Finite Group Databasebeta

← C2×#13082964 #15661528

Subgroups — C2×#13082964 #15661528

Order 2816.

7430 conjugacy classes of subgroups.

The subgroup lattice has 2036 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082964C2132yesmaximal, direct product factor
2C2×#10623177C211yesmaximal, characteristic, complemented
3C2×#10623198C211yesmaximal, characteristic, complemented
4C2×#10623178C211yesmaximal, characteristic, complemented
5C2×#10623214C211yesmaximal, characteristic, complemented
6C2×#10623063C211yesmaximal, characteristic, complemented
7C2×#10623201C211yesmaximal, characteristic, complemented
8C2×#10623210C211yesmaximal, characteristic, complemented
9C2×#10623087C211yesmaximal, characteristic, complemented
10C2×#10623168C211yesmaximal, characteristic, complemented
11C2×#10623236C211yesmaximal, characteristic, complemented
12C2×#10623236C211yesmaximal, characteristic, complemented
13C2×#10623058C211yesmaximal, characteristic, complemented
14C2×#10623081C211yesmaximal, characteristic, complemented
15C2×#10623207C211yesmaximal, characteristic, complemented
16C2×#10623185C211yesmaximal, characteristic, complemented
17C2×#10623161C211yesmaximal, characteristic, complemented
18C2×#10623264C211yesmaximal, characteristic, complemented
19C2×#10623113C211yesmaximal, characteristic, complemented
20C2×#10623193C211yesmaximal, characteristic, complemented
21C2×#10623175C211yesmaximal, characteristic, complemented
22C2×#10623235C211yesmaximal, characteristic, complemented
23C2×#10623209C211yesmaximal, characteristic, complemented
24C2×#10623144C211yesmaximal, characteristic, complemented
25C2×#10623255C211yesmaximal, characteristic, complemented
26C2×#10623159C211yesmaximal, characteristic, complemented
27C2×#10623184C211yesmaximal, characteristic, complemented
28C2×#10623136C211yesmaximal, characteristic, complemented
29C2×#10623111C211yesmaximal, characteristic, complemented
30C2×#10623237C211yesmaximal, characteristic, complemented
31C2×D11×#124C211yesmaximal, characteristic, complemented
32C2×C11×#542C211yesmaximal, characteristic, complemented
33C22×#4343C2211yescharacteristic
34C22×Q8×D11C2211yescharacteristic, complemented
35C22×D4×D11C2211yescharacteristic
36C22×D4×D11C2211yescharacteristic, complemented
37C22×#4339C2211yescharacteristic
38C23×D44C2211yescharacteristic, complemented
39C11×#542C22116yescomplemented
40C2×C11×C4⋊Q8C2211yescharacteristic, complemented
41C2×C11×#126C2211yescharacteristic, complemented
42C2×C11×#126C2211yescharacteristic, complemented
43C2×C11×#124C2211yescharacteristic, complemented
44C2×C11×#124C2211yescharacteristic, complemented
45C2×C11×#124C2211yescharacteristic, complemented
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×Q8×C11C2211yescharacteristic, complemented
53C2×C4×D4×C11C2211yescharacteristic, complemented
54C2×C11×#117C2211yescharacteristic, complemented
55C2×#67000C2211yescharacteristic, complemented
56C2×#67000C2211yescharacteristic, complemented
57C2×#67000C2211yescharacteristic, complemented
58C2×#67000C2211yescharacteristic, complemented
59C2×#67000C2211yescharacteristic, complemented
60C2×#66999C2211yescharacteristic, complemented
61C2×#66999C2211yescharacteristic, complemented
62C2×#66999C2211yescharacteristic, complemented
63C2×#66999C2211yescharacteristic, complemented
64C2×#66997C2211yescharacteristic, complemented
65C2×#66992C2211yescharacteristic
66C2×#66992C2211yescharacteristic, complemented
67C2×#66992C2211yescharacteristic, complemented
68C2×#66991C2211yescharacteristic, complemented
69C2×#66990C2211yescharacteristic
70C2×#66990C2211yescharacteristic
71C2×#66990C2211yescharacteristic, complemented
72C2×#66990C2211yescharacteristic, complemented
73C2×#66989C2211yescharacteristic, complemented
74C2×#66988C2211yescharacteristic, complemented
75C2×#66983C2211yescharacteristic, complemented
76C2×#66983C2211yescharacteristic, complemented
77C2×#66982C2211yescharacteristic
78C2×#66982C2211yescharacteristic, complemented
79C2×C4×C22⋊D11C2211yescharacteristic, complemented
80C2×C4×C22⋊D11C2211yescharacteristic, complemented
81C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
82C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
83C2×#66977C2211yescharacteristic, complemented
84C2×#66977C2211yescharacteristic, complemented
85#10623264C22116yescomplemented
86#10623255C22116yescomplemented
87#10623237C22116yescomplemented
88#10623236C22116yescomplemented
89#10623236C22116yescomplemented
90#10623235C22116yescomplemented
91#10623214C22116yescomplemented
92#10623210C22116yescomplemented
93#10623209C22116yescomplemented
94#10623207C22116yescomplemented
95D11×#124C22116yescomplemented
96#10623201C22116yescomplemented
97#10623198C22116yescomplemented
98#10623193C22116yescomplemented
99#10623185C22116yescomplemented
100#10623184C22116yescomplemented
101#10623178C22116yescomplemented
102#10623177C22116yescomplemented
103#10623175C22116yescomplemented
104#10623168C22116yescomplemented
105#10623161C22116yescomplemented
106#10623159C22116yescomplemented
107#10623144C22116yescomplemented
108#10623136C22116yescomplemented
109#10623113C22116yescomplemented
110#10623111C22116yescomplemented
111#10623087C22116yescomplemented
112#10623081C22116yescomplemented
113#10623063C22116yescomplemented
114#10623058C22116yescomplemented
115C2×#66951C2211yescharacteristic, complemented
116C2×#66951C2211yescharacteristic, complemented
117C2×#66951C2211yescharacteristic, complemented
118C2×#66951C2211yescharacteristic, complemented
119C2×#66951C2211yescharacteristic, complemented
120C2×#66950C2211yescharacteristic, complemented
121C2×#66950C2211yescharacteristic, complemented
122C2×#66949C2211yescharacteristic, complemented
123C2×#66949C2211yescharacteristic, complemented
124C2×#66949C2211yescharacteristic, complemented
125C2×#66949C2211yescharacteristic, complemented
126C2×#66949C2211yescharacteristic, complemented
127C2×#66949C2211yescharacteristic, complemented
128C2×#66948C2211yescharacteristic
129C2×#66948C2211yescharacteristic
130C2×#66948C2211yescharacteristic
131C2×#66948C2211yescharacteristic, complemented
132C2×#66948C2211yescharacteristic, complemented
133C2×#66947C2211yescharacteristic, complemented
134C2×#66947C2211yescharacteristic, complemented
135C2×#66947C2211yescharacteristic, complemented
136C2×#66947C2211yescharacteristic, complemented
137C2×#66947C2211yescharacteristic, complemented
138C2×#66947C2211yescharacteristic, complemented
139C2×#66947C2211yescharacteristic, complemented
140C2×#66947C2211yescharacteristic, complemented
141C2×#66947C2211yescharacteristic, complemented
142C2×#66947C2211yescharacteristic, complemented
143C2×#66947C2211yescharacteristic, complemented
144C2×#66947C2211yescharacteristic, complemented
145C2×#66946C2211yescharacteristic, complemented
146C2×#66946C2211yescharacteristic, complemented
147C2×#66946C2211yescharacteristic, complemented
148C2×#66945C2211yescharacteristic, complemented
149C2×#66945C2211yescharacteristic, complemented
150C2×#66943C2211yescharacteristic, complemented
151C2×#66942C2211yescharacteristic, complemented
152C2×#66941C2211yescharacteristic, complemented
153C2×#66941C2211yescharacteristic, complemented
154C2×#66940C2211yescharacteristic, complemented
155C2×#66939C2211yescharacteristic, complemented
156C2×#66938C2211yescharacteristic
157C2×#66938C2211yescharacteristic
158C2×#66938C2211yescharacteristic, complemented
159C2×#66938C2211yescharacteristic, complemented
160C2×#66938C2211yescharacteristic, complemented
161C2×#66938C2211yescharacteristic, complemented
162C2×#66938C2211yescharacteristic, complemented
163C2×#66938C2211yescharacteristic, complemented
164C2×#66938C2211yescharacteristic, complemented
165C2×#66937C2211yescharacteristic
166C2×#66937C2211yescharacteristic, complemented
167C2×#66937C2211yescharacteristic, complemented
168C2×#66937C2211yescharacteristic, complemented
169C2×#66937C2211yescharacteristic, complemented
170C2×#66937C2211yescharacteristic, complemented
171C2×#66936C2211yescharacteristic
172C2×#66936C2211yescharacteristic, complemented
173C2×#66936C2211yescharacteristic, complemented
174C2×#66936C2211yescharacteristic, complemented
175C2×#66936C2211yescharacteristic, complemented
176C2×#66936C2211yescharacteristic, complemented
177C2×#66935C2211yescharacteristic
178C2×#66935C2211yescharacteristic
179C2×#66935C2211yescharacteristic
180C2×#66935C2211yescharacteristic
181C2×#66935C2211yescharacteristic, complemented
182C2×#66935C2211yescharacteristic, complemented
183C2×#66935C2211yescharacteristic, complemented
184C2×#66935C2211yescharacteristic, complemented
185C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
186C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
187C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
188C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
189C2×C22⋊C4×D11C2211yescharacteristic, complemented
190C2×C22⋊C4×D11C2211yescharacteristic, complemented
191C2×C22⋊C4×D11C2211yescharacteristic, complemented
192C2×C22⋊C4×D11C2211yescharacteristic, complemented
193C2×C22⋊C4×D11C2211yescharacteristic, complemented
194C2×C22⋊C4×D11C2211yescharacteristic, complemented
195C2×C22⋊C4×D11C2211yescharacteristic, complemented
196C2×C22⋊C4×D11C2211yescharacteristic, complemented
197C2×#66932C2211yescharacteristic, complemented
198C2×#66932C2211yescharacteristic, complemented
199C2×#66932C2211yescharacteristic, complemented
200C2×#66931C2211yescharacteristic, complemented
201C2×#66930C2211yescharacteristic, complemented
202C2×#66930C2211yescharacteristic, complemented
203C2×#66929C2211yescharacteristic, complemented
204C2×#66929C2211yescharacteristic, complemented
205C2×#66928C2211yescharacteristic, complemented
206C2×#66928C2211yescharacteristic, complemented
207C2×#66928C2211yescharacteristic, complemented
208C2×#66928C2211yescharacteristic, complemented
209C2×C4×D44C2211yescharacteristic, complemented
210C2×C4×D44C2211yescharacteristic, complemented
211C2×C4×D44C2211yescharacteristic, complemented
212C2×C4×D44C2211yescharacteristic, complemented
213C2×#66925C2211yescharacteristic, complemented
214C2×#66925C2211yescharacteristic, complemented
215C2×#66925C2211yescharacteristic, complemented
216C2×#66925C2211yescharacteristic, complemented
217C2×#66925C2211yescharacteristic, complemented
218C2×C42×D11C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C24×D11C2311yescharacteristic
222C24×D11C2311yescharacteristic
223C22×Q8×C11C2311yescharacteristic
224C22×Q8×C11C2311yescharacteristic
225C22×Q8×C11C2311yescharacteristic
226C22×D4×C11C2311yescharacteristic
227C22×D4×C11C2311yescharacteristic
228C22×D4×C11C2311yescharacteristic
229C23×C4×C11C2311yescharacteristic
230C23×C4×C11C2311yescharacteristic
231C23×C4×C11C2311yescharacteristic
232C22×C22⋊D11C2311yescharacteristic
233C22×C22⋊D11C2311yescharacteristic
234C22×C22⋊D11C2311yescharacteristic
235C22×C22⋊D11C2311yescharacteristic
236C22×C22⋊D11C2311yescharacteristic
237C22×C22⋊D11C2311yescharacteristic
238C22×C22⋊D11C2311yescharacteristic
239C22×C22⋊D11C2311yescharacteristic
240C22×C22⋊D11C2311yescharacteristic
241C22×C22⋊D11C2311yescharacteristic
242C23×Dic11C2311yescharacteristic
243C23×Dic11C2311yescharacteristic
244C2×#4343—44no—
245C2×#4343C2318yes—
246C2×Q8×D11—44no—
247C2×Q8×D11C2318yescomplemented
248C2×D4×D11—44no—
249C2×D4×D11—44no—
250C2×D4×D11C2318yes—
251C2×D4×D11C2318yescomplemented
252C2×#4339—44no—
253C2×#4339C2318yes—
254C22×D44—44no—
255C22×D44C2311yescharacteristic
256C22×D44C2311yescharacteristic
257C22×D44C2311yescharacteristic
258C22×D44C2311yescharacteristic
259C22×D44C2311yescharacteristic
260C22×D44C2311yescharacteristic
261C22×D44C2311yescharacteristic
262C22×D44C2311yescharacteristic
263C22×D44C2311yescharacteristic
264C22×D44C2311yescharacteristic
265C22×D44C2311yescharacteristic
266C22×D44C2318yescomplemented
267C22×C4×D11C2311yescharacteristic
268C22×C4×D11C2311yescharacteristic
269C22×C4×D11C2311yescharacteristic
270C22×C4×D11C2311yescharacteristic
271C22×C4×D11C2311yescharacteristic
272C22×C4×D11C2311yescharacteristic
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×Dic22C2311yescharacteristic
282C22×Dic22C2311yescharacteristic
283C22×Dic22C2311yescharacteristic
284C22×Dic22C2311yescharacteristic
285C22×Dic22C2311yescharacteristic
286C11×C4⋊Q8C2318yescomplemented
287C11×#126C2318yescomplemented
288C11×#126C2318yescomplemented
289C11×#124C2318yescomplemented
290C11×#124C2318yescomplemented
291C11×#124C2318yescomplemented
292C11×#123C2318yescomplemented
293C11×#123C2318yescomplemented
294C11×C22⋊Q8C2318yescomplemented
295C11×C22⋊Q8C2318yescomplemented
296C11×C22⋊Q8C2318yescomplemented
297C11×#121C2318yes—
298C4×Q8×C11C2318yescomplemented
299C4×D4×C11C2318yescomplemented
300C11×#117C2318yescomplemented
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⋊C4C2311yescharacteristic
309C2×C11×C4⋊C4C2311yescharacteristic
310C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
320C2×C11×C22⋊C4C2311yescharacteristic
321C2×C11×C22⋊C4C2311yescharacteristic
322C2×C11×C22⋊C4C2311yescharacteristic
323C2×C42×C11C2311yescharacteristic
324C2×C42×C11C2311yescharacteristic
325C2×C42×C11C2311yescharacteristic
326C2×C42×C11C2311yescharacteristic
327C2×C22⋊Dic11C2311yescharacteristic
328C2×C22⋊Dic11C2311yescharacteristic
329C2×C22⋊Dic11C2311yescharacteristic
330C2×C22⋊Dic11C2311yescharacteristic
331C2×C22⋊Dic11C2311yescharacteristic
332C2×C22⋊Dic11C2311yescharacteristic
333C2×C22⋊Dic11C2311yescharacteristic
334C2×C22⋊Dic11C2311yescharacteristic
335#67000C2318yescomplemented
336#67000C2318yescomplemented
337#67000C2318yescomplemented
338#67000C2318yescomplemented
339#67000C2318yescomplemented
340#66999C2318yescomplemented
341#66999C2318yescomplemented
342#66999C2318yescomplemented
343#66999C2318yescomplemented
344#66997C2318yescomplemented
345#66992C2318yes—
346#66992C2318yescomplemented
347#66992C2318yescomplemented
348#66991C2318yescomplemented
349#66990C2318yes—
350#66990C2318yes—
351#66990C2318yescomplemented
352#66990C2318yescomplemented
353#66989C2318yescomplemented
354#66988C2318yescomplemented
355#66983C2318yescomplemented
356#66983C2318yescomplemented
357#66982C2318yes—
358#66982C2318yescomplemented
359C4×C22⋊D11C2318yescomplemented
360C4×C22⋊D11C2318yescomplemented
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)⋊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)⋊C4C2318yescomplemented
398C2×(C2×D11)⋊C4C2318yescomplemented
399C2×C4⋊Dic11C2311yescharacteristic
400C2×C4⋊Dic11C2311yescharacteristic
401C2×C4⋊Dic11C2311yescharacteristic
402C2×C4⋊Dic11C2311yescharacteristic
403C2×C4⋊Dic11C2311yescharacteristic
404C2×C4⋊Dic11C2311yescharacteristic
405#66977C2318yescomplemented
406#66977C2318yescomplemented
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#66951C2318yescomplemented
435#66951C2318yescomplemented
436#66950C2318yescomplemented
437#66950C2318yescomplemented
438#66949C2318yescomplemented
439#66949C2318yescomplemented
440#66949C2318yescomplemented
441#66949C2318yescomplemented
442#66949C2318yescomplemented
443#66949C2318yescomplemented
444#66948C2318yes—
445#66948C2318yes—
446#66948C2318yes—
447#66948C2318yescomplemented
448#66948C2318yescomplemented
449#66947C2318yescomplemented
450#66947C2318yescomplemented
451#66947C2318yescomplemented
452#66947C2318yescomplemented
453#66947C2318yescomplemented
454#66947C2318yescomplemented
455#66947C2318yescomplemented
456#66947C2318yescomplemented
457#66947C2318yescomplemented
458#66947C2318yescomplemented
459#66947C2318yescomplemented
460#66947C2318yescomplemented
461#66946C2318yescomplemented
462#66946C2318yescomplemented
463#66946C2318yescomplemented
464#66945C2318yescomplemented
465#66945C2318yescomplemented
466#66943C2318yescomplemented
467#66942C2318yescomplemented
468#66941C2318yescomplemented
469#66941C2318yescomplemented
470#66940C2318yescomplemented
471#66939C2318yescomplemented
472#66938C2318yes—
473#66938C2318yes—
474#66938C2318yescomplemented
475#66938C2318yescomplemented
476#66938C2318yescomplemented
477#66938C2318yescomplemented
478#66938C2318yescomplemented
479#66938C2318yescomplemented
480#66938C2318yescomplemented
481#66937C2318yes—
482#66937C2318yescomplemented
483#66937C2318yescomplemented
484#66937C2318yescomplemented
485#66937C2318yescomplemented
486#66937C2318yescomplemented
487#66936C2318yes—
488#66936C2318yescomplemented
489#66936C2318yescomplemented
490#66936C2318yescomplemented
491#66936C2318yescomplemented
492#66936C2318yescomplemented
493#66935C2318yes—
494#66935C2318yes—
495#66935C2318yes—
496#66935C2318yes—
497#66935C2318yescomplemented
498#66935C2318yescomplemented
499#66935C2318yescomplemented
500#66935C2318yescomplemented
501(C22⋊D11)⋊C4C2318yescomplemented
502(C22⋊D11)⋊C4C2318yescomplemented
503(C22⋊D11)⋊C4C2318yescomplemented
504(C22⋊D11)⋊C4C2318yescomplemented
505C22⋊C4×D11C2318yescomplemented
506C22⋊C4×D11C2318yescomplemented
507C22⋊C4×D11C2318yescomplemented
508C22⋊C4×D11C2318yescomplemented
509C22⋊C4×D11C2318yescomplemented
510C22⋊C4×D11C2318yescomplemented
511C22⋊C4×D11C2318yescomplemented
512C22⋊C4×D11C2318yescomplemented
513#66932C2318yescomplemented
514#66932C2318yescomplemented
515#66932C2318yescomplemented
516#66931C2318yescomplemented
517#66930C2318yescomplemented
518#66930C2318yescomplemented
519#66929C2318yescomplemented
520#66929C2318yescomplemented
521#66928C2318yescomplemented
522#66928C2318yescomplemented
523#66928C2318yescomplemented
524#66928C2318yescomplemented
525C4×D44C2318yescomplemented
526C4×D44C2318yescomplemented
527C4×D44C2318yescomplemented
528C4×D44C2318yescomplemented
529#66925C2318yescomplemented
530#66925C2318yescomplemented
531#66925C2318yescomplemented
532#66925C2318yescomplemented
533#66925C2318yescomplemented
534C42×D11C2318yescomplemented
535C2×#3545—111nomaximal, Sylow
536C24×C11C2411yescharacteristic
537C24×C11C2411yescharacteristic
538C24×C11C2411yescharacteristic
539C23×D11—24no—
540C23×D11—24no—
541C23×D11—42no—
542C23×D11—42no—
543C23×D11—42no—
544C23×D11—42no—
545C23×D11—42no—
546C23×D11—42no—
547C23×D11—42no—
548C23×D11—42no—
549C23×D11—42no—
550C23×D11—42no—
551C23×D11C2411yescharacteristic
552C23×D11C2411yescharacteristic
553C23×D11C2411yescharacteristic
554C23×D11C2411yescharacteristic
555C23×D11C2411yescharacteristic
556C23×D11C2411yescharacteristic
557C23×D11C2414yes—
558C23×D11C2414yes—
559C23×D11C2414yes—
560C23×D11C2414yes—
561C2×Q8×C11—42no—
562C2×Q8×C11—42no—
563C2×Q8×C11—42no—
564C2×Q8×C11C2414yes—
565C2×Q8×C11C2414yes—
566C2×Q8×C11C2414yes—
567C2×D4×C11—42no—
568C2×D4×C11—42no—
569C2×D4×C11—42no—
570C2×D4×C11C2414yes—
571C2×D4×C11C2414yes—
572C2×D4×C11C2414yes—
573C22×C4×C11—42no—
574C22×C4×C11—42no—
575C22×C4×C11—42no—
576C22×C4×C11C2411yescharacteristic
577C22×C4×C11C2411yescharacteristic
578C22×C4×C11C2411yescharacteristic
579C22×C4×C11C2411yescharacteristic
580C22×C4×C11C2411yescharacteristic
581C22×C4×C11C2411yescharacteristic
582C22×C4×C11C2411yescharacteristic
583C22×C4×C11C2411yescharacteristic
584C22×C4×C11C2411yescharacteristic
585C22×C4×C11C2411yescharacteristic
586C22×C4×C11C2411yescharacteristic
587C22×C4×C11C2411yescharacteristic
588C22×C4×C11C2414yes—
589C22×C4×C11C2414yes—
590C22×C4×C11C2414yes—
591C2×C22⋊D11—24no—
592C2×C22⋊D11—42no—
593C2×C22⋊D11—42no—
594C2×C22⋊D11—42no—
595C2×C22⋊D11—42no—
596C2×C22⋊D11—42no—
597C2×C22⋊D11—42no—
598C2×C22⋊D11—42no—
599C2×C22⋊D11—42no—
600C2×C22⋊D11—42no—
601C2×C22⋊D11C2414yes—
602C2×C22⋊D11C2414yes—
603C2×C22⋊D11C2414yes—
604C2×C22⋊D11C2414yes—
605C2×C22⋊D11C2414yes—
606C2×C22⋊D11C2414yes—
607C2×C22⋊D11C2414yes—
608C2×C22⋊D11C2414yes—
609C2×C22⋊D11C2414yes—
610C2×C22⋊D11C2414yes—
611C22×Dic11—42no—
612C22×Dic11—42no—
613C22×Dic11C2411yescharacteristic
614C22×Dic11C2411yescharacteristic
615C22×Dic11C2411yescharacteristic
616C22×Dic11C2411yescharacteristic
617C22×Dic11C2411yescharacteristic
618C22×Dic11C2411yescharacteristic
619C22×Dic11C2411yescharacteristic
620C22×Dic11C2411yescharacteristic
621C22×Dic11C2411yescharacteristic
622C22×Dic11C2411yescharacteristic
623C22×Dic11C2414yes—
624C22×Dic11C2414yes—
625#4343—416no—
626Q8×D11—416no—
627D4×D11—416no—
628D4×D11—416no—
629#4339—416no—
630C2×D44—24no—
631C2×D44—24no—
632C2×D44—24no—
633C2×D44—42no—
634C2×D44—42no—
635C2×D44—42no—
636C2×D44—42no—
637C2×D44—42no—
638C2×D44—42no—
639C2×D44—42no—
640C2×D44—42no—
641C2×D44—416no—
642C2×D44C2414yes—
643C2×D44C2414yes—
644C2×D44C2414yes—
645C2×D44C2414yes—
646C2×D44C2414yes—
647C2×D44C2414yes—
648C2×D44C2414yes—
649C2×D44C2414yes—
650C2×D44C2414yes—
651C2×D44C2414yes—
652C2×D44C2414yes—
653C2×C4×D11—24no—
654C2×C4×D11—24no—
655C2×C4×D11—24no—
656C2×C4×D11—42no—
657C2×C4×D11—42no—
658C2×C4×D11—42no—
659C2×C4×D11—42no—
660C2×C4×D11—42no—
661C2×C4×D11—42no—
662C2×C4×D11—42no—
663C2×C4×D11—42no—
664C2×C4×D11—42no—
665C2×C4×D11—42no—
666C2×C4×D11—42no—
667C2×C4×D11C2414yes—
668C2×C4×D11C2414yes—
669C2×C4×D11C2414yes—
670C2×C4×D11C2414yes—
671C2×C4×D11C2414yes—
672C2×C4×D11C2414yes—
673C2×C4×D11C2414yes—
674C2×C4×D11C2414yes—
675C2×C4×D11C2414yes—
676C2×C4×D11C2414yes—
677C2×C4×D11C2414yes—
678C2×C4×D11C2414yes—
679C2×C4×D11C2414yes—
680C2×C4×D11C2414yes—
681C2×Dic22—42no—
682C2×Dic22—42no—
683C2×Dic22—42no—
684C2×Dic22—42no—
685C2×Dic22—42no—
686C2×Dic22C2414yes—
687C2×Dic22C2414yes—
688C2×Dic22C2414yes—
689C2×Dic22C2414yes—
690C2×Dic22C2414yes—
691C11×C4⋊C4C2414yes—
692C11×C4⋊C4C2414yes—
693C11×C4⋊C4C2414yes—
694C11×C4⋊C4C2414yes—
695C11×C4⋊C4C2414yes—
696C11×C4⋊C4C2414yes—
697C11×C4⋊C4C2414yes—
698C11×C4⋊C4C2414yes—
699C11×C4⋊C4C2414yes—
700C11×C4⋊C4C2414yes—
701C11×C22⋊C4C2414yes—
702C11×C22⋊C4C2414yes—
703C11×C22⋊C4C2414yes—
704C11×C22⋊C4C2414yes—
705C11×C22⋊C4C2414yes—
706C11×C22⋊C4C2414yes—
707C11×C22⋊C4C2414yes—
708C11×C22⋊C4C2414yes—
709C11×C22⋊C4C2414yes—
710C11×C22⋊C4C2414yes—
711C11×C22⋊C4C2414yes—
712C11×C22⋊C4C2414yes—
713C42×C11C2414yes—
714C42×C11C2414yes—
715C42×C11C2414yes—
716C42×C11C2414yes—
717C22⋊Dic11C2414yes—
718C22⋊Dic11C2414yes—
719C22⋊Dic11C2414yes—
720C22⋊Dic11C2414yes—
721C22⋊Dic11C2414yes—
722C22⋊Dic11C2414yes—
723C22⋊Dic11C2414yes—
724C22⋊Dic11C2414yes—
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—
737(C2×D11)⋊C4C2414yes—
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—
761C4⋊Dic11C2414yes—
762C4⋊Dic11C2414yes—
763C4⋊Dic11C2414yes—
764C4⋊Dic11C2414yes—
765C4⋊Dic11C2414yes—
766C4⋊Dic11C2414yes—
767Dic11⋊C4C2414yes—
768Dic11⋊C4C2414yes—
769Dic11⋊C4C2414yes—
770Dic11⋊C4C2414yes—
771Dic11⋊C4C2414yes—
772Dic11⋊C4C2414yes—
773Dic11⋊C4C2414yes—
774Dic11⋊C4C2414yes—
775Dic11⋊C4C2414yes—
776Dic11⋊C4C2414yes—
777Dic11⋊C4C2414yes—
778Dic11⋊C4C2414yes—
779Dic11⋊C4C2414yes—
780Dic11⋊C4C2414yes—
781Dic11⋊C4C2414yes—
782Dic11⋊C4C2414yes—
783C4×Dic11C2414yes—
784C4×Dic11C2414yes—
785C4×Dic11C2414yes—
786C4×Dic11C2414yes—
787C4×Dic11C2414yes—
788C4×Dic11C2414yes—
789C4×Dic11C2414yes—
790C4×Dic11C2414yes—
791#3545—1132no—
792C2×#563—111no—
793C2×#562—111no—
794C2×#562—111no—
795C2×H(3,𝔽4)—111no—
796C2×#555—111no—
797C2×#555—111no—
798C2×#551—111no—
799C2×#551—111no—
800C2×#551—111no—
801C2×#551—111no—
802C2×#551—111no—
803C2×#551—111no—
804C2×#546—111no—
805C2×#546—111no—
806C2×#546—111no—
807C2×#546—111no—
808C2×#542—111no—
809C2×#542—111no—
810C2×#542—111no—
811C2×#542D1111yescharacteristic, complemented
812C2×#538—111no—
813C2×#538—111no—
814C2×#538—111no—
815C2×#538—111no—
816C2×#536—111no—
817C2×#536—111no—
818C2×#534—111no—
819C2×#534—111no—
820C2×#529—111no—
821C2×#529—111no—
822C22×#124—111no—
823C23×C11—22no—
824C23×C11—22no—
825C23×C11—22no—
826C23×C11—22no—
827C23×C11—22no—
828C23×C11—22no—
829C23×C11—22no—
830C23×C11—22no—
831C23×C11—22no—
832C23×C11C2512yes—
833C23×C11C2512yes—
834C23×C11C2512yes—
835C23×C11C2511yescharacteristic
836C22×D11—22no—
837C22×D11—22no—
838C22×D11—22no—
839C22×D11—22no—
840C22×D11—22no—
841C22×D11—22no—
842C22×D11—22no—
843C22×D11—22no—
844C22×D11—22no—
845C22×D11—22no—
846C22×D11—22no—
847C22×D11—22no—
848C22×D11—22no—
849C22×D11—22no—
850C22×D11—22no—
851C22×D11—22no—
852C22×D11—22no—
853C22×D11—28no—
854C22×D11—28no—
855C22×D11—44no—
856C22×D11—44no—
857C22×D11—44no—
858C22×D11—44no—
859C22×D11—44no—
860C22×D11—44no—
861C22×D11—44no—
862C22×D11—44no—
863C22×D11—44no—
864C22×D11—44no—
865C22×D11—88no—
866C22×D11—88no—
867C22×D11—88no—
868C22×D11—88no—
869C22×D11H(5,𝔽2)14yes—
870C22×D11C2512yes—
871C22×D11C2512yes—
872C22×D11C2512yes—
873C22×D11C2512yes—
874C22×D11C2512yes—
875C22×D11C2512yes—
876Q8×C11—44no—
877Q8×C11—44no—
878Q8×C11—44no—
879D4×C11—44no—
880D4×C11—44no—
881D4×C11—44no—
882C2×C4×C11—22no—
883C2×C4×C11—22no—
884C2×C4×C11—22no—
885C2×C4×C11—22no—
886C2×C4×C11—22no—
887C2×C4×C11—22no—
888C2×C4×C11—22no—
889C2×C4×C11—22no—
890C2×C4×C11—22no—
891C2×C4×C11—22no—
892C2×C4×C11—22no—
893C2×C4×C11—22no—
894C2×C4×C11—44no—
895C2×C4×C11—44no—
896C2×C4×C11—44no—
897C2×C4×C11C2512yes—
898C2×C4×C11C2512yes—
899C2×C4×C11C2512yes—
900C2×C4×C11C2512yes—
901C2×C4×C11C2512yes—
902C2×C4×C11C2512yes—
903C2×C4×C11C2512yes—
904C2×C4×C11C2512yes—
905C2×C4×C11C2512yes—
906C2×C4×C11C2512yes—
907C2×C4×C11C2512yes—
908C2×C4×C11C2512yes—
909C22⋊D11—28no—
910C22⋊D11—44no—
911C22⋊D11—44no—
912C22⋊D11—44no—
913C22⋊D11—44no—
914C22⋊D11—44no—
915C22⋊D11—44no—
916C22⋊D11—44no—
917C22⋊D11—44no—
918C22⋊D11—44no—
919C2×Dic11—22no—
920C2×Dic11—22no—
921C2×Dic11—22no—
922C2×Dic11—22no—
923C2×Dic11—22no—
924C2×Dic11—22no—
925C2×Dic11—22no—
926C2×Dic11—22no—
927C2×Dic11—22no—
928C2×Dic11—22no—
929C2×Dic11—44no—
930C2×Dic11—44no—
931C2×Dic11C2512yes—
932C2×Dic11C2512yes—
933C2×Dic11C2512yes—
934C2×Dic11C2512yes—
935C2×Dic11C2512yes—
936C2×Dic11C2512yes—
937C2×Dic11C2512yes—
938C2×Dic11C2512yes—
939C2×Dic11C2512yes—
940C2×Dic11C2512yes—
941D44—28no—
942D44—28no—
943D44—28no—
944D44—44no—
945D44—44no—
946D44—44no—
947D44—44no—
948D44—44no—
949D44—44no—
950D44—44no—
951D44—44no—
952C4×D11—28no—
953C4×D11—28no—
954C4×D11—28no—
955C4×D11—44no—
956C4×D11—44no—
957C4×D11—44no—
958C4×D11—44no—
959C4×D11—44no—
960C4×D11—44no—
961C4×D11—44no—
962C4×D11—44no—
963C4×D11—44no—
964C4×D11—44no—
965C4×D11—44no—
966Dic22—44no—
967Dic22—44no—
968Dic22—44no—
969Dic22—44no—
970Dic22—44no—
971C22×#41—111no—
972C22×#41—111no—
973C23×Q8—111no—
974C23×D4—111no—
975C23×D4—111no—
976C23×D4—111no—
977#563—1116no—
978#562—1116no—
979#562—1116no—
980H(3,𝔽4)—1116no—
981#555—1116no—
982#555—1116no—
983#551—1116no—
984#551—1116no—
985#551—1116no—
986#551—1116no—
987#551—1116no—
988#551—1116no—
989#546—1116no—
990#546—1116no—
991#546—1116no—
992#546—1116no—
993#542—1116no—
994#542—1116no—
995#542—1116no—
996#542C2×D11116yescomplemented
997#538—1116no—
998#538—1116no—
999#538—1116no—
1000#538—1116no—
1001#536—1116no—
1002#536—1116no—
1003#534—1116no—
1004#534—1116no—
1005C2×C4⋊Q8—111no—
1006C2×C4⋊Q8—111no—
1007C2×C4⋊Q8—111no—
1008C2×C4⋊Q8C2×D1111yescharacteristic, complemented
1009#529—1116no—
1010#529—1116no—
1011C2×#126—111no—
1012C2×#126—111no—
1013C2×#126—111no—
1014C2×#126—111no—
1015C2×#126—111no—
1016C2×#126—111no—
1017C2×#126—111no—
1018C2×#126—111no—
1019C2×#126—111no—
1020C2×#126—111no—
1021C2×#126C2×D1111yescharacteristic, complemented
1022C2×#126C2×D1111yescharacteristic, complemented
1023C2×#125—111no—
1024C2×#125—111no—
1025C2×#124—111no—
1026C2×#124—111no—
1027C2×#124—111no—
1028C2×#124—111no—
1029C2×#124—111no—
1030C2×#124—111no—
1031C2×#124—1116no—
1032C2×#124—111no—
1033C2×#124—111no—
1034C2×#124—111no—
1035C2×#124—111no—
1036C2×#124—111no—
1037C2×#124—111no—
1038C2×#124—111no—
1039C2×#124—111no—
1040C2×#124—111no—
1041C2×#124—111no—
1042C2×#124—111no—
1043C2×#124—111no—
1044C2×#124—111no—
1045C2×#124C2×D1111yescharacteristic, complemented
1046C2×#124C2×D1111yescharacteristic, complemented
1047C2×#124C2×D1111yescharacteristic, complemented
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×#123—111no—
1063C2×#123—111no—
1064C2×#123—111no—
1065C2×#123—111no—
1066C2×#123—111no—
1067C2×#123—111no—
1068C2×#123—111no—
1069C2×#123—111no—
1070C2×#123C2×D1111yescharacteristic, complemented
1071C2×#123C2×D1111yescharacteristic, complemented
1072C2×C22⋊Q8—111no—
1073C2×C22⋊Q8—111no—
1074C2×C22⋊Q8—111no—
1075C2×C22⋊Q8—111no—
1076C2×C22⋊Q8—111no—
1077C2×C22⋊Q8—111no—
1078C2×C22⋊Q8—111no—
1079C2×C22⋊Q8—111no—
1080C2×C22⋊Q8—111no—
1081C2×C22⋊Q8—111no—
1082C2×C22⋊Q8—111no—
1083C2×C22⋊Q8—111no—
1084C2×C22⋊Q8—111no—
1085C2×C22⋊Q8—111no—
1086C2×C22⋊Q8—111no—
1087C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1088C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1089C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1090C2×#121—111no—
1091C2×#121—111no—
1092C2×#121—111no—
1093C2×#121—111no—
1094C2×#121—111no—
1095C2×#121—111no—
1096C2×#121—111no—
1097C2×#121—111no—
1098C2×#121—111no—
1099C2×#121—111no—
1100C2×#121—111no—
1101C2×#121—111no—
1102C2×#121—111no—
1103C2×#121—111no—
1104C2×#121—111no—
1105C2×#121—111no—
1106C2×#121—111no—
1107C2×#121C2×D1111yescharacteristic
1108C2×#120—111no—
1109C2×#120—111no—
1110C2×#120—111no—
1111C2×#120—111no—
1112C2×#120—111no—
1113C2×#120—111no—
1114C2×#120—111no—
1115C2×#120—111no—
1116C2×#120—111no—
1117C2×#120—111no—
1118C2×#120—111no—
1119C2×#120—111no—
1120C2×C4×Q8—111no—
1121C2×C4×Q8C2×D1111yescharacteristic, complemented
1122C2×C4×D4—111no—
1123C2×C4×D4—111no—
1124C2×C4×D4—111no—
1125C2×C4×D4—111no—
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×D4C2×D1111yescharacteristic, complemented
1136C2×#117—111no—
1137C2×#117—111no—
1138C2×#117—111no—
1139C2×#117—111no—
1140C2×#117—111no—
1141C2×#117—111no—
1142C2×#117—111no—
1143C2×#117—111no—
1144C2×#117—111no—
1145C2×#117C2×D1111yescharacteristic, complemented
1146C22×C22⋊C4—111no—
1147C22×C22⋊C4—111no—
1148C22×C22⋊C4—111no—
1149C22×C22⋊C4—111no—
1150C22×C22⋊C4—111no—
1151C22×C22⋊C4—111no—
1152C22×C22⋊C4—111no—
1153C22×C22⋊C4—111no—
1154C22×C22⋊C4—111no—
1155C22×C22⋊C4—111no—
1156C22×C42—111no—
1157C22×C11—22no—
1158C22×C11—22no—
1159C22×C11—22no—
1160C22×C11—22no—
1161C22×C11—22no—
1162C22×C11—22no—
1163C22×C11—22no—
1164C22×C11—22no—
1165C22×C11—22no—
1166C22×C11—44no—
1167C22×C11—44no—
1168C22×C11—44no—
1169C22×C11C2×H(5,𝔽2)12yes—
1170C22×C11#58512yes—
1171C22×C11#58512yes—
1172C22×C11C2611yescharacteristic
1173C2×D11—22no—
1174C2×D11—22no—
1175C2×D11—28no—
1176C2×D11—22no—
1177C2×D11—22no—
1178C2×D11—22no—
1179C2×D11—22no—
1180C2×D11—22no—
1181C2×D11—22no—
1182C2×D11—22no—
1183C2×D11—22no—
1184C2×D11—22no—
1185C2×D11—22no—
1186C2×D11—22no—
1187C2×D11—22no—
1188C2×D11—22no—
1189C2×D11—22no—
1190C2×D11—22no—
1191C2×D11—44no—
1192C2×D11—44no—
1193C2×D11—44no—
1194C2×D11—44no—
1195C2×D11—44no—
1196C2×D11—88no—
1197C2×D11—88no—
1198C2×D11—88no—
1199C2×D11—88no—
1200C2×D11C2×H(5,𝔽2)14yes—
1201C4×C11—22no—
1202C4×C11—22no—
1203C4×C11—22no—
1204C4×C11—22no—
1205C4×C11—22no—
1206C4×C11—22no—
1207C4×C11—22no—
1208C4×C11—22no—
1209C4×C11—22no—
1210C4×C11—22no—
1211C4×C11—22no—
1212C4×C11—22no—
1213Dic11—22no—
1214Dic11—22no—
1215Dic11—22no—
1216Dic11—22no—
1217Dic11—22no—
1218Dic11—22no—
1219Dic11—22no—
1220Dic11—22no—
1221Dic11—22no—
1222Dic11—22no—
1223C25—111no—
1224C25—111no—
1225C25—111no—
1226C25—111no—
1227C2×#41—118no—
1228C2×#41—118no—
1229C2×#41—444no—
1230C2×#41—444no—
1231C22×Q8—118no—
1232C22×Q8—111no—
1233C22×Q8—111no—
1234C22×Q8—111no—
1235C22×Q8—111no—
1236C22×Q8—111no—
1237C22×Q8—444no—
1238C22×Q8C22×D1111yescharacteristic
1239C22×Q8C22×D1111yescharacteristic
1240C22×Q8C22×D1111yescharacteristic
1241C22×D4—111no—
1242C22×D4—111no—
1243C22×D4—111no—
1244C22×D4—111no—
1245C22×D4—111no—
1246C22×D4—111no—
1247C22×D4—111no—
1248C22×D4—111no—
1249C22×D4—111no—
1250C22×D4—111no—
1251C22×D4—118no—
1252C22×D4—118no—
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—111no—
1264C22×D4—118no—
1265C22×D4—444no—
1266C22×D4—444no—
1267C22×D4—444no—
1268C22×D4C22×D1111yescharacteristic
1269C22×D4C22×D1111yescharacteristic
1270C22×D4C22×D1111yescharacteristic
1271C23×C4—111no—
1272C23×C4—111no—
1273C23×C4—111no—
1274C23×C4—111no—
1275C23×C4—111no—
1276C23×C4—111no—
1277C23×C4—111no—
1278C23×C4—111no—
1279C23×C4—111no—
1280C23×C4—111no—
1281C23×C4—111no—
1282C23×C4—111no—
1283C23×C4—111no—
1284C23×C4—111no—
1285C23×C4—111no—
1286C23×C4—111no—
1287C23×C4C22×D1111yescharacteristic
1288C23×C4C22×D1111yescharacteristic
1289C23×C4C22×D1111yescharacteristic
1290C4⋊Q8—118no—
1291C4⋊Q8—118no—
1292C4⋊Q8—118no—
1293C4⋊Q8C22×D1118yescomplemented
1294#126—118no—
1295#126—118no—
1296#126—118no—
1297#126—118no—
1298#126—118no—
1299#126—118no—
1300#126—118no—
1301#126—118no—
1302#126—118no—
1303#126—118no—
1304#126C22×D1118yescomplemented
1305#126C22×D1118yescomplemented
1306#125—118no—
1307#125—118no—
1308#124—118no—
1309#124—118no—
1310#124—118no—
1311#124—118no—
1312#124—118no—
1313#124—118no—
1314#124—118no—
1315#124—118no—
1316#124—118no—
1317#124—118no—
1318#124—118no—
1319#124—118no—
1320#124—118no—
1321#124—118no—
1322#124—118no—
1323#124—118no—
1324#124—118no—
1325#124—118no—
1326#124—118no—
1327#124C22×D1118yescomplemented
1328#124C22×D1118yescomplemented
1329#124C22×D1118yescomplemented
1330#123—118no—
1331#123—118no—
1332#123—118no—
1333#123—118no—
1334#123—118no—
1335#123—118no—
1336#123—118no—
1337#123—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#123C22×D1118yescomplemented
1353#123C22×D1118yescomplemented
1354C22⋊Q8—118no—
1355C22⋊Q8—118no—
1356C22⋊Q8—118no—
1357C22⋊Q8—118no—
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⋊Q8C22×D1118yescomplemented
1370C22⋊Q8C22×D1118yescomplemented
1371C22⋊Q8C22×D1118yescomplemented
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#121C22×D1118yes—
1390#120—118no—
1391#120—118no—
1392#120—118no—
1393#120—118no—
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×Q8C22×D1118yescomplemented
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×D4C22×D1118yescomplemented
1418#117—118no—
1419#117—118no—
1420#117—118no—
1421#117—118no—
1422#117—118no—
1423#117—118no—
1424#117—118no—
1425#117—118no—
1426#117—118no—
1427#117C22×D1118yescomplemented
1428C2×C4⋊C4—111no—
1429C2×C4⋊C4—111no—
1430C2×C4⋊C4—111no—
1431C2×C4⋊C4—111no—
1432C2×C4⋊C4—111no—
1433C2×C4⋊C4—111no—
1434C2×C4⋊C4—111no—
1435C2×C4⋊C4—111no—
1436C2×C4⋊C4—111no—
1437C2×C4⋊C4—111no—
1438C2×C4⋊C4—111no—
1439C2×C4⋊C4—111no—
1440C2×C4⋊C4—111no—
1441C2×C4⋊C4—111no—
1442C2×C4⋊C4—111no—
1443C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1451C2×C4⋊C4C22×D1111yescharacteristic
1452C2×C4⋊C4C22×D1111yescharacteristic
1453C2×C4⋊C4C22×D1111yescharacteristic
1454C2×C4⋊C4C22×D1111yescharacteristic
1455C2×C4⋊C4C22×D1111yescharacteristic
1456C2×C4⋊C4C22×D1111yescharacteristic
1457C2×C4⋊C4C22×D1111yescharacteristic
1458C2×C4⋊C4C22×D1111yescharacteristic
1459C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
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—111no—
1480C2×C22⋊C4—111no—
1481C2×C22⋊C4—111no—
1482C2×C22⋊C4—111no—
1483C2×C22⋊C4—111no—
1484C2×C22⋊C4—111no—
1485C2×C22⋊C4—111no—
1486C2×C22⋊C4—111no—
1487C2×C22⋊C4—111no—
1488C2×C22⋊C4—111no—
1489C2×C22⋊C4—111no—
1490C2×C22⋊C4—118no—
1491C2×C22⋊C4—118no—
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—118no—
1507C2×C22⋊C4—118no—
1508C2×C22⋊C4—118no—
1509C2×C22⋊C4—118no—
1510C2×C22⋊C4—118no—
1511C2×C22⋊C4—118no—
1512C2×C22⋊C4—118no—
1513C2×C22⋊C4—118no—
1514C2×C22⋊C4C22×D1111yescharacteristic
1515C2×C22⋊C4C22×D1111yescharacteristic
1516C2×C22⋊C4C22×D1111yescharacteristic
1517C2×C22⋊C4C22×D1111yescharacteristic
1518C2×C22⋊C4C22×D1111yescharacteristic
1519C2×C22⋊C4C22×D1111yescharacteristic
1520C2×C22⋊C4C22×D1111yescharacteristic
1521C2×C22⋊C4C22×D1111yescharacteristic
1522C2×C22⋊C4C22×D1111yescharacteristic
1523C2×C22⋊C4C22×D1111yescharacteristic
1524C2×C22⋊C4C22×D1111yescharacteristic
1525C2×C22⋊C4C22×D1111yescharacteristic
1526C2×C42—111no—
1527C2×C42—111no—
1528C2×C42—111no—
1529C2×C42—111no—
1530C2×C42—111no—
1531C2×C42—111no—
1532C2×C42—111no—
1533C2×C42—111no—
1534C2×C42—118no—
1535C2×C42C22×D1111yescharacteristic
1536C2×C42C22×D1111yescharacteristic
1537C2×C42C22×D1111yescharacteristic
1538C2×C42C22×D1111yescharacteristic
1539C2×C11—42no—
1540C2×C11—42no—
1541C2×C11—42no—
1542C2×C11#354514yescomplemented
1543C2×C11C22×H(5,𝔽2)11yescharacteristic
1544C2×C11C2×#58511yescharacteristic
1545C2×C11C2×#58511yescharacteristic
1546D11—24no—
1547D11—42no—
1548D11—42no—
1549D11—42no—
1550D11—42no—
1551D11—42no—
1552C24—111no—
1553C24—111no—
1554C24—111no—
1555C24—111no—
1556C24—111no—
1557C24—111no—
1558C24—114no—
1559C24—114no—
1560C24—114no—
1561C24—114no—
1562C24—224no—
1563C24—224no—
1564C24—442no—
1565C24—442no—
1566C24—442no—
1567C24—442no—
1568C24—442no—
1569C24—442no—
1570C24—442no—
1571C24—442no—
1572C24—442no—
1573C24—442no—
1574C24C23×D1111yescharacteristic
1575C24C23×D1111yescharacteristic
1576C24C23×D1111yescharacteristic
1577#41—4416no—
1578#41—4416no—
1579C2×Q8—42no—
1580C2×Q8—42no—
1581C2×Q8—42no—
1582C2×Q8—114no—
1583C2×Q8—114no—
1584C2×Q8—114no—
1585C2×Q8—114no—
1586C2×Q8—114no—
1587C2×Q8—442no—
1588C2×Q8—442no—
1589C2×Q8—442no—
1590C2×Q8—442no—
1591C2×Q8—442no—
1592C2×Q8—4416no—
1593C2×Q8C23×D1114yes—
1594C2×Q8C23×D1114yes—
1595C2×Q8C23×D1114yes—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—114no—
1600C2×D4—114no—
1601C2×D4—114no—
1602C2×D4—114no—
1603C2×D4—114no—
1604C2×D4—114no—
1605C2×D4—114no—
1606C2×D4—114no—
1607C2×D4—114no—
1608C2×D4—114no—
1609C2×D4—114no—
1610C2×D4—114no—
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—224no—
1621C2×D4—224no—
1622C2×D4—224no—
1623C2×D4—224no—
1624C2×D4—442no—
1625C2×D4—442no—
1626C2×D4—442no—
1627C2×D4—442no—
1628C2×D4—442no—
1629C2×D4—442no—
1630C2×D4—442no—
1631C2×D4—442no—
1632C2×D4—4416no—
1633C2×D4—4416no—
1634C2×D4—442no—
1635C2×D4—442no—
1636C2×D4—442no—
1637C2×D4—442no—
1638C2×D4—442no—
1639C2×D4—442no—
1640C2×D4—442no—
1641C2×D4—442no—
1642C2×D4—442no—
1643C2×D4—4416no—
1644C2×D4C23×D1114yes—
1645C2×D4C23×D1114yes—
1646C2×D4C23×D1114yes—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—111no—
1651C22×C4—111no—
1652C22×C4—111no—
1653C22×C4—111no—
1654C22×C4—111no—
1655C22×C4—111no—
1656C22×C4—111no—
1657C22×C4—111no—
1658C22×C4—111no—
1659C22×C4—111no—
1660C22×C4—114no—
1661C22×C4—114no—
1662C22×C4—114no—
1663C22×C4—114no—
1664C22×C4—114no—
1665C22×C4—114no—
1666C22×C4—114no—
1667C22×C4—114no—
1668C22×C4—114no—
1669C22×C4—114no—
1670C22×C4—114no—
1671C22×C4—114no—
1672C22×C4—114no—
1673C22×C4—114no—
1674C22×C4—114no—
1675C22×C4—114no—
1676C22×C4—224no—
1677C22×C4—224no—
1678C22×C4—224no—
1679C22×C4—442no—
1680C22×C4—442no—
1681C22×C4—442no—
1682C22×C4—442no—
1683C22×C4—442no—
1684C22×C4—442no—
1685C22×C4—442no—
1686C22×C4—442no—
1687C22×C4—442no—
1688C22×C4—442no—
1689C22×C4—442no—
1690C22×C4—442no—
1691C22×C4—442no—
1692C22×C4C23×D1111yescharacteristic
1693C22×C4C23×D1111yescharacteristic
1694C22×C4C23×D1111yescharacteristic
1695C22×C4C23×D1111yescharacteristic
1696C22×C4C23×D1111yescharacteristic
1697C22×C4C23×D1111yescharacteristic
1698C22×C4C23×D1111yescharacteristic
1699C22×C4C23×D1111yescharacteristic
1700C22×C4C23×D1111yescharacteristic
1701C22×C4C23×D1111yescharacteristic
1702C22×C4C23×D1111yescharacteristic
1703C22×C4C23×D1111yescharacteristic
1704C22×C4C23×D1114yes—
1705C22×C4C23×D1114yes—
1706C22×C4C23×D1114yes—
1707C4⋊C4—114no—
1708C4⋊C4—114no—
1709C4⋊C4—114no—
1710C4⋊C4—114no—
1711C4⋊C4—114no—
1712C4⋊C4—114no—
1713C4⋊C4—114no—
1714C4⋊C4—114no—
1715C4⋊C4—114no—
1716C4⋊C4—114no—
1717C4⋊C4—114no—
1718C4⋊C4—114no—
1719C4⋊C4—114no—
1720C4⋊C4—114no—
1721C4⋊C4—114no—
1722C4⋊C4—114no—
1723C4⋊C4—114no—
1724C4⋊C4—114no—
1725C4⋊C4—114no—
1726C4⋊C4—114no—
1727C4⋊C4—114no—
1728C4⋊C4—114no—
1729C4⋊C4C23×D1114yes—
1730C4⋊C4C23×D1114yes—
1731C4⋊C4C23×D1114yes—
1732C4⋊C4C23×D1114yes—
1733C4⋊C4C23×D1114yes—
1734C4⋊C4C23×D1114yes—
1735C4⋊C4C23×D1114yes—
1736C4⋊C4C23×D1114yes—
1737C4⋊C4C23×D1114yes—
1738C4⋊C4C23×D1114yes—
1739C22⋊C4—114no—
1740C22⋊C4—114no—
1741C22⋊C4—114no—
1742C22⋊C4—114no—
1743C22⋊C4—114no—
1744C22⋊C4—114no—
1745C22⋊C4—114no—
1746C22⋊C4—114no—
1747C22⋊C4—114no—
1748C22⋊C4—114no—
1749C22⋊C4—114no—
1750C22⋊C4—114no—
1751C22⋊C4—114no—
1752C22⋊C4—114no—
1753C22⋊C4—114no—
1754C22⋊C4—114no—
1755C22⋊C4—114no—
1756C22⋊C4—114no—
1757C22⋊C4—114no—
1758C22⋊C4—114no—
1759C22⋊C4—114no—
1760C22⋊C4—114no—
1761C22⋊C4—114no—
1762C22⋊C4—114no—
1763C22⋊C4—114no—
1764C22⋊C4—114no—
1765C22⋊C4—114no—
1766C22⋊C4—114no—
1767C22⋊C4—114no—
1768C22⋊C4—114no—
1769C22⋊C4—114no—
1770C22⋊C4—114no—
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⋊C4C23×D1114yes—
1784C22⋊C4C23×D1114yes—
1785C22⋊C4C23×D1114yes—
1786C22⋊C4C23×D1114yes—
1787C22⋊C4C23×D1114yes—
1788C22⋊C4C23×D1114yes—
1789C22⋊C4C23×D1114yes—
1790C22⋊C4C23×D1114yes—
1791C22⋊C4C23×D1114yes—
1792C22⋊C4C23×D1114yes—
1793C22⋊C4C23×D1114yes—
1794C22⋊C4C23×D1114yes—
1795C42—114no—
1796C42—114no—
1797C42—114no—
1798C42—114no—
1799C42—114no—
1800C42—114no—
1801C42—114no—
1802C42—114no—
1803C42C23×D1114yes—
1804C42C23×D1114yes—
1805C42C23×D1114yes—
1806C42C23×D1114yes—
1807C11C2×#354511yescharacteristic, complemented, Sylow
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—114no—
1818C23—112no—
1819C23—112no—
1820C23—112no—
1821C23—112no—
1822C23—112no—
1823C23—112no—
1824C23—228no—
1825C23—228no—
1826C23—222no—
1827C23—222no—
1828C23—222no—
1829C23—222no—
1830C23—222no—
1831C23—222no—
1832C23—222no—
1833C23—222no—
1834C23—222no—
1835C23—222no—
1836C23—222no—
1837C23—222no—
1838C23—222no—
1839C23—222no—
1840C23—222no—
1841C23—222no—
1842C23—222no—
1843C23—444no—
1844C23—444no—
1845C23—444no—
1846C23—444no—
1847C23—444no—
1848C23—444no—
1849C23—444no—
1850C23—444no—
1851C23—444no—
1852C23—444no—
1853C23—888no—
1854C23—888no—
1855C23—888no—
1856C23—888no—
1857C23C24×D1112yes—
1858C23C24×D1112yes—
1859C23C24×D1112yes—
1860C23C24×D1111yescharacteristic
1861Q8—44no—
1862Q8—44no—
1863Q8—44no—
1864Q8—444no—
1865Q8—444no—
1866Q8—444no—
1867Q8—444no—
1868Q8—444no—
1869D4—44no—
1870D4—44no—
1871D4—44no—
1872D4—228no—
1873D4—228no—
1874D4—228no—
1875D4—228no—
1876D4—444no—
1877D4—444no—
1878D4—444no—
1879D4—444no—
1880D4—444no—
1881D4—444no—
1882D4—444no—
1883D4—444no—
1884D4—444no—
1885D4—444no—
1886D4—444no—
1887D4—444no—
1888D4—444no—
1889D4—444no—
1890D4—444no—
1891D4—444no—
1892D4—444no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—44no—
1906C2×C4—44no—
1907C2×C4—44no—
1908C2×C4—112no—
1909C2×C4—112no—
1910C2×C4—112no—
1911C2×C4—112no—
1912C2×C4—112no—
1913C2×C4—112no—
1914C2×C4—112no—
1915C2×C4—112no—
1916C2×C4—112no—
1917C2×C4—112no—
1918C2×C4—228no—
1919C2×C4—228no—
1920C2×C4—228no—
1921C2×C4—222no—
1922C2×C4—222no—
1923C2×C4—222no—
1924C2×C4—222no—
1925C2×C4—222no—
1926C2×C4—222no—
1927C2×C4—222no—
1928C2×C4—222no—
1929C2×C4—222no—
1930C2×C4—222no—
1931C2×C4—444no—
1932C2×C4—444no—
1933C2×C4—444no—
1934C2×C4—444no—
1935C2×C4—444no—
1936C2×C4—444no—
1937C2×C4—444no—
1938C2×C4—444no—
1939C2×C4—444no—
1940C2×C4—444no—
1941C2×C4—444no—
1942C2×C4—444no—
1943C2×C4—444no—
1944C2×C4C24×D1112yes—
1945C2×C4C24×D1112yes—
1946C2×C4C24×D1112yes—
1947C2×C4C24×D1112yes—
1948C2×C4C24×D1112yes—
1949C2×C4C24×D1112yes—
1950C2×C4C24×D1112yes—
1951C2×C4C24×D1112yes—
1952C2×C4C24×D1112yes—
1953C2×C4C24×D1112yes—
1954C2×C4C24×D1112yes—
1955C2×C4C24×D1112yes—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—22no—
1963C22—22no—
1964C22—22no—
1965C22—44no—
1966C22—44no—
1967C22—44no—
1968C22—114no—
1969C22—222no—
1970C22—222no—
1971C22—228no—
1972C22—222no—
1973C22—222no—
1974C22—222no—
1975C22—222no—
1976C22—222no—
1977C22—222no—
1978C22—222no—
1979C22—222no—
1980C22—222no—
1981C22—222no—
1982C22—222no—
1983C22—222no—
1984C22—222no—
1985C22—222no—
1986C22—222no—
1987C22—444no—
1988C22—444no—
1989C22—444no—
1990C22—444no—
1991C22—444no—
1992C22—888no—
1993C22—888no—
1994C22—888no—
1995C22—888no—
1996C22#1062345312yes—
1997C22D11×H(5,𝔽2)12yes—
1998C22#1062345712yes—
1999C22C25×D1111yescharacteristic
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—22no—
2007C4—22no—
2008C4—22no—
2009C4—22no—
2010C4—22no—
2011C4—22no—
2012C4—222no—
2013C4—222no—
2014C4—222no—
2015C4—222no—
2016C4—222no—
2017C4—222no—
2018C4—222no—
2019C4—222no—
2020C4—222no—
2021C4—222no—
2022C2—42no—
2023C2—42no—
2024C2—42no—
2025C2—224no—
2026C2—442no—
2027C2—442no—
2028C2—442no—
2029C2—442no—
2030C2—442no—
2031C2#1308296414yesdirect product factor
2032C2C2×D11×H(5,𝔽2)11yescharacteristic
2033C2C2×#1062345311yescharacteristic
2034C2C2×#1062345711yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#542C2
socleC23×C11C25
hypercenterC2×#542D11
hypocenterC11C2×#3545
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
1. #13082964C2direct (N × H)
2. C2×#10623177C2semidirect
3. C2×#10623198C2semidirect
4. C2×#10623178C2semidirect
5. C2×#10623214C2semidirect
6. C2×#10623063C2semidirect
7. C2×#10623201C2semidirect
8. C2×#10623210C2semidirect
9. C2×#10623087C2semidirect
10. C2×#10623168C2semidirect
11. C2×#10623236C2semidirect
12. C2×#10623236C2semidirect
13. C2×#10623058C2semidirect
14. C2×#10623081C2semidirect
15. C2×#10623207C2semidirect
16. C2×#10623185C2semidirect
17. C2×#10623161C2semidirect
18. C2×#10623264C2semidirect
19. C2×#10623113C2semidirect
20. C2×#10623193C2semidirect
21. C2×#10623175C2semidirect
22. C2×#10623235C2semidirect
23. C2×#10623209C2semidirect
24. C2×#10623144C2semidirect
25. C2×#10623255C2semidirect
26. C2×#10623159C2semidirect
27. C2×#10623184C2semidirect
28. C2×#10623136C2semidirect
29. C2×#10623111C2semidirect
30. C2×#10623237C2semidirect
31. C2×D11×#124C2semidirect
32. C2×C11×#542C2semidirect
34. C22×Q8×D11C22semidirect
36. C22×D4×D11C22semidirect
38. C23×D44C22semidirect
39. C11×#542C22semidirect
40. C2×C11×C4⋊Q8C22semidirect
41. C2×C11×#126C22semidirect
42. C2×C11×#126C22semidirect
43. C2×C11×#124C22semidirect
44. C2×C11×#124C22semidirect
45. C2×C11×#124C22semidirect
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×Q8×C11C22semidirect
53. C2×C4×D4×C11C22semidirect
54. C2×C11×#117C22semidirect
55. C2×#67000C22semidirect
56. C2×#67000C22semidirect
57. C2×#67000C22semidirect
58. C2×#67000C22semidirect
59. C2×#67000C22semidirect
60. C2×#66999C22semidirect
61. C2×#66999C22semidirect
62. C2×#66999C22semidirect
63. C2×#66999C22semidirect
64. C2×#66997C22semidirect
66. C2×#66992C22semidirect
67. C2×#66992C22semidirect
68. C2×#66991C22semidirect
71. C2×#66990C22semidirect
72. C2×#66990C22semidirect
73. C2×#66989C22semidirect
74. C2×#66988C22semidirect
75. C2×#66983C22semidirect
76. C2×#66983C22semidirect
78. C2×#66982C22semidirect
79. C2×C4×C22⋊D11C22semidirect
80. C2×C4×C22⋊D11C22semidirect
81. C22×(C2×D11)⋊C4C22semidirect
82. C22×(C2×D11)⋊C4C22semidirect
83. C2×#66977C22semidirect
84. C2×#66977C22semidirect
85. #10623264C22semidirect
86. #10623255C22semidirect
87. #10623237C22semidirect
88. #10623236C22semidirect
89. #10623236C22semidirect
90. #10623235C22semidirect
91. #10623214C22semidirect
92. #10623210C22semidirect
93. #10623209C22semidirect
94. #10623207C22semidirect
95. D11×#124C22semidirect
96. #10623201C22semidirect
97. #10623198C22semidirect
98. #10623193C22semidirect
99. #10623185C22semidirect
100. #10623184C22semidirect
101. #10623178C22semidirect
102. #10623177C22semidirect
103. #10623175C22semidirect
104. #10623168C22semidirect
105. #10623161C22semidirect
106. #10623159C22semidirect
107. #10623144C22semidirect
108. #10623136C22semidirect
109. #10623113C22semidirect
110. #10623111C22semidirect
111. #10623087C22semidirect
112. #10623081C22semidirect
113. #10623063C22semidirect
114. #10623058C22semidirect
115. C2×#66951C22semidirect
116. C2×#66951C22semidirect
117. C2×#66951C22semidirect
118. C2×#66951C22semidirect
119. C2×#66951C22semidirect
120. C2×#66950C22semidirect
121. C2×#66950C22semidirect
122. C2×#66949C22semidirect
123. C2×#66949C22semidirect
124. C2×#66949C22semidirect
125. C2×#66949C22semidirect
126. C2×#66949C22semidirect
127. C2×#66949C22semidirect
131. C2×#66948C22semidirect
132. C2×#66948C22semidirect
133. C2×#66947C22semidirect
134. C2×#66947C22semidirect
135. C2×#66947C22semidirect
136. C2×#66947C22semidirect
137. C2×#66947C22semidirect
138. C2×#66947C22semidirect
139. C2×#66947C22semidirect
140. C2×#66947C22semidirect
141. C2×#66947C22semidirect
142. C2×#66947C22semidirect
143. C2×#66947C22semidirect
144. C2×#66947C22semidirect
145. C2×#66946C22semidirect
146. C2×#66946C22semidirect
147. C2×#66946C22semidirect
148. C2×#66945C22semidirect
149. C2×#66945C22semidirect
150. C2×#66943C22semidirect
151. C2×#66942C22semidirect
152. C2×#66941C22semidirect
153. C2×#66941C22semidirect
154. C2×#66940C22semidirect
155. C2×#66939C22semidirect
158. C2×#66938C22semidirect
159. C2×#66938C22semidirect
160. C2×#66938C22semidirect
161. C2×#66938C22semidirect
162. C2×#66938C22semidirect
163. C2×#66938C22semidirect
164. C2×#66938C22semidirect
166. C2×#66937C22semidirect
167. C2×#66937C22semidirect
168. C2×#66937C22semidirect
169. C2×#66937C22semidirect
170. C2×#66937C22semidirect
172. C2×#66936C22semidirect
173. C2×#66936C22semidirect
174. C2×#66936C22semidirect
175. C2×#66936C22semidirect
176. C2×#66936C22semidirect
181. C2×#66935C22semidirect
182. C2×#66935C22semidirect
183. C2×#66935C22semidirect
184. C2×#66935C22semidirect
185. C2×(C22⋊D11)⋊C4C22semidirect
186. C2×(C22⋊D11)⋊C4C22semidirect
187. C2×(C22⋊D11)⋊C4C22semidirect
188. C2×(C22⋊D11)⋊C4C22semidirect
189. C2×C22⋊C4×D11C22semidirect
190. C2×C22⋊C4×D11C22semidirect
191. C2×C22⋊C4×D11C22semidirect
192. C2×C22⋊C4×D11C22semidirect
193. C2×C22⋊C4×D11C22semidirect
194. C2×C22⋊C4×D11C22semidirect
195. C2×C22⋊C4×D11C22semidirect
196. C2×C22⋊C4×D11C22semidirect
197. C2×#66932C22semidirect
198. C2×#66932C22semidirect
199. C2×#66932C22semidirect
200. C2×#66931C22semidirect
201. C2×#66930C22semidirect
202. C2×#66930C22semidirect
203. C2×#66929C22semidirect
204. C2×#66929C22semidirect
205. C2×#66928C22semidirect
206. C2×#66928C22semidirect
207. C2×#66928C22semidirect
208. C2×#66928C22semidirect
209. C2×C4×D44C22semidirect
210. C2×C4×D44C22semidirect
211. C2×C4×D44C22semidirect
212. C2×C4×D44C22semidirect
213. C2×#66925C22semidirect
214. C2×#66925C22semidirect
215. C2×#66925C22semidirect
216. C2×#66925C22semidirect
217. C2×#66925C22semidirect
218. C2×C42×D11C22semidirect
247. C2×Q8×D11C23semidirect
251. C2×D4×D11C23semidirect
266. C22×D44C23semidirect
286. C11×C4⋊Q8C23semidirect
287. C11×#126C23semidirect
288. C11×#126C23semidirect
289. C11×#124C23semidirect
290. C11×#124C23semidirect
291. C11×#124C23semidirect
292. C11×#123C23semidirect
293. C11×#123C23semidirect
294. C11×C22⋊Q8C23semidirect
295. C11×C22⋊Q8C23semidirect
296. C11×C22⋊Q8C23semidirect
298. C4×Q8×C11C23semidirect
299. C4×D4×C11C23semidirect
300. C11×#117C23semidirect
335. #67000C23semidirect
336. #67000C23semidirect
337. #67000C23semidirect
338. #67000C23semidirect
339. #67000C23semidirect
340. #66999C23semidirect
341. #66999C23semidirect
342. #66999C23semidirect
343. #66999C23semidirect
344. #66997C23semidirect
346. #66992C23semidirect
347. #66992C23semidirect
348. #66991C23semidirect
351. #66990C23semidirect
352. #66990C23semidirect
353. #66989C23semidirect
354. #66988C23semidirect
355. #66983C23semidirect
356. #66983C23semidirect
358. #66982C23semidirect
359. C4×C22⋊D11C23semidirect
360. C4×C22⋊D11C23semidirect
397. C2×(C2×D11)⋊C4C23semidirect
398. C2×(C2×D11)⋊C4C23semidirect
405. #66977C23semidirect
406. #66977C23semidirect
431. #66951C23semidirect
432. #66951C23semidirect
433. #66951C23semidirect
434. #66951C23semidirect
435. #66951C23semidirect
436. #66950C23semidirect
437. #66950C23semidirect
438. #66949C23semidirect
439. #66949C23semidirect
440. #66949C23semidirect
441. #66949C23semidirect
442. #66949C23semidirect
443. #66949C23semidirect
447. #66948C23semidirect
448. #66948C23semidirect
449. #66947C23semidirect
450. #66947C23semidirect
451. #66947C23semidirect
452. #66947C23semidirect
453. #66947C23semidirect
454. #66947C23semidirect
455. #66947C23semidirect
456. #66947C23semidirect
457. #66947C23semidirect
458. #66947C23semidirect
459. #66947C23semidirect
460. #66947C23semidirect
461. #66946C23semidirect
462. #66946C23semidirect
463. #66946C23semidirect
464. #66945C23semidirect
465. #66945C23semidirect
466. #66943C23semidirect
467. #66942C23semidirect
468. #66941C23semidirect
469. #66941C23semidirect
470. #66940C23semidirect
471. #66939C23semidirect
474. #66938C23semidirect
475. #66938C23semidirect
476. #66938C23semidirect
477. #66938C23semidirect
478. #66938C23semidirect
479. #66938C23semidirect
480. #66938C23semidirect
482. #66937C23semidirect
483. #66937C23semidirect
484. #66937C23semidirect
485. #66937C23semidirect
486. #66937C23semidirect
488. #66936C23semidirect
489. #66936C23semidirect
490. #66936C23semidirect
491. #66936C23semidirect
492. #66936C23semidirect
497. #66935C23semidirect
498. #66935C23semidirect
499. #66935C23semidirect
500. #66935C23semidirect
501. (C22⋊D11)⋊C4C23semidirect
502. (C22⋊D11)⋊C4C23semidirect
503. (C22⋊D11)⋊C4C23semidirect
504. (C22⋊D11)⋊C4C23semidirect
505. C22⋊C4×D11C23semidirect
506. C22⋊C4×D11C23semidirect
507. C22⋊C4×D11C23semidirect
508. C22⋊C4×D11C23semidirect
509. C22⋊C4×D11C23semidirect
510. C22⋊C4×D11C23semidirect
511. C22⋊C4×D11C23semidirect
512. C22⋊C4×D11C23semidirect
513. #66932C23semidirect
514. #66932C23semidirect
515. #66932C23semidirect
516. #66931C23semidirect
517. #66930C23semidirect
518. #66930C23semidirect
519. #66929C23semidirect
520. #66929C23semidirect
521. #66928C23semidirect
522. #66928C23semidirect
523. #66928C23semidirect
524. #66928C23semidirect
525. C4×D44C23semidirect
526. C4×D44C23semidirect
527. C4×D44C23semidirect
528. C4×D44C23semidirect
529. #66925C23semidirect
530. #66925C23semidirect
531. #66925C23semidirect
532. #66925C23semidirect
533. #66925C23semidirect
534. C42×D11C23semidirect
811. C2×#542D11semidirect
996. #542C2×D11semidirect
1008. C2×C4⋊Q8C2×D11semidirect
1021. C2×#126C2×D11semidirect
1022. C2×#126C2×D11semidirect
1045. C2×#124C2×D11semidirect
1046. C2×#124C2×D11semidirect
1047. C2×#124C2×D11semidirect
1070. C2×#123C2×D11semidirect
1071. C2×#123C2×D11semidirect
1087. C2×C22⋊Q8C2×D11semidirect
1088. C2×C22⋊Q8C2×D11semidirect
1089. C2×C22⋊Q8C2×D11semidirect
1121. C2×C4×Q8C2×D11semidirect
1135. C2×C4×D4C2×D11semidirect
1145. C2×#117C2×D11semidirect
1293. C4⋊Q8C22×D11semidirect
1304. #126C22×D11semidirect
1305. #126C22×D11semidirect
1327. #124C22×D11semidirect
1328. #124C22×D11semidirect
1329. #124C22×D11semidirect
1352. #123C22×D11semidirect
1353. #123C22×D11semidirect
1369. C22⋊Q8C22×D11semidirect
1370. C22⋊Q8C22×D11semidirect
1371. C22⋊Q8C22×D11semidirect
1403. C4×Q8C22×D11semidirect
1417. C4×D4C22×D11semidirect
1427. #117C22×D11semidirect
1542. C2×C11#3545semidirect
1807. C11C2×#3545semidirect
2031. C2#13082964direct (N × H)

Maximal subgroups

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

subgroupindex
#130829642
C2×#106231772
C2×#106231982
C2×#106231782
C2×#106232142
C2×#106230632
C2×#106232012
C2×#106232102
C2×#106230872
C2×#106231682
C2×#106232362
C2×#106230582
C2×#106230812
C2×#106232072
C2×#106231852
C2×#106231612
C2×#106232642
C2×#106231132
C2×#106231932
C2×#106231752
C2×#106232352
C2×#106232092
C2×#106231442
C2×#106232552
C2×#106231592
C2×#106231842
C2×#106231362
C2×#106231112
C2×#106232372
C2×D11×#1242
C2×C11×#5422
C2×#354511