Finite Group Databasebeta

← C2×#13083193 #15661248

Subgroups — C2×#13083193 #15661248

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#13083193C2132yesmaximal, direct product factor
2C2×#10623198C211yesmaximal, characteristic, complemented
3C2×#10623152C211yesmaximal, characteristic, complemented
4C2×#10623151C211yesmaximal, characteristic, complemented
5C2×#10623195C211yesmaximal, characteristic, complemented
6C2×#10623233C211yesmaximal, characteristic, complemented
7C2×#10623149C211yesmaximal, characteristic, complemented
8C2×#10623192C211yesmaximal, characteristic, complemented
9C2×#10623118C211yesmaximal, characteristic, complemented
10C2×#10623236C211yesmaximal, characteristic, complemented
11C2×#10623249C211yesmaximal, characteristic, complemented
12C2×#10623129C211yesmaximal, characteristic, complemented
13C2×#10623129C211yesmaximal, characteristic, complemented
14C2×#10623142C211yesmaximal, characteristic, complemented
15C2×#10623122C211yesmaximal, characteristic, complemented
16C2×#10623122C211yesmaximal, characteristic, complemented
17C2×#10623232C211yesmaximal, characteristic, complemented
18C2×#10623250C211yesmaximal, characteristic, complemented
19C2×#10623146C211yesmaximal, characteristic, complemented
20C2×#10623146C211yesmaximal, characteristic, complemented
21C2×#10623196C211yesmaximal, characteristic, complemented
22C2×#10623238C211yesmaximal, characteristic, complemented
23C2×#10623124C211yesmaximal, characteristic, complemented
24C2×#10623124C211yesmaximal, characteristic, complemented
25C2×#10623144C211yesmaximal, characteristic, complemented
26C2×#10623144C211yesmaximal, characteristic, complemented
27C2×#10623179C211yesmaximal, characteristic, complemented
28C2×#10623123C211yesmaximal, characteristic, complemented
29C2×#10623127C211yesmaximal, characteristic, complemented
30C2×#10623131C211yesmaximal, characteristic, complemented
31C2×#10623180C211yesmaximal, characteristic, complemented
32C2×C11×#560C211yesmaximal, characteristic, complemented
33C23×C22⋊D11C2211yescharacteristic
34C22×#4341C2211yescharacteristic
35C22×#4341C2211yescharacteristic
36C22×#4341C2211yescharacteristic
37C22×#4341C2211yescharacteristic, complemented
38C23×Dic22C2211yescharacteristic, complemented
39C11×#560C22116yescomplemented
40C2×C11×#127C2211yescharacteristic, complemented
41C2×C11×#126C2211yescharacteristic
42C2×C11×#126C2211yescharacteristic, complemented
43C2×C11×#123C2211yescharacteristic, complemented
44C2×C11×#123C2211yescharacteristic, complemented
45C2×C11×#123C2211yescharacteristic, complemented
46C2×C11×#121C2211yescharacteristic
47C2×C11×#121C2211yescharacteristic
48C2×C11×#121C2211yescharacteristic
49C2×C11×#121C2211yescharacteristic, complemented
50C2×C11×#121C2211yescharacteristic, complemented
51C2×C11×#121C2211yescharacteristic, complemented
52C2×C11×#120C2211yescharacteristic
53C2×C11×#120C2211yescharacteristic
54C2×C11×#120C2211yescharacteristic
55C2×#67006C2211yescharacteristic
56C22×C22⋊Dic11C2211yescharacteristic
57C22×C22⋊Dic11C2211yescharacteristic
58C2×#66993C2211yescharacteristic
59C2×#66993C2211yescharacteristic
60C2×#66993C2211yescharacteristic, complemented
61C2×#66992C2211yescharacteristic
62C2×#66992C2211yescharacteristic
63C2×#66992C2211yescharacteristic
64C2×#66992C2211yescharacteristic
65C2×#66992C2211yescharacteristic
66C2×#66992C2211yescharacteristic
67C2×#66992C2211yescharacteristic
68C2×#66992C2211yescharacteristic, complemented
69C2×#66992C2211yescharacteristic, complemented
70C2×#66992C2211yescharacteristic, complemented
71C2×#66992C2211yescharacteristic, complemented
72C2×#66992C2211yescharacteristic, complemented
73C2×#66992C2211yescharacteristic, complemented
74C2×#66992C2211yescharacteristic, complemented
75C2×#66991C2211yescharacteristic
76C2×#66991C2211yescharacteristic
77C2×#66991C2211yescharacteristic
78C2×#66991C2211yescharacteristic, complemented
79C2×#66991C2211yescharacteristic, complemented
80C2×#66991C2211yescharacteristic, complemented
81C2×#66990C2211yescharacteristic
82C2×#66990C2211yescharacteristic
83C2×#66990C2211yescharacteristic
84C2×#66989C2211yescharacteristic
85C2×#66989C2211yescharacteristic
86C2×#66989C2211yescharacteristic, complemented
87C2×#66988C2211yescharacteristic
88C2×#66988C2211yescharacteristic
89C2×#66988C2211yescharacteristic, complemented
90C2×#66988C2211yescharacteristic, complemented
91C2×#66988C2211yescharacteristic, complemented
92C2×#66988C2211yescharacteristic, complemented
93C2×#66988C2211yescharacteristic, complemented
94C2×D4×Dic11C2211yescharacteristic
95C2×D4×Dic11C2211yescharacteristic
96C2×D4×Dic11C2211yescharacteristic, complemented
97C2×D4×Dic11C2211yescharacteristic, complemented
98C2×D4×Dic11C2211yescharacteristic, complemented
99C2×D4×Dic11C2211yescharacteristic, complemented
100C2×D4×Dic11C2211yescharacteristic, complemented
101C2×D4×Dic11C2211yescharacteristic, complemented
102C2×#66983C2211yescharacteristic, complemented
103C2×#66982C2211yescharacteristic, complemented
104C2×#66982C2211yescharacteristic, complemented
105C2×#66982C2211yescharacteristic, complemented
106C2×C4×C22⋊D11C2211yescharacteristic, complemented
107C2×C4×C22⋊D11C2211yescharacteristic, complemented
108C2×C4×C22⋊D11C2211yescharacteristic, complemented
109C2×C4×C22⋊D11C2211yescharacteristic, complemented
110C22×C4⋊Dic11C2211yescharacteristic, complemented
111C2×#66977C2211yescharacteristic, complemented
112C22×C4×Dic11C2211yescharacteristic, complemented
113#10623250C22116yescomplemented
114#10623249C22116yescomplemented
115#10623238C22116yescomplemented
116#10623236C22116yescomplemented
117#10623233C22116yescomplemented
118#10623232C22116yescomplemented
119#10623198C22116yescomplemented
120#10623196C22116yescomplemented
121#10623195C22116yescomplemented
122#10623192C22116yescomplemented
123#10623180C22116yescomplemented
124#10623179C22116yescomplemented
125#10623152C22116yescomplemented
126#10623151C22116yescomplemented
127#10623149C22116yescomplemented
128#10623146C22116yescomplemented
129#10623146C22116yescomplemented
130#10623144C22116yescomplemented
131#10623144C22116yescomplemented
132#10623142C22116yescomplemented
133#10623131C22116yescomplemented
134#10623129C22116yescomplemented
135#10623129C22116yescomplemented
136#10623127C22116yescomplemented
137#10623124C22116yescomplemented
138#10623124C22116yescomplemented
139#10623123C22116yescomplemented
140#10623122C22116yescomplemented
141#10623122C22116yescomplemented
142#10623118C22116yescomplemented
143C2×#66951C2211yescharacteristic, complemented
144C2×#66951C2211yescharacteristic, complemented
145C2×#66951C2211yescharacteristic, complemented
146C2×#66950C2211yescharacteristic, complemented
147C2×#66950C2211yescharacteristic, complemented
148C2×#66949C2211yescharacteristic, complemented
149C2×#66949C2211yescharacteristic, complemented
150C2×#66949C2211yescharacteristic, complemented
151C2×#66947C2211yescharacteristic, complemented
152C2×#66947C2211yescharacteristic, complemented
153C2×#66947C2211yescharacteristic, complemented
154C2×#66946C2211yescharacteristic, complemented
155C2×#66945C2211yescharacteristic, complemented
156C2×C4⋊C4×D11C2211yescharacteristic, complemented
157C2×#66943C2211yescharacteristic, complemented
158C2×#66943C2211yescharacteristic, complemented
159C2×#66942C2211yescharacteristic, complemented
160C2×#66942C2211yescharacteristic, complemented
161C2×#66942C2211yescharacteristic, complemented
162C2×#66941C2211yescharacteristic, complemented
163C2×#66941C2211yescharacteristic, complemented
164C2×#66940C2211yescharacteristic, complemented
165C2×#66940C2211yescharacteristic, complemented
166C2×#66940C2211yescharacteristic, complemented
167C2×#66939C2211yescharacteristic
168C2×#66939C2211yescharacteristic
169C2×#66939C2211yescharacteristic, complemented
170C2×#66938C2211yescharacteristic
171C2×#66938C2211yescharacteristic
172C2×#66938C2211yescharacteristic
173C2×#66938C2211yescharacteristic
174C2×#66938C2211yescharacteristic
175C2×#66938C2211yescharacteristic, complemented
176C2×#66938C2211yescharacteristic, complemented
177C2×#66938C2211yescharacteristic, complemented
178C2×#66938C2211yescharacteristic, complemented
179C2×#66937C2211yescharacteristic
180C2×#66937C2211yescharacteristic
181C2×#66937C2211yescharacteristic, complemented
182C2×#66936C2211yescharacteristic
183C2×#66936C2211yescharacteristic
184C2×#66936C2211yescharacteristic
185C2×#66936C2211yescharacteristic, complemented
186C2×#66936C2211yescharacteristic, complemented
187C2×#66935C2211yescharacteristic
188C2×(C22⋊D11)⋊C4C2211yescharacteristic
189C2×(C22⋊D11)⋊C4C2211yescharacteristic
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×#66932C2211yescharacteristic, complemented
203C2×#66931C2211yescharacteristic
204C2×#66931C2211yescharacteristic
205C2×#66931C2211yescharacteristic, complemented
206C2×#66931C2211yescharacteristic, complemented
207C2×#66931C2211yescharacteristic, complemented
208C2×#66931C2211yescharacteristic, complemented
209C2×#66931C2211yescharacteristic, complemented
210C2×#66931C2211yescharacteristic, complemented
211C2×#66930C2211yescharacteristic
212C2×#66930C2211yescharacteristic, complemented
213C2×#66930C2211yescharacteristic, complemented
214C2×#66930C2211yescharacteristic, complemented
215C2×C4×D44C2211yescharacteristic, complemented
216C2×#66925C2211yescharacteristic, complemented
217C2×#66923C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C25×C11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C22×D4×C11C2311yescharacteristic
222C22×D4×C11C2311yescharacteristic
223C22×D4×C11C2311yescharacteristic
224C22×D4×C11C2311yescharacteristic
225C22×D4×C11C2311yescharacteristic
226C22×D4×C11C2311yescharacteristic
227C22×D4×C11C2311yescharacteristic
228C22×D4×C11C2311yescharacteristic
229C22×D4×C11C2311yescharacteristic
230C22×D4×C11C2311yescharacteristic
231C22×D4×C11C2311yescharacteristic
232C22×D4×C11C2311yescharacteristic
233C23×C4×C11C2311yescharacteristic
234C23×C4×C11C2311yescharacteristic
235C23×C4×C11C2311yescharacteristic
236C22×C22⋊D11—44no—
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⋊D11C2311yescharacteristic
253C22×C22⋊D11C2318yes—
254C23×Dic11C2311yescharacteristic
255C23×Dic11C2311yescharacteristic
256C23×Dic11C2311yescharacteristic
257C23×Dic11C2311yescharacteristic
258C23×Dic11C2311yescharacteristic
259C23×Dic11C2311yescharacteristic
260C23×Dic11C2311yescharacteristic
261C23×Dic11C2311yescharacteristic
262C23×Dic11C2311yescharacteristic
263C23×Dic11C2311yescharacteristic
264C23×Dic11C2311yescharacteristic
265C2×#4341—44no—
266C2×#4341—44no—
267C2×#4341—44no—
268C2×#4341—44no—
269C2×#4341C2318yes—
270C2×#4341C2318yes—
271C2×#4341C2318yes—
272C2×#4341C2318yescomplemented
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×Dic22—44no—
283C22×Dic22C2311yescharacteristic
284C22×Dic22C2311yescharacteristic
285C22×Dic22C2311yescharacteristic
286C22×Dic22C2311yescharacteristic
287C22×Dic22C2311yescharacteristic
288C22×Dic22C2311yescharacteristic
289C22×Dic22C2318yescomplemented
290C11×#127C2318yescomplemented
291C11×#126C2318yes—
292C11×#126C2318yescomplemented
293C11×#123C2318yescomplemented
294C11×#123C2318yescomplemented
295C11×#123C2318yescomplemented
296C11×#121C2318yes—
297C11×#121C2318yes—
298C11×#121C2318yes—
299C11×#121C2318yescomplemented
300C11×#121C2318yescomplemented
301C11×#121C2318yescomplemented
302C11×#120C2318yes—
303C11×#120C2318yes—
304C11×#120C2318yes—
305C2×C11×C4⋊C4C2311yescharacteristic
306C2×C11×C4⋊C4C2311yescharacteristic
307C2×C11×C4⋊C4C2311yescharacteristic
308C2×C11×C4⋊C4C2311yescharacteristic
309C2×C11×C4⋊C4C2311yescharacteristic
310C2×C11×C4⋊C4C2311yescharacteristic
311C2×C11×C22⋊C4C2311yescharacteristic
312C2×C11×C22⋊C4C2311yescharacteristic
313C2×C11×C22⋊C4C2311yescharacteristic
314C2×C11×C22⋊C4C2311yescharacteristic
315C2×C11×C22⋊C4C2311yescharacteristic
316C2×C11×C22⋊C4C2311yescharacteristic
317C2×C11×C22⋊C4C2311yescharacteristic
318C2×C11×C22⋊C4C2311yescharacteristic
319C2×C11×C22⋊C4C2311yescharacteristic
320C2×C11×C22⋊C4C2311yescharacteristic
321C2×C11×C22⋊C4C2311yescharacteristic
322C2×C11×C22⋊C4C2311yescharacteristic
323C2×C42×C11C2311yescharacteristic
324#67006C2318yes—
325C2×C22⋊Dic11C2311yescharacteristic
326C2×C22⋊Dic11C2311yescharacteristic
327C2×C22⋊Dic11C2311yescharacteristic
328C2×C22⋊Dic11C2311yescharacteristic
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⋊Dic11C2311yescharacteristic
344C2×C22⋊Dic11C2311yescharacteristic
345C2×C22⋊Dic11C2318yes—
346C2×C22⋊Dic11C2318yes—
347#66993C2318yes—
348#66993C2318yes—
349#66993C2318yescomplemented
350#66992C2318yes—
351#66992C2318yes—
352#66992C2318yes—
353#66992C2318yes—
354#66992C2318yes—
355#66992C2318yes—
356#66992C2318yes—
357#66992C2318yescomplemented
358#66992C2318yescomplemented
359#66992C2318yescomplemented
360#66992C2318yescomplemented
361#66992C2318yescomplemented
362#66992C2318yescomplemented
363#66992C2318yescomplemented
364#66991C2318yes—
365#66991C2318yes—
366#66991C2318yes—
367#66991C2318yescomplemented
368#66991C2318yescomplemented
369#66991C2318yescomplemented
370#66990C2318yes—
371#66990C2318yes—
372#66990C2318yes—
373#66989C2318yes—
374#66989C2318yes—
375#66989C2318yescomplemented
376#66988C2318yes—
377#66988C2318yes—
378#66988C2318yescomplemented
379#66988C2318yescomplemented
380#66988C2318yescomplemented
381#66988C2318yescomplemented
382#66988C2318yescomplemented
383D4×Dic11C2318yes—
384D4×Dic11C2318yes—
385D4×Dic11C2318yescomplemented
386D4×Dic11C2318yescomplemented
387D4×Dic11C2318yescomplemented
388D4×Dic11C2318yescomplemented
389D4×Dic11C2318yescomplemented
390D4×Dic11C2318yescomplemented
391#66983C2318yescomplemented
392#66982C2318yescomplemented
393#66982C2318yescomplemented
394#66982C2318yescomplemented
395C4×C22⋊D11C2318yescomplemented
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×C4⋊Dic11C2311yescharacteristic
416C2×C4⋊Dic11C2311yescharacteristic
417C2×C4⋊Dic11C2311yescharacteristic
418C2×C4⋊Dic11C2311yescharacteristic
419C2×C4⋊Dic11C2311yescharacteristic
420C2×C4⋊Dic11C2311yescharacteristic
421C2×C4⋊Dic11C2311yescharacteristic
422C2×C4⋊Dic11C2311yescharacteristic
423C2×C4⋊Dic11C2311yescharacteristic
424C2×C4⋊Dic11C2311yescharacteristic
425C2×C4⋊Dic11C2318yescomplemented
426#66977C2318yescomplemented
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×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
453C2×C4×Dic11C2311yescharacteristic
454C2×C4×Dic11C2311yescharacteristic
455C2×C4×Dic11C2311yescharacteristic
456C2×C4×Dic11C2311yescharacteristic
457C2×C4×Dic11C2311yescharacteristic
458C2×C4×Dic11C2318yescomplemented
459#66951C2318yescomplemented
460#66951C2318yescomplemented
461#66951C2318yescomplemented
462#66950C2318yescomplemented
463#66950C2318yescomplemented
464#66949C2318yescomplemented
465#66949C2318yescomplemented
466#66949C2318yescomplemented
467#66947C2318yescomplemented
468#66947C2318yescomplemented
469#66947C2318yescomplemented
470#66946C2318yescomplemented
471#66945C2318yescomplemented
472C4⋊C4×D11C2318yescomplemented
473#66943C2318yescomplemented
474#66943C2318yescomplemented
475#66942C2318yescomplemented
476#66942C2318yescomplemented
477#66942C2318yescomplemented
478#66941C2318yescomplemented
479#66941C2318yescomplemented
480#66940C2318yescomplemented
481#66940C2318yescomplemented
482#66940C2318yescomplemented
483#66939C2318yes—
484#66939C2318yes—
485#66939C2318yescomplemented
486#66938C2318yes—
487#66938C2318yes—
488#66938C2318yes—
489#66938C2318yes—
490#66938C2318yes—
491#66938C2318yescomplemented
492#66938C2318yescomplemented
493#66938C2318yescomplemented
494#66938C2318yescomplemented
495#66937C2318yes—
496#66937C2318yes—
497#66937C2318yescomplemented
498#66936C2318yes—
499#66936C2318yes—
500#66936C2318yes—
501#66936C2318yescomplemented
502#66936C2318yescomplemented
503#66935C2318yes—
504(C22⋊D11)⋊C4C2318yes—
505(C22⋊D11)⋊C4C2318yes—
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#66932C2318yescomplemented
519#66931C2318yes—
520#66931C2318yes—
521#66931C2318yescomplemented
522#66931C2318yescomplemented
523#66931C2318yescomplemented
524#66931C2318yescomplemented
525#66931C2318yescomplemented
526#66931C2318yescomplemented
527#66930C2318yes—
528#66930C2318yescomplemented
529#66930C2318yescomplemented
530#66930C2318yescomplemented
531C4×D44C2318yescomplemented
532#66925C2318yescomplemented
533#66923C2318yescomplemented
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×C11C2411yescharacteristic
545C24×C11C2414yes—
546C23×D11—42no—
547C23×D11—42no—
548C23×D11—42no—
549C23×D11C2411yescharacteristic
550C23×D11C2411yescharacteristic
551C23×D11C2411yescharacteristic
552C23×D11C2414yes—
553C2×D4×C11—42no—
554C2×D4×C11—42no—
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×C11—42no—
563C2×D4×C11—42no—
564C2×D4×C11—42no—
565C2×D4×C11C2414yes—
566C2×D4×C11C2414yes—
567C2×D4×C11C2414yes—
568C2×D4×C11C2414yes—
569C2×D4×C11C2414yes—
570C2×D4×C11C2414yes—
571C2×D4×C11C2414yes—
572C2×D4×C11C2414yes—
573C2×D4×C11C2414yes—
574C2×D4×C11C2414yes—
575C2×D4×C11C2414yes—
576C2×D4×C11C2414yes—
577C22×C4×C11—42no—
578C22×C4×C11—42no—
579C22×C4×C11—42no—
580C22×C4×C11C2411yescharacteristic
581C22×C4×C11C2411yescharacteristic
582C22×C4×C11C2411yescharacteristic
583C22×C4×C11C2411yescharacteristic
584C22×C4×C11C2411yescharacteristic
585C22×C4×C11C2411yescharacteristic
586C22×C4×C11C2411yescharacteristic
587C22×C4×C11C2411yescharacteristic
588C22×C4×C11C2411yescharacteristic
589C22×C4×C11C2414yes—
590C22×C4×C11C2414yes—
591C22×C4×C11C2414yes—
592C2×C22⋊D11—24no—
593C2×C22⋊D11—24no—
594C2×C22⋊D11—24no—
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—42no—
606C2×C22⋊D11—42no—
607C2×C22⋊D11—42no—
608C2×C22⋊D11—416no—
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—
624C2×C22⋊D11C2414yes—
625C22×Dic11—24no—
626C22×Dic11—24no—
627C22×Dic11—24no—
628C22×Dic11—42no—
629C22×Dic11—42no—
630C22×Dic11—42no—
631C22×Dic11—42no—
632C22×Dic11—42no—
633C22×Dic11—42no—
634C22×Dic11—42no—
635C22×Dic11—42no—
636C22×Dic11C2414yes—
637C22×Dic11C2414yes—
638C22×Dic11C2414yes—
639C22×Dic11C2411yescharacteristic
640C22×Dic11C2411yescharacteristic
641C22×Dic11C2411yescharacteristic
642C22×Dic11C2411yescharacteristic
643C22×Dic11C2411yescharacteristic
644C22×Dic11C2411yescharacteristic
645C22×Dic11C2411yescharacteristic
646C22×Dic11C2411yescharacteristic
647C22×Dic11C2411yescharacteristic
648C22×Dic11C2411yescharacteristic
649C22×Dic11C2411yescharacteristic
650C22×Dic11C2411yescharacteristic
651C22×Dic11C2414yes—
652C22×Dic11C2414yes—
653C22×Dic11C2414yes—
654C22×Dic11C2414yes—
655C22×Dic11C2414yes—
656C22×Dic11C2414yes—
657C22×Dic11C2414yes—
658C22×Dic11C2414yes—
659C22×Dic11C2411yescharacteristic
660#4341—416no—
661#4341—416no—
662#4341—416no—
663#4341—416no—
664C2×D44—42no—
665C2×D44—42no—
666C2×D44C2414yes—
667C2×D44C2414yes—
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×Dic22—24no—
683C2×Dic22—24no—
684C2×Dic22—24no—
685C2×Dic22—42no—
686C2×Dic22—42no—
687C2×Dic22—42no—
688C2×Dic22—416no—
689C2×Dic22C2414yes—
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—
713C42×C11C2414yes—
714C22⋊Dic11C2414yes—
715C22⋊Dic11C2414yes—
716C22⋊Dic11C2414yes—
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—
731C22⋊Dic11C2414yes—
732C22⋊Dic11C2414yes—
733C22⋊Dic11C2414yes—
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—
750C4⋊Dic11C2414yes—
751C4⋊Dic11C2414yes—
752C4⋊Dic11C2414yes—
753C4⋊Dic11C2414yes—
754C4⋊Dic11C2414yes—
755C4⋊Dic11C2414yes—
756C4⋊Dic11C2414yes—
757C4⋊Dic11C2414yes—
758C4⋊Dic11C2414yes—
759C4⋊Dic11C2414yes—
760Dic11⋊C4C2414yes—
761Dic11⋊C4C2414yes—
762Dic11⋊C4C2414yes—
763Dic11⋊C4C2414yes—
764Dic11⋊C4C2414yes—
765Dic11⋊C4C2414yes—
766Dic11⋊C4C2414yes—
767Dic11⋊C4C2414yes—
768Dic11⋊C4C2414yes—
769Dic11⋊C4C2414yes—
770Dic11⋊C4C2414yes—
771Dic11⋊C4C2414yes—
772Dic11⋊C4C2414yes—
773Dic11⋊C4C2414yes—
774Dic11⋊C4C2414yes—
775Dic11⋊C4C2414yes—
776Dic11⋊C4C2414yes—
777Dic11⋊C4C2414yes—
778Dic11⋊C4C2414yes—
779Dic11⋊C4C2414yes—
780C4×Dic11C2414yes—
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×#560D1111yescharacteristic, complemented
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×#538—111no—
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—22no—
839C23×C11—22no—
840C23×C11—22no—
841C23×C11—44no—
842C23×C11—44no—
843C23×C11—44no—
844C23×C11—88no—
845C23×C11C2512yes—
846C23×C11C2512yes—
847C23×C11C2512yes—
848C23×C11C2512yes—
849C23×C11C2512yes—
850C23×C11C2512yes—
851C23×C11C2511yescharacteristic
852C22×D11—22no—
853C22×D11—22no—
854C22×D11—22no—
855C22×D11—22no—
856C22×D11—22no—
857C22×D11—22no—
858C22×D11—22no—
859C22×D11—22no—
860C22×D11—22no—
861C22×D11—44no—
862C22×D11—44no—
863C22×D11—44no—
864C22×D11—88no—
865C22×D11C2512yes—
866C22×D11C2512yes—
867C22×D11C2512yes—
868D4×C11—44no—
869D4×C11—44no—
870D4×C11—44no—
871D4×C11—44no—
872D4×C11—44no—
873D4×C11—44no—
874D4×C11—44no—
875D4×C11—44no—
876D4×C11—44no—
877D4×C11—44no—
878D4×C11—44no—
879D4×C11—44no—
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—22no—
887C2×C4×C11—22no—
888C2×C4×C11—22no—
889C2×C4×C11—44no—
890C2×C4×C11—44no—
891C2×C4×C11—44no—
892C2×C4×C11C2512yes—
893C2×C4×C11C2512yes—
894C2×C4×C11C2512yes—
895C2×C4×C11C2512yes—
896C2×C4×C11C2512yes—
897C2×C4×C11C2512yes—
898C2×C4×C11C2512yes—
899C2×C4×C11C2512yes—
900C2×C4×C11C2512yes—
901C22⋊D11—28no—
902C22⋊D11—28no—
903C22⋊D11—28no—
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—
917C2×Dic11—22no—
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—28no—
932C2×Dic11—44no—
933C2×Dic11—44no—
934C2×Dic11—44no—
935C2×Dic11—44no—
936C2×Dic11—44no—
937C2×Dic11—44no—
938C2×Dic11—44no—
939C2×Dic11—44no—
940C2×Dic11H(5,𝔽2)14yes—
941C2×Dic11C2512yes—
942C2×Dic11C2512yes—
943C2×Dic11C2512yes—
944C2×Dic11C2512yes—
945C2×Dic11C2512yes—
946C2×Dic11C2512yes—
947C2×Dic11C2512yes—
948C2×Dic11C2512yes—
949C2×Dic11C2512yes—
950C2×Dic11C2512yes—
951C2×Dic11C2512yes—
952C2×Dic11C2512yes—
953C2×Dic11C2512yes—
954D44—44no—
955D44—44no—
956C4×D11—44no—
957C4×D11—44no—
958C4×D11—44no—
959C4×D11—44no—
960C4×D11—44no—
961C4×D11—44no—
962C4×D11—44no—
963Dic22—28no—
964Dic22—28no—
965Dic22—28no—
966Dic22—44no—
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#560C2×D11116yescomplemented
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#538—1116no—
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×#127C2×D1111yescharacteristic, complemented
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×#124—111no—
1041C2×#124—111no—
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×#123C2×D1111yescharacteristic, complemented
1064C2×#123C2×D1111yescharacteristic, complemented
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⋊Q8—111no—
1080C2×#121—111no—
1081C2×#121—111no—
1082C2×#121—111no—
1083C2×#121—111no—
1084C2×#121—111no—
1085C2×#121—111no—
1086C2×#121—111no—
1087C2×#121—111no—
1088C2×#121—111no—
1089C2×#121—111no—
1090C2×#121—111no—
1091C2×#121—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×#121C2×D1111yescharacteristic
1105C2×#121C2×D1111yescharacteristic
1106C2×#121C2×D1111yescharacteristic
1107C2×#121C2×D1111yescharacteristic, complemented
1108C2×#121C2×D1111yescharacteristic, complemented
1109C2×#121C2×D1111yescharacteristic, complemented
1110C2×#120—111no—
1111C2×#120—111no—
1112C2×#120—111no—
1113C2×#120—111no—
1114C2×#120—111no—
1115C2×#120C2×D1111yescharacteristic
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×D4—111no—
1141C2×C4×D4—111no—
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⋊C4—111no—
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—22no—
1171C22×C11—22no—
1172C22×C11—22no—
1173C22×C11—44no—
1174C22×C11—44no—
1175C22×C11—44no—
1176C22×C11—44no—
1177C22×C11—44no—
1178C22×C11—44no—
1179C22×C11—88no—
1180C22×C11C2×H(5,𝔽2)12yes—
1181C22×C11#58512yes—
1182C22×C11#58512yes—
1183C22×C11C2611yescharacteristic
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—22no—
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—
1206Dic11—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—111no—
1230C22×Q8—111no—
1231C22×Q8—111no—
1232C22×Q8—111no—
1233C22×Q8—111no—
1234C22×Q8—111no—
1235C22×Q8—118no—
1236C22×Q8—444no—
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—118no—
1254C22×D4—111no—
1255C22×D4—111no—
1256C22×D4—444no—
1257C22×D4C22×D1111yescharacteristic
1258C22×D4C22×D1111yescharacteristic
1259C22×D4C22×D1111yescharacteristic
1260C22×D4C22×D1111yescharacteristic
1261C22×D4C22×D1111yescharacteristic
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×C4—111no—
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#127C22×D1118yescomplemented
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#124—118no—
1325#124—118no—
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#123C22×D1118yescomplemented
1348#123C22×D1118yescomplemented
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⋊Q8—118no—
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#121C22×D1118yes—
1389#121C22×D1118yes—
1390#121C22×D1118yes—
1391#121C22×D1118yescomplemented
1392#121C22×D1118yescomplemented
1393#121C22×D1118yescomplemented
1394#120—118no—
1395#120—118no—
1396#120—118no—
1397#120—118no—
1398#120—118no—
1399#120C22×D1118yes—
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×D4—118no—
1425C4×D4—118no—
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—111no—
1476C2×C22⋊C4—111no—
1477C2×C22⋊C4—111no—
1478C2×C22⋊C4—118no—
1479C2×C22⋊C4—118no—
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—111no—
1506C2×C22⋊C4—111no—
1507C2×C22⋊C4—111no—
1508C2×C22⋊C4—118no—
1509C2×C22⋊C4—118no—
1510C2×C22⋊C4C22×D1111yescharacteristic
1511C2×C22⋊C4C22×D1111yescharacteristic
1512C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
1533C2×C42—118no—
1534C2×C42C22×D1111yescharacteristic
1535C2×C11—42no—
1536C2×C11—42no—
1537C2×C11—42no—
1538C2×C11—42no—
1539C2×C11—42no—
1540C2×C11—42no—
1541C2×C11#356214yescomplemented
1542C2×C11C22×H(5,𝔽2)11yescharacteristic
1543C2×C11C2×#58511yescharacteristic
1544C2×C11C2×#58511yescharacteristic
1545D11—42no—
1546D11—42no—
1547D11—42no—
1548C24—42no—
1549C24—42no—
1550C24—42no—
1551C24—111no—
1552C24—111no—
1553C24—111no—
1554C24—114no—
1555C24—442no—
1556C24—442no—
1557C24—442no—
1558C24C23×D1111yescharacteristic
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—114no—
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—442no—
1581C2×Q8—4416no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
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—4416no—
1618C2×D4—442no—
1619C2×D4—442no—
1620C2×D4—442no—
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×D4C23×D1114yes—
1632C2×D4C23×D1114yes—
1633C2×D4C23×D1114yes—
1634C2×D4C23×D1114yes—
1635C2×D4C23×D1114yes—
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—111no—
1647C22×C4—114no—
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—111no—
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—114no—
1677C22×C4—224no—
1678C22×C4—224no—
1679C22×C4—224no—
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×C4—442no—
1694C22×C4—442no—
1695C22×C4C23×D1111yescharacteristic
1696C22×C4C23×D1111yescharacteristic
1697C22×C4C23×D1111yescharacteristic
1698C22×C4C23×D1111yescharacteristic
1699C22×C4C23×D1111yescharacteristic
1700C22×C4C23×D1111yescharacteristic
1701C22×C4C23×D1111yescharacteristic
1702C22×C4C23×D1111yescharacteristic
1703C22×C4C23×D1111yescharacteristic
1704C22×C4C23×D1114yes—
1705C22×C4C23×D1114yes—
1706C22×C4C23×D1114yes—
1707C4⋊C4—114no—
1708C4⋊C4—114no—
1709C4⋊C4—114no—
1710C4⋊C4—114no—
1711C4⋊C4—114no—
1712C4⋊C4—114no—
1713C4⋊C4—114no—
1714C4⋊C4—114no—
1715C4⋊C4—114no—
1716C4⋊C4—114no—
1717C4⋊C4—114no—
1718C4⋊C4—114no—
1719C4⋊C4—114no—
1720C4⋊C4—114no—
1721C4⋊C4—114no—
1722C4⋊C4—114no—
1723C4⋊C4—114no—
1724C4⋊C4—114no—
1725C4⋊C4—114no—
1726C4⋊C4—114no—
1727C4⋊C4—114no—
1728C4⋊C4—114no—
1729C4⋊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⋊C4—114no—
1778C22⋊C4—114no—
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—
1801C42—114no—
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—22no—
1820C23—22no—
1821C23—22no—
1822C23—44no—
1823C23—44no—
1824C23—44no—
1825C23—88no—
1826C23—112no—
1827C23—112no—
1828C23—112no—
1829C23—222no—
1830C23—222no—
1831C23—222no—
1832C23—222no—
1833C23—222no—
1834C23—222no—
1835C23—222no—
1836C23—222no—
1837C23—222no—
1838C23—444no—
1839C23—444no—
1840C23—444no—
1841C23—888no—
1842C23C24×D1112yes—
1843C23C24×D1112yes—
1844C23C24×D1112yes—
1845C23C24×D1112yes—
1846C23C24×D1112yes—
1847C23C24×D1112yes—
1848C23C24×D1111yescharacteristic
1849Q8—228no—
1850Q8—228no—
1851Q8—228no—
1852Q8—444no—
1853Q8—444no—
1854Q8—444no—
1855D4—44no—
1856D4—44no—
1857D4—44no—
1858D4—44no—
1859D4—44no—
1860D4—44no—
1861D4—44no—
1862D4—44no—
1863D4—44no—
1864D4—44no—
1865D4—44no—
1866D4—44no—
1867D4—228no—
1868D4—228no—
1869D4—228no—
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—44no—
1895C2×C4—44no—
1896C2×C4—44no—
1897C2×C4—114no—
1898C2×C4—112no—
1899C2×C4—112no—
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—228no—
1912C2×C4—228no—
1913C2×C4—228no—
1914C2×C4—222no—
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×C4—444no—
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—22no—
1966C22—22no—
1967C22—22no—
1968C22—44no—
1969C22—44no—
1970C22—44no—
1971C22—44no—
1972C22—44no—
1973C22—44no—
1974C22—88no—
1975C22—222no—
1976C22—222no—
1977C22—222no—
1978C22—222no—
1979C22—222no—
1980C22—222no—
1981C22—222no—
1982C22—222no—
1983C22—222no—
1984C22—444no—
1985C22—444no—
1986C22—444no—
1987C22—888no—
1988C22D11×H(5,𝔽2)12yes—
1989C22#1062345512yes—
1990C22#1062345512yes—
1991C22C25×D1111yescharacteristic
1992C4—22no—
1993C4—22no—
1994C4—22no—
1995C4—22no—
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—114no—
2002C4—222no—
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—42no—
2020C2—442no—
2021C2—442no—
2022C2—442no—
2023C2#1308319314yesdirect product factor
2024C2C2×D11×H(5,𝔽2)11yescharacteristic
2025C2C2×#1062345511yescharacteristic
2026C2C2×#1062345511yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#560C2
socleC23×C11C25
hypercenterC2×#560D11
hypocenterC11C2×#3562
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#560

Complements

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

NH ≅ G/Ntype
1. #13083193C2direct (N × H)
2. C2×#10623198C2semidirect
3. C2×#10623152C2semidirect
4. C2×#10623151C2semidirect
5. C2×#10623195C2semidirect
6. C2×#10623233C2semidirect
7. C2×#10623149C2semidirect
8. C2×#10623192C2semidirect
9. C2×#10623118C2semidirect
10. C2×#10623236C2semidirect
11. C2×#10623249C2semidirect
12. C2×#10623129C2semidirect
13. C2×#10623129C2semidirect
14. C2×#10623142C2semidirect
15. C2×#10623122C2semidirect
16. C2×#10623122C2semidirect
17. C2×#10623232C2semidirect
18. C2×#10623250C2semidirect
19. C2×#10623146C2semidirect
20. C2×#10623146C2semidirect
21. C2×#10623196C2semidirect
22. C2×#10623238C2semidirect
23. C2×#10623124C2semidirect
24. C2×#10623124C2semidirect
25. C2×#10623144C2semidirect
26. C2×#10623144C2semidirect
27. C2×#10623179C2semidirect
28. C2×#10623123C2semidirect
29. C2×#10623127C2semidirect
30. C2×#10623131C2semidirect
31. C2×#10623180C2semidirect
32. C2×C11×#560C2semidirect
37. C22×#4341C22semidirect
38. C23×Dic22C22semidirect
39. C11×#560C22semidirect
40. C2×C11×#127C22semidirect
42. C2×C11×#126C22semidirect
43. C2×C11×#123C22semidirect
44. C2×C11×#123C22semidirect
45. C2×C11×#123C22semidirect
49. C2×C11×#121C22semidirect
50. C2×C11×#121C22semidirect
51. C2×C11×#121C22semidirect
60. C2×#66993C22semidirect
68. C2×#66992C22semidirect
69. C2×#66992C22semidirect
70. C2×#66992C22semidirect
71. C2×#66992C22semidirect
72. C2×#66992C22semidirect
73. C2×#66992C22semidirect
74. C2×#66992C22semidirect
78. C2×#66991C22semidirect
79. C2×#66991C22semidirect
80. C2×#66991C22semidirect
86. C2×#66989C22semidirect
89. C2×#66988C22semidirect
90. C2×#66988C22semidirect
91. C2×#66988C22semidirect
92. C2×#66988C22semidirect
93. C2×#66988C22semidirect
96. C2×D4×Dic11C22semidirect
97. C2×D4×Dic11C22semidirect
98. C2×D4×Dic11C22semidirect
99. C2×D4×Dic11C22semidirect
100. C2×D4×Dic11C22semidirect
101. C2×D4×Dic11C22semidirect
102. C2×#66983C22semidirect
103. C2×#66982C22semidirect
104. C2×#66982C22semidirect
105. C2×#66982C22semidirect
106. C2×C4×C22⋊D11C22semidirect
107. C2×C4×C22⋊D11C22semidirect
108. C2×C4×C22⋊D11C22semidirect
109. C2×C4×C22⋊D11C22semidirect
110. C22×C4⋊Dic11C22semidirect
111. C2×#66977C22semidirect
112. C22×C4×Dic11C22semidirect
113. #10623250C22semidirect
114. #10623249C22semidirect
115. #10623238C22semidirect
116. #10623236C22semidirect
117. #10623233C22semidirect
118. #10623232C22semidirect
119. #10623198C22semidirect
120. #10623196C22semidirect
121. #10623195C22semidirect
122. #10623192C22semidirect
123. #10623180C22semidirect
124. #10623179C22semidirect
125. #10623152C22semidirect
126. #10623151C22semidirect
127. #10623149C22semidirect
128. #10623146C22semidirect
129. #10623146C22semidirect
130. #10623144C22semidirect
131. #10623144C22semidirect
132. #10623142C22semidirect
133. #10623131C22semidirect
134. #10623129C22semidirect
135. #10623129C22semidirect
136. #10623127C22semidirect
137. #10623124C22semidirect
138. #10623124C22semidirect
139. #10623123C22semidirect
140. #10623122C22semidirect
141. #10623122C22semidirect
142. #10623118C22semidirect
143. C2×#66951C22semidirect
144. C2×#66951C22semidirect
145. C2×#66951C22semidirect
146. C2×#66950C22semidirect
147. C2×#66950C22semidirect
148. C2×#66949C22semidirect
149. C2×#66949C22semidirect
150. C2×#66949C22semidirect
151. C2×#66947C22semidirect
152. C2×#66947C22semidirect
153. C2×#66947C22semidirect
154. C2×#66946C22semidirect
155. C2×#66945C22semidirect
156. C2×C4⋊C4×D11C22semidirect
157. C2×#66943C22semidirect
158. C2×#66943C22semidirect
159. C2×#66942C22semidirect
160. C2×#66942C22semidirect
161. C2×#66942C22semidirect
162. C2×#66941C22semidirect
163. C2×#66941C22semidirect
164. C2×#66940C22semidirect
165. C2×#66940C22semidirect
166. C2×#66940C22semidirect
169. C2×#66939C22semidirect
175. C2×#66938C22semidirect
176. C2×#66938C22semidirect
177. C2×#66938C22semidirect
178. C2×#66938C22semidirect
181. C2×#66937C22semidirect
185. C2×#66936C22semidirect
186. C2×#66936C22semidirect
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
202. C2×#66932C22semidirect
205. C2×#66931C22semidirect
206. C2×#66931C22semidirect
207. C2×#66931C22semidirect
208. C2×#66931C22semidirect
209. C2×#66931C22semidirect
210. C2×#66931C22semidirect
212. C2×#66930C22semidirect
213. C2×#66930C22semidirect
214. C2×#66930C22semidirect
215. C2×C4×D44C22semidirect
216. C2×#66925C22semidirect
217. C2×#66923C22semidirect
218. C2×C4×Dic22C22semidirect
272. C2×#4341C23semidirect
289. C22×Dic22C23semidirect
290. C11×#127C23semidirect
292. C11×#126C23semidirect
293. C11×#123C23semidirect
294. C11×#123C23semidirect
295. C11×#123C23semidirect
299. C11×#121C23semidirect
300. C11×#121C23semidirect
301. C11×#121C23semidirect
349. #66993C23semidirect
357. #66992C23semidirect
358. #66992C23semidirect
359. #66992C23semidirect
360. #66992C23semidirect
361. #66992C23semidirect
362. #66992C23semidirect
363. #66992C23semidirect
367. #66991C23semidirect
368. #66991C23semidirect
369. #66991C23semidirect
375. #66989C23semidirect
378. #66988C23semidirect
379. #66988C23semidirect
380. #66988C23semidirect
381. #66988C23semidirect
382. #66988C23semidirect
385. D4×Dic11C23semidirect
386. D4×Dic11C23semidirect
387. D4×Dic11C23semidirect
388. D4×Dic11C23semidirect
389. D4×Dic11C23semidirect
390. D4×Dic11C23semidirect
391. #66983C23semidirect
392. #66982C23semidirect
393. #66982C23semidirect
394. #66982C23semidirect
395. C4×C22⋊D11C23semidirect
396. C4×C22⋊D11C23semidirect
397. C4×C22⋊D11C23semidirect
398. C4×C22⋊D11C23semidirect
425. C2×C4⋊Dic11C23semidirect
426. #66977C23semidirect
458. C2×C4×Dic11C23semidirect
459. #66951C23semidirect
460. #66951C23semidirect
461. #66951C23semidirect
462. #66950C23semidirect
463. #66950C23semidirect
464. #66949C23semidirect
465. #66949C23semidirect
466. #66949C23semidirect
467. #66947C23semidirect
468. #66947C23semidirect
469. #66947C23semidirect
470. #66946C23semidirect
471. #66945C23semidirect
472. C4⋊C4×D11C23semidirect
473. #66943C23semidirect
474. #66943C23semidirect
475. #66942C23semidirect
476. #66942C23semidirect
477. #66942C23semidirect
478. #66941C23semidirect
479. #66941C23semidirect
480. #66940C23semidirect
481. #66940C23semidirect
482. #66940C23semidirect
485. #66939C23semidirect
491. #66938C23semidirect
492. #66938C23semidirect
493. #66938C23semidirect
494. #66938C23semidirect
497. #66937C23semidirect
501. #66936C23semidirect
502. #66936C23semidirect
506. (C22⋊D11)⋊C4C23semidirect
507. (C22⋊D11)⋊C4C23semidirect
508. (C22⋊D11)⋊C4C23semidirect
509. (C22⋊D11)⋊C4C23semidirect
516. #66932C23semidirect
517. #66932C23semidirect
518. #66932C23semidirect
521. #66931C23semidirect
522. #66931C23semidirect
523. #66931C23semidirect
524. #66931C23semidirect
525. #66931C23semidirect
526. #66931C23semidirect
528. #66930C23semidirect
529. #66930C23semidirect
530. #66930C23semidirect
531. C4×D44C23semidirect
532. #66925C23semidirect
533. #66923C23semidirect
534. C4×Dic22C23semidirect
795. C2×#560D11semidirect
978. #560C2×D11semidirect
1009. C2×#127C2×D11semidirect
1023. C2×#126C2×D11semidirect
1063. C2×#123C2×D11semidirect
1064. C2×#123C2×D11semidirect
1065. C2×#123C2×D11semidirect
1107. C2×#121C2×D11semidirect
1108. C2×#121C2×D11semidirect
1109. C2×#121C2×D11semidirect
1295. #127C22×D11semidirect
1307. #126C22×D11semidirect
1347. #123C22×D11semidirect
1348. #123C22×D11semidirect
1349. #123C22×D11semidirect
1391. #121C22×D11semidirect
1392. #121C22×D11semidirect
1393. #121C22×D11semidirect
1541. C2×C11#3562semidirect
1803. C11C2×#3562semidirect
2023. C2#13083193direct (N × H)

Maximal subgroups

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

subgroupindex
#130831932
C2×#106231982
C2×#106231522
C2×#106231512
C2×#106231952
C2×#106232332
C2×#106231492
C2×#106231922
C2×#106231182
C2×#106232362
C2×#106232492
C2×#106231292
C2×#106231422
C2×#106231222
C2×#106232322
C2×#106232502
C2×#106231462
C2×#106231962
C2×#106232382
C2×#106231242
C2×#106231442
C2×#106231792
C2×#106231232
C2×#106231272
C2×#106231312
C2×#106231802
C2×C11×#5602
C2×#356211