Finite Group Databasebeta

← C2×#13082449 #15661698

Subgroups — C2×#13082449 #15661698

Order 2816.

8082 conjugacy classes of subgroups.

The subgroup lattice has 2064 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082449C2132yesmaximal, direct product factor
2C2×#10623071C211yesmaximal, characteristic, complemented
3C2×#10623071C211yesmaximal, characteristic, complemented
4C2×#10623045C211yesmaximal, characteristic, complemented
5C2×#10623132C211yesmaximal, characteristic, complemented
6C2×#10623132C211yesmaximal, characteristic, complemented
7C2×#10623239C211yesmaximal, characteristic, complemented
8C2×#10623224C211yesmaximal, characteristic, complemented
9C2×#10623087C211yesmaximal, characteristic, complemented
10C2×#10623190C211yesmaximal, characteristic, complemented
11C2×#10623236C211yesmaximal, characteristic, complemented
12C2×#10623058C211yesmaximal, characteristic, complemented
13C2×#10623083C211yesmaximal, characteristic, complemented
14C2×#10623129C211yesmaximal, characteristic, complemented
15C2×#10623185C211yesmaximal, characteristic, complemented
16C2×#10623141C211yesmaximal, characteristic, complemented
17C2×#10623223C211yesmaximal, characteristic, complemented
18C2×#10623191C211yesmaximal, characteristic, complemented
19C2×#10623235C211yesmaximal, characteristic, complemented
20C2×#10623144C211yesmaximal, characteristic, complemented
21C2×#10623136C211yesmaximal, characteristic, complemented
22C2×#10623136C211yesmaximal, characteristic, complemented
23C2×#10623237C211yesmaximal, characteristic, complemented
24C2×#10623059C211yesmaximal, characteristic, complemented
25C2×#10623078C211yesmaximal, characteristic, complemented
26C2×#10623187C211yesmaximal, characteristic, complemented
27C22×#66949C211yesmaximal, characteristic, complemented
28C2×D11×#121C211yesmaximal, characteristic, complemented
29C2×#10623076C211yesmaximal, characteristic, complemented
30C2×#10623076C211yesmaximal, characteristic, complemented
31C2×C4×D4×D11C211yesmaximal, characteristic, complemented
32C2×C11×#553C211yesmaximal, characteristic, complemented
33C22×#4341C2211yescharacteristic, complemented
34C22×D4×D11C2211yescharacteristic
35C22×D4×D11C2211yescharacteristic
36C22×D4×D11C2211yescharacteristic
37C22×D4×D11C2211yescharacteristic, complemented
38C22×#4339C2211yescharacteristic, complemented
39C23×C4×D11C2211yescharacteristic
40C23×C4×D11C2211yescharacteristic, complemented
41C23×Dic22C2211yescharacteristic, complemented
42C11×#553C22116yescomplemented
43C2×C11×#126C2211yescharacteristic, complemented
44C2×C11×#126C2211yescharacteristic, complemented
45C2×C11×#125C2211yescharacteristic, complemented
46C2×C11×#123C2211yescharacteristic, complemented
47C2×C11×#123C2211yescharacteristic, complemented
48C2×C11×#121C2211yescharacteristic, complemented
49C2×C11×#121C2211yescharacteristic, complemented
50C2×C11×#121C2211yescharacteristic, complemented
51C2×C11×#121C2211yescharacteristic, complemented
52C2×C4×D4×C11C2211yescharacteristic, complemented
53C2×C4×D4×C11C2211yescharacteristic, complemented
54C2×C4×D4×C11C2211yescharacteristic, complemented
55C2×C4×D4×C11C2211yescharacteristic, complemented
56C2×C11×#117C2211yescharacteristic, complemented
57C22×C11×C4⋊C4C2211yescharacteristic, complemented
58C2×#66992C2211yescharacteristic, complemented
59C2×#66992C2211yescharacteristic, complemented
60C2×#66992C2211yescharacteristic, complemented
61C2×#66992C2211yescharacteristic, complemented
62C2×#66992C2211yescharacteristic, complemented
63C2×#66992C2211yescharacteristic, complemented
64C2×#66992C2211yescharacteristic, complemented
65C2×#66992C2211yescharacteristic, complemented
66C2×#66991C2211yescharacteristic
67C2×#66990C2211yescharacteristic
68C2×#66990C2211yescharacteristic
69C2×#66990C2211yescharacteristic, complemented
70C2×#66990C2211yescharacteristic, complemented
71C2×#66989C2211yescharacteristic, complemented
72C2×#66988C2211yescharacteristic, complemented
73C2×#66988C2211yescharacteristic, complemented
74C2×D4×Dic11C2211yescharacteristic, complemented
75C2×D4×Dic11C2211yescharacteristic, complemented
76C2×D4×Dic11C2211yescharacteristic, complemented
77C2×#66983C2211yescharacteristic, complemented
78C2×#66983C2211yescharacteristic, complemented
79C2×#66983C2211yescharacteristic, complemented
80C2×#66982C2211yescharacteristic, complemented
81C2×#66982C2211yescharacteristic, complemented
82C2×C4×C22⋊D11C2211yescharacteristic
83C2×C4×C22⋊D11C2211yescharacteristic, complemented
84C2×C4×C22⋊D11C2211yescharacteristic, complemented
85C2×C4×C22⋊D11C2211yescharacteristic, complemented
86C2×C4×C22⋊D11C2211yescharacteristic, complemented
87C2×C4×C22⋊D11C2211yescharacteristic, complemented
88C2×C4×C22⋊D11C2211yescharacteristic, complemented
89C2×C4×C22⋊D11C2211yescharacteristic, complemented
90C22×(C2×D11)⋊C4C2211yescharacteristic
91C22×(C2×D11)⋊C4C2211yescharacteristic
92C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
93C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
94C2×#66977C2211yescharacteristic, complemented
95C22×Dic11⋊C4C2211yescharacteristic, complemented
96C22×Dic11⋊C4C2211yescharacteristic, complemented
97#10623239C22116yescomplemented
98#10623237C22116yescomplemented
99#10623236C22116yescomplemented
100#10623235C22116yescomplemented
101#10623224C22116yescomplemented
102#10623223C22116yescomplemented
103#10623191C22116yescomplemented
104#10623190C22116yescomplemented
105#10623187C22116yescomplemented
106#10623185C22116yescomplemented
107#10623144C22116yescomplemented
108#10623141C22116yescomplemented
109#10623136C22116yescomplemented
110#10623136C22116yescomplemented
111D11×#121C22116yescomplemented
112#10623132C22116yescomplemented
113#10623132C22116yescomplemented
114#10623129C22116yescomplemented
115#10623087C22116yescomplemented
116#10623083C22116yescomplemented
117#10623078C22116yescomplemented
118#10623076C22116yescomplemented
119#10623076C22116yescomplemented
120C4×D4×D11C22116yescomplemented
121#10623071C22116yescomplemented
122#10623071C22116yescomplemented
123#10623059C22116yescomplemented
124#10623058C22116yescomplemented
125#10623045C22116yescomplemented
126C2×#66951C2211yescharacteristic, complemented
127C2×#66951C2211yescharacteristic, complemented
128C2×#66951C2211yescharacteristic, complemented
129C2×#66951C2211yescharacteristic, complemented
130C2×#66950C2211yescharacteristic, complemented
131C2×#66949C2211yescharacteristic, complemented
132C2×#66949C2211yescharacteristic, complemented
133C2×#66949C2211yescharacteristic, complemented
134C2×#66949C2211yescharacteristic, complemented
135C2×#66949C2211yescharacteristic, complemented
136C2×#66949C2211yescharacteristic, complemented
137C2×#66949C2211yescharacteristic, complemented
138C2×#66949C2211yescharacteristic, complemented
139C2×#66949C2211yescharacteristic, complemented
140C2×#66949C2211yescharacteristic, complemented
141C2×#66949C22116yescomplemented
142C2×#66948C2211yescharacteristic
143C2×#66948C2211yescharacteristic, complemented
144C2×#66947C2211yescharacteristic
145C2×#66947C2211yescharacteristic
146C2×#66947C2211yescharacteristic, complemented
147C2×#66947C2211yescharacteristic, complemented
148C2×#66947C2211yescharacteristic, complemented
149C2×#66947C2211yescharacteristic, complemented
150C2×#66947C2211yescharacteristic, complemented
151C2×#66947C2211yescharacteristic, complemented
152C2×#66946C2211yescharacteristic
153C2×#66946C2211yescharacteristic, complemented
154C2×#66946C2211yescharacteristic, complemented
155C2×#66946C2211yescharacteristic, complemented
156C2×#66945C2211yescharacteristic, complemented
157C2×#66945C2211yescharacteristic, complemented
158C2×#66945C2211yescharacteristic, complemented
159C2×C4⋊C4×D11C2211yescharacteristic, complemented
160C2×C4⋊C4×D11C2211yescharacteristic, complemented
161C2×#66943C2211yescharacteristic, complemented
162C2×#66942C2211yescharacteristic, complemented
163C2×#66942C2211yescharacteristic, complemented
164C2×#66942C2211yescharacteristic, complemented
165C2×#66942C2211yescharacteristic, complemented
166C2×#66940C2211yescharacteristic, complemented
167C2×#66938C2211yescharacteristic, complemented
168C2×#66938C2211yescharacteristic, complemented
169C2×#66938C2211yescharacteristic, complemented
170C2×#66938C2211yescharacteristic, complemented
171C2×#66937C2211yescharacteristic
172C2×#66937C2211yescharacteristic
173C2×#66937C2211yescharacteristic, complemented
174C2×#66937C2211yescharacteristic, complemented
175C2×#66936C2211yescharacteristic
176C2×#66936C2211yescharacteristic
177C2×#66936C2211yescharacteristic, complemented
178C2×#66936C2211yescharacteristic, complemented
179C2×#66936C2211yescharacteristic, complemented
180C2×#66936C2211yescharacteristic, complemented
181C2×#66935C2211yescharacteristic
182C2×#66935C2211yescharacteristic
183C2×#66935C2211yescharacteristic, complemented
184C2×#66935C2211yescharacteristic, complemented
185C2×(C22⋊D11)⋊C4C2211yescharacteristic
186C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
187C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
188C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
189C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
190C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
191C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
192C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
193C2×C22⋊C4×D11C2211yescharacteristic
194C2×C22⋊C4×D11C2211yescharacteristic, complemented
195C2×C22⋊C4×D11C2211yescharacteristic, complemented
196C2×C22⋊C4×D11C2211yescharacteristic, complemented
197C2×C22⋊C4×D11C2211yescharacteristic, complemented
198C2×C22⋊C4×D11C2211yescharacteristic, complemented
199C2×#66932C2211yescharacteristic, complemented
200C2×#66932C2211yescharacteristic, complemented
201C2×#66932C2211yescharacteristic, complemented
202C2×#66932C2211yescharacteristic, complemented
203C2×#66931C2211yescharacteristic, complemented
204C2×#66931C2211yescharacteristic, complemented
205C2×#66930C2211yescharacteristic, complemented
206C2×#66930C2211yescharacteristic, complemented
207C2×#66929C2211yescharacteristic, complemented
208C2×#66929C2211yescharacteristic, complemented
209C2×#66928C2211yescharacteristic, complemented
210C2×C4×D44C2211yescharacteristic
211C2×C4×D44C2211yescharacteristic, complemented
212C2×C4×D44C2211yescharacteristic, complemented
213C2×#66925C2211yescharacteristic, complemented
214C2×#66925C2211yescharacteristic, complemented
215C2×#66925C2211yescharacteristic, complemented
216C2×#66925C2211yescharacteristic, complemented
217C2×C42×D11C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C24×D11C2311yescharacteristic
222C24×D11C2311yescharacteristic
223C22×D4×C11C2311yescharacteristic
224C22×D4×C11C2311yescharacteristic
225C22×D4×C11C2311yescharacteristic
226C22×D4×C11C2311yescharacteristic
227C22×D4×C11C2311yescharacteristic
228C22×D4×C11C2311yescharacteristic
229C23×C4×C11C2311yescharacteristic
230C23×C4×C11C2311yescharacteristic
231C23×C4×C11C2311yescharacteristic
232C23×C4×C11C2311yescharacteristic
233C23×C4×C11C2311yescharacteristic
234C23×C4×C11C2311yescharacteristic
235C22×C22⋊D11C2311yescharacteristic
236C22×C22⋊D11C2311yescharacteristic
237C22×C22⋊D11C2311yescharacteristic
238C22×C22⋊D11C2311yescharacteristic
239C22×C22⋊D11C2311yescharacteristic
240C22×C22⋊D11C2311yescharacteristic
241C22×C22⋊D11C2311yescharacteristic
242C22×C22⋊D11C2311yescharacteristic
243C22×C22⋊D11C2311yescharacteristic
244C22×C22⋊D11C2311yescharacteristic
245C22×C22⋊D11C2311yescharacteristic
246C22×C22⋊D11C2311yescharacteristic
247C23×Dic11C2311yescharacteristic
248C23×Dic11C2311yescharacteristic
249C23×Dic11C2311yescharacteristic
250C23×Dic11C2311yescharacteristic
251C23×Dic11C2311yescharacteristic
252C23×Dic11C2311yescharacteristic
253C2×#4341—44no—
254C2×#4341C2318yescomplemented
255C2×D4×D11—28no—
256C2×D4×D11—28no—
257C2×D4×D11—28no—
258C2×D4×D11—44no—
259C2×D4×D11C2318yes—
260C2×D4×D11C2318yes—
261C2×D4×D11C2318yes—
262C2×D4×D11C2318yescomplemented
263C2×#4339—44no—
264C2×#4339C2318yescomplemented
265C22×D44C2311yescharacteristic
266C22×D44C2311yescharacteristic
267C22×D44C2311yescharacteristic
268C22×D44C2311yescharacteristic
269C22×D44C2311yescharacteristic
270C22×D44C2311yescharacteristic
271C22×C4×D11—44no—
272C22×C4×D11—44no—
273C22×C4×D11C2311yescharacteristic
274C22×C4×D11C2311yescharacteristic
275C22×C4×D11C2311yescharacteristic
276C22×C4×D11C2311yescharacteristic
277C22×C4×D11C2311yescharacteristic
278C22×C4×D11C2311yescharacteristic
279C22×C4×D11C2311yescharacteristic
280C22×C4×D11C2311yescharacteristic
281C22×C4×D11C2311yescharacteristic
282C22×C4×D11C2311yescharacteristic
283C22×C4×D11C2311yescharacteristic
284C22×C4×D11C2311yescharacteristic
285C22×C4×D11C2311yescharacteristic
286C22×C4×D11C2311yescharacteristic
287C22×C4×D11C2311yescharacteristic
288C22×C4×D11C2318yes—
289C22×C4×D11C2318yescomplemented
290C22×Dic22—44no—
291C22×Dic22C2311yescharacteristic
292C22×Dic22C2311yescharacteristic
293C22×Dic22C2311yescharacteristic
294C22×Dic22C2311yescharacteristic
295C22×Dic22C2318yescomplemented
296C11×#126C2318yescomplemented
297C11×#126C2318yescomplemented
298C11×#125C2318yescomplemented
299C11×#123C2318yescomplemented
300C11×#123C2318yescomplemented
301C11×#121C2318yescomplemented
302C11×#121C2318yescomplemented
303C11×#121C2318yescomplemented
304C11×#121C2318yescomplemented
305C4×D4×C11C2318yescomplemented
306C4×D4×C11C2318yescomplemented
307C4×D4×C11C2318yescomplemented
308C4×D4×C11C2318yescomplemented
309C11×#117C2318yescomplemented
310C2×C11×C4⋊C4C2311yescharacteristic
311C2×C11×C4⋊C4C2311yescharacteristic
312C2×C11×C4⋊C4C2311yescharacteristic
313C2×C11×C4⋊C4C2311yescharacteristic
314C2×C11×C4⋊C4C2311yescharacteristic
315C2×C11×C4⋊C4C2311yescharacteristic
316C2×C11×C4⋊C4C2311yescharacteristic
317C2×C11×C4⋊C4C2311yescharacteristic
318C2×C11×C4⋊C4C2311yescharacteristic
319C2×C11×C4⋊C4C2311yescharacteristic
320C2×C11×C4⋊C4C2318yescomplemented
321C2×C11×C22⋊C4C2311yescharacteristic
322C2×C11×C22⋊C4C2311yescharacteristic
323C2×C11×C22⋊C4C2311yescharacteristic
324C2×C11×C22⋊C4C2311yescharacteristic
325C2×C11×C22⋊C4C2311yescharacteristic
326C2×C11×C22⋊C4C2311yescharacteristic
327C2×C11×C22⋊C4C2311yescharacteristic
328C2×C11×C22⋊C4C2311yescharacteristic
329C2×C11×C22⋊C4C2311yescharacteristic
330C2×C11×C22⋊C4C2311yescharacteristic
331C2×C42×C11C2311yescharacteristic
332C2×C42×C11C2311yescharacteristic
333C2×C42×C11C2311yescharacteristic
334C2×C22⋊Dic11C2311yescharacteristic
335C2×C22⋊Dic11C2311yescharacteristic
336C2×C22⋊Dic11C2311yescharacteristic
337C2×C22⋊Dic11C2311yescharacteristic
338C2×C22⋊Dic11C2311yescharacteristic
339C2×C22⋊Dic11C2311yescharacteristic
340C2×C22⋊Dic11C2311yescharacteristic
341C2×C22⋊Dic11C2311yescharacteristic
342C2×C22⋊Dic11C2311yescharacteristic
343C2×C22⋊Dic11C2311yescharacteristic
344#66992C2318yescomplemented
345#66992C2318yescomplemented
346#66992C2318yescomplemented
347#66992C2318yescomplemented
348#66992C2318yescomplemented
349#66992C2318yescomplemented
350#66992C2318yescomplemented
351#66992C2318yescomplemented
352#66991C2318yes—
353#66990C2318yes—
354#66990C2318yes—
355#66990C2318yescomplemented
356#66990C2318yescomplemented
357#66989C2318yescomplemented
358#66988C2318yescomplemented
359#66988C2318yescomplemented
360D4×Dic11C2318yescomplemented
361D4×Dic11C2318yescomplemented
362D4×Dic11C2318yescomplemented
363#66983C2318yescomplemented
364#66983C2318yescomplemented
365#66983C2318yescomplemented
366#66982C2318yescomplemented
367#66982C2318yescomplemented
368C4×C22⋊D11C2318yes—
369C4×C22⋊D11C2318yescomplemented
370C4×C22⋊D11C2318yescomplemented
371C4×C22⋊D11C2318yescomplemented
372C4×C22⋊D11C2318yescomplemented
373C4×C22⋊D11C2318yescomplemented
374C4×C22⋊D11C2318yescomplemented
375C4×C22⋊D11C2318yescomplemented
376C2×(C2×D11)⋊C4C2311yescharacteristic
377C2×(C2×D11)⋊C4C2311yescharacteristic
378C2×(C2×D11)⋊C4C2311yescharacteristic
379C2×(C2×D11)⋊C4C2311yescharacteristic
380C2×(C2×D11)⋊C4C2311yescharacteristic
381C2×(C2×D11)⋊C4C2311yescharacteristic
382C2×(C2×D11)⋊C4C2311yescharacteristic
383C2×(C2×D11)⋊C4C2311yescharacteristic
384C2×(C2×D11)⋊C4C2311yescharacteristic
385C2×(C2×D11)⋊C4C2311yescharacteristic
386C2×(C2×D11)⋊C4C2311yescharacteristic
387C2×(C2×D11)⋊C4C2311yescharacteristic
388C2×(C2×D11)⋊C4C2311yescharacteristic
389C2×(C2×D11)⋊C4C2311yescharacteristic
390C2×(C2×D11)⋊C4C2311yescharacteristic
391C2×(C2×D11)⋊C4C2311yescharacteristic
392C2×(C2×D11)⋊C4C2311yescharacteristic
393C2×(C2×D11)⋊C4C2311yescharacteristic
394C2×(C2×D11)⋊C4C2311yescharacteristic
395C2×(C2×D11)⋊C4C2311yescharacteristic
396C2×(C2×D11)⋊C4C2311yescharacteristic
397C2×(C2×D11)⋊C4C2311yescharacteristic
398C2×(C2×D11)⋊C4C2311yescharacteristic
399C2×(C2×D11)⋊C4C2311yescharacteristic
400C2×(C2×D11)⋊C4C2311yescharacteristic
401C2×(C2×D11)⋊C4C2311yescharacteristic
402C2×(C2×D11)⋊C4C2311yescharacteristic
403C2×(C2×D11)⋊C4C2311yescharacteristic
404C2×(C2×D11)⋊C4C2318yes—
405C2×(C2×D11)⋊C4C2318yes—
406C2×(C2×D11)⋊C4C2318yescomplemented
407C2×(C2×D11)⋊C4C2318yescomplemented
408C2×C4⋊Dic11C2311yescharacteristic
409C2×C4⋊Dic11C2311yescharacteristic
410C2×C4⋊Dic11C2311yescharacteristic
411C2×C4⋊Dic11C2311yescharacteristic
412C2×C4⋊Dic11C2311yescharacteristic
413C2×C4⋊Dic11C2311yescharacteristic
414#66977C2318yescomplemented
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×Dic11⋊C4C2311yescharacteristic
424C2×Dic11⋊C4C2311yescharacteristic
425C2×Dic11⋊C4C2311yescharacteristic
426C2×Dic11⋊C4C2311yescharacteristic
427C2×Dic11⋊C4C2311yescharacteristic
428C2×Dic11⋊C4C2311yescharacteristic
429C2×Dic11⋊C4C2311yescharacteristic
430C2×Dic11⋊C4C2311yescharacteristic
431C2×Dic11⋊C4C2311yescharacteristic
432C2×Dic11⋊C4C2311yescharacteristic
433C2×Dic11⋊C4C2311yescharacteristic
434C2×Dic11⋊C4C2311yescharacteristic
435C2×Dic11⋊C4C2318yescomplemented
436C2×Dic11⋊C4C2318yescomplemented
437C2×C4×Dic11C2311yescharacteristic
438C2×C4×Dic11C2311yescharacteristic
439C2×C4×Dic11C2311yescharacteristic
440C2×C4×Dic11C2311yescharacteristic
441C2×C4×Dic11C2311yescharacteristic
442C2×C4×Dic11C2311yescharacteristic
443C2×C4×Dic11C2311yescharacteristic
444C2×C4×Dic11C2311yescharacteristic
445C2×C4×Dic11C2311yescharacteristic
446#66951C2318yescomplemented
447#66951C2318yescomplemented
448#66951C2318yescomplemented
449#66951C2318yescomplemented
450#66950C2318yescomplemented
451#66949C2318yescomplemented
452#66949C2318yescomplemented
453#66949C2318yescomplemented
454#66949C2318yescomplemented
455#66949C2318yescomplemented
456#66949C2318yescomplemented
457#66949C2318yescomplemented
458#66949C2318yescomplemented
459#66949C2318yescomplemented
460#66949C2318yescomplemented
461#66948C2318yes—
462#66948C2318yescomplemented
463#66947C2318yes—
464#66947C2318yes—
465#66947C2318yescomplemented
466#66947C2318yescomplemented
467#66947C2318yescomplemented
468#66947C2318yescomplemented
469#66947C2318yescomplemented
470#66947C2318yescomplemented
471#66946C2318yes—
472#66946C2318yescomplemented
473#66946C2318yescomplemented
474#66946C2318yescomplemented
475#66945C2318yescomplemented
476#66945C2318yescomplemented
477#66945C2318yescomplemented
478C4⋊C4×D11C2318yescomplemented
479C4⋊C4×D11C2318yescomplemented
480#66943C2318yescomplemented
481#66942C2318yescomplemented
482#66942C2318yescomplemented
483#66942C2318yescomplemented
484#66942C2318yescomplemented
485#66940C2318yescomplemented
486#66938C2318yescomplemented
487#66938C2318yescomplemented
488#66938C2318yescomplemented
489#66938C2318yescomplemented
490#66937C2318yes—
491#66937C2318yes—
492#66937C2318yescomplemented
493#66937C2318yescomplemented
494#66936C2318yes—
495#66936C2318yes—
496#66936C2318yescomplemented
497#66936C2318yescomplemented
498#66936C2318yescomplemented
499#66936C2318yescomplemented
500#66935C2318yes—
501#66935C2318yes—
502#66935C2318yescomplemented
503#66935C2318yescomplemented
504(C22⋊D11)⋊C4C2318yes—
505(C22⋊D11)⋊C4C2318yescomplemented
506(C22⋊D11)⋊C4C2318yescomplemented
507(C22⋊D11)⋊C4C2318yescomplemented
508(C22⋊D11)⋊C4C2318yescomplemented
509(C22⋊D11)⋊C4C2318yescomplemented
510(C22⋊D11)⋊C4C2318yescomplemented
511(C22⋊D11)⋊C4C2318yescomplemented
512C22⋊C4×D11C2318yes—
513C22⋊C4×D11C2318yescomplemented
514C22⋊C4×D11C2318yescomplemented
515C22⋊C4×D11C2318yescomplemented
516C22⋊C4×D11C2318yescomplemented
517C22⋊C4×D11C2318yescomplemented
518#66932C2318yescomplemented
519#66932C2318yescomplemented
520#66932C2318yescomplemented
521#66932C2318yescomplemented
522#66931C2318yescomplemented
523#66931C2318yescomplemented
524#66930C2318yescomplemented
525#66930C2318yescomplemented
526#66929C2318yescomplemented
527#66929C2318yescomplemented
528#66928C2318yescomplemented
529C4×D44C2318yes—
530C4×D44C2318yescomplemented
531C4×D44C2318yescomplemented
532#66925C2318yescomplemented
533#66925C2318yescomplemented
534#66925C2318yescomplemented
535#66925C2318yescomplemented
536C42×D11C2318yescomplemented
537C4×Dic22C2318yescomplemented
538C2×#3505—111nomaximal, Sylow
539C24×C11C2411yescharacteristic
540C24×C11C2411yescharacteristic
541C24×C11C2411yescharacteristic
542C24×C11C2411yescharacteristic
543C23×D11—24no—
544C23×D11—24no—
545C23×D11—24no—
546C23×D11—42no—
547C23×D11—42no—
548C23×D11—42no—
549C23×D11—42no—
550C23×D11—42no—
551C23×D11—42no—
552C23×D11—42no—
553C23×D11—42no—
554C23×D11#4118yescomplemented
555C23×D11C2411yescharacteristic
556C23×D11C2411yescharacteristic
557C23×D11C2411yescharacteristic
558C23×D11C2411yescharacteristic
559C23×D11C2411yescharacteristic
560C23×D11C2414yes—
561C23×D11C2414yes—
562C23×D11C2414yes—
563C23×D11C2414yes—
564C2×D4×C11—24no—
565C2×D4×C11—24no—
566C2×D4×C11—24no—
567C2×D4×C11—42no—
568C2×D4×C11—42no—
569C2×D4×C11—42no—
570C2×D4×C11C2414yes—
571C2×D4×C11C2414yes—
572C2×D4×C11C2414yes—
573C2×D4×C11C2414yes—
574C2×D4×C11C2414yes—
575C2×D4×C11C2414yes—
576C22×C4×C11—42no—
577C22×C4×C11—42no—
578C22×C4×C11—42no—
579C22×C4×C11—42no—
580C22×C4×C11—42no—
581C22×C4×C11—42no—
582C22×C4×C11C2411yescharacteristic
583C22×C4×C11C2411yescharacteristic
584C22×C4×C11C2411yescharacteristic
585C22×C4×C11C2411yescharacteristic
586C22×C4×C11C2411yescharacteristic
587C22×C4×C11C2411yescharacteristic
588C22×C4×C11C2411yescharacteristic
589C22×C4×C11C2411yescharacteristic
590C22×C4×C11C2411yescharacteristic
591C22×C4×C11C2411yescharacteristic
592C22×C4×C11C2411yescharacteristic
593C22×C4×C11C2414yes—
594C22×C4×C11C2414yes—
595C22×C4×C11C2414yes—
596C22×C4×C11C2414yes—
597C22×C4×C11C2414yes—
598C22×C4×C11C2414yes—
599C2×C22⋊D11—24no—
600C2×C22⋊D11—24no—
601C2×C22⋊D11—24no—
602C2×C22⋊D11—24no—
603C2×C22⋊D11—24no—
604C2×C22⋊D11—24no—
605C2×C22⋊D11—24no—
606C2×C22⋊D11—24no—
607C2×C22⋊D11—42no—
608C2×C22⋊D11—42no—
609C2×C22⋊D11—42no—
610C2×C22⋊D11—42no—
611C2×C22⋊D11C2414yes—
612C2×C22⋊D11C2414yes—
613C2×C22⋊D11C2414yes—
614C2×C22⋊D11C2414yes—
615C2×C22⋊D11C2414yes—
616C2×C22⋊D11C2414yes—
617C2×C22⋊D11C2414yes—
618C2×C22⋊D11C2414yes—
619C2×C22⋊D11C2414yes—
620C2×C22⋊D11C2414yes—
621C2×C22⋊D11C2414yes—
622C2×C22⋊D11C2414yes—
623C22×Dic11—24no—
624C22×Dic11—24no—
625C22×Dic11—42no—
626C22×Dic11—42no—
627C22×Dic11—42no—
628C22×Dic11—42no—
629C22×Dic11C2414yes—
630C22×Dic11C2414yes—
631C22×Dic11C2411yescharacteristic
632C22×Dic11C2411yescharacteristic
633C22×Dic11C2411yescharacteristic
634C22×Dic11C2411yescharacteristic
635C22×Dic11C2411yescharacteristic
636C22×Dic11C2411yescharacteristic
637C22×Dic11C2411yescharacteristic
638C22×Dic11C2411yescharacteristic
639C22×Dic11C2411yescharacteristic
640C22×Dic11C2411yescharacteristic
641C22×Dic11C2414yes—
642C22×Dic11C2414yes—
643C22×Dic11C2414yes—
644C22×Dic11C2414yes—
645C22×Dic11C2411yescharacteristic
646#4341—416no—
647D4×D11—232no—
648D4×D11—232no—
649D4×D11—232no—
650D4×D11—416no—
651#4339—416no—
652C2×D44—24no—
653C2×D44—24no—
654C2×D44—24no—
655C2×D44—42no—
656C2×D44—42no—
657C2×D44—42no—
658C2×D44C2414yes—
659C2×D44C2414yes—
660C2×D44C2414yes—
661C2×D44C2414yes—
662C2×D44C2414yes—
663C2×D44C2414yes—
664C2×C4×D11—24no—
665C2×C4×D11—24no—
666C2×C4×D11—24no—
667C2×C4×D11—24no—
668C2×C4×D11—24no—
669C2×C4×D11—24no—
670C2×C4×D11—42no—
671C2×C4×D11—42no—
672C2×C4×D11—42no—
673C2×C4×D11—42no—
674C2×C4×D11—42no—
675C2×C4×D11—42no—
676C2×C4×D11—42no—
677C2×C4×D11—42no—
678C2×C4×D11—42no—
679C2×C4×D11—416no—
680C2×C4×D11—416no—
681C2×C4×D11C2414yes—
682C2×C4×D11C2414yes—
683C2×C4×D11C2414yes—
684C2×C4×D11C2414yes—
685C2×C4×D11C2414yes—
686C2×C4×D11C2414yes—
687C2×C4×D11C2414yes—
688C2×C4×D11C2414yes—
689C2×C4×D11C2414yes—
690C2×C4×D11C2414yes—
691C2×C4×D11C2414yes—
692C2×C4×D11C2414yes—
693C2×C4×D11C2414yes—
694C2×C4×D11C2414yes—
695C2×C4×D11C2414yes—
696C2×Dic22—24no—
697C2×Dic22—24no—
698C2×Dic22—42no—
699C2×Dic22—42no—
700C2×Dic22—416no—
701C2×Dic22C2414yes—
702C2×Dic22C2414yes—
703C2×Dic22C2414yes—
704C2×Dic22C2414yes—
705C11×C4⋊C4C2414yes—
706C11×C4⋊C4C2414yes—
707C11×C4⋊C4C2414yes—
708C11×C4⋊C4C2414yes—
709C11×C4⋊C4C2414yes—
710C11×C4⋊C4C2414yes—
711C11×C4⋊C4C2414yes—
712C11×C4⋊C4C2414yes—
713C11×C4⋊C4C2414yes—
714C11×C4⋊C4C2414yes—
715C11×C22⋊C4C2414yes—
716C11×C22⋊C4C2414yes—
717C11×C22⋊C4C2414yes—
718C11×C22⋊C4C2414yes—
719C11×C22⋊C4C2414yes—
720C11×C22⋊C4C2414yes—
721C11×C22⋊C4C2414yes—
722C11×C22⋊C4C2414yes—
723C11×C22⋊C4C2414yes—
724C11×C22⋊C4C2414yes—
725C42×C11C2414yes—
726C42×C11C2414yes—
727C42×C11C2414yes—
728C22⋊Dic11C2414yes—
729C22⋊Dic11C2414yes—
730C22⋊Dic11C2414yes—
731C22⋊Dic11C2414yes—
732C22⋊Dic11C2414yes—
733C22⋊Dic11C2414yes—
734C22⋊Dic11C2414yes—
735C22⋊Dic11C2414yes—
736C22⋊Dic11C2414yes—
737C22⋊Dic11C2414yes—
738(C2×D11)⋊C4C2414yes—
739(C2×D11)⋊C4C2414yes—
740(C2×D11)⋊C4C2414yes—
741(C2×D11)⋊C4C2414yes—
742(C2×D11)⋊C4C2414yes—
743(C2×D11)⋊C4C2414yes—
744(C2×D11)⋊C4C2414yes—
745(C2×D11)⋊C4C2414yes—
746(C2×D11)⋊C4C2414yes—
747(C2×D11)⋊C4C2414yes—
748(C2×D11)⋊C4C2414yes—
749(C2×D11)⋊C4C2414yes—
750(C2×D11)⋊C4C2414yes—
751(C2×D11)⋊C4C2414yes—
752(C2×D11)⋊C4C2414yes—
753(C2×D11)⋊C4C2414yes—
754(C2×D11)⋊C4C2414yes—
755(C2×D11)⋊C4C2414yes—
756(C2×D11)⋊C4C2414yes—
757(C2×D11)⋊C4C2414yes—
758(C2×D11)⋊C4C2414yes—
759(C2×D11)⋊C4C2414yes—
760(C2×D11)⋊C4C2414yes—
761(C2×D11)⋊C4C2414yes—
762(C2×D11)⋊C4C2414yes—
763(C2×D11)⋊C4C2414yes—
764(C2×D11)⋊C4C2414yes—
765(C2×D11)⋊C4C2414yes—
766C4⋊Dic11C2414yes—
767C4⋊Dic11C2414yes—
768C4⋊Dic11C2414yes—
769C4⋊Dic11C2414yes—
770C4⋊Dic11C2414yes—
771C4⋊Dic11C2414yes—
772Dic11⋊C4C2414yes—
773Dic11⋊C4C2414yes—
774Dic11⋊C4C2414yes—
775Dic11⋊C4C2414yes—
776Dic11⋊C4C2414yes—
777Dic11⋊C4C2414yes—
778Dic11⋊C4C2414yes—
779Dic11⋊C4C2414yes—
780Dic11⋊C4C2414yes—
781Dic11⋊C4C2414yes—
782Dic11⋊C4C2414yes—
783Dic11⋊C4C2414yes—
784Dic11⋊C4C2414yes—
785Dic11⋊C4C2414yes—
786Dic11⋊C4C2414yes—
787Dic11⋊C4C2414yes—
788Dic11⋊C4C2414yes—
789Dic11⋊C4C2414yes—
790Dic11⋊C4C2414yes—
791Dic11⋊C4C2414yes—
792C4×Dic11C2414yes—
793C4×Dic11C2414yes—
794C4×Dic11C2414yes—
795C4×Dic11C2414yes—
796C4×Dic11C2414yes—
797C4×Dic11C2414yes—
798C4×Dic11C2414yes—
799C4×Dic11C2414yes—
800C4×Dic11C2414yes—
801#3505—1132no—
802C2×#553—111no—
803C2×#553—111no—
804C2×#553—111no—
805C2×#553—111no—
806C2×#553—111no—
807C2×#553D1111yescharacteristic, complemented
808C2×#552—111no—
809C2×#552—111no—
810C2×#551—111no—
811C2×#551—111no—
812C2×#551—111no—
813C2×#551—111no—
814C2×#548—111no—
815C2×#548—111no—
816C2×#546—111no—
817C2×#546—111no—
818C2×#539—111no—
819C2×#539—111no—
820C2×#538—111no—
821C2×#538—111no—
822C2×#534—111no—
823C2×#534—111no—
824C2×#529—111no—
825C2×#529—111no—
826C2×#525—111no—
827C2×#525—111no—
828C22×C22⋊Q8—111no—
829C22×#121—111no—
830C2×#518—111no—
831C2×#518—111no—
832C22×C4×D4—111no—
833C23×C11—22no—
834C23×C11—22no—
835C23×C11—22no—
836C23×C11—22no—
837C23×C11—22no—
838C23×C11—22no—
839C23×C11—22no—
840C23×C11—22no—
841C23×C11—22no—
842C23×C11—22no—
843C23×C11—22no—
844C23×C11C2×#4114yes—
845C23×C11C2512yes—
846C23×C11C2512yes—
847C23×C11C2512yes—
848C23×C11C2512yes—
849C23×C11C2511yescharacteristic
850C22×D11—22no—
851C22×D11—22no—
852C22×D11—22no—
853C22×D11—22no—
854C22×D11—22no—
855C22×D11—22no—
856C22×D11—22no—
857C22×D11—22no—
858C22×D11—22no—
859C22×D11—22no—
860C22×D11—22no—
861C22×D11—22no—
862C22×D11—22no—
863C22×D11—28no—
864C22×D11—28no—
865C22×D11—28no—
866C22×D11—44no—
867C22×D11—44no—
868C22×D11—416no—
869C22×D11—44no—
870C22×D11—44no—
871C22×D11—44no—
872C22×D11—44no—
873C22×D11—44no—
874C22×D11—44no—
875C22×D11—416no—
876C22×D11—88no—
877C22×D11—88no—
878C22×D11C2×#4114yes—
879C22×D11C2×#4114yes—
880C22×D11C2×#41116yescomplemented
881C22×D11C2512yes—
882C22×D11C2512yes—
883C22×D11C2512yes—
884C22×D11C2512yes—
885C22×D11C2512yes—
886D4×C11—28no—
887D4×C11—28no—
888D4×C11—28no—
889D4×C11—44no—
890D4×C11—44no—
891D4×C11—44no—
892C2×C4×C11—22no—
893C2×C4×C11—22no—
894C2×C4×C11—22no—
895C2×C4×C11—22no—
896C2×C4×C11—22no—
897C2×C4×C11—22no—
898C2×C4×C11—22no—
899C2×C4×C11—22no—
900C2×C4×C11—22no—
901C2×C4×C11—22no—
902C2×C4×C11—22no—
903C2×C4×C11—44no—
904C2×C4×C11—44no—
905C2×C4×C11—44no—
906C2×C4×C11—44no—
907C2×C4×C11—44no—
908C2×C4×C11—44no—
909C2×C4×C11C2512yes—
910C2×C4×C11C2512yes—
911C2×C4×C11C2512yes—
912C2×C4×C11C2512yes—
913C2×C4×C11C2512yes—
914C2×C4×C11C2512yes—
915C2×C4×C11C2512yes—
916C2×C4×C11C2512yes—
917C2×C4×C11C2512yes—
918C2×C4×C11C2512yes—
919C2×C4×C11C2512yes—
920C22⋊D11—28no—
921C22⋊D11—28no—
922C22⋊D11—28no—
923C22⋊D11—28no—
924C22⋊D11—28no—
925C22⋊D11—28no—
926C22⋊D11—28no—
927C22⋊D11—28no—
928C22⋊D11—44no—
929C22⋊D11—44no—
930C22⋊D11—44no—
931C22⋊D11—44no—
932C2×Dic11—22no—
933C2×Dic11—22no—
934C2×Dic11—22no—
935C2×Dic11—22no—
936C2×Dic11—22no—
937C2×Dic11—22no—
938C2×Dic11—22no—
939C2×Dic11—22no—
940C2×Dic11—22no—
941C2×Dic11—22no—
942C2×Dic11—28no—
943C2×Dic11—28no—
944C2×Dic11—44no—
945C2×Dic11—44no—
946C2×Dic11—44no—
947C2×Dic11—44no—
948C2×Dic11H(5,𝔽2)14yes—
949C2×Dic11C2512yes—
950C2×Dic11C2512yes—
951C2×Dic11C2512yes—
952C2×Dic11C2512yes—
953C2×Dic11C2512yes—
954C2×Dic11C2512yes—
955C2×Dic11C2512yes—
956C2×Dic11C2512yes—
957C2×Dic11C2512yes—
958C2×Dic11C2512yes—
959C2×Dic11C2512yes—
960D44—28no—
961D44—28no—
962D44—28no—
963D44—44no—
964D44—44no—
965D44—44no—
966C4×D11—28no—
967C4×D11—28no—
968C4×D11—28no—
969C4×D11—28no—
970C4×D11—28no—
971C4×D11—28no—
972C4×D11—44no—
973C4×D11—44no—
974C4×D11—44no—
975C4×D11—44no—
976C4×D11—44no—
977C4×D11—44no—
978C4×D11—44no—
979C4×D11—44no—
980C4×D11—44no—
981Dic22—28no—
982Dic22—28no—
983Dic22—44no—
984Dic22—44no—
985C22×#41—111no—
986C22×#41—111no—
987C23×Q8—111no—
988C23×D4—111no—
989C23×D4—111no—
990C23×D4—111no—
991C23×D4—111no—
992C24×C4—111no—
993C24×C4—111no—
994#553—1116no—
995#553—1116no—
996#553—1116no—
997#553—1116no—
998#553—1116no—
999#553C2×D11116yescomplemented
1000#552—1116no—
1001#552—1116no—
1002#551—1116no—
1003#551—1116no—
1004#551—1116no—
1005#551—1116no—
1006#548—1116no—
1007#548—1116no—
1008#546—1116no—
1009#546—1116no—
1010#539—1116no—
1011#539—1116no—
1012#538—1116no—
1013#538—1116no—
1014#534—1116no—
1015#534—1116no—
1016#529—1116no—
1017#529—1116no—
1018C2×#126—111no—
1019C2×#126—111no—
1020C2×#126—111no—
1021C2×#126—111no—
1022C2×#126—111no—
1023C2×#126—111no—
1024C2×#126—111no—
1025C2×#126—111no—
1026C2×#126—111no—
1027C2×#126—111no—
1028C2×#126C2×D1111yescharacteristic, complemented
1029C2×#126C2×D1111yescharacteristic, complemented
1030C2×#125—111no—
1031C2×#125—111no—
1032C2×#125—111no—
1033C2×#125—111no—
1034C2×#125—111no—
1035C2×#125C2×D1111yescharacteristic, complemented
1036C2×#124—111no—
1037C2×#124—111no—
1038C2×#124—111no—
1039C2×#124—111no—
1040C2×#124—111no—
1041C2×#124—111no—
1042#525—1116no—
1043#525—1116no—
1044C2×#123—111no—
1045C2×#123—111no—
1046C2×#123—111no—
1047C2×#123—111no—
1048C2×#123—111no—
1049C2×#123—111no—
1050C2×#123—111no—
1051C2×#123—111no—
1052C2×#123—111no—
1053C2×#123—111no—
1054C2×#123—111no—
1055C2×#123—111no—
1056C2×#123—111no—
1057C2×#123—111no—
1058C2×#123—111no—
1059C2×#123—111no—
1060C2×#123—111no—
1061C2×#123—111no—
1062C2×#123C2×D1111yescharacteristic, complemented
1063C2×#123C2×D1111yescharacteristic, complemented
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—1116no—
1077C2×C22⋊Q8—111no—
1078C2×C22⋊Q8—111no—
1079C2×#121—111no—
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×#121—111no—
1090C2×#121—111no—
1091C2×#121—1116no—
1092C2×#121—111no—
1093C2×#121—111no—
1094C2×#121—111no—
1095C2×#121—111no—
1096C2×#121—111no—
1097C2×#121—111no—
1098C2×#121C2×D1111yescharacteristic, complemented
1099C2×#121C2×D1111yescharacteristic, complemented
1100C2×#121C2×D1111yescharacteristic, complemented
1101C2×#121C2×D1111yescharacteristic, complemented
1102C2×#120—111no—
1103C2×#120—111no—
1104C2×#120—111no—
1105C2×#120—111no—
1106C2×#120—111no—
1107C2×#120—111no—
1108C2×#120—111no—
1109C2×#120—111no—
1110#518—1116no—
1111#518—1116no—
1112C2×C4×Q8—111no—
1113C2×C4×Q8—111no—
1114C2×C4×D4—111no—
1115C2×C4×D4—111no—
1116C2×C4×D4—111no—
1117C2×C4×D4—111no—
1118C2×C4×D4—111no—
1119C2×C4×D4—111no—
1120C2×C4×D4—111no—
1121C2×C4×D4—111no—
1122C2×C4×D4—111no—
1123C2×C4×D4—111no—
1124C2×C4×D4—111no—
1125C2×C4×D4—1116no—
1126C2×C4×D4—111no—
1127C2×C4×D4—111no—
1128C2×C4×D4—111no—
1129C2×C4×D4—111no—
1130C2×C4×D4—111no—
1131C2×C4×D4—111no—
1132C2×C4×D4—111no—
1133C2×C4×D4—111no—
1134C2×C4×D4—111no—
1135C2×C4×D4—111no—
1136C2×C4×D4—111no—
1137C2×C4×D4—111no—
1138C2×C4×D4—111no—
1139C2×C4×D4—111no—
1140C2×C4×D4—111no—
1141C2×C4×D4C2×D1111yescharacteristic, complemented
1142C2×C4×D4C2×D1111yescharacteristic, complemented
1143C2×C4×D4C2×D1111yescharacteristic, complemented
1144C2×C4×D4C2×D1111yescharacteristic, complemented
1145C2×#117—111no—
1146C2×#117—111no—
1147C2×#117—111no—
1148C2×#117—111no—
1149C2×#117—111no—
1150C2×#117—111no—
1151C2×#117—111no—
1152C2×#117—111no—
1153C2×#117—111no—
1154C2×#117C2×D1111yescharacteristic, complemented
1155C22×C4⋊C4—111no—
1156C22×C4⋊C4—111no—
1157C22×C4⋊C4—111no—
1158C22×C4⋊C4—111no—
1159C22×C4⋊C4C2×D1111yescharacteristic, complemented
1160C22×C22⋊C4—111no—
1161C22×C22⋊C4—111no—
1162C22×C22⋊C4—111no—
1163C22×C22⋊C4—111no—
1164C22×C22⋊C4—111no—
1165C22×C22⋊C4—111no—
1166C22×C22⋊C4—111no—
1167C22×C22⋊C4—111no—
1168C22×C22⋊C4—111no—
1169C22×C22⋊C4—111no—
1170C22×C42—111no—
1171C22×C11—22no—
1172C22×C11—22no—
1173C22×C11—28no—
1174C22×C11—22no—
1175C22×C11—22no—
1176C22×C11—22no—
1177C22×C11—22no—
1178C22×C11—22no—
1179C22×C11—22no—
1180C22×C11—22no—
1181C22×C11—22no—
1182C22×C11—22no—
1183C22×C11—44no—
1184C22×C11—44no—
1185C22×C11—44no—
1186C22×C11C22×#4114yes—
1187C22×C11C22×#4112yes—
1188C22×C11C2×H(5,𝔽2)12yes—
1189C22×C11#58512yes—
1190C22×C11C2611yescharacteristic
1191C2×D11—22no—
1192C2×D11—22no—
1193C2×D11—22no—
1194C2×D11—22no—
1195C2×D11—28no—
1196C2×D11—28no—
1197C2×D11—22no—
1198C2×D11—22no—
1199C2×D11—22no—
1200C2×D11—22no—
1201C2×D11—22no—
1202C2×D11—22no—
1203C2×D11—22no—
1204C2×D11—22no—
1205C2×D11—22no—
1206C2×D11—416no—
1207C2×D11—416no—
1208C2×D11—44no—
1209C2×D11—44no—
1210C2×D11—44no—
1211C2×D11—88no—
1212C2×D11—88no—
1213C2×D11C22×#4114yes—
1214C2×D11C22×#4114yes—
1215C4×C11—22no—
1216C4×C11—22no—
1217C4×C11—22no—
1218C4×C11—22no—
1219C4×C11—22no—
1220C4×C11—22no—
1221C4×C11—22no—
1222C4×C11—22no—
1223C4×C11—22no—
1224C4×C11—22no—
1225C4×C11—22no—
1226Dic11—22no—
1227Dic11—22no—
1228Dic11—22no—
1229Dic11—22no—
1230Dic11—22no—
1231Dic11—22no—
1232Dic11—22no—
1233Dic11—22no—
1234Dic11—22no—
1235Dic11—22no—
1236Dic11C2×H(5,𝔽2)14yes—
1237C25—111no—
1238C25—111no—
1239C25—111no—
1240C25—111no—
1241C2×#41—118no—
1242C2×#41—118no—
1243C2×#41—444no—
1244C2×#41—444no—
1245C22×Q8—111no—
1246C22×Q8—111no—
1247C22×Q8—111no—
1248C22×Q8—111no—
1249C22×Q8—118no—
1250C22×Q8—444no—
1251C22×D4—111no—
1252C22×D4—111no—
1253C22×D4—111no—
1254C22×D4—111no—
1255C22×D4—111no—
1256C22×D4—111no—
1257C22×D4—111no—
1258C22×D4—111no—
1259C22×D4—111no—
1260C22×D4—111no—
1261C22×D4—111no—
1262C22×D4—111no—
1263C22×D4—118no—
1264C22×D4—118no—
1265C22×D4—118no—
1266C22×D4—118no—
1267C22×D4—111no—
1268C22×D4—111no—
1269C22×D4—111no—
1270C22×D4—111no—
1271C22×D4—111no—
1272C22×D4—111no—
1273C22×D4—228no—
1274C22×D4—228no—
1275C22×D4—228no—
1276C22×D4—444no—
1277C22×D4C22×D1111yescharacteristic
1278C22×D4C22×D1111yescharacteristic
1279C22×D4C22×D1111yescharacteristic
1280C22×D4C22×D1111yescharacteristic
1281C22×D4C22×D1111yescharacteristic
1282C22×D4C22×D1111yescharacteristic
1283C23×C4—111no—
1284C23×C4—111no—
1285C23×C4—111no—
1286C23×C4—111no—
1287C23×C4—111no—
1288C23×C4—111no—
1289C23×C4—111no—
1290C23×C4—111no—
1291C23×C4—111no—
1292C23×C4—111no—
1293C23×C4—111no—
1294C23×C4—111no—
1295C23×C4—111no—
1296C23×C4—111no—
1297C23×C4—111no—
1298C23×C4—111no—
1299C23×C4—111no—
1300C23×C4—111no—
1301C23×C4—111no—
1302C23×C4—111no—
1303C23×C4—111no—
1304C23×C4—118no—
1305C23×C4—118no—
1306C23×C4—444no—
1307C23×C4—444no—
1308C23×C4C22×D1111yescharacteristic
1309C23×C4C22×D1111yescharacteristic
1310C23×C4C22×D1111yescharacteristic
1311C23×C4C22×D1111yescharacteristic
1312C23×C4C22×D1111yescharacteristic
1313C23×C4C22×D1111yescharacteristic
1314#126—118no—
1315#126—118no—
1316#126—118no—
1317#126—118no—
1318#126—118no—
1319#126—118no—
1320#126—118no—
1321#126—118no—
1322#126—118no—
1323#126—118no—
1324#126C22×D1118yescomplemented
1325#126C22×D1118yescomplemented
1326#125—118no—
1327#125—118no—
1328#125—118no—
1329#125—118no—
1330#125—118no—
1331#125C22×D1118yescomplemented
1332#124—118no—
1333#124—118no—
1334#124—118no—
1335#124—118no—
1336#124—118no—
1337#124—118no—
1338#123—118no—
1339#123—118no—
1340#123—118no—
1341#123—118no—
1342#123—118no—
1343#123—118no—
1344#123—118no—
1345#123—118no—
1346#123—118no—
1347#123—118no—
1348#123—118no—
1349#123—118no—
1350#123—118no—
1351#123—118no—
1352#123—118no—
1353#123—118no—
1354#123—118no—
1355#123—118no—
1356#123C22×D1118yescomplemented
1357#123C22×D1118yescomplemented
1358C22⋊Q8—118no—
1359C22⋊Q8—118no—
1360C22⋊Q8—118no—
1361C22⋊Q8—118no—
1362C22⋊Q8—118no—
1363C22⋊Q8—118no—
1364C22⋊Q8—118no—
1365C22⋊Q8—118no—
1366C22⋊Q8—118no—
1367C22⋊Q8—118no—
1368C22⋊Q8—118no—
1369C22⋊Q8—118no—
1370C22⋊Q8—118no—
1371C22⋊Q8—118no—
1372#121—118no—
1373#121—118no—
1374#121—118no—
1375#121—118no—
1376#121—118no—
1377#121—118no—
1378#121—118no—
1379#121—118no—
1380#121—118no—
1381#121—118no—
1382#121—118no—
1383#121—118no—
1384#121—118no—
1385#121—118no—
1386#121—118no—
1387#121—118no—
1388#121—118no—
1389#121—118no—
1390#121C22×D1118yescomplemented
1391#121C22×D1118yescomplemented
1392#121C22×D1118yescomplemented
1393#121C22×D1118yescomplemented
1394#120—118no—
1395#120—118no—
1396#120—118no—
1397#120—118no—
1398#120—118no—
1399#120—118no—
1400#120—118no—
1401#120—118no—
1402C4×Q8—118no—
1403C4×Q8—118no—
1404C4×D4—118no—
1405C4×D4—118no—
1406C4×D4—118no—
1407C4×D4—118no—
1408C4×D4—118no—
1409C4×D4—118no—
1410C4×D4—118no—
1411C4×D4—118no—
1412C4×D4—118no—
1413C4×D4—118no—
1414C4×D4—118no—
1415C4×D4—118no—
1416C4×D4—118no—
1417C4×D4—118no—
1418C4×D4—118no—
1419C4×D4—118no—
1420C4×D4—118no—
1421C4×D4—118no—
1422C4×D4—118no—
1423C4×D4—118no—
1424C4×D4—118no—
1425C4×D4—118no—
1426C4×D4—118no—
1427C4×D4—118no—
1428C4×D4—118no—
1429C4×D4—118no—
1430C4×D4C22×D1118yescomplemented
1431C4×D4C22×D1118yescomplemented
1432C4×D4C22×D1118yescomplemented
1433C4×D4C22×D1118yescomplemented
1434#117—118no—
1435#117—118no—
1436#117—118no—
1437#117—118no—
1438#117—118no—
1439#117—118no—
1440#117—118no—
1441#117—118no—
1442#117—118no—
1443#117C22×D1118yescomplemented
1444C2×C4⋊C4—111no—
1445C2×C4⋊C4—111no—
1446C2×C4⋊C4—111no—
1447C2×C4⋊C4—111no—
1448C2×C4⋊C4—111no—
1449C2×C4⋊C4—111no—
1450C2×C4⋊C4—111no—
1451C2×C4⋊C4—111no—
1452C2×C4⋊C4—111no—
1453C2×C4⋊C4—111no—
1454C2×C4⋊C4—111no—
1455C2×C4⋊C4—111no—
1456C2×C4⋊C4—111no—
1457C2×C4⋊C4—111no—
1458C2×C4⋊C4—118no—
1459C2×C4⋊C4—118no—
1460C2×C4⋊C4—111no—
1461C2×C4⋊C4—111no—
1462C2×C4⋊C4—111no—
1463C2×C4⋊C4—111no—
1464C2×C4⋊C4—111no—
1465C2×C4⋊C4—111no—
1466C2×C4⋊C4—111no—
1467C2×C4⋊C4—111no—
1468C2×C4⋊C4—111no—
1469C2×C4⋊C4—111no—
1470C2×C4⋊C4—111no—
1471C2×C4⋊C4—111no—
1472C2×C4⋊C4—118no—
1473C2×C4⋊C4—118no—
1474C2×C4⋊C4C22×D1111yescharacteristic
1475C2×C4⋊C4C22×D1111yescharacteristic
1476C2×C4⋊C4C22×D1111yescharacteristic
1477C2×C4⋊C4C22×D1111yescharacteristic
1478C2×C4⋊C4C22×D1111yescharacteristic
1479C2×C4⋊C4C22×D1111yescharacteristic
1480C2×C4⋊C4C22×D1111yescharacteristic
1481C2×C4⋊C4C22×D1111yescharacteristic
1482C2×C4⋊C4C22×D1111yescharacteristic
1483C2×C4⋊C4C22×D1111yescharacteristic
1484C2×C4⋊C4C22×D1118yescomplemented
1485C2×C22⋊C4—111no—
1486C2×C22⋊C4—111no—
1487C2×C22⋊C4—111no—
1488C2×C22⋊C4—111no—
1489C2×C22⋊C4—111no—
1490C2×C22⋊C4—111no—
1491C2×C22⋊C4—111no—
1492C2×C22⋊C4—111no—
1493C2×C22⋊C4—111no—
1494C2×C22⋊C4—111no—
1495C2×C22⋊C4—111no—
1496C2×C22⋊C4—111no—
1497C2×C22⋊C4—111no—
1498C2×C22⋊C4—111no—
1499C2×C22⋊C4—111no—
1500C2×C22⋊C4—111no—
1501C2×C22⋊C4—111no—
1502C2×C22⋊C4—111no—
1503C2×C22⋊C4—111no—
1504C2×C22⋊C4—111no—
1505C2×C22⋊C4—111no—
1506C2×C22⋊C4—111no—
1507C2×C22⋊C4—111no—
1508C2×C22⋊C4—111no—
1509C2×C22⋊C4—111no—
1510C2×C22⋊C4—111no—
1511C2×C22⋊C4—111no—
1512C2×C22⋊C4—111no—
1513C2×C22⋊C4—118no—
1514C2×C22⋊C4—118no—
1515C2×C22⋊C4—118no—
1516C2×C22⋊C4—118no—
1517C2×C22⋊C4—111no—
1518C2×C22⋊C4—111no—
1519C2×C22⋊C4—111no—
1520C2×C22⋊C4—111no—
1521C2×C22⋊C4—111no—
1522C2×C22⋊C4—111no—
1523C2×C22⋊C4—111no—
1524C2×C22⋊C4—111no—
1525C2×C22⋊C4—111no—
1526C2×C22⋊C4—111no—
1527C2×C22⋊C4—118no—
1528C2×C22⋊C4—118no—
1529C2×C22⋊C4—118no—
1530C2×C22⋊C4—118no—
1531C2×C22⋊C4—118no—
1532C2×C22⋊C4—118no—
1533C2×C22⋊C4C22×D1111yescharacteristic
1534C2×C22⋊C4C22×D1111yescharacteristic
1535C2×C22⋊C4C22×D1111yescharacteristic
1536C2×C22⋊C4C22×D1111yescharacteristic
1537C2×C22⋊C4C22×D1111yescharacteristic
1538C2×C22⋊C4C22×D1111yescharacteristic
1539C2×C22⋊C4C22×D1111yescharacteristic
1540C2×C22⋊C4C22×D1111yescharacteristic
1541C2×C22⋊C4C22×D1111yescharacteristic
1542C2×C22⋊C4C22×D1111yescharacteristic
1543C2×C42—111no—
1544C2×C42—111no—
1545C2×C42—111no—
1546C2×C42—111no—
1547C2×C42—111no—
1548C2×C42—111no—
1549C2×C42—111no—
1550C2×C42—111no—
1551C2×C42—111no—
1552C2×C42—118no—
1553C2×C42C22×D1111yescharacteristic
1554C2×C42C22×D1111yescharacteristic
1555C2×C42C22×D1111yescharacteristic
1556C2×C11—24no—
1557C2×C11—42no—
1558C2×C11—42no—
1559C2×C11—42no—
1560C2×C11#350514yescomplemented
1561C2×C11C23×#4111yescharacteristic
1562C2×C11C22×H(5,𝔽2)11yescharacteristic
1563C2×C11C2×#58511yescharacteristic
1564D11—24no—
1565D11—24no—
1566D11—42no—
1567D11—42no—
1568D11—42no—
1569C24—111no—
1570C24—111no—
1571C24—118no—
1572C24—114no—
1573C24—111no—
1574C24—111no—
1575C24—111no—
1576C24—114no—
1577C24—114no—
1578C24—114no—
1579C24—224no—
1580C24—224no—
1581C24—224no—
1582C24—442no—
1583C24—442no—
1584C24—442no—
1585C24—442no—
1586C24—442no—
1587C24—442no—
1588C24—442no—
1589C24—442no—
1590C24C23×D1111yescharacteristic
1591C24C23×D1111yescharacteristic
1592C24C23×D1111yescharacteristic
1593C24C23×D1111yescharacteristic
1594#41—4416no—
1595#41—4416no—
1596C2×Q8—114no—
1597C2×Q8—114no—
1598C2×Q8—114no—
1599C2×Q8—114no—
1600C2×Q8—224no—
1601C2×Q8—224no—
1602C2×Q8—442no—
1603C2×Q8—442no—
1604C2×Q8—4416no—
1605C2×D4—24no—
1606C2×D4—24no—
1607C2×D4—24no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—114no—
1612C2×D4—114no—
1613C2×D4—114no—
1614C2×D4—114no—
1615C2×D4—114no—
1616C2×D4—114no—
1617C2×D4—114no—
1618C2×D4—114no—
1619C2×D4—114no—
1620C2×D4—114no—
1621C2×D4—114no—
1622C2×D4—114no—
1623C2×D4—114no—
1624C2×D4—114no—
1625C2×D4—114no—
1626C2×D4—114no—
1627C2×D4—114no—
1628C2×D4—114no—
1629C2×D4—224no—
1630C2×D4—224no—
1631C2×D4—224no—
1632C2×D4—224no—
1633C2×D4—224no—
1634C2×D4—2232no—
1635C2×D4—2232no—
1636C2×D4—2232no—
1637C2×D4—224no—
1638C2×D4—224no—
1639C2×D4—224no—
1640C2×D4—224no—
1641C2×D4—224no—
1642C2×D4—224no—
1643C2×D4—442no—
1644C2×D4—442no—
1645C2×D4—442no—
1646C2×D4—4416no—
1647C2×D4—442no—
1648C2×D4—442no—
1649C2×D4—442no—
1650C2×D4—442no—
1651C2×D4C23×D1114yes—
1652C2×D4C23×D1114yes—
1653C2×D4C23×D1114yes—
1654C2×D4C23×D1114yes—
1655C2×D4C23×D1114yes—
1656C2×D4C23×D1114yes—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—111no—
1664C22×C4—114no—
1665C22×C4—114no—
1666C22×C4—111no—
1667C22×C4—111no—
1668C22×C4—111no—
1669C22×C4—111no—
1670C22×C4—111no—
1671C22×C4—111no—
1672C22×C4—111no—
1673C22×C4—111no—
1674C22×C4—111no—
1675C22×C4—111no—
1676C22×C4—114no—
1677C22×C4—114no—
1678C22×C4—114no—
1679C22×C4—114no—
1680C22×C4—114no—
1681C22×C4—114no—
1682C22×C4—114no—
1683C22×C4—114no—
1684C22×C4—114no—
1685C22×C4—114no—
1686C22×C4—114no—
1687C22×C4—114no—
1688C22×C4—114no—
1689C22×C4—114no—
1690C22×C4—114no—
1691C22×C4—114no—
1692C22×C4—114no—
1693C22×C4—114no—
1694C22×C4—114no—
1695C22×C4—224no—
1696C22×C4—224no—
1697C22×C4—224no—
1698C22×C4—224no—
1699C22×C4—224no—
1700C22×C4—224no—
1701C22×C4—224no—
1702C22×C4—224no—
1703C22×C4—442no—
1704C22×C4—442no—
1705C22×C4—442no—
1706C22×C4—442no—
1707C22×C4—442no—
1708C22×C4—442no—
1709C22×C4—442no—
1710C22×C4—442no—
1711C22×C4—442no—
1712C22×C4—4416no—
1713C22×C4—4416no—
1714C22×C4—442no—
1715C22×C4—442no—
1716C22×C4—442no—
1717C22×C4—442no—
1718C22×C4C23×D1111yescharacteristic
1719C22×C4C23×D1111yescharacteristic
1720C22×C4C23×D1111yescharacteristic
1721C22×C4C23×D1111yescharacteristic
1722C22×C4C23×D1111yescharacteristic
1723C22×C4C23×D1111yescharacteristic
1724C22×C4C23×D1111yescharacteristic
1725C22×C4C23×D1111yescharacteristic
1726C22×C4C23×D1111yescharacteristic
1727C22×C4C23×D1111yescharacteristic
1728C22×C4C23×D1111yescharacteristic
1729C22×C4C23×D1114yes—
1730C22×C4C23×D1114yes—
1731C22×C4C23×D1114yes—
1732C22×C4C23×D1114yes—
1733C22×C4C23×D1114yes—
1734C22×C4C23×D1114yes—
1735C4⋊C4—114no—
1736C4⋊C4—114no—
1737C4⋊C4—114no—
1738C4⋊C4—114no—
1739C4⋊C4—114no—
1740C4⋊C4—114no—
1741C4⋊C4—114no—
1742C4⋊C4—114no—
1743C4⋊C4—114no—
1744C4⋊C4—114no—
1745C4⋊C4—114no—
1746C4⋊C4—114no—
1747C4⋊C4—114no—
1748C4⋊C4—114no—
1749C4⋊C4—114no—
1750C4⋊C4—114no—
1751C4⋊C4—114no—
1752C4⋊C4—114no—
1753C4⋊C4—114no—
1754C4⋊C4—114no—
1755C4⋊C4—114no—
1756C4⋊C4—114no—
1757C4⋊C4—114no—
1758C4⋊C4—114no—
1759C4⋊C4—114no—
1760C4⋊C4—114no—
1761C4⋊C4C23×D1114yes—
1762C4⋊C4C23×D1114yes—
1763C4⋊C4C23×D1114yes—
1764C4⋊C4C23×D1114yes—
1765C4⋊C4C23×D1114yes—
1766C4⋊C4C23×D1114yes—
1767C4⋊C4C23×D1114yes—
1768C4⋊C4C23×D1114yes—
1769C4⋊C4C23×D1114yes—
1770C4⋊C4C23×D1114yes—
1771C22⋊C4—114no—
1772C22⋊C4—114no—
1773C22⋊C4—114no—
1774C22⋊C4—114no—
1775C22⋊C4—114no—
1776C22⋊C4—114no—
1777C22⋊C4—114no—
1778C22⋊C4—114no—
1779C22⋊C4—114no—
1780C22⋊C4—114no—
1781C22⋊C4—114no—
1782C22⋊C4—114no—
1783C22⋊C4—114no—
1784C22⋊C4—114no—
1785C22⋊C4—114no—
1786C22⋊C4—114no—
1787C22⋊C4—114no—
1788C22⋊C4—114no—
1789C22⋊C4—114no—
1790C22⋊C4—114no—
1791C22⋊C4—114no—
1792C22⋊C4—114no—
1793C22⋊C4—114no—
1794C22⋊C4—114no—
1795C22⋊C4—114no—
1796C22⋊C4—114no—
1797C22⋊C4—114no—
1798C22⋊C4—114no—
1799C22⋊C4—114no—
1800C22⋊C4—114no—
1801C22⋊C4—114no—
1802C22⋊C4—114no—
1803C22⋊C4—114no—
1804C22⋊C4—114no—
1805C22⋊C4—114no—
1806C22⋊C4—114no—
1807C22⋊C4—114no—
1808C22⋊C4—114no—
1809C22⋊C4C23×D1114yes—
1810C22⋊C4C23×D1114yes—
1811C22⋊C4C23×D1114yes—
1812C22⋊C4C23×D1114yes—
1813C22⋊C4C23×D1114yes—
1814C22⋊C4C23×D1114yes—
1815C22⋊C4C23×D1114yes—
1816C22⋊C4C23×D1114yes—
1817C22⋊C4C23×D1114yes—
1818C22⋊C4C23×D1114yes—
1819C42—114no—
1820C42—114no—
1821C42—114no—
1822C42—114no—
1823C42—114no—
1824C42—114no—
1825C42—114no—
1826C42—114no—
1827C42—114no—
1828C42C23×D1114yes—
1829C42C23×D1114yes—
1830C42C23×D1114yes—
1831C11C2×#350511yescharacteristic, complemented, Sylow
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—114no—
1844C23—114no—
1845C23—112no—
1846C23—112no—
1847C23—1116no—
1848C23—112no—
1849C23—112no—
1850C23—112no—
1851C23—228no—
1852C23—228no—
1853C23—228no—
1854C23—222no—
1855C23—222no—
1856C23—222no—
1857C23—222no—
1858C23—222no—
1859C23—222no—
1860C23—222no—
1861C23—222no—
1862C23—222no—
1863C23—222no—
1864C23—222no—
1865C23—222no—
1866C23—222no—
1867C23—444no—
1868C23—444no—
1869C23—444no—
1870C23—4416no—
1871C23—444no—
1872C23—444no—
1873C23—444no—
1874C23—444no—
1875C23—444no—
1876C23—4416no—
1877C23—888no—
1878C23—888no—
1879C23#41×D1114yes—
1880C23C24×D1112yes—
1881C23C24×D1112yes—
1882C23C24×D1112yes—
1883C23C24×D1112yes—
1884C23C24×D1111yescharacteristic
1885Q8—228no—
1886Q8—228no—
1887Q8—444no—
1888Q8—444no—
1889D4—28no—
1890D4—28no—
1891D4—28no—
1892D4—44no—
1893D4—44no—
1894D4—44no—
1895D4—228no—
1896D4—228no—
1897D4—228no—
1898D4—228no—
1899D4—228no—
1900D4—228no—
1901D4—228no—
1902D4—228no—
1903D4—228no—
1904D4—228no—
1905D4—228no—
1906D4—444no—
1907D4—444no—
1908D4—444no—
1909D4—444no—
1910D4—444no—
1911D4—444no—
1912D4—444no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—44no—
1925C2×C4—44no—
1926C2×C4—44no—
1927C2×C4—44no—
1928C2×C4—44no—
1929C2×C4—44no—
1930C2×C4—114no—
1931C2×C4—112no—
1932C2×C4—112no—
1933C2×C4—112no—
1934C2×C4—112no—
1935C2×C4—112no—
1936C2×C4—112no—
1937C2×C4—112no—
1938C2×C4—112no—
1939C2×C4—112no—
1940C2×C4—112no—
1941C2×C4—112no—
1942C2×C4—228no—
1943C2×C4—228no—
1944C2×C4—228no—
1945C2×C4—228no—
1946C2×C4—228no—
1947C2×C4—228no—
1948C2×C4—228no—
1949C2×C4—228no—
1950C2×C4—222no—
1951C2×C4—222no—
1952C2×C4—222no—
1953C2×C4—222no—
1954C2×C4—222no—
1955C2×C4—222no—
1956C2×C4—222no—
1957C2×C4—222no—
1958C2×C4—222no—
1959C2×C4—222no—
1960C2×C4—444no—
1961C2×C4—444no—
1962C2×C4—444no—
1963C2×C4—444no—
1964C2×C4—444no—
1965C2×C4—444no—
1966C2×C4—444no—
1967C2×C4—444no—
1968C2×C4—444no—
1969C2×C4—444no—
1970C2×C4—444no—
1971C2×C4—444no—
1972C2×C4—444no—
1973C2×C4C24×D1112yes—
1974C2×C4C24×D1112yes—
1975C2×C4C24×D1112yes—
1976C2×C4C24×D1112yes—
1977C2×C4C24×D1112yes—
1978C2×C4C24×D1112yes—
1979C2×C4C24×D1112yes—
1980C2×C4C24×D1112yes—
1981C2×C4C24×D1112yes—
1982C2×C4C24×D1112yes—
1983C2×C4C24×D1112yes—
1984C22—22no—
1985C22—22no—
1986C22—28no—
1987C22—22no—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—22no—
1996C22—44no—
1997C22—44no—
1998C22—44no—
1999C22—114no—
2000C22—114no—
2001C22—222no—
2002C22—222no—
2003C22—222no—
2004C22—222no—
2005C22—228no—
2006C22—228no—
2007C22—222no—
2008C22—222no—
2009C22—222no—
2010C22—222no—
2011C22—222no—
2012C22—222no—
2013C22—222no—
2014C22—222no—
2015C22—222no—
2016C22—4416no—
2017C22—4416no—
2018C22—444no—
2019C22—444no—
2020C22—444no—
2021C22—888no—
2022C22—888no—
2023C22C2×#41×D1114yes—
2024C22C2×#41×D1112yes—
2025C22#1062345312yes—
2026C22D11×H(5,𝔽2)12yes—
2027C22C25×D1111yescharacteristic
2028C4—22no—
2029C4—22no—
2030C4—22no—
2031C4—22no—
2032C4—22no—
2033C4—22no—
2034C4—22no—
2035C4—22no—
2036C4—22no—
2037C4—22no—
2038C4—22no—
2039C4—114no—
2040C4—222no—
2041C4—222no—
2042C4—222no—
2043C4—222no—
2044C4—222no—
2045C4—222no—
2046C4—222no—
2047C4—222no—
2048C4—222no—
2049C4—222no—
2050C2—24no—
2051C2—42no—
2052C2—42no—
2053C2—42no—
2054C2—224no—
2055C2—224no—
2056C2—442no—
2057C2—442no—
2058C2—442no—
2059C2#1308244914yesdirect product factor
2060C2C22×#41×D1111yescharacteristic
2061C2C2×D11×H(5,𝔽2)11yescharacteristic
2062C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#553C2
socleC23×C11C25
hypercenterC2×#553D11
hypocenterC11C2×#3505
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #13082449C2direct (N × H)
2. C2×#10623071C2semidirect
3. C2×#10623071C2semidirect
4. C2×#10623045C2semidirect
5. C2×#10623132C2semidirect
6. C2×#10623132C2semidirect
7. C2×#10623239C2semidirect
8. C2×#10623224C2semidirect
9. C2×#10623087C2semidirect
10. C2×#10623190C2semidirect
11. C2×#10623236C2semidirect
12. C2×#10623058C2semidirect
13. C2×#10623083C2semidirect
14. C2×#10623129C2semidirect
15. C2×#10623185C2semidirect
16. C2×#10623141C2semidirect
17. C2×#10623223C2semidirect
18. C2×#10623191C2semidirect
19. C2×#10623235C2semidirect
20. C2×#10623144C2semidirect
21. C2×#10623136C2semidirect
22. C2×#10623136C2semidirect
23. C2×#10623237C2semidirect
24. C2×#10623059C2semidirect
25. C2×#10623078C2semidirect
26. C2×#10623187C2semidirect
27. C22×#66949C2semidirect
28. C2×D11×#121C2semidirect
29. C2×#10623076C2semidirect
30. C2×#10623076C2semidirect
31. C2×C4×D4×D11C2semidirect
32. C2×C11×#553C2semidirect
33. C22×#4341C22semidirect
37. C22×D4×D11C22semidirect
38. C22×#4339C22semidirect
40. C23×C4×D11C22semidirect
41. C23×Dic22C22semidirect
42. C11×#553C22semidirect
43. C2×C11×#126C22semidirect
44. C2×C11×#126C22semidirect
45. C2×C11×#125C22semidirect
46. C2×C11×#123C22semidirect
47. C2×C11×#123C22semidirect
48. C2×C11×#121C22semidirect
49. C2×C11×#121C22semidirect
50. C2×C11×#121C22semidirect
51. C2×C11×#121C22semidirect
52. C2×C4×D4×C11C22semidirect
53. C2×C4×D4×C11C22semidirect
54. C2×C4×D4×C11C22semidirect
55. C2×C4×D4×C11C22semidirect
56. C2×C11×#117C22semidirect
57. C22×C11×C4⋊C4C22semidirect
58. C2×#66992C22semidirect
59. C2×#66992C22semidirect
60. C2×#66992C22semidirect
61. C2×#66992C22semidirect
62. C2×#66992C22semidirect
63. C2×#66992C22semidirect
64. C2×#66992C22semidirect
65. C2×#66992C22semidirect
69. C2×#66990C22semidirect
70. C2×#66990C22semidirect
71. C2×#66989C22semidirect
72. C2×#66988C22semidirect
73. C2×#66988C22semidirect
74. C2×D4×Dic11C22semidirect
75. C2×D4×Dic11C22semidirect
76. C2×D4×Dic11C22semidirect
77. C2×#66983C22semidirect
78. C2×#66983C22semidirect
79. C2×#66983C22semidirect
80. C2×#66982C22semidirect
81. C2×#66982C22semidirect
83. C2×C4×C22⋊D11C22semidirect
84. C2×C4×C22⋊D11C22semidirect
85. C2×C4×C22⋊D11C22semidirect
86. C2×C4×C22⋊D11C22semidirect
87. C2×C4×C22⋊D11C22semidirect
88. C2×C4×C22⋊D11C22semidirect
89. C2×C4×C22⋊D11C22semidirect
92. C22×(C2×D11)⋊C4C22semidirect
93. C22×(C2×D11)⋊C4C22semidirect
94. C2×#66977C22semidirect
95. C22×Dic11⋊C4C22semidirect
96. C22×Dic11⋊C4C22semidirect
97. #10623239C22semidirect
98. #10623237C22semidirect
99. #10623236C22semidirect
100. #10623235C22semidirect
101. #10623224C22semidirect
102. #10623223C22semidirect
103. #10623191C22semidirect
104. #10623190C22semidirect
105. #10623187C22semidirect
106. #10623185C22semidirect
107. #10623144C22semidirect
108. #10623141C22semidirect
109. #10623136C22semidirect
110. #10623136C22semidirect
111. D11×#121C22semidirect
112. #10623132C22semidirect
113. #10623132C22semidirect
114. #10623129C22semidirect
115. #10623087C22semidirect
116. #10623083C22semidirect
117. #10623078C22semidirect
118. #10623076C22semidirect
119. #10623076C22semidirect
120. C4×D4×D11C22semidirect
121. #10623071C22semidirect
122. #10623071C22semidirect
123. #10623059C22semidirect
124. #10623058C22semidirect
125. #10623045C22semidirect
126. C2×#66951C22semidirect
127. C2×#66951C22semidirect
128. C2×#66951C22semidirect
129. C2×#66951C22semidirect
130. C2×#66950C22semidirect
131. C2×#66949C22semidirect
132. C2×#66949C22semidirect
133. C2×#66949C22semidirect
134. C2×#66949C22semidirect
135. C2×#66949C22semidirect
136. C2×#66949C22semidirect
137. C2×#66949C22semidirect
138. C2×#66949C22semidirect
139. C2×#66949C22semidirect
140. C2×#66949C22semidirect
141. C2×#66949C22semidirect
143. C2×#66948C22semidirect
146. C2×#66947C22semidirect
147. C2×#66947C22semidirect
148. C2×#66947C22semidirect
149. C2×#66947C22semidirect
150. C2×#66947C22semidirect
151. C2×#66947C22semidirect
153. C2×#66946C22semidirect
154. C2×#66946C22semidirect
155. C2×#66946C22semidirect
156. C2×#66945C22semidirect
157. C2×#66945C22semidirect
158. C2×#66945C22semidirect
159. C2×C4⋊C4×D11C22semidirect
160. C2×C4⋊C4×D11C22semidirect
161. C2×#66943C22semidirect
162. C2×#66942C22semidirect
163. C2×#66942C22semidirect
164. C2×#66942C22semidirect
165. C2×#66942C22semidirect
166. C2×#66940C22semidirect
167. C2×#66938C22semidirect
168. C2×#66938C22semidirect
169. C2×#66938C22semidirect
170. C2×#66938C22semidirect
173. C2×#66937C22semidirect
174. C2×#66937C22semidirect
177. C2×#66936C22semidirect
178. C2×#66936C22semidirect
179. C2×#66936C22semidirect
180. C2×#66936C22semidirect
183. C2×#66935C22semidirect
184. C2×#66935C22semidirect
186. C2×(C22⋊D11)⋊C4C22semidirect
187. C2×(C22⋊D11)⋊C4C22semidirect
188. C2×(C22⋊D11)⋊C4C22semidirect
189. C2×(C22⋊D11)⋊C4C22semidirect
190. C2×(C22⋊D11)⋊C4C22semidirect
191. C2×(C22⋊D11)⋊C4C22semidirect
192. C2×(C22⋊D11)⋊C4C22semidirect
194. C2×C22⋊C4×D11C22semidirect
195. C2×C22⋊C4×D11C22semidirect
196. C2×C22⋊C4×D11C22semidirect
197. C2×C22⋊C4×D11C22semidirect
198. C2×C22⋊C4×D11C22semidirect
199. C2×#66932C22semidirect
200. C2×#66932C22semidirect
201. C2×#66932C22semidirect
202. C2×#66932C22semidirect
203. C2×#66931C22semidirect
204. C2×#66931C22semidirect
205. C2×#66930C22semidirect
206. C2×#66930C22semidirect
207. C2×#66929C22semidirect
208. C2×#66929C22semidirect
209. C2×#66928C22semidirect
211. C2×C4×D44C22semidirect
212. C2×C4×D44C22semidirect
213. C2×#66925C22semidirect
214. C2×#66925C22semidirect
215. C2×#66925C22semidirect
216. C2×#66925C22semidirect
217. C2×C42×D11C22semidirect
218. C2×C4×Dic22C22semidirect
254. C2×#4341C23semidirect
262. C2×D4×D11C23semidirect
264. C2×#4339C23semidirect
289. C22×C4×D11C23semidirect
295. C22×Dic22C23semidirect
296. C11×#126C23semidirect
297. C11×#126C23semidirect
298. C11×#125C23semidirect
299. C11×#123C23semidirect
300. C11×#123C23semidirect
301. C11×#121C23semidirect
302. C11×#121C23semidirect
303. C11×#121C23semidirect
304. C11×#121C23semidirect
305. C4×D4×C11C23semidirect
306. C4×D4×C11C23semidirect
307. C4×D4×C11C23semidirect
308. C4×D4×C11C23semidirect
309. C11×#117C23semidirect
320. C2×C11×C4⋊C4C23semidirect
344. #66992C23semidirect
345. #66992C23semidirect
346. #66992C23semidirect
347. #66992C23semidirect
348. #66992C23semidirect
349. #66992C23semidirect
350. #66992C23semidirect
351. #66992C23semidirect
355. #66990C23semidirect
356. #66990C23semidirect
357. #66989C23semidirect
358. #66988C23semidirect
359. #66988C23semidirect
360. D4×Dic11C23semidirect
361. D4×Dic11C23semidirect
362. D4×Dic11C23semidirect
363. #66983C23semidirect
364. #66983C23semidirect
365. #66983C23semidirect
366. #66982C23semidirect
367. #66982C23semidirect
369. C4×C22⋊D11C23semidirect
370. C4×C22⋊D11C23semidirect
371. C4×C22⋊D11C23semidirect
372. C4×C22⋊D11C23semidirect
373. C4×C22⋊D11C23semidirect
374. C4×C22⋊D11C23semidirect
375. C4×C22⋊D11C23semidirect
406. C2×(C2×D11)⋊C4C23semidirect
407. C2×(C2×D11)⋊C4C23semidirect
414. #66977C23semidirect
435. C2×Dic11⋊C4C23semidirect
436. C2×Dic11⋊C4C23semidirect
446. #66951C23semidirect
447. #66951C23semidirect
448. #66951C23semidirect
449. #66951C23semidirect
450. #66950C23semidirect
451. #66949C23semidirect
452. #66949C23semidirect
453. #66949C23semidirect
454. #66949C23semidirect
455. #66949C23semidirect
456. #66949C23semidirect
457. #66949C23semidirect
458. #66949C23semidirect
459. #66949C23semidirect
460. #66949C23semidirect
462. #66948C23semidirect
465. #66947C23semidirect
466. #66947C23semidirect
467. #66947C23semidirect
468. #66947C23semidirect
469. #66947C23semidirect
470. #66947C23semidirect
472. #66946C23semidirect
473. #66946C23semidirect
474. #66946C23semidirect
475. #66945C23semidirect
476. #66945C23semidirect
477. #66945C23semidirect
478. C4⋊C4×D11C23semidirect
479. C4⋊C4×D11C23semidirect
480. #66943C23semidirect
481. #66942C23semidirect
482. #66942C23semidirect
483. #66942C23semidirect
484. #66942C23semidirect
485. #66940C23semidirect
486. #66938C23semidirect
487. #66938C23semidirect
488. #66938C23semidirect
489. #66938C23semidirect
492. #66937C23semidirect
493. #66937C23semidirect
496. #66936C23semidirect
497. #66936C23semidirect
498. #66936C23semidirect
499. #66936C23semidirect
502. #66935C23semidirect
503. #66935C23semidirect
505. (C22⋊D11)⋊C4C23semidirect
506. (C22⋊D11)⋊C4C23semidirect
507. (C22⋊D11)⋊C4C23semidirect
508. (C22⋊D11)⋊C4C23semidirect
509. (C22⋊D11)⋊C4C23semidirect
510. (C22⋊D11)⋊C4C23semidirect
511. (C22⋊D11)⋊C4C23semidirect
513. C22⋊C4×D11C23semidirect
514. C22⋊C4×D11C23semidirect
515. C22⋊C4×D11C23semidirect
516. C22⋊C4×D11C23semidirect
517. C22⋊C4×D11C23semidirect
518. #66932C23semidirect
519. #66932C23semidirect
520. #66932C23semidirect
521. #66932C23semidirect
522. #66931C23semidirect
523. #66931C23semidirect
524. #66930C23semidirect
525. #66930C23semidirect
526. #66929C23semidirect
527. #66929C23semidirect
528. #66928C23semidirect
530. C4×D44C23semidirect
531. C4×D44C23semidirect
532. #66925C23semidirect
533. #66925C23semidirect
534. #66925C23semidirect
535. #66925C23semidirect
536. C42×D11C23semidirect
537. C4×Dic22C23semidirect
554. C23×D11#41semidirect
807. C2×#553D11semidirect
880. C22×D11C2×#41semidirect
999. #553C2×D11semidirect
1028. C2×#126C2×D11semidirect
1029. C2×#126C2×D11semidirect
1035. C2×#125C2×D11semidirect
1062. C2×#123C2×D11semidirect
1063. C2×#123C2×D11semidirect
1098. C2×#121C2×D11semidirect
1099. C2×#121C2×D11semidirect
1100. C2×#121C2×D11semidirect
1101. C2×#121C2×D11semidirect
1141. C2×C4×D4C2×D11semidirect
1142. C2×C4×D4C2×D11semidirect
1143. C2×C4×D4C2×D11semidirect
1144. C2×C4×D4C2×D11semidirect
1154. C2×#117C2×D11semidirect
1159. C22×C4⋊C4C2×D11semidirect
1324. #126C22×D11semidirect
1325. #126C22×D11semidirect
1331. #125C22×D11semidirect
1356. #123C22×D11semidirect
1357. #123C22×D11semidirect
1390. #121C22×D11semidirect
1391. #121C22×D11semidirect
1392. #121C22×D11semidirect
1393. #121C22×D11semidirect
1430. C4×D4C22×D11semidirect
1431. C4×D4C22×D11semidirect
1432. C4×D4C22×D11semidirect
1433. C4×D4C22×D11semidirect
1443. #117C22×D11semidirect
1484. C2×C4⋊C4C22×D11semidirect
1560. C2×C11#3505semidirect
1831. C11C2×#3505semidirect
2059. C2#13082449direct (N × H)

Maximal subgroups

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

subgroupindex
#130824492
C2×#106230712
C2×#106230452
C2×#106231322
C2×#106232392
C2×#106232242
C2×#106230872
C2×#106231902
C2×#106232362
C2×#106230582
C2×#106230832
C2×#106231292
C2×#106231852
C2×#106231412
C2×#106232232
C2×#106231912
C2×#106232352
C2×#106231442
C2×#106231362
C2×#106232372
C2×#106230592
C2×#106230782
C2×#106231872
C22×#669492
C2×D11×#1212
C2×#106230762
C2×C4×D4×D112
C2×C11×#5532
C2×#350511