Finite Group Databasebeta

← C2×#13082917 #15660904

Subgroups — C2×#13082917 #15660904

Order 2816.

8122 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082917C2132yesmaximal, direct product factor
2C2×#10623198C211yesmaximal, characteristic, complemented
3C2×#10623178C211yesmaximal, characteristic, complemented
4C2×#10623126C211yesmaximal, characteristic, complemented
5C2×#10623151C211yesmaximal, characteristic, complemented
6C2×#10623201C211yesmaximal, characteristic, complemented
7C2×#10623071C211yesmaximal, characteristic, complemented
8C2×#10623181C211yesmaximal, characteristic, complemented
9C2×#10623087C211yesmaximal, characteristic, complemented
10C2×#10623026C211yesmaximal, characteristic, complemented
11C2×#10623130C211yesmaximal, characteristic, complemented
12C2×#10623355C211yesmaximal, characteristic, complemented
13C2×#10623021C211yesmaximal, characteristic, complemented
14C2×#10623141C211yesmaximal, characteristic, complemented
15C2×#10623122C211yesmaximal, characteristic, complemented
16C2×D4×C22⋊D11C211yesmaximal, characteristic, complemented
17C2×#10623171C211yesmaximal, characteristic, complemented
18C2×#10623194C211yesmaximal, characteristic, complemented
19C2×#10623093C211yesmaximal, characteristic, complemented
20C2×#10623146C211yesmaximal, characteristic, complemented
21C2×#10623025C211yesmaximal, characteristic, complemented
22C2×#10623209C211yesmaximal, characteristic, complemented
23C2×#10623128C211yesmaximal, characteristic, complemented
24C2×#10623123C211yesmaximal, characteristic, complemented
25C2×#10623123C211yesmaximal, characteristic, complemented
26C2×#10623361C211yesmaximal, characteristic, complemented
27C2×#10623184C211yesmaximal, characteristic, complemented
28C2×#10623335C211yesmaximal, characteristic, complemented
29C2×#10623137C211yesmaximal, characteristic, complemented
30C2×#10623078C211yesmaximal, characteristic, complemented
31C22×#66937C211yesmaximal, characteristic, complemented
32C2×C11×#546C211yesmaximal, characteristic, complemented
33C22×C11×#41C2211yescharacteristic, complemented
34C23×D4×C11C2211yescharacteristic
35C23×C22⋊D11C2211yescharacteristic
36C23×C22⋊D11C2211yescharacteristic, complemented
37C23×C22⋊D11C2211yescharacteristic, complemented
38C22×#4341C2211yescharacteristic, complemented
39C22×#4341C2211yescharacteristic, complemented
40C22×#4341C2211yescharacteristic, complemented
41C22×D4×D11C2211yescharacteristic
42C22×#4339C2211yescharacteristic, complemented
43C23×D44C2211yescharacteristic, complemented
44C23×C4×D11C2211yescharacteristic, complemented
45C11×#546C22116yescomplemented
46C2×C11×#124C2211yescharacteristic, complemented
47C2×C11×#123C2211yescharacteristic
48C2×C11×#123C2211yescharacteristic, complemented
49C2×C11×C22⋊Q8C2211yescharacteristic, complemented
50C2×C11×#121C2211yescharacteristic
51C2×C11×#121C2211yescharacteristic, complemented
52C2×C11×#121C2211yescharacteristic, complemented
53C2×C11×#120C2211yescharacteristic, complemented
54C2×C11×#120C2211yescharacteristic, complemented
55C2×C4×D4×C11C2211yescharacteristic, complemented
56C2×C4×D4×C11C2211yescharacteristic, complemented
57C22×C11×C22⋊C4C2211yescharacteristic, complemented
58C22×C11×C22⋊C4C2211yescharacteristic, complemented
59C2×#67006C2211yescharacteristic
60C2×#67006C2211yescharacteristic, complemented
61C2×#67006C2211yescharacteristic, complemented
62C2×#67006C2211yescharacteristic, complemented
63C22×C22⋊Dic11C2211yescharacteristic, complemented
64#10623361C22116yescomplemented
65#10623355C22116yescomplemented
66C2×#67000C2211yescharacteristic, complemented
67C2×#67000C2211yescharacteristic, complemented
68C2×#66999C2211yescharacteristic, complemented
69C2×#66997C2211yescharacteristic, complemented
70#10623335C22116yescomplemented
71C2×#66993C2211yescharacteristic, complemented
72C2×#66993C2211yescharacteristic, complemented
73C2×#66993C2211yescharacteristic, complemented
74C2×#66993C2211yescharacteristic, complemented
75C2×#66993C2211yescharacteristic, complemented
76C2×#66992C2211yescharacteristic
77C2×#66992C2211yescharacteristic, complemented
78C2×#66992C2211yescharacteristic, complemented
79C2×#66992C2211yescharacteristic, complemented
80C2×#66992C2211yescharacteristic, complemented
81C2×#66992C2211yescharacteristic, complemented
82C2×#66992C2211yescharacteristic, complemented
83C2×#66992C2211yescharacteristic, complemented
84C2×#66992C2211yescharacteristic, complemented
85C2×#66992C2211yescharacteristic, complemented
86C2×#66992C2211yescharacteristic, complemented
87C2×#66992C2211yescharacteristic, complemented
88D4×C22⋊D11C22116yescomplemented
89C2×#66991C2211yescharacteristic, complemented
90C2×#66991C2211yescharacteristic, complemented
91C2×#66991C2211yescharacteristic, complemented
92C2×#66990C2211yescharacteristic
93C2×#66990C2211yescharacteristic
94C2×#66990C2211yescharacteristic, complemented
95C2×#66990C2211yescharacteristic, complemented
96C2×#66990C2211yescharacteristic, complemented
97C2×#66990C2211yescharacteristic, complemented
98C2×#66990C2211yescharacteristic, complemented
99C2×#66988C2211yescharacteristic
100C2×#66988C2211yescharacteristic, complemented
101C2×#66988C2211yescharacteristic, complemented
102C2×D4×Dic11C2211yescharacteristic
103C2×D4×Dic11C2211yescharacteristic, complemented
104C2×#66983C2211yescharacteristic, complemented
105C2×#66983C2211yescharacteristic, complemented
106C2×#66983C2211yescharacteristic, complemented
107C2×#66983C2211yescharacteristic, complemented
108C2×#66983C2211yescharacteristic, complemented
109C2×#66982C2211yescharacteristic, complemented
110C2×#66982C2211yescharacteristic, complemented
111C2×#66982C2211yescharacteristic, complemented
112C2×#66982C2211yescharacteristic, complemented
113C2×#66982C2211yescharacteristic, complemented
114C2×C4×C22⋊D11C2211yescharacteristic, complemented
115C2×C4×C22⋊D11C2211yescharacteristic, complemented
116C2×C4×C22⋊D11C2211yescharacteristic, complemented
117C2×C4×C22⋊D11C2211yescharacteristic, complemented
118C2×C4×C22⋊D11C2211yescharacteristic, complemented
119C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
120C2×#66979C2211yescharacteristic, complemented
121C2×#66977C2211yescharacteristic, complemented
122C2×#66977C2211yescharacteristic, complemented
123C22×Dic11⋊C4C2211yescharacteristic, complemented
124C22×Dic11⋊C4C2211yescharacteristic, complemented
125#10623209C22116yescomplemented
126#10623201C22116yescomplemented
127#10623198C22116yescomplemented
128#10623194C22116yescomplemented
129#10623184C22116yescomplemented
130#10623181C22116yescomplemented
131#10623178C22116yescomplemented
132#10623171C22116yescomplemented
133#10623151C22116yescomplemented
134#10623146C22116yescomplemented
135#10623141C22116yescomplemented
136#10623137C22116yescomplemented
137#10623130C22116yescomplemented
138#10623128C22116yescomplemented
139#10623126C22116yescomplemented
140#10623123C22116yescomplemented
141#10623123C22116yescomplemented
142#10623122C22116yescomplemented
143#10623093C22116yescomplemented
144#10623087C22116yescomplemented
145#10623078C22116yescomplemented
146#10623071C22116yescomplemented
147C2×#66951C2211yescharacteristic, complemented
148C2×#66950C2211yescharacteristic, complemented
149C2×#66949C2211yescharacteristic, complemented
150C2×#66949C2211yescharacteristic, complemented
151C2×#66949C2211yescharacteristic, complemented
152C2×#66948C2211yescharacteristic, complemented
153C2×#66948C2211yescharacteristic, complemented
154C2×#66947C2211yescharacteristic, complemented
155C2×#66947C2211yescharacteristic, complemented
156C2×#66947C2211yescharacteristic, complemented
157C2×#66947C2211yescharacteristic, complemented
158C2×#66945C2211yescharacteristic, complemented
159C2×#66943C2211yescharacteristic, complemented
160C2×#66942C2211yescharacteristic, complemented
161C2×#66942C2211yescharacteristic, complemented
162C2×#66940C2211yescharacteristic, complemented
163#10623026C22116yescomplemented
164#10623025C22116yescomplemented
165C2×#66939C2211yescharacteristic, complemented
166C2×#66939C2211yescharacteristic, complemented
167C2×#66938C2211yescharacteristic, complemented
168C2×#66938C2211yescharacteristic, complemented
169C2×#66938C2211yescharacteristic, complemented
170C2×#66938C2211yescharacteristic, complemented
171C2×#66938C2211yescharacteristic, complemented
172C2×#66938C2211yescharacteristic, complemented
173#10623021C22116yescomplemented
174C2×#66937C2211yescharacteristic
175C2×#66937C2211yescharacteristic
176C2×#66937C22116yescomplemented
177C2×#66937C2211yescharacteristic, complemented
178C2×#66937C2211yescharacteristic, complemented
179C2×#66937C2211yescharacteristic, complemented
180C2×#66937C2211yescharacteristic, complemented
181C2×#66937C2211yescharacteristic, complemented
182C2×#66937C2211yescharacteristic, complemented
183C2×#66937C2211yescharacteristic, complemented
184C2×#66937C2211yescharacteristic, complemented
185C2×#66937C2211yescharacteristic, complemented
186C2×#66937C2211yescharacteristic, complemented
187C2×#66937C2211yescharacteristic, complemented
188C2×#66937C2211yescharacteristic, complemented
189C2×#66936C2211yescharacteristic, complemented
190C2×#66936C2211yescharacteristic, complemented
191C2×#66936C2211yescharacteristic, complemented
192C2×#66936C2211yescharacteristic, complemented
193C2×#66936C2211yescharacteristic, complemented
194C2×#66936C2211yescharacteristic, complemented
195C2×#66935C2211yescharacteristic, complemented
196C2×#66935C2211yescharacteristic, complemented
197C2×#66935C2211yescharacteristic, complemented
198C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
199C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
200C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
201C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
202C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
203C2×C22⋊C4×D11C2211yescharacteristic, complemented
204C2×C22⋊C4×D11C2211yescharacteristic, complemented
205C2×#66932C2211yescharacteristic, complemented
206C2×#66932C2211yescharacteristic, complemented
207C2×#66932C2211yescharacteristic, complemented
208C2×#66932C2211yescharacteristic, complemented
209C2×#66931C2211yescharacteristic, complemented
210C2×#66931C2211yescharacteristic, complemented
211C2×#66931C2211yescharacteristic, complemented
212C2×#66930C2211yescharacteristic, complemented
213C2×#66930C2211yescharacteristic, complemented
214C2×#66930C2211yescharacteristic, complemented
215C2×#66929C2211yescharacteristic, complemented
216C2×C4×D44C2211yescharacteristic, complemented
217C2×#66925C2211yescharacteristic, complemented
218C2×#66925C2211yescharacteristic, complemented
219C25×C11C2311yescharacteristic
220C25×C11C2311yescharacteristic
221C24×D11C2311yescharacteristic
222C24×D11C2311yescharacteristic
223C24×D11C2311yescharacteristic
224C2×C11×#41—44no—
225C2×C11×#41C2318yescomplemented
226C22×Q8×C11C2311yescharacteristic
227C22×D4×C11—44no—
228C22×D4×C11C2311yescharacteristic
229C22×D4×C11C2311yescharacteristic
230C22×D4×C11C2311yescharacteristic
231C22×D4×C11C2311yescharacteristic
232C22×D4×C11C2311yescharacteristic
233C22×D4×C11C2311yescharacteristic
234C22×D4×C11C2311yescharacteristic
235C22×D4×C11C2311yescharacteristic
236C22×D4×C11C2318yes—
237C22×D4×C11C2311yescharacteristic
238C23×C4×C11C2311yescharacteristic
239C23×C4×C11C2311yescharacteristic
240C23×C4×C11C2311yescharacteristic
241C23×C4×C11C2311yescharacteristic
242C23×C4×C11C2311yescharacteristic
243C23×C4×C11C2311yescharacteristic
244C22×C22⋊D11—44no—
245C22×C22⋊D11—44no—
246C22×C22⋊D11—44no—
247C22×C22⋊D11C2311yescharacteristic
248C22×C22⋊D11C2311yescharacteristic
249C22×C22⋊D11C2311yescharacteristic
250C22×C22⋊D11C2311yescharacteristic
251C22×C22⋊D11C2311yescharacteristic
252C22×C22⋊D11C2311yescharacteristic
253C22×C22⋊D11C2311yescharacteristic
254C22×C22⋊D11C2311yescharacteristic
255C22×C22⋊D11C2311yescharacteristic
256C22×C22⋊D11C2311yescharacteristic
257C22×C22⋊D11C2311yescharacteristic
258C22×C22⋊D11C2311yescharacteristic
259C22×C22⋊D11C2311yescharacteristic
260C22×C22⋊D11C2311yescharacteristic
261C22×C22⋊D11C2311yescharacteristic
262C22×C22⋊D11C2311yescharacteristic
263C22×C22⋊D11C2311yescharacteristic
264C22×C22⋊D11C2311yescharacteristic
265C22×C22⋊D11C2311yescharacteristic
266C22×C22⋊D11C2311yescharacteristic
267C22×C22⋊D11C2318yes—
268C22×C22⋊D11C2311yescharacteristic
269C22×C22⋊D11C2311yescharacteristic
270C22×C22⋊D11C2311yescharacteristic
271C22×C22⋊D11C2311yescharacteristic
272C22×C22⋊D11C2318yescomplemented
273C22×C22⋊D11C2318yescomplemented
274C23×Dic11C2311yescharacteristic
275C23×Dic11C2311yescharacteristic
276C23×Dic11C2311yescharacteristic
277C23×Dic11C2311yescharacteristic
278C23×Dic11C2311yescharacteristic
279C23×Dic11C2311yescharacteristic
280C23×Dic11C2311yescharacteristic
281C2×#4341—44no—
282C2×#4341—44no—
283C2×#4341—44no—
284C2×#4341C2318yescomplemented
285C2×#4341C2318yescomplemented
286C2×#4341C2318yescomplemented
287C2×D4×D11—44no—
288C2×D4×D11C2318yes—
289C2×#4339—44no—
290C2×#4339C2318yescomplemented
291C22×D44—44no—
292C22×D44C2311yescharacteristic
293C22×D44C2311yescharacteristic
294C22×D44C2311yescharacteristic
295C22×D44C2311yescharacteristic
296C22×D44C2311yescharacteristic
297C22×D44C2311yescharacteristic
298C22×D44C2311yescharacteristic
299C22×D44C2318yescomplemented
300C22×C4×D11—44no—
301C22×C4×D11C2311yescharacteristic
302C22×C4×D11C2311yescharacteristic
303C22×C4×D11C2311yescharacteristic
304C22×C4×D11C2311yescharacteristic
305C22×C4×D11C2311yescharacteristic
306C22×C4×D11C2311yescharacteristic
307C22×C4×D11C2311yescharacteristic
308C22×C4×D11C2311yescharacteristic
309C22×C4×D11C2311yescharacteristic
310C22×C4×D11C2318yescomplemented
311C22×Dic22C2311yescharacteristic
312C22×Dic22C2311yescharacteristic
313C22×Dic22C2311yescharacteristic
314C11×#124C2318yescomplemented
315C11×#123C2318yes—
316C11×#123C2318yescomplemented
317C11×C22⋊Q8C2318yescomplemented
318C11×#121C2318yes—
319C11×#121C2318yescomplemented
320C11×#121C2318yescomplemented
321C11×#120C2318yescomplemented
322C11×#120C2318yescomplemented
323C4×D4×C11C2318yescomplemented
324C4×D4×C11C2318yescomplemented
325C2×C11×C4⋊C4C2311yescharacteristic
326C2×C11×C4⋊C4C2311yescharacteristic
327C2×C11×C4⋊C4C2311yescharacteristic
328C2×C11×C4⋊C4C2311yescharacteristic
329C2×C11×C22⋊C4C2311yescharacteristic
330C2×C11×C22⋊C4C2311yescharacteristic
331C2×C11×C22⋊C4C2311yescharacteristic
332C2×C11×C22⋊C4C2311yescharacteristic
333C2×C11×C22⋊C4C2311yescharacteristic
334C2×C11×C22⋊C4C2311yescharacteristic
335C2×C11×C22⋊C4C2311yescharacteristic
336C2×C11×C22⋊C4C2311yescharacteristic
337C2×C11×C22⋊C4C2311yescharacteristic
338C2×C11×C22⋊C4C2311yescharacteristic
339C2×C11×C22⋊C4C2311yescharacteristic
340C2×C11×C22⋊C4C2311yescharacteristic
341C2×C11×C22⋊C4C2318yescomplemented
342C2×C11×C22⋊C4C2318yescomplemented
343C2×C42×C11C2311yescharacteristic
344#67006C2318yes—
345#67006C2318yescomplemented
346#67006C2318yescomplemented
347#67006C2318yescomplemented
348C2×C22⋊Dic11C2311yescharacteristic
349C2×C22⋊Dic11C2311yescharacteristic
350C2×C22⋊Dic11C2311yescharacteristic
351C2×C22⋊Dic11C2311yescharacteristic
352C2×C22⋊Dic11C2311yescharacteristic
353C2×C22⋊Dic11C2311yescharacteristic
354C2×C22⋊Dic11C2311yescharacteristic
355C2×C22⋊Dic11C2311yescharacteristic
356C2×C22⋊Dic11C2311yescharacteristic
357C2×C22⋊Dic11C2311yescharacteristic
358C2×C22⋊Dic11C2311yescharacteristic
359C2×C22⋊Dic11C2311yescharacteristic
360C2×C22⋊Dic11C2311yescharacteristic
361C2×C22⋊Dic11C2311yescharacteristic
362C2×C22⋊Dic11C2318yescomplemented
363#67000C2318yescomplemented
364#67000C2318yescomplemented
365#66999C2318yescomplemented
366#66997C2318yescomplemented
367#66993C2318yescomplemented
368#66993C2318yescomplemented
369#66993C2318yescomplemented
370#66993C2318yescomplemented
371#66993C2318yescomplemented
372#66992C2318yes—
373#66992C2318yescomplemented
374#66992C2318yescomplemented
375#66992C2318yescomplemented
376#66992C2318yescomplemented
377#66992C2318yescomplemented
378#66992C2318yescomplemented
379#66992C2318yescomplemented
380#66992C2318yescomplemented
381#66992C2318yescomplemented
382#66992C2318yescomplemented
383#66992C2318yescomplemented
384#66991C2318yescomplemented
385#66991C2318yescomplemented
386#66991C2318yescomplemented
387#66990C2318yes—
388#66990C2318yes—
389#66990C2318yescomplemented
390#66990C2318yescomplemented
391#66990C2318yescomplemented
392#66990C2318yescomplemented
393#66990C2318yescomplemented
394#66988C2318yes—
395#66988C2318yescomplemented
396#66988C2318yescomplemented
397D4×Dic11C2318yes—
398D4×Dic11C2318yescomplemented
399#66983C2318yescomplemented
400#66983C2318yescomplemented
401#66983C2318yescomplemented
402#66983C2318yescomplemented
403#66983C2318yescomplemented
404#66982C2318yescomplemented
405#66982C2318yescomplemented
406#66982C2318yescomplemented
407#66982C2318yescomplemented
408#66982C2318yescomplemented
409C4×C22⋊D11C2318yescomplemented
410C4×C22⋊D11C2318yescomplemented
411C4×C22⋊D11C2318yescomplemented
412C4×C22⋊D11C2318yescomplemented
413C4×C22⋊D11C2318yescomplemented
414C2×(C2×D11)⋊C4C2311yescharacteristic
415C2×(C2×D11)⋊C4C2311yescharacteristic
416C2×(C2×D11)⋊C4C2311yescharacteristic
417C2×(C2×D11)⋊C4C2311yescharacteristic
418C2×(C2×D11)⋊C4C2311yescharacteristic
419C2×(C2×D11)⋊C4C2311yescharacteristic
420C2×(C2×D11)⋊C4C2311yescharacteristic
421C2×(C2×D11)⋊C4C2311yescharacteristic
422C2×(C2×D11)⋊C4C2311yescharacteristic
423C2×(C2×D11)⋊C4C2311yescharacteristic
424C2×(C2×D11)⋊C4C2311yescharacteristic
425C2×(C2×D11)⋊C4C2311yescharacteristic
426C2×(C2×D11)⋊C4C2311yescharacteristic
427C2×(C2×D11)⋊C4C2311yescharacteristic
428C2×(C2×D11)⋊C4C2311yescharacteristic
429C2×(C2×D11)⋊C4C2311yescharacteristic
430C2×(C2×D11)⋊C4C2311yescharacteristic
431C2×(C2×D11)⋊C4C2311yescharacteristic
432C2×(C2×D11)⋊C4C2311yescharacteristic
433C2×(C2×D11)⋊C4C2311yescharacteristic
434C2×(C2×D11)⋊C4C2311yescharacteristic
435C2×(C2×D11)⋊C4C2311yescharacteristic
436C2×(C2×D11)⋊C4C2318yescomplemented
437#66979C2318yescomplemented
438C2×C4⋊Dic11C2311yescharacteristic
439C2×C4⋊Dic11C2311yescharacteristic
440C2×C4⋊Dic11C2311yescharacteristic
441C2×C4⋊Dic11C2311yescharacteristic
442C2×C4⋊Dic11C2311yescharacteristic
443C2×C4⋊Dic11C2311yescharacteristic
444#66977C2318yescomplemented
445#66977C2318yescomplemented
446C2×Dic11⋊C4C2311yescharacteristic
447C2×Dic11⋊C4C2311yescharacteristic
448C2×Dic11⋊C4C2311yescharacteristic
449C2×Dic11⋊C4C2311yescharacteristic
450C2×Dic11⋊C4C2311yescharacteristic
451C2×Dic11⋊C4C2311yescharacteristic
452C2×Dic11⋊C4C2311yescharacteristic
453C2×Dic11⋊C4C2311yescharacteristic
454C2×Dic11⋊C4C2311yescharacteristic
455C2×Dic11⋊C4C2311yescharacteristic
456C2×Dic11⋊C4C2311yescharacteristic
457C2×Dic11⋊C4C2311yescharacteristic
458C2×Dic11⋊C4C2311yescharacteristic
459C2×Dic11⋊C4C2311yescharacteristic
460C2×Dic11⋊C4C2311yescharacteristic
461C2×Dic11⋊C4C2311yescharacteristic
462C2×Dic11⋊C4C2311yescharacteristic
463C2×Dic11⋊C4C2311yescharacteristic
464C2×Dic11⋊C4C2318yescomplemented
465C2×Dic11⋊C4C2318yescomplemented
466C2×C4×Dic11C2311yescharacteristic
467C2×C4×Dic11C2311yescharacteristic
468C2×C4×Dic11C2311yescharacteristic
469C2×C4×Dic11C2311yescharacteristic
470C2×C4×Dic11C2311yescharacteristic
471C2×C4×Dic11C2311yescharacteristic
472C2×C4×Dic11C2311yescharacteristic
473#66951C2318yescomplemented
474#66950C2318yescomplemented
475#66949C2318yescomplemented
476#66949C2318yescomplemented
477#66949C2318yescomplemented
478#66948C2318yescomplemented
479#66948C2318yescomplemented
480#66947C2318yescomplemented
481#66947C2318yescomplemented
482#66947C2318yescomplemented
483#66947C2318yescomplemented
484#66945C2318yescomplemented
485#66943C2318yescomplemented
486#66942C2318yescomplemented
487#66942C2318yescomplemented
488#66940C2318yescomplemented
489#66939C2318yescomplemented
490#66939C2318yescomplemented
491#66938C2318yescomplemented
492#66938C2318yescomplemented
493#66938C2318yescomplemented
494#66938C2318yescomplemented
495#66938C2318yescomplemented
496#66938C2318yescomplemented
497#66937C2318yes—
498#66937C2318yes—
499#66937C2318yescomplemented
500#66937C2318yescomplemented
501#66937C2318yescomplemented
502#66937C2318yescomplemented
503#66937C2318yescomplemented
504#66937C2318yescomplemented
505#66937C2318yescomplemented
506#66937C2318yescomplemented
507#66937C2318yescomplemented
508#66937C2318yescomplemented
509#66937C2318yescomplemented
510#66937C2318yescomplemented
511#66936C2318yescomplemented
512#66936C2318yescomplemented
513#66936C2318yescomplemented
514#66936C2318yescomplemented
515#66936C2318yescomplemented
516#66936C2318yescomplemented
517#66935C2318yescomplemented
518#66935C2318yescomplemented
519#66935C2318yescomplemented
520(C22⋊D11)⋊C4C2318yescomplemented
521(C22⋊D11)⋊C4C2318yescomplemented
522(C22⋊D11)⋊C4C2318yescomplemented
523(C22⋊D11)⋊C4C2318yescomplemented
524(C22⋊D11)⋊C4C2318yescomplemented
525C22⋊C4×D11C2318yescomplemented
526C22⋊C4×D11C2318yescomplemented
527#66932C2318yescomplemented
528#66932C2318yescomplemented
529#66932C2318yescomplemented
530#66932C2318yescomplemented
531#66931C2318yescomplemented
532#66931C2318yescomplemented
533#66931C2318yescomplemented
534#66930C2318yescomplemented
535#66930C2318yescomplemented
536#66930C2318yescomplemented
537#66929C2318yescomplemented
538C4×D44C2318yescomplemented
539#66925C2318yescomplemented
540#66925C2318yescomplemented
541C2×#3542—111nomaximal, Sylow
542C24×C11—24no—
543C24×C11—42no—
544C24×C11—42no—
545C24×C11—42no—
546C24×C11—42no—
547C24×C11—42no—
548C24×C11C2411yescharacteristic
549C24×C11C2411yescharacteristic
550C24×C11C2411yescharacteristic
551C24×C11C2411yescharacteristic
552C24×C11C2411yescharacteristic
553C24×C11C2411yescharacteristic
554C24×C11C2414yes—
555C24×C11C2414yes—
556C23×D11—24no—
557C23×D11—24no—
558C23×D11—42no—
559C23×D11—42no—
560C23×D11—42no—
561C23×D11—42no—
562C23×D11—42no—
563C23×D11—42no—
564C23×D11—42no—
565C23×D11C2411yescharacteristic
566C23×D11C2411yescharacteristic
567C23×D11C2411yescharacteristic
568C23×D11C2411yescharacteristic
569C23×D11C2411yescharacteristic
570C23×D11C2414yes—
571C23×D11C2414yes—
572C23×D11C2414yes—
573C11×#41—416no—
574C2×Q8×C11—42no—
575C2×Q8×C11C2414yes—
576C2×D4×C11—24no—
577C2×D4×C11—24no—
578C2×D4×C11—24no—
579C2×D4×C11—42no—
580C2×D4×C11—42no—
581C2×D4×C11—42no—
582C2×D4×C11—42no—
583C2×D4×C11—42no—
584C2×D4×C11—42no—
585C2×D4×C11—416no—
586C2×D4×C11C2414yes—
587C2×D4×C11C2414yes—
588C2×D4×C11C2414yes—
589C2×D4×C11C2414yes—
590C2×D4×C11C2414yes—
591C2×D4×C11C2414yes—
592C2×D4×C11C2414yes—
593C2×D4×C11C2414yes—
594C2×D4×C11C2414yes—
595C22×C4×C11—24no—
596C22×C4×C11—42no—
597C22×C4×C11—42no—
598C22×C4×C11—42no—
599C22×C4×C11—42no—
600C22×C4×C11—42no—
601C22×C4×C11C2411yescharacteristic
602C22×C4×C11C2411yescharacteristic
603C22×C4×C11C2411yescharacteristic
604C22×C4×C11C2411yescharacteristic
605C22×C4×C11C2411yescharacteristic
606C22×C4×C11C2411yescharacteristic
607C22×C4×C11C2411yescharacteristic
608C22×C4×C11C2411yescharacteristic
609C22×C4×C11C2411yescharacteristic
610C22×C4×C11C2414yes—
611C22×C4×C11C2414yes—
612C22×C4×C11C2414yes—
613C22×C4×C11C2414yes—
614C22×C4×C11C2414yes—
615C22×C4×C11C2414yes—
616C2×C22⋊D11—24no—
617C2×C22⋊D11—24no—
618C2×C22⋊D11—24no—
619C2×C22⋊D11—24no—
620C2×C22⋊D11—42no—
621C2×C22⋊D11—42no—
622C2×C22⋊D11—42no—
623C2×C22⋊D11—42no—
624C2×C22⋊D11—42no—
625C2×C22⋊D11—42no—
626C2×C22⋊D11—42no—
627C2×C22⋊D11—42no—
628C2×C22⋊D11—42no—
629C2×C22⋊D11—42no—
630C2×C22⋊D11—42no—
631C2×C22⋊D11—42no—
632C2×C22⋊D11—42no—
633C2×C22⋊D11—42no—
634C2×C22⋊D11—416no—
635C2×C22⋊D11—42no—
636C2×C22⋊D11—42no—
637C2×C22⋊D11—42no—
638C2×C22⋊D11—42no—
639C2×C22⋊D11—42no—
640C2×C22⋊D11—42no—
641C2×C22⋊D11—416no—
642C2×C22⋊D11—416no—
643C2×C22⋊D11C2414yes—
644C2×C22⋊D11C2414yes—
645C2×C22⋊D11C2414yes—
646C2×C22⋊D11C2414yes—
647C2×C22⋊D11C2414yes—
648C2×C22⋊D11C2414yes—
649C2×C22⋊D11C2414yes—
650C2×C22⋊D11C2414yes—
651C2×C22⋊D11C2414yes—
652C2×C22⋊D11C2414yes—
653C2×C22⋊D11C2414yes—
654C2×C22⋊D11C2414yes—
655C2×C22⋊D11C2414yes—
656C2×C22⋊D11C2414yes—
657C2×C22⋊D11C2414yes—
658C2×C22⋊D11C2414yes—
659C2×C22⋊D11C2414yes—
660C2×C22⋊D11C2414yes—
661C2×C22⋊D11C2414yes—
662C2×C22⋊D11C2414yes—
663C2×C22⋊D11C2414yes—
664C2×C22⋊D11C2414yes—
665C2×C22⋊D11C2414yes—
666C2×C22⋊D11C2414yes—
667C22×Dic11—24no—
668C22×Dic11—24no—
669C22×Dic11—24no—
670C22×Dic11—24no—
671C22×Dic11—42no—
672C22×Dic11—42no—
673C22×Dic11—42no—
674C22×Dic11C2414yes—
675C22×Dic11C2414yes—
676C22×Dic11C2414yes—
677C22×Dic11C2414yes—
678C22×Dic11C2411yescharacteristic
679C22×Dic11C2411yescharacteristic
680C22×Dic11C2411yescharacteristic
681C22×Dic11C2411yescharacteristic
682C22×Dic11C2411yescharacteristic
683C22×Dic11C2411yescharacteristic
684C22×Dic11C2411yescharacteristic
685C22×Dic11C2411yescharacteristic
686C22×Dic11C2411yescharacteristic
687C22×Dic11C2411yescharacteristic
688C22×Dic11C2414yes—
689C22×Dic11C2414yes—
690C22×Dic11C2414yes—
691C22×Dic11C2411yescharacteristic
692#4341—416no—
693#4341—416no—
694#4341—416no—
695D4×D11—416no—
696#4339—416no—
697C2×D44—42no—
698C2×D44—42no—
699C2×D44—42no—
700C2×D44—42no—
701C2×D44—416no—
702C2×D44—42no—
703C2×D44—42no—
704C2×D44—42no—
705C2×D44C2414yes—
706C2×D44C2414yes—
707C2×D44C2414yes—
708C2×D44C2414yes—
709C2×D44C2414yes—
710C2×D44C2414yes—
711C2×D44C2414yes—
712C2×C4×D11—24no—
713C2×C4×D11—24no—
714C2×C4×D11—42no—
715C2×C4×D11—42no—
716C2×C4×D11—42no—
717C2×C4×D11—42no—
718C2×C4×D11—42no—
719C2×C4×D11—42no—
720C2×C4×D11—42no—
721C2×C4×D11—416no—
722C2×C4×D11C2414yes—
723C2×C4×D11C2414yes—
724C2×C4×D11C2414yes—
725C2×C4×D11C2414yes—
726C2×C4×D11C2414yes—
727C2×C4×D11C2414yes—
728C2×C4×D11C2414yes—
729C2×C4×D11C2414yes—
730C2×C4×D11C2414yes—
731C2×Dic22—24no—
732C2×Dic22—42no—
733C2×Dic22—42no—
734C2×Dic22C2414yes—
735C2×Dic22C2414yes—
736C2×Dic22C2414yes—
737C11×C4⋊C4C2414yes—
738C11×C4⋊C4C2414yes—
739C11×C4⋊C4C2414yes—
740C11×C4⋊C4C2414yes—
741C11×C22⋊C4C2414yes—
742C11×C22⋊C4C2414yes—
743C11×C22⋊C4C2414yes—
744C11×C22⋊C4C2414yes—
745C11×C22⋊C4C2414yes—
746C11×C22⋊C4C2414yes—
747C11×C22⋊C4C2414yes—
748C11×C22⋊C4C2414yes—
749C11×C22⋊C4C2414yes—
750C11×C22⋊C4C2414yes—
751C11×C22⋊C4C2414yes—
752C11×C22⋊C4C2414yes—
753C42×C11C2414yes—
754C22⋊Dic11C2414yes—
755C22⋊Dic11C2414yes—
756C22⋊Dic11C2414yes—
757C22⋊Dic11C2414yes—
758C22⋊Dic11C2414yes—
759C22⋊Dic11C2414yes—
760C22⋊Dic11C2414yes—
761C22⋊Dic11C2414yes—
762C22⋊Dic11C2414yes—
763C22⋊Dic11C2414yes—
764C22⋊Dic11C2414yes—
765C22⋊Dic11C2414yes—
766C22⋊Dic11C2414yes—
767C22⋊Dic11C2414yes—
768(C2×D11)⋊C4C2414yes—
769(C2×D11)⋊C4C2414yes—
770(C2×D11)⋊C4C2414yes—
771(C2×D11)⋊C4C2414yes—
772(C2×D11)⋊C4C2414yes—
773(C2×D11)⋊C4C2414yes—
774(C2×D11)⋊C4C2414yes—
775(C2×D11)⋊C4C2414yes—
776(C2×D11)⋊C4C2414yes—
777(C2×D11)⋊C4C2414yes—
778(C2×D11)⋊C4C2414yes—
779(C2×D11)⋊C4C2414yes—
780(C2×D11)⋊C4C2414yes—
781(C2×D11)⋊C4C2414yes—
782(C2×D11)⋊C4C2414yes—
783(C2×D11)⋊C4C2414yes—
784(C2×D11)⋊C4C2414yes—
785(C2×D11)⋊C4C2414yes—
786(C2×D11)⋊C4C2414yes—
787(C2×D11)⋊C4C2414yes—
788(C2×D11)⋊C4C2414yes—
789(C2×D11)⋊C4C2414yes—
790C4⋊Dic11C2414yes—
791C4⋊Dic11C2414yes—
792C4⋊Dic11C2414yes—
793C4⋊Dic11C2414yes—
794C4⋊Dic11C2414yes—
795C4⋊Dic11C2414yes—
796Dic11⋊C4C2414yes—
797Dic11⋊C4C2414yes—
798Dic11⋊C4C2414yes—
799Dic11⋊C4C2414yes—
800Dic11⋊C4C2414yes—
801Dic11⋊C4C2414yes—
802Dic11⋊C4C2414yes—
803Dic11⋊C4C2414yes—
804Dic11⋊C4C2414yes—
805Dic11⋊C4C2414yes—
806Dic11⋊C4C2414yes—
807Dic11⋊C4C2414yes—
808Dic11⋊C4C2414yes—
809Dic11⋊C4C2414yes—
810Dic11⋊C4C2414yes—
811Dic11⋊C4C2414yes—
812Dic11⋊C4C2414yes—
813Dic11⋊C4C2414yes—
814C4×Dic11C2414yes—
815C4×Dic11C2414yes—
816C4×Dic11C2414yes—
817C4×Dic11C2414yes—
818C4×Dic11C2414yes—
819C4×Dic11C2414yes—
820C4×Dic11C2414yes—
821#3542—1132no—
822C2×#562—111no—
823C2×#562—111no—
824C2×#560—111no—
825C2×#560—111no—
826C2×#555—111no—
827C2×#553—111no—
828C2×#552—111no—
829C2×#551—111no—
830C2×#551—111no—
831C2×#550—111no—
832C2×#547—111no—
833C2×#546—111no—
834C2×#546—111no—
835C2×#546—111no—
836C2×#546D1111yescharacteristic, complemented
837C2×D42—111no—
838C2×#542—111no—
839C2×#540—111no—
840C2×#540—111no—
841C2×#540—111no—
842C2×#538—111no—
843C2×#538—111no—
844C2×#537—111no—
845C2×#535—111no—
846C2×#535—111no—
847C2×#535—111no—
848C2×#534—111no—
849C2×#534—111no—
850C2×#525—111no—
851C2×#525—111no—
852C22×#121—111no—
853C23×C11—22no—
854C23×C11—22no—
855C23×C11—22no—
856C23×C11—22no—
857C23×C11—22no—
858C23×C11—22no—
859C23×C11—22no—
860C23×C11—22no—
861C23×C11—22no—
862C23×C11—22no—
863C23×C11—22no—
864C23×C11—22no—
865C23×C11—22no—
866C23×C11—22no—
867C23×C11—22no—
868C23×C11—22no—
869C23×C11—22no—
870C23×C11—28no—
871C23×C11—44no—
872C23×C11—44no—
873C23×C11—44no—
874C23×C11—44no—
875C23×C11—44no—
876C23×C11—88no—
877C23×C11—88no—
878C23×C11H(5,𝔽2)14yes—
879C23×C11C2512yes—
880C23×C11C2512yes—
881C23×C11C2512yes—
882C23×C11C2512yes—
883C23×C11C2512yes—
884C23×C11C2512yes—
885C23×C11C2511yescharacteristic
886C22×D11—22no—
887C22×D11—22no—
888C22×D11—22no—
889C22×D11—22no—
890C22×D11—22no—
891C22×D11—22no—
892C22×D11—22no—
893C22×D11—28no—
894C22×D11—22no—
895C22×D11—22no—
896C22×D11—22no—
897C22×D11—22no—
898C22×D11—22no—
899C22×D11—22no—
900C22×D11—22no—
901C22×D11—22no—
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—416no—
911C22×D11—88no—
912C22×D11—88no—
913C22×D11C2512yes—
914C22×D11C2512yes—
915C22×D11C2512yes—
916C22×D11C2512yes—
917C22×D11C2512yes—
918Q8×C11—44no—
919D4×C11—28no—
920D4×C11—28no—
921D4×C11—28no—
922D4×C11—44no—
923D4×C11—44no—
924D4×C11—44no—
925D4×C11—44no—
926D4×C11—44no—
927D4×C11—44no—
928C2×C4×C11—22no—
929C2×C4×C11—22no—
930C2×C4×C11—22no—
931C2×C4×C11—22no—
932C2×C4×C11—22no—
933C2×C4×C11—22no—
934C2×C4×C11—22no—
935C2×C4×C11—28no—
936C2×C4×C11—22no—
937C2×C4×C11—22no—
938C2×C4×C11—44no—
939C2×C4×C11—44no—
940C2×C4×C11—44no—
941C2×C4×C11—44no—
942C2×C4×C11—44no—
943C2×C4×C11C2512yes—
944C2×C4×C11C2512yes—
945C2×C4×C11C2512yes—
946C2×C4×C11C2512yes—
947C2×C4×C11C2512yes—
948C2×C4×C11C2512yes—
949C2×C4×C11C2512yes—
950C2×C4×C11C2512yes—
951C2×C4×C11C2512yes—
952C22⋊D11—28no—
953C22⋊D11—28no—
954C22⋊D11—28no—
955C22⋊D11—28no—
956C22⋊D11—44no—
957C22⋊D11—44no—
958C22⋊D11—44no—
959C22⋊D11—44no—
960C22⋊D11—44no—
961C22⋊D11—44no—
962C22⋊D11—44no—
963C22⋊D11—44no—
964C22⋊D11—44no—
965C22⋊D11—44no—
966C22⋊D11—44no—
967C22⋊D11—44no—
968C22⋊D11—44no—
969C22⋊D11—44no—
970C22⋊D11—44no—
971C22⋊D11—44no—
972C22⋊D11—44no—
973C22⋊D11—44no—
974C22⋊D11—44no—
975C22⋊D11—44no—
976C2×Dic11—22no—
977C2×Dic11—22no—
978C2×Dic11—22no—
979C2×Dic11—22no—
980C2×Dic11—22no—
981C2×Dic11—22no—
982C2×Dic11—22no—
983C2×Dic11—28no—
984C2×Dic11—22no—
985C2×Dic11—22no—
986C2×Dic11—22no—
987C2×Dic11—28no—
988C2×Dic11—28no—
989C2×Dic11—28no—
990C2×Dic11—44no—
991C2×Dic11—44no—
992C2×Dic11—44no—
993C2×Dic11H(5,𝔽2)14yes—
994C2×Dic11C2512yes—
995C2×Dic11C2512yes—
996C2×Dic11C2512yes—
997C2×Dic11C2512yes—
998C2×Dic11C2512yes—
999C2×Dic11C2512yes—
1000C2×Dic11C2512yes—
1001C2×Dic11C2512yes—
1002C2×Dic11C2512yes—
1003C2×Dic11C2512yes—
1004C2×Dic11C2512yes—
1005D44—44no—
1006D44—44no—
1007D44—44no—
1008D44—44no—
1009D44—44no—
1010D44—44no—
1011D44—44no—
1012C4×D11—28no—
1013C4×D11—28no—
1014C4×D11—44no—
1015C4×D11—44no—
1016C4×D11—44no—
1017C4×D11—44no—
1018C4×D11—44no—
1019C4×D11—44no—
1020C4×D11—44no—
1021Dic22—28no—
1022Dic22—44no—
1023Dic22—44no—
1024C22×#41—111no—
1025C22×#41—111no—
1026C22×#41—111no—
1027C22×#41—111no—
1028C22×#41C2×D1111yescharacteristic, complemented
1029C23×D4—111no—
1030C23×D4—111no—
1031C23×D4—111no—
1032C23×D4—111no—
1033C23×D4—111no—
1034C23×D4C2×D1111yescharacteristic
1035C24×C4—111no—
1036#562—1116no—
1037#562—1116no—
1038#560—1116no—
1039#560—1116no—
1040#555—1116no—
1041#553—1116no—
1042#552—1116no—
1043#551—1116no—
1044#551—1116no—
1045#550—1116no—
1046#547—1116no—
1047#546—1116no—
1048#546—1116no—
1049#546—1116no—
1050#546C2×D11116yescomplemented
1051D42—1116no—
1052#542—1116no—
1053#540—1116no—
1054#540—1116no—
1055#540—1116no—
1056#538—1116no—
1057#538—1116no—
1058#537—1116no—
1059#535—1116no—
1060#535—1116no—
1061#535—1116no—
1062#534—1116no—
1063#534—1116no—
1064C2×C4⋊Q8—111no—
1065C2×#127—111no—
1066C2×#127—111no—
1067C2×#127—111no—
1068C2×#127—111no—
1069C2×#127—111no—
1070C2×#126—111no—
1071C2×#126—111no—
1072C2×#126—111no—
1073C2×#126—111no—
1074C2×#126—111no—
1075C2×#126—111no—
1076C2×#125—111no—
1077C2×#125—111no—
1078C2×#125—111no—
1079C2×#124—111no—
1080C2×#124—111no—
1081C2×#124—111no—
1082C2×#124—111no—
1083C2×#124—111no—
1084C2×#124—111no—
1085C2×#124—111no—
1086C2×#124—111no—
1087C2×#124C2×D1111yescharacteristic, complemented
1088#525—1116no—
1089#525—1116no—
1090C2×#123—111no—
1091C2×#123—111no—
1092C2×#123—111no—
1093C2×#123—111no—
1094C2×#123—111no—
1095C2×#123—111no—
1096C2×#123—111no—
1097C2×#123—111no—
1098C2×#123—111no—
1099C2×#123—111no—
1100C2×#123—111no—
1101C2×#123—111no—
1102C2×#123—111no—
1103C2×#123—111no—
1104C2×#123—111no—
1105C2×#123—111no—
1106C2×#123—111no—
1107C2×#123—111no—
1108C2×#123—111no—
1109C2×#123—111no—
1110C2×#123C2×D1111yescharacteristic
1111C2×#123C2×D1111yescharacteristic, complemented
1112C2×C22⋊Q8—111no—
1113C2×C22⋊Q8—111no—
1114C2×C22⋊Q8—111no—
1115C2×C22⋊Q8—111no—
1116C2×C22⋊Q8—111no—
1117C2×C22⋊Q8—111no—
1118C2×C22⋊Q8—111no—
1119C2×C22⋊Q8—111no—
1120C2×C22⋊Q8—111no—
1121C2×C22⋊Q8—111no—
1122C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1123C2×#121—111no—
1124C2×#121—111no—
1125C2×#121—111no—
1126C2×#121—111no—
1127C2×#121—111no—
1128C2×#121—111no—
1129C2×#121—111no—
1130C2×#121—111no—
1131C2×#121—111no—
1132C2×#121—111no—
1133C2×#121—111no—
1134C2×#121—111no—
1135C2×#121—111no—
1136C2×#121—111no—
1137C2×#121—111no—
1138C2×#121—111no—
1139C2×#121—111no—
1140C2×#121—111no—
1141C2×#121—111no—
1142C2×#121—111no—
1143C2×#121—111no—
1144C2×#121—111no—
1145C2×#121—111no—
1146C2×#121—111no—
1147C2×#121—111no—
1148C2×#121—111no—
1149C2×#121—111no—
1150C2×#121—111no—
1151C2×#121—111no—
1152C2×#121—111no—
1153C2×#121—111no—
1154C2×#121—111no—
1155C2×#121—111no—
1156C2×#121—111no—
1157C2×#121—111no—
1158C2×#121—111no—
1159C2×#121—1116no—
1160C2×#121C2×D1111yescharacteristic
1161C2×#121C2×D1111yescharacteristic, complemented
1162C2×#121C2×D1111yescharacteristic, complemented
1163C2×#120—111no—
1164C2×#120—111no—
1165C2×#120—111no—
1166C2×#120—111no—
1167C2×#120—111no—
1168C2×#120—111no—
1169C2×#120—111no—
1170C2×#120—111no—
1171C2×#120—111no—
1172C2×#120—111no—
1173C2×#120—111no—
1174C2×#120—111no—
1175C2×#120—111no—
1176C2×#120—111no—
1177C2×#120C2×D1111yescharacteristic, complemented
1178C2×#120C2×D1111yescharacteristic, complemented
1179C2×C4×Q8—111no—
1180C2×C4×D4—111no—
1181C2×C4×D4—111no—
1182C2×C4×D4—111no—
1183C2×C4×D4—111no—
1184C2×C4×D4—111no—
1185C2×C4×D4—111no—
1186C2×C4×D4—111no—
1187C2×C4×D4—111no—
1188C2×C4×D4—111no—
1189C2×C4×D4—111no—
1190C2×C4×D4—111no—
1191C2×C4×D4—111no—
1192C2×C4×D4—111no—
1193C2×C4×D4C2×D1111yescharacteristic, complemented
1194C2×C4×D4C2×D1111yescharacteristic, complemented
1195C2×#117—111no—
1196C2×#117—111no—
1197C2×#117—111no—
1198C2×#117—111no—
1199C2×#117—111no—
1200C2×#117—111no—
1201C2×#117—111no—
1202C22×C4⋊C4—111no—
1203C22×C4⋊C4—111no—
1204C22×C22⋊C4—111no—
1205C22×C22⋊C4—111no—
1206C22×C22⋊C4—111no—
1207C22×C22⋊C4—111no—
1208C22×C22⋊C4C2×D1111yescharacteristic, complemented
1209C22×C22⋊C4C2×D1111yescharacteristic, complemented
1210C22×C11—22no—
1211C22×C11—22no—
1212C22×C11—28no—
1213C22×C11—22no—
1214C22×C11—22no—
1215C22×C11—22no—
1216C22×C11—22no—
1217C22×C11—22no—
1218C22×C11—22no—
1219C22×C11—22no—
1220C22×C11—22no—
1221C22×C11—22no—
1222C22×C11—22no—
1223C22×C11—22no—
1224C22×C11—22no—
1225C22×C11—22no—
1226C22×C11—22no—
1227C22×C11—22no—
1228C22×C11—44no—
1229C22×C11—44no—
1230C22×C11—44no—
1231C22×C11—44no—
1232C22×C11—44no—
1233C22×C11—88no—
1234C22×C11—88no—
1235C22×C11C2×H(5,𝔽2)14yes—
1236C22×C11C2×H(5,𝔽2)12yes—
1237C22×C11C2×H(5,𝔽2)12yes—
1238C22×C11#58512yes—
1239C22×C11C2611yescharacteristic
1240C2×D11—22no—
1241C2×D11—22no—
1242C2×D11—22no—
1243C2×D11—22no—
1244C2×D11—22no—
1245C2×D11—22no—
1246C2×D11—22no—
1247C2×D11—22no—
1248C2×D11—22no—
1249C2×D11—22no—
1250C2×D11—22no—
1251C2×D11—22no—
1252C2×D11—22no—
1253C2×D11—22no—
1254C2×D11—22no—
1255C2×D11—416no—
1256C2×D11—44no—
1257C2×D11—44no—
1258C2×D11—44no—
1259C2×D11—44no—
1260C2×D11—44no—
1261C2×D11—88no—
1262C2×D11—88no—
1263C4×C11—22no—
1264C4×C11—22no—
1265C4×C11—22no—
1266C4×C11—22no—
1267C4×C11—22no—
1268C4×C11—22no—
1269C4×C11—22no—
1270C4×C11—22no—
1271C4×C11—22no—
1272Dic11—22no—
1273Dic11—22no—
1274Dic11—22no—
1275Dic11—22no—
1276Dic11—22no—
1277Dic11—22no—
1278Dic11—22no—
1279Dic11—22no—
1280Dic11—22no—
1281Dic11—22no—
1282Dic11C2×H(5,𝔽2)14yes—
1283C25—111no—
1284C25—111no—
1285C25—111no—
1286C25C22×D1111yescharacteristic
1287C25C22×D1111yescharacteristic
1288C2×#41—44no—
1289C2×#41—118no—
1290C2×#41—118no—
1291C2×#41—118no—
1292C2×#41—118no—
1293C2×#41—444no—
1294C2×#41—444no—
1295C2×#41—444no—
1296C2×#41—444no—
1297C2×#41C22×D1118yescomplemented
1298C22×Q8—111no—
1299C22×Q8—111no—
1300C22×Q8—111no—
1301C22×Q8C22×D1111yescharacteristic
1302C22×D4—44no—
1303C22×D4—111no—
1304C22×D4—111no—
1305C22×D4—111no—
1306C22×D4—111no—
1307C22×D4—111no—
1308C22×D4—111no—
1309C22×D4—111no—
1310C22×D4—111no—
1311C22×D4—111no—
1312C22×D4—111no—
1313C22×D4—111no—
1314C22×D4—111no—
1315C22×D4—111no—
1316C22×D4—111no—
1317C22×D4—111no—
1318C22×D4—111no—
1319C22×D4—111no—
1320C22×D4—111no—
1321C22×D4—111no—
1322C22×D4—111no—
1323C22×D4—111no—
1324C22×D4—111no—
1325C22×D4—111no—
1326C22×D4—111no—
1327C22×D4—118no—
1328C22×D4—118no—
1329C22×D4—118no—
1330C22×D4—118no—
1331C22×D4—111no—
1332C22×D4—111no—
1333C22×D4—111no—
1334C22×D4—111no—
1335C22×D4—111no—
1336C22×D4—111no—
1337C22×D4—111no—
1338C22×D4—118no—
1339C22×D4—444no—
1340C22×D4—444no—
1341C22×D4—444no—
1342C22×D4—444no—
1343C22×D4—444no—
1344C22×D4C22×D1111yescharacteristic
1345C22×D4C22×D1111yescharacteristic
1346C22×D4C22×D1111yescharacteristic
1347C22×D4C22×D1111yescharacteristic
1348C22×D4C22×D1111yescharacteristic
1349C22×D4C22×D1111yescharacteristic
1350C22×D4C22×D1111yescharacteristic
1351C22×D4C22×D1111yescharacteristic
1352C22×D4C22×D1111yescharacteristic
1353C22×D4C22×D1118yes—
1354C23×C4—111no—
1355C23×C4—111no—
1356C23×C4—111no—
1357C23×C4—111no—
1358C23×C4—111no—
1359C23×C4—111no—
1360C23×C4—111no—
1361C23×C4—111no—
1362C23×C4—111no—
1363C23×C4—111no—
1364C23×C4—111no—
1365C23×C4—111no—
1366C23×C4—111no—
1367C23×C4—111no—
1368C23×C4—111no—
1369C23×C4—111no—
1370C23×C4—118no—
1371C23×C4—444no—
1372C23×C4C22×D1111yescharacteristic
1373C23×C4C22×D1111yescharacteristic
1374C23×C4C22×D1111yescharacteristic
1375C23×C4C22×D1111yescharacteristic
1376C23×C4C22×D1111yescharacteristic
1377C23×C4C22×D1111yescharacteristic
1378C4⋊Q8—118no—
1379#127—118no—
1380#127—118no—
1381#127—118no—
1382#127—118no—
1383#127—118no—
1384#126—118no—
1385#126—118no—
1386#126—118no—
1387#126—118no—
1388#126—118no—
1389#126—118no—
1390#125—118no—
1391#125—118no—
1392#125—118no—
1393#124—118no—
1394#124—118no—
1395#124—118no—
1396#124—118no—
1397#124—118no—
1398#124—118no—
1399#124—118no—
1400#124—118no—
1401#124C22×D1118yescomplemented
1402#123—118no—
1403#123—118no—
1404#123—118no—
1405#123—118no—
1406#123—118no—
1407#123—118no—
1408#123—118no—
1409#123—118no—
1410#123—118no—
1411#123—118no—
1412#123—118no—
1413#123—118no—
1414#123—118no—
1415#123—118no—
1416#123—118no—
1417#123—118no—
1418#123—118no—
1419#123—118no—
1420#123—118no—
1421#123—118no—
1422#123C22×D1118yes—
1423#123C22×D1118yescomplemented
1424C22⋊Q8—118no—
1425C22⋊Q8—118no—
1426C22⋊Q8—118no—
1427C22⋊Q8—118no—
1428C22⋊Q8—118no—
1429C22⋊Q8—118no—
1430C22⋊Q8—118no—
1431C22⋊Q8—118no—
1432C22⋊Q8—118no—
1433C22⋊Q8—118no—
1434C22⋊Q8C22×D1118yescomplemented
1435#121—118no—
1436#121—118no—
1437#121—118no—
1438#121—118no—
1439#121—118no—
1440#121—118no—
1441#121—118no—
1442#121—118no—
1443#121—118no—
1444#121—118no—
1445#121—118no—
1446#121—118no—
1447#121—118no—
1448#121—118no—
1449#121—118no—
1450#121—118no—
1451#121—118no—
1452#121—118no—
1453#121—118no—
1454#121—118no—
1455#121—118no—
1456#121—118no—
1457#121—118no—
1458#121—118no—
1459#121—118no—
1460#121—118no—
1461#121—118no—
1462#121—118no—
1463#121—118no—
1464#121—118no—
1465#121—118no—
1466#121—118no—
1467#121—118no—
1468#121—118no—
1469#121—118no—
1470#121—118no—
1471#121C22×D1118yes—
1472#121C22×D1118yescomplemented
1473#121C22×D1118yescomplemented
1474#120—118no—
1475#120—118no—
1476#120—118no—
1477#120—118no—
1478#120—118no—
1479#120—118no—
1480#120—118no—
1481#120—118no—
1482#120—118no—
1483#120—118no—
1484#120—118no—
1485#120—118no—
1486#120—118no—
1487#120—118no—
1488#120C22×D1118yescomplemented
1489#120C22×D1118yescomplemented
1490C4×Q8—118no—
1491C4×D4—118no—
1492C4×D4—118no—
1493C4×D4—118no—
1494C4×D4—118no—
1495C4×D4—118no—
1496C4×D4—118no—
1497C4×D4—118no—
1498C4×D4—118no—
1499C4×D4—118no—
1500C4×D4—118no—
1501C4×D4—118no—
1502C4×D4—118no—
1503C4×D4—118no—
1504C4×D4C22×D1118yescomplemented
1505C4×D4C22×D1118yescomplemented
1506#117—118no—
1507#117—118no—
1508#117—118no—
1509#117—118no—
1510#117—118no—
1511#117—118no—
1512#117—118no—
1513C2×C4⋊C4—111no—
1514C2×C4⋊C4—111no—
1515C2×C4⋊C4—111no—
1516C2×C4⋊C4—111no—
1517C2×C4⋊C4—111no—
1518C2×C4⋊C4—118no—
1519C2×C4⋊C4—111no—
1520C2×C4⋊C4—111no—
1521C2×C4⋊C4—118no—
1522C2×C4⋊C4—111no—
1523C2×C4⋊C4—111no—
1524C2×C4⋊C4—111no—
1525C2×C4⋊C4—111no—
1526C2×C4⋊C4—111no—
1527C2×C4⋊C4—111no—
1528C2×C4⋊C4—111no—
1529C2×C4⋊C4—111no—
1530C2×C4⋊C4—111no—
1531C2×C4⋊C4—111no—
1532C2×C4⋊C4—111no—
1533C2×C4⋊C4—111no—
1534C2×C4⋊C4—111no—
1535C2×C4⋊C4—111no—
1536C2×C4⋊C4—111no—
1537C2×C4⋊C4—111no—
1538C2×C4⋊C4—111no—
1539C2×C4⋊C4C22×D1111yescharacteristic
1540C2×C4⋊C4C22×D1111yescharacteristic
1541C2×C4⋊C4C22×D1111yescharacteristic
1542C2×C4⋊C4C22×D1111yescharacteristic
1543C2×C22⋊C4—111no—
1544C2×C22⋊C4—111no—
1545C2×C22⋊C4—111no—
1546C2×C22⋊C4—111no—
1547C2×C22⋊C4—111no—
1548C2×C22⋊C4—118no—
1549C2×C22⋊C4—111no—
1550C2×C22⋊C4—111no—
1551C2×C22⋊C4—111no—
1552C2×C22⋊C4—111no—
1553C2×C22⋊C4—111no—
1554C2×C22⋊C4—111no—
1555C2×C22⋊C4—111no—
1556C2×C22⋊C4—111no—
1557C2×C22⋊C4—111no—
1558C2×C22⋊C4—111no—
1559C2×C22⋊C4—111no—
1560C2×C22⋊C4—111no—
1561C2×C22⋊C4—111no—
1562C2×C22⋊C4—111no—
1563C2×C22⋊C4—111no—
1564C2×C22⋊C4—111no—
1565C2×C22⋊C4—118no—
1566C2×C22⋊C4—111no—
1567C2×C22⋊C4—111no—
1568C2×C22⋊C4—111no—
1569C2×C22⋊C4—111no—
1570C2×C22⋊C4—111no—
1571C2×C22⋊C4—111no—
1572C2×C22⋊C4—111no—
1573C2×C22⋊C4—111no—
1574C2×C22⋊C4—111no—
1575C2×C22⋊C4—111no—
1576C2×C22⋊C4—111no—
1577C2×C22⋊C4—111no—
1578C2×C22⋊C4—111no—
1579C2×C22⋊C4—111no—
1580C2×C22⋊C4—111no—
1581C2×C22⋊C4—118no—
1582C2×C22⋊C4—118no—
1583C2×C22⋊C4C22×D1111yescharacteristic
1584C2×C22⋊C4C22×D1111yescharacteristic
1585C2×C22⋊C4C22×D1111yescharacteristic
1586C2×C22⋊C4C22×D1111yescharacteristic
1587C2×C22⋊C4C22×D1111yescharacteristic
1588C2×C22⋊C4C22×D1111yescharacteristic
1589C2×C22⋊C4C22×D1111yescharacteristic
1590C2×C22⋊C4C22×D1111yescharacteristic
1591C2×C22⋊C4C22×D1111yescharacteristic
1592C2×C22⋊C4C22×D1111yescharacteristic
1593C2×C22⋊C4C22×D1111yescharacteristic
1594C2×C22⋊C4C22×D1111yescharacteristic
1595C2×C22⋊C4C22×D1118yescomplemented
1596C2×C22⋊C4C22×D1118yescomplemented
1597C2×C42—111no—
1598C2×C42—111no—
1599C2×C42—111no—
1600C2×C42—111no—
1601C2×C42—111no—
1602C2×C42—111no—
1603C2×C42—111no—
1604C2×C42C22×D1111yescharacteristic
1605C2×C11—24no—
1606C2×C11—42no—
1607C2×C11—42no—
1608C2×C11—42no—
1609C2×C11—42no—
1610C2×C11—42no—
1611C2×C11#354214yescomplemented
1612C2×C11C22×H(5,𝔽2)11yescharacteristic
1613C2×C11C22×H(5,𝔽2)11yescharacteristic
1614C2×C11C2×#58511yescharacteristic
1615D11—42no—
1616D11—42no—
1617D11—42no—
1618D11—42no—
1619D11—42no—
1620C24—24no—
1621C24—42no—
1622C24—42no—
1623C24—42no—
1624C24—42no—
1625C24—42no—
1626C24—111no—
1627C24—111no—
1628C24—111no—
1629C24—111no—
1630C24—111no—
1631C24—114no—
1632C24—114no—
1633C24—114no—
1634C24—224no—
1635C24—224no—
1636C24—442no—
1637C24—442no—
1638C24—442no—
1639C24—442no—
1640C24—442no—
1641C24—442no—
1642C24—442no—
1643C24C23×D1111yescharacteristic
1644C24C23×D1111yescharacteristic
1645C24C23×D1111yescharacteristic
1646C24C23×D1111yescharacteristic
1647C24C23×D1111yescharacteristic
1648C24C23×D1111yescharacteristic
1649C24C23×D1114yes—
1650C24C23×D1114yes—
1651#41—416no—
1652#41—4416no—
1653#41—4416no—
1654#41—4416no—
1655#41—4416no—
1656C2×Q8—42no—
1657C2×Q8—114no—
1658C2×Q8—114no—
1659C2×Q8—114no—
1660C2×Q8—224no—
1661C2×Q8—442no—
1662C2×Q8—442no—
1663C2×Q8C23×D1114yes—
1664C2×D4—24no—
1665C2×D4—24no—
1666C2×D4—24no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—416no—
1674C2×D4—114no—
1675C2×D4—114no—
1676C2×D4—114no—
1677C2×D4—114no—
1678C2×D4—114no—
1679C2×D4—114no—
1680C2×D4—114no—
1681C2×D4—114no—
1682C2×D4—114no—
1683C2×D4—114no—
1684C2×D4—114no—
1685C2×D4—114no—
1686C2×D4—114no—
1687C2×D4—114no—
1688C2×D4—114no—
1689C2×D4—114no—
1690C2×D4—114no—
1691C2×D4—114no—
1692C2×D4—114no—
1693C2×D4—114no—
1694C2×D4—114no—
1695C2×D4—114no—
1696C2×D4—114no—
1697C2×D4—114no—
1698C2×D4—114no—
1699C2×D4—114no—
1700C2×D4—114no—
1701C2×D4—114no—
1702C2×D4—114no—
1703C2×D4—114no—
1704C2×D4—114no—
1705C2×D4—224no—
1706C2×D4—224no—
1707C2×D4—224no—
1708C2×D4—224no—
1709C2×D4—442no—
1710C2×D4—442no—
1711C2×D4—442no—
1712C2×D4—442no—
1713C2×D4—4416no—
1714C2×D4—442no—
1715C2×D4—442no—
1716C2×D4—442no—
1717C2×D4—4416no—
1718C2×D4—4416no—
1719C2×D4—442no—
1720C2×D4—442no—
1721C2×D4—442no—
1722C2×D4—442no—
1723C2×D4—4416no—
1724C2×D4—442no—
1725C2×D4—442no—
1726C2×D4—442no—
1727C2×D4—442no—
1728C2×D4—442no—
1729C2×D4—442no—
1730C2×D4—442no—
1731C2×D4—442no—
1732C2×D4—442no—
1733C2×D4—442no—
1734C2×D4—442no—
1735C2×D4—442no—
1736C2×D4—442no—
1737C2×D4—442no—
1738C2×D4—442no—
1739C2×D4—442no—
1740C2×D4—4416no—
1741C2×D4C23×D1114yes—
1742C2×D4C23×D1114yes—
1743C2×D4C23×D1114yes—
1744C2×D4C23×D1114yes—
1745C2×D4C23×D1114yes—
1746C2×D4C23×D1114yes—
1747C2×D4C23×D1114yes—
1748C2×D4C23×D1114yes—
1749C2×D4C23×D1114yes—
1750C22×C4—24no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—42no—
1756C22×C4—111no—
1757C22×C4—114no—
1758C22×C4—114no—
1759C22×C4—114no—
1760C22×C4—114no—
1761C22×C4—111no—
1762C22×C4—111no—
1763C22×C4—111no—
1764C22×C4—111no—
1765C22×C4—111no—
1766C22×C4—111no—
1767C22×C4—111no—
1768C22×C4—111no—
1769C22×C4—111no—
1770C22×C4—111no—
1771C22×C4—114no—
1772C22×C4—114no—
1773C22×C4—114no—
1774C22×C4—114no—
1775C22×C4—114no—
1776C22×C4—114no—
1777C22×C4—114no—
1778C22×C4—114no—
1779C22×C4—114no—
1780C22×C4—114no—
1781C22×C4—114no—
1782C22×C4—114no—
1783C22×C4—224no—
1784C22×C4—224no—
1785C22×C4—224no—
1786C22×C4—224no—
1787C22×C4—224no—
1788C22×C4—224no—
1789C22×C4—442no—
1790C22×C4—442no—
1791C22×C4—442no—
1792C22×C4—442no—
1793C22×C4—442no—
1794C22×C4—442no—
1795C22×C4—442no—
1796C22×C4—4416no—
1797C22×C4—442no—
1798C22×C4—442no—
1799C22×C4—442no—
1800C22×C4C23×D1114yes—
1801C22×C4C23×D1111yescharacteristic
1802C22×C4C23×D1111yescharacteristic
1803C22×C4C23×D1111yescharacteristic
1804C22×C4C23×D1111yescharacteristic
1805C22×C4C23×D1111yescharacteristic
1806C22×C4C23×D1111yescharacteristic
1807C22×C4C23×D1111yescharacteristic
1808C22×C4C23×D1111yescharacteristic
1809C22×C4C23×D1111yescharacteristic
1810C22×C4C23×D1114yes—
1811C22×C4C23×D1114yes—
1812C22×C4C23×D1114yes—
1813C22×C4C23×D1114yes—
1814C22×C4C23×D1114yes—
1815C4⋊C4—114no—
1816C4⋊C4—114no—
1817C4⋊C4—114no—
1818C4⋊C4—114no—
1819C4⋊C4—114no—
1820C4⋊C4—114no—
1821C4⋊C4—114no—
1822C4⋊C4—114no—
1823C4⋊C4—114no—
1824C4⋊C4—114no—
1825C4⋊C4—114no—
1826C4⋊C4—114no—
1827C4⋊C4—114no—
1828C4⋊C4—114no—
1829C4⋊C4—114no—
1830C4⋊C4—114no—
1831C4⋊C4—114no—
1832C4⋊C4—114no—
1833C4⋊C4—114no—
1834C4⋊C4—114no—
1835C4⋊C4—114no—
1836C4⋊C4—114no—
1837C4⋊C4—114no—
1838C4⋊C4—114no—
1839C4⋊C4C23×D1114yes—
1840C4⋊C4C23×D1114yes—
1841C4⋊C4C23×D1114yes—
1842C4⋊C4C23×D1114yes—
1843C22⋊C4—114no—
1844C22⋊C4—114no—
1845C22⋊C4—114no—
1846C22⋊C4—114no—
1847C22⋊C4—114no—
1848C22⋊C4—114no—
1849C22⋊C4—114no—
1850C22⋊C4—114no—
1851C22⋊C4—114no—
1852C22⋊C4—114no—
1853C22⋊C4—114no—
1854C22⋊C4—114no—
1855C22⋊C4—114no—
1856C22⋊C4—114no—
1857C22⋊C4—114no—
1858C22⋊C4—114no—
1859C22⋊C4—114no—
1860C22⋊C4—114no—
1861C22⋊C4—114no—
1862C22⋊C4—114no—
1863C22⋊C4—114no—
1864C22⋊C4—114no—
1865C22⋊C4—114no—
1866C22⋊C4—114no—
1867C22⋊C4—114no—
1868C22⋊C4—114no—
1869C22⋊C4—114no—
1870C22⋊C4—114no—
1871C22⋊C4—114no—
1872C22⋊C4—114no—
1873C22⋊C4—114no—
1874C22⋊C4—114no—
1875C22⋊C4—114no—
1876C22⋊C4—114no—
1877C22⋊C4—114no—
1878C22⋊C4—114no—
1879C22⋊C4C23×D1114yes—
1880C22⋊C4C23×D1114yes—
1881C22⋊C4C23×D1114yes—
1882C22⋊C4C23×D1114yes—
1883C22⋊C4C23×D1114yes—
1884C22⋊C4C23×D1114yes—
1885C22⋊C4C23×D1114yes—
1886C22⋊C4C23×D1114yes—
1887C22⋊C4C23×D1114yes—
1888C22⋊C4C23×D1114yes—
1889C22⋊C4C23×D1114yes—
1890C22⋊C4C23×D1114yes—
1891C42—114no—
1892C42—114no—
1893C42—114no—
1894C42—114no—
1895C42—114no—
1896C42—114no—
1897C42—114no—
1898C42C23×D1114yes—
1899C11C2×#354211yescharacteristic, complemented, Sylow
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23—22no—
1917C23—28no—
1918C23—44no—
1919C23—44no—
1920C23—44no—
1921C23—44no—
1922C23—44no—
1923C23—88no—
1924C23—88no—
1925C23—112no—
1926C23—112no—
1927C23—112no—
1928C23—112no—
1929C23—112no—
1930C23—222no—
1931C23—222no—
1932C23—228no—
1933C23—222no—
1934C23—222no—
1935C23—222no—
1936C23—222no—
1937C23—222no—
1938C23—222no—
1939C23—222no—
1940C23—222no—
1941C23—222no—
1942C23—222no—
1943C23—222no—
1944C23—222no—
1945C23—222no—
1946C23—228no—
1947C23—444no—
1948C23—444no—
1949C23—444no—
1950C23—444no—
1951C23—444no—
1952C23—444no—
1953C23—444no—
1954C23—4416no—
1955C23—888no—
1956C23—888no—
1957C23#6703714yes—
1958C23C24×D1112yes—
1959C23C24×D1112yes—
1960C23C24×D1112yes—
1961C23C24×D1112yes—
1962C23C24×D1112yes—
1963C23C24×D1112yes—
1964C23C24×D1111yescharacteristic
1965Q8—44no—
1966Q8—228no—
1967Q8—444no—
1968Q8—444no—
1969D4—28no—
1970D4—28no—
1971D4—28no—
1972D4—44no—
1973D4—44no—
1974D4—44no—
1975D4—44no—
1976D4—44no—
1977D4—44no—
1978D4—228no—
1979D4—228no—
1980D4—228no—
1981D4—228no—
1982D4—444no—
1983D4—444no—
1984D4—444no—
1985D4—444no—
1986D4—444no—
1987D4—444no—
1988D4—444no—
1989D4—444no—
1990D4—444no—
1991D4—444no—
1992D4—444no—
1993D4—444no—
1994D4—444no—
1995D4—444no—
1996D4—444no—
1997D4—444no—
1998D4—444no—
1999D4—444no—
2000D4—444no—
2001D4—444no—
2002D4—444no—
2003D4—444no—
2004D4—444no—
2005D4—444no—
2006D4—444no—
2007D4—444no—
2008D4—444no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—28no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—44no—
2020C2×C4—44no—
2021C2×C4—44no—
2022C2×C4—44no—
2023C2×C4—44no—
2024C2×C4—114no—
2025C2×C4—112no—
2026C2×C4—112no—
2027C2×C4—112no—
2028C2×C4—112no—
2029C2×C4—112no—
2030C2×C4—112no—
2031C2×C4—112no—
2032C2×C4—112no—
2033C2×C4—112no—
2034C2×C4—112no—
2035C2×C4—112no—
2036C2×C4—228no—
2037C2×C4—228no—
2038C2×C4—228no—
2039C2×C4—228no—
2040C2×C4—228no—
2041C2×C4—222no—
2042C2×C4—222no—
2043C2×C4—228no—
2044C2×C4—222no—
2045C2×C4—222no—
2046C2×C4—222no—
2047C2×C4—222no—
2048C2×C4—222no—
2049C2×C4—222no—
2050C2×C4—222no—
2051C2×C4—222no—
2052C2×C4—444no—
2053C2×C4—444no—
2054C2×C4—444no—
2055C2×C4—444no—
2056C2×C4—444no—
2057C2×C4—444no—
2058C2×C4—444no—
2059C2×C4—444no—
2060C2×C4—444no—
2061C2×C4—444no—
2062C2×C4C24×D1112yes—
2063C2×C4C24×D1112yes—
2064C2×C4C24×D1112yes—
2065C2×C4C24×D1112yes—
2066C2×C4C24×D1112yes—
2067C2×C4C24×D1112yes—
2068C2×C4C24×D1112yes—
2069C2×C4C24×D1112yes—
2070C2×C4C24×D1112yes—
2071C22—22no—
2072C22—22no—
2073C22—28no—
2074C22—22no—
2075C22—22no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—22no—
2084C22—22no—
2085C22—22no—
2086C22—22no—
2087C22—22no—
2088C22—22no—
2089C22—44no—
2090C22—44no—
2091C22—44no—
2092C22—44no—
2093C22—44no—
2094C22—88no—
2095C22—88no—
2096C22—222no—
2097C22—222no—
2098C22—222no—
2099C22—222no—
2100C22—222no—
2101C22—222no—
2102C22—222no—
2103C22—222no—
2104C22—222no—
2105C22—222no—
2106C22—222no—
2107C22—222no—
2108C22—222no—
2109C22—222no—
2110C22—222no—
2111C22—4416no—
2112C22—444no—
2113C22—444no—
2114C22—444no—
2115C22—444no—
2116C22—444no—
2117C22—888no—
2118C22—888no—
2119C22C2×#6703714yes—
2120C22C2×#6703712yes—
2121C22#1062345312yes—
2122C22D11×H(5,𝔽2)12yes—
2123C22C25×D1111yescharacteristic
2124C4—22no—
2125C4—22no—
2126C4—22no—
2127C4—22no—
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—114no—
2134C4—222no—
2135C4—222no—
2136C4—222no—
2137C4—222no—
2138C4—222no—
2139C4—222no—
2140C4—222no—
2141C4—222no—
2142C4—222no—
2143C4—222no—
2144C2—24no—
2145C2—42no—
2146C2—42no—
2147C2—42no—
2148C2—42no—
2149C2—42no—
2150C2—442no—
2151C2—442no—
2152C2—442no—
2153C2—442no—
2154C2—442no—
2155C2#1308291714yesdirect product factor
2156C2C2×D11×H(5,𝔽2)11yescharacteristic
2157C2C22×#6703711yescharacteristic
2158C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#546C2
socleC23×C11C25
hypercenterC2×#546D11
hypocenterC11C2×#3542
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #13082917C2direct (N × H)
2. C2×#10623198C2semidirect
3. C2×#10623178C2semidirect
4. C2×#10623126C2semidirect
5. C2×#10623151C2semidirect
6. C2×#10623201C2semidirect
7. C2×#10623071C2semidirect
8. C2×#10623181C2semidirect
9. C2×#10623087C2semidirect
10. C2×#10623026C2semidirect
11. C2×#10623130C2semidirect
12. C2×#10623355C2semidirect
13. C2×#10623021C2semidirect
14. C2×#10623141C2semidirect
15. C2×#10623122C2semidirect
16. C2×D4×C22⋊D11C2semidirect
17. C2×#10623171C2semidirect
18. C2×#10623194C2semidirect
19. C2×#10623093C2semidirect
20. C2×#10623146C2semidirect
21. C2×#10623025C2semidirect
22. C2×#10623209C2semidirect
23. C2×#10623128C2semidirect
24. C2×#10623123C2semidirect
25. C2×#10623123C2semidirect
26. C2×#10623361C2semidirect
27. C2×#10623184C2semidirect
28. C2×#10623335C2semidirect
29. C2×#10623137C2semidirect
30. C2×#10623078C2semidirect
31. C22×#66937C2semidirect
32. C2×C11×#546C2semidirect
33. C22×C11×#41C22semidirect
36. C23×C22⋊D11C22semidirect
37. C23×C22⋊D11C22semidirect
38. C22×#4341C22semidirect
39. C22×#4341C22semidirect
40. C22×#4341C22semidirect
42. C22×#4339C22semidirect
43. C23×D44C22semidirect
44. C23×C4×D11C22semidirect
45. C11×#546C22semidirect
46. C2×C11×#124C22semidirect
48. C2×C11×#123C22semidirect
49. C2×C11×C22⋊Q8C22semidirect
51. C2×C11×#121C22semidirect
52. C2×C11×#121C22semidirect
53. C2×C11×#120C22semidirect
54. C2×C11×#120C22semidirect
55. C2×C4×D4×C11C22semidirect
56. C2×C4×D4×C11C22semidirect
57. C22×C11×C22⋊C4C22semidirect
58. C22×C11×C22⋊C4C22semidirect
60. C2×#67006C22semidirect
61. C2×#67006C22semidirect
62. C2×#67006C22semidirect
63. C22×C22⋊Dic11C22semidirect
64. #10623361C22semidirect
65. #10623355C22semidirect
66. C2×#67000C22semidirect
67. C2×#67000C22semidirect
68. C2×#66999C22semidirect
69. C2×#66997C22semidirect
70. #10623335C22semidirect
71. C2×#66993C22semidirect
72. C2×#66993C22semidirect
73. C2×#66993C22semidirect
74. C2×#66993C22semidirect
75. C2×#66993C22semidirect
77. C2×#66992C22semidirect
78. C2×#66992C22semidirect
79. C2×#66992C22semidirect
80. C2×#66992C22semidirect
81. C2×#66992C22semidirect
82. C2×#66992C22semidirect
83. C2×#66992C22semidirect
84. C2×#66992C22semidirect
85. C2×#66992C22semidirect
86. C2×#66992C22semidirect
87. C2×#66992C22semidirect
88. D4×C22⋊D11C22semidirect
89. C2×#66991C22semidirect
90. C2×#66991C22semidirect
91. C2×#66991C22semidirect
94. C2×#66990C22semidirect
95. C2×#66990C22semidirect
96. C2×#66990C22semidirect
97. C2×#66990C22semidirect
98. C2×#66990C22semidirect
100. C2×#66988C22semidirect
101. C2×#66988C22semidirect
103. C2×D4×Dic11C22semidirect
104. C2×#66983C22semidirect
105. C2×#66983C22semidirect
106. C2×#66983C22semidirect
107. C2×#66983C22semidirect
108. C2×#66983C22semidirect
109. C2×#66982C22semidirect
110. C2×#66982C22semidirect
111. C2×#66982C22semidirect
112. C2×#66982C22semidirect
113. C2×#66982C22semidirect
114. C2×C4×C22⋊D11C22semidirect
115. C2×C4×C22⋊D11C22semidirect
116. C2×C4×C22⋊D11C22semidirect
117. C2×C4×C22⋊D11C22semidirect
118. C2×C4×C22⋊D11C22semidirect
119. C22×(C2×D11)⋊C4C22semidirect
120. C2×#66979C22semidirect
121. C2×#66977C22semidirect
122. C2×#66977C22semidirect
123. C22×Dic11⋊C4C22semidirect
124. C22×Dic11⋊C4C22semidirect
125. #10623209C22semidirect
126. #10623201C22semidirect
127. #10623198C22semidirect
128. #10623194C22semidirect
129. #10623184C22semidirect
130. #10623181C22semidirect
131. #10623178C22semidirect
132. #10623171C22semidirect
133. #10623151C22semidirect
134. #10623146C22semidirect
135. #10623141C22semidirect
136. #10623137C22semidirect
137. #10623130C22semidirect
138. #10623128C22semidirect
139. #10623126C22semidirect
140. #10623123C22semidirect
141. #10623123C22semidirect
142. #10623122C22semidirect
143. #10623093C22semidirect
144. #10623087C22semidirect
145. #10623078C22semidirect
146. #10623071C22semidirect
147. C2×#66951C22semidirect
148. C2×#66950C22semidirect
149. C2×#66949C22semidirect
150. C2×#66949C22semidirect
151. C2×#66949C22semidirect
152. C2×#66948C22semidirect
153. C2×#66948C22semidirect
154. C2×#66947C22semidirect
155. C2×#66947C22semidirect
156. C2×#66947C22semidirect
157. C2×#66947C22semidirect
158. C2×#66945C22semidirect
159. C2×#66943C22semidirect
160. C2×#66942C22semidirect
161. C2×#66942C22semidirect
162. C2×#66940C22semidirect
163. #10623026C22semidirect
164. #10623025C22semidirect
165. C2×#66939C22semidirect
166. C2×#66939C22semidirect
167. C2×#66938C22semidirect
168. C2×#66938C22semidirect
169. C2×#66938C22semidirect
170. C2×#66938C22semidirect
171. C2×#66938C22semidirect
172. C2×#66938C22semidirect
173. #10623021C22semidirect
176. C2×#66937C22semidirect
177. C2×#66937C22semidirect
178. C2×#66937C22semidirect
179. C2×#66937C22semidirect
180. C2×#66937C22semidirect
181. C2×#66937C22semidirect
182. C2×#66937C22semidirect
183. C2×#66937C22semidirect
184. C2×#66937C22semidirect
185. C2×#66937C22semidirect
186. C2×#66937C22semidirect
187. C2×#66937C22semidirect
188. C2×#66937C22semidirect
189. C2×#66936C22semidirect
190. C2×#66936C22semidirect
191. C2×#66936C22semidirect
192. C2×#66936C22semidirect
193. C2×#66936C22semidirect
194. C2×#66936C22semidirect
195. C2×#66935C22semidirect
196. C2×#66935C22semidirect
197. C2×#66935C22semidirect
198. C2×(C22⋊D11)⋊C4C22semidirect
199. C2×(C22⋊D11)⋊C4C22semidirect
200. C2×(C22⋊D11)⋊C4C22semidirect
201. C2×(C22⋊D11)⋊C4C22semidirect
202. C2×(C22⋊D11)⋊C4C22semidirect
203. C2×C22⋊C4×D11C22semidirect
204. C2×C22⋊C4×D11C22semidirect
205. C2×#66932C22semidirect
206. C2×#66932C22semidirect
207. C2×#66932C22semidirect
208. C2×#66932C22semidirect
209. C2×#66931C22semidirect
210. C2×#66931C22semidirect
211. C2×#66931C22semidirect
212. C2×#66930C22semidirect
213. C2×#66930C22semidirect
214. C2×#66930C22semidirect
215. C2×#66929C22semidirect
216. C2×C4×D44C22semidirect
217. C2×#66925C22semidirect
218. C2×#66925C22semidirect
225. C2×C11×#41C23semidirect
272. C22×C22⋊D11C23semidirect
273. C22×C22⋊D11C23semidirect
284. C2×#4341C23semidirect
285. C2×#4341C23semidirect
286. C2×#4341C23semidirect
290. C2×#4339C23semidirect
299. C22×D44C23semidirect
310. C22×C4×D11C23semidirect
314. C11×#124C23semidirect
316. C11×#123C23semidirect
317. C11×C22⋊Q8C23semidirect
319. C11×#121C23semidirect
320. C11×#121C23semidirect
321. C11×#120C23semidirect
322. C11×#120C23semidirect
323. C4×D4×C11C23semidirect
324. C4×D4×C11C23semidirect
341. C2×C11×C22⋊C4C23semidirect
342. C2×C11×C22⋊C4C23semidirect
345. #67006C23semidirect
346. #67006C23semidirect
347. #67006C23semidirect
362. C2×C22⋊Dic11C23semidirect
363. #67000C23semidirect
364. #67000C23semidirect
365. #66999C23semidirect
366. #66997C23semidirect
367. #66993C23semidirect
368. #66993C23semidirect
369. #66993C23semidirect
370. #66993C23semidirect
371. #66993C23semidirect
373. #66992C23semidirect
374. #66992C23semidirect
375. #66992C23semidirect
376. #66992C23semidirect
377. #66992C23semidirect
378. #66992C23semidirect
379. #66992C23semidirect
380. #66992C23semidirect
381. #66992C23semidirect
382. #66992C23semidirect
383. #66992C23semidirect
384. #66991C23semidirect
385. #66991C23semidirect
386. #66991C23semidirect
389. #66990C23semidirect
390. #66990C23semidirect
391. #66990C23semidirect
392. #66990C23semidirect
393. #66990C23semidirect
395. #66988C23semidirect
396. #66988C23semidirect
398. D4×Dic11C23semidirect
399. #66983C23semidirect
400. #66983C23semidirect
401. #66983C23semidirect
402. #66983C23semidirect
403. #66983C23semidirect
404. #66982C23semidirect
405. #66982C23semidirect
406. #66982C23semidirect
407. #66982C23semidirect
408. #66982C23semidirect
409. C4×C22⋊D11C23semidirect
410. C4×C22⋊D11C23semidirect
411. C4×C22⋊D11C23semidirect
412. C4×C22⋊D11C23semidirect
413. C4×C22⋊D11C23semidirect
436. C2×(C2×D11)⋊C4C23semidirect
437. #66979C23semidirect
444. #66977C23semidirect
445. #66977C23semidirect
464. C2×Dic11⋊C4C23semidirect
465. C2×Dic11⋊C4C23semidirect
473. #66951C23semidirect
474. #66950C23semidirect
475. #66949C23semidirect
476. #66949C23semidirect
477. #66949C23semidirect
478. #66948C23semidirect
479. #66948C23semidirect
480. #66947C23semidirect
481. #66947C23semidirect
482. #66947C23semidirect
483. #66947C23semidirect
484. #66945C23semidirect
485. #66943C23semidirect
486. #66942C23semidirect
487. #66942C23semidirect
488. #66940C23semidirect
489. #66939C23semidirect
490. #66939C23semidirect
491. #66938C23semidirect
492. #66938C23semidirect
493. #66938C23semidirect
494. #66938C23semidirect
495. #66938C23semidirect
496. #66938C23semidirect
499. #66937C23semidirect
500. #66937C23semidirect
501. #66937C23semidirect
502. #66937C23semidirect
503. #66937C23semidirect
504. #66937C23semidirect
505. #66937C23semidirect
506. #66937C23semidirect
507. #66937C23semidirect
508. #66937C23semidirect
509. #66937C23semidirect
510. #66937C23semidirect
511. #66936C23semidirect
512. #66936C23semidirect
513. #66936C23semidirect
514. #66936C23semidirect
515. #66936C23semidirect
516. #66936C23semidirect
517. #66935C23semidirect
518. #66935C23semidirect
519. #66935C23semidirect
520. (C22⋊D11)⋊C4C23semidirect
521. (C22⋊D11)⋊C4C23semidirect
522. (C22⋊D11)⋊C4C23semidirect
523. (C22⋊D11)⋊C4C23semidirect
524. (C22⋊D11)⋊C4C23semidirect
525. C22⋊C4×D11C23semidirect
526. C22⋊C4×D11C23semidirect
527. #66932C23semidirect
528. #66932C23semidirect
529. #66932C23semidirect
530. #66932C23semidirect
531. #66931C23semidirect
532. #66931C23semidirect
533. #66931C23semidirect
534. #66930C23semidirect
535. #66930C23semidirect
536. #66930C23semidirect
537. #66929C23semidirect
538. C4×D44C23semidirect
539. #66925C23semidirect
540. #66925C23semidirect
836. C2×#546D11semidirect
1028. C22×#41C2×D11semidirect
1050. #546C2×D11semidirect
1087. C2×#124C2×D11semidirect
1111. C2×#123C2×D11semidirect
1122. C2×C22⋊Q8C2×D11semidirect
1161. C2×#121C2×D11semidirect
1162. C2×#121C2×D11semidirect
1177. C2×#120C2×D11semidirect
1178. C2×#120C2×D11semidirect
1193. C2×C4×D4C2×D11semidirect
1194. C2×C4×D4C2×D11semidirect
1208. C22×C22⋊C4C2×D11semidirect
1209. C22×C22⋊C4C2×D11semidirect
1297. C2×#41C22×D11semidirect
1401. #124C22×D11semidirect
1423. #123C22×D11semidirect
1434. C22⋊Q8C22×D11semidirect
1472. #121C22×D11semidirect
1473. #121C22×D11semidirect
1488. #120C22×D11semidirect
1489. #120C22×D11semidirect
1504. C4×D4C22×D11semidirect
1505. C4×D4C22×D11semidirect
1595. C2×C22⋊C4C22×D11semidirect
1596. C2×C22⋊C4C22×D11semidirect
1611. C2×C11#3542semidirect
1899. C11C2×#3542semidirect
2155. C2#13082917direct (N × H)

Maximal subgroups

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

subgroupindex
#130829172
C2×#106231982
C2×#106231782
C2×#106231262
C2×#106231512
C2×#106232012
C2×#106230712
C2×#106231812
C2×#106230872
C2×#106230262
C2×#106231302
C2×#106233552
C2×#106230212
C2×#106231412
C2×#106231222
C2×D4×C22⋊D112
C2×#106231712
C2×#106231942
C2×#106230932
C2×#106231462
C2×#106230252
C2×#106232092
C2×#106231282
C2×#106231232
C2×#106233612
C2×#106231842
C2×#106233352
C2×#106231372
C2×#106230782
C22×#669372
C2×C11×#5462
C2×#354211