Finite Group Databasebeta

← C2×#13083203 #15661257

Subgroups — C2×#13083203 #15661257

Order 2816.

7354 conjugacy classes of subgroups.

The subgroup lattice has 2028 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083203C2132yesmaximal, direct product factor
2C2×#10623152C211yesmaximal, characteristic, complemented
3C2×#10623215C211yesmaximal, characteristic, complemented
4C2×#10623126C211yesmaximal, characteristic, complemented
5C2×#10623151C211yesmaximal, characteristic, complemented
6C2×#10623090C211yesmaximal, characteristic, complemented
7C2×#10623233C211yesmaximal, characteristic, complemented
8C2×#10623240C211yesmaximal, characteristic, complemented
9C2×#10623096C211yesmaximal, characteristic, complemented
10C2×#10623210C211yesmaximal, characteristic, complemented
11C2×#10623026C211yesmaximal, characteristic, complemented
12C2×#10623130C211yesmaximal, characteristic, complemented
13C2×#10623208C211yesmaximal, characteristic, complemented
14C2×#10623208C211yesmaximal, characteristic, complemented
15C2×#10623142C211yesmaximal, characteristic, complemented
16C2×#10623021C211yesmaximal, characteristic, complemented
17C2×#10623122C211yesmaximal, characteristic, complemented
18C2×#10623232C211yesmaximal, characteristic, complemented
19C2×#10623194C211yesmaximal, characteristic, complemented
20C2×#10623093C211yesmaximal, characteristic, complemented
21C2×#10623146C211yesmaximal, characteristic, complemented
22C2×#10623169C211yesmaximal, characteristic, complemented
23C2×#10623196C211yesmaximal, characteristic, complemented
24C2×#10623235C211yesmaximal, characteristic, complemented
25C2×#10623188C211yesmaximal, characteristic, complemented
26C2×#10623124C211yesmaximal, characteristic, complemented
27C2×#10623159C211yesmaximal, characteristic, complemented
28C2×#10623123C211yesmaximal, characteristic, complemented
29C2×#10623127C211yesmaximal, characteristic, complemented
30C2×#10623069C211yesmaximal, characteristic, complemented
31C2×#10623180C211yesmaximal, characteristic, complemented
32C2×C11×#538C211yesmaximal, characteristic, complemented
33C23×C22⋊D11C2211yescharacteristic
34C22×Q8×D11C2211yescharacteristic, complemented
35C22×#4341C2211yescharacteristic
36C22×#4341C2211yescharacteristic
37C22×#4341C2211yescharacteristic, complemented
38C22×#4339C2211yescharacteristic
39C11×#538C22116yescomplemented
40C2×C11×#126C2211yescharacteristic
41C2×C11×#126C2211yescharacteristic, complemented
42C2×C11×#124C2211yescharacteristic
43C2×C11×#124C2211yescharacteristic, complemented
44C2×C11×#123C2211yescharacteristic
45C2×C11×#123C2211yescharacteristic, complemented
46C2×C11×C22⋊Q8C2211yescharacteristic, complemented
47C2×C11×#121C2211yescharacteristic
48C2×C11×#121C2211yescharacteristic, complemented
49C2×C11×#121C2211yescharacteristic, complemented
50C2×C11×#120C2211yescharacteristic
51C2×C11×#120C2211yescharacteristic
52C2×C4×D4×C11C2211yescharacteristic, complemented
53C2×C4×D4×C11C2211yescharacteristic, complemented
54C22×C11×C22⋊C4C2211yescharacteristic
55C2×#67006C2211yescharacteristic
56C2×#67006C2211yescharacteristic
57C22×C22⋊Dic11C2211yescharacteristic
58C2×#66999C2211yescharacteristic, complemented
59C2×#66999C2211yescharacteristic, complemented
60C2×#66999C2211yescharacteristic, complemented
61C2×#66993C2211yescharacteristic
62C2×#66993C2211yescharacteristic
63C2×#66993C2211yescharacteristic, complemented
64C2×#66993C2211yescharacteristic, complemented
65C2×#66992C2211yescharacteristic
66C2×#66992C2211yescharacteristic
67C2×#66992C2211yescharacteristic
68C2×#66992C2211yescharacteristic
69C2×#66992C2211yescharacteristic
70C2×#66992C2211yescharacteristic, complemented
71C2×#66992C2211yescharacteristic, complemented
72C2×#66992C2211yescharacteristic, complemented
73C2×#66992C2211yescharacteristic, complemented
74C2×#66991C2211yescharacteristic
75C2×#66991C2211yescharacteristic
76C2×#66991C2211yescharacteristic
77C2×#66991C2211yescharacteristic, complemented
78C2×#66990C2211yescharacteristic
79C2×#66990C2211yescharacteristic
80C2×#66989C2211yescharacteristic, complemented
81C2×#66988C2211yescharacteristic
82C2×#66988C2211yescharacteristic, complemented
83C2×#66988C2211yescharacteristic, complemented
84C2×D4×Dic11C2211yescharacteristic
85C2×D4×Dic11C2211yescharacteristic, complemented
86C2×#66983C2211yescharacteristic
87C2×#66983C2211yescharacteristic, complemented
88C2×#66983C2211yescharacteristic, complemented
89C2×#66982C2211yescharacteristic
90C2×#66982C2211yescharacteristic, complemented
91C2×#66982C2211yescharacteristic, complemented
92C2×#66982C2211yescharacteristic, complemented
93C2×C4×C22⋊D11C2211yescharacteristic
94C2×C4×C22⋊D11C2211yescharacteristic, complemented
95C2×C4×C22⋊D11C2211yescharacteristic, complemented
96C2×C4×C22⋊D11C2211yescharacteristic, complemented
97C2×#66979C2211yescharacteristic, complemented
98C22×C4⋊Dic11C2211yescharacteristic, complemented
99C2×#66977C2211yescharacteristic, complemented
100C22×C4×Dic11C2211yescharacteristic, complemented
101#10623240C22116yescomplemented
102#10623235C22116yescomplemented
103#10623233C22116yescomplemented
104#10623232C22116yescomplemented
105#10623215C22116yescomplemented
106#10623210C22116yescomplemented
107#10623208C22116yescomplemented
108#10623208C22116yescomplemented
109#10623196C22116yescomplemented
110#10623194C22116yescomplemented
111#10623188C22116yescomplemented
112#10623180C22116yescomplemented
113#10623169C22116yescomplemented
114#10623159C22116yescomplemented
115#10623152C22116yescomplemented
116#10623151C22116yescomplemented
117#10623146C22116yescomplemented
118#10623142C22116yescomplemented
119#10623130C22116yescomplemented
120#10623127C22116yescomplemented
121#10623126C22116yescomplemented
122#10623124C22116yescomplemented
123#10623123C22116yescomplemented
124#10623122C22116yescomplemented
125#10623096C22116yescomplemented
126#10623093C22116yescomplemented
127#10623090C22116yescomplemented
128#10623069C22116yescomplemented
129C2×#66951C2211yescharacteristic, complemented
130C2×#66951C2211yescharacteristic, complemented
131C2×#66951C2211yescharacteristic, complemented
132C2×#66951C2211yescharacteristic, complemented
133C2×#66950C2211yescharacteristic, complemented
134C2×#66949C2211yescharacteristic, complemented
135C2×#66948C2211yescharacteristic, complemented
136C2×#66948C2211yescharacteristic, complemented
137C2×#66947C2211yescharacteristic, complemented
138C2×#66947C2211yescharacteristic, complemented
139C2×#66947C2211yescharacteristic, complemented
140C2×#66946C2211yescharacteristic, complemented
141C2×#66946C2211yescharacteristic, complemented
142C2×#66945C2211yescharacteristic, complemented
143C2×C4⋊C4×D11C2211yescharacteristic, complemented
144C2×#66943C2211yescharacteristic, complemented
145C2×#66942C2211yescharacteristic, complemented
146C2×#66942C2211yescharacteristic, complemented
147C2×#66942C2211yescharacteristic, complemented
148C2×#66942C2211yescharacteristic, complemented
149C2×#66941C2211yescharacteristic, complemented
150C2×#66941C2211yescharacteristic, complemented
151C2×#66940C2211yescharacteristic, complemented
152C2×#66940C2211yescharacteristic, complemented
153#10623026C22116yescomplemented
154C2×#66939C2211yescharacteristic
155C2×#66939C2211yescharacteristic, complemented
156C2×#66939C2211yescharacteristic, complemented
157C2×#66938C2211yescharacteristic
158C2×#66938C2211yescharacteristic
159C2×#66938C2211yescharacteristic
160C2×#66938C2211yescharacteristic
161C2×#66938C2211yescharacteristic
162C2×#66938C2211yescharacteristic
163C2×#66938C2211yescharacteristic, complemented
164C2×#66938C2211yescharacteristic, complemented
165#10623021C22116yescomplemented
166C2×#66937C2211yescharacteristic
167C2×#66937C2211yescharacteristic
168C2×#66937C2211yescharacteristic
169C2×#66937C2211yescharacteristic
170C2×#66937C2211yescharacteristic
171C2×#66937C2211yescharacteristic, complemented
172C2×#66937C2211yescharacteristic, complemented
173C2×#66937C2211yescharacteristic, complemented
174C2×#66937C2211yescharacteristic, complemented
175C2×#66936C2211yescharacteristic
176C2×#66936C2211yescharacteristic
177C2×#66936C2211yescharacteristic
178C2×#66936C2211yescharacteristic, complemented
179C2×#66936C2211yescharacteristic, complemented
180C2×#66936C2211yescharacteristic, complemented
181C2×#66936C2211yescharacteristic, complemented
182C2×#66936C2211yescharacteristic, complemented
183C2×#66936C2211yescharacteristic, complemented
184C2×#66935C2211yescharacteristic
185C2×#66935C2211yescharacteristic
186C2×(C22⋊D11)⋊C4C2211yescharacteristic
187C2×(C22⋊D11)⋊C4C2211yescharacteristic
188C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
189C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
190C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
191C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
192C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
193C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
194C2×C22⋊C4×D11C2211yescharacteristic
195C2×C22⋊C4×D11C2211yescharacteristic
196C2×#66932C2211yescharacteristic
197C2×#66932C2211yescharacteristic
198C2×#66932C2211yescharacteristic
199C2×#66932C2211yescharacteristic
200C2×#66932C2211yescharacteristic, complemented
201C2×#66932C2211yescharacteristic, complemented
202C2×#66931C2211yescharacteristic
203C2×#66931C2211yescharacteristic
204C2×#66931C2211yescharacteristic, complemented
205C2×#66931C2211yescharacteristic, complemented
206C2×#66931C2211yescharacteristic, complemented
207C2×#66931C2211yescharacteristic, complemented
208C2×#66931C2211yescharacteristic, complemented
209C2×#66930C2211yescharacteristic
210C2×#66930C2211yescharacteristic, complemented
211C2×#66928C2211yescharacteristic, complemented
212C2×C4×D44C2211yescharacteristic, complemented
213C2×C4×D44C2211yescharacteristic, complemented
214C2×#66925C2211yescharacteristic, complemented
215C2×#66925C2211yescharacteristic, complemented
216C2×#66923C2211yescharacteristic, complemented
217C2×C4×Dic22C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C25×C11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C22×Q8×C11C2311yescharacteristic
222C22×D4×C11C2311yescharacteristic
223C22×D4×C11C2311yescharacteristic
224C22×D4×C11C2311yescharacteristic
225C22×D4×C11C2311yescharacteristic
226C22×D4×C11C2311yescharacteristic
227C22×D4×C11C2311yescharacteristic
228C22×D4×C11C2311yescharacteristic
229C23×C4×C11C2311yescharacteristic
230C23×C4×C11C2311yescharacteristic
231C23×C4×C11C2311yescharacteristic
232C23×C4×C11C2311yescharacteristic
233C22×C22⋊D11—44no—
234C22×C22⋊D11C2311yescharacteristic
235C22×C22⋊D11C2311yescharacteristic
236C22×C22⋊D11C2311yescharacteristic
237C22×C22⋊D11C2311yescharacteristic
238C22×C22⋊D11C2311yescharacteristic
239C22×C22⋊D11C2311yescharacteristic
240C22×C22⋊D11C2311yescharacteristic
241C22×C22⋊D11C2311yescharacteristic
242C22×C22⋊D11C2311yescharacteristic
243C22×C22⋊D11C2311yescharacteristic
244C22×C22⋊D11C2311yescharacteristic
245C22×C22⋊D11C2311yescharacteristic
246C22×C22⋊D11C2311yescharacteristic
247C22×C22⋊D11C2311yescharacteristic
248C22×C22⋊D11C2311yescharacteristic
249C22×C22⋊D11C2311yescharacteristic
250C22×C22⋊D11C2311yescharacteristic
251C22×C22⋊D11C2311yescharacteristic
252C22×C22⋊D11C2318yes—
253C23×Dic11C2311yescharacteristic
254C23×Dic11C2311yescharacteristic
255C23×Dic11C2311yescharacteristic
256C23×Dic11C2311yescharacteristic
257C23×Dic11C2311yescharacteristic
258C23×Dic11C2311yescharacteristic
259C23×Dic11C2311yescharacteristic
260C2×Q8×D11—44no—
261C2×Q8×D11C2318yescomplemented
262C2×#4341—44no—
263C2×#4341—44no—
264C2×#4341—44no—
265C2×#4341C2318yes—
266C2×#4341C2318yes—
267C2×#4341C2318yescomplemented
268C2×#4339—44no—
269C2×#4339C2318yes—
270C22×D44C2311yescharacteristic
271C22×D44C2311yescharacteristic
272C22×D44C2311yescharacteristic
273C22×D44C2311yescharacteristic
274C22×D44C2311yescharacteristic
275C22×C4×D11C2311yescharacteristic
276C22×C4×D11C2311yescharacteristic
277C22×C4×D11C2311yescharacteristic
278C22×C4×D11C2311yescharacteristic
279C22×C4×D11C2311yescharacteristic
280C22×C4×D11C2311yescharacteristic
281C22×C4×D11C2311yescharacteristic
282C22×C4×D11C2311yescharacteristic
283C22×C4×D11C2311yescharacteristic
284C22×C4×D11C2311yescharacteristic
285C22×Dic22C2311yescharacteristic
286C22×Dic22C2311yescharacteristic
287C22×Dic22C2311yescharacteristic
288C22×Dic22C2311yescharacteristic
289C22×Dic22C2311yescharacteristic
290C11×#126C2318yes—
291C11×#126C2318yescomplemented
292C11×#124C2318yes—
293C11×#124C2318yescomplemented
294C11×#123C2318yes—
295C11×#123C2318yescomplemented
296C11×C22⋊Q8C2318yescomplemented
297C11×#121C2318yes—
298C11×#121C2318yescomplemented
299C11×#121C2318yescomplemented
300C11×#120C2318yes—
301C11×#120C2318yes—
302C4×D4×C11C2318yescomplemented
303C4×D4×C11C2318yescomplemented
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×C22⋊C4C2311yescharacteristic
311C2×C11×C22⋊C4C2311yescharacteristic
312C2×C11×C22⋊C4C2311yescharacteristic
313C2×C11×C22⋊C4C2311yescharacteristic
314C2×C11×C22⋊C4C2311yescharacteristic
315C2×C11×C22⋊C4C2311yescharacteristic
316C2×C11×C22⋊C4C2311yescharacteristic
317C2×C11×C22⋊C4C2311yescharacteristic
318C2×C11×C22⋊C4C2311yescharacteristic
319C2×C11×C22⋊C4C2311yescharacteristic
320C2×C11×C22⋊C4C2311yescharacteristic
321C2×C11×C22⋊C4C2311yescharacteristic
322C2×C11×C22⋊C4C2311yescharacteristic
323C2×C11×C22⋊C4C2311yescharacteristic
324C2×C11×C22⋊C4C2318yes—
325C2×C42×C11C2311yescharacteristic
326C2×C42×C11C2311yescharacteristic
327#67006C2318yes—
328#67006C2318yes—
329C2×C22⋊Dic11C2311yescharacteristic
330C2×C22⋊Dic11C2311yescharacteristic
331C2×C22⋊Dic11C2311yescharacteristic
332C2×C22⋊Dic11C2311yescharacteristic
333C2×C22⋊Dic11C2311yescharacteristic
334C2×C22⋊Dic11C2311yescharacteristic
335C2×C22⋊Dic11C2311yescharacteristic
336C2×C22⋊Dic11C2311yescharacteristic
337C2×C22⋊Dic11C2311yescharacteristic
338C2×C22⋊Dic11C2311yescharacteristic
339C2×C22⋊Dic11C2311yescharacteristic
340C2×C22⋊Dic11C2311yescharacteristic
341C2×C22⋊Dic11C2311yescharacteristic
342C2×C22⋊Dic11C2311yescharacteristic
343C2×C22⋊Dic11C2318yes—
344#66999C2318yescomplemented
345#66999C2318yescomplemented
346#66999C2318yescomplemented
347#66993C2318yes—
348#66993C2318yes—
349#66993C2318yescomplemented
350#66993C2318yescomplemented
351#66992C2318yes—
352#66992C2318yes—
353#66992C2318yes—
354#66992C2318yes—
355#66992C2318yes—
356#66992C2318yescomplemented
357#66992C2318yescomplemented
358#66992C2318yescomplemented
359#66992C2318yescomplemented
360#66991C2318yes—
361#66991C2318yes—
362#66991C2318yes—
363#66991C2318yescomplemented
364#66990C2318yes—
365#66990C2318yes—
366#66989C2318yescomplemented
367#66988C2318yes—
368#66988C2318yescomplemented
369#66988C2318yescomplemented
370D4×Dic11C2318yes—
371D4×Dic11C2318yescomplemented
372#66983C2318yes—
373#66983C2318yescomplemented
374#66983C2318yescomplemented
375#66982C2318yes—
376#66982C2318yescomplemented
377#66982C2318yescomplemented
378#66982C2318yescomplemented
379C4×C22⋊D11C2318yes—
380C4×C22⋊D11C2318yescomplemented
381C4×C22⋊D11C2318yescomplemented
382C4×C22⋊D11C2318yescomplemented
383C2×(C2×D11)⋊C4C2311yescharacteristic
384C2×(C2×D11)⋊C4C2311yescharacteristic
385C2×(C2×D11)⋊C4C2311yescharacteristic
386C2×(C2×D11)⋊C4C2311yescharacteristic
387C2×(C2×D11)⋊C4C2311yescharacteristic
388C2×(C2×D11)⋊C4C2311yescharacteristic
389C2×(C2×D11)⋊C4C2311yescharacteristic
390C2×(C2×D11)⋊C4C2311yescharacteristic
391C2×(C2×D11)⋊C4C2311yescharacteristic
392C2×(C2×D11)⋊C4C2311yescharacteristic
393C2×(C2×D11)⋊C4C2311yescharacteristic
394C2×(C2×D11)⋊C4C2311yescharacteristic
395C2×(C2×D11)⋊C4C2311yescharacteristic
396C2×(C2×D11)⋊C4C2311yescharacteristic
397C2×(C2×D11)⋊C4C2311yescharacteristic
398C2×(C2×D11)⋊C4C2311yescharacteristic
399C2×(C2×D11)⋊C4C2311yescharacteristic
400C2×(C2×D11)⋊C4C2311yescharacteristic
401C2×(C2×D11)⋊C4C2311yescharacteristic
402C2×(C2×D11)⋊C4C2311yescharacteristic
403#66979C2318yescomplemented
404C2×C4⋊Dic11C2311yescharacteristic
405C2×C4⋊Dic11C2311yescharacteristic
406C2×C4⋊Dic11C2311yescharacteristic
407C2×C4⋊Dic11C2311yescharacteristic
408C2×C4⋊Dic11C2311yescharacteristic
409C2×C4⋊Dic11C2311yescharacteristic
410C2×C4⋊Dic11C2311yescharacteristic
411C2×C4⋊Dic11C2311yescharacteristic
412C2×C4⋊Dic11C2311yescharacteristic
413C2×C4⋊Dic11C2311yescharacteristic
414C2×C4⋊Dic11C2318yescomplemented
415#66977C2318yescomplemented
416C2×Dic11⋊C4C2311yescharacteristic
417C2×Dic11⋊C4C2311yescharacteristic
418C2×Dic11⋊C4C2311yescharacteristic
419C2×Dic11⋊C4C2311yescharacteristic
420C2×Dic11⋊C4C2311yescharacteristic
421C2×Dic11⋊C4C2311yescharacteristic
422C2×Dic11⋊C4C2311yescharacteristic
423C2×Dic11⋊C4C2311yescharacteristic
424C2×Dic11⋊C4C2311yescharacteristic
425C2×Dic11⋊C4C2311yescharacteristic
426C2×Dic11⋊C4C2311yescharacteristic
427C2×Dic11⋊C4C2311yescharacteristic
428C2×Dic11⋊C4C2311yescharacteristic
429C2×Dic11⋊C4C2311yescharacteristic
430C2×Dic11⋊C4C2311yescharacteristic
431C2×Dic11⋊C4C2311yescharacteristic
432C2×Dic11⋊C4C2311yescharacteristic
433C2×Dic11⋊C4C2311yescharacteristic
434C2×Dic11⋊C4C2311yescharacteristic
435C2×Dic11⋊C4C2311yescharacteristic
436C2×C4×Dic11C2311yescharacteristic
437C2×C4×Dic11C2311yescharacteristic
438C2×C4×Dic11C2311yescharacteristic
439C2×C4×Dic11C2311yescharacteristic
440C2×C4×Dic11C2311yescharacteristic
441C2×C4×Dic11C2311yescharacteristic
442C2×C4×Dic11C2311yescharacteristic
443C2×C4×Dic11C2311yescharacteristic
444C2×C4×Dic11C2311yescharacteristic
445C2×C4×Dic11C2311yescharacteristic
446C2×C4×Dic11C2318yescomplemented
447#66951C2318yescomplemented
448#66951C2318yescomplemented
449#66951C2318yescomplemented
450#66951C2318yescomplemented
451#66950C2318yescomplemented
452#66949C2318yescomplemented
453#66948C2318yescomplemented
454#66948C2318yescomplemented
455#66947C2318yescomplemented
456#66947C2318yescomplemented
457#66947C2318yescomplemented
458#66946C2318yescomplemented
459#66946C2318yescomplemented
460#66945C2318yescomplemented
461C4⋊C4×D11C2318yescomplemented
462#66943C2318yescomplemented
463#66942C2318yescomplemented
464#66942C2318yescomplemented
465#66942C2318yescomplemented
466#66942C2318yescomplemented
467#66941C2318yescomplemented
468#66941C2318yescomplemented
469#66940C2318yescomplemented
470#66940C2318yescomplemented
471#66939C2318yes—
472#66939C2318yescomplemented
473#66939C2318yescomplemented
474#66938C2318yes—
475#66938C2318yes—
476#66938C2318yes—
477#66938C2318yes—
478#66938C2318yes—
479#66938C2318yes—
480#66938C2318yescomplemented
481#66938C2318yescomplemented
482#66937C2318yes—
483#66937C2318yes—
484#66937C2318yes—
485#66937C2318yes—
486#66937C2318yes—
487#66937C2318yescomplemented
488#66937C2318yescomplemented
489#66937C2318yescomplemented
490#66937C2318yescomplemented
491#66936C2318yes—
492#66936C2318yes—
493#66936C2318yes—
494#66936C2318yescomplemented
495#66936C2318yescomplemented
496#66936C2318yescomplemented
497#66936C2318yescomplemented
498#66936C2318yescomplemented
499#66936C2318yescomplemented
500#66935C2318yes—
501#66935C2318yes—
502(C22⋊D11)⋊C4C2318yes—
503(C22⋊D11)⋊C4C2318yes—
504(C22⋊D11)⋊C4C2318yescomplemented
505(C22⋊D11)⋊C4C2318yescomplemented
506(C22⋊D11)⋊C4C2318yescomplemented
507(C22⋊D11)⋊C4C2318yescomplemented
508(C22⋊D11)⋊C4C2318yescomplemented
509(C22⋊D11)⋊C4C2318yescomplemented
510C22⋊C4×D11C2318yes—
511C22⋊C4×D11C2318yes—
512#66932C2318yes—
513#66932C2318yes—
514#66932C2318yes—
515#66932C2318yes—
516#66932C2318yescomplemented
517#66932C2318yescomplemented
518#66931C2318yes—
519#66931C2318yes—
520#66931C2318yescomplemented
521#66931C2318yescomplemented
522#66931C2318yescomplemented
523#66931C2318yescomplemented
524#66931C2318yescomplemented
525#66930C2318yes—
526#66930C2318yescomplemented
527#66928C2318yescomplemented
528C4×D44C2318yescomplemented
529C4×D44C2318yescomplemented
530#66925C2318yescomplemented
531#66925C2318yescomplemented
532#66923C2318yescomplemented
533C4×Dic22C2318yescomplemented
534C4×Dic22C2318yescomplemented
535C2×#3562—111nomaximal, Sylow
536C24×C11—42no—
537C24×C11—42no—
538C24×C11—42no—
539C24×C11C2411yescharacteristic
540C24×C11C2411yescharacteristic
541C24×C11C2411yescharacteristic
542C24×C11C2411yescharacteristic
543C24×C11C2411yescharacteristic
544C24×C11C2414yes—
545C23×D11—42no—
546C23×D11—42no—
547C23×D11—42no—
548C23×D11C2411yescharacteristic
549C23×D11C2411yescharacteristic
550C23×D11C2411yescharacteristic
551C23×D11C2411yescharacteristic
552C23×D11C2414yes—
553C2×Q8×C11—42no—
554C2×Q8×C11C2414yes—
555C2×D4×C11—42no—
556C2×D4×C11—42no—
557C2×D4×C11—42no—
558C2×D4×C11—42no—
559C2×D4×C11—42no—
560C2×D4×C11—42no—
561C2×D4×C11—42no—
562C2×D4×C11C2414yes—
563C2×D4×C11C2414yes—
564C2×D4×C11C2414yes—
565C2×D4×C11C2414yes—
566C2×D4×C11C2414yes—
567C2×D4×C11C2414yes—
568C2×D4×C11C2414yes—
569C22×C4×C11—42no—
570C22×C4×C11—42no—
571C22×C4×C11—42no—
572C22×C4×C11—42no—
573C22×C4×C11C2411yescharacteristic
574C22×C4×C11C2411yescharacteristic
575C22×C4×C11C2411yescharacteristic
576C22×C4×C11C2411yescharacteristic
577C22×C4×C11C2411yescharacteristic
578C22×C4×C11C2411yescharacteristic
579C22×C4×C11C2411yescharacteristic
580C22×C4×C11C2411yescharacteristic
581C22×C4×C11C2411yescharacteristic
582C22×C4×C11C2411yescharacteristic
583C22×C4×C11C2414yes—
584C22×C4×C11C2414yes—
585C22×C4×C11C2414yes—
586C22×C4×C11C2414yes—
587C2×C22⋊D11—24no—
588C2×C22⋊D11—24no—
589C2×C22⋊D11—24no—
590C2×C22⋊D11—42no—
591C2×C22⋊D11—42no—
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⋊D11—42no—
602C2×C22⋊D11—42no—
603C2×C22⋊D11—42no—
604C2×C22⋊D11—42no—
605C2×C22⋊D11—416no—
606C2×C22⋊D11C2414yes—
607C2×C22⋊D11C2414yes—
608C2×C22⋊D11C2414yes—
609C2×C22⋊D11C2414yes—
610C2×C22⋊D11C2414yes—
611C2×C22⋊D11C2414yes—
612C2×C22⋊D11C2414yes—
613C2×C22⋊D11C2414yes—
614C2×C22⋊D11C2414yes—
615C2×C22⋊D11C2414yes—
616C2×C22⋊D11C2414yes—
617C2×C22⋊D11C2414yes—
618C2×C22⋊D11C2414yes—
619C2×C22⋊D11C2414yes—
620C2×C22⋊D11C2414yes—
621C2×C22⋊D11C2414yes—
622C2×C22⋊D11C2414yes—
623C2×C22⋊D11C2414yes—
624C22×Dic11—24no—
625C22×Dic11—24no—
626C22×Dic11—42no—
627C22×Dic11—42no—
628C22×Dic11—42no—
629C22×Dic11—42no—
630C22×Dic11—42no—
631C22×Dic11C2414yes—
632C22×Dic11C2414yes—
633C22×Dic11C2411yescharacteristic
634C22×Dic11C2411yescharacteristic
635C22×Dic11C2411yescharacteristic
636C22×Dic11C2411yescharacteristic
637C22×Dic11C2411yescharacteristic
638C22×Dic11C2411yescharacteristic
639C22×Dic11C2411yescharacteristic
640C22×Dic11C2411yescharacteristic
641C22×Dic11C2411yescharacteristic
642C22×Dic11C2411yescharacteristic
643C22×Dic11C2411yescharacteristic
644C22×Dic11C2414yes—
645C22×Dic11C2414yes—
646C22×Dic11C2414yes—
647C22×Dic11C2414yes—
648C22×Dic11C2414yes—
649C22×Dic11C2411yescharacteristic
650Q8×D11—416no—
651#4341—416no—
652#4341—416no—
653#4341—416no—
654#4339—416no—
655C2×D44—42no—
656C2×D44—42no—
657C2×D44—42no—
658C2×D44—42no—
659C2×D44—42no—
660C2×D44C2414yes—
661C2×D44C2414yes—
662C2×D44C2414yes—
663C2×D44C2414yes—
664C2×D44C2414yes—
665C2×C4×D11—24no—
666C2×C4×D11—42no—
667C2×C4×D11—42no—
668C2×C4×D11—42no—
669C2×C4×D11—42no—
670C2×C4×D11—42no—
671C2×C4×D11—42no—
672C2×C4×D11—42no—
673C2×C4×D11—42no—
674C2×C4×D11—42no—
675C2×C4×D11C2414yes—
676C2×C4×D11C2414yes—
677C2×C4×D11C2414yes—
678C2×C4×D11C2414yes—
679C2×C4×D11C2414yes—
680C2×C4×D11C2414yes—
681C2×C4×D11C2414yes—
682C2×C4×D11C2414yes—
683C2×C4×D11C2414yes—
684C2×C4×D11C2414yes—
685C2×Dic22—24no—
686C2×Dic22—24no—
687C2×Dic22—24no—
688C2×Dic22—42no—
689C2×Dic22—42no—
690C2×Dic22C2414yes—
691C2×Dic22C2414yes—
692C2×Dic22C2414yes—
693C2×Dic22C2414yes—
694C2×Dic22C2414yes—
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—
713C11×C22⋊C4C2414yes—
714C11×C22⋊C4C2414yes—
715C42×C11C2414yes—
716C42×C11C2414yes—
717C22⋊Dic11C2414yes—
718C22⋊Dic11C2414yes—
719C22⋊Dic11C2414yes—
720C22⋊Dic11C2414yes—
721C22⋊Dic11C2414yes—
722C22⋊Dic11C2414yes—
723C22⋊Dic11C2414yes—
724C22⋊Dic11C2414yes—
725C22⋊Dic11C2414yes—
726C22⋊Dic11C2414yes—
727C22⋊Dic11C2414yes—
728C22⋊Dic11C2414yes—
729C22⋊Dic11C2414yes—
730C22⋊Dic11C2414yes—
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—
751C4⋊Dic11C2414yes—
752C4⋊Dic11C2414yes—
753C4⋊Dic11C2414yes—
754C4⋊Dic11C2414yes—
755C4⋊Dic11C2414yes—
756C4⋊Dic11C2414yes—
757C4⋊Dic11C2414yes—
758C4⋊Dic11C2414yes—
759C4⋊Dic11C2414yes—
760C4⋊Dic11C2414yes—
761Dic11⋊C4C2414yes—
762Dic11⋊C4C2414yes—
763Dic11⋊C4C2414yes—
764Dic11⋊C4C2414yes—
765Dic11⋊C4C2414yes—
766Dic11⋊C4C2414yes—
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—
781C4×Dic11C2414yes—
782C4×Dic11C2414yes—
783C4×Dic11C2414yes—
784C4×Dic11C2414yes—
785C4×Dic11C2414yes—
786C4×Dic11C2414yes—
787C4×Dic11C2414yes—
788C4×Dic11C2414yes—
789C4×Dic11C2414yes—
790C4×Dic11C2414yes—
791#3562—1132no—
792C2×#562—111no—
793C2×#562—111no—
794C2×#560—111no—
795C2×#560—111no—
796C2×#559—111no—
797C2×#556—111no—
798C2×#553—111no—
799C2×#553—111no—
800C2×#551—111no—
801C2×#551—111no—
802C2×#550—111no—
803C2×#548—111no—
804C2×#548—111no—
805C2×#547—111no—
806C2×#546—111no—
807C2×#546—111no—
808C2×#541—111no—
809C2×#540—111no—
810C2×#540—111no—
811C2×#540—111no—
812C2×#539—111no—
813C2×#539—111no—
814C2×#538—111no—
815C2×#538—111no—
816C2×#538—111no—
817C2×#538D1111yescharacteristic, complemented
818C2×#536—111no—
819C2×#535—111no—
820C2×#532—111no—
821C2×#529—111no—
822C2×#529—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×C11—22no—
833C23×C11—22no—
834C23×C11—22no—
835C23×C11—22no—
836C23×C11—22no—
837C23×C11—22no—
838C23×C11—44no—
839C23×C11—44no—
840C23×C11—44no—
841C23×C11—88no—
842C23×C11C2512yes—
843C23×C11C2512yes—
844C23×C11C2512yes—
845C23×C11C2512yes—
846C23×C11C2512yes—
847C23×C11C2511yescharacteristic
848C22×D11—22no—
849C22×D11—22no—
850C22×D11—22no—
851C22×D11—22no—
852C22×D11—22no—
853C22×D11—22no—
854C22×D11—22no—
855C22×D11—22no—
856C22×D11—22no—
857C22×D11—22no—
858C22×D11—22no—
859C22×D11—22no—
860C22×D11—44no—
861C22×D11—44no—
862C22×D11—44no—
863C22×D11—88no—
864C22×D11C2512yes—
865C22×D11C2512yes—
866C22×D11C2512yes—
867C22×D11C2512yes—
868Q8×C11—44no—
869D4×C11—44no—
870D4×C11—44no—
871D4×C11—44no—
872D4×C11—44no—
873D4×C11—44no—
874D4×C11—44no—
875D4×C11—44no—
876C2×C4×C11—22no—
877C2×C4×C11—22no—
878C2×C4×C11—22no—
879C2×C4×C11—22no—
880C2×C4×C11—22no—
881C2×C4×C11—22no—
882C2×C4×C11—22no—
883C2×C4×C11—22no—
884C2×C4×C11—22no—
885C2×C4×C11—22no—
886C2×C4×C11—44no—
887C2×C4×C11—44no—
888C2×C4×C11—44no—
889C2×C4×C11—44no—
890C2×C4×C11C2512yes—
891C2×C4×C11C2512yes—
892C2×C4×C11C2512yes—
893C2×C4×C11C2512yes—
894C2×C4×C11C2512yes—
895C2×C4×C11C2512yes—
896C2×C4×C11C2512yes—
897C2×C4×C11C2512yes—
898C2×C4×C11C2512yes—
899C2×C4×C11C2512yes—
900C22⋊D11—28no—
901C22⋊D11—28no—
902C22⋊D11—28no—
903C22⋊D11—44no—
904C22⋊D11—44no—
905C22⋊D11—44no—
906C22⋊D11—44no—
907C22⋊D11—44no—
908C22⋊D11—44no—
909C22⋊D11—44no—
910C22⋊D11—44no—
911C22⋊D11—44no—
912C22⋊D11—44no—
913C22⋊D11—44no—
914C22⋊D11—44no—
915C22⋊D11—44no—
916C22⋊D11—44no—
917C22⋊D11—44no—
918C2×Dic11—22no—
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—28no—
930C2×Dic11—28no—
931C2×Dic11—44no—
932C2×Dic11—44no—
933C2×Dic11—44no—
934C2×Dic11—44no—
935C2×Dic11—44no—
936C2×Dic11H(5,𝔽2)14yes—
937C2×Dic11C2512yes—
938C2×Dic11C2512yes—
939C2×Dic11C2512yes—
940C2×Dic11C2512yes—
941C2×Dic11C2512yes—
942C2×Dic11C2512yes—
943C2×Dic11C2512yes—
944C2×Dic11C2512yes—
945C2×Dic11C2512yes—
946C2×Dic11C2512yes—
947C2×Dic11C2512yes—
948C2×Dic11C2512yes—
949D44—44no—
950D44—44no—
951D44—44no—
952D44—44no—
953D44—44no—
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—
964Dic22—28no—
965Dic22—28no—
966Dic22—28no—
967Dic22—44no—
968Dic22—44no—
969C22×#41—111no—
970C22×#41—111no—
971C22×#41—111no—
972C22×#41—111no—
973C23×Q8—111no—
974C23×D4—111no—
975#562—1116no—
976#562—1116no—
977#560—1116no—
978#560—1116no—
979#559—1116no—
980#556—1116no—
981#553—1116no—
982#553—1116no—
983#551—1116no—
984#551—1116no—
985#550—1116no—
986#548—1116no—
987#548—1116no—
988#547—1116no—
989#546—1116no—
990#546—1116no—
991#541—1116no—
992#540—1116no—
993#540—1116no—
994#540—1116no—
995#539—1116no—
996#539—1116no—
997#538—1116no—
998#538—1116no—
999#538—1116no—
1000#538C2×D11116yescomplemented
1001#536—1116no—
1002#535—1116no—
1003#532—1116no—
1004C2×C4⋊Q8—111no—
1005C2×C4⋊Q8—111no—
1006C2×#127—111no—
1007C2×#127—111no—
1008C2×#127—111no—
1009C2×#127—111no—
1010#529—1116no—
1011#529—1116no—
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×#126—111no—
1022C2×#126C2×D1111yescharacteristic
1023C2×#126C2×D1111yescharacteristic, complemented
1024C2×#125—111no—
1025C2×#125—111no—
1026C2×#125—111no—
1027C2×#125—111no—
1028C2×#125—111no—
1029C2×#125—111no—
1030C2×#124—111no—
1031C2×#124—111no—
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×#124C2×D1111yescharacteristic
1041C2×#124C2×D1111yescharacteristic, complemented
1042C2×#123—111no—
1043C2×#123—111no—
1044C2×#123—111no—
1045C2×#123—111no—
1046C2×#123—111no—
1047C2×#123—111no—
1048C2×#123—111no—
1049C2×#123—111no—
1050C2×#123—111no—
1051C2×#123—111no—
1052C2×#123—111no—
1053C2×#123—111no—
1054C2×#123—111no—
1055C2×#123—111no—
1056C2×#123—111no—
1057C2×#123—111no—
1058C2×#123—111no—
1059C2×#123—111no—
1060C2×#123—111no—
1061C2×#123—111no—
1062C2×#123—111no—
1063C2×#123—111no—
1064C2×#123C2×D1111yescharacteristic
1065C2×#123C2×D1111yescharacteristic, complemented
1066C2×C22⋊Q8—111no—
1067C2×C22⋊Q8—111no—
1068C2×C22⋊Q8—111no—
1069C2×C22⋊Q8—111no—
1070C2×C22⋊Q8—111no—
1071C2×C22⋊Q8—111no—
1072C2×C22⋊Q8—111no—
1073C2×C22⋊Q8—111no—
1074C2×C22⋊Q8—111no—
1075C2×C22⋊Q8—111no—
1076C2×C22⋊Q8—111no—
1077C2×C22⋊Q8—111no—
1078C2×C22⋊Q8—111no—
1079C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1080C2×#121—111no—
1081C2×#121—111no—
1082C2×#121—111no—
1083C2×#121—111no—
1084C2×#121—111no—
1085C2×#121—111no—
1086C2×#121—111no—
1087C2×#121—111no—
1088C2×#121—111no—
1089C2×#121—111no—
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×#121C2×D1111yescharacteristic, complemented
1109C2×#121C2×D1111yescharacteristic, complemented
1110C2×#120—111no—
1111C2×#120—111no—
1112C2×#120—111no—
1113C2×#120—111no—
1114C2×#120—111no—
1115C2×#120—111no—
1116C2×#120C2×D1111yescharacteristic
1117C2×#120C2×D1111yescharacteristic
1118C2×C4×Q8—111no—
1119C2×C4×Q8—111no—
1120C2×C4×Q8—111no—
1121C2×C4×Q8—111no—
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×D4—111no—
1136C2×C4×D4—111no—
1137C2×C4×D4—111no—
1138C2×C4×D4—111no—
1139C2×C4×D4—111no—
1140C2×C4×D4C2×D1111yescharacteristic, complemented
1141C2×C4×D4C2×D1111yescharacteristic, complemented
1142C2×#117—111no—
1143C2×#117—111no—
1144C2×#117—111no—
1145C2×#117—111no—
1146C2×#117—111no—
1147C2×#117—111no—
1148C22×C4⋊C4—111no—
1149C22×C4⋊C4—111no—
1150C22×C22⋊C4—111no—
1151C22×C22⋊C4—111no—
1152C22×C22⋊C4—111no—
1153C22×C22⋊C4C2×D1111yescharacteristic
1154C22×C42—111no—
1155C22×C11—22no—
1156C22×C11—22no—
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—22no—
1167C22×C11—22no—
1168C22×C11—22no—
1169C22×C11—22no—
1170C22×C11—44no—
1171C22×C11—44no—
1172C22×C11—44no—
1173C22×C11—44no—
1174C22×C11—44no—
1175C22×C11—88no—
1176C22×C11C2×H(5,𝔽2)12yes—
1177C22×C11#58512yes—
1178C22×C11#58512yes—
1179C22×C11C2611yescharacteristic
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—22no—
1192C2×D11—44no—
1193C2×D11—44no—
1194C2×D11—44no—
1195C2×D11—44no—
1196C2×D11—88no—
1197C4×C11—22no—
1198C4×C11—22no—
1199C4×C11—22no—
1200C4×C11—22no—
1201C4×C11—22no—
1202C4×C11—22no—
1203C4×C11—22no—
1204C4×C11—22no—
1205C4×C11—22no—
1206C4×C11—22no—
1207Dic11—22no—
1208Dic11—22no—
1209Dic11—22no—
1210Dic11—22no—
1211Dic11—22no—
1212Dic11—22no—
1213Dic11—22no—
1214Dic11—22no—
1215Dic11—22no—
1216Dic11—22no—
1217Dic11—22no—
1218Dic11C2×H(5,𝔽2)14yes—
1219C25—111no—
1220C25C22×D1111yescharacteristic
1221C2×#41—118no—
1222C2×#41—118no—
1223C2×#41—118no—
1224C2×#41—118no—
1225C2×#41—444no—
1226C2×#41—444no—
1227C2×#41—444no—
1228C2×#41—444no—
1229C22×Q8—118no—
1230C22×Q8—111no—
1231C22×Q8—111no—
1232C22×Q8—111no—
1233C22×Q8—111no—
1234C22×Q8—111no—
1235C22×Q8—444no—
1236C22×Q8C22×D1111yescharacteristic
1237C22×D4—111no—
1238C22×D4—111no—
1239C22×D4—111no—
1240C22×D4—111no—
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—111no—
1252C22×D4—111no—
1253C22×D4—111no—
1254C22×D4—111no—
1255C22×D4—118no—
1256C22×D4—111no—
1257C22×D4—111no—
1258C22×D4—111no—
1259C22×D4—111no—
1260C22×D4—111no—
1261C22×D4—444no—
1262C22×D4C22×D1111yescharacteristic
1263C22×D4C22×D1111yescharacteristic
1264C22×D4C22×D1111yescharacteristic
1265C22×D4C22×D1111yescharacteristic
1266C22×D4C22×D1111yescharacteristic
1267C22×D4C22×D1111yescharacteristic
1268C22×D4C22×D1111yescharacteristic
1269C23×C4—111no—
1270C23×C4—111no—
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×C4C22×D1111yescharacteristic
1287C23×C4C22×D1111yescharacteristic
1288C23×C4C22×D1111yescharacteristic
1289C23×C4C22×D1111yescharacteristic
1290C4⋊Q8—118no—
1291C4⋊Q8—118no—
1292#127—118no—
1293#127—118no—
1294#127—118no—
1295#127—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#126—118no—
1305#126—118no—
1306#126C22×D1118yes—
1307#126C22×D1118yescomplemented
1308#125—118no—
1309#125—118no—
1310#125—118no—
1311#125—118no—
1312#125—118no—
1313#125—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#124C22×D1118yes—
1325#124C22×D1118yescomplemented
1326#123—118no—
1327#123—118no—
1328#123—118no—
1329#123—118no—
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#123C22×D1118yes—
1349#123C22×D1118yescomplemented
1350C22⋊Q8—118no—
1351C22⋊Q8—118no—
1352C22⋊Q8—118no—
1353C22⋊Q8—118no—
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⋊Q8C22×D1118yescomplemented
1364#121—118no—
1365#121—118no—
1366#121—118no—
1367#121—118no—
1368#121—118no—
1369#121—118no—
1370#121—118no—
1371#121—118no—
1372#121—118no—
1373#121—118no—
1374#121—118no—
1375#121—118no—
1376#121—118no—
1377#121—118no—
1378#121—118no—
1379#121—118no—
1380#121—118no—
1381#121—118no—
1382#121—118no—
1383#121—118no—
1384#121—118no—
1385#121—118no—
1386#121—118no—
1387#121—118no—
1388#121—118no—
1389#121—118no—
1390#121—118no—
1391#121C22×D1118yes—
1392#121C22×D1118yescomplemented
1393#121C22×D1118yescomplemented
1394#120—118no—
1395#120—118no—
1396#120—118no—
1397#120—118no—
1398#120—118no—
1399#120—118no—
1400#120C22×D1118yes—
1401#120C22×D1118yes—
1402C4×Q8—118no—
1403C4×Q8—118no—
1404C4×Q8—118no—
1405C4×Q8—118no—
1406C4×D4—118no—
1407C4×D4—118no—
1408C4×D4—118no—
1409C4×D4—118no—
1410C4×D4—118no—
1411C4×D4—118no—
1412C4×D4—118no—
1413C4×D4—118no—
1414C4×D4—118no—
1415C4×D4—118no—
1416C4×D4—118no—
1417C4×D4—118no—
1418C4×D4—118no—
1419C4×D4—118no—
1420C4×D4—118no—
1421C4×D4—118no—
1422C4×D4—118no—
1423C4×D4—118no—
1424C4×D4C22×D1118yescomplemented
1425C4×D4C22×D1118yescomplemented
1426#117—118no—
1427#117—118no—
1428#117—118no—
1429#117—118no—
1430#117—118no—
1431#117—118no—
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—118no—
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⋊C4—111no—
1451C2×C4⋊C4—111no—
1452C2×C4⋊C4—111no—
1453C2×C4⋊C4—111no—
1454C2×C4⋊C4—111no—
1455C2×C4⋊C4—111no—
1456C2×C4⋊C4—111no—
1457C2×C4⋊C4—111no—
1458C2×C4⋊C4—111no—
1459C2×C4⋊C4—111no—
1460C2×C4⋊C4—111no—
1461C2×C4⋊C4—111no—
1462C2×C4⋊C4—111no—
1463C2×C4⋊C4—118no—
1464C2×C4⋊C4C22×D1111yescharacteristic
1465C2×C4⋊C4C22×D1111yescharacteristic
1466C2×C4⋊C4C22×D1111yescharacteristic
1467C2×C4⋊C4C22×D1111yescharacteristic
1468C2×C4⋊C4C22×D1111yescharacteristic
1469C2×C4⋊C4C22×D1111yescharacteristic
1470C2×C22⋊C4—111no—
1471C2×C22⋊C4—111no—
1472C2×C22⋊C4—111no—
1473C2×C22⋊C4—111no—
1474C2×C22⋊C4—111no—
1475C2×C22⋊C4—118no—
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—111no—
1491C2×C22⋊C4—111no—
1492C2×C22⋊C4—111no—
1493C2×C22⋊C4—111no—
1494C2×C22⋊C4—111no—
1495C2×C22⋊C4—111no—
1496C2×C22⋊C4—111no—
1497C2×C22⋊C4—111no—
1498C2×C22⋊C4—111no—
1499C2×C22⋊C4—111no—
1500C2×C22⋊C4—111no—
1501C2×C22⋊C4—111no—
1502C2×C22⋊C4—111no—
1503C2×C22⋊C4—111no—
1504C2×C22⋊C4—111no—
1505C2×C22⋊C4—118no—
1506C2×C22⋊C4—118no—
1507C2×C22⋊C4C22×D1111yescharacteristic
1508C2×C22⋊C4C22×D1111yescharacteristic
1509C2×C22⋊C4C22×D1111yescharacteristic
1510C2×C22⋊C4C22×D1111yescharacteristic
1511C2×C22⋊C4C22×D1111yescharacteristic
1512C2×C22⋊C4C22×D1118yes—
1513C2×C22⋊C4C22×D1111yescharacteristic
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×C42—111no—
1523C2×C42—111no—
1524C2×C42—111no—
1525C2×C42—111no—
1526C2×C42—111no—
1527C2×C42—111no—
1528C2×C42—111no—
1529C2×C42—111no—
1530C2×C42—111no—
1531C2×C42—111no—
1532C2×C42—118no—
1533C2×C42C22×D1111yescharacteristic
1534C2×C42C22×D1111yescharacteristic
1535C2×C11—42no—
1536C2×C11—42no—
1537C2×C11—42no—
1538C2×C11—42no—
1539C2×C11—42no—
1540C2×C11#356214yescomplemented
1541C2×C11C22×H(5,𝔽2)11yescharacteristic
1542C2×C11C2×#58511yescharacteristic
1543C2×C11C2×#58511yescharacteristic
1544D11—42no—
1545D11—42no—
1546D11—42no—
1547D11—42no—
1548C24—42no—
1549C24—42no—
1550C24—42no—
1551C24—111no—
1552C24—111no—
1553C24—111no—
1554C24—111no—
1555C24—114no—
1556C24—442no—
1557C24—442no—
1558C24—442no—
1559C24C23×D1111yescharacteristic
1560C24C23×D1111yescharacteristic
1561C24C23×D1111yescharacteristic
1562C24C23×D1111yescharacteristic
1563C24C23×D1111yescharacteristic
1564C24C23×D1114yes—
1565#41—4416no—
1566#41—4416no—
1567#41—4416no—
1568#41—4416no—
1569C2×Q8—42no—
1570C2×Q8—114no—
1571C2×Q8—114no—
1572C2×Q8—114no—
1573C2×Q8—114no—
1574C2×Q8—114no—
1575C2×Q8—224no—
1576C2×Q8—224no—
1577C2×Q8—224no—
1578C2×Q8—442no—
1579C2×Q8—442no—
1580C2×Q8—4416no—
1581C2×Q8C23×D1114yes—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—114no—
1590C2×D4—114no—
1591C2×D4—114no—
1592C2×D4—114no—
1593C2×D4—114no—
1594C2×D4—114no—
1595C2×D4—114no—
1596C2×D4—114no—
1597C2×D4—114no—
1598C2×D4—114no—
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—224no—
1613C2×D4—224no—
1614C2×D4—224no—
1615C2×D4—442no—
1616C2×D4—442no—
1617C2×D4—442no—
1618C2×D4—442no—
1619C2×D4—442no—
1620C2×D4—4416no—
1621C2×D4—442no—
1622C2×D4—442no—
1623C2×D4—442no—
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—442no—
1633C2×D4—442no—
1634C2×D4—442no—
1635C2×D4—442no—
1636C2×D4C23×D1114yes—
1637C2×D4C23×D1114yes—
1638C2×D4C23×D1114yes—
1639C2×D4C23×D1114yes—
1640C2×D4C23×D1114yes—
1641C2×D4C23×D1114yes—
1642C2×D4C23×D1114yes—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—111no—
1648C22×C4—114no—
1649C22×C4—114no—
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—111no—
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×C4—442no—
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×D1114yes—
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⋊C4—114no—
1730C4⋊C4—114no—
1731C4⋊C4—114no—
1732C4⋊C4—114no—
1733C4⋊C4—114no—
1734C4⋊C4—114no—
1735C4⋊C4—114no—
1736C4⋊C4—114no—
1737C4⋊C4C23×D1114yes—
1738C4⋊C4C23×D1114yes—
1739C4⋊C4C23×D1114yes—
1740C4⋊C4C23×D1114yes—
1741C4⋊C4C23×D1114yes—
1742C4⋊C4C23×D1114yes—
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⋊C4C23×D1114yes—
1778C22⋊C4C23×D1114yes—
1779C22⋊C4C23×D1114yes—
1780C22⋊C4C23×D1114yes—
1781C22⋊C4C23×D1114yes—
1782C22⋊C4C23×D1114yes—
1783C22⋊C4C23×D1114yes—
1784C22⋊C4C23×D1114yes—
1785C22⋊C4C23×D1114yes—
1786C22⋊C4C23×D1114yes—
1787C22⋊C4C23×D1114yes—
1788C22⋊C4C23×D1114yes—
1789C22⋊C4C23×D1114yes—
1790C22⋊C4C23×D1114yes—
1791C42—114no—
1792C42—114no—
1793C42—114no—
1794C42—114no—
1795C42—114no—
1796C42—114no—
1797C42—114no—
1798C42—114no—
1799C42—114no—
1800C42—114no—
1801C42C23×D1114yes—
1802C42C23×D1114yes—
1803C11C2×#356211yescharacteristic, complemented, Sylow
1804C23—22no—
1805C23—22no—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—44no—
1820C23—44no—
1821C23—44no—
1822C23—88no—
1823C23—112no—
1824C23—112no—
1825C23—112no—
1826C23—112no—
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—444no—
1840C23—444no—
1841C23—444no—
1842C23—888no—
1843C23C24×D1112yes—
1844C23C24×D1112yes—
1845C23C24×D1112yes—
1846C23C24×D1112yes—
1847C23C24×D1112yes—
1848C23C24×D1111yescharacteristic
1849Q8—44no—
1850Q8—228no—
1851Q8—228no—
1852Q8—228no—
1853Q8—444no—
1854Q8—444no—
1855D4—44no—
1856D4—44no—
1857D4—44no—
1858D4—44no—
1859D4—44no—
1860D4—44no—
1861D4—44no—
1862D4—228no—
1863D4—228no—
1864D4—228no—
1865D4—444no—
1866D4—444no—
1867D4—444no—
1868D4—444no—
1869D4—444no—
1870D4—444no—
1871D4—444no—
1872D4—444no—
1873D4—444no—
1874D4—444no—
1875D4—444no—
1876D4—444no—
1877D4—444no—
1878D4—444no—
1879D4—444no—
1880D4—444no—
1881D4—444no—
1882D4—444no—
1883D4—444no—
1884D4—444no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—44no—
1896C2×C4—44no—
1897C2×C4—44no—
1898C2×C4—44no—
1899C2×C4—114no—
1900C2×C4—112no—
1901C2×C4—112no—
1902C2×C4—112no—
1903C2×C4—112no—
1904C2×C4—112no—
1905C2×C4—112no—
1906C2×C4—112no—
1907C2×C4—112no—
1908C2×C4—112no—
1909C2×C4—112no—
1910C2×C4—112no—
1911C2×C4—112no—
1912C2×C4—228no—
1913C2×C4—228no—
1914C2×C4—228no—
1915C2×C4—222no—
1916C2×C4—222no—
1917C2×C4—222no—
1918C2×C4—222no—
1919C2×C4—222no—
1920C2×C4—222no—
1921C2×C4—222no—
1922C2×C4—222no—
1923C2×C4—222no—
1924C2×C4—222no—
1925C2×C4—222no—
1926C2×C4—444no—
1927C2×C4—444no—
1928C2×C4—444no—
1929C2×C4—444no—
1930C2×C4—444no—
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×C4C24×D1112yes—
1941C2×C4C24×D1112yes—
1942C2×C4C24×D1112yes—
1943C2×C4C24×D1112yes—
1944C2×C4C24×D1112yes—
1945C2×C4C24×D1112yes—
1946C2×C4C24×D1112yes—
1947C2×C4C24×D1112yes—
1948C2×C4C24×D1112yes—
1949C2×C4C24×D1112yes—
1950C22—22no—
1951C22—22no—
1952C22—22no—
1953C22—22no—
1954C22—22no—
1955C22—22no—
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—44no—
1969C22—44no—
1970C22—88no—
1971C22—222no—
1972C22—222no—
1973C22—222no—
1974C22—222no—
1975C22—222no—
1976C22—222no—
1977C22—222no—
1978C22—222no—
1979C22—222no—
1980C22—222no—
1981C22—222no—
1982C22—222no—
1983C22—444no—
1984C22—444no—
1985C22—444no—
1986C22—444no—
1987C22—888no—
1988C22#1062345312yes—
1989C22D11×H(5,𝔽2)12yes—
1990C22#1062345512yes—
1991C22C25×D1111yescharacteristic
1992C4—22no—
1993C4—22no—
1994C4—22no—
1995C4—22no—
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—114no—
2003C4—222no—
2004C4—222no—
2005C4—222no—
2006C4—222no—
2007C4—222no—
2008C4—222no—
2009C4—222no—
2010C4—222no—
2011C4—222no—
2012C4—222no—
2013C4—222no—
2014C2—42no—
2015C2—42no—
2016C2—42no—
2017C2—42no—
2018C2—42no—
2019C2—442no—
2020C2—442no—
2021C2—442no—
2022C2—442no—
2023C2#1308320314yesdirect product factor
2024C2C2×D11×H(5,𝔽2)11yescharacteristic
2025C2C2×#1062345511yescharacteristic
2026C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#538C2
socleC23×C11C25
hypercenterC2×#538D11
hypocenterC11C2×#3562
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. #13083203C2direct (N × H)
2. C2×#10623152C2semidirect
3. C2×#10623215C2semidirect
4. C2×#10623126C2semidirect
5. C2×#10623151C2semidirect
6. C2×#10623090C2semidirect
7. C2×#10623233C2semidirect
8. C2×#10623240C2semidirect
9. C2×#10623096C2semidirect
10. C2×#10623210C2semidirect
11. C2×#10623026C2semidirect
12. C2×#10623130C2semidirect
13. C2×#10623208C2semidirect
14. C2×#10623208C2semidirect
15. C2×#10623142C2semidirect
16. C2×#10623021C2semidirect
17. C2×#10623122C2semidirect
18. C2×#10623232C2semidirect
19. C2×#10623194C2semidirect
20. C2×#10623093C2semidirect
21. C2×#10623146C2semidirect
22. C2×#10623169C2semidirect
23. C2×#10623196C2semidirect
24. C2×#10623235C2semidirect
25. C2×#10623188C2semidirect
26. C2×#10623124C2semidirect
27. C2×#10623159C2semidirect
28. C2×#10623123C2semidirect
29. C2×#10623127C2semidirect
30. C2×#10623069C2semidirect
31. C2×#10623180C2semidirect
32. C2×C11×#538C2semidirect
34. C22×Q8×D11C22semidirect
37. C22×#4341C22semidirect
39. C11×#538C22semidirect
41. C2×C11×#126C22semidirect
43. C2×C11×#124C22semidirect
45. C2×C11×#123C22semidirect
46. C2×C11×C22⋊Q8C22semidirect
48. C2×C11×#121C22semidirect
49. C2×C11×#121C22semidirect
52. C2×C4×D4×C11C22semidirect
53. C2×C4×D4×C11C22semidirect
58. C2×#66999C22semidirect
59. C2×#66999C22semidirect
60. C2×#66999C22semidirect
63. C2×#66993C22semidirect
64. C2×#66993C22semidirect
70. C2×#66992C22semidirect
71. C2×#66992C22semidirect
72. C2×#66992C22semidirect
73. C2×#66992C22semidirect
77. C2×#66991C22semidirect
80. C2×#66989C22semidirect
82. C2×#66988C22semidirect
83. C2×#66988C22semidirect
85. C2×D4×Dic11C22semidirect
87. C2×#66983C22semidirect
88. C2×#66983C22semidirect
90. C2×#66982C22semidirect
91. C2×#66982C22semidirect
92. C2×#66982C22semidirect
94. C2×C4×C22⋊D11C22semidirect
95. C2×C4×C22⋊D11C22semidirect
96. C2×C4×C22⋊D11C22semidirect
97. C2×#66979C22semidirect
98. C22×C4⋊Dic11C22semidirect
99. C2×#66977C22semidirect
100. C22×C4×Dic11C22semidirect
101. #10623240C22semidirect
102. #10623235C22semidirect
103. #10623233C22semidirect
104. #10623232C22semidirect
105. #10623215C22semidirect
106. #10623210C22semidirect
107. #10623208C22semidirect
108. #10623208C22semidirect
109. #10623196C22semidirect
110. #10623194C22semidirect
111. #10623188C22semidirect
112. #10623180C22semidirect
113. #10623169C22semidirect
114. #10623159C22semidirect
115. #10623152C22semidirect
116. #10623151C22semidirect
117. #10623146C22semidirect
118. #10623142C22semidirect
119. #10623130C22semidirect
120. #10623127C22semidirect
121. #10623126C22semidirect
122. #10623124C22semidirect
123. #10623123C22semidirect
124. #10623122C22semidirect
125. #10623096C22semidirect
126. #10623093C22semidirect
127. #10623090C22semidirect
128. #10623069C22semidirect
129. C2×#66951C22semidirect
130. C2×#66951C22semidirect
131. C2×#66951C22semidirect
132. C2×#66951C22semidirect
133. C2×#66950C22semidirect
134. C2×#66949C22semidirect
135. C2×#66948C22semidirect
136. C2×#66948C22semidirect
137. C2×#66947C22semidirect
138. C2×#66947C22semidirect
139. C2×#66947C22semidirect
140. C2×#66946C22semidirect
141. C2×#66946C22semidirect
142. C2×#66945C22semidirect
143. C2×C4⋊C4×D11C22semidirect
144. C2×#66943C22semidirect
145. C2×#66942C22semidirect
146. C2×#66942C22semidirect
147. C2×#66942C22semidirect
148. C2×#66942C22semidirect
149. C2×#66941C22semidirect
150. C2×#66941C22semidirect
151. C2×#66940C22semidirect
152. C2×#66940C22semidirect
153. #10623026C22semidirect
155. C2×#66939C22semidirect
156. C2×#66939C22semidirect
163. C2×#66938C22semidirect
164. C2×#66938C22semidirect
165. #10623021C22semidirect
171. C2×#66937C22semidirect
172. C2×#66937C22semidirect
173. C2×#66937C22semidirect
174. C2×#66937C22semidirect
178. C2×#66936C22semidirect
179. C2×#66936C22semidirect
180. C2×#66936C22semidirect
181. C2×#66936C22semidirect
182. C2×#66936C22semidirect
183. C2×#66936C22semidirect
188. C2×(C22⋊D11)⋊C4C22semidirect
189. C2×(C22⋊D11)⋊C4C22semidirect
190. C2×(C22⋊D11)⋊C4C22semidirect
191. C2×(C22⋊D11)⋊C4C22semidirect
192. C2×(C22⋊D11)⋊C4C22semidirect
193. C2×(C22⋊D11)⋊C4C22semidirect
200. C2×#66932C22semidirect
201. C2×#66932C22semidirect
204. C2×#66931C22semidirect
205. C2×#66931C22semidirect
206. C2×#66931C22semidirect
207. C2×#66931C22semidirect
208. C2×#66931C22semidirect
210. C2×#66930C22semidirect
211. C2×#66928C22semidirect
212. C2×C4×D44C22semidirect
213. C2×C4×D44C22semidirect
214. C2×#66925C22semidirect
215. C2×#66925C22semidirect
216. C2×#66923C22semidirect
217. C2×C4×Dic22C22semidirect
218. C2×C4×Dic22C22semidirect
261. C2×Q8×D11C23semidirect
267. C2×#4341C23semidirect
291. C11×#126C23semidirect
293. C11×#124C23semidirect
295. C11×#123C23semidirect
296. C11×C22⋊Q8C23semidirect
298. C11×#121C23semidirect
299. C11×#121C23semidirect
302. C4×D4×C11C23semidirect
303. C4×D4×C11C23semidirect
344. #66999C23semidirect
345. #66999C23semidirect
346. #66999C23semidirect
349. #66993C23semidirect
350. #66993C23semidirect
356. #66992C23semidirect
357. #66992C23semidirect
358. #66992C23semidirect
359. #66992C23semidirect
363. #66991C23semidirect
366. #66989C23semidirect
368. #66988C23semidirect
369. #66988C23semidirect
371. D4×Dic11C23semidirect
373. #66983C23semidirect
374. #66983C23semidirect
376. #66982C23semidirect
377. #66982C23semidirect
378. #66982C23semidirect
380. C4×C22⋊D11C23semidirect
381. C4×C22⋊D11C23semidirect
382. C4×C22⋊D11C23semidirect
403. #66979C23semidirect
414. C2×C4⋊Dic11C23semidirect
415. #66977C23semidirect
446. C2×C4×Dic11C23semidirect
447. #66951C23semidirect
448. #66951C23semidirect
449. #66951C23semidirect
450. #66951C23semidirect
451. #66950C23semidirect
452. #66949C23semidirect
453. #66948C23semidirect
454. #66948C23semidirect
455. #66947C23semidirect
456. #66947C23semidirect
457. #66947C23semidirect
458. #66946C23semidirect
459. #66946C23semidirect
460. #66945C23semidirect
461. C4⋊C4×D11C23semidirect
462. #66943C23semidirect
463. #66942C23semidirect
464. #66942C23semidirect
465. #66942C23semidirect
466. #66942C23semidirect
467. #66941C23semidirect
468. #66941C23semidirect
469. #66940C23semidirect
470. #66940C23semidirect
472. #66939C23semidirect
473. #66939C23semidirect
480. #66938C23semidirect
481. #66938C23semidirect
487. #66937C23semidirect
488. #66937C23semidirect
489. #66937C23semidirect
490. #66937C23semidirect
494. #66936C23semidirect
495. #66936C23semidirect
496. #66936C23semidirect
497. #66936C23semidirect
498. #66936C23semidirect
499. #66936C23semidirect
504. (C22⋊D11)⋊C4C23semidirect
505. (C22⋊D11)⋊C4C23semidirect
506. (C22⋊D11)⋊C4C23semidirect
507. (C22⋊D11)⋊C4C23semidirect
508. (C22⋊D11)⋊C4C23semidirect
509. (C22⋊D11)⋊C4C23semidirect
516. #66932C23semidirect
517. #66932C23semidirect
520. #66931C23semidirect
521. #66931C23semidirect
522. #66931C23semidirect
523. #66931C23semidirect
524. #66931C23semidirect
526. #66930C23semidirect
527. #66928C23semidirect
528. C4×D44C23semidirect
529. C4×D44C23semidirect
530. #66925C23semidirect
531. #66925C23semidirect
532. #66923C23semidirect
533. C4×Dic22C23semidirect
534. C4×Dic22C23semidirect
817. C2×#538D11semidirect
1000. #538C2×D11semidirect
1023. C2×#126C2×D11semidirect
1041. C2×#124C2×D11semidirect
1065. C2×#123C2×D11semidirect
1079. C2×C22⋊Q8C2×D11semidirect
1108. C2×#121C2×D11semidirect
1109. C2×#121C2×D11semidirect
1140. C2×C4×D4C2×D11semidirect
1141. C2×C4×D4C2×D11semidirect
1307. #126C22×D11semidirect
1325. #124C22×D11semidirect
1349. #123C22×D11semidirect
1363. C22⋊Q8C22×D11semidirect
1392. #121C22×D11semidirect
1393. #121C22×D11semidirect
1424. C4×D4C22×D11semidirect
1425. C4×D4C22×D11semidirect
1540. C2×C11#3562semidirect
1803. C11C2×#3562semidirect
2023. C2#13083203direct (N × H)

Maximal subgroups

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

subgroupindex
#130832032
C2×#106231522
C2×#106232152
C2×#106231262
C2×#106231512
C2×#106230902
C2×#106232332
C2×#106232402
C2×#106230962
C2×#106232102
C2×#106230262
C2×#106231302
C2×#106232082
C2×#106231422
C2×#106230212
C2×#106231222
C2×#106232322
C2×#106231942
C2×#106230932
C2×#106231462
C2×#106231692
C2×#106231962
C2×#106232352
C2×#106231882
C2×#106231242
C2×#106231592
C2×#106231232
C2×#106231272
C2×#106230692
C2×#106231802
C2×C11×#5382
C2×#356211