Finite Group Databasebeta

← C2×#13082931 #15660911

Subgroups — C2×#13082931 #15660911

Order 2816.

8122 conjugacy classes of subgroups.

The subgroup lattice has 2160 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082931C2132yesmaximal, direct product factor
2C2×#10623198C211yesmaximal, characteristic, complemented
3C2×#10623178C211yesmaximal, characteristic, complemented
4C2×#10623242C211yesmaximal, characteristic, complemented
5C2×#10623126C211yesmaximal, characteristic, complemented
6C2×#10623201C211yesmaximal, characteristic, complemented
7C2×#10623240C211yesmaximal, characteristic, complemented
8C2×#10623239C211yesmaximal, characteristic, complemented
9C2×#10623087C211yesmaximal, characteristic, complemented
10C2×#10623236C211yesmaximal, characteristic, complemented
11C2×#10623084C211yesmaximal, characteristic, complemented
12C2×#10623162C211yesmaximal, characteristic, complemented
13C2×#10623207C211yesmaximal, characteristic, complemented
14C2×#10623185C211yesmaximal, characteristic, complemented
15C2×#10623021C211yesmaximal, characteristic, complemented
16C2×#10623021C211yesmaximal, characteristic, complemented
17C2×#10623121C211yesmaximal, characteristic, complemented
18C2×#10623200C211yesmaximal, characteristic, complemented
19C2×#10623093C211yesmaximal, characteristic, complemented
20C2×#10623146C211yesmaximal, characteristic, complemented
21C2×#10623146C211yesmaximal, characteristic, complemented
22C2×#10623188C211yesmaximal, characteristic, complemented
23C2×#10623139C211yesmaximal, characteristic, complemented
24C2×#10623205C211yesmaximal, characteristic, complemented
25C2×#10623138C211yesmaximal, characteristic, complemented
26C2×#10623123C211yesmaximal, characteristic, complemented
27C2×#10623120C211yesmaximal, characteristic, complemented
28C2×#10623136C211yesmaximal, characteristic, complemented
29C2×#10623078C211yesmaximal, characteristic, complemented
30C2×#10623187C211yesmaximal, characteristic, complemented
31C2×D11×#121C211yesmaximal, characteristic, complemented
32C2×C11×#538C211yesmaximal, characteristic, complemented
33C23×C22⋊D11C2211yescharacteristic
34C23×C22⋊D11C2211yescharacteristic, complemented
35C22×#4343C2211yescharacteristic, complemented
36C22×#4341C2211yescharacteristic, complemented
37C22×D4×D11C2211yescharacteristic
38C22×D4×D11C2211yescharacteristic
39C22×D4×D11C2211yescharacteristic, complemented
40C22×D4×D11C2211yescharacteristic, complemented
41C22×#4339C2211yescharacteristic, complemented
42C22×#4339C2211yescharacteristic, complemented
43C22×#4339C2211yescharacteristic, complemented
44C23×C4×D11C2211yescharacteristic, complemented
45C11×#538C22116yescomplemented
46C2×C11×#126C2211yescharacteristic, complemented
47C2×C11×#126C2211yescharacteristic, complemented
48C2×C11×#124C2211yescharacteristic, complemented
49C2×C11×#124C2211yescharacteristic, complemented
50C2×C11×#123C2211yescharacteristic, complemented
51C2×C11×#123C2211yescharacteristic, complemented
52C2×C11×C22⋊Q8C2211yescharacteristic, complemented
53C2×C11×#121C2211yescharacteristic, complemented
54C2×C11×#121C2211yescharacteristic, complemented
55C2×C11×#121C2211yescharacteristic, complemented
56C2×C11×#120C2211yescharacteristic, complemented
57C2×C11×#120C2211yescharacteristic, complemented
58C2×C4×D4×C11C2211yescharacteristic, complemented
59C2×C4×D4×C11C2211yescharacteristic, complemented
60C22×C11×C22⋊C4C2211yescharacteristic, complemented
61C2×#67006C2211yescharacteristic, complemented
62C2×#67006C2211yescharacteristic, complemented
63C2×#67000C2211yescharacteristic, complemented
64C2×#66999C2211yescharacteristic, complemented
65C2×#66997C2211yescharacteristic, complemented
66C2×#66993C2211yescharacteristic, complemented
67C2×#66993C2211yescharacteristic, complemented
68C2×#66993C2211yescharacteristic, complemented
69C2×#66993C2211yescharacteristic, complemented
70C2×#66992C2211yescharacteristic
71C2×#66992C2211yescharacteristic, complemented
72C2×#66992C2211yescharacteristic, complemented
73C2×#66992C2211yescharacteristic, complemented
74C2×#66992C2211yescharacteristic, complemented
75C2×#66992C2211yescharacteristic, complemented
76C2×#66992C2211yescharacteristic, complemented
77C2×#66992C2211yescharacteristic, complemented
78C2×#66991C2211yescharacteristic, complemented
79C2×#66991C2211yescharacteristic, complemented
80C2×#66991C2211yescharacteristic, complemented
81C2×#66991C2211yescharacteristic, complemented
82C2×#66991C2211yescharacteristic, complemented
83C2×#66990C2211yescharacteristic
84C2×#66990C2211yescharacteristic
85C2×#66990C2211yescharacteristic, complemented
86C2×#66990C2211yescharacteristic, complemented
87C2×#66988C2211yescharacteristic, complemented
88C2×#66988C2211yescharacteristic, complemented
89C2×#66983C2211yescharacteristic, complemented
90C2×#66983C2211yescharacteristic, complemented
91C2×#66983C2211yescharacteristic, complemented
92C2×#66983C2211yescharacteristic, complemented
93C2×#66982C2211yescharacteristic, complemented
94C2×#66982C2211yescharacteristic, complemented
95C2×#66982C2211yescharacteristic, complemented
96C2×C4×C22⋊D11C2211yescharacteristic, complemented
97C2×C4×C22⋊D11C2211yescharacteristic, complemented
98C2×C4×C22⋊D11C2211yescharacteristic, complemented
99C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
100C2×#66977C2211yescharacteristic, complemented
101#10623242C22116yescomplemented
102#10623240C22116yescomplemented
103#10623239C22116yescomplemented
104#10623236C22116yescomplemented
105#10623207C22116yescomplemented
106#10623205C22116yescomplemented
107#10623201C22116yescomplemented
108#10623200C22116yescomplemented
109#10623198C22116yescomplemented
110#10623188C22116yescomplemented
111#10623187C22116yescomplemented
112#10623185C22116yescomplemented
113#10623178C22116yescomplemented
114#10623162C22116yescomplemented
115#10623146C22116yescomplemented
116#10623146C22116yescomplemented
117#10623139C22116yescomplemented
118#10623138C22116yescomplemented
119#10623136C22116yescomplemented
120D11×#121C22116yescomplemented
121#10623126C22116yescomplemented
122#10623123C22116yescomplemented
123#10623121C22116yescomplemented
124#10623120C22116yescomplemented
125#10623093C22116yescomplemented
126#10623087C22116yescomplemented
127#10623084C22116yescomplemented
128#10623078C22116yescomplemented
129C2×#66951C2211yescharacteristic, complemented
130C2×#66950C2211yescharacteristic, complemented
131C2×#66950C2211yescharacteristic, complemented
132C2×#66949C2211yescharacteristic, complemented
133C2×#66949C2211yescharacteristic, complemented
134C2×#66949C2211yescharacteristic, complemented
135C2×#66948C2211yescharacteristic, complemented
136C2×#66948C2211yescharacteristic, complemented
137C2×#66948C2211yescharacteristic, complemented
138C2×#66947C2211yescharacteristic, complemented
139C2×#66947C2211yescharacteristic, complemented
140C2×#66947C2211yescharacteristic, complemented
141C2×#66947C2211yescharacteristic, complemented
142C2×#66947C2211yescharacteristic, complemented
143C2×#66947C2211yescharacteristic, complemented
144C2×#66946C2211yescharacteristic, complemented
145C2×#66946C2211yescharacteristic, complemented
146C2×#66946C2211yescharacteristic, complemented
147C2×#66945C2211yescharacteristic, complemented
148C2×C4⋊C4×D11C2211yescharacteristic, complemented
149C2×C4⋊C4×D11C2211yescharacteristic, complemented
150C2×#66943C2211yescharacteristic, complemented
151C2×#66942C2211yescharacteristic, complemented
152C2×#66942C2211yescharacteristic, complemented
153C2×#66939C2211yescharacteristic, complemented
154C2×#66938C2211yescharacteristic, complemented
155C2×#66938C2211yescharacteristic, complemented
156C2×#66938C2211yescharacteristic, complemented
157C2×#66938C2211yescharacteristic, complemented
158C2×#66938C2211yescharacteristic, complemented
159C2×#66938C2211yescharacteristic, complemented
160#10623021C22116yescomplemented
161#10623021C22116yescomplemented
162C2×#66937C2211yescharacteristic
163C2×#66937C2211yescharacteristic
164C2×#66937C2211yescharacteristic
165C2×#66937C2211yescharacteristic, complemented
166C2×#66937C2211yescharacteristic, complemented
167C2×#66937C2211yescharacteristic, complemented
168C2×#66937C2211yescharacteristic, complemented
169C2×#66937C2211yescharacteristic, complemented
170C2×#66937C2211yescharacteristic, complemented
171C2×#66937C2211yescharacteristic, complemented
172C2×#66937C2211yescharacteristic, complemented
173C2×#66937C2211yescharacteristic, complemented
174C2×#66937C2211yescharacteristic, complemented
175C2×#66937C2211yescharacteristic, complemented
176C2×#66937C2211yescharacteristic, complemented
177C2×#66937C2211yescharacteristic, complemented
178C2×#66936C2211yescharacteristic
179C2×#66936C2211yescharacteristic
180C2×#66936C2211yescharacteristic, complemented
181C2×#66936C2211yescharacteristic, complemented
182C2×#66936C2211yescharacteristic, complemented
183C2×#66936C2211yescharacteristic, complemented
184C2×#66936C2211yescharacteristic, complemented
185C2×#66936C2211yescharacteristic, complemented
186C2×#66935C2211yescharacteristic
187C2×#66935C2211yescharacteristic, complemented
188C2×#66935C2211yescharacteristic, complemented
189C2×#66935C2211yescharacteristic, complemented
190C2×#66935C2211yescharacteristic, complemented
191C2×#66935C2211yescharacteristic, complemented
192C2×#66935C2211yescharacteristic, complemented
193C2×#66935C2211yescharacteristic, complemented
194C2×(C22⋊D11)⋊C4C2211yescharacteristic
195C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
196C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
197C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
198C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
199C2×C22⋊C4×D11C2211yescharacteristic, complemented
200C2×C22⋊C4×D11C2211yescharacteristic, complemented
201C2×C22⋊C4×D11C2211yescharacteristic, complemented
202C2×C22⋊C4×D11C2211yescharacteristic, complemented
203C2×#66932C2211yescharacteristic, complemented
204C2×#66932C2211yescharacteristic, complemented
205C2×#66931C2211yescharacteristic, complemented
206C2×#66931C2211yescharacteristic, complemented
207C2×#66931C2211yescharacteristic, complemented
208C2×#66930C2211yescharacteristic, complemented
209C2×#66930C2211yescharacteristic, complemented
210C2×#66930C2211yescharacteristic, complemented
211C2×#66929C2211yescharacteristic, complemented
212C2×#66927C2211yescharacteristic, complemented
213C2×C4×D44C2211yescharacteristic, complemented
214C2×C4×D44C2211yescharacteristic, complemented
215C2×#66925C2211yescharacteristic, complemented
216C2×#66925C2211yescharacteristic, complemented
217C2×#66925C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C25×C11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C24×D11C2311yescharacteristic
222C24×D11C2311yescharacteristic
223C24×D11C2311yescharacteristic
224C22×Q8×C11C2311yescharacteristic
225C22×D4×C11C2311yescharacteristic
226C22×D4×C11C2311yescharacteristic
227C22×D4×C11C2311yescharacteristic
228C22×D4×C11C2311yescharacteristic
229C22×D4×C11C2311yescharacteristic
230C22×D4×C11C2311yescharacteristic
231C22×D4×C11C2311yescharacteristic
232C23×C4×C11C2311yescharacteristic
233C23×C4×C11C2311yescharacteristic
234C23×C4×C11C2311yescharacteristic
235C23×C4×C11C2311yescharacteristic
236C22×C22⋊D11—44no—
237C22×C22⋊D11—44no—
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
247C22×C22⋊D11C2311yescharacteristic
248C22×C22⋊D11C2311yescharacteristic
249C22×C22⋊D11C2311yescharacteristic
250C22×C22⋊D11C2311yescharacteristic
251C22×C22⋊D11C2311yescharacteristic
252C22×C22⋊D11C2311yescharacteristic
253C22×C22⋊D11C2311yescharacteristic
254C22×C22⋊D11C2311yescharacteristic
255C22×C22⋊D11C2311yescharacteristic
256C22×C22⋊D11C2311yescharacteristic
257C22×C22⋊D11C2311yescharacteristic
258C22×C22⋊D11C2311yescharacteristic
259C22×C22⋊D11C2311yescharacteristic
260C22×C22⋊D11C2318yes—
261C22×C22⋊D11C2318yescomplemented
262C23×Dic11C2311yescharacteristic
263C23×Dic11C2311yescharacteristic
264C23×Dic11C2311yescharacteristic
265C23×Dic11C2311yescharacteristic
266C2×#4343—44no—
267C2×#4343C2318yescomplemented
268C2×#4341—44no—
269C2×#4341C2318yescomplemented
270C2×D4×D11—44no—
271C2×D4×D11—44no—
272C2×D4×D11—44no—
273C2×D4×D11—44no—
274C2×D4×D11C2318yes—
275C2×D4×D11C2318yes—
276C2×D4×D11C2318yescomplemented
277C2×D4×D11C2318yescomplemented
278C2×#4339—44no—
279C2×#4339—44no—
280C2×#4339—44no—
281C2×#4339C2318yescomplemented
282C2×#4339C2318yescomplemented
283C2×#4339C2318yescomplemented
284C22×D44C2311yescharacteristic
285C22×D44C2311yescharacteristic
286C22×D44C2311yescharacteristic
287C22×D44C2311yescharacteristic
288C22×D44C2311yescharacteristic
289C22×D44C2311yescharacteristic
290C22×D44C2311yescharacteristic
291C22×D44C2311yescharacteristic
292C22×D44C2311yescharacteristic
293C22×D44C2311yescharacteristic
294C22×D44C2311yescharacteristic
295C22×C4×D11—44no—
296C22×C4×D11C2311yescharacteristic
297C22×C4×D11C2311yescharacteristic
298C22×C4×D11C2311yescharacteristic
299C22×C4×D11C2311yescharacteristic
300C22×C4×D11C2311yescharacteristic
301C22×C4×D11C2311yescharacteristic
302C22×C4×D11C2311yescharacteristic
303C22×C4×D11C2311yescharacteristic
304C22×C4×D11C2311yescharacteristic
305C22×C4×D11C2311yescharacteristic
306C22×C4×D11C2311yescharacteristic
307C22×C4×D11C2311yescharacteristic
308C22×C4×D11C2311yescharacteristic
309C22×C4×D11C2311yescharacteristic
310C22×C4×D11C2318yescomplemented
311C22×Dic22C2311yescharacteristic
312C22×Dic22C2311yescharacteristic
313C22×Dic22C2311yescharacteristic
314C11×#126C2318yescomplemented
315C11×#126C2318yescomplemented
316C11×#124C2318yescomplemented
317C11×#124C2318yescomplemented
318C11×#123C2318yescomplemented
319C11×#123C2318yescomplemented
320C11×C22⋊Q8C2318yescomplemented
321C11×#121C2318yescomplemented
322C11×#121C2318yescomplemented
323C11×#121C2318yescomplemented
324C11×#120C2318yescomplemented
325C11×#120C2318yescomplemented
326C4×D4×C11C2318yescomplemented
327C4×D4×C11C2318yescomplemented
328C2×C11×C4⋊C4C2311yescharacteristic
329C2×C11×C4⋊C4C2311yescharacteristic
330C2×C11×C4⋊C4C2311yescharacteristic
331C2×C11×C4⋊C4C2311yescharacteristic
332C2×C11×C4⋊C4C2311yescharacteristic
333C2×C11×C4⋊C4C2311yescharacteristic
334C2×C11×C22⋊C4C2311yescharacteristic
335C2×C11×C22⋊C4C2311yescharacteristic
336C2×C11×C22⋊C4C2311yescharacteristic
337C2×C11×C22⋊C4C2311yescharacteristic
338C2×C11×C22⋊C4C2311yescharacteristic
339C2×C11×C22⋊C4C2311yescharacteristic
340C2×C11×C22⋊C4C2311yescharacteristic
341C2×C11×C22⋊C4C2311yescharacteristic
342C2×C11×C22⋊C4C2311yescharacteristic
343C2×C11×C22⋊C4C2311yescharacteristic
344C2×C11×C22⋊C4C2311yescharacteristic
345C2×C11×C22⋊C4C2311yescharacteristic
346C2×C11×C22⋊C4C2311yescharacteristic
347C2×C11×C22⋊C4C2311yescharacteristic
348C2×C11×C22⋊C4C2318yescomplemented
349C2×C42×C11C2311yescharacteristic
350C2×C42×C11C2311yescharacteristic
351#67006C2318yescomplemented
352#67006C2318yescomplemented
353C2×C22⋊Dic11C2311yescharacteristic
354C2×C22⋊Dic11C2311yescharacteristic
355C2×C22⋊Dic11C2311yescharacteristic
356C2×C22⋊Dic11C2311yescharacteristic
357C2×C22⋊Dic11C2311yescharacteristic
358C2×C22⋊Dic11C2311yescharacteristic
359C2×C22⋊Dic11C2311yescharacteristic
360C2×C22⋊Dic11C2311yescharacteristic
361C2×C22⋊Dic11C2311yescharacteristic
362C2×C22⋊Dic11C2311yescharacteristic
363#67000C2318yescomplemented
364#66999C2318yescomplemented
365#66997C2318yescomplemented
366#66993C2318yescomplemented
367#66993C2318yescomplemented
368#66993C2318yescomplemented
369#66993C2318yescomplemented
370#66992C2318yes—
371#66992C2318yescomplemented
372#66992C2318yescomplemented
373#66992C2318yescomplemented
374#66992C2318yescomplemented
375#66992C2318yescomplemented
376#66992C2318yescomplemented
377#66992C2318yescomplemented
378#66991C2318yescomplemented
379#66991C2318yescomplemented
380#66991C2318yescomplemented
381#66991C2318yescomplemented
382#66991C2318yescomplemented
383#66990C2318yes—
384#66990C2318yes—
385#66990C2318yescomplemented
386#66990C2318yescomplemented
387#66988C2318yescomplemented
388#66988C2318yescomplemented
389#66983C2318yescomplemented
390#66983C2318yescomplemented
391#66983C2318yescomplemented
392#66983C2318yescomplemented
393#66982C2318yescomplemented
394#66982C2318yescomplemented
395#66982C2318yescomplemented
396C4×C22⋊D11C2318yescomplemented
397C4×C22⋊D11C2318yescomplemented
398C4×C22⋊D11C2318yescomplemented
399C2×(C2×D11)⋊C4C2311yescharacteristic
400C2×(C2×D11)⋊C4C2311yescharacteristic
401C2×(C2×D11)⋊C4C2311yescharacteristic
402C2×(C2×D11)⋊C4C2311yescharacteristic
403C2×(C2×D11)⋊C4C2311yescharacteristic
404C2×(C2×D11)⋊C4C2311yescharacteristic
405C2×(C2×D11)⋊C4C2311yescharacteristic
406C2×(C2×D11)⋊C4C2311yescharacteristic
407C2×(C2×D11)⋊C4C2311yescharacteristic
408C2×(C2×D11)⋊C4C2311yescharacteristic
409C2×(C2×D11)⋊C4C2311yescharacteristic
410C2×(C2×D11)⋊C4C2311yescharacteristic
411C2×(C2×D11)⋊C4C2311yescharacteristic
412C2×(C2×D11)⋊C4C2311yescharacteristic
413C2×(C2×D11)⋊C4C2311yescharacteristic
414C2×(C2×D11)⋊C4C2311yescharacteristic
415C2×(C2×D11)⋊C4C2311yescharacteristic
416C2×(C2×D11)⋊C4C2311yescharacteristic
417C2×(C2×D11)⋊C4C2311yescharacteristic
418C2×(C2×D11)⋊C4C2311yescharacteristic
419C2×(C2×D11)⋊C4C2311yescharacteristic
420C2×(C2×D11)⋊C4C2311yescharacteristic
421C2×(C2×D11)⋊C4C2311yescharacteristic
422C2×(C2×D11)⋊C4C2311yescharacteristic
423C2×(C2×D11)⋊C4C2318yescomplemented
424C2×C4⋊Dic11C2311yescharacteristic
425C2×C4⋊Dic11C2311yescharacteristic
426C2×C4⋊Dic11C2311yescharacteristic
427C2×C4⋊Dic11C2311yescharacteristic
428C2×C4⋊Dic11C2311yescharacteristic
429C2×C4⋊Dic11C2311yescharacteristic
430#66977C2318yescomplemented
431C2×Dic11⋊C4C2311yescharacteristic
432C2×Dic11⋊C4C2311yescharacteristic
433C2×Dic11⋊C4C2311yescharacteristic
434C2×Dic11⋊C4C2311yescharacteristic
435C2×Dic11⋊C4C2311yescharacteristic
436C2×Dic11⋊C4C2311yescharacteristic
437C2×Dic11⋊C4C2311yescharacteristic
438C2×Dic11⋊C4C2311yescharacteristic
439C2×Dic11⋊C4C2311yescharacteristic
440C2×Dic11⋊C4C2311yescharacteristic
441C2×Dic11⋊C4C2311yescharacteristic
442C2×Dic11⋊C4C2311yescharacteristic
443C2×Dic11⋊C4C2311yescharacteristic
444C2×Dic11⋊C4C2311yescharacteristic
445C2×Dic11⋊C4C2311yescharacteristic
446C2×Dic11⋊C4C2311yescharacteristic
447C2×C4×Dic11C2311yescharacteristic
448C2×C4×Dic11C2311yescharacteristic
449C2×C4×Dic11C2311yescharacteristic
450C2×C4×Dic11C2311yescharacteristic
451C2×C4×Dic11C2311yescharacteristic
452C2×C4×Dic11C2311yescharacteristic
453#66951C2318yescomplemented
454#66950C2318yescomplemented
455#66950C2318yescomplemented
456#66949C2318yescomplemented
457#66949C2318yescomplemented
458#66949C2318yescomplemented
459#66948C2318yescomplemented
460#66948C2318yescomplemented
461#66948C2318yescomplemented
462#66947C2318yescomplemented
463#66947C2318yescomplemented
464#66947C2318yescomplemented
465#66947C2318yescomplemented
466#66947C2318yescomplemented
467#66947C2318yescomplemented
468#66946C2318yescomplemented
469#66946C2318yescomplemented
470#66946C2318yescomplemented
471#66945C2318yescomplemented
472C4⋊C4×D11C2318yescomplemented
473C4⋊C4×D11C2318yescomplemented
474#66943C2318yescomplemented
475#66942C2318yescomplemented
476#66942C2318yescomplemented
477#66939C2318yescomplemented
478#66938C2318yescomplemented
479#66938C2318yescomplemented
480#66938C2318yescomplemented
481#66938C2318yescomplemented
482#66938C2318yescomplemented
483#66938C2318yescomplemented
484#66937C2318yes—
485#66937C2318yes—
486#66937C2318yes—
487#66937C2318yescomplemented
488#66937C2318yescomplemented
489#66937C2318yescomplemented
490#66937C2318yescomplemented
491#66937C2318yescomplemented
492#66937C2318yescomplemented
493#66937C2318yescomplemented
494#66937C2318yescomplemented
495#66937C2318yescomplemented
496#66937C2318yescomplemented
497#66937C2318yescomplemented
498#66937C2318yescomplemented
499#66937C2318yescomplemented
500#66936C2318yes—
501#66936C2318yes—
502#66936C2318yescomplemented
503#66936C2318yescomplemented
504#66936C2318yescomplemented
505#66936C2318yescomplemented
506#66936C2318yescomplemented
507#66936C2318yescomplemented
508#66935C2318yes—
509#66935C2318yescomplemented
510#66935C2318yescomplemented
511#66935C2318yescomplemented
512#66935C2318yescomplemented
513#66935C2318yescomplemented
514#66935C2318yescomplemented
515#66935C2318yescomplemented
516(C22⋊D11)⋊C4C2318yes—
517(C22⋊D11)⋊C4C2318yescomplemented
518(C22⋊D11)⋊C4C2318yescomplemented
519(C22⋊D11)⋊C4C2318yescomplemented
520(C22⋊D11)⋊C4C2318yescomplemented
521C22⋊C4×D11C2318yescomplemented
522C22⋊C4×D11C2318yescomplemented
523C22⋊C4×D11C2318yescomplemented
524C22⋊C4×D11C2318yescomplemented
525#66932C2318yescomplemented
526#66932C2318yescomplemented
527#66931C2318yescomplemented
528#66931C2318yescomplemented
529#66931C2318yescomplemented
530#66930C2318yescomplemented
531#66930C2318yescomplemented
532#66930C2318yescomplemented
533#66929C2318yescomplemented
534#66927C2318yescomplemented
535C4×D44C2318yescomplemented
536C4×D44C2318yescomplemented
537#66925C2318yescomplemented
538#66925C2318yescomplemented
539#66925C2318yescomplemented
540C4×Dic22C2318yescomplemented
541C2×#3542—111nomaximal, Sylow
542C24×C11—42no—
543C24×C11—42no—
544C24×C11—42no—
545C24×C11C2411yescharacteristic
546C24×C11C2411yescharacteristic
547C24×C11C2411yescharacteristic
548C24×C11C2411yescharacteristic
549C24×C11C2411yescharacteristic
550C24×C11C2414yes—
551C23×D11—24no—
552C23×D11—24no—
553C23×D11—24no—
554C23×D11—42no—
555C23×D11—42no—
556C23×D11—42no—
557C23×D11—42no—
558C23×D11—42no—
559C23×D11—42no—
560C23×D11—42no—
561C23×D11—42no—
562C23×D11—42no—
563C23×D11C2411yescharacteristic
564C23×D11C2411yescharacteristic
565C23×D11C2411yescharacteristic
566C23×D11C2411yescharacteristic
567C23×D11C2411yescharacteristic
568C23×D11C2411yescharacteristic
569C23×D11C2414yes—
570C23×D11C2414yes—
571C23×D11C2414yes—
572C23×D11C2414yes—
573C2×Q8×C11—42no—
574C2×Q8×C11C2414yes—
575C2×D4×C11—42no—
576C2×D4×C11—42no—
577C2×D4×C11—42no—
578C2×D4×C11—42no—
579C2×D4×C11—42no—
580C2×D4×C11—42no—
581C2×D4×C11—42no—
582C2×D4×C11C2414yes—
583C2×D4×C11C2414yes—
584C2×D4×C11C2414yes—
585C2×D4×C11C2414yes—
586C2×D4×C11C2414yes—
587C2×D4×C11C2414yes—
588C2×D4×C11C2414yes—
589C22×C4×C11—42no—
590C22×C4×C11—42no—
591C22×C4×C11—42no—
592C22×C4×C11—42no—
593C22×C4×C11C2411yescharacteristic
594C22×C4×C11C2411yescharacteristic
595C22×C4×C11C2411yescharacteristic
596C22×C4×C11C2411yescharacteristic
597C22×C4×C11C2411yescharacteristic
598C22×C4×C11C2411yescharacteristic
599C22×C4×C11C2411yescharacteristic
600C22×C4×C11C2411yescharacteristic
601C22×C4×C11C2411yescharacteristic
602C22×C4×C11C2411yescharacteristic
603C22×C4×C11C2414yes—
604C22×C4×C11C2414yes—
605C22×C4×C11C2414yes—
606C22×C4×C11C2414yes—
607C2×C22⋊D11—24no—
608C2×C22⋊D11—24no—
609C2×C22⋊D11—24no—
610C2×C22⋊D11—24no—
611C2×C22⋊D11—24no—
612C2×C22⋊D11—42no—
613C2×C22⋊D11—42no—
614C2×C22⋊D11—42no—
615C2×C22⋊D11—42no—
616C2×C22⋊D11—42no—
617C2×C22⋊D11—42no—
618C2×C22⋊D11—42no—
619C2×C22⋊D11—42no—
620C2×C22⋊D11—42no—
621C2×C22⋊D11—42no—
622C2×C22⋊D11—42no—
623C2×C22⋊D11—42no—
624C2×C22⋊D11—42no—
625C2×C22⋊D11—42no—
626C2×C22⋊D11—42no—
627C2×C22⋊D11—42no—
628C2×C22⋊D11—42no—
629C2×C22⋊D11—416no—
630C2×C22⋊D11—416no—
631C2×C22⋊D11C2414yes—
632C2×C22⋊D11C2414yes—
633C2×C22⋊D11C2414yes—
634C2×C22⋊D11C2414yes—
635C2×C22⋊D11C2414yes—
636C2×C22⋊D11C2414yes—
637C2×C22⋊D11C2414yes—
638C2×C22⋊D11C2414yes—
639C2×C22⋊D11C2414yes—
640C2×C22⋊D11C2414yes—
641C2×C22⋊D11C2414yes—
642C2×C22⋊D11C2414yes—
643C2×C22⋊D11C2414yes—
644C2×C22⋊D11C2414yes—
645C2×C22⋊D11C2414yes—
646C2×C22⋊D11C2414yes—
647C2×C22⋊D11C2414yes—
648C2×C22⋊D11C2414yes—
649C2×C22⋊D11C2414yes—
650C2×C22⋊D11C2414yes—
651C2×C22⋊D11C2414yes—
652C2×C22⋊D11C2414yes—
653C22×Dic11—24no—
654C22×Dic11—24no—
655C22×Dic11—42no—
656C22×Dic11—42no—
657C22×Dic11C2414yes—
658C22×Dic11C2414yes—
659C22×Dic11C2411yescharacteristic
660C22×Dic11C2411yescharacteristic
661C22×Dic11C2411yescharacteristic
662C22×Dic11C2411yescharacteristic
663C22×Dic11C2411yescharacteristic
664C22×Dic11C2411yescharacteristic
665C22×Dic11C2411yescharacteristic
666C22×Dic11C2411yescharacteristic
667C22×Dic11C2411yescharacteristic
668C22×Dic11C2414yes—
669C22×Dic11C2414yes—
670C22×Dic11C2411yescharacteristic
671#4343—416no—
672#4341—416no—
673D4×D11—416no—
674D4×D11—416no—
675D4×D11—416no—
676D4×D11—416no—
677#4339—416no—
678#4339—416no—
679#4339—416no—
680C2×D44—24no—
681C2×D44—24no—
682C2×D44—42no—
683C2×D44—42no—
684C2×D44—42no—
685C2×D44—42no—
686C2×D44—42no—
687C2×D44—42no—
688C2×D44—42no—
689C2×D44—42no—
690C2×D44—42no—
691C2×D44C2414yes—
692C2×D44C2414yes—
693C2×D44C2414yes—
694C2×D44C2414yes—
695C2×D44C2414yes—
696C2×D44C2414yes—
697C2×D44C2414yes—
698C2×D44C2414yes—
699C2×D44C2414yes—
700C2×D44C2414yes—
701C2×D44C2414yes—
702C2×C4×D11—24no—
703C2×C4×D11—24no—
704C2×C4×D11—24no—
705C2×C4×D11—24no—
706C2×C4×D11—24no—
707C2×C4×D11—42no—
708C2×C4×D11—42no—
709C2×C4×D11—42no—
710C2×C4×D11—42no—
711C2×C4×D11—42no—
712C2×C4×D11—42no—
713C2×C4×D11—42no—
714C2×C4×D11—42no—
715C2×C4×D11—42no—
716C2×C4×D11—416no—
717C2×C4×D11C2414yes—
718C2×C4×D11C2414yes—
719C2×C4×D11C2414yes—
720C2×C4×D11C2414yes—
721C2×C4×D11C2414yes—
722C2×C4×D11C2414yes—
723C2×C4×D11C2414yes—
724C2×C4×D11C2414yes—
725C2×C4×D11C2414yes—
726C2×C4×D11C2414yes—
727C2×C4×D11C2414yes—
728C2×C4×D11C2414yes—
729C2×C4×D11C2414yes—
730C2×C4×D11C2414yes—
731C2×Dic22—24no—
732C2×Dic22—42no—
733C2×Dic22—42no—
734C2×Dic22C2414yes—
735C2×Dic22C2414yes—
736C2×Dic22C2414yes—
737C11×C4⋊C4C2414yes—
738C11×C4⋊C4C2414yes—
739C11×C4⋊C4C2414yes—
740C11×C4⋊C4C2414yes—
741C11×C4⋊C4C2414yes—
742C11×C4⋊C4C2414yes—
743C11×C22⋊C4C2414yes—
744C11×C22⋊C4C2414yes—
745C11×C22⋊C4C2414yes—
746C11×C22⋊C4C2414yes—
747C11×C22⋊C4C2414yes—
748C11×C22⋊C4C2414yes—
749C11×C22⋊C4C2414yes—
750C11×C22⋊C4C2414yes—
751C11×C22⋊C4C2414yes—
752C11×C22⋊C4C2414yes—
753C11×C22⋊C4C2414yes—
754C11×C22⋊C4C2414yes—
755C11×C22⋊C4C2414yes—
756C11×C22⋊C4C2414yes—
757C42×C11C2414yes—
758C42×C11C2414yes—
759C22⋊Dic11C2414yes—
760C22⋊Dic11C2414yes—
761C22⋊Dic11C2414yes—
762C22⋊Dic11C2414yes—
763C22⋊Dic11C2414yes—
764C22⋊Dic11C2414yes—
765C22⋊Dic11C2414yes—
766C22⋊Dic11C2414yes—
767C22⋊Dic11C2414yes—
768C22⋊Dic11C2414yes—
769(C2×D11)⋊C4C2414yes—
770(C2×D11)⋊C4C2414yes—
771(C2×D11)⋊C4C2414yes—
772(C2×D11)⋊C4C2414yes—
773(C2×D11)⋊C4C2414yes—
774(C2×D11)⋊C4C2414yes—
775(C2×D11)⋊C4C2414yes—
776(C2×D11)⋊C4C2414yes—
777(C2×D11)⋊C4C2414yes—
778(C2×D11)⋊C4C2414yes—
779(C2×D11)⋊C4C2414yes—
780(C2×D11)⋊C4C2414yes—
781(C2×D11)⋊C4C2414yes—
782(C2×D11)⋊C4C2414yes—
783(C2×D11)⋊C4C2414yes—
784(C2×D11)⋊C4C2414yes—
785(C2×D11)⋊C4C2414yes—
786(C2×D11)⋊C4C2414yes—
787(C2×D11)⋊C4C2414yes—
788(C2×D11)⋊C4C2414yes—
789(C2×D11)⋊C4C2414yes—
790(C2×D11)⋊C4C2414yes—
791(C2×D11)⋊C4C2414yes—
792(C2×D11)⋊C4C2414yes—
793C4⋊Dic11C2414yes—
794C4⋊Dic11C2414yes—
795C4⋊Dic11C2414yes—
796C4⋊Dic11C2414yes—
797C4⋊Dic11C2414yes—
798C4⋊Dic11C2414yes—
799Dic11⋊C4C2414yes—
800Dic11⋊C4C2414yes—
801Dic11⋊C4C2414yes—
802Dic11⋊C4C2414yes—
803Dic11⋊C4C2414yes—
804Dic11⋊C4C2414yes—
805Dic11⋊C4C2414yes—
806Dic11⋊C4C2414yes—
807Dic11⋊C4C2414yes—
808Dic11⋊C4C2414yes—
809Dic11⋊C4C2414yes—
810Dic11⋊C4C2414yes—
811Dic11⋊C4C2414yes—
812Dic11⋊C4C2414yes—
813Dic11⋊C4C2414yes—
814Dic11⋊C4C2414yes—
815C4×Dic11C2414yes—
816C4×Dic11C2414yes—
817C4×Dic11C2414yes—
818C4×Dic11C2414yes—
819C4×Dic11C2414yes—
820C4×Dic11C2414yes—
821#3542—1132no—
822C2×#562—111no—
823C2×#562—111no—
824C2×#560—111no—
825C2×#560—111no—
826C2×#555—111no—
827C2×#553—111no—
828C2×#552—111no—
829C2×#551—111no—
830C2×#551—111no—
831C2×#550—111no—
832C2×#547—111no—
833C2×#546—111no—
834C2×#546—111no—
835C2×#546—111no—
836C2×#546—111no—
837C2×D42—111no—
838C2×#542—111no—
839C2×#540—111no—
840C2×#540—111no—
841C2×#540—111no—
842C2×#538—111no—
843C2×#538D1111yescharacteristic, complemented
844C2×#537—111no—
845C2×#535—111no—
846C2×#535—111no—
847C2×#535—111no—
848C2×#534—111no—
849C2×#534—111no—
850C2×#525—111no—
851C2×#525—111no—
852C22×#121—111no—
853C23×C11—22no—
854C23×C11—22no—
855C23×C11—22no—
856C23×C11—22no—
857C23×C11—22no—
858C23×C11—22no—
859C23×C11—22no—
860C23×C11—22no—
861C23×C11—22no—
862C23×C11—22no—
863C23×C11—22no—
864C23×C11—22no—
865C23×C11—22no—
866C23×C11—22no—
867C23×C11—22no—
868C23×C11—44no—
869C23×C11—44no—
870C23×C11—44no—
871C23×C11—88no—
872C23×C11C2512yes—
873C23×C11C2512yes—
874C23×C11C2512yes—
875C23×C11C2512yes—
876C23×C11C2512yes—
877C23×C11C2511yescharacteristic
878C22×D11—22no—
879C22×D11—22no—
880C22×D11—22no—
881C22×D11—22no—
882C22×D11—22no—
883C22×D11—22no—
884C22×D11—22no—
885C22×D11—22no—
886C22×D11—22no—
887C22×D11—22no—
888C22×D11—22no—
889C22×D11—22no—
890C22×D11—22no—
891C22×D11—22no—
892C22×D11—22no—
893C22×D11—22no—
894C22×D11—22no—
895C22×D11—28no—
896C22×D11—28no—
897C22×D11—28no—
898C22×D11—44no—
899C22×D11—44no—
900C22×D11—44no—
901C22×D11—44no—
902C22×D11—44no—
903C22×D11—44no—
904C22×D11—44no—
905C22×D11—44no—
906C22×D11—44no—
907C22×D11—416no—
908C22×D11—88no—
909C22×D11—88no—
910C22×D11—88no—
911C22×D11H(5,𝔽2)14yes—
912C22×D11C2512yes—
913C22×D11C2512yes—
914C22×D11C2512yes—
915C22×D11C2512yes—
916C22×D11C2512yes—
917C22×D11C2512yes—
918Q8×C11—44no—
919D4×C11—44no—
920D4×C11—44no—
921D4×C11—44no—
922D4×C11—44no—
923D4×C11—44no—
924D4×C11—44no—
925D4×C11—44no—
926C2×C4×C11—22no—
927C2×C4×C11—22no—
928C2×C4×C11—22no—
929C2×C4×C11—22no—
930C2×C4×C11—22no—
931C2×C4×C11—22no—
932C2×C4×C11—22no—
933C2×C4×C11—22no—
934C2×C4×C11—22no—
935C2×C4×C11—22no—
936C2×C4×C11—44no—
937C2×C4×C11—44no—
938C2×C4×C11—44no—
939C2×C4×C11—44no—
940C2×C4×C11C2512yes—
941C2×C4×C11C2512yes—
942C2×C4×C11C2512yes—
943C2×C4×C11C2512yes—
944C2×C4×C11C2512yes—
945C2×C4×C11C2512yes—
946C2×C4×C11C2512yes—
947C2×C4×C11C2512yes—
948C2×C4×C11C2512yes—
949C2×C4×C11C2512yes—
950C22⋊D11—28no—
951C22⋊D11—28no—
952C22⋊D11—28no—
953C22⋊D11—28no—
954C22⋊D11—28no—
955C22⋊D11—44no—
956C22⋊D11—44no—
957C22⋊D11—44no—
958C22⋊D11—44no—
959C22⋊D11—44no—
960C22⋊D11—44no—
961C22⋊D11—44no—
962C22⋊D11—44no—
963C22⋊D11—44no—
964C22⋊D11—44no—
965C22⋊D11—44no—
966C22⋊D11—44no—
967C22⋊D11—44no—
968C22⋊D11—44no—
969C22⋊D11—44no—
970C22⋊D11—44no—
971C22⋊D11—44no—
972C2×Dic11—22no—
973C2×Dic11—22no—
974C2×Dic11—22no—
975C2×Dic11—22no—
976C2×Dic11—22no—
977C2×Dic11—22no—
978C2×Dic11—22no—
979C2×Dic11—22no—
980C2×Dic11—22no—
981C2×Dic11—28no—
982C2×Dic11—28no—
983C2×Dic11—44no—
984C2×Dic11—44no—
985C2×Dic11H(5,𝔽2)14yes—
986C2×Dic11C2512yes—
987C2×Dic11C2512yes—
988C2×Dic11C2512yes—
989C2×Dic11C2512yes—
990C2×Dic11C2512yes—
991C2×Dic11C2512yes—
992C2×Dic11C2512yes—
993C2×Dic11C2512yes—
994C2×Dic11C2512yes—
995C2×Dic11C2512yes—
996D44—28no—
997D44—28no—
998D44—44no—
999D44—44no—
1000D44—44no—
1001D44—44no—
1002D44—44no—
1003D44—44no—
1004D44—44no—
1005D44—44no—
1006D44—44no—
1007C4×D11—28no—
1008C4×D11—28no—
1009C4×D11—28no—
1010C4×D11—28no—
1011C4×D11—28no—
1012C4×D11—44no—
1013C4×D11—44no—
1014C4×D11—44no—
1015C4×D11—44no—
1016C4×D11—44no—
1017C4×D11—44no—
1018C4×D11—44no—
1019C4×D11—44no—
1020C4×D11—44no—
1021Dic22—28no—
1022Dic22—44no—
1023Dic22—44no—
1024C22×#41—111no—
1025C22×#41—111no—
1026C22×#41—111no—
1027C22×#41—111no—
1028C22×#41—111no—
1029C23×D4—111no—
1030C23×D4—111no—
1031C23×D4—111no—
1032C23×D4—111no—
1033C23×D4—111no—
1034C23×D4—111no—
1035C24×C4—111no—
1036#562—1116no—
1037#562—1116no—
1038#560—1116no—
1039#560—1116no—
1040#555—1116no—
1041#553—1116no—
1042#552—1116no—
1043#551—1116no—
1044#551—1116no—
1045#550—1116no—
1046#547—1116no—
1047#546—1116no—
1048#546—1116no—
1049#546—1116no—
1050#546—1116no—
1051D42—1116no—
1052#542—1116no—
1053#540—1116no—
1054#540—1116no—
1055#540—1116no—
1056#538—1116no—
1057#538C2×D11116yescomplemented
1058#537—1116no—
1059#535—1116no—
1060#535—1116no—
1061#535—1116no—
1062#534—1116no—
1063#534—1116no—
1064C2×C4⋊Q8—111no—
1065C2×#127—111no—
1066C2×#127—111no—
1067C2×#127—111no—
1068C2×#127—111no—
1069C2×#127—111no—
1070C2×#126—111no—
1071C2×#126—111no—
1072C2×#126—111no—
1073C2×#126—111no—
1074C2×#126C2×D1111yescharacteristic, complemented
1075C2×#126C2×D1111yescharacteristic, complemented
1076C2×#125—111no—
1077C2×#125—111no—
1078C2×#125—111no—
1079C2×#124—111no—
1080C2×#124—111no—
1081C2×#124—111no—
1082C2×#124—111no—
1083C2×#124—111no—
1084C2×#124—111no—
1085C2×#124—111no—
1086C2×#124C2×D1111yescharacteristic, complemented
1087C2×#124C2×D1111yescharacteristic, complemented
1088#525—1116no—
1089#525—1116no—
1090C2×#123—111no—
1091C2×#123—111no—
1092C2×#123—111no—
1093C2×#123—111no—
1094C2×#123—111no—
1095C2×#123—111no—
1096C2×#123—111no—
1097C2×#123—111no—
1098C2×#123—111no—
1099C2×#123—111no—
1100C2×#123—111no—
1101C2×#123—111no—
1102C2×#123—111no—
1103C2×#123—111no—
1104C2×#123—111no—
1105C2×#123—111no—
1106C2×#123—111no—
1107C2×#123—111no—
1108C2×#123—111no—
1109C2×#123—111no—
1110C2×#123C2×D1111yescharacteristic, complemented
1111C2×#123C2×D1111yescharacteristic, complemented
1112C2×C22⋊Q8—111no—
1113C2×C22⋊Q8—111no—
1114C2×C22⋊Q8—111no—
1115C2×C22⋊Q8—111no—
1116C2×C22⋊Q8—111no—
1117C2×C22⋊Q8—111no—
1118C2×C22⋊Q8—111no—
1119C2×C22⋊Q8—111no—
1120C2×C22⋊Q8—111no—
1121C2×C22⋊Q8—111no—
1122C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1123C2×#121—111no—
1124C2×#121—111no—
1125C2×#121—111no—
1126C2×#121—111no—
1127C2×#121—111no—
1128C2×#121—111no—
1129C2×#121—111no—
1130C2×#121—111no—
1131C2×#121—111no—
1132C2×#121—111no—
1133C2×#121—111no—
1134C2×#121—111no—
1135C2×#121—111no—
1136C2×#121—111no—
1137C2×#121—111no—
1138C2×#121—111no—
1139C2×#121—111no—
1140C2×#121—1116no—
1141C2×#121—111no—
1142C2×#121—111no—
1143C2×#121—111no—
1144C2×#121—111no—
1145C2×#121—111no—
1146C2×#121—111no—
1147C2×#121—111no—
1148C2×#121—111no—
1149C2×#121—111no—
1150C2×#121—111no—
1151C2×#121—111no—
1152C2×#121—111no—
1153C2×#121—111no—
1154C2×#121—111no—
1155C2×#121—111no—
1156C2×#121—111no—
1157C2×#121—111no—
1158C2×#121—111no—
1159C2×#121—111no—
1160C2×#121C2×D1111yescharacteristic, complemented
1161C2×#121C2×D1111yescharacteristic, complemented
1162C2×#121C2×D1111yescharacteristic, complemented
1163C2×#120—111no—
1164C2×#120—111no—
1165C2×#120—111no—
1166C2×#120—111no—
1167C2×#120—111no—
1168C2×#120—111no—
1169C2×#120—111no—
1170C2×#120—111no—
1171C2×#120—111no—
1172C2×#120—111no—
1173C2×#120—111no—
1174C2×#120—111no—
1175C2×#120—111no—
1176C2×#120—111no—
1177C2×#120C2×D1111yescharacteristic, complemented
1178C2×#120C2×D1111yescharacteristic, complemented
1179C2×C4×Q8—111no—
1180C2×C4×D4—111no—
1181C2×C4×D4—111no—
1182C2×C4×D4—111no—
1183C2×C4×D4—111no—
1184C2×C4×D4—111no—
1185C2×C4×D4—111no—
1186C2×C4×D4—111no—
1187C2×C4×D4—111no—
1188C2×C4×D4—111no—
1189C2×C4×D4—111no—
1190C2×C4×D4—111no—
1191C2×C4×D4—111no—
1192C2×C4×D4—111no—
1193C2×C4×D4C2×D1111yescharacteristic, complemented
1194C2×C4×D4C2×D1111yescharacteristic, complemented
1195C2×#117—111no—
1196C2×#117—111no—
1197C2×#117—111no—
1198C2×#117—111no—
1199C2×#117—111no—
1200C2×#117—111no—
1201C2×#117—111no—
1202C22×C4⋊C4—111no—
1203C22×C4⋊C4—111no—
1204C22×C22⋊C4—111no—
1205C22×C22⋊C4—111no—
1206C22×C22⋊C4—111no—
1207C22×C22⋊C4—111no—
1208C22×C22⋊C4—111no—
1209C22×C22⋊C4C2×D1111yescharacteristic, complemented
1210C22×C11—22no—
1211C22×C11—22no—
1212C22×C11—22no—
1213C22×C11—22no—
1214C22×C11—22no—
1215C22×C11—22no—
1216C22×C11—22no—
1217C22×C11—22no—
1218C22×C11—22no—
1219C22×C11—22no—
1220C22×C11—22no—
1221C22×C11—22no—
1222C22×C11—22no—
1223C22×C11—22no—
1224C22×C11—22no—
1225C22×C11—44no—
1226C22×C11—44no—
1227C22×C11—44no—
1228C22×C11—44no—
1229C22×C11—44no—
1230C22×C11—88no—
1231C22×C11C2×H(5,𝔽2)12yes—
1232C22×C11C2×H(5,𝔽2)12yes—
1233C22×C11#58512yes—
1234C22×C11C2611yescharacteristic
1235C2×D11—22no—
1236C2×D11—22no—
1237C2×D11—28no—
1238C2×D11—22no—
1239C2×D11—22no—
1240C2×D11—22no—
1241C2×D11—22no—
1242C2×D11—22no—
1243C2×D11—22no—
1244C2×D11—22no—
1245C2×D11—22no—
1246C2×D11—22no—
1247C2×D11—22no—
1248C2×D11—22no—
1249C2×D11—22no—
1250C2×D11—22no—
1251C2×D11—22no—
1252C2×D11—22no—
1253C2×D11—416no—
1254C2×D11—44no—
1255C2×D11—44no—
1256C2×D11—44no—
1257C2×D11—44no—
1258C2×D11—44no—
1259C2×D11—88no—
1260C2×D11—88no—
1261C2×D11—88no—
1262C2×D11C2×H(5,𝔽2)14yes—
1263C4×C11—22no—
1264C4×C11—22no—
1265C4×C11—22no—
1266C4×C11—22no—
1267C4×C11—22no—
1268C4×C11—22no—
1269C4×C11—22no—
1270C4×C11—22no—
1271C4×C11—22no—
1272C4×C11—22no—
1273Dic11—22no—
1274Dic11—22no—
1275Dic11—22no—
1276Dic11—22no—
1277Dic11—22no—
1278Dic11—22no—
1279Dic11—22no—
1280Dic11—22no—
1281Dic11—22no—
1282Dic11C2×H(5,𝔽2)14yes—
1283C25—111no—
1284C25—111no—
1285C25—111no—
1286C25—111no—
1287C25C22×D1111yescharacteristic
1288C2×#41—118no—
1289C2×#41—118no—
1290C2×#41—118no—
1291C2×#41—118no—
1292C2×#41—118no—
1293C2×#41—444no—
1294C2×#41—444no—
1295C2×#41—444no—
1296C2×#41—444no—
1297C2×#41—444no—
1298C22×Q8—111no—
1299C22×Q8—111no—
1300C22×Q8—111no—
1301C22×Q8C22×D1111yescharacteristic
1302C22×D4—111no—
1303C22×D4—111no—
1304C22×D4—111no—
1305C22×D4—111no—
1306C22×D4—111no—
1307C22×D4—111no—
1308C22×D4—111no—
1309C22×D4—111no—
1310C22×D4—111no—
1311C22×D4—111no—
1312C22×D4—111no—
1313C22×D4—111no—
1314C22×D4—111no—
1315C22×D4—111no—
1316C22×D4—111no—
1317C22×D4—111no—
1318C22×D4—111no—
1319C22×D4—111no—
1320C22×D4—111no—
1321C22×D4—111no—
1322C22×D4—111no—
1323C22×D4—111no—
1324C22×D4—118no—
1325C22×D4—118no—
1326C22×D4—118no—
1327C22×D4—118no—
1328C22×D4—118no—
1329C22×D4—118no—
1330C22×D4—111no—
1331C22×D4—111no—
1332C22×D4—111no—
1333C22×D4—111no—
1334C22×D4—111no—
1335C22×D4—111no—
1336C22×D4—111no—
1337C22×D4—111no—
1338C22×D4—111no—
1339C22×D4—111no—
1340C22×D4—111no—
1341C22×D4—444no—
1342C22×D4—444no—
1343C22×D4—444no—
1344C22×D4—444no—
1345C22×D4—444no—
1346C22×D4—444no—
1347C22×D4C22×D1111yescharacteristic
1348C22×D4C22×D1111yescharacteristic
1349C22×D4C22×D1111yescharacteristic
1350C22×D4C22×D1111yescharacteristic
1351C22×D4C22×D1111yescharacteristic
1352C22×D4C22×D1111yescharacteristic
1353C22×D4C22×D1111yescharacteristic
1354C23×C4—111no—
1355C23×C4—111no—
1356C23×C4—111no—
1357C23×C4—111no—
1358C23×C4—111no—
1359C23×C4—111no—
1360C23×C4—111no—
1361C23×C4—111no—
1362C23×C4—111no—
1363C23×C4—111no—
1364C23×C4—111no—
1365C23×C4—111no—
1366C23×C4—111no—
1367C23×C4—111no—
1368C23×C4—111no—
1369C23×C4—111no—
1370C23×C4—111no—
1371C23×C4—111no—
1372C23×C4—118no—
1373C23×C4—444no—
1374C23×C4C22×D1111yescharacteristic
1375C23×C4C22×D1111yescharacteristic
1376C23×C4C22×D1111yescharacteristic
1377C23×C4C22×D1111yescharacteristic
1378C4⋊Q8—118no—
1379#127—118no—
1380#127—118no—
1381#127—118no—
1382#127—118no—
1383#127—118no—
1384#126—118no—
1385#126—118no—
1386#126—118no—
1387#126—118no—
1388#126C22×D1118yescomplemented
1389#126C22×D1118yescomplemented
1390#125—118no—
1391#125—118no—
1392#125—118no—
1393#124—118no—
1394#124—118no—
1395#124—118no—
1396#124—118no—
1397#124—118no—
1398#124—118no—
1399#124—118no—
1400#124C22×D1118yescomplemented
1401#124C22×D1118yescomplemented
1402#123—118no—
1403#123—118no—
1404#123—118no—
1405#123—118no—
1406#123—118no—
1407#123—118no—
1408#123—118no—
1409#123—118no—
1410#123—118no—
1411#123—118no—
1412#123—118no—
1413#123—118no—
1414#123—118no—
1415#123—118no—
1416#123—118no—
1417#123—118no—
1418#123—118no—
1419#123—118no—
1420#123—118no—
1421#123—118no—
1422#123C22×D1118yescomplemented
1423#123C22×D1118yescomplemented
1424C22⋊Q8—118no—
1425C22⋊Q8—118no—
1426C22⋊Q8—118no—
1427C22⋊Q8—118no—
1428C22⋊Q8—118no—
1429C22⋊Q8—118no—
1430C22⋊Q8—118no—
1431C22⋊Q8—118no—
1432C22⋊Q8—118no—
1433C22⋊Q8—118no—
1434C22⋊Q8C22×D1118yescomplemented
1435#121—118no—
1436#121—118no—
1437#121—118no—
1438#121—118no—
1439#121—118no—
1440#121—118no—
1441#121—118no—
1442#121—118no—
1443#121—118no—
1444#121—118no—
1445#121—118no—
1446#121—118no—
1447#121—118no—
1448#121—118no—
1449#121—118no—
1450#121—118no—
1451#121—118no—
1452#121—118no—
1453#121—118no—
1454#121—118no—
1455#121—118no—
1456#121—118no—
1457#121—118no—
1458#121—118no—
1459#121—118no—
1460#121—118no—
1461#121—118no—
1462#121—118no—
1463#121—118no—
1464#121—118no—
1465#121—118no—
1466#121—118no—
1467#121—118no—
1468#121—118no—
1469#121—118no—
1470#121—118no—
1471#121C22×D1118yescomplemented
1472#121C22×D1118yescomplemented
1473#121C22×D1118yescomplemented
1474#120—118no—
1475#120—118no—
1476#120—118no—
1477#120—118no—
1478#120—118no—
1479#120—118no—
1480#120—118no—
1481#120—118no—
1482#120—118no—
1483#120—118no—
1484#120—118no—
1485#120—118no—
1486#120—118no—
1487#120—118no—
1488#120C22×D1118yescomplemented
1489#120C22×D1118yescomplemented
1490C4×Q8—118no—
1491C4×D4—118no—
1492C4×D4—118no—
1493C4×D4—118no—
1494C4×D4—118no—
1495C4×D4—118no—
1496C4×D4—118no—
1497C4×D4—118no—
1498C4×D4—118no—
1499C4×D4—118no—
1500C4×D4—118no—
1501C4×D4—118no—
1502C4×D4—118no—
1503C4×D4—118no—
1504C4×D4C22×D1118yescomplemented
1505C4×D4C22×D1118yescomplemented
1506#117—118no—
1507#117—118no—
1508#117—118no—
1509#117—118no—
1510#117—118no—
1511#117—118no—
1512#117—118no—
1513C2×C4⋊C4—111no—
1514C2×C4⋊C4—111no—
1515C2×C4⋊C4—111no—
1516C2×C4⋊C4—111no—
1517C2×C4⋊C4—111no—
1518C2×C4⋊C4—111no—
1519C2×C4⋊C4—111no—
1520C2×C4⋊C4—111no—
1521C2×C4⋊C4—111no—
1522C2×C4⋊C4—111no—
1523C2×C4⋊C4—111no—
1524C2×C4⋊C4—111no—
1525C2×C4⋊C4—111no—
1526C2×C4⋊C4—111no—
1527C2×C4⋊C4—111no—
1528C2×C4⋊C4—111no—
1529C2×C4⋊C4—111no—
1530C2×C4⋊C4—111no—
1531C2×C4⋊C4—111no—
1532C2×C4⋊C4—111no—
1533C2×C4⋊C4—111no—
1534C2×C4⋊C4—111no—
1535C2×C4⋊C4—118no—
1536C2×C4⋊C4—118no—
1537C2×C4⋊C4C22×D1111yescharacteristic
1538C2×C4⋊C4C22×D1111yescharacteristic
1539C2×C4⋊C4C22×D1111yescharacteristic
1540C2×C4⋊C4C22×D1111yescharacteristic
1541C2×C4⋊C4C22×D1111yescharacteristic
1542C2×C4⋊C4C22×D1111yescharacteristic
1543C2×C22⋊C4—111no—
1544C2×C22⋊C4—111no—
1545C2×C22⋊C4—111no—
1546C2×C22⋊C4—111no—
1547C2×C22⋊C4—111no—
1548C2×C22⋊C4—111no—
1549C2×C22⋊C4—111no—
1550C2×C22⋊C4—111no—
1551C2×C22⋊C4—111no—
1552C2×C22⋊C4—111no—
1553C2×C22⋊C4—111no—
1554C2×C22⋊C4—111no—
1555C2×C22⋊C4—111no—
1556C2×C22⋊C4—111no—
1557C2×C22⋊C4—111no—
1558C2×C22⋊C4—111no—
1559C2×C22⋊C4—111no—
1560C2×C22⋊C4—111no—
1561C2×C22⋊C4—111no—
1562C2×C22⋊C4—111no—
1563C2×C22⋊C4—118no—
1564C2×C22⋊C4—111no—
1565C2×C22⋊C4—111no—
1566C2×C22⋊C4—111no—
1567C2×C22⋊C4—111no—
1568C2×C22⋊C4—111no—
1569C2×C22⋊C4—111no—
1570C2×C22⋊C4—111no—
1571C2×C22⋊C4—111no—
1572C2×C22⋊C4—111no—
1573C2×C22⋊C4—111no—
1574C2×C22⋊C4—111no—
1575C2×C22⋊C4—111no—
1576C2×C22⋊C4—111no—
1577C2×C22⋊C4—111no—
1578C2×C22⋊C4—118no—
1579C2×C22⋊C4—118no—
1580C2×C22⋊C4—118no—
1581C2×C22⋊C4—118no—
1582C2×C22⋊C4C22×D1111yescharacteristic
1583C2×C22⋊C4C22×D1111yescharacteristic
1584C2×C22⋊C4C22×D1111yescharacteristic
1585C2×C22⋊C4C22×D1111yescharacteristic
1586C2×C22⋊C4C22×D1111yescharacteristic
1587C2×C22⋊C4C22×D1111yescharacteristic
1588C2×C22⋊C4C22×D1111yescharacteristic
1589C2×C22⋊C4C22×D1111yescharacteristic
1590C2×C22⋊C4C22×D1111yescharacteristic
1591C2×C22⋊C4C22×D1111yescharacteristic
1592C2×C22⋊C4C22×D1111yescharacteristic
1593C2×C22⋊C4C22×D1111yescharacteristic
1594C2×C22⋊C4C22×D1111yescharacteristic
1595C2×C22⋊C4C22×D1111yescharacteristic
1596C2×C22⋊C4C22×D1118yescomplemented
1597C2×C42—111no—
1598C2×C42—111no—
1599C2×C42—111no—
1600C2×C42—111no—
1601C2×C42—111no—
1602C2×C42—111no—
1603C2×C42C22×D1111yescharacteristic
1604C2×C42C22×D1111yescharacteristic
1605C2×C11—42no—
1606C2×C11—42no—
1607C2×C11—42no—
1608C2×C11—42no—
1609C2×C11—42no—
1610C2×C11#354214yescomplemented
1611C2×C11C22×H(5,𝔽2)11yescharacteristic
1612C2×C11C22×H(5,𝔽2)11yescharacteristic
1613C2×C11C2×#58511yescharacteristic
1614D11—24no—
1615D11—42no—
1616D11—42no—
1617D11—42no—
1618D11—42no—
1619D11—42no—
1620C24—42no—
1621C24—42no—
1622C24—42no—
1623C24—111no—
1624C24—111no—
1625C24—111no—
1626C24—111no—
1627C24—111no—
1628C24—111no—
1629C24—114no—
1630C24—114no—
1631C24—114no—
1632C24—114no—
1633C24—224no—
1634C24—224no—
1635C24—224no—
1636C24—442no—
1637C24—442no—
1638C24—442no—
1639C24—442no—
1640C24—442no—
1641C24—442no—
1642C24—442no—
1643C24—442no—
1644C24—442no—
1645C24C23×D1111yescharacteristic
1646C24C23×D1111yescharacteristic
1647C24C23×D1111yescharacteristic
1648C24C23×D1111yescharacteristic
1649C24C23×D1111yescharacteristic
1650C24C23×D1114yes—
1651#41—4416no—
1652#41—4416no—
1653#41—4416no—
1654#41—4416no—
1655#41—4416no—
1656C2×Q8—42no—
1657C2×Q8—114no—
1658C2×Q8—114no—
1659C2×Q8—114no—
1660C2×Q8—224no—
1661C2×Q8—442no—
1662C2×Q8—442no—
1663C2×Q8C23×D1114yes—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—114no—
1672C2×D4—114no—
1673C2×D4—114no—
1674C2×D4—114no—
1675C2×D4—114no—
1676C2×D4—114no—
1677C2×D4—114no—
1678C2×D4—114no—
1679C2×D4—114no—
1680C2×D4—114no—
1681C2×D4—114no—
1682C2×D4—114no—
1683C2×D4—114no—
1684C2×D4—114no—
1685C2×D4—114no—
1686C2×D4—114no—
1687C2×D4—114no—
1688C2×D4—114no—
1689C2×D4—114no—
1690C2×D4—114no—
1691C2×D4—114no—
1692C2×D4—114no—
1693C2×D4—114no—
1694C2×D4—114no—
1695C2×D4—114no—
1696C2×D4—114no—
1697C2×D4—114no—
1698C2×D4—114no—
1699C2×D4—114no—
1700C2×D4—114no—
1701C2×D4—114no—
1702C2×D4—114no—
1703C2×D4—114no—
1704C2×D4—224no—
1705C2×D4—224no—
1706C2×D4—224no—
1707C2×D4—224no—
1708C2×D4—224no—
1709C2×D4—224no—
1710C2×D4—224no—
1711C2×D4—442no—
1712C2×D4—442no—
1713C2×D4—442no—
1714C2×D4—442no—
1715C2×D4—442no—
1716C2×D4—442no—
1717C2×D4—442no—
1718C2×D4—442no—
1719C2×D4—442no—
1720C2×D4—4416no—
1721C2×D4—4416no—
1722C2×D4—4416no—
1723C2×D4—4416no—
1724C2×D4—442no—
1725C2×D4—442no—
1726C2×D4—442no—
1727C2×D4—442no—
1728C2×D4—442no—
1729C2×D4—442no—
1730C2×D4—442no—
1731C2×D4—442no—
1732C2×D4—442no—
1733C2×D4—442no—
1734C2×D4—442no—
1735C2×D4—442no—
1736C2×D4—442no—
1737C2×D4—442no—
1738C2×D4—442no—
1739C2×D4—442no—
1740C2×D4—442no—
1741C2×D4—4416no—
1742C2×D4—4416no—
1743C2×D4C23×D1114yes—
1744C2×D4C23×D1114yes—
1745C2×D4C23×D1114yes—
1746C2×D4C23×D1114yes—
1747C2×D4C23×D1114yes—
1748C2×D4C23×D1114yes—
1749C2×D4C23×D1114yes—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—111no—
1755C22×C4—114no—
1756C22×C4—114no—
1757C22×C4—111no—
1758C22×C4—111no—
1759C22×C4—111no—
1760C22×C4—111no—
1761C22×C4—111no—
1762C22×C4—111no—
1763C22×C4—111no—
1764C22×C4—111no—
1765C22×C4—111no—
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—224no—
1783C22×C4—224no—
1784C22×C4—224no—
1785C22×C4—224no—
1786C22×C4—224no—
1787C22×C4—224no—
1788C22×C4—224no—
1789C22×C4—442no—
1790C22×C4—442no—
1791C22×C4—442no—
1792C22×C4—442no—
1793C22×C4—442no—
1794C22×C4—442no—
1795C22×C4—442no—
1796C22×C4—442no—
1797C22×C4—442no—
1798C22×C4—4416no—
1799C22×C4—442no—
1800C22×C4—442no—
1801C22×C4C23×D1111yescharacteristic
1802C22×C4C23×D1111yescharacteristic
1803C22×C4C23×D1111yescharacteristic
1804C22×C4C23×D1111yescharacteristic
1805C22×C4C23×D1111yescharacteristic
1806C22×C4C23×D1111yescharacteristic
1807C22×C4C23×D1111yescharacteristic
1808C22×C4C23×D1111yescharacteristic
1809C22×C4C23×D1111yescharacteristic
1810C22×C4C23×D1111yescharacteristic
1811C22×C4C23×D1114yes—
1812C22×C4C23×D1114yes—
1813C22×C4C23×D1114yes—
1814C22×C4C23×D1114yes—
1815C4⋊C4—114no—
1816C4⋊C4—114no—
1817C4⋊C4—114no—
1818C4⋊C4—114no—
1819C4⋊C4—114no—
1820C4⋊C4—114no—
1821C4⋊C4—114no—
1822C4⋊C4—114no—
1823C4⋊C4—114no—
1824C4⋊C4—114no—
1825C4⋊C4—114no—
1826C4⋊C4—114no—
1827C4⋊C4—114no—
1828C4⋊C4—114no—
1829C4⋊C4—114no—
1830C4⋊C4—114no—
1831C4⋊C4—114no—
1832C4⋊C4—114no—
1833C4⋊C4—114no—
1834C4⋊C4—114no—
1835C4⋊C4—114no—
1836C4⋊C4—114no—
1837C4⋊C4C23×D1114yes—
1838C4⋊C4C23×D1114yes—
1839C4⋊C4C23×D1114yes—
1840C4⋊C4C23×D1114yes—
1841C4⋊C4C23×D1114yes—
1842C4⋊C4C23×D1114yes—
1843C22⋊C4—114no—
1844C22⋊C4—114no—
1845C22⋊C4—114no—
1846C22⋊C4—114no—
1847C22⋊C4—114no—
1848C22⋊C4—114no—
1849C22⋊C4—114no—
1850C22⋊C4—114no—
1851C22⋊C4—114no—
1852C22⋊C4—114no—
1853C22⋊C4—114no—
1854C22⋊C4—114no—
1855C22⋊C4—114no—
1856C22⋊C4—114no—
1857C22⋊C4—114no—
1858C22⋊C4—114no—
1859C22⋊C4—114no—
1860C22⋊C4—114no—
1861C22⋊C4—114no—
1862C22⋊C4—114no—
1863C22⋊C4—114no—
1864C22⋊C4—114no—
1865C22⋊C4—114no—
1866C22⋊C4—114no—
1867C22⋊C4—114no—
1868C22⋊C4—114no—
1869C22⋊C4—114no—
1870C22⋊C4—114no—
1871C22⋊C4—114no—
1872C22⋊C4—114no—
1873C22⋊C4—114no—
1874C22⋊C4—114no—
1875C22⋊C4—114no—
1876C22⋊C4—114no—
1877C22⋊C4C23×D1114yes—
1878C22⋊C4C23×D1114yes—
1879C22⋊C4C23×D1114yes—
1880C22⋊C4C23×D1114yes—
1881C22⋊C4C23×D1114yes—
1882C22⋊C4C23×D1114yes—
1883C22⋊C4C23×D1114yes—
1884C22⋊C4C23×D1114yes—
1885C22⋊C4C23×D1114yes—
1886C22⋊C4C23×D1114yes—
1887C22⋊C4C23×D1114yes—
1888C22⋊C4C23×D1114yes—
1889C22⋊C4C23×D1114yes—
1890C22⋊C4C23×D1114yes—
1891C42—114no—
1892C42—114no—
1893C42—114no—
1894C42—114no—
1895C42—114no—
1896C42—114no—
1897C42C23×D1114yes—
1898C42C23×D1114yes—
1899C11C2×#354211yescharacteristic, complemented, Sylow
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—44no—
1916C23—44no—
1917C23—44no—
1918C23—88no—
1919C23—114no—
1920C23—112no—
1921C23—112no—
1922C23—112no—
1923C23—112no—
1924C23—112no—
1925C23—112no—
1926C23—228no—
1927C23—228no—
1928C23—228no—
1929C23—222no—
1930C23—222no—
1931C23—222no—
1932C23—222no—
1933C23—222no—
1934C23—222no—
1935C23—222no—
1936C23—222no—
1937C23—222no—
1938C23—222no—
1939C23—222no—
1940C23—222no—
1941C23—222no—
1942C23—222no—
1943C23—222no—
1944C23—222no—
1945C23—222no—
1946C23—444no—
1947C23—444no—
1948C23—444no—
1949C23—444no—
1950C23—444no—
1951C23—444no—
1952C23—444no—
1953C23—444no—
1954C23—444no—
1955C23—4416no—
1956C23—888no—
1957C23—888no—
1958C23—888no—
1959C23C24×D1112yes—
1960C23C24×D1112yes—
1961C23C24×D1112yes—
1962C23C24×D1112yes—
1963C23C24×D1112yes—
1964C23C24×D1111yescharacteristic
1965Q8—44no—
1966Q8—228no—
1967Q8—444no—
1968Q8—444no—
1969D4—44no—
1970D4—44no—
1971D4—44no—
1972D4—44no—
1973D4—44no—
1974D4—44no—
1975D4—44no—
1976D4—228no—
1977D4—228no—
1978D4—228no—
1979D4—228no—
1980D4—228no—
1981D4—228no—
1982D4—228no—
1983D4—444no—
1984D4—444no—
1985D4—444no—
1986D4—444no—
1987D4—444no—
1988D4—444no—
1989D4—444no—
1990D4—444no—
1991D4—444no—
1992D4—444no—
1993D4—444no—
1994D4—444no—
1995D4—444no—
1996D4—444no—
1997D4—444no—
1998D4—444no—
1999D4—444no—
2000D4—444no—
2001D4—444no—
2002D4—444no—
2003D4—444no—
2004D4—444no—
2005D4—444no—
2006D4—444no—
2007D4—444no—
2008D4—444no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—44no—
2020C2×C4—44no—
2021C2×C4—44no—
2022C2×C4—44no—
2023C2×C4—114no—
2024C2×C4—112no—
2025C2×C4—112no—
2026C2×C4—112no—
2027C2×C4—112no—
2028C2×C4—112no—
2029C2×C4—112no—
2030C2×C4—112no—
2031C2×C4—112no—
2032C2×C4—112no—
2033C2×C4—112no—
2034C2×C4—228no—
2035C2×C4—228no—
2036C2×C4—228no—
2037C2×C4—228no—
2038C2×C4—228no—
2039C2×C4—228no—
2040C2×C4—228no—
2041C2×C4—222no—
2042C2×C4—222no—
2043C2×C4—222no—
2044C2×C4—222no—
2045C2×C4—222no—
2046C2×C4—222no—
2047C2×C4—222no—
2048C2×C4—222no—
2049C2×C4—222no—
2050C2×C4—444no—
2051C2×C4—444no—
2052C2×C4—444no—
2053C2×C4—444no—
2054C2×C4—444no—
2055C2×C4—444no—
2056C2×C4—444no—
2057C2×C4—444no—
2058C2×C4—444no—
2059C2×C4—444no—
2060C2×C4—444no—
2061C2×C4C24×D1112yes—
2062C2×C4C24×D1112yes—
2063C2×C4C24×D1112yes—
2064C2×C4C24×D1112yes—
2065C2×C4C24×D1112yes—
2066C2×C4C24×D1112yes—
2067C2×C4C24×D1112yes—
2068C2×C4C24×D1112yes—
2069C2×C4C24×D1112yes—
2070C2×C4C24×D1112yes—
2071C22—22no—
2072C22—22no—
2073C22—22no—
2074C22—22no—
2075C22—22no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—22no—
2084C22—22no—
2085C22—22no—
2086C22—44no—
2087C22—44no—
2088C22—44no—
2089C22—44no—
2090C22—44no—
2091C22—88no—
2092C22—114no—
2093C22—222no—
2094C22—222no—
2095C22—228no—
2096C22—222no—
2097C22—222no—
2098C22—222no—
2099C22—222no—
2100C22—222no—
2101C22—222no—
2102C22—222no—
2103C22—222no—
2104C22—222no—
2105C22—222no—
2106C22—222no—
2107C22—222no—
2108C22—222no—
2109C22—222no—
2110C22—222no—
2111C22—4416no—
2112C22—444no—
2113C22—444no—
2114C22—444no—
2115C22—444no—
2116C22—444no—
2117C22—888no—
2118C22—888no—
2119C22—888no—
2120C22#1062345312yes—
2121C22D11×H(5,𝔽2)12yes—
2122C22D11×H(5,𝔽2)12yes—
2123C22C25×D1111yescharacteristic
2124C4—22no—
2125C4—22no—
2126C4—22no—
2127C4—22no—
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—22no—
2134C4—114no—
2135C4—222no—
2136C4—222no—
2137C4—222no—
2138C4—222no—
2139C4—222no—
2140C4—222no—
2141C4—222no—
2142C4—222no—
2143C4—222no—
2144C2—42no—
2145C2—42no—
2146C2—42no—
2147C2—42no—
2148C2—42no—
2149C2—224no—
2150C2—442no—
2151C2—442no—
2152C2—442no—
2153C2—442no—
2154C2—442no—
2155C2#1308293114yesdirect product factor
2156C2C2×D11×H(5,𝔽2)11yescharacteristic
2157C2C2×D11×H(5,𝔽2)11yescharacteristic
2158C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#538C2
socleC23×C11C25
hypercenterC2×#538D11
hypocenterC11C2×#3542
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. #13082931C2direct (N × H)
2. C2×#10623198C2semidirect
3. C2×#10623178C2semidirect
4. C2×#10623242C2semidirect
5. C2×#10623126C2semidirect
6. C2×#10623201C2semidirect
7. C2×#10623240C2semidirect
8. C2×#10623239C2semidirect
9. C2×#10623087C2semidirect
10. C2×#10623236C2semidirect
11. C2×#10623084C2semidirect
12. C2×#10623162C2semidirect
13. C2×#10623207C2semidirect
14. C2×#10623185C2semidirect
15. C2×#10623021C2semidirect
16. C2×#10623021C2semidirect
17. C2×#10623121C2semidirect
18. C2×#10623200C2semidirect
19. C2×#10623093C2semidirect
20. C2×#10623146C2semidirect
21. C2×#10623146C2semidirect
22. C2×#10623188C2semidirect
23. C2×#10623139C2semidirect
24. C2×#10623205C2semidirect
25. C2×#10623138C2semidirect
26. C2×#10623123C2semidirect
27. C2×#10623120C2semidirect
28. C2×#10623136C2semidirect
29. C2×#10623078C2semidirect
30. C2×#10623187C2semidirect
31. C2×D11×#121C2semidirect
32. C2×C11×#538C2semidirect
34. C23×C22⋊D11C22semidirect
35. C22×#4343C22semidirect
36. C22×#4341C22semidirect
39. C22×D4×D11C22semidirect
40. C22×D4×D11C22semidirect
41. C22×#4339C22semidirect
42. C22×#4339C22semidirect
43. C22×#4339C22semidirect
44. C23×C4×D11C22semidirect
45. C11×#538C22semidirect
46. C2×C11×#126C22semidirect
47. C2×C11×#126C22semidirect
48. C2×C11×#124C22semidirect
49. C2×C11×#124C22semidirect
50. C2×C11×#123C22semidirect
51. C2×C11×#123C22semidirect
52. C2×C11×C22⋊Q8C22semidirect
53. C2×C11×#121C22semidirect
54. C2×C11×#121C22semidirect
55. C2×C11×#121C22semidirect
56. C2×C11×#120C22semidirect
57. C2×C11×#120C22semidirect
58. C2×C4×D4×C11C22semidirect
59. C2×C4×D4×C11C22semidirect
60. C22×C11×C22⋊C4C22semidirect
61. C2×#67006C22semidirect
62. C2×#67006C22semidirect
63. C2×#67000C22semidirect
64. C2×#66999C22semidirect
65. C2×#66997C22semidirect
66. C2×#66993C22semidirect
67. C2×#66993C22semidirect
68. C2×#66993C22semidirect
69. C2×#66993C22semidirect
71. C2×#66992C22semidirect
72. C2×#66992C22semidirect
73. C2×#66992C22semidirect
74. C2×#66992C22semidirect
75. C2×#66992C22semidirect
76. C2×#66992C22semidirect
77. C2×#66992C22semidirect
78. C2×#66991C22semidirect
79. C2×#66991C22semidirect
80. C2×#66991C22semidirect
81. C2×#66991C22semidirect
82. C2×#66991C22semidirect
85. C2×#66990C22semidirect
86. C2×#66990C22semidirect
87. C2×#66988C22semidirect
88. C2×#66988C22semidirect
89. C2×#66983C22semidirect
90. C2×#66983C22semidirect
91. C2×#66983C22semidirect
92. C2×#66983C22semidirect
93. C2×#66982C22semidirect
94. C2×#66982C22semidirect
95. C2×#66982C22semidirect
96. C2×C4×C22⋊D11C22semidirect
97. C2×C4×C22⋊D11C22semidirect
98. C2×C4×C22⋊D11C22semidirect
99. C22×(C2×D11)⋊C4C22semidirect
100. C2×#66977C22semidirect
101. #10623242C22semidirect
102. #10623240C22semidirect
103. #10623239C22semidirect
104. #10623236C22semidirect
105. #10623207C22semidirect
106. #10623205C22semidirect
107. #10623201C22semidirect
108. #10623200C22semidirect
109. #10623198C22semidirect
110. #10623188C22semidirect
111. #10623187C22semidirect
112. #10623185C22semidirect
113. #10623178C22semidirect
114. #10623162C22semidirect
115. #10623146C22semidirect
116. #10623146C22semidirect
117. #10623139C22semidirect
118. #10623138C22semidirect
119. #10623136C22semidirect
120. D11×#121C22semidirect
121. #10623126C22semidirect
122. #10623123C22semidirect
123. #10623121C22semidirect
124. #10623120C22semidirect
125. #10623093C22semidirect
126. #10623087C22semidirect
127. #10623084C22semidirect
128. #10623078C22semidirect
129. C2×#66951C22semidirect
130. C2×#66950C22semidirect
131. C2×#66950C22semidirect
132. C2×#66949C22semidirect
133. C2×#66949C22semidirect
134. C2×#66949C22semidirect
135. C2×#66948C22semidirect
136. C2×#66948C22semidirect
137. C2×#66948C22semidirect
138. C2×#66947C22semidirect
139. C2×#66947C22semidirect
140. C2×#66947C22semidirect
141. C2×#66947C22semidirect
142. C2×#66947C22semidirect
143. C2×#66947C22semidirect
144. C2×#66946C22semidirect
145. C2×#66946C22semidirect
146. C2×#66946C22semidirect
147. C2×#66945C22semidirect
148. C2×C4⋊C4×D11C22semidirect
149. C2×C4⋊C4×D11C22semidirect
150. C2×#66943C22semidirect
151. C2×#66942C22semidirect
152. C2×#66942C22semidirect
153. C2×#66939C22semidirect
154. C2×#66938C22semidirect
155. C2×#66938C22semidirect
156. C2×#66938C22semidirect
157. C2×#66938C22semidirect
158. C2×#66938C22semidirect
159. C2×#66938C22semidirect
160. #10623021C22semidirect
161. #10623021C22semidirect
165. C2×#66937C22semidirect
166. C2×#66937C22semidirect
167. C2×#66937C22semidirect
168. C2×#66937C22semidirect
169. C2×#66937C22semidirect
170. C2×#66937C22semidirect
171. C2×#66937C22semidirect
172. C2×#66937C22semidirect
173. C2×#66937C22semidirect
174. C2×#66937C22semidirect
175. C2×#66937C22semidirect
176. C2×#66937C22semidirect
177. C2×#66937C22semidirect
180. C2×#66936C22semidirect
181. C2×#66936C22semidirect
182. C2×#66936C22semidirect
183. C2×#66936C22semidirect
184. C2×#66936C22semidirect
185. C2×#66936C22semidirect
187. C2×#66935C22semidirect
188. C2×#66935C22semidirect
189. C2×#66935C22semidirect
190. C2×#66935C22semidirect
191. C2×#66935C22semidirect
192. C2×#66935C22semidirect
193. C2×#66935C22semidirect
195. C2×(C22⋊D11)⋊C4C22semidirect
196. C2×(C22⋊D11)⋊C4C22semidirect
197. C2×(C22⋊D11)⋊C4C22semidirect
198. C2×(C22⋊D11)⋊C4C22semidirect
199. C2×C22⋊C4×D11C22semidirect
200. C2×C22⋊C4×D11C22semidirect
201. C2×C22⋊C4×D11C22semidirect
202. C2×C22⋊C4×D11C22semidirect
203. C2×#66932C22semidirect
204. C2×#66932C22semidirect
205. C2×#66931C22semidirect
206. C2×#66931C22semidirect
207. C2×#66931C22semidirect
208. C2×#66930C22semidirect
209. C2×#66930C22semidirect
210. C2×#66930C22semidirect
211. C2×#66929C22semidirect
212. C2×#66927C22semidirect
213. C2×C4×D44C22semidirect
214. C2×C4×D44C22semidirect
215. C2×#66925C22semidirect
216. C2×#66925C22semidirect
217. C2×#66925C22semidirect
218. C2×C4×Dic22C22semidirect
261. C22×C22⋊D11C23semidirect
267. C2×#4343C23semidirect
269. C2×#4341C23semidirect
276. C2×D4×D11C23semidirect
277. C2×D4×D11C23semidirect
281. C2×#4339C23semidirect
282. C2×#4339C23semidirect
283. C2×#4339C23semidirect
310. C22×C4×D11C23semidirect
314. C11×#126C23semidirect
315. C11×#126C23semidirect
316. C11×#124C23semidirect
317. C11×#124C23semidirect
318. C11×#123C23semidirect
319. C11×#123C23semidirect
320. C11×C22⋊Q8C23semidirect
321. C11×#121C23semidirect
322. C11×#121C23semidirect
323. C11×#121C23semidirect
324. C11×#120C23semidirect
325. C11×#120C23semidirect
326. C4×D4×C11C23semidirect
327. C4×D4×C11C23semidirect
348. C2×C11×C22⋊C4C23semidirect
351. #67006C23semidirect
352. #67006C23semidirect
363. #67000C23semidirect
364. #66999C23semidirect
365. #66997C23semidirect
366. #66993C23semidirect
367. #66993C23semidirect
368. #66993C23semidirect
369. #66993C23semidirect
371. #66992C23semidirect
372. #66992C23semidirect
373. #66992C23semidirect
374. #66992C23semidirect
375. #66992C23semidirect
376. #66992C23semidirect
377. #66992C23semidirect
378. #66991C23semidirect
379. #66991C23semidirect
380. #66991C23semidirect
381. #66991C23semidirect
382. #66991C23semidirect
385. #66990C23semidirect
386. #66990C23semidirect
387. #66988C23semidirect
388. #66988C23semidirect
389. #66983C23semidirect
390. #66983C23semidirect
391. #66983C23semidirect
392. #66983C23semidirect
393. #66982C23semidirect
394. #66982C23semidirect
395. #66982C23semidirect
396. C4×C22⋊D11C23semidirect
397. C4×C22⋊D11C23semidirect
398. C4×C22⋊D11C23semidirect
423. C2×(C2×D11)⋊C4C23semidirect
430. #66977C23semidirect
453. #66951C23semidirect
454. #66950C23semidirect
455. #66950C23semidirect
456. #66949C23semidirect
457. #66949C23semidirect
458. #66949C23semidirect
459. #66948C23semidirect
460. #66948C23semidirect
461. #66948C23semidirect
462. #66947C23semidirect
463. #66947C23semidirect
464. #66947C23semidirect
465. #66947C23semidirect
466. #66947C23semidirect
467. #66947C23semidirect
468. #66946C23semidirect
469. #66946C23semidirect
470. #66946C23semidirect
471. #66945C23semidirect
472. C4⋊C4×D11C23semidirect
473. C4⋊C4×D11C23semidirect
474. #66943C23semidirect
475. #66942C23semidirect
476. #66942C23semidirect
477. #66939C23semidirect
478. #66938C23semidirect
479. #66938C23semidirect
480. #66938C23semidirect
481. #66938C23semidirect
482. #66938C23semidirect
483. #66938C23semidirect
487. #66937C23semidirect
488. #66937C23semidirect
489. #66937C23semidirect
490. #66937C23semidirect
491. #66937C23semidirect
492. #66937C23semidirect
493. #66937C23semidirect
494. #66937C23semidirect
495. #66937C23semidirect
496. #66937C23semidirect
497. #66937C23semidirect
498. #66937C23semidirect
499. #66937C23semidirect
502. #66936C23semidirect
503. #66936C23semidirect
504. #66936C23semidirect
505. #66936C23semidirect
506. #66936C23semidirect
507. #66936C23semidirect
509. #66935C23semidirect
510. #66935C23semidirect
511. #66935C23semidirect
512. #66935C23semidirect
513. #66935C23semidirect
514. #66935C23semidirect
515. #66935C23semidirect
517. (C22⋊D11)⋊C4C23semidirect
518. (C22⋊D11)⋊C4C23semidirect
519. (C22⋊D11)⋊C4C23semidirect
520. (C22⋊D11)⋊C4C23semidirect
521. C22⋊C4×D11C23semidirect
522. C22⋊C4×D11C23semidirect
523. C22⋊C4×D11C23semidirect
524. C22⋊C4×D11C23semidirect
525. #66932C23semidirect
526. #66932C23semidirect
527. #66931C23semidirect
528. #66931C23semidirect
529. #66931C23semidirect
530. #66930C23semidirect
531. #66930C23semidirect
532. #66930C23semidirect
533. #66929C23semidirect
534. #66927C23semidirect
535. C4×D44C23semidirect
536. C4×D44C23semidirect
537. #66925C23semidirect
538. #66925C23semidirect
539. #66925C23semidirect
540. C4×Dic22C23semidirect
843. C2×#538D11semidirect
1057. #538C2×D11semidirect
1074. C2×#126C2×D11semidirect
1075. C2×#126C2×D11semidirect
1086. C2×#124C2×D11semidirect
1087. C2×#124C2×D11semidirect
1110. C2×#123C2×D11semidirect
1111. C2×#123C2×D11semidirect
1122. C2×C22⋊Q8C2×D11semidirect
1160. C2×#121C2×D11semidirect
1161. C2×#121C2×D11semidirect
1162. C2×#121C2×D11semidirect
1177. C2×#120C2×D11semidirect
1178. C2×#120C2×D11semidirect
1193. C2×C4×D4C2×D11semidirect
1194. C2×C4×D4C2×D11semidirect
1209. C22×C22⋊C4C2×D11semidirect
1388. #126C22×D11semidirect
1389. #126C22×D11semidirect
1400. #124C22×D11semidirect
1401. #124C22×D11semidirect
1422. #123C22×D11semidirect
1423. #123C22×D11semidirect
1434. C22⋊Q8C22×D11semidirect
1471. #121C22×D11semidirect
1472. #121C22×D11semidirect
1473. #121C22×D11semidirect
1488. #120C22×D11semidirect
1489. #120C22×D11semidirect
1504. C4×D4C22×D11semidirect
1505. C4×D4C22×D11semidirect
1596. C2×C22⋊C4C22×D11semidirect
1610. C2×C11#3542semidirect
1899. C11C2×#3542semidirect
2155. C2#13082931direct (N × H)

Maximal subgroups

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

subgroupindex
#130829312
C2×#106231982
C2×#106231782
C2×#106232422
C2×#106231262
C2×#106232012
C2×#106232402
C2×#106232392
C2×#106230872
C2×#106232362
C2×#106230842
C2×#106231622
C2×#106232072
C2×#106231852
C2×#106230212
C2×#106231212
C2×#106232002
C2×#106230932
C2×#106231462
C2×#106231882
C2×#106231392
C2×#106232052
C2×#106231382
C2×#106231232
C2×#106231202
C2×#106231362
C2×#106230782
C2×#106231872
C2×D11×#1212
C2×C11×#5382
C2×#354211