Finite Group Databasebeta

← C2×#13083112 #15661217

Subgroups — C2×#13083112 #15661217

Order 2816.

6554 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083112C2132yesmaximal, direct product factor
2C2×#10623230C211yesmaximal, characteristic, complemented
3C2×#10623182C211yesmaximal, characteristic, complemented
4C2×#10623243C211yesmaximal, characteristic, complemented
5C2×#10623177C211yesmaximal, characteristic, complemented
6C2×#10623195C211yesmaximal, characteristic, complemented
7C2×#10623090C211yesmaximal, characteristic, complemented
8C2×#10623098C211yesmaximal, characteristic, complemented
9C2×#10623216C211yesmaximal, characteristic, complemented
10C2×#10623064C211yesmaximal, characteristic, complemented
11C2×#10623233C211yesmaximal, characteristic, complemented
12C2×#10623042C211yesmaximal, characteristic, complemented
13C2×#10623167C211yesmaximal, characteristic, complemented
14C2×#10623060C211yesmaximal, characteristic, complemented
15C2×#10623062C211yesmaximal, characteristic, complemented
16C2×#10623224C211yesmaximal, characteristic, complemented
17C2×#10623113C211yesmaximal, characteristic, complemented
18C2×#10623065C211yesmaximal, characteristic, complemented
19C2×#10623171C211yesmaximal, characteristic, complemented
20C2×#10623171C211yesmaximal, characteristic, complemented
21C2×#10623193C211yesmaximal, characteristic, complemented
22C2×#10623241C211yesmaximal, characteristic, complemented
23C2×#10623227C211yesmaximal, characteristic, complemented
24C2×#10623194C211yesmaximal, characteristic
25C2×#10623223C211yesmaximal, characteristic, complemented
26C2×#10623046C211yesmaximal, characteristic, complemented
27C2×#10623095C211yesmaximal, characteristic, complemented
28C2×#10623238C211yesmaximal, characteristic, complemented
29C2×#10623219C211yesmaximal, characteristic, complemented
30C2×#10623059C211yesmaximal, characteristic, complemented
31C2×#10623059C211yesmaximal, characteristic, complemented
32C2×C11×#552C211yesmaximal, characteristic, complemented
33C11×#552C22116yescomplemented
34C2×C11×#126C2211yescharacteristic
35C2×C11×#126C2211yescharacteristic
36C2×C11×#125C2211yescharacteristic
37C2×C11×#125C2211yescharacteristic
38C2×C11×#125C2211yescharacteristic
39C2×C11×#123C2211yescharacteristic
40C2×C11×#123C2211yescharacteristic
41C2×C11×C22⋊Q8C2211yescharacteristic
42C2×C11×C22⋊Q8C2211yescharacteristic
43C2×C4×Q8×C11C2211yescharacteristic
44C2×C4×D4×C11C2211yescharacteristic
45C2×C11×#117C2211yescharacteristic
46C2×C11×#117C2211yescharacteristic
47C2×C11×#117C2211yescharacteristic
48C22×C11×C4⋊C4C2211yescharacteristic
49C2×#67000C2211yescharacteristic
50C2×#66999C2211yescharacteristic
51C2×#66997C2211yescharacteristic
52C2×#66997C2211yescharacteristic
53C2×#66993C2211yescharacteristic
54C2×#66992C2211yescharacteristic
55C2×#66989C2211yescharacteristic
56C2×#66988C2211yescharacteristic
57C2×#66983C2211yescharacteristic
58C2×#66982C2211yescharacteristic
59C2×#66982C2211yescharacteristic
60C2×#66982C2211yescharacteristic
61C2×C4×C22⋊D11C2211yescharacteristic
62C2×C4×C22⋊D11C2211yescharacteristic
63C2×C4×C22⋊D11C2211yescharacteristic
64C2×C4×C22⋊D11C2211yescharacteristic
65C2×C4×C22⋊D11C2211yescharacteristic
66C2×C4×C22⋊D11C2211yescharacteristic
67C2×C4×C22⋊D11C2211yescharacteristic
68C2×#66977C2211yescharacteristic
69C2×#66977C2211yescharacteristic
70C2×#66977C2211yescharacteristic
71C2×#66977C2211yescharacteristic
72C22×Dic11⋊C4C2211yescharacteristic
73#10623243C22116yescomplemented
74#10623241C22116yescomplemented
75#10623238C22116yescomplemented
76#10623233C22116yescomplemented
77#10623230C22116yescomplemented
78#10623227C22116yescomplemented
79#10623224C22116yescomplemented
80#10623223C22116yescomplemented
81#10623219C22116yescomplemented
82#10623216C22116yescomplemented
83#10623195C22116yescomplemented
84#10623194C22116yes—
85#10623193C22116yescomplemented
86#10623182C22116yescomplemented
87#10623177C22116yescomplemented
88#10623171C22116yescomplemented
89#10623171C22116yescomplemented
90#10623167C22116yescomplemented
91#10623113C22116yescomplemented
92#10623098C22116yescomplemented
93#10623095C22116yescomplemented
94#10623090C22116yescomplemented
95#10623065C22116yescomplemented
96#10623064C22116yescomplemented
97#10623062C22116yescomplemented
98#10623060C22116yescomplemented
99#10623059C22116yescomplemented
100#10623059C22116yescomplemented
101#10623046C22116yescomplemented
102C2×#66951C2211yescharacteristic
103C2×#66951C2211yescharacteristic
104C2×#66951C2211yescharacteristic
105C2×#66951C2211yescharacteristic
106C2×#66951C2211yescharacteristic
107C2×#66951C2211yescharacteristic
108C2×#66951C2211yescharacteristic
109C2×#66951C2211yescharacteristic
110C2×#66951C2211yescharacteristic
111#10623042C22116yescomplemented
112C2×#66950C2211yescharacteristic
113C2×#66950C2211yescharacteristic
114C2×#66950C2211yescharacteristic
115C2×#66949C2211yescharacteristic
116C2×#66949C2211yescharacteristic
117C2×#66949C2211yescharacteristic
118C2×#66949C2211yescharacteristic
119C2×#66949C2211yescharacteristic
120C2×#66949C2211yescharacteristic
121C2×#66949C2211yescharacteristic
122C2×#66949C2211yescharacteristic
123C2×#66949C2211yescharacteristic
124C2×#66949C2211yescharacteristic
125C2×#66949C2211yescharacteristic
126C2×#66949C2211yescharacteristic
127C2×#66948C2211yescharacteristic
128C2×#66947C2211yescharacteristic
129C2×#66947C2211yescharacteristic
130C2×#66947C2211yescharacteristic
131C2×#66947C2211yescharacteristic
132C2×#66947C2211yescharacteristic
133C2×#66947C2211yescharacteristic
134C2×#66947C2211yescharacteristic
135C2×#66946C2211yescharacteristic
136C2×#66945C2211yescharacteristic
137C2×#66945C2211yescharacteristic
138C2×#66945C2211yescharacteristic
139C2×C4⋊C4×D11C2211yescharacteristic
140C2×C4⋊C4×D11C2211yescharacteristic
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×#66941C2211yescharacteristic
154C2×#66941C2211yescharacteristic
155C2×#66941C2211yescharacteristic
156C2×#66941C2211yescharacteristic
157C2×#66941C2211yescharacteristic
158C2×#66941C2211yescharacteristic
159C2×#66940C2211yescharacteristic
160C2×#66940C2211yescharacteristic
161C2×#66940C2211yescharacteristic
162C2×#66940C2211yescharacteristic
163C2×#66940C2211yescharacteristic
164C2×#66940C2211yescharacteristic
165C2×#66940C2211yescharacteristic
166C2×#66940C2211yescharacteristic
167C2×#66939C2211yescharacteristic
168C2×#66939C2211yescharacteristic
169C2×#66938C2211yescharacteristic
170C2×#66938C2211yescharacteristic
171C2×#66938C2211yescharacteristic
172C2×#66938C2211yescharacteristic
173C2×#66938C2211yescharacteristic
174C2×#66938C2211yescharacteristic
175C2×#66938C2211yescharacteristic
176C2×#66938C2211yescharacteristic
177C2×#66937C2211yescharacteristic
178C2×#66937C2211yescharacteristic
179C2×#66937C2211yescharacteristic
180C2×#66936C2211yescharacteristic
181C2×#66936C2211yescharacteristic
182C2×#66936C2211yescharacteristic
183C2×#66936C2211yescharacteristic
184C2×#66936C2211yescharacteristic
185C2×(C22⋊D11)⋊C4C2211yescharacteristic
186C2×(C22⋊D11)⋊C4C2211yescharacteristic
187C2×(C22⋊D11)⋊C4C2211yescharacteristic
188C2×#66932C2211yescharacteristic
189C2×#66932C2211yescharacteristic
190C2×#66932C2211yescharacteristic
191C2×#66932C2211yescharacteristic
192C2×#66932C2211yescharacteristic
193C2×#66932C2211yescharacteristic
194C2×#66931C2211yescharacteristic
195C2×#66931C2211yescharacteristic
196C2×#66931C2211yescharacteristic
197C2×#66931C2211yescharacteristic
198C2×#66930C2211yescharacteristic
199C2×#66929C2211yescharacteristic
200C2×#66929C2211yescharacteristic
201C2×#66929C2211yescharacteristic
202C2×#66928C2211yescharacteristic
203C2×#66928C2211yescharacteristic
204C2×C4×D44C2211yescharacteristic
205C2×C4×D44C2211yescharacteristic
206C2×#66925C2211yescharacteristic
207C2×#66925C2211yescharacteristic
208C2×#66925C2211yescharacteristic
209C2×C42×D11C2211yescharacteristic
210C2×#66923C2211yescharacteristic
211C2×#66923C2211yescharacteristic
212C2×#66923C2211yescharacteristic
213C2×#66922C2211yescharacteristic
214C2×C4×Dic22C2211yescharacteristic
215C2×C4×Dic22C2211yescharacteristic
216C2×C4×Dic22C2211yescharacteristic
217C2×C4×Dic22C2211yescharacteristic
218C2×C4×Dic22C2211yescharacteristic
219C22×Q8×C11C2311yescharacteristic
220C22×D4×C11C2311yescharacteristic
221C23×C4×C11C2311yescharacteristic
222C23×C4×C11C2311yescharacteristic
223C23×C4×C11C2311yescharacteristic
224C23×C4×C11C2311yescharacteristic
225C22×C22⋊D11C2311yescharacteristic
226C22×C22⋊D11C2311yescharacteristic
227C22×C22⋊D11C2311yescharacteristic
228C22×C22⋊D11C2311yescharacteristic
229C22×C22⋊D11C2311yescharacteristic
230C22×C22⋊D11C2311yescharacteristic
231C23×Dic11C2311yescharacteristic
232C23×Dic11C2311yescharacteristic
233C22×D44C2311yescharacteristic
234C22×D44C2311yescharacteristic
235C22×D44C2311yescharacteristic
236C22×C4×D11C2311yescharacteristic
237C22×C4×D11C2311yescharacteristic
238C22×C4×D11C2311yescharacteristic
239C22×C4×D11C2311yescharacteristic
240C22×C4×D11C2311yescharacteristic
241C22×C4×D11C2311yescharacteristic
242C22×C4×D11C2311yescharacteristic
243C22×C4×D11C2311yescharacteristic
244C22×C4×D11C2311yescharacteristic
245C22×Dic22C2311yescharacteristic
246C22×Dic22C2311yescharacteristic
247C22×Dic22C2311yescharacteristic
248C22×Dic22C2311yescharacteristic
249C22×Dic22C2311yescharacteristic
250C22×Dic22C2311yescharacteristic
251C22×Dic22C2311yescharacteristic
252C22×Dic22C2311yescharacteristic
253C22×Dic22C2311yescharacteristic
254C11×#126C2318yes—
255C11×#126C2318yes—
256C11×#125C2318yes—
257C11×#125C2318yes—
258C11×#125C2318yes—
259C11×#123C2318yes—
260C11×#123C2318yes—
261C11×C22⋊Q8C2318yes—
262C11×C22⋊Q8C2318yes—
263C4×Q8×C11C2318yes—
264C4×D4×C11C2318yes—
265C11×#117C2318yes—
266C11×#117C2318yes—
267C11×#117C2318yes—
268C2×C11×C4⋊C4C2311yescharacteristic
269C2×C11×C4⋊C4C2311yescharacteristic
270C2×C11×C4⋊C4C2311yescharacteristic
271C2×C11×C4⋊C4C2311yescharacteristic
272C2×C11×C4⋊C4C2311yescharacteristic
273C2×C11×C4⋊C4C2311yescharacteristic
274C2×C11×C4⋊C4C2311yescharacteristic
275C2×C11×C4⋊C4C2311yescharacteristic
276C2×C11×C4⋊C4C2311yescharacteristic
277C2×C11×C4⋊C4C2311yescharacteristic
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⋊C4C2318yes—
285C2×C11×C22⋊C4C2311yescharacteristic
286C2×C11×C22⋊C4C2311yescharacteristic
287C2×C11×C22⋊C4C2311yescharacteristic
288C2×C11×C22⋊C4C2311yescharacteristic
289C2×C11×C22⋊C4C2311yescharacteristic
290C2×C11×C22⋊C4C2311yescharacteristic
291C2×C11×C22⋊C4C2311yescharacteristic
292C2×C11×C22⋊C4C2311yescharacteristic
293C2×C42×C11C2311yescharacteristic
294C2×C42×C11C2311yescharacteristic
295C2×C42×C11C2311yescharacteristic
296C2×C42×C11C2311yescharacteristic
297C2×C42×C11C2311yescharacteristic
298C2×C22⋊Dic11C2311yescharacteristic
299C2×C22⋊Dic11C2311yescharacteristic
300C2×C22⋊Dic11C2311yescharacteristic
301C2×C22⋊Dic11C2311yescharacteristic
302C2×C22⋊Dic11C2311yescharacteristic
303C2×C22⋊Dic11C2311yescharacteristic
304C2×C22⋊Dic11C2311yescharacteristic
305C2×C22⋊Dic11C2311yescharacteristic
306#67000C2318yes—
307#66999C2318yes—
308#66997C2318yes—
309#66997C2318yes—
310#66993C2318yes—
311#66992C2318yes—
312#66989C2318yes—
313#66988C2318yes—
314#66983C2318yes—
315#66982C2318yes—
316#66982C2318yes—
317#66982C2318yes—
318C4×C22⋊D11C2318yes—
319C4×C22⋊D11C2318yes—
320C4×C22⋊D11C2318yes—
321C4×C22⋊D11C2318yes—
322C4×C22⋊D11C2318yes—
323C4×C22⋊D11C2318yes—
324C4×C22⋊D11C2318yes—
325C2×(C2×D11)⋊C4C2311yescharacteristic
326C2×(C2×D11)⋊C4C2311yescharacteristic
327C2×(C2×D11)⋊C4C2311yescharacteristic
328C2×(C2×D11)⋊C4C2311yescharacteristic
329C2×(C2×D11)⋊C4C2311yescharacteristic
330C2×(C2×D11)⋊C4C2311yescharacteristic
331C2×(C2×D11)⋊C4C2311yescharacteristic
332C2×(C2×D11)⋊C4C2311yescharacteristic
333C2×(C2×D11)⋊C4C2311yescharacteristic
334C2×(C2×D11)⋊C4C2311yescharacteristic
335C2×(C2×D11)⋊C4C2311yescharacteristic
336C2×(C2×D11)⋊C4C2311yescharacteristic
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
349C2×C4⋊Dic11C2311yescharacteristic
350C2×C4⋊Dic11C2311yescharacteristic
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
361#66977C2318yes—
362#66977C2318yes—
363#66977C2318yes—
364#66977C2318yes—
365C2×Dic11⋊C4C2311yescharacteristic
366C2×Dic11⋊C4C2311yescharacteristic
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⋊C4C2318yes—
398C2×C4×Dic11C2311yescharacteristic
399C2×C4×Dic11C2311yescharacteristic
400C2×C4×Dic11C2311yescharacteristic
401C2×C4×Dic11C2311yescharacteristic
402C2×C4×Dic11C2311yescharacteristic
403C2×C4×Dic11C2311yescharacteristic
404C2×C4×Dic11C2311yescharacteristic
405C2×C4×Dic11C2311yescharacteristic
406C2×C4×Dic11C2311yescharacteristic
407C2×C4×Dic11C2311yescharacteristic
408C2×C4×Dic11C2311yescharacteristic
409C2×C4×Dic11C2311yescharacteristic
410C2×C4×Dic11C2311yescharacteristic
411C2×C4×Dic11C2311yescharacteristic
412C2×C4×Dic11C2311yescharacteristic
413#66951C2318yes—
414#66951C2318yes—
415#66951C2318yes—
416#66951C2318yes—
417#66951C2318yes—
418#66951C2318yes—
419#66951C2318yes—
420#66951C2318yes—
421#66951C2318yes—
422#66950C2318yes—
423#66950C2318yes—
424#66950C2318yes—
425#66949C2318yes—
426#66949C2318yes—
427#66949C2318yes—
428#66949C2318yes—
429#66949C2318yes—
430#66949C2318yes—
431#66949C2318yes—
432#66949C2318yes—
433#66949C2318yes—
434#66949C2318yes—
435#66949C2318yes—
436#66949C2318yes—
437#66948C2318yes—
438#66947C2318yes—
439#66947C2318yes—
440#66947C2318yes—
441#66947C2318yes—
442#66947C2318yes—
443#66947C2318yes—
444#66947C2318yes—
445#66946C2318yes—
446#66945C2318yes—
447#66945C2318yes—
448#66945C2318yes—
449C4⋊C4×D11C2318yes—
450C4⋊C4×D11C2318yes—
451#66943C2318yes—
452#66943C2318yes—
453#66942C2318yes—
454#66942C2318yes—
455#66942C2318yes—
456#66942C2318yes—
457#66942C2318yes—
458#66942C2318yes—
459#66942C2318yes—
460#66942C2318yes—
461#66942C2318yes—
462#66942C2318yes—
463#66941C2318yes—
464#66941C2318yes—
465#66941C2318yes—
466#66941C2318yes—
467#66941C2318yes—
468#66941C2318yes—
469#66940C2318yes—
470#66940C2318yes—
471#66940C2318yes—
472#66940C2318yes—
473#66940C2318yes—
474#66940C2318yes—
475#66940C2318yes—
476#66940C2318yes—
477#66939C2318yes—
478#66939C2318yes—
479#66938C2318yes—
480#66938C2318yes—
481#66938C2318yes—
482#66938C2318yes—
483#66938C2318yes—
484#66938C2318yes—
485#66938C2318yes—
486#66938C2318yes—
487#66937C2318yes—
488#66937C2318yes—
489#66937C2318yes—
490#66936C2318yes—
491#66936C2318yes—
492#66936C2318yes—
493#66936C2318yes—
494#66936C2318yes—
495(C22⋊D11)⋊C4C2318yes—
496(C22⋊D11)⋊C4C2318yes—
497(C22⋊D11)⋊C4C2318yes—
498#66932C2318yes—
499#66932C2318yes—
500#66932C2318yes—
501#66932C2318yes—
502#66932C2318yes—
503#66932C2318yes—
504#66931C2318yes—
505#66931C2318yes—
506#66931C2318yes—
507#66931C2318yes—
508#66930C2318yes—
509#66929C2318yes—
510#66929C2318yes—
511#66929C2318yes—
512#66928C2318yes—
513#66928C2318yes—
514C4×D44C2318yes—
515C4×D44C2318yes—
516#66925C2318yes—
517#66925C2318yes—
518#66925C2318yes—
519C42×D11C2318yes—
520#66923C2318yes—
521#66923C2318yes—
522#66923C2318yes—
523#66922C2318yes—
524C4×Dic22C2318yes—
525C4×Dic22C2318yes—
526C4×Dic22C2318yes—
527C4×Dic22C2318yes—
528C4×Dic22C2318yes—
529C2×#3557—111nomaximal, Sylow
530C24×C11C2411yescharacteristic
531C24×C11C2411yescharacteristic
532C23×D11C2411yescharacteristic
533C23×D11C2411yescharacteristic
534C23×D11C2411yescharacteristic
535C2×Q8×C11—42no—
536C2×Q8×C11C2414yes—
537C2×D4×C11—42no—
538C2×D4×C11C2414yes—
539C22×C4×C11—42no—
540C22×C4×C11—42no—
541C22×C4×C11—42no—
542C22×C4×C11—42no—
543C22×C4×C11C2411yescharacteristic
544C22×C4×C11C2411yescharacteristic
545C22×C4×C11C2411yescharacteristic
546C22×C4×C11C2411yescharacteristic
547C22×C4×C11C2411yescharacteristic
548C22×C4×C11C2411yescharacteristic
549C22×C4×C11C2411yescharacteristic
550C22×C4×C11C2411yescharacteristic
551C22×C4×C11C2411yescharacteristic
552C22×C4×C11C2411yescharacteristic
553C22×C4×C11C2411yescharacteristic
554C22×C4×C11C2411yescharacteristic
555C22×C4×C11C2411yescharacteristic
556C22×C4×C11C2414yes—
557C22×C4×C11C2414yes—
558C22×C4×C11C2414yes—
559C22×C4×C11C2414yes—
560C2×C22⋊D11—24no—
561C2×C22⋊D11—24no—
562C2×C22⋊D11—42no—
563C2×C22⋊D11—42no—
564C2×C22⋊D11—42no—
565C2×C22⋊D11—42no—
566C2×C22⋊D11C2414yes—
567C2×C22⋊D11C2414yes—
568C2×C22⋊D11C2414yes—
569C2×C22⋊D11C2414yes—
570C2×C22⋊D11C2414yes—
571C2×C22⋊D11C2414yes—
572C22×Dic11—42no—
573C22×Dic11—42no—
574C22×Dic11C2411yescharacteristic
575C22×Dic11C2411yescharacteristic
576C22×Dic11C2411yescharacteristic
577C22×Dic11C2411yescharacteristic
578C22×Dic11C2411yescharacteristic
579C22×Dic11C2411yescharacteristic
580C22×Dic11C2411yescharacteristic
581C22×Dic11C2411yescharacteristic
582C22×Dic11C2411yescharacteristic
583C22×Dic11C2411yescharacteristic
584C22×Dic11C2411yescharacteristic
585C22×Dic11C2411yescharacteristic
586C22×Dic11C2414yes—
587C22×Dic11C2414yes—
588C22×Dic11C2411yescharacteristic
589C2×D44—42no—
590C2×D44—42no—
591C2×D44—42no—
592C2×D44C2414yes—
593C2×D44C2414yes—
594C2×D44C2414yes—
595C2×C4×D11—24no—
596C2×C4×D11—42no—
597C2×C4×D11—42no—
598C2×C4×D11—42no—
599C2×C4×D11—42no—
600C2×C4×D11—42no—
601C2×C4×D11—42no—
602C2×C4×D11—42no—
603C2×C4×D11—42no—
604C2×C4×D11C2414yes—
605C2×C4×D11C2414yes—
606C2×C4×D11C2414yes—
607C2×C4×D11C2414yes—
608C2×C4×D11C2414yes—
609C2×C4×D11C2414yes—
610C2×C4×D11C2414yes—
611C2×C4×D11C2414yes—
612C2×C4×D11C2414yes—
613C2×Dic22—24no—
614C2×Dic22—24no—
615C2×Dic22—42no—
616C2×Dic22—42no—
617C2×Dic22—42no—
618C2×Dic22—42no—
619C2×Dic22—42no—
620C2×Dic22—42no—
621C2×Dic22—42no—
622C2×Dic22C2414yes—
623C2×Dic22C2414yes—
624C2×Dic22C2414yes—
625C2×Dic22C2414yes—
626C2×Dic22C2414yes—
627C2×Dic22C2414yes—
628C2×Dic22C2414yes—
629C2×Dic22C2414yes—
630C2×Dic22C2414yes—
631C11×C4⋊C4C2414yes—
632C11×C4⋊C4C2414yes—
633C11×C4⋊C4C2414yes—
634C11×C4⋊C4C2414yes—
635C11×C4⋊C4C2414yes—
636C11×C4⋊C4C2414yes—
637C11×C4⋊C4C2414yes—
638C11×C4⋊C4C2414yes—
639C11×C4⋊C4C2414yes—
640C11×C4⋊C4C2414yes—
641C11×C4⋊C4C2414yes—
642C11×C4⋊C4C2414yes—
643C11×C4⋊C4C2414yes—
644C11×C4⋊C4C2414yes—
645C11×C4⋊C4C2414yes—
646C11×C4⋊C4C2414yes—
647C11×C22⋊C4C2414yes—
648C11×C22⋊C4C2414yes—
649C11×C22⋊C4C2414yes—
650C11×C22⋊C4C2414yes—
651C11×C22⋊C4C2414yes—
652C11×C22⋊C4C2414yes—
653C11×C22⋊C4C2414yes—
654C11×C22⋊C4C2414yes—
655C42×C11C2414yes—
656C42×C11C2414yes—
657C42×C11C2414yes—
658C42×C11C2414yes—
659C42×C11C2414yes—
660C22⋊Dic11C2414yes—
661C22⋊Dic11C2414yes—
662C22⋊Dic11C2414yes—
663C22⋊Dic11C2414yes—
664C22⋊Dic11C2414yes—
665C22⋊Dic11C2414yes—
666C22⋊Dic11C2414yes—
667C22⋊Dic11C2414yes—
668(C2×D11)⋊C4C2414yes—
669(C2×D11)⋊C4C2414yes—
670(C2×D11)⋊C4C2414yes—
671(C2×D11)⋊C4C2414yes—
672(C2×D11)⋊C4C2414yes—
673(C2×D11)⋊C4C2414yes—
674(C2×D11)⋊C4C2414yes—
675(C2×D11)⋊C4C2414yes—
676(C2×D11)⋊C4C2414yes—
677(C2×D11)⋊C4C2414yes—
678(C2×D11)⋊C4C2414yes—
679(C2×D11)⋊C4C2414yes—
680(C2×D11)⋊C4C2414yes—
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—
692C4⋊Dic11C2414yes—
693C4⋊Dic11C2414yes—
694C4⋊Dic11C2414yes—
695C4⋊Dic11C2414yes—
696C4⋊Dic11C2414yes—
697C4⋊Dic11C2414yes—
698C4⋊Dic11C2414yes—
699C4⋊Dic11C2414yes—
700C4⋊Dic11C2414yes—
701C4⋊Dic11C2414yes—
702C4⋊Dic11C2414yes—
703C4⋊Dic11C2414yes—
704Dic11⋊C4C2414yes—
705Dic11⋊C4C2414yes—
706Dic11⋊C4C2414yes—
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—
736C4×Dic11C2414yes—
737C4×Dic11C2414yes—
738C4×Dic11C2414yes—
739C4×Dic11C2414yes—
740C4×Dic11C2414yes—
741C4×Dic11C2414yes—
742C4×Dic11C2414yes—
743C4×Dic11C2414yes—
744C4×Dic11C2414yes—
745C4×Dic11C2414yes—
746C4×Dic11C2414yes—
747C4×Dic11C2414yes—
748C4×Dic11C2414yes—
749C4×Dic11C2414yes—
750C4×Dic11C2414yes—
751#3557—1132no—
752C2×#563—111no—
753C2×#563—111no—
754C2×#563—111no—
755C2×#563—111no—
756C2×#559—111no—
757C2×#559—111no—
758C2×#557—111no—
759C2×#557—111no—
760C2×#556—111no—
761C2×#556—111no—
762C2×#554—111no—
763C2×#554—111no—
764C2×#552—111no—
765C2×#552—111no—
766C2×#552—111no—
767C2×#552D1111yescharacteristic, complemented
768C2×#542—111no—
769C2×#542—111no—
770C2×#542—111no—
771C2×#542—111no—
772C2×#542—111no—
773C2×#542—111no—
774C2×#541—111no—
775C2×#540—111no—
776C2×#539—111no—
777C2×#539—111no—
778C2×#539—111no—
779C2×#539—111no—
780C2×#533—111no—
781C2×#529—111no—
782C2×#529—111no—
783C23×C11—22no—
784C23×C11—22no—
785C23×C11—22no—
786C23×C11—22no—
787C23×C11—22no—
788C23×C11—22no—
789C23×C11C2512yes—
790C23×C11C2512yes—
791C23×C11C2511yescharacteristic
792C22×D11—22no—
793C22×D11—22no—
794C22×D11—22no—
795C22×D11—22no—
796C22×D11—22no—
797C22×D11—22no—
798C22×D11—22no—
799C22×D11—22no—
800C22×D11—22no—
801C22×D11C2512yes—
802C22×D11C2512yes—
803C22×D11C2512yes—
804Q8×C11—44no—
805D4×C11—44no—
806C2×C4×C11—22no—
807C2×C4×C11—22no—
808C2×C4×C11—22no—
809C2×C4×C11—22no—
810C2×C4×C11—22no—
811C2×C4×C11—22no—
812C2×C4×C11—22no—
813C2×C4×C11—22no—
814C2×C4×C11—22no—
815C2×C4×C11—22no—
816C2×C4×C11—22no—
817C2×C4×C11—22no—
818C2×C4×C11—22no—
819C2×C4×C11—44no—
820C2×C4×C11—44no—
821C2×C4×C11—44no—
822C2×C4×C11—44no—
823C2×C4×C11C2512yes—
824C2×C4×C11C2512yes—
825C2×C4×C11C2512yes—
826C2×C4×C11C2512yes—
827C2×C4×C11C2512yes—
828C2×C4×C11C2512yes—
829C2×C4×C11C2512yes—
830C2×C4×C11C2512yes—
831C2×C4×C11C2512yes—
832C2×C4×C11C2512yes—
833C2×C4×C11C2512yes—
834C2×C4×C11C2512yes—
835C2×C4×C11C2512yes—
836C22⋊D11—28no—
837C22⋊D11—28no—
838C22⋊D11—44no—
839C22⋊D11—44no—
840C22⋊D11—44no—
841C22⋊D11—44no—
842C2×Dic11—22no—
843C2×Dic11—22no—
844C2×Dic11—22no—
845C2×Dic11—22no—
846C2×Dic11—22no—
847C2×Dic11—22no—
848C2×Dic11—22no—
849C2×Dic11—22no—
850C2×Dic11—22no—
851C2×Dic11—22no—
852C2×Dic11—22no—
853C2×Dic11—22no—
854C2×Dic11—44no—
855C2×Dic11—44no—
856C2×Dic112−1+414yes—
857C2×Dic11C2512yes—
858C2×Dic11C2512yes—
859C2×Dic11C2512yes—
860C2×Dic11C2512yes—
861C2×Dic11C2512yes—
862C2×Dic11C2512yes—
863C2×Dic11C2512yes—
864C2×Dic11C2512yes—
865C2×Dic11C2512yes—
866C2×Dic11C2512yes—
867C2×Dic11C2512yes—
868C2×Dic11C2512yes—
869C2×Dic11C2512yes—
870D44—44no—
871D44—44no—
872D44—44no—
873C4×D11—28no—
874C4×D11—44no—
875C4×D11—44no—
876C4×D11—44no—
877C4×D11—44no—
878C4×D11—44no—
879C4×D11—44no—
880C4×D11—44no—
881C4×D11—44no—
882Dic22—28no—
883Dic22—28no—
884Dic22—44no—
885Dic22—44no—
886Dic22—44no—
887Dic22—44no—
888Dic22—44no—
889Dic22—44no—
890Dic22—44no—
891#563—1116no—
892#563—1116no—
893#563—1116no—
894#563—1116no—
895#559—1116no—
896#559—1116no—
897#557—1116no—
898#557—1116no—
899#556—1116no—
900#556—1116no—
901#554—1116no—
902#554—1116no—
903#552—1116no—
904#552—1116no—
905#552—1116no—
906#552C2×D11116yescomplemented
907#542—1116no—
908#542—1116no—
909#542—1116no—
910#542—1116no—
911#542—1116no—
912#542—1116no—
913#541—1116no—
914#540—1116no—
915#539—1116no—
916#539—1116no—
917#539—1116no—
918#539—1116no—
919#533—1116no—
920C2×C4⋊Q8—111no—
921C2×C4⋊Q8—111no—
922C2×C4⋊Q8—111no—
923C2×C4⋊Q8—111no—
924C2×C4⋊Q8—111no—
925C2×C4⋊Q8—111no—
926C2×C4⋊Q8—111no—
927C2×C4⋊Q8—111no—
928C2×C4⋊Q8—111no—
929C2×#127—111no—
930#529—1116no—
931#529—1116no—
932C2×#126—111no—
933C2×#126—111no—
934C2×#126—111no—
935C2×#126—111no—
936C2×#126—111no—
937C2×#126—111no—
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—111no—
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×#125C2×D1111yescharacteristic
968C2×#125C2×D1111yescharacteristic
969C2×#125C2×D1111yescharacteristic
970C2×#124—111no—
971C2×#124—111no—
972C2×#124—111no—
973C2×#124—111no—
974C2×#124—111no—
975C2×#124—111no—
976C2×#124—111no—
977C2×#124—111no—
978C2×#124—111no—
979C2×#124—111no—
980C2×#124—111no—
981C2×#124—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×#123—111no—
995C2×#123—111no—
996C2×#123—111no—
997C2×#123—111no—
998C2×#123—111no—
999C2×#123—111no—
1000C2×#123C2×D1111yescharacteristic
1001C2×#123C2×D1111yescharacteristic
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⋊Q8—111no—
1015C2×C22⋊Q8—111no—
1016C2×C22⋊Q8—111no—
1017C2×C22⋊Q8—111no—
1018C2×C22⋊Q8—111no—
1019C2×C22⋊Q8—111no—
1020C2×C22⋊Q8—111no—
1021C2×C22⋊Q8—111no—
1022C2×C22⋊Q8—111no—
1023C2×C22⋊Q8—111no—
1024C2×C22⋊Q8—111no—
1025C2×C22⋊Q8—111no—
1026C2×C22⋊Q8C2×D1111yescharacteristic
1027C2×C22⋊Q8C2×D1111yescharacteristic
1028C2×#121—111no—
1029C2×#121—111no—
1030C2×#121—111no—
1031C2×#121—111no—
1032C2×#121—111no—
1033C2×#121—111no—
1034C2×C4×Q8—111no—
1035C2×C4×Q8—111no—
1036C2×C4×Q8—111no—
1037C2×C4×Q8—111no—
1038C2×C4×Q8—111no—
1039C2×C4×Q8—111no—
1040C2×C4×Q8—111no—
1041C2×C4×Q8—111no—
1042C2×C4×Q8—111no—
1043C2×C4×Q8—111no—
1044C2×C4×Q8—111no—
1045C2×C4×Q8—111no—
1046C2×C4×Q8—111no—
1047C2×C4×Q8C2×D1111yescharacteristic
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×D4—111no—
1058C2×C4×D4—111no—
1059C2×C4×D4—111no—
1060C2×C4×D4—111no—
1061C2×C4×D4C2×D1111yescharacteristic
1062C2×#117—111no—
1063C2×#117—111no—
1064C2×#117—111no—
1065C2×#117—111no—
1066C2×#117—111no—
1067C2×#117—111no—
1068C2×#117—111no—
1069C2×#117C2×D1111yescharacteristic
1070C2×#117C2×D1111yescharacteristic
1071C2×#117C2×D1111yescharacteristic
1072C22×C4⋊C4—111no—
1073C22×C4⋊C4—111no—
1074C22×C4⋊C4—111no—
1075C22×C4⋊C4C2×D1111yescharacteristic
1076C22×C42—111no—
1077C22×C11—22no—
1078C22×C11—22no—
1079C22×C11—22no—
1080C22×C11—22no—
1081C22×C11—22no—
1082C22×C11—22no—
1083C22×C11—44no—
1084C22×C11—44no—
1085C22×C11C2×2−1+412yes—
1086C22×C11#58512yes—
1087C22×C11#58512yes—
1088C22×C11C2611yescharacteristic
1089C2×D11—22no—
1090C2×D11—22no—
1091C2×D11—22no—
1092C2×D11—22no—
1093C2×D11—22no—
1094C2×D11—22no—
1095C2×D11—22no—
1096C2×D11—22no—
1097C2×D11—22no—
1098C2×D11—44no—
1099C2×D11—44no—
1100C2×D11—44no—
1101C4×C11—22no—
1102C4×C11—22no—
1103C4×C11—22no—
1104C4×C11—22no—
1105C4×C11—22no—
1106C4×C11—22no—
1107C4×C11—22no—
1108C4×C11—22no—
1109C4×C11—22no—
1110C4×C11—22no—
1111C4×C11—22no—
1112C4×C11—22no—
1113C4×C11—22no—
1114Dic11—22no—
1115Dic11—22no—
1116Dic11—22no—
1117Dic11—22no—
1118Dic11—22no—
1119Dic11—22no—
1120Dic11—22no—
1121Dic11—22no—
1122Dic11—22no—
1123Dic11—22no—
1124Dic11—22no—
1125Dic11—22no—
1126Dic11C2×2−1+414yes—
1127C22×Q8—111no—
1128C22×Q8—111no—
1129C22×Q8—111no—
1130C22×Q8—111no—
1131C22×Q8—111no—
1132C22×Q8—111no—
1133C22×Q8—111no—
1134C22×Q8—111no—
1135C22×Q8—111no—
1136C22×Q8C22×D1111yescharacteristic
1137C22×D4—111no—
1138C22×D4—111no—
1139C22×D4—111no—
1140C22×D4—111no—
1141C22×D4—111no—
1142C22×D4—111no—
1143C22×D4—111no—
1144C22×D4—111no—
1145C22×D4—111no—
1146C22×D4C22×D1111yescharacteristic
1147C23×C4—111no—
1148C23×C4—111no—
1149C23×C4—111no—
1150C23×C4—111no—
1151C23×C4—111no—
1152C23×C4—111no—
1153C23×C4—111no—
1154C23×C4—111no—
1155C23×C4—111no—
1156C23×C4—111no—
1157C23×C4—111no—
1158C23×C4C22×D1111yescharacteristic
1159C23×C4C22×D1111yescharacteristic
1160C23×C4C22×D1111yescharacteristic
1161C23×C4C22×D1111yescharacteristic
1162C4⋊Q8—118no—
1163C4⋊Q8—118no—
1164C4⋊Q8—118no—
1165C4⋊Q8—118no—
1166C4⋊Q8—118no—
1167C4⋊Q8—118no—
1168C4⋊Q8—118no—
1169C4⋊Q8—118no—
1170C4⋊Q8—118no—
1171#127—118no—
1172#126—118no—
1173#126—118no—
1174#126—118no—
1175#126—118no—
1176#126—118no—
1177#126—118no—
1178#126—118no—
1179#126—118no—
1180#126—118no—
1181#126—118no—
1182#126—118no—
1183#126—118no—
1184#126—118no—
1185#126—118no—
1186#126—118no—
1187#126—118no—
1188#126—118no—
1189#126—118no—
1190#126C22×D1118yes—
1191#126C22×D1118yes—
1192#125—118no—
1193#125—118no—
1194#125—118no—
1195#125—118no—
1196#125—118no—
1197#125—118no—
1198#125—118no—
1199#125—118no—
1200#125—118no—
1201#125—118no—
1202#125—118no—
1203#125—118no—
1204#125—118no—
1205#125—118no—
1206#125—118no—
1207#125C22×D1118yes—
1208#125C22×D1118yes—
1209#125C22×D1118yes—
1210#124—118no—
1211#124—118no—
1212#124—118no—
1213#124—118no—
1214#124—118no—
1215#124—118no—
1216#124—118no—
1217#124—118no—
1218#124—118no—
1219#124—118no—
1220#124—118no—
1221#124—118no—
1222#123—118no—
1223#123—118no—
1224#123—118no—
1225#123—118no—
1226#123—118no—
1227#123—118no—
1228#123—118no—
1229#123—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#123C22×D1118yes—
1241#123C22×D1118yes—
1242C22⋊Q8—118no—
1243C22⋊Q8—118no—
1244C22⋊Q8—118no—
1245C22⋊Q8—118no—
1246C22⋊Q8—118no—
1247C22⋊Q8—118no—
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⋊Q8—118no—
1265C22⋊Q8—118no—
1266C22⋊Q8C22×D1118yes—
1267C22⋊Q8C22×D1118yes—
1268#121—118no—
1269#121—118no—
1270#121—118no—
1271#121—118no—
1272#121—118no—
1273#121—118no—
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×Q8—118no—
1286C4×Q8—118no—
1287C4×Q8C22×D1118yes—
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×D4C22×D1118yes—
1302#117—118no—
1303#117—118no—
1304#117—118no—
1305#117—118no—
1306#117—118no—
1307#117—118no—
1308#117—118no—
1309#117C22×D1118yes—
1310#117C22×D1118yes—
1311#117C22×D1118yes—
1312C2×C4⋊C4—111no—
1313C2×C4⋊C4—111no—
1314C2×C4⋊C4—111no—
1315C2×C4⋊C4—111no—
1316C2×C4⋊C4—111no—
1317C2×C4⋊C4—111no—
1318C2×C4⋊C4—111no—
1319C2×C4⋊C4—111no—
1320C2×C4⋊C4—111no—
1321C2×C4⋊C4—118no—
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—111no—
1346C2×C4⋊C4—111no—
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—118no—
1358C2×C4⋊C4—118no—
1359C2×C4⋊C4C22×D1111yescharacteristic
1360C2×C4⋊C4C22×D1111yescharacteristic
1361C2×C4⋊C4C22×D1111yescharacteristic
1362C2×C4⋊C4C22×D1111yescharacteristic
1363C2×C4⋊C4C22×D1111yescharacteristic
1364C2×C4⋊C4C22×D1118yes—
1365C2×C4⋊C4C22×D1111yescharacteristic
1366C2×C4⋊C4C22×D1111yescharacteristic
1367C2×C4⋊C4C22×D1111yescharacteristic
1368C2×C4⋊C4C22×D1111yescharacteristic
1369C2×C4⋊C4C22×D1111yescharacteristic
1370C2×C4⋊C4C22×D1111yescharacteristic
1371C2×C4⋊C4C22×D1111yescharacteristic
1372C2×C4⋊C4C22×D1111yescharacteristic
1373C2×C4⋊C4C22×D1111yescharacteristic
1374C2×C4⋊C4C22×D1111yescharacteristic
1375C2×C4⋊C4C22×D1111yescharacteristic
1376C2×C22⋊C4—111no—
1377C2×C22⋊C4—111no—
1378C2×C22⋊C4—111no—
1379C2×C22⋊C4—111no—
1380C2×C22⋊C4—111no—
1381C2×C22⋊C4—111no—
1382C2×C22⋊C4—111no—
1383C2×C22⋊C4—111no—
1384C2×C22⋊C4—111no—
1385C2×C22⋊C4—111no—
1386C2×C22⋊C4—111no—
1387C2×C22⋊C4—111no—
1388C2×C22⋊C4—111no—
1389C2×C22⋊C4—111no—
1390C2×C22⋊C4—111no—
1391C2×C22⋊C4—111no—
1392C2×C22⋊C4—111no—
1393C2×C22⋊C4—111no—
1394C2×C22⋊C4—111no—
1395C2×C22⋊C4—111no—
1396C2×C22⋊C4—111no—
1397C2×C22⋊C4—111no—
1398C2×C22⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1409C2×C22⋊C4C22×D1111yescharacteristic
1410C2×C22⋊C4C22×D1111yescharacteristic
1411C2×C22⋊C4C22×D1111yescharacteristic
1412C2×C22⋊C4C22×D1111yescharacteristic
1413C2×C22⋊C4C22×D1111yescharacteristic
1414C2×C22⋊C4C22×D1111yescharacteristic
1415C2×C22⋊C4C22×D1111yescharacteristic
1416C2×C42—111no—
1417C2×C42—111no—
1418C2×C42—111no—
1419C2×C42—111no—
1420C2×C42—111no—
1421C2×C42—111no—
1422C2×C42—111no—
1423C2×C42—111no—
1424C2×C42—111no—
1425C2×C42—111no—
1426C2×C42—111no—
1427C2×C42—111no—
1428C2×C42—111no—
1429C2×C42—111no—
1430C2×C42—111no—
1431C2×C42—118no—
1432C2×C42C22×D1111yescharacteristic
1433C2×C42C22×D1111yescharacteristic
1434C2×C42C22×D1111yescharacteristic
1435C2×C42C22×D1111yescharacteristic
1436C2×C42C22×D1111yescharacteristic
1437C2×C11—42no—
1438C2×C11—42no—
1439C2×C11#355714yescomplemented
1440C2×C11C22×2−1+411yescharacteristic
1441C2×C11C2×#58511yescharacteristic
1442C2×C11C2×#58511yescharacteristic
1443D11—42no—
1444D11—42no—
1445D11—42no—
1446C24—111no—
1447C24—111no—
1448C24—111no—
1449C24C23×D1111yescharacteristic
1450C24C23×D1111yescharacteristic
1451C2×Q8—42no—
1452C2×Q8—114no—
1453C2×Q8—114no—
1454C2×Q8—114no—
1455C2×Q8—114no—
1456C2×Q8—114no—
1457C2×Q8—114no—
1458C2×Q8—114no—
1459C2×Q8—114no—
1460C2×Q8—114no—
1461C2×Q8—224no—
1462C2×Q8—224no—
1463C2×Q8—442no—
1464C2×Q8—442no—
1465C2×Q8—442no—
1466C2×Q8—442no—
1467C2×Q8—442no—
1468C2×Q8—442no—
1469C2×Q8—442no—
1470C2×Q8C23×D1114yes—
1471C2×D4—42no—
1472C2×D4—114no—
1473C2×D4—114no—
1474C2×D4—114no—
1475C2×D4—114no—
1476C2×D4—114no—
1477C2×D4—114no—
1478C2×D4—114no—
1479C2×D4—114no—
1480C2×D4—114no—
1481C2×D4—224no—
1482C2×D4—224no—
1483C2×D4—442no—
1484C2×D4—442no—
1485C2×D4—442no—
1486C2×D4—442no—
1487C2×D4—442no—
1488C2×D4—442no—
1489C2×D4—442no—
1490C2×D4C23×D1114yes—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—111no—
1496C22×C4—111no—
1497C22×C4—111no—
1498C22×C4—111no—
1499C22×C4—111no—
1500C22×C4—111no—
1501C22×C4—111no—
1502C22×C4—111no—
1503C22×C4—111no—
1504C22×C4—111no—
1505C22×C4—111no—
1506C22×C4—111no—
1507C22×C4—111no—
1508C22×C4—114no—
1509C22×C4—114no—
1510C22×C4—114no—
1511C22×C4—114no—
1512C22×C4—114no—
1513C22×C4—114no—
1514C22×C4—114no—
1515C22×C4—114no—
1516C22×C4—114no—
1517C22×C4—114no—
1518C22×C4—114no—
1519C22×C4—224no—
1520C22×C4—442no—
1521C22×C4—442no—
1522C22×C4—442no—
1523C22×C4—442no—
1524C22×C4—442no—
1525C22×C4—442no—
1526C22×C4—442no—
1527C22×C4—442no—
1528C22×C4—442no—
1529C22×C4—442no—
1530C22×C4C23×D1111yescharacteristic
1531C22×C4C23×D1111yescharacteristic
1532C22×C4C23×D1111yescharacteristic
1533C22×C4C23×D1111yescharacteristic
1534C22×C4C23×D1111yescharacteristic
1535C22×C4C23×D1111yescharacteristic
1536C22×C4C23×D1111yescharacteristic
1537C22×C4C23×D1111yescharacteristic
1538C22×C4C23×D1111yescharacteristic
1539C22×C4C23×D1111yescharacteristic
1540C22×C4C23×D1111yescharacteristic
1541C22×C4C23×D1111yescharacteristic
1542C22×C4C23×D1111yescharacteristic
1543C22×C4C23×D1114yes—
1544C22×C4C23×D1114yes—
1545C22×C4C23×D1114yes—
1546C22×C4C23×D1114yes—
1547C4⋊C4—114no—
1548C4⋊C4—114no—
1549C4⋊C4—114no—
1550C4⋊C4—114no—
1551C4⋊C4—114no—
1552C4⋊C4—114no—
1553C4⋊C4—114no—
1554C4⋊C4—114no—
1555C4⋊C4—114no—
1556C4⋊C4—114no—
1557C4⋊C4—114no—
1558C4⋊C4—114no—
1559C4⋊C4—114no—
1560C4⋊C4—114no—
1561C4⋊C4—114no—
1562C4⋊C4—114no—
1563C4⋊C4—114no—
1564C4⋊C4—114no—
1565C4⋊C4—114no—
1566C4⋊C4—114no—
1567C4⋊C4—114no—
1568C4⋊C4—114no—
1569C4⋊C4—114no—
1570C4⋊C4—114no—
1571C4⋊C4—114no—
1572C4⋊C4—114no—
1573C4⋊C4—114no—
1574C4⋊C4—114no—
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⋊C4C23×D1114yes—
1592C4⋊C4C23×D1114yes—
1593C4⋊C4C23×D1114yes—
1594C4⋊C4C23×D1114yes—
1595C4⋊C4C23×D1114yes—
1596C4⋊C4C23×D1114yes—
1597C4⋊C4C23×D1114yes—
1598C4⋊C4C23×D1114yes—
1599C4⋊C4C23×D1114yes—
1600C4⋊C4C23×D1114yes—
1601C4⋊C4C23×D1114yes—
1602C4⋊C4C23×D1114yes—
1603C4⋊C4C23×D1114yes—
1604C4⋊C4C23×D1114yes—
1605C4⋊C4C23×D1114yes—
1606C4⋊C4C23×D1114yes—
1607C22⋊C4—114no—
1608C22⋊C4—114no—
1609C22⋊C4—114no—
1610C22⋊C4—114no—
1611C22⋊C4—114no—
1612C22⋊C4—114no—
1613C22⋊C4—114no—
1614C22⋊C4—114no—
1615C22⋊C4—114no—
1616C22⋊C4—114no—
1617C22⋊C4—114no—
1618C22⋊C4—114no—
1619C22⋊C4—114no—
1620C22⋊C4—114no—
1621C22⋊C4—114no—
1622C22⋊C4—114no—
1623C22⋊C4—114no—
1624C22⋊C4—114no—
1625C22⋊C4—114no—
1626C22⋊C4—114no—
1627C22⋊C4—114no—
1628C22⋊C4—114no—
1629C22⋊C4—114no—
1630C22⋊C4—114no—
1631C22⋊C4—114no—
1632C22⋊C4—114no—
1633C22⋊C4—114no—
1634C22⋊C4—114no—
1635C22⋊C4—114no—
1636C22⋊C4—114no—
1637C22⋊C4—114no—
1638C22⋊C4—114no—
1639C22⋊C4C23×D1114yes—
1640C22⋊C4C23×D1114yes—
1641C22⋊C4C23×D1114yes—
1642C22⋊C4C23×D1114yes—
1643C22⋊C4C23×D1114yes—
1644C22⋊C4C23×D1114yes—
1645C22⋊C4C23×D1114yes—
1646C22⋊C4C23×D1114yes—
1647C42—114no—
1648C42—114no—
1649C42—114no—
1650C42—114no—
1651C42—114no—
1652C42—114no—
1653C42—114no—
1654C42—114no—
1655C42—114no—
1656C42—114no—
1657C42—114no—
1658C42—114no—
1659C42—114no—
1660C42—114no—
1661C42—114no—
1662C42C23×D1114yes—
1663C42C23×D1114yes—
1664C42C23×D1114yes—
1665C42C23×D1114yes—
1666C42C23×D1114yes—
1667C11C2×#355711yescharacteristic, complemented, Sylow
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—112no—
1675C23—112no—
1676C23—112no—
1677C23—222no—
1678C23—222no—
1679C23—222no—
1680C23—222no—
1681C23—222no—
1682C23—222no—
1683C23—222no—
1684C23—222no—
1685C23—222no—
1686C23C24×D1112yes—
1687C23C24×D1112yes—
1688C23C24×D1111yescharacteristic
1689Q8—44no—
1690Q8—228no—
1691Q8—228no—
1692Q8—444no—
1693Q8—444no—
1694Q8—444no—
1695Q8—444no—
1696Q8—444no—
1697Q8—444no—
1698Q8—444no—
1699D4—44no—
1700D4—228no—
1701D4—228no—
1702D4—444no—
1703D4—444no—
1704D4—444no—
1705D4—444no—
1706D4—444no—
1707D4—444no—
1708D4—444no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—114no—
1727C2×C4—112no—
1728C2×C4—112no—
1729C2×C4—112no—
1730C2×C4—112no—
1731C2×C4—112no—
1732C2×C4—112no—
1733C2×C4—112no—
1734C2×C4—112no—
1735C2×C4—112no—
1736C2×C4—112no—
1737C2×C4—112no—
1738C2×C4—112no—
1739C2×C4—112no—
1740C2×C4—228no—
1741C2×C4—222no—
1742C2×C4—222no—
1743C2×C4—222no—
1744C2×C4—222no—
1745C2×C4—222no—
1746C2×C4—222no—
1747C2×C4—222no—
1748C2×C4—222no—
1749C2×C4—222no—
1750C2×C4—222no—
1751C2×C4—222no—
1752C2×C4—222no—
1753C2×C4—444no—
1754C2×C4—444no—
1755C2×C4—444no—
1756C2×C4—444no—
1757C2×C4—444no—
1758C2×C4—444no—
1759C2×C4—444no—
1760C2×C4—444no—
1761C2×C4—444no—
1762C2×C4—444no—
1763C2×C4C24×D1112yes—
1764C2×C4C24×D1112yes—
1765C2×C4C24×D1112yes—
1766C2×C4C24×D1112yes—
1767C2×C4C24×D1112yes—
1768C2×C4C24×D1112yes—
1769C2×C4C24×D1112yes—
1770C2×C4C24×D1112yes—
1771C2×C4C24×D1112yes—
1772C2×C4C24×D1112yes—
1773C2×C4C24×D1112yes—
1774C2×C4C24×D1112yes—
1775C2×C4C24×D1112yes—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—44no—
1783C22—44no—
1784C22—222no—
1785C22—222no—
1786C22—222no—
1787C22—222no—
1788C22—222no—
1789C22—222no—
1790C22—222no—
1791C22—222no—
1792C22—222no—
1793C22—444no—
1794C22—444no—
1795C22—444no—
1796C22#1062345312yes—
1797C22#1062345312yes—
1798C22D11×2−1+412yes—
1799C22C25×D1111yescharacteristic
1800C4—22no—
1801C4—22no—
1802C4—22no—
1803C4—22no—
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—22no—
1813C4—114no—
1814C4—222no—
1815C4—222no—
1816C4—222no—
1817C4—222no—
1818C4—222no—
1819C4—222no—
1820C4—222no—
1821C4—222no—
1822C4—222no—
1823C4—222no—
1824C4—222no—
1825C4—222no—
1826C2—42no—
1827C2—42no—
1828C2—442no—
1829C2—442no—
1830C2—442no—
1831C2#1308311214yesdirect product factor
1832C2C2×D11×2−1+411yescharacteristic
1833C2C2×#1062345311yescharacteristic
1834C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#552C2
socleC23×C11C25
prime radicalC2×#10623194C2
hypercenterC2×#552D11
hypocenterC11C2×#3557
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#552

Complements

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

NH ≅ G/Ntype
1. #13083112C2direct (N × H)
2. C2×#10623230C2semidirect
3. C2×#10623182C2semidirect
4. C2×#10623243C2semidirect
5. C2×#10623177C2semidirect
6. C2×#10623195C2semidirect
7. C2×#10623090C2semidirect
8. C2×#10623098C2semidirect
9. C2×#10623216C2semidirect
10. C2×#10623064C2semidirect
11. C2×#10623233C2semidirect
12. C2×#10623042C2semidirect
13. C2×#10623167C2semidirect
14. C2×#10623060C2semidirect
15. C2×#10623062C2semidirect
16. C2×#10623224C2semidirect
17. C2×#10623113C2semidirect
18. C2×#10623065C2semidirect
19. C2×#10623171C2semidirect
20. C2×#10623171C2semidirect
21. C2×#10623193C2semidirect
22. C2×#10623241C2semidirect
23. C2×#10623227C2semidirect
25. C2×#10623223C2semidirect
26. C2×#10623046C2semidirect
27. C2×#10623095C2semidirect
28. C2×#10623238C2semidirect
29. C2×#10623219C2semidirect
30. C2×#10623059C2semidirect
31. C2×#10623059C2semidirect
32. C2×C11×#552C2semidirect
33. C11×#552C22semidirect
73. #10623243C22semidirect
74. #10623241C22semidirect
75. #10623238C22semidirect
76. #10623233C22semidirect
77. #10623230C22semidirect
78. #10623227C22semidirect
79. #10623224C22semidirect
80. #10623223C22semidirect
81. #10623219C22semidirect
82. #10623216C22semidirect
83. #10623195C22semidirect
85. #10623193C22semidirect
86. #10623182C22semidirect
87. #10623177C22semidirect
88. #10623171C22semidirect
89. #10623171C22semidirect
90. #10623167C22semidirect
91. #10623113C22semidirect
92. #10623098C22semidirect
93. #10623095C22semidirect
94. #10623090C22semidirect
95. #10623065C22semidirect
96. #10623064C22semidirect
97. #10623062C22semidirect
98. #10623060C22semidirect
99. #10623059C22semidirect
100. #10623059C22semidirect
101. #10623046C22semidirect
111. #10623042C22semidirect
767. C2×#552D11semidirect
906. #552C2×D11semidirect
1439. C2×C11#3557semidirect
1667. C11C2×#3557semidirect
1831. C2#13083112direct (N × H)

Maximal subgroups

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

subgroupindex
#130831122
C2×#106232302
C2×#106231822
C2×#106232432
C2×#106231772
C2×#106231952
C2×#106230902
C2×#106230982
C2×#106232162
C2×#106230642
C2×#106232332
C2×#106230422
C2×#106231672
C2×#106230602
C2×#106230622
C2×#106232242
C2×#106231132
C2×#106230652
C2×#106231712
C2×#106231932
C2×#106232412
C2×#106232272
C2×#106231942
C2×#106232232
C2×#106230462
C2×#106230952
C2×#106232382
C2×#106232192
C2×#106230592
C2×C11×#5522
C2×#355711