no—
1209#125—118no—
1210#125—118no—
1211#125—118no—
1212#125—118no—
1213#125—118no—
1214#125—118no—
1215#125—118no—
1216#125—118no—
1217#125—118no—
1218#125—118no—
1219#125—118no—
1220#125—118no—
1221#125—118no—
1222#125—118no—
1223#125—118no—
1224#125—118no—
1225#125—118no—
1226#125—118no—
1227#125C22×D1118yes—
1228#125C22×D1118yes—
1229#124—118no—
1230#123—118no—
1231#123—118no—
1232#123—118no—
1233#123—118no—
1234#123—118no—
1235#123—118no—
1236#123—118no—
1237#123—118no—
1238#123—118no—
1239#123—118no—
1240#123—118no—
1241#123—118no—
1242#123—118no—
1243#123—118no—
1244#123C22×D1118yes—
1245#123C22×D1118yes—
1246#123C22×D1118yes—
1247#123C22×D1118yes—
1248C22⋊Q8—118no—
1249C22⋊Q8—118no—
1250C22⋊Q8—118no—
1251C22⋊Q8—118no—
1252C22⋊Q8—118no—
1253C22⋊Q8—118no—
1254C22⋊Q8—118no—
1255C22⋊Q8—118no—
1256C22⋊Q8—118no—
1257C22⋊Q8—118no—
1258C22⋊Q8—118no—
1259C22⋊Q8—118no—
1260C22⋊Q8—118no—
1261C22⋊Q8—118no—
1262C22⋊Q8—118no—
1263C22⋊Q8—118no—
1264C22⋊Q8C22×D1118yes—
1265C22⋊Q8C22×D1118yes—
1266C22⋊Q8C22×D1118yes—
1267#121—118no—
1268#121—118no—
1269#121—118no—
1270#121—118no—
1271#121—118no—
1272#121—118no—
1273#121C22×D1118yes—
1274C4×Q8—118no—
1275C4×Q8—118no—
1276C4×Q8—118no—
1277C4×Q8—118no—
1278C4×Q8—118no—
1279C4×Q8—118no—
1280C4×Q8—118no—
1281C4×Q8—118no—
1282C4×Q8—118no—
1283C4×Q8—118no—
1284C4×Q8—118no—
1285C4×D4—118no—
1286C4×D4—118no—
1287C4×D4—118no—
1288C4×D4—118no—
1289C4×D4—118no—
1290C4×D4—118no—
1291C4×D4—118no—
1292C4×D4—118no—
1293C4×D4—118no—
1294C4×D4—118no—
1295C4×D4—118no—
1296C4×D4—118no—
1297C4×D4—118no—
1298C4×D4—118no—
1299C4×D4—118no—
1300C4×D4—118no—
1301C4×D4—118no—
1302C4×D4—118no—
1303C4×D4—118no—
1304C4×D4C22×D1118yes—
1305C4×D4C22×D1118yes—
1306#117—118no—
1307#117—118no—
1308#117—118no—
1309#117—118no—
1310#117—118no—
1311#117—118no—
1312#117—118no—
1313#117—118no—
1314#117—118no—
1315#117—118no—
1316#117—118no—
1317#117—118no—
1318#117—118no—
1319#117—118no—
1320#117—118no—
1321C2×C4⋊C4—111no—
1322C2×C4⋊C4—111no—
1323C2×C4⋊C4—111no—
1324C2×C4⋊C4—111no—
1325C2×C4⋊C4—111no—
1326C2×C4⋊C4—111no—
1327C2×C4⋊C4—111no—
1328C2×C4⋊C4—111no—
1329C2×C4⋊C4—111no—
1330C2×C4⋊C4—111no—
1331C2×C4⋊C4—111no—
1332C2×C4⋊C4—111no—
1333C2×C4⋊C4—111no—
1334C2×C4⋊C4—111no—
1335C2×C4⋊C4—111no—
1336C2×C4⋊C4—111no—
1337C2×C4⋊C4—111no—
1338C2×C4⋊C4—111no—
1339C2×C4⋊C4—111no—
1340C2×C4⋊C4—111no—
1341C2×C4⋊C4—111no—
1342C2×C4⋊C4—111no—
1343C2×C4⋊C4—111no—
1344C2×C4⋊C4—111no—
1345C2×C4⋊C4—118no—
1346C2×C4⋊C4—118no—
1347C2×C4⋊C4—111no—
1348C2×C4⋊C4—111no—
1349C2×C4⋊C4—111no—
1350C2×C4⋊C4—111no—
1351C2×C4⋊C4—111no—
1352C2×C4⋊C4—111no—
1353C2×C4⋊C4—111no—
1354C2×C4⋊C4—111no—
1355C2×C4⋊C4—111no—
1356C2×C4⋊C4—111no—
1357C2×C4⋊C4—111no—
1358C2×C4⋊C4—111no—
1359C2×C4⋊C4—118no—
1360C2×C4⋊C4—118no—
1361C2×C4⋊C4—118no—
1362C2×C4⋊C4—118no—
1363C2×C4⋊C4—111no—
1364C2×C4⋊C4—111no—
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—118no—
1378C2×C4⋊C4—118no—
1379C2×C4⋊C4—118no—
1380C2×C4⋊C4—118no—
1381C2×C4⋊C4—118no—
1382C2×C4⋊C4—118no—
1383C2×C4⋊C4—118no—
1384C2×C4⋊C4C22×D1111yescharacteristic
1385C2×C4⋊C4C22×D1111yescharacteristic
1386C2×C4⋊C4C22×D1111yescharacteristic
1387C2×C4⋊C4C22×D1111yescharacteristic
1388C2×C4⋊C4C22×D1111yescharacteristic
1389C2×C4⋊C4C22×D1111yescharacteristic
1390C2×C4⋊C4C22×D1111yescharacteristic
1391C2×C4⋊C4C22×D1111yescharacteristic
1392C2×C4⋊C4C22×D1111yescharacteristic
1393C2×C4⋊C4C22×D1118yes—
1394C2×C4⋊C4C22×D1111yescharacteristic
1395C2×C4⋊C4C22×D1111yescharacteristic
1396C2×C4⋊C4C22×D1111yescharacteristic
1397C2×C4⋊C4C22×D1111yescharacteristic
1398C2×C4⋊C4C22×D1111yescharacteristic
1399C2×C22⋊C4—111no—
1400C2×C22⋊C4—111no—
1401C2×C22⋊C4—111no—
1402C2×C22⋊C4—111no—
1403C2×C22⋊C4—111no—
1404C2×C22⋊C4—111no—
1405C2×C22⋊C4—111no—
1406C2×C22⋊C4—111no—
1407C2×C22⋊C4—111no—
1408C2×C22⋊C4—111no—
1409C2×C22⋊C4—111no—
1410C2×C22⋊C4—111no—
1411C2×C22⋊C4—111no—
1412C2×C22⋊C4—111no—
1413C2×C22⋊C4—111no—
1414C2×C22⋊C4—111no—
1415C2×C22⋊C4—111no—
1416C2×C22⋊C4—111no—
1417C2×C22⋊C4—111no—
1418C2×C22⋊C4—111no—
1419C2×C22⋊C4—111no—
1420C2×C22⋊C4—111no—
1421C2×C22⋊C4C22×D1111yescharacteristic
1422C2×C22⋊C4C22×D1111yescharacteristic
1423C2×C22⋊C4C22×D1111yescharacteristic
1424C2×C22⋊C4C22×D1111yescharacteristic
1425C2×C22⋊C4C22×D1111yescharacteristic
1426C2×C22⋊C4C22×D1111yescharacteristic
1427C2×C22⋊C4C22×D1111yescharacteristic
1428C2×C22⋊C4C22×D1111yescharacteristic
1429C2×C22⋊C4C22×D1111yescharacteristic
1430C2×C22⋊C4C22×D1111yescharacteristic
1431C2×C42—111no—
1432C2×C42—111no—
1433C2×C42—111no—
1434C2×C42—111no—
1435C2×C42—111no—
1436C2×C42—111no—
1437C2×C42—111no—
1438C2×C42—111no—
1439C2×C42—111no—
1440C2×C42—111no—
1441C2×C42—111no—
1442C2×C42—111no—
1443C2×C42—111no—
1444C2×C42—111no—
1445C2×C42—111no—
1446C2×C42—111no—
1447C2×C42—111no—
1448C2×C42—118no—
1449C2×C42—118no—
1450C2×C42—111no—
1451C2×C42—118no—
1452C2×C42C22×D1111yescharacteristic
1453C2×C42C22×D1111yescharacteristic
1454C2×C11—24no—
1455C2×C11—42no—
1456C2×C11—42no—
1457C2×C11#351514yescomplemented
1458C2×C11C23×#4111yescharacteristic
1459C2×C11C22×2−1+411yescharacteristic
1460C2×C11C2×#58511yescharacteristic
1461D11—24no—
1462D11—42no—
1463C24—111no—
1464C24—111no—
1465C24C23×D1111yescharacteristic
1466C24C23×D1111yescharacteristic
1467C24C23×D1111yescharacteristic
1468#41—2232no—
1469#41—2232no—
1470#41—2232no—
1471C2×Q8—42no—
1472C2×Q8—114no—
1473C2×Q8—114no—
1474C2×Q8—114no—
1475C2×Q8—114no—
1476C2×Q8—114no—
1477C2×Q8—224no—
1478C2×Q8—224no—
1479C2×Q8—224no—
1480C2×Q8—224no—
1481C2×Q8—442no—
1482C2×Q8C23×D1114yes—
1483C2×D4—24no—
1484C2×D4—24no—
1485C2×D4—42no—
1486C2×D4—118no—
1487C2×D4—114no—
1488C2×D4—114no—
1489C2×D4—114no—
1490C2×D4—114no—
1491C2×D4—114no—
1492C2×D4—114no—
1493C2×D4—114no—
1494C2×D4—224no—
1495C2×D4—224no—
1496C2×D4—224no—
1497C2×D4—224no—
1498C2×D4—224no—
1499C2×D4—442no—
1500C2×D4C23×D1114yes—
1501C2×D4C23×D1114yes—
1502C2×D4C23×D1114yes—
1503C22×C4—24no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—42no—
1507C22×C4—42no—
1508C22×C4—111no—
1509C22×C4—111no—
1510C22×C4—114no—
1511C22×C4—114no—
1512C22×C4—114no—
1513C22×C4—114no—
1514C22×C4—114no—
1515C22×C4—114no—
1516C22×C4—111no—
1517C22×C4—111no—
1518C22×C4—111no—
1519C22×C4—111no—
1520C22×C4—111no—
1521C22×C4—111no—
1522C22×C4—111no—
1523C22×C4—111no—
1524C22×C4—111no—
1525C22×C4—111no—
1526C22×C4—111no—
1527C22×C4—111no—
1528C22×C4—114no—
1529C22×C4—114no—
1530C22×C4—114no—
1531C22×C4—114no—
1532C22×C4—114no—
1533C22×C4—114no—
1534C22×C4—114no—
1535C22×C4—114no—
1536C22×C4—114no—
1537C22×C4—114no—
1538C22×C4—114no—
1539C22×C4—114no—
1540C22×C4—224no—
1541C22×C4—224no—
1542C22×C4—224no—
1543C22×C4—224no—
1544C22×C4—224no—
1545C22×C4—224no—
1546C22×C4—224no—
1547C22×C4—224no—
1548C22×C4—224no—
1549C22×C4—224no—
1550C22×C4—224no—
1551C22×C4—442no—
1552C22×C4—442no—
1553C22×C4—442no—
1554C22×C4—442no—
1555C22×C4—442no—
1556C22×C4—442no—
1557C22×C4—442no—
1558C22×C4C23×D1114yes—
1559C22×C4C23×D1111yescharacteristic
1560C22×C4C23×D1111yescharacteristic
1561C22×C4C23×D1111yescharacteristic
1562C22×C4C23×D1111yescharacteristic
1563C22×C4C23×D1111yescharacteristic
1564C22×C4C23×D1111yescharacteristic
1565C22×C4C23×D1111yescharacteristic
1566C22×C4C23×D1111yescharacteristic
1567C22×C4C23×D1111yescharacteristic
1568C22×C4C23×D1111yescharacteristic
1569C22×C4C23×D1111yescharacteristic
1570C22×C4C23×D1111yescharacteristic
1571C22×C4C23×D1114yes—
1572C22×C4C23×D1114yes—
1573C22×C4C23×D1114yes—
1574C22×C4C23×D1114yes—
1575C4⋊C4—114no—
1576C4⋊C4—114no—
1577C4⋊C4—114no—
1578C4⋊C4—114no—
1579C4⋊C4—114no—
1580C4⋊C4—114no—
1581C4⋊C4—114no—
1582C4⋊C4—114no—
1583C4⋊C4—114no—
1584C4⋊C4—114no—
1585C4⋊C4—114no—
1586C4⋊C4—114no—
1587C4⋊C4—114no—
1588C4⋊C4—114no—
1589C4⋊C4—114no—
1590C4⋊C4—114no—
1591C4⋊C4—114no—
1592C4⋊C4—114no—
1593C4⋊C4—114no—
1594C4⋊C4—114no—
1595C4⋊C4—114no—
1596C4⋊C4—114no—
1597C4⋊C4—114no—
1598C4⋊C4—114no—
1599C4⋊C4—114no—
1600C4⋊C4—114no—
1601C4⋊C4—114no—
1602C4⋊C4—114no—
1603C4⋊C4—114no—
1604C4⋊C4—114no—
1605C4⋊C4—114no—
1606C4⋊C4—114no—
1607C4⋊C4—114no—
1608C4⋊C4—114no—
1609C4⋊C4—114no—
1610C4⋊C4—114no—
1611C4⋊C4—114no—
1612C4⋊C4—114no—
1613C4⋊C4—114no—
1614C4⋊C4—114no—
1615C4⋊C4—114no—
1616C4⋊C4—114no—
1617C4⋊C4—114no—
1618C4⋊C4—114no—
1619C4⋊C4—114no—
1620C4⋊C4—114no—
1621C4⋊C4—114no—
1622C4⋊C4—114no—
1623C4⋊C4—114no—
1624C4⋊C4—114no—
1625C4⋊C4C23×D1114yes—
1626C4⋊C4C23×D1114yes—
1627C4⋊C4C23×D1114yes—
1628C4⋊C4C23×D1114yes—
1629C4⋊C4C23×D1114yes—
1630C4⋊C4C23×D1114yes—
1631C4⋊C4C23×D1114yes—
1632C4⋊C4C23×D1114yes—
1633C4⋊C4C23×D1114yes—
1634C4⋊C4C23×D1114yes—
1635C4⋊C4C23×D1114yes—
1636C4⋊C4C23×D1114yes—
1637C4⋊C4C23×D1114yes—
1638C4⋊C4C23×D1114yes—
1639C22⋊C4—114no—
1640C22⋊C4—114no—
1641C22⋊C4—114no—
1642C22⋊C4—114no—
1643C22⋊C4—114no—
1644C22⋊C4—114no—
1645C22⋊C4—114no—
1646C22⋊C4—114no—
1647C22⋊C4—114no—
1648C22⋊C4—114no—
1649C22⋊C4—114no—
1650C22⋊C4—114no—
1651C22⋊C4—114no—
1652C22⋊C4—114no—
1653C22⋊C4—114no—
1654C22⋊C4—114no—
1655C22⋊C4—114no—
1656C22⋊C4—114no—
1657C22⋊C4—114no—
1658C22⋊C4—114no—
1659C22⋊C4—114no—
1660C22⋊C4—114no—
1661C22⋊C4C23×D1114yes—
1662C22⋊C4C23×D1114yes—
1663C22⋊C4C23×D1114yes—
1664C22⋊C4C23×D1114yes—
1665C22⋊C4C23×D1114yes—
1666C22⋊C4C23×D1114yes—
1667C22⋊C4C23×D1114yes—
1668C22⋊C4C23×D1114yes—
1669C22⋊C4C23×D1114yes—
1670C22⋊C4C23×D1114yes—
1671C42—114no—
1672C42—114no—
1673C42—114no—
1674C42—114no—
1675C42—114no—
1676C42—114no—
1677C42—114no—
1678C42—114no—
1679C42—114no—
1680C42—114no—
1681C42—114no—
1682C42—114no—
1683C42—114no—
1684C42—114no—
1685C42—114no—
1686C42—114no—
1687C42—114no—
1688C42—114no—
1689C42C23×D1114yes—
1690C42C23×D1114yes—
1691C11C2×#351511yescharacteristic, complemented, Sylow
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—114no—
1701C23—112no—
1702C23—112no—
1703C23—222no—
1704C23—222no—
1705C23—222no—
1706C23—222no—
1707C23—222no—
1708C23#41×D1114yes—
1709C23C24×D1112yes—
1710C23C24×D1112yes—
1711C23C24×D1112yes—
1712C23C24×D1111yescharacteristic
1713Q8—44no—
1714Q8—228no—
1715Q8—228no—
1716Q8—228no—
1717Q8—228no—
1718Q8—444no—
1719D4—28no—
1720D4—28no—
1721D4—44no—
1722D4—1116no—
1723D4—228no—
1724D4—228no—
1725D4—228no—
1726D4—228no—
1727D4—228no—
1728D4—444no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—28no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—44no—
1743C2×C4—44no—
1744C2×C4—44no—
1745C2×C4—44no—
1746C2×C4—114no—
1747C2×C4—114no—
1748C2×C4—112no—
1749C2×C4—112no—
1750C2×C4—112no—
1751C2×C4—112no—
1752C2×C4—112no—
1753C2×C4—112no—
1754C2×C4—112no—
1755C2×C4—112no—
1756C2×C4—112no—
1757C2×C4—112no—
1758C2×C4—112no—
1759C2×C4—112no—
1760C2×C4—112no—
1761C2×C4—112no—
1762C2×C4—228no—
1763C2×C4—228no—
1764C2×C4—228no—
1765C2×C4—228no—
1766C2×C4—228no—
1767C2×C4—228no—
1768C2×C4—228no—
1769C2×C4—228no—
1770C2×C4—228no—
1771C2×C4—222no—
1772C2×C4—222no—
1773C2×C4—222no—
1774C2×C4—222no—
1775C2×C4—222no—
1776C2×C4—228no—
1777C2×C4—228no—
1778C2×C4—222no—
1779C2×C4—222no—
1780C2×C4—222no—
1781C2×C4—222no—
1782C2×C4—222no—
1783C2×C4—222no—
1784C2×C4—222no—
1785C2×C4—444no—
1786C2×C4—444no—
1787C2×C4—444no—
1788C2×C4—444no—
1789C2×C4—444no—
1790C2×C4—444no—
1791C2×C4—444no—
1792C2×C4C24×D1112yes—
1793C2×C4C24×D1112yes—
1794C2×C4C24×D1112yes—
1795C2×C4C24×D1112yes—
1796C2×C4C24×D1112yes—
1797C2×C4C24×D1112yes—
1798C2×C4C24×D1112yes—
1799C2×C4C24×D1112yes—
1800C2×C4C24×D1112yes—
1801C2×C4C24×D1112yes—
1802C2×C4C24×D1112yes—
1803C2×C4C24×D1112yes—
1804C22—22no—
1805C22—22no—
1806C22—28no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—44no—
1814C22—44no—
1815C22—114no—
1816C22—222no—
1817C22—222no—
1818C22—228no—
1819C22—222no—
1820C22—222no—
1821C22—222no—
1822C22—444no—
1823C22C2×#41×D1114yes—
1824C22C2×#41×D1112yes—
1825C22#1062345512yes—
1826C22D11×2−1+412yes—
1827C22C25×D1111yescharacteristic
1828C4—22no—
1829C4—22no—
1830C4—22no—
1831C4—22no—
1832C4—22no—
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—114no—
1841C4—114no—
1842C4—222no—
1843C4—222no—
1844C4—222no—
1845C4—222no—
1846C4—222no—
1847C4—222no—
1848C4—222no—
1849C4—222no—
1850C4—222no—
1851C4—222no—
1852C4—222no—
1853C4—222no—
1854C2—24no—
1855C2—42no—
1856C2—42no—
1857C2—224no—
1858C2—442no—
1859C2#1308258614yesdirect product factor
1860C2C22×#41×D1111yescharacteristic
1861C2C2×D11×2−1+411yescharacteristic
1862C2C2×#1062345511yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#539C2
socleC23×C11C25
hypercenterC2×#539D11
hypocenterC11C2×#3515
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #13082586C2direct (N × H)
2. C2×#10623216C2semidirect
3. C2×#10623167C2semidirect
4. C2×#10623167C2semidirect
5. C2×#10623192C2semidirect
6. C2×#10623132C2semidirect
7. C2×#10623173C2semidirect
8. C2×#10623181C2semidirect
9. C2×#10623181C2semidirect
10. C2×#10623181C2semidirect
11. C2×#10623239C2semidirect
12. C2×#10623239C2semidirect
13. C2×#10623170C2semidirect
14. C2×#10623224C2semidirect
15. C2×#10623142C2semidirect
16. C2×#10623186C2semidirect
17. C2×#10623186C2semidirect
18. C2×#10623227C2semidirect
19. C2×#10623232C2semidirect
20. C2×#10623169C2semidirect
21. C2×#10623191C2semidirect
22. C2×#10623095C2semidirect
23. C2×#10623153C2semidirect
24. C2×#10623237C2semidirect
25. C2×#10623069C2semidirect
26. C2×#10623180C2semidirect
27. C22×#66942C2semidirect
28. C2×D11×#125C2semidirect
29. C2×#10623035C2semidirect
30. C2×#10623077C2semidirect
31. C2×C4×#4341C2semidirect
32. C2×C11×#539C2semidirect
36. C11×#539C22semidirect
85. #10623239C22semidirect
86. #10623239C22semidirect
87. #10623237C22semidirect
88. #10623232C22semidirect
89. #10623227C22semidirect
90. #10623224C22semidirect
91. D11×#125C22semidirect
92. #10623216C22semidirect
93. #10623192C22semidirect
94. #10623191C22semidirect
95. #10623186C22semidirect
96. #10623186C22semidirect
97. #10623181C22semidirect
98. #10623181C22semidirect
99. #10623181C22semidirect
100. #10623180C22semidirect
101. #10623173C22semidirect
102. #10623170C22semidirect
103. #10623169C22semidirect
104. #10623167C22semidirect
105. #10623167C22semidirect
106. #10623153C22semidirect
107. #10623142C22semidirect
108. #10623132C22semidirect
109. #10623095C22semidirect
110. #10623077C22semidirect
111. #10623069C22semidirect
112. C4×#4341C22semidirect
124. #10623035C22semidirect
160. C2×#66942C22semidirect
783. C2×#539D11semidirect
929. #539C2×D11semidirect
1457. C2×C11#3515semidirect
1691. C11C2×#3515semidirect
1859. C2#13082586direct (N × H)

Maximal subgroups

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

subgroupindex
#130825862
C2×#106232162
C2×#106231672
C2×#106231922
C2×#106231322
C2×#106231732
C2×#106231812
C2×#106232392
C2×#106231702
C2×#106232242
C2×#106231422
C2×#106231862
C2×#106232272
C2×#106232322
C2×#106231692
C2×#106231912
C2×#106230952
C2×#106231532
C2×#106232372
C2×#106230692
C2×#106231802
C22×#669422
C2×D11×#1252
C2×#106230352
C2×#106230772
C2×C4×#43412
C2×C11×#5392
C2×#351511