Finite Group Databasebeta

← C2×#13082824 #15660981

Subgroups — C2×#13082824 #15660981

Order 2816.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082824C2132yesmaximal, direct product factor
2C2×#10623182C211yesmaximal, characteristic, complemented
3C2×#10623243C211yesmaximal, characteristic, complemented
4C2×#10623198C211yesmaximal, characteristic, complemented
5C2×#10623152C211yesmaximal, characteristic, complemented
6C2×#10623221C211yesmaximal, characteristic, complemented
7C2×#10623042C211yesmaximal, characteristic, complemented
8C2×#10623239C211yesmaximal, characteristic, complemented
9C2×#10623224C211yesmaximal, characteristic, complemented
10C2×#10623087C211yesmaximal, characteristic, complemented
11C2×#10623190C211yesmaximal, characteristic, complemented
12C2×#10623236C211yesmaximal, characteristic, complemented
13C2×#10623236C211yesmaximal, characteristic, complemented
14C2×#10623082C211yesmaximal, characteristic, complemented
15C2×#10623038C211yesmaximal, characteristic, complemented
16C2×#10623143C211yesmaximal, characteristic, complemented
17C2×#10623185C211yesmaximal, characteristic, complemented
18C2×#10623220C211yesmaximal, characteristic, complemented
19C2×#10623165C211yesmaximal, characteristic, complemented
20C2×#10623193C211yesmaximal, characteristic, complemented
21C2×#10623092C211yesmaximal, characteristic, complemented
22C2×#10623223C211yesmaximal, characteristic, complemented
23C2×#10623169C211yesmaximal, characteristic, complemented
24C2×#10623169C211yesmaximal, characteristic, complemented
25C2×#10623191C211yesmaximal, characteristic, complemented
26C2×#10623188C211yesmaximal, characteristic, complemented
27C2×#10623159C211yesmaximal, characteristic, complemented
28C2×#10623159C211yesmaximal, characteristic, complemented
29C2×#10623078C211yesmaximal, characteristic, complemented
30C2×D11×#123C211yesmaximal, characteristic, complemented
31C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
32C2×C11×#539C211yesmaximal, characteristic, complemented
33C22×Q8×D11C2211yescharacteristic, complemented
34C22×D4×D11C2211yescharacteristic
35C22×#4339C2211yescharacteristic
36C22×#4339C2211yescharacteristic
37C22×#4339C2211yescharacteristic, complemented
38C23×C4×D11C2211yescharacteristic
39C11×#539C22116yescomplemented
40C2×C11×#126C2211yescharacteristic, complemented
41C2×C11×#126C2211yescharacteristic, complemented
42C2×C11×#125C2211yescharacteristic, complemented
43C2×C11×#125C2211yescharacteristic, complemented
44C2×C11×#123C2211yescharacteristic
45C2×C11×#123C2211yescharacteristic
46C2×C11×#123C2211yescharacteristic, complemented
47C2×C11×#123C2211yescharacteristic, complemented
48C2×C11×C22⋊Q8C2211yescharacteristic, complemented
49C2×C11×C22⋊Q8C2211yescharacteristic, complemented
50C2×C11×C22⋊Q8C2211yescharacteristic, complemented
51C2×C11×#121C2211yescharacteristic
52C2×C4×D4×C11C2211yescharacteristic, complemented
53C2×C4×D4×C11C2211yescharacteristic, complemented
54C22×C11×C4⋊C4C2211yescharacteristic, complemented
55C2×#66999C2211yescharacteristic
56C2×#66999C2211yescharacteristic, complemented
57C2×#66999C2211yescharacteristic, complemented
58C2×#66992C2211yescharacteristic
59C2×#66992C2211yescharacteristic, complemented
60C2×#66991C2211yescharacteristic
61C2×#66991C2211yescharacteristic
62C2×#66991C2211yescharacteristic, complemented
63C2×#66990C2211yescharacteristic
64C2×#66990C2211yescharacteristic
65C2×#66989C2211yescharacteristic
66C2×#66989C2211yescharacteristic, complemented
67C2×#66988C2211yescharacteristic
68C2×#66988C2211yescharacteristic, complemented
69C2×#66983C2211yescharacteristic, complemented
70C2×#66982C2211yescharacteristic
71C2×#66982C2211yescharacteristic, complemented
72C2×#66982C2211yescharacteristic, complemented
73C2×C4×C22⋊D11C2211yescharacteristic
74C2×C4×C22⋊D11C2211yescharacteristic
75C2×C4×C22⋊D11C2211yescharacteristic
76C2×C4×C22⋊D11C2211yescharacteristic, complemented
77C2×C4×C22⋊D11C2211yescharacteristic, complemented
78C22×(C2×D11)⋊C4C2211yescharacteristic
79C2×#66977C2211yescharacteristic, complemented
80C2×#66977C2211yescharacteristic, complemented
81C2×#66977C2211yescharacteristic, complemented
82C2×#66977C2211yescharacteristic, complemented
83C2×#66977C2211yescharacteristic, complemented
84C2×#66977C2211yescharacteristic, complemented
85#10623243C22116yescomplemented
86#10623239C22116yescomplemented
87#10623236C22116yescomplemented
88#10623236C22116yescomplemented
89#10623224C22116yescomplemented
90#10623223C22116yescomplemented
91#10623221C22116yescomplemented
92#10623220C22116yescomplemented
93#10623198C22116yescomplemented
94#10623193C22116yescomplemented
95#10623191C22116yescomplemented
96#10623190C22116yescomplemented
97#10623188C22116yescomplemented
98#10623185C22116yescomplemented
99D11×#123C22116yescomplemented
100#10623182C22116yescomplemented
101#10623169C22116yescomplemented
102#10623169C22116yescomplemented
103#10623165C22116yescomplemented
104#10623159C22116yescomplemented
105#10623159C22116yescomplemented
106D11×C22⋊Q8C22116yescomplemented
107#10623152C22116yescomplemented
108#10623143C22116yescomplemented
109#10623092C22116yescomplemented
110#10623087C22116yescomplemented
111#10623082C22116yescomplemented
112#10623078C22116yescomplemented
113C2×#66951C2211yescharacteristic, complemented
114C2×#66951C2211yescharacteristic, complemented
115C2×#66951C2211yescharacteristic, complemented
116#10623042C22116yescomplemented
117C2×#66950C2211yescharacteristic
118C2×#66950C2211yescharacteristic
119C2×#66950C2211yescharacteristic
120C2×#66950C2211yescharacteristic, complemented
121C2×#66950C2211yescharacteristic, complemented
122C2×#66950C2211yescharacteristic, complemented
123C2×#66949C2211yescharacteristic
124C2×#66949C2211yescharacteristic
125C2×#66949C2211yescharacteristic
126C2×#66949C2211yescharacteristic
127C2×#66949C2211yescharacteristic
128C2×#66949C2211yescharacteristic, complemented
129C2×#66949C2211yescharacteristic, complemented
130C2×#66949C2211yescharacteristic, complemented
131C2×#66949C2211yescharacteristic, complemented
132C2×#66949C2211yescharacteristic, complemented
133C2×#66949C2211yescharacteristic, complemented
134#10623038C22116yescomplemented
135C2×#66948C2211yescharacteristic
136C2×#66947C2211yescharacteristic
137C2×#66947C2211yescharacteristic
138C2×#66947C2211yescharacteristic
139C2×#66947C2211yescharacteristic
140C2×#66947C2211yescharacteristic, complemented
141C2×#66947C2211yescharacteristic, complemented
142C2×#66947C2211yescharacteristic, complemented
143C2×#66947C2211yescharacteristic, complemented
144C2×#66946C2211yescharacteristic
145C2×#66946C2211yescharacteristic
146C2×#66946C2211yescharacteristic
147C2×#66946C2211yescharacteristic, complemented
148C2×#66945C2211yescharacteristic
149C2×#66945C2211yescharacteristic, complemented
150C2×#66945C2211yescharacteristic, complemented
151C2×C4⋊C4×D11C2211yescharacteristic
152C2×C4⋊C4×D11C2211yescharacteristic
153C2×C4⋊C4×D11C2211yescharacteristic, complemented
154C2×C4⋊C4×D11C2211yescharacteristic, complemented
155C2×C4⋊C4×D11C2211yescharacteristic, complemented
156C2×C4⋊C4×D11C2211yescharacteristic, complemented
157C2×#66943C2211yescharacteristic, complemented
158C2×#66943C2211yescharacteristic, complemented
159C2×#66942C2211yescharacteristic, complemented
160C2×#66942C2211yescharacteristic, complemented
161C2×#66942C2211yescharacteristic, complemented
162C2×#66942C2211yescharacteristic, complemented
163C2×#66942C2211yescharacteristic, complemented
164C2×#66942C2211yescharacteristic, complemented
165C2×#66941C2211yescharacteristic, complemented
166C2×#66941C2211yescharacteristic, complemented
167C2×#66941C2211yescharacteristic, complemented
168C2×#66941C2211yescharacteristic, complemented
169C2×#66941C2211yescharacteristic, complemented
170C2×#66940C2211yescharacteristic, complemented
171C2×#66939C2211yescharacteristic
172C2×#66938C2211yescharacteristic
173C2×#66938C2211yescharacteristic, complemented
174C2×#66938C2211yescharacteristic, complemented
175C2×#66938C2211yescharacteristic, complemented
176C2×#66938C2211yescharacteristic, complemented
177C2×#66938C2211yescharacteristic, complemented
178C2×#66937C2211yescharacteristic
179C2×#66937C2211yescharacteristic
180C2×#66936C2211yescharacteristic
181C2×#66936C2211yescharacteristic
182C2×#66936C2211yescharacteristic
183C2×#66936C2211yescharacteristic
184C2×#66936C2211yescharacteristic
185C2×#66936C2211yescharacteristic, complemented
186C2×#66936C2211yescharacteristic, complemented
187C2×#66936C2211yescharacteristic, complemented
188C2×#66936C2211yescharacteristic, complemented
189C2×#66936C2211yescharacteristic, complemented
190C2×#66935C2211yescharacteristic
191C2×#66935C2211yescharacteristic
192C2×(C22⋊D11)⋊C4C2211yescharacteristic
193C2×C22⋊C4×D11C2211yescharacteristic
194C2×C22⋊C4×D11C2211yescharacteristic
195C2×C22⋊C4×D11C2211yescharacteristic
196C2×C22⋊C4×D11C2211yescharacteristic
197C2×C22⋊C4×D11C2211yescharacteristic
198C2×C22⋊C4×D11C2211yescharacteristic
199C2×#66932C2211yescharacteristic, complemented
200C2×#66932C2211yescharacteristic, complemented
201C2×#66932C2211yescharacteristic, complemented
202C2×#66932C2211yescharacteristic, complemented
203C2×#66932C2211yescharacteristic, complemented
204C2×#66932C2211yescharacteristic, complemented
205C2×#66931C2211yescharacteristic, complemented
206C2×#66931C2211yescharacteristic, complemented
207C2×#66931C2211yescharacteristic, complemented
208C2×#66931C2211yescharacteristic, complemented
209C2×#66931C2211yescharacteristic, complemented
210C2×#66930C2211yescharacteristic, complemented
211C2×#66929C2211yescharacteristic, complemented
212C2×C4×D44C2211yescharacteristic
213C2×C4×D44C2211yescharacteristic, complemented
214C2×#66925C2211yescharacteristic
215C2×#66925C2211yescharacteristic, complemented
216C2×#66925C2211yescharacteristic, complemented
217C2×#66922C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C22×Q8×C11C2311yescharacteristic
222C22×D4×C11C2311yescharacteristic
223C22×D4×C11C2311yescharacteristic
224C22×D4×C11C2311yescharacteristic
225C23×C4×C11C2311yescharacteristic
226C23×C4×C11C2311yescharacteristic
227C23×C4×C11C2311yescharacteristic
228C23×C4×C11C2311yescharacteristic
229C23×C4×C11C2311yescharacteristic
230C22×C22⋊D11C2311yescharacteristic
231C22×C22⋊D11C2311yescharacteristic
232C22×C22⋊D11C2311yescharacteristic
233C22×C22⋊D11C2311yescharacteristic
234C22×C22⋊D11C2311yescharacteristic
235C22×C22⋊D11C2311yescharacteristic
236C22×C22⋊D11C2311yescharacteristic
237C22×C22⋊D11C2311yescharacteristic
238C23×Dic11C2311yescharacteristic
239C23×Dic11C2311yescharacteristic
240C2×Q8×D11—44no—
241C2×Q8×D11C2318yescomplemented
242C2×D4×D11—44no—
243C2×D4×D11C2318yes—
244C2×#4339—44no—
245C2×#4339—44no—
246C2×#4339—44no—
247C2×#4339C2318yes—
248C2×#4339C2318yes—
249C2×#4339C2318yescomplemented
250C22×D44C2311yescharacteristic
251C22×D44C2311yescharacteristic
252C22×D44C2311yescharacteristic
253C22×D44C2311yescharacteristic
254C22×C4×D11—44no—
255C22×C4×D11C2311yescharacteristic
256C22×C4×D11C2311yescharacteristic
257C22×C4×D11C2311yescharacteristic
258C22×C4×D11C2311yescharacteristic
259C22×C4×D11C2311yescharacteristic
260C22×C4×D11C2311yescharacteristic
261C22×C4×D11C2311yescharacteristic
262C22×C4×D11C2311yescharacteristic
263C22×C4×D11C2311yescharacteristic
264C22×C4×D11C2311yescharacteristic
265C22×C4×D11C2311yescharacteristic
266C22×C4×D11C2311yescharacteristic
267C22×C4×D11C2311yescharacteristic
268C22×C4×D11C2311yescharacteristic
269C22×C4×D11C2311yescharacteristic
270C22×C4×D11C2311yescharacteristic
271C22×C4×D11C2318yes—
272C22×Dic22C2311yescharacteristic
273C22×Dic22C2311yescharacteristic
274C22×Dic22C2311yescharacteristic
275C22×Dic22C2311yescharacteristic
276C22×Dic22C2311yescharacteristic
277C22×Dic22C2311yescharacteristic
278C22×Dic22C2311yescharacteristic
279C22×Dic22C2311yescharacteristic
280C11×#126C2318yescomplemented
281C11×#126C2318yescomplemented
282C11×#125C2318yescomplemented
283C11×#125C2318yescomplemented
284C11×#123C2318yes—
285C11×#123C2318yes—
286C11×#123C2318yescomplemented
287C11×#123C2318yescomplemented
288C11×C22⋊Q8C2318yescomplemented
289C11×C22⋊Q8C2318yescomplemented
290C11×C22⋊Q8C2318yescomplemented
291C11×#121C2318yes—
292C4×D4×C11C2318yescomplemented
293C4×D4×C11C2318yescomplemented
294C2×C11×C4⋊C4C2311yescharacteristic
295C2×C11×C4⋊C4C2311yescharacteristic
296C2×C11×C4⋊C4C2311yescharacteristic
297C2×C11×C4⋊C4C2311yescharacteristic
298C2×C11×C4⋊C4C2311yescharacteristic
299C2×C11×C4⋊C4C2311yescharacteristic
300C2×C11×C4⋊C4C2311yescharacteristic
301C2×C11×C4⋊C4C2311yescharacteristic
302C2×C11×C4⋊C4C2311yescharacteristic
303C2×C11×C4⋊C4C2311yescharacteristic
304C2×C11×C4⋊C4C2311yescharacteristic
305C2×C11×C4⋊C4C2311yescharacteristic
306C2×C11×C4⋊C4C2311yescharacteristic
307C2×C11×C4⋊C4C2311yescharacteristic
308C2×C11×C4⋊C4C2318yescomplemented
309C2×C11×C22⋊C4C2311yescharacteristic
310C2×C11×C22⋊C4C2311yescharacteristic
311C2×C11×C22⋊C4C2311yescharacteristic
312C2×C11×C22⋊C4C2311yescharacteristic
313C2×C11×C22⋊C4C2311yescharacteristic
314C2×C11×C22⋊C4C2311yescharacteristic
315C2×C11×C22⋊C4C2311yescharacteristic
316C2×C11×C22⋊C4C2311yescharacteristic
317C2×C11×C22⋊C4C2311yescharacteristic
318C2×C11×C22⋊C4C2311yescharacteristic
319C2×C42×C11C2311yescharacteristic
320C2×C42×C11C2311yescharacteristic
321C2×C22⋊Dic11C2311yescharacteristic
322C2×C22⋊Dic11C2311yescharacteristic
323C2×C22⋊Dic11C2311yescharacteristic
324C2×C22⋊Dic11C2311yescharacteristic
325C2×C22⋊Dic11C2311yescharacteristic
326C2×C22⋊Dic11C2311yescharacteristic
327C2×C22⋊Dic11C2311yescharacteristic
328C2×C22⋊Dic11C2311yescharacteristic
329C2×C22⋊Dic11C2311yescharacteristic
330C2×C22⋊Dic11C2311yescharacteristic
331C2×C22⋊Dic11C2311yescharacteristic
332C2×C22⋊Dic11C2311yescharacteristic
333#66999C2318yes—
334#66999C2318yescomplemented
335#66999C2318yescomplemented
336#66992C2318yes—
337#66992C2318yescomplemented
338#66991C2318yes—
339#66991C2318yes—
340#66991C2318yescomplemented
341#66990C2318yes—
342#66990C2318yes—
343#66989C2318yes—
344#66989C2318yescomplemented
345#66988C2318yes—
346#66988C2318yescomplemented
347#66983C2318yescomplemented
348#66982C2318yes—
349#66982C2318yescomplemented
350#66982C2318yescomplemented
351C4×C22⋊D11C2318yes—
352C4×C22⋊D11C2318yes—
353C4×C22⋊D11C2318yes—
354C4×C22⋊D11C2318yescomplemented
355C4×C22⋊D11C2318yescomplemented
356C2×(C2×D11)⋊C4C2311yescharacteristic
357C2×(C2×D11)⋊C4C2311yescharacteristic
358C2×(C2×D11)⋊C4C2311yescharacteristic
359C2×(C2×D11)⋊C4C2311yescharacteristic
360C2×(C2×D11)⋊C4C2311yescharacteristic
361C2×(C2×D11)⋊C4C2311yescharacteristic
362C2×(C2×D11)⋊C4C2311yescharacteristic
363C2×(C2×D11)⋊C4C2311yescharacteristic
364C2×(C2×D11)⋊C4C2311yescharacteristic
365C2×(C2×D11)⋊C4C2311yescharacteristic
366C2×(C2×D11)⋊C4C2311yescharacteristic
367C2×(C2×D11)⋊C4C2311yescharacteristic
368C2×(C2×D11)⋊C4C2311yescharacteristic
369C2×(C2×D11)⋊C4C2311yescharacteristic
370C2×(C2×D11)⋊C4C2311yescharacteristic
371C2×(C2×D11)⋊C4C2311yescharacteristic
372C2×(C2×D11)⋊C4C2311yescharacteristic
373C2×(C2×D11)⋊C4C2311yescharacteristic
374C2×(C2×D11)⋊C4C2311yescharacteristic
375C2×(C2×D11)⋊C4C2311yescharacteristic
376C2×(C2×D11)⋊C4C2311yescharacteristic
377C2×(C2×D11)⋊C4C2311yescharacteristic
378C2×(C2×D11)⋊C4C2311yescharacteristic
379C2×(C2×D11)⋊C4C2311yescharacteristic
380C2×(C2×D11)⋊C4C2318yes—
381C2×C4⋊Dic11C2311yescharacteristic
382C2×C4⋊Dic11C2311yescharacteristic
383C2×C4⋊Dic11C2311yescharacteristic
384C2×C4⋊Dic11C2311yescharacteristic
385C2×C4⋊Dic11C2311yescharacteristic
386C2×C4⋊Dic11C2311yescharacteristic
387C2×C4⋊Dic11C2311yescharacteristic
388C2×C4⋊Dic11C2311yescharacteristic
389C2×C4⋊Dic11C2311yescharacteristic
390C2×C4⋊Dic11C2311yescharacteristic
391C2×C4⋊Dic11C2311yescharacteristic
392C2×C4⋊Dic11C2311yescharacteristic
393#66977C2318yescomplemented
394#66977C2318yescomplemented
395#66977C2318yescomplemented
396#66977C2318yescomplemented
397#66977C2318yescomplemented
398#66977C2318yescomplemented
399C2×Dic11⋊C4C2311yescharacteristic
400C2×Dic11⋊C4C2311yescharacteristic
401C2×Dic11⋊C4C2311yescharacteristic
402C2×Dic11⋊C4C2311yescharacteristic
403C2×Dic11⋊C4C2311yescharacteristic
404C2×Dic11⋊C4C2311yescharacteristic
405C2×Dic11⋊C4C2311yescharacteristic
406C2×Dic11⋊C4C2311yescharacteristic
407C2×Dic11⋊C4C2311yescharacteristic
408C2×Dic11⋊C4C2311yescharacteristic
409C2×Dic11⋊C4C2311yescharacteristic
410C2×Dic11⋊C4C2311yescharacteristic
411C2×Dic11⋊C4C2311yescharacteristic
412C2×Dic11⋊C4C2311yescharacteristic
413C2×Dic11⋊C4C2311yescharacteristic
414C2×Dic11⋊C4C2311yescharacteristic
415C2×Dic11⋊C4C2311yescharacteristic
416C2×Dic11⋊C4C2311yescharacteristic
417C2×Dic11⋊C4C2311yescharacteristic
418C2×Dic11⋊C4C2311yescharacteristic
419C2×Dic11⋊C4C2311yescharacteristic
420C2×Dic11⋊C4C2311yescharacteristic
421C2×Dic11⋊C4C2311yescharacteristic
422C2×Dic11⋊C4C2311yescharacteristic
423C2×C4×Dic11C2311yescharacteristic
424C2×C4×Dic11C2311yescharacteristic
425C2×C4×Dic11C2311yescharacteristic
426C2×C4×Dic11C2311yescharacteristic
427C2×C4×Dic11C2311yescharacteristic
428C2×C4×Dic11C2311yescharacteristic
429C2×C4×Dic11C2311yescharacteristic
430C2×C4×Dic11C2311yescharacteristic
431#66951C2318yescomplemented
432#66951C2318yescomplemented
433#66951C2318yescomplemented
434#66950C2318yes—
435#66950C2318yes—
436#66950C2318yes—
437#66950C2318yescomplemented
438#66950C2318yescomplemented
439#66950C2318yescomplemented
440#66949C2318yes—
441#66949C2318yes—
442#66949C2318yes—
443#66949C2318yes—
444#66949C2318yes—
445#66949C2318yescomplemented
446#66949C2318yescomplemented
447#66949C2318yescomplemented
448#66949C2318yescomplemented
449#66949C2318yescomplemented
450#66949C2318yescomplemented
451#66948C2318yes—
452#66947C2318yes—
453#66947C2318yes—
454#66947C2318yes—
455#66947C2318yes—
456#66947C2318yescomplemented
457#66947C2318yescomplemented
458#66947C2318yescomplemented
459#66947C2318yescomplemented
460#66946C2318yes—
461#66946C2318yes—
462#66946C2318yes—
463#66946C2318yescomplemented
464#66945C2318yes—
465#66945C2318yescomplemented
466#66945C2318yescomplemented
467C4⋊C4×D11C2318yes—
468C4⋊C4×D11C2318yes—
469C4⋊C4×D11C2318yescomplemented
470C4⋊C4×D11C2318yescomplemented
471C4⋊C4×D11C2318yescomplemented
472C4⋊C4×D11C2318yescomplemented
473#66943C2318yescomplemented
474#66943C2318yescomplemented
475#66942C2318yescomplemented
476#66942C2318yescomplemented
477#66942C2318yescomplemented
478#66942C2318yescomplemented
479#66942C2318yescomplemented
480#66942C2318yescomplemented
481#66941C2318yescomplemented
482#66941C2318yescomplemented
483#66941C2318yescomplemented
484#66941C2318yescomplemented
485#66941C2318yescomplemented
486#66940C2318yescomplemented
487#66939C2318yes—
488#66938C2318yes—
489#66938C2318yescomplemented
490#66938C2318yescomplemented
491#66938C2318yescomplemented
492#66938C2318yescomplemented
493#66938C2318yescomplemented
494#66937C2318yes—
495#66937C2318yes—
496#66936C2318yes—
497#66936C2318yes—
498#66936C2318yes—
499#66936C2318yes—
500#66936C2318yes—
501#66936C2318yescomplemented
502#66936C2318yescomplemented
503#66936C2318yescomplemented
504#66936C2318yescomplemented
505#66936C2318yescomplemented
506#66935C2318yes—
507#66935C2318yes—
508(C22⋊D11)⋊C4C2318yes—
509C22⋊C4×D11C2318yes—
510C22⋊C4×D11C2318yes—
511C22⋊C4×D11C2318yes—
512C22⋊C4×D11C2318yes—
513C22⋊C4×D11C2318yes—
514C22⋊C4×D11C2318yes—
515#66932C2318yescomplemented
516#66932C2318yescomplemented
517#66932C2318yescomplemented
518#66932C2318yescomplemented
519#66932C2318yescomplemented
520#66932C2318yescomplemented
521#66931C2318yescomplemented
522#66931C2318yescomplemented
523#66931C2318yescomplemented
524#66931C2318yescomplemented
525#66931C2318yescomplemented
526#66930C2318yescomplemented
527#66929C2318yescomplemented
528C4×D44C2318yes—
529C4×D44C2318yescomplemented
530#66925C2318yes—
531#66925C2318yescomplemented
532#66925C2318yescomplemented
533#66922C2318yescomplemented
534C4×Dic22C2318yescomplemented
535C2×#3535—111nomaximal, Sylow
536C24×C11C2411yescharacteristic
537C24×C11C2411yescharacteristic
538C24×C11C2411yescharacteristic
539C23×D11—24no—
540C23×D11—24no—
541C23×D11—24no—
542C23×D11—42no—
543C23×D11—42no—
544C23×D11—42no—
545C23×D11C2411yescharacteristic
546C23×D11C2411yescharacteristic
547C23×D11C2414yes—
548C23×D11C2411yescharacteristic
549C23×D11C2411yescharacteristic
550C23×D11C2414yes—
551C2×Q8×C11—42no—
552C2×Q8×C11C2414yes—
553C2×D4×C11—42no—
554C2×D4×C11—42no—
555C2×D4×C11—42no—
556C2×D4×C11C2414yes—
557C2×D4×C11C2414yes—
558C2×D4×C11C2414yes—
559C22×C4×C11—42no—
560C22×C4×C11—42no—
561C22×C4×C11—42no—
562C22×C4×C11—42no—
563C22×C4×C11—42no—
564C22×C4×C11C2411yescharacteristic
565C22×C4×C11C2411yescharacteristic
566C22×C4×C11C2411yescharacteristic
567C22×C4×C11C2411yescharacteristic
568C22×C4×C11C2411yescharacteristic
569C22×C4×C11C2411yescharacteristic
570C22×C4×C11C2411yescharacteristic
571C22×C4×C11C2411yescharacteristic
572C22×C4×C11C2411yescharacteristic
573C22×C4×C11C2411yescharacteristic
574C22×C4×C11C2411yescharacteristic
575C22×C4×C11C2411yescharacteristic
576C22×C4×C11C2414yes—
577C22×C4×C11C2414yes—
578C22×C4×C11C2414yes—
579C22×C4×C11C2414yes—
580C22×C4×C11C2414yes—
581C2×C22⋊D11—24no—
582C2×C22⋊D11—24no—
583C2×C22⋊D11—24no—
584C2×C22⋊D11—42no—
585C2×C22⋊D11—42no—
586C2×C22⋊D11—42no—
587C2×C22⋊D11—42no—
588C2×C22⋊D11—42no—
589C2×C22⋊D11C2414yes—
590C2×C22⋊D11C2414yes—
591C2×C22⋊D11C2414yes—
592C2×C22⋊D11C2414yes—
593C2×C22⋊D11C2414yes—
594C2×C22⋊D11C2414yes—
595C2×C22⋊D11C2414yes—
596C2×C22⋊D11C2414yes—
597C22×Dic11—42no—
598C22×Dic11—42no—
599C22×Dic11C2411yescharacteristic
600C22×Dic11C2411yescharacteristic
601C22×Dic11C2411yescharacteristic
602C22×Dic11C2411yescharacteristic
603C22×Dic11C2411yescharacteristic
604C22×Dic11C2411yescharacteristic
605C22×Dic11C2411yescharacteristic
606C22×Dic11C2411yescharacteristic
607C22×Dic11C2411yescharacteristic
608C22×Dic11C2411yescharacteristic
609C22×Dic11C2411yescharacteristic
610C22×Dic11C2411yescharacteristic
611C22×Dic11C2414yes—
612C22×Dic11C2414yes—
613Q8×D11—416no—
614D4×D11—416no—
615#4339—416no—
616#4339—416no—
617#4339—416no—
618C2×D44—24no—
619C2×D44—24no—
620C2×D44—24no—
621C2×D44—42no—
622C2×D44C2414yes—
623C2×D44C2414yes—
624C2×D44C2414yes—
625C2×D44C2414yes—
626C2×C4×D11—24no—
627C2×C4×D11—24no—
628C2×C4×D11—24no—
629C2×C4×D11—24no—
630C2×C4×D11—24no—
631C2×C4×D11—42no—
632C2×C4×D11—42no—
633C2×C4×D11—42no—
634C2×C4×D11—42no—
635C2×C4×D11—42no—
636C2×C4×D11—42no—
637C2×C4×D11—42no—
638C2×C4×D11—42no—
639C2×C4×D11—42no—
640C2×C4×D11—42no—
641C2×C4×D11—42no—
642C2×C4×D11—416no—
643C2×C4×D11C2414yes—
644C2×C4×D11C2414yes—
645C2×C4×D11C2414yes—
646C2×C4×D11C2414yes—
647C2×C4×D11C2414yes—
648C2×C4×D11C2414yes—
649C2×C4×D11C2414yes—
650C2×C4×D11C2414yes—
651C2×C4×D11C2414yes—
652C2×C4×D11C2414yes—
653C2×C4×D11C2414yes—
654C2×C4×D11C2414yes—
655C2×C4×D11C2414yes—
656C2×C4×D11C2414yes—
657C2×C4×D11C2414yes—
658C2×C4×D11C2414yes—
659C2×Dic22—42no—
660C2×Dic22—42no—
661C2×Dic22—42no—
662C2×Dic22—42no—
663C2×Dic22—42no—
664C2×Dic22—42no—
665C2×Dic22—42no—
666C2×Dic22—42no—
667C2×Dic22C2414yes—
668C2×Dic22C2414yes—
669C2×Dic22C2414yes—
670C2×Dic22C2414yes—
671C2×Dic22C2414yes—
672C2×Dic22C2414yes—
673C2×Dic22C2414yes—
674C2×Dic22C2414yes—
675C11×C4⋊C4C2414yes—
676C11×C4⋊C4C2414yes—
677C11×C4⋊C4C2414yes—
678C11×C4⋊C4C2414yes—
679C11×C4⋊C4C2414yes—
680C11×C4⋊C4C2414yes—
681C11×C4⋊C4C2414yes—
682C11×C4⋊C4C2414yes—
683C11×C4⋊C4C2414yes—
684C11×C4⋊C4C2414yes—
685C11×C4⋊C4C2414yes—
686C11×C4⋊C4C2414yes—
687C11×C4⋊C4C2414yes—
688C11×C4⋊C4C2414yes—
689C11×C22⋊C4C2414yes—
690C11×C22⋊C4C2414yes—
691C11×C22⋊C4C2414yes—
692C11×C22⋊C4C2414yes—
693C11×C22⋊C4C2414yes—
694C11×C22⋊C4C2414yes—
695C11×C22⋊C4C2414yes—
696C11×C22⋊C4C2414yes—
697C11×C22⋊C4C2414yes—
698C11×C22⋊C4C2414yes—
699C42×C11C2414yes—
700C42×C11C2414yes—
701C22⋊Dic11C2414yes—
702C22⋊Dic11C2414yes—
703C22⋊Dic11C2414yes—
704C22⋊Dic11C2414yes—
705C22⋊Dic11C2414yes—
706C22⋊Dic11C2414yes—
707C22⋊Dic11C2414yes—
708C22⋊Dic11C2414yes—
709C22⋊Dic11C2414yes—
710C22⋊Dic11C2414yes—
711C22⋊Dic11C2414yes—
712C22⋊Dic11C2414yes—
713(C2×D11)⋊C4C2414yes—
714(C2×D11)⋊C4C2414yes—
715(C2×D11)⋊C4C2414yes—
716(C2×D11)⋊C4C2414yes—
717(C2×D11)⋊C4C2414yes—
718(C2×D11)⋊C4C2414yes—
719(C2×D11)⋊C4C2414yes—
720(C2×D11)⋊C4C2414yes—
721(C2×D11)⋊C4C2414yes—
722(C2×D11)⋊C4C2414yes—
723(C2×D11)⋊C4C2414yes—
724(C2×D11)⋊C4C2414yes—
725(C2×D11)⋊C4C2414yes—
726(C2×D11)⋊C4C2414yes—
727(C2×D11)⋊C4C2414yes—
728(C2×D11)⋊C4C2414yes—
729(C2×D11)⋊C4C2414yes—
730(C2×D11)⋊C4C2414yes—
731(C2×D11)⋊C4C2414yes—
732(C2×D11)⋊C4C2414yes—
733(C2×D11)⋊C4C2414yes—
734(C2×D11)⋊C4C2414yes—
735(C2×D11)⋊C4C2414yes—
736(C2×D11)⋊C4C2414yes—
737C4⋊Dic11C2414yes—
738C4⋊Dic11C2414yes—
739C4⋊Dic11C2414yes—
740C4⋊Dic11C2414yes—
741C4⋊Dic11C2414yes—
742C4⋊Dic11C2414yes—
743C4⋊Dic11C2414yes—
744C4⋊Dic11C2414yes—
745C4⋊Dic11C2414yes—
746C4⋊Dic11C2414yes—
747C4⋊Dic11C2414yes—
748C4⋊Dic11C2414yes—
749Dic11⋊C4C2414yes—
750Dic11⋊C4C2414yes—
751Dic11⋊C4C2414yes—
752Dic11⋊C4C2414yes—
753Dic11⋊C4C2414yes—
754Dic11⋊C4C2414yes—
755Dic11⋊C4C2414yes—
756Dic11⋊C4C2414yes—
757Dic11⋊C4C2414yes—
758Dic11⋊C4C2414yes—
759Dic11⋊C4C2414yes—
760Dic11⋊C4C2414yes—
761Dic11⋊C4C2414yes—
762Dic11⋊C4C2414yes—
763Dic11⋊C4C2414yes—
764Dic11⋊C4C2414yes—
765Dic11⋊C4C2414yes—
766Dic11⋊C4C2414yes—
767Dic11⋊C4C2414yes—
768Dic11⋊C4C2414yes—
769Dic11⋊C4C2414yes—
770Dic11⋊C4C2414yes—
771Dic11⋊C4C2414yes—
772Dic11⋊C4C2414yes—
773C4×Dic11C2414yes—
774C4×Dic11C2414yes—
775C4×Dic11C2414yes—
776C4×Dic11C2414yes—
777C4×Dic11C2414yes—
778C4×Dic11C2414yes—
779C4×Dic11C2414yes—
780C4×Dic11C2414yes—
781#3535—1132no—
782C2×#563—111no—
783C2×#563—111no—
784C2×#562—111no—
785C2×#562—111no—
786C2×#554—111no—
787C2×#554—111no—
788C2×#552—111no—
789C2×#552—111no—
790C2×#551—111no—
791C2×#551—111no—
792C2×#551—111no—
793C2×#551—111no—
794C2×#547—111no—
795C2×#547—111no—
796C2×#546—111no—
797C2×#546—111no—
798C2×#544—111no—
799C2×#543—111no—
800C2×#542—111no—
801C2×#542—111no—
802C2×#539—111no—
803C2×#539—111no—
804C2×#539—111no—
805C2×#539—111no—
806C2×#539D1111yescharacteristic, complemented
807C2×#538—111no—
808C2×#536—111no—
809C2×#536—111no—
810C2×#525—111no—
811C22×#123—111no—
812C22×C22⋊Q8—111no—
813C23×C11—22no—
814C23×C11—22no—
815C23×C11—22no—
816C23×C11—22no—
817C23×C11—22no—
818C23×C11—22no—
819C23×C11—22no—
820C23×C11—22no—
821C23×C11—22no—
822C23×C11C2512yes—
823C23×C11C2512yes—
824C23×C11C2512yes—
825C23×C11C2511yescharacteristic
826C22×D11—22no—
827C22×D11—22no—
828C22×D11—22no—
829C22×D11—22no—
830C22×D11—22no—
831C22×D11—22no—
832C22×D11—22no—
833C22×D11—22no—
834C22×D11—22no—
835C22×D11—22no—
836C22×D11—28no—
837C22×D11—28no—
838C22×D11—28no—
839C22×D11—44no—
840C22×D11—416no—
841C22×D11—44no—
842C22×D11—44no—
843C22×D11—88no—
844C22×D11H(5,𝔽2)14yes—
845C22×D112−1+414yes—
846C22×D11C2512yes—
847C22×D11C2512yes—
848C22×D11C2512yes—
849C22×D11C2512yes—
850Q8×C11—44no—
851D4×C11—44no—
852D4×C11—44no—
853D4×C11—44no—
854C2×C4×C11—22no—
855C2×C4×C11—22no—
856C2×C4×C11—22no—
857C2×C4×C11—22no—
858C2×C4×C11—22no—
859C2×C4×C11—22no—
860C2×C4×C11—22no—
861C2×C4×C11—22no—
862C2×C4×C11—22no—
863C2×C4×C11—22no—
864C2×C4×C11—22no—
865C2×C4×C11—22no—
866C2×C4×C11—44no—
867C2×C4×C11—44no—
868C2×C4×C11—44no—
869C2×C4×C11—44no—
870C2×C4×C11—44no—
871C2×C4×C11C2512yes—
872C2×C4×C11C2512yes—
873C2×C4×C11C2512yes—
874C2×C4×C11C2512yes—
875C2×C4×C11C2512yes—
876C2×C4×C11C2512yes—
877C2×C4×C11C2512yes—
878C2×C4×C11C2512yes—
879C2×C4×C11C2512yes—
880C2×C4×C11C2512yes—
881C2×C4×C11C2512yes—
882C2×C4×C11C2512yes—
883C22⋊D11—28no—
884C22⋊D11—28no—
885C22⋊D11—28no—
886C22⋊D11—44no—
887C22⋊D11—44no—
888C22⋊D11—44no—
889C22⋊D11—44no—
890C22⋊D11—44no—
891C2×Dic11—22no—
892C2×Dic11—22no—
893C2×Dic11—22no—
894C2×Dic11—22no—
895C2×Dic11—22no—
896C2×Dic11—22no—
897C2×Dic11—22no—
898C2×Dic11—22no—
899C2×Dic11—22no—
900C2×Dic11—22no—
901C2×Dic11—22no—
902C2×Dic11—22no—
903C2×Dic11—44no—
904C2×Dic11—44no—
905C2×Dic11C2512yes—
906C2×Dic11C2512yes—
907C2×Dic11C2512yes—
908C2×Dic11C2512yes—
909C2×Dic11C2512yes—
910C2×Dic11C2512yes—
911C2×Dic11C2512yes—
912C2×Dic11C2512yes—
913C2×Dic11C2512yes—
914C2×Dic11C2512yes—
915C2×Dic11C2512yes—
916C2×Dic11C2512yes—
917D44—28no—
918D44—28no—
919D44—28no—
920D44—44no—
921C4×D11—28no—
922C4×D11—28no—
923C4×D11—28no—
924C4×D11—28no—
925C4×D11—28no—
926C4×D11—44no—
927C4×D11—44no—
928C4×D11—44no—
929C4×D11—44no—
930C4×D11—44no—
931C4×D11—44no—
932C4×D11—44no—
933C4×D11—44no—
934C4×D11—44no—
935C4×D11—44no—
936C4×D11—44no—
937Dic22—44no—
938Dic22—44no—
939Dic22—44no—
940Dic22—44no—
941Dic22—44no—
942Dic22—44no—
943Dic22—44no—
944Dic22—44no—
945C22×#41—111no—
946C22×#41—111no—
947C22×#41—111no—
948C23×Q8—111no—
949C23×D4—111no—
950C24×C4—111no—
951#563—1116no—
952#563—1116no—
953#562—1116no—
954#562—1116no—
955#554—1116no—
956#554—1116no—
957#552—1116no—
958#552—1116no—
959#551—1116no—
960#551—1116no—
961#551—1116no—
962#551—1116no—
963#547—1116no—
964#547—1116no—
965#546—1116no—
966#546—1116no—
967#544—1116no—
968#543—1116no—
969#542—1116no—
970#542—1116no—
971#539—1116no—
972#539—1116no—
973#539—1116no—
974#539—1116no—
975#539C2×D11116yescomplemented
976#538—1116no—
977#536—1116no—
978#536—1116no—
979C2×C4⋊Q8—111no—
980C2×C4⋊Q8—111no—
981C2×C4⋊Q8—111no—
982C2×C4⋊Q8—111no—
983C2×C4⋊Q8—111no—
984C2×C4⋊Q8—111no—
985C2×#126—111no—
986C2×#126—111no—
987C2×#126—111no—
988C2×#126—111no—
989C2×#126—111no—
990C2×#126—111no—
991C2×#126—111no—
992C2×#126—111no—
993C2×#126—111no—
994C2×#126—111no—
995C2×#126C2×D1111yescharacteristic, complemented
996C2×#126C2×D1111yescharacteristic, complemented
997C2×#125—111no—
998C2×#125—111no—
999C2×#125—111no—
1000C2×#125—111no—
1001C2×#125—111no—
1002C2×#125—111no—
1003C2×#125—111no—
1004C2×#125—111no—
1005C2×#125C2×D1111yescharacteristic, complemented
1006C2×#125C2×D1111yescharacteristic, complemented
1007C2×#124—111no—
1008C2×#124—111no—
1009C2×#124—111no—
1010C2×#124—111no—
1011C2×#124—111no—
1012C2×#124—111no—
1013C2×#124—111no—
1014C2×#124—111no—
1015#525—1116no—
1016C2×#123—111no—
1017C2×#123—111no—
1018C2×#123—111no—
1019C2×#123—111no—
1020C2×#123—111no—
1021C2×#123—1116no—
1022C2×#123—111no—
1023C2×#123—111no—
1024C2×#123—111no—
1025C2×#123—111no—
1026C2×#123—111no—
1027C2×#123—111no—
1028C2×#123—111no—
1029C2×#123—111no—
1030C2×#123—111no—
1031C2×#123—111no—
1032C2×#123—111no—
1033C2×#123—111no—
1034C2×#123—111no—
1035C2×#123—111no—
1036C2×#123—111no—
1037C2×#123—111no—
1038C2×#123—111no—
1039C2×#123—111no—
1040C2×#123—111no—
1041C2×#123C2×D1111yescharacteristic
1042C2×#123C2×D1111yescharacteristic
1043C2×#123C2×D1111yescharacteristic, complemented
1044C2×#123C2×D1111yescharacteristic, complemented
1045C2×C22⋊Q8—111no—
1046C2×C22⋊Q8—111no—
1047C2×C22⋊Q8—111no—
1048C2×C22⋊Q8—111no—
1049C2×C22⋊Q8—111no—
1050C2×C22⋊Q8—111no—
1051C2×C22⋊Q8—111no—
1052C2×C22⋊Q8—111no—
1053C2×C22⋊Q8—111no—
1054C2×C22⋊Q8—1116no—
1055C2×C22⋊Q8—111no—
1056C2×C22⋊Q8—111no—
1057C2×C22⋊Q8—111no—
1058C2×C22⋊Q8—111no—
1059C2×C22⋊Q8—111no—
1060C2×C22⋊Q8—111no—
1061C2×C22⋊Q8—111no—
1062C2×C22⋊Q8—111no—
1063C2×C22⋊Q8—111no—
1064C2×C22⋊Q8—111no—
1065C2×C22⋊Q8—111no—
1066C2×C22⋊Q8—111no—
1067C2×C22⋊Q8—111no—
1068C2×C22⋊Q8—111no—
1069C2×C22⋊Q8—111no—
1070C2×C22⋊Q8—111no—
1071C2×C22⋊Q8—111no—
1072C2×C22⋊Q8—111no—
1073C2×C22⋊Q8—111no—
1074C2×C22⋊Q8—111no—
1075C2×C22⋊Q8—111no—
1076C2×C22⋊Q8—111no—
1077C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1078C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1079C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1080C2×#121—111no—
1081C2×#121—111no—
1082C2×#121—111no—
1083C2×#121—111no—
1084C2×#121—111no—
1085C2×#121—111no—
1086C2×#121—111no—
1087C2×#121—111no—
1088C2×#121—111no—
1089C2×#121C2×D1111yescharacteristic
1090C2×#120—111no—
1091C2×#120—111no—
1092C2×#120—111no—
1093C2×#120—111no—
1094C2×C4×Q8—111no—
1095C2×C4×Q8—111no—
1096C2×C4×D4—111no—
1097C2×C4×D4—111no—
1098C2×C4×D4—111no—
1099C2×C4×D4—111no—
1100C2×C4×D4—111no—
1101C2×C4×D4—111no—
1102C2×C4×D4—111no—
1103C2×C4×D4—111no—
1104C2×C4×D4—111no—
1105C2×C4×D4—111no—
1106C2×C4×D4—111no—
1107C2×C4×D4—111no—
1108C2×C4×D4C2×D1111yescharacteristic, complemented
1109C2×C4×D4C2×D1111yescharacteristic, complemented
1110C2×#117—111no—
1111C2×#117—111no—
1112C2×#117—111no—
1113C2×#117—111no—
1114C2×#117—111no—
1115C2×#117—111no—
1116C2×#117—111no—
1117C22×C4⋊C4—111no—
1118C22×C4⋊C4—111no—
1119C22×C4⋊C4—111no—
1120C22×C4⋊C4—111no—
1121C22×C4⋊C4—111no—
1122C22×C4⋊C4—111no—
1123C22×C4⋊C4C2×D1111yescharacteristic, complemented
1124C22×C22⋊C4—111no—
1125C22×C22⋊C4—111no—
1126C22×C22⋊C4—111no—
1127C22×C22⋊C4—111no—
1128C22×C22⋊C4—111no—
1129C22×C22⋊C4—111no—
1130C22×C22⋊C4—111no—
1131C22×C11—22no—
1132C22×C11—22no—
1133C22×C11—22no—
1134C22×C11—22no—
1135C22×C11—22no—
1136C22×C11—22no—
1137C22×C11—22no—
1138C22×C11—22no—
1139C22×C11—22no—
1140C22×C11—44no—
1141C22×C11—44no—
1142C22×C11—44no—
1143C22×C11C2×H(5,𝔽2)12yes—
1144C22×C11C2×2−1+412yes—
1145C22×C11#58512yes—
1146C22×C11C2611yescharacteristic
1147C2×D11—22no—
1148C2×D11—22no—
1149C2×D11—22no—
1150C2×D11—22no—
1151C2×D11—28no—
1152C2×D11—28no—
1153C2×D11—22no—
1154C2×D11—22no—
1155C2×D11—22no—
1156C2×D11—22no—
1157C2×D11—22no—
1158C2×D11—22no—
1159C2×D11—416no—
1160C2×D11—44no—
1161C2×D11—44no—
1162C2×D11—88no—
1163C2×D11C2×H(5,𝔽2)14yes—
1164C2×D11C2×2−1+414yes—
1165C4×C11—22no—
1166C4×C11—22no—
1167C4×C11—22no—
1168C4×C11—22no—
1169C4×C11—22no—
1170C4×C11—22no—
1171C4×C11—22no—
1172C4×C11—22no—
1173C4×C11—22no—
1174C4×C11—22no—
1175C4×C11—22no—
1176C4×C11—22no—
1177Dic11—22no—
1178Dic11—22no—
1179Dic11—22no—
1180Dic11—22no—
1181Dic11—22no—
1182Dic11—22no—
1183Dic11—22no—
1184Dic11—22no—
1185Dic11—22no—
1186Dic11—22no—
1187Dic11—22no—
1188Dic11—22no—
1189C25—111no—
1190C25—111no—
1191C2×#41—118no—
1192C2×#41—118no—
1193C2×#41—118no—
1194C2×#41—444no—
1195C2×#41—444no—
1196C2×#41—444no—
1197C22×Q8—118no—
1198C22×Q8—111no—
1199C22×Q8—111no—
1200C22×Q8—111no—
1201C22×Q8—111no—
1202C22×Q8—111no—
1203C22×Q8—111no—
1204C22×Q8—111no—
1205C22×Q8—111no—
1206C22×Q8—444no—
1207C22×Q8C22×D1111yescharacteristic
1208C22×D4—111no—
1209C22×D4—111no—
1210C22×D4—111no—
1211C22×D4—111no—
1212C22×D4—111no—
1213C22×D4—111no—
1214C22×D4—111no—
1215C22×D4—111no—
1216C22×D4—118no—
1217C22×D4—111no—
1218C22×D4—111no—
1219C22×D4—111no—
1220C22×D4—111no—
1221C22×D4—444no—
1222C22×D4C22×D1111yescharacteristic
1223C22×D4C22×D1111yescharacteristic
1224C22×D4C22×D1111yescharacteristic
1225C23×C4—111no—
1226C23×C4—111no—
1227C23×C4—111no—
1228C23×C4—111no—
1229C23×C4—111no—
1230C23×C4—111no—
1231C23×C4—111no—
1232C23×C4—111no—
1233C23×C4—111no—
1234C23×C4—111no—
1235C23×C4—111no—
1236C23×C4—111no—
1237C23×C4—111no—
1238C23×C4—111no—
1239C23×C4—111no—
1240C23×C4—111no—
1241C23×C4—111no—
1242C23×C4—111no—
1243C23×C4—118no—
1244C23×C4—444no—
1245C23×C4C22×D1111yescharacteristic
1246C23×C4C22×D1111yescharacteristic
1247C23×C4C22×D1111yescharacteristic
1248C23×C4C22×D1111yescharacteristic
1249C23×C4C22×D1111yescharacteristic
1250C4⋊Q8—118no—
1251C4⋊Q8—118no—
1252C4⋊Q8—118no—
1253C4⋊Q8—118no—
1254C4⋊Q8—118no—
1255C4⋊Q8—118no—
1256#126—118no—
1257#126—118no—
1258#126—118no—
1259#126—118no—
1260#126—118no—
1261#126—118no—
1262#126—118no—
1263#126—118no—
1264#126—118no—
1265#126—118no—
1266#126C22×D1118yescomplemented
1267#126C22×D1118yescomplemented
1268#125—118no—
1269#125—118no—
1270#125—118no—
1271#125—118no—
1272#125—118no—
1273#125—118no—
1274#125—118no—
1275#125—118no—
1276#125C22×D1118yescomplemented
1277#125C22×D1118yescomplemented
1278#124—118no—
1279#124—118no—
1280#124—118no—
1281#124—118no—
1282#124—118no—
1283#124—118no—
1284#124—118no—
1285#124—118no—
1286#123—118no—
1287#123—118no—
1288#123—118no—
1289#123—118no—
1290#123—118no—
1291#123—118no—
1292#123—118no—
1293#123—118no—
1294#123—118no—
1295#123—118no—
1296#123—118no—
1297#123—118no—
1298#123—118no—
1299#123—118no—
1300#123—118no—
1301#123—118no—
1302#123—118no—
1303#123—118no—
1304#123—118no—
1305#123—118no—
1306#123—118no—
1307#123—118no—
1308#123—118no—
1309#123—118no—
1310#123C22×D1118yes—
1311#123C22×D1118yes—
1312#123C22×D1118yescomplemented
1313#123C22×D1118yescomplemented
1314C22⋊Q8—118no—
1315C22⋊Q8—118no—
1316C22⋊Q8—118no—
1317C22⋊Q8—118no—
1318C22⋊Q8—118no—
1319C22⋊Q8—118no—
1320C22⋊Q8—118no—
1321C22⋊Q8—118no—
1322C22⋊Q8—118no—
1323C22⋊Q8—118no—
1324C22⋊Q8—118no—
1325C22⋊Q8—118no—
1326C22⋊Q8—118no—
1327C22⋊Q8—118no—
1328C22⋊Q8—118no—
1329C22⋊Q8—118no—
1330C22⋊Q8—118no—
1331C22⋊Q8—118no—
1332C22⋊Q8—118no—
1333C22⋊Q8—118no—
1334C22⋊Q8—118no—
1335C22⋊Q8—118no—
1336C22⋊Q8—118no—
1337C22⋊Q8—118no—
1338C22⋊Q8—118no—
1339C22⋊Q8—118no—
1340C22⋊Q8—118no—
1341C22⋊Q8—118no—
1342C22⋊Q8—118no—
1343C22⋊Q8—118no—
1344C22⋊Q8—118no—
1345C22⋊Q8C22×D1118yescomplemented
1346C22⋊Q8C22×D1118yescomplemented
1347C22⋊Q8C22×D1118yescomplemented
1348#121—118no—
1349#121—118no—
1350#121—118no—
1351#121—118no—
1352#121—118no—
1353#121—118no—
1354#121—118no—
1355#121—118no—
1356#121—118no—
1357#121C22×D1118yes—
1358#120—118no—
1359#120—118no—
1360#120—118no—
1361#120—118no—
1362C4×Q8—118no—
1363C4×Q8—118no—
1364C4×D4—118no—
1365C4×D4—118no—
1366C4×D4—118no—
1367C4×D4—118no—
1368C4×D4—118no—
1369C4×D4—118no—
1370C4×D4—118no—
1371C4×D4—118no—
1372C4×D4—118no—
1373C4×D4—118no—
1374C4×D4—118no—
1375C4×D4—118no—
1376C4×D4C22×D1118yescomplemented
1377C4×D4C22×D1118yescomplemented
1378#117—118no—
1379#117—118no—
1380#117—118no—
1381#117—118no—
1382#117—118no—
1383#117—118no—
1384#117—118no—
1385C2×C4⋊C4—111no—
1386C2×C4⋊C4—111no—
1387C2×C4⋊C4—111no—
1388C2×C4⋊C4—111no—
1389C2×C4⋊C4—111no—
1390C2×C4⋊C4—111no—
1391C2×C4⋊C4—111no—
1392C2×C4⋊C4—111no—
1393C2×C4⋊C4—111no—
1394C2×C4⋊C4—111no—
1395C2×C4⋊C4—111no—
1396C2×C4⋊C4—111no—
1397C2×C4⋊C4—111no—
1398C2×C4⋊C4—111no—
1399C2×C4⋊C4—111no—
1400C2×C4⋊C4—111no—
1401C2×C4⋊C4—111no—
1402C2×C4⋊C4—111no—
1403C2×C4⋊C4—111no—
1404C2×C4⋊C4—111no—
1405C2×C4⋊C4—111no—
1406C2×C4⋊C4—111no—
1407C2×C4⋊C4—111no—
1408C2×C4⋊C4—111no—
1409C2×C4⋊C4—111no—
1410C2×C4⋊C4—111no—
1411C2×C4⋊C4—111no—
1412C2×C4⋊C4—111no—
1413C2×C4⋊C4—111no—
1414C2×C4⋊C4—111no—
1415C2×C4⋊C4—111no—
1416C2×C4⋊C4—111no—
1417C2×C4⋊C4—111no—
1418C2×C4⋊C4—111no—
1419C2×C4⋊C4—111no—
1420C2×C4⋊C4—111no—
1421C2×C4⋊C4—118no—
1422C2×C4⋊C4—118no—
1423C2×C4⋊C4—118no—
1424C2×C4⋊C4—118no—
1425C2×C4⋊C4—118no—
1426C2×C4⋊C4—118no—
1427C2×C4⋊C4C22×D1111yescharacteristic
1428C2×C4⋊C4C22×D1111yescharacteristic
1429C2×C4⋊C4C22×D1111yescharacteristic
1430C2×C4⋊C4C22×D1111yescharacteristic
1431C2×C4⋊C4C22×D1111yescharacteristic
1432C2×C4⋊C4C22×D1111yescharacteristic
1433C2×C4⋊C4C22×D1111yescharacteristic
1434C2×C4⋊C4C22×D1111yescharacteristic
1435C2×C4⋊C4C22×D1111yescharacteristic
1436C2×C4⋊C4C22×D1111yescharacteristic
1437C2×C4⋊C4C22×D1111yescharacteristic
1438C2×C4⋊C4C22×D1111yescharacteristic
1439C2×C4⋊C4C22×D1111yescharacteristic
1440C2×C4⋊C4C22×D1111yescharacteristic
1441C2×C4⋊C4C22×D1118yescomplemented
1442C2×C22⋊C4—111no—
1443C2×C22⋊C4—111no—
1444C2×C22⋊C4—111no—
1445C2×C22⋊C4—111no—
1446C2×C22⋊C4—111no—
1447C2×C22⋊C4—111no—
1448C2×C22⋊C4—111no—
1449C2×C22⋊C4—111no—
1450C2×C22⋊C4—111no—
1451C2×C22⋊C4—111no—
1452C2×C22⋊C4—111no—
1453C2×C22⋊C4—111no—
1454C2×C22⋊C4—111no—
1455C2×C22⋊C4—111no—
1456C2×C22⋊C4—111no—
1457C2×C22⋊C4—111no—
1458C2×C22⋊C4—111no—
1459C2×C22⋊C4—111no—
1460C2×C22⋊C4—111no—
1461C2×C22⋊C4—111no—
1462C2×C22⋊C4—111no—
1463C2×C22⋊C4—111no—
1464C2×C22⋊C4—111no—
1465C2×C22⋊C4—111no—
1466C2×C22⋊C4—111no—
1467C2×C22⋊C4—111no—
1468C2×C22⋊C4—118no—
1469C2×C22⋊C4—111no—
1470C2×C22⋊C4—111no—
1471C2×C22⋊C4—111no—
1472C2×C22⋊C4—111no—
1473C2×C22⋊C4—111no—
1474C2×C22⋊C4—111no—
1475C2×C22⋊C4—111no—
1476C2×C22⋊C4—111no—
1477C2×C22⋊C4—111no—
1478C2×C22⋊C4—111no—
1479C2×C22⋊C4—118no—
1480C2×C22⋊C4—118no—
1481C2×C22⋊C4—118no—
1482C2×C22⋊C4—118no—
1483C2×C22⋊C4—118no—
1484C2×C22⋊C4—118no—
1485C2×C22⋊C4C22×D1111yescharacteristic
1486C2×C22⋊C4C22×D1111yescharacteristic
1487C2×C22⋊C4C22×D1111yescharacteristic
1488C2×C22⋊C4C22×D1111yescharacteristic
1489C2×C22⋊C4C22×D1111yescharacteristic
1490C2×C22⋊C4C22×D1111yescharacteristic
1491C2×C22⋊C4C22×D1111yescharacteristic
1492C2×C22⋊C4C22×D1111yescharacteristic
1493C2×C22⋊C4C22×D1111yescharacteristic
1494C2×C22⋊C4C22×D1111yescharacteristic
1495C2×C42—111no—
1496C2×C42—111no—
1497C2×C42—111no—
1498C2×C42—111no—
1499C2×C42—111no—
1500C2×C42—111no—
1501C2×C42—111no—
1502C2×C42—111no—
1503C2×C42C22×D1111yescharacteristic
1504C2×C42C22×D1111yescharacteristic
1505C2×C11—42no—
1506C2×C11—42no—
1507C2×C11—42no—
1508C2×C11#353514yescomplemented
1509C2×C11C22×H(5,𝔽2)11yescharacteristic
1510C2×C11C22×2−1+411yescharacteristic
1511C2×C11C2×#58511yescharacteristic
1512D11—24no—
1513D11—24no—
1514D11—42no—
1515D11—42no—
1516C24—111no—
1517C24—111no—
1518C24—111no—
1519C24—111no—
1520C24—114no—
1521C24—114no—
1522C24—224no—
1523C24—224no—
1524C24—224no—
1525C24—442no—
1526C24—442no—
1527C24—442no—
1528C24C23×D1111yescharacteristic
1529C24C23×D1111yescharacteristic
1530C24C23×D1111yescharacteristic
1531#41—4416no—
1532#41—4416no—
1533#41—4416no—
1534C2×Q8—42no—
1535C2×Q8—114no—
1536C2×Q8—114no—
1537C2×Q8—114no—
1538C2×Q8—114no—
1539C2×Q8—114no—
1540C2×Q8—114no—
1541C2×Q8—114no—
1542C2×Q8—114no—
1543C2×Q8—442no—
1544C2×Q8—442no—
1545C2×Q8—442no—
1546C2×Q8—442no—
1547C2×Q8—442no—
1548C2×Q8—442no—
1549C2×Q8—442no—
1550C2×Q8—442no—
1551C2×Q8—4416no—
1552C2×Q8C23×D1114yes—
1553C2×D4—42no—
1554C2×D4—42no—
1555C2×D4—42no—
1556C2×D4—114no—
1557C2×D4—114no—
1558C2×D4—114no—
1559C2×D4—114no—
1560C2×D4—114no—
1561C2×D4—114no—
1562C2×D4—114no—
1563C2×D4—114no—
1564C2×D4—114no—
1565C2×D4—114no—
1566C2×D4—114no—
1567C2×D4—114no—
1568C2×D4—224no—
1569C2×D4—224no—
1570C2×D4—224no—
1571C2×D4—224no—
1572C2×D4—224no—
1573C2×D4—224no—
1574C2×D4—442no—
1575C2×D4—442no—
1576C2×D4—442no—
1577C2×D4—442no—
1578C2×D4—442no—
1579C2×D4—442no—
1580C2×D4—4416no—
1581C2×D4C23×D1114yes—
1582C2×D4C23×D1114yes—
1583C2×D4C23×D1114yes—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—111no—
1590C22×C4—111no—
1591C22×C4—111no—
1592C22×C4—111no—
1593C22×C4—111no—
1594C22×C4—111no—
1595C22×C4—111no—
1596C22×C4—111no—
1597C22×C4—111no—
1598C22×C4—111no—
1599C22×C4—111no—
1600C22×C4—111no—
1601C22×C4—114no—
1602C22×C4—114no—
1603C22×C4—114no—
1604C22×C4—114no—
1605C22×C4—114no—
1606C22×C4—114no—
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—224no—
1620C22×C4—224no—
1621C22×C4—224no—
1622C22×C4—224no—
1623C22×C4—224no—
1624C22×C4—442no—
1625C22×C4—442no—
1626C22×C4—442no—
1627C22×C4—442no—
1628C22×C4—442no—
1629C22×C4—442no—
1630C22×C4—442no—
1631C22×C4—442no—
1632C22×C4—442no—
1633C22×C4—442no—
1634C22×C4—442no—
1635C22×C4—4416no—
1636C22×C4—442no—
1637C22×C4—442no—
1638C22×C4C23×D1111yescharacteristic
1639C22×C4C23×D1111yescharacteristic
1640C22×C4C23×D1111yescharacteristic
1641C22×C4C23×D1111yescharacteristic
1642C22×C4C23×D1111yescharacteristic
1643C22×C4C23×D1111yescharacteristic
1644C22×C4C23×D1111yescharacteristic
1645C22×C4C23×D1111yescharacteristic
1646C22×C4C23×D1111yescharacteristic
1647C22×C4C23×D1111yescharacteristic
1648C22×C4C23×D1111yescharacteristic
1649C22×C4C23×D1111yescharacteristic
1650C22×C4C23×D1114yes—
1651C22×C4C23×D1114yes—
1652C22×C4C23×D1114yes—
1653C22×C4C23×D1114yes—
1654C22×C4C23×D1114yes—
1655C4⋊C4—114no—
1656C4⋊C4—114no—
1657C4⋊C4—114no—
1658C4⋊C4—114no—
1659C4⋊C4—114no—
1660C4⋊C4—114no—
1661C4⋊C4—114no—
1662C4⋊C4—114no—
1663C4⋊C4—114no—
1664C4⋊C4—114no—
1665C4⋊C4—114no—
1666C4⋊C4—114no—
1667C4⋊C4—114no—
1668C4⋊C4—114no—
1669C4⋊C4—114no—
1670C4⋊C4—114no—
1671C4⋊C4—114no—
1672C4⋊C4—114no—
1673C4⋊C4—114no—
1674C4⋊C4—114no—
1675C4⋊C4—114no—
1676C4⋊C4—114no—
1677C4⋊C4—114no—
1678C4⋊C4—114no—
1679C4⋊C4—114no—
1680C4⋊C4—114no—
1681C4⋊C4—114no—
1682C4⋊C4—114no—
1683C4⋊C4—114no—
1684C4⋊C4—114no—
1685C4⋊C4—114no—
1686C4⋊C4—114no—
1687C4⋊C4—114no—
1688C4⋊C4—114no—
1689C4⋊C4—114no—
1690C4⋊C4—114no—
1691C4⋊C4C23×D1114yes—
1692C4⋊C4C23×D1114yes—
1693C4⋊C4C23×D1114yes—
1694C4⋊C4C23×D1114yes—
1695C4⋊C4C23×D1114yes—
1696C4⋊C4C23×D1114yes—
1697C4⋊C4C23×D1114yes—
1698C4⋊C4C23×D1114yes—
1699C4⋊C4C23×D1114yes—
1700C4⋊C4C23×D1114yes—
1701C4⋊C4C23×D1114yes—
1702C4⋊C4C23×D1114yes—
1703C4⋊C4C23×D1114yes—
1704C4⋊C4C23×D1114yes—
1705C22⋊C4—114no—
1706C22⋊C4—114no—
1707C22⋊C4—114no—
1708C22⋊C4—114no—
1709C22⋊C4—114no—
1710C22⋊C4—114no—
1711C22⋊C4—114no—
1712C22⋊C4—114no—
1713C22⋊C4—114no—
1714C22⋊C4—114no—
1715C22⋊C4—114no—
1716C22⋊C4—114no—
1717C22⋊C4—114no—
1718C22⋊C4—114no—
1719C22⋊C4—114no—
1720C22⋊C4—114no—
1721C22⋊C4—114no—
1722C22⋊C4—114no—
1723C22⋊C4—114no—
1724C22⋊C4—114no—
1725C22⋊C4—114no—
1726C22⋊C4—114no—
1727C22⋊C4—114no—
1728C22⋊C4—114no—
1729C22⋊C4—114no—
1730C22⋊C4—114no—
1731C22⋊C4—114no—
1732C22⋊C4—114no—
1733C22⋊C4—114no—
1734C22⋊C4—114no—
1735C22⋊C4—114no—
1736C22⋊C4—114no—
1737C22⋊C4—114no—
1738C22⋊C4—114no—
1739C22⋊C4—114no—
1740C22⋊C4—114no—
1741C22⋊C4C23×D1114yes—
1742C22⋊C4C23×D1114yes—
1743C22⋊C4C23×D1114yes—
1744C22⋊C4C23×D1114yes—
1745C22⋊C4C23×D1114yes—
1746C22⋊C4C23×D1114yes—
1747C22⋊C4C23×D1114yes—
1748C22⋊C4C23×D1114yes—
1749C22⋊C4C23×D1114yes—
1750C22⋊C4C23×D1114yes—
1751C42—114no—
1752C42—114no—
1753C42—114no—
1754C42—114no—
1755C42—114no—
1756C42—114no—
1757C42—114no—
1758C42—114no—
1759C42C23×D1114yes—
1760C42C23×D1114yes—
1761C11C2×#353511yescharacteristic, complemented, Sylow
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—22no—
1771C23—114no—
1772C23—114no—
1773C23—112no—
1774C23—112no—
1775C23—112no—
1776C23—112no—
1777C23—228no—
1778C23—228no—
1779C23—228no—
1780C23—222no—
1781C23—222no—
1782C23—222no—
1783C23—222no—
1784C23—222no—
1785C23—222no—
1786C23—222no—
1787C23—222no—
1788C23—222no—
1789C23—222no—
1790C23—444no—
1791C23—444no—
1792C23—444no—
1793C23—4416no—
1794C23—888no—
1795C23C24×D1112yes—
1796C23C24×D1112yes—
1797C23C24×D1112yes—
1798C23C24×D1111yescharacteristic
1799Q8—44no—
1800Q8—444no—
1801Q8—444no—
1802Q8—444no—
1803Q8—444no—
1804Q8—444no—
1805Q8—444no—
1806Q8—444no—
1807Q8—444no—
1808D4—44no—
1809D4—44no—
1810D4—44no—
1811D4—228no—
1812D4—228no—
1813D4—228no—
1814D4—228no—
1815D4—228no—
1816D4—228no—
1817D4—444no—
1818D4—444no—
1819D4—444no—
1820D4—444no—
1821D4—444no—
1822D4—444no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—112no—
1841C2×C4—112no—
1842C2×C4—112no—
1843C2×C4—112no—
1844C2×C4—112no—
1845C2×C4—112no—
1846C2×C4—112no—
1847C2×C4—112no—
1848C2×C4—112no—
1849C2×C4—112no—
1850C2×C4—112no—
1851C2×C4—112no—
1852C2×C4—228no—
1853C2×C4—228no—
1854C2×C4—228no—
1855C2×C4—228no—
1856C2×C4—228no—
1857C2×C4—222no—
1858C2×C4—222no—
1859C2×C4—222no—
1860C2×C4—222no—
1861C2×C4—222no—
1862C2×C4—222no—
1863C2×C4—222no—
1864C2×C4—222no—
1865C2×C4—222no—
1866C2×C4—222no—
1867C2×C4—222no—
1868C2×C4—222no—
1869C2×C4—444no—
1870C2×C4—444no—
1871C2×C4—444no—
1872C2×C4—444no—
1873C2×C4—444no—
1874C2×C4—444no—
1875C2×C4—444no—
1876C2×C4—444no—
1877C2×C4—444no—
1878C2×C4—444no—
1879C2×C4—444no—
1880C2×C4—444no—
1881C2×C4—444no—
1882C2×C4C24×D1112yes—
1883C2×C4C24×D1112yes—
1884C2×C4C24×D1112yes—
1885C2×C4C24×D1112yes—
1886C2×C4C24×D1112yes—
1887C2×C4C24×D1112yes—
1888C2×C4C24×D1112yes—
1889C2×C4C24×D1112yes—
1890C2×C4C24×D1112yes—
1891C2×C4C24×D1112yes—
1892C2×C4C24×D1112yes—
1893C2×C4C24×D1112yes—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—44no—
1904C22—44no—
1905C22—44no—
1906C22—114no—
1907C22—114no—
1908C22—222no—
1909C22—222no—
1910C22—222no—
1911C22—222no—
1912C22—228no—
1913C22—228no—
1914C22—222no—
1915C22—222no—
1916C22—222no—
1917C22—222no—
1918C22—222no—
1919C22—222no—
1920C22—4416no—
1921C22—444no—
1922C22—444no—
1923C22—888no—
1924C22#1062345312yes—
1925C22D11×H(5,𝔽2)12yes—
1926C22D11×2−1+412yes—
1927C22C25×D1111yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—22no—
1940C4—222no—
1941C4—222no—
1942C4—222no—
1943C4—222no—
1944C4—222no—
1945C4—222no—
1946C4—222no—
1947C4—222no—
1948C4—222no—
1949C4—222no—
1950C4—222no—
1951C4—222no—
1952C2—42no—
1953C2—42no—
1954C2—42no—
1955C2—224no—
1956C2—224no—
1957C2—442no—
1958C2—442no—
1959C2#1308282414yesdirect product factor
1960C2C2×D11×H(5,𝔽2)11yescharacteristic
1961C2C2×D11×2−1+411yescharacteristic
1962C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#539C2
socleC23×C11C25
hypercenterC2×#539D11
hypocenterC11C2×#3535
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #13082824C2direct (N × H)
2. C2×#10623182C2semidirect
3. C2×#10623243C2semidirect
4. C2×#10623198C2semidirect
5. C2×#10623152C2semidirect
6. C2×#10623221C2semidirect
7. C2×#10623042C2semidirect
8. C2×#10623239C2semidirect
9. C2×#10623224C2semidirect
10. C2×#10623087C2semidirect
11. C2×#10623190C2semidirect
12. C2×#10623236C2semidirect
13. C2×#10623236C2semidirect
14. C2×#10623082C2semidirect
15. C2×#10623038C2semidirect
16. C2×#10623143C2semidirect
17. C2×#10623185C2semidirect
18. C2×#10623220C2semidirect
19. C2×#10623165C2semidirect
20. C2×#10623193C2semidirect
21. C2×#10623092C2semidirect
22. C2×#10623223C2semidirect
23. C2×#10623169C2semidirect
24. C2×#10623169C2semidirect
25. C2×#10623191C2semidirect
26. C2×#10623188C2semidirect
27. C2×#10623159C2semidirect
28. C2×#10623159C2semidirect
29. C2×#10623078C2semidirect
30. C2×D11×#123C2semidirect
31. C2×D11×C22⋊Q8C2semidirect
32. C2×C11×#539C2semidirect
33. C22×Q8×D11C22semidirect
37. C22×#4339C22semidirect
39. C11×#539C22semidirect
40. C2×C11×#126C22semidirect
41. C2×C11×#126C22semidirect
42. C2×C11×#125C22semidirect
43. C2×C11×#125C22semidirect
46. C2×C11×#123C22semidirect
47. C2×C11×#123C22semidirect
48. C2×C11×C22⋊Q8C22semidirect
49. C2×C11×C22⋊Q8C22semidirect
50. C2×C11×C22⋊Q8C22semidirect
52. C2×C4×D4×C11C22semidirect
53. C2×C4×D4×C11C22semidirect
54. C22×C11×C4⋊C4C22semidirect
56. C2×#66999C22semidirect
57. C2×#66999C22semidirect
59. C2×#66992C22semidirect
62. C2×#66991C22semidirect
66. C2×#66989C22semidirect
68. C2×#66988C22semidirect
69. C2×#66983C22semidirect
71. C2×#66982C22semidirect
72. C2×#66982C22semidirect
76. C2×C4×C22⋊D11C22semidirect
77. C2×C4×C22⋊D11C22semidirect
79. C2×#66977C22semidirect
80. C2×#66977C22semidirect
81. C2×#66977C22semidirect
82. C2×#66977C22semidirect
83. C2×#66977C22semidirect
84. C2×#66977C22semidirect
85. #10623243C22semidirect
86. #10623239C22semidirect
87. #10623236C22semidirect
88. #10623236C22semidirect
89. #10623224C22semidirect
90. #10623223C22semidirect
91. #10623221C22semidirect
92. #10623220C22semidirect
93. #10623198C22semidirect
94. #10623193C22semidirect
95. #10623191C22semidirect
96. #10623190C22semidirect
97. #10623188C22semidirect
98. #10623185C22semidirect
99. D11×#123C22semidirect
100. #10623182C22semidirect
101. #10623169C22semidirect
102. #10623169C22semidirect
103. #10623165C22semidirect
104. #10623159C22semidirect
105. #10623159C22semidirect
106. D11×C22⋊Q8C22semidirect
107. #10623152C22semidirect
108. #10623143C22semidirect
109. #10623092C22semidirect
110. #10623087C22semidirect
111. #10623082C22semidirect
112. #10623078C22semidirect
113. C2×#66951C22semidirect
114. C2×#66951C22semidirect
115. C2×#66951C22semidirect
116. #10623042C22semidirect
120. C2×#66950C22semidirect
121. C2×#66950C22semidirect
122. C2×#66950C22semidirect
128. C2×#66949C22semidirect
129. C2×#66949C22semidirect
130. C2×#66949C22semidirect
131. C2×#66949C22semidirect
132. C2×#66949C22semidirect
133. C2×#66949C22semidirect
134. #10623038C22semidirect
140. C2×#66947C22semidirect
141. C2×#66947C22semidirect
142. C2×#66947C22semidirect
143. C2×#66947C22semidirect
147. C2×#66946C22semidirect
149. C2×#66945C22semidirect
150. C2×#66945C22semidirect
153. C2×C4⋊C4×D11C22semidirect
154. C2×C4⋊C4×D11C22semidirect
155. C2×C4⋊C4×D11C22semidirect
156. C2×C4⋊C4×D11C22semidirect
157. C2×#66943C22semidirect
158. C2×#66943C22semidirect
159. C2×#66942C22semidirect
160. C2×#66942C22semidirect
161. C2×#66942C22semidirect
162. C2×#66942C22semidirect
163. C2×#66942C22semidirect
164. C2×#66942C22semidirect
165. C2×#66941C22semidirect
166. C2×#66941C22semidirect
167. C2×#66941C22semidirect
168. C2×#66941C22semidirect
169. C2×#66941C22semidirect
170. C2×#66940C22semidirect
173. C2×#66938C22semidirect
174. C2×#66938C22semidirect
175. C2×#66938C22semidirect
176. C2×#66938C22semidirect
177. C2×#66938C22semidirect
185. C2×#66936C22semidirect
186. C2×#66936C22semidirect
187. C2×#66936C22semidirect
188. C2×#66936C22semidirect
189. C2×#66936C22semidirect
199. C2×#66932C22semidirect
200. C2×#66932C22semidirect
201. C2×#66932C22semidirect
202. C2×#66932C22semidirect
203. C2×#66932C22semidirect
204. C2×#66932C22semidirect
205. C2×#66931C22semidirect
206. C2×#66931C22semidirect
207. C2×#66931C22semidirect
208. C2×#66931C22semidirect
209. C2×#66931C22semidirect
210. C2×#66930C22semidirect
211. C2×#66929C22semidirect
213. C2×C4×D44C22semidirect
215. C2×#66925C22semidirect
216. C2×#66925C22semidirect
217. C2×#66922C22semidirect
218. C2×C4×Dic22C22semidirect
241. C2×Q8×D11C23semidirect
249. C2×#4339C23semidirect
280. C11×#126C23semidirect
281. C11×#126C23semidirect
282. C11×#125C23semidirect
283. C11×#125C23semidirect
286. C11×#123C23semidirect
287. C11×#123C23semidirect
288. C11×C22⋊Q8C23semidirect
289. C11×C22⋊Q8C23semidirect
290. C11×C22⋊Q8C23semidirect
292. C4×D4×C11C23semidirect
293. C4×D4×C11C23semidirect
308. C2×C11×C4⋊C4C23semidirect
334. #66999C23semidirect
335. #66999C23semidirect
337. #66992C23semidirect
340. #66991C23semidirect
344. #66989C23semidirect
346. #66988C23semidirect
347. #66983C23semidirect
349. #66982C23semidirect
350. #66982C23semidirect
354. C4×C22⋊D11C23semidirect
355. C4×C22⋊D11C23semidirect
393. #66977C23semidirect
394. #66977C23semidirect
395. #66977C23semidirect
396. #66977C23semidirect
397. #66977C23semidirect
398. #66977C23semidirect
431. #66951C23semidirect
432. #66951C23semidirect
433. #66951C23semidirect
437. #66950C23semidirect
438. #66950C23semidirect
439. #66950C23semidirect
445. #66949C23semidirect
446. #66949C23semidirect
447. #66949C23semidirect
448. #66949C23semidirect
449. #66949C23semidirect
450. #66949C23semidirect
456. #66947C23semidirect
457. #66947C23semidirect
458. #66947C23semidirect
459. #66947C23semidirect
463. #66946C23semidirect
465. #66945C23semidirect
466. #66945C23semidirect
469. C4⋊C4×D11C23semidirect
470. C4⋊C4×D11C23semidirect
471. C4⋊C4×D11C23semidirect
472. C4⋊C4×D11C23semidirect
473. #66943C23semidirect
474. #66943C23semidirect
475. #66942C23semidirect
476. #66942C23semidirect
477. #66942C23semidirect
478. #66942C23semidirect
479. #66942C23semidirect
480. #66942C23semidirect
481. #66941C23semidirect
482. #66941C23semidirect
483. #66941C23semidirect
484. #66941C23semidirect
485. #66941C23semidirect
486. #66940C23semidirect
489. #66938C23semidirect
490. #66938C23semidirect
491. #66938C23semidirect
492. #66938C23semidirect
493. #66938C23semidirect
501. #66936C23semidirect
502. #66936C23semidirect
503. #66936C23semidirect
504. #66936C23semidirect
505. #66936C23semidirect
515. #66932C23semidirect
516. #66932C23semidirect
517. #66932C23semidirect
518. #66932C23semidirect
519. #66932C23semidirect
520. #66932C23semidirect
521. #66931C23semidirect
522. #66931C23semidirect
523. #66931C23semidirect
524. #66931C23semidirect
525. #66931C23semidirect
526. #66930C23semidirect
527. #66929C23semidirect
529. C4×D44C23semidirect
531. #66925C23semidirect
532. #66925C23semidirect
533. #66922C23semidirect
534. C4×Dic22C23semidirect
806. C2×#539D11semidirect
975. #539C2×D11semidirect
995. C2×#126C2×D11semidirect
996. C2×#126C2×D11semidirect
1005. C2×#125C2×D11semidirect
1006. C2×#125C2×D11semidirect
1043. C2×#123C2×D11semidirect
1044. C2×#123C2×D11semidirect
1077. C2×C22⋊Q8C2×D11semidirect
1078. C2×C22⋊Q8C2×D11semidirect
1079. C2×C22⋊Q8C2×D11semidirect
1108. C2×C4×D4C2×D11semidirect
1109. C2×C4×D4C2×D11semidirect
1123. C22×C4⋊C4C2×D11semidirect
1266. #126C22×D11semidirect
1267. #126C22×D11semidirect
1276. #125C22×D11semidirect
1277. #125C22×D11semidirect
1312. #123C22×D11semidirect
1313. #123C22×D11semidirect
1345. C22⋊Q8C22×D11semidirect
1346. C22⋊Q8C22×D11semidirect
1347. C22⋊Q8C22×D11semidirect
1376. C4×D4C22×D11semidirect
1377. C4×D4C22×D11semidirect
1441. C2×C4⋊C4C22×D11semidirect
1508. C2×C11#3535semidirect
1761. C11C2×#3535semidirect
1959. C2#13082824direct (N × H)

Maximal subgroups

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

subgroupindex
#130828242
C2×#106231822
C2×#106232432
C2×#106231982
C2×#106231522
C2×#106232212
C2×#106230422
C2×#106232392
C2×#106232242
C2×#106230872
C2×#106231902
C2×#106232362
C2×#106230822
C2×#106230382
C2×#106231432
C2×#106231852
C2×#106232202
C2×#106231652
C2×#106231932
C2×#106230922
C2×#106232232
C2×#106231692
C2×#106231912
C2×#106231882
C2×#106231592
C2×#106230782
C2×D11×#1232
C2×D11×C22⋊Q82
C2×C11×#5392
C2×#353511