Finite Group Databasebeta

← C2×#13082816 #15660969

Subgroups — C2×#13082816 #15660969

Order 2816.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082816C2132yesmaximal, direct product factor
2C2×#10623182C211yesmaximal, characteristic, complemented
3C2×#10623177C211yesmaximal, characteristic, complemented
4C2×#10623152C211yesmaximal, characteristic, complemented
5C2×#10623166C211yesmaximal, characteristic, complemented
6C2×#10623167C211yesmaximal, characteristic, complemented
7C2×#10623170C211yesmaximal, characteristic, complemented
8C2×#10623224C211yesmaximal, characteristic, complemented
9C2×#10623210C211yesmaximal, characteristic, complemented
10C2×#10623210C211yesmaximal, characteristic, complemented
11C2×#10623190C211yesmaximal, characteristic, complemented
12C2×#10623189C211yesmaximal, characteristic, complemented
13C2×#10623142C211yesmaximal, characteristic, complemented
14C2×#10623186C211yesmaximal, characteristic, complemented
15C2×#10623143C211yesmaximal, characteristic, complemented
16C2×#10623141C211yesmaximal, characteristic, complemented
17C2×#10623220C211yesmaximal, characteristic, complemented
18C2×#10623165C211yesmaximal, characteristic, complemented
19C2×#10623213C211yesmaximal, characteristic, complemented
20C2×#10623134C211yesmaximal, characteristic, complemented
21C2×#10623169C211yesmaximal, characteristic, complemented
22C2×#10623133C211yesmaximal, characteristic, complemented
23C2×#10623196C211yesmaximal, characteristic, complemented
24C2×#10623191C211yesmaximal, characteristic, complemented
25C2×#10623191C211yesmaximal, characteristic, complemented
26C2×#10623144C211yesmaximal, characteristic, complemented
27C2×#10623159C211yesmaximal, characteristic, complemented
28C2×#10623206C211yesmaximal, characteristic, complemented
29C2×#10623137C211yesmaximal, characteristic, complemented
30C2×D11×#123C211yesmaximal, characteristic, complemented
31C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
32C2×C11×#562C211yesmaximal, characteristic, complemented
33C22×Q8×D11C2211yescharacteristic, complemented
34C22×#4341C2211yescharacteristic
35C22×#4341C2211yescharacteristic, complemented
36C22×D4×D11C2211yescharacteristic
37C22×#4339C2211yescharacteristic
38C23×C4×D11C2211yescharacteristic
39C11×#562C22116yescomplemented
40C2×C11×#125C2211yescharacteristic, complemented
41C2×C11×#124C2211yescharacteristic, complemented
42C2×C11×#124C2211yescharacteristic, complemented
43C2×C11×#123C2211yescharacteristic
44C2×C11×#123C2211yescharacteristic, complemented
45C2×C11×#123C2211yescharacteristic, complemented
46C2×C11×#123C2211yescharacteristic, complemented
47C2×C11×C22⋊Q8C2211yescharacteristic, complemented
48C2×C11×C22⋊Q8C2211yescharacteristic, complemented
49C2×C11×C22⋊Q8C2211yescharacteristic, complemented
50C2×C11×C22⋊Q8C2211yescharacteristic, complemented
51C2×C11×#121C2211yescharacteristic
52C2×C11×#121C2211yescharacteristic
53C2×C11×#121C2211yescharacteristic, complemented
54C2×C11×#121C2211yescharacteristic, complemented
55C2×#66999C2211yescharacteristic
56C2×#66999C2211yescharacteristic
57C2×#66999C2211yescharacteristic, complemented
58C2×#66999C2211yescharacteristic, complemented
59C2×#66999C2211yescharacteristic, complemented
60C2×Q8×Dic11C2211yescharacteristic, complemented
61C2×#66997C2211yescharacteristic, complemented
62C2×#66992C2211yescharacteristic
63C2×#66992C2211yescharacteristic, complemented
64C2×#66991C2211yescharacteristic
65C2×#66991C2211yescharacteristic
66C2×#66991C2211yescharacteristic
67C2×#66990C2211yescharacteristic
68C2×#66990C2211yescharacteristic
69C2×#66990C2211yescharacteristic
70C2×#66990C2211yescharacteristic
71C2×#66989C2211yescharacteristic
72C2×#66989C2211yescharacteristic, complemented
73C2×#66989C2211yescharacteristic, complemented
74C2×#66988C2211yescharacteristic
75C2×#66988C2211yescharacteristic
76C2×#66988C2211yescharacteristic, complemented
77C2×#66988C2211yescharacteristic, complemented
78C2×#66988C2211yescharacteristic, complemented
79C2×#66988C2211yescharacteristic, complemented
80C2×D4×Dic11C2211yescharacteristic, complemented
81C2×D4×Dic11C2211yescharacteristic, complemented
82C2×D4×Dic11C2211yescharacteristic, complemented
83C2×#66982C2211yescharacteristic
84C2×#66982C2211yescharacteristic, complemented
85C2×C4×C22⋊D11C2211yescharacteristic
86C2×C4×C22⋊D11C2211yescharacteristic
87C2×C4×C22⋊D11C2211yescharacteristic
88C2×C4×C22⋊D11C2211yescharacteristic, complemented
89C22×(C2×D11)⋊C4C2211yescharacteristic
90C2×#66979C2211yescharacteristic, complemented
91C22×C4⋊Dic11C2211yescharacteristic, complemented
92C2×#66977C2211yescharacteristic, complemented
93C2×#66977C2211yescharacteristic, complemented
94C2×#66977C2211yescharacteristic, complemented
95C2×#66977C2211yescharacteristic, complemented
96C22×Dic11⋊C4C2211yescharacteristic, complemented
97#10623224C22116yescomplemented
98#10623220C22116yescomplemented
99#10623213C22116yescomplemented
100#10623210C22116yescomplemented
101#10623210C22116yescomplemented
102#10623206C22116yescomplemented
103#10623196C22116yescomplemented
104#10623191C22116yescomplemented
105#10623191C22116yescomplemented
106#10623190C22116yescomplemented
107#10623189C22116yescomplemented
108#10623186C22116yescomplemented
109D11×#123C22116yescomplemented
110#10623182C22116yescomplemented
111#10623177C22116yescomplemented
112#10623170C22116yescomplemented
113#10623169C22116yescomplemented
114#10623167C22116yescomplemented
115#10623166C22116yescomplemented
116#10623165C22116yescomplemented
117#10623159C22116yescomplemented
118D11×C22⋊Q8C22116yescomplemented
119#10623152C22116yescomplemented
120#10623144C22116yescomplemented
121#10623143C22116yescomplemented
122#10623142C22116yescomplemented
123#10623141C22116yescomplemented
124#10623137C22116yescomplemented
125#10623134C22116yescomplemented
126#10623133C22116yescomplemented
127C2×#66951C2211yescharacteristic, complemented
128C2×#66951C2211yescharacteristic, complemented
129C2×#66951C2211yescharacteristic, complemented
130C2×#66950C2211yescharacteristic
131C2×#66950C2211yescharacteristic
132C2×#66950C2211yescharacteristic
133C2×#66950C2211yescharacteristic, complemented
134C2×#66949C2211yescharacteristic
135C2×#66949C2211yescharacteristic
136C2×#66949C2211yescharacteristic
137C2×#66949C2211yescharacteristic
138C2×#66949C2211yescharacteristic, complemented
139C2×#66949C2211yescharacteristic, complemented
140C2×#66949C2211yescharacteristic, complemented
141C2×#66947C2211yescharacteristic
142C2×#66947C2211yescharacteristic
143C2×#66947C2211yescharacteristic
144C2×#66946C2211yescharacteristic
145C2×#66945C2211yescharacteristic
146C2×#66945C2211yescharacteristic, complemented
147C2×#66945C2211yescharacteristic, complemented
148C2×C4⋊C4×D11C2211yescharacteristic
149C2×C4⋊C4×D11C2211yescharacteristic
150C2×C4⋊C4×D11C2211yescharacteristic, complemented
151C2×C4⋊C4×D11C2211yescharacteristic, complemented
152C2×C4⋊C4×D11C2211yescharacteristic, complemented
153C2×#66943C2211yescharacteristic, complemented
154C2×#66943C2211yescharacteristic, complemented
155C2×#66942C2211yescharacteristic, complemented
156C2×#66942C2211yescharacteristic, complemented
157C2×#66942C2211yescharacteristic, complemented
158C2×#66942C2211yescharacteristic, complemented
159C2×#66942C2211yescharacteristic, complemented
160C2×#66942C2211yescharacteristic, complemented
161C2×#66942C2211yescharacteristic, complemented
162C2×#66941C2211yescharacteristic, complemented
163C2×#66941C2211yescharacteristic, complemented
164C2×#66941C2211yescharacteristic, complemented
165C2×#66941C2211yescharacteristic, complemented
166C2×#66940C2211yescharacteristic, complemented
167C2×#66939C2211yescharacteristic
168C2×#66939C2211yescharacteristic, complemented
169C2×#66938C2211yescharacteristic
170C2×#66938C2211yescharacteristic, complemented
171C2×#66938C2211yescharacteristic, complemented
172C2×#66937C2211yescharacteristic
173C2×#66936C2211yescharacteristic
174C2×#66936C2211yescharacteristic
175C2×#66936C2211yescharacteristic
176C2×#66936C2211yescharacteristic
177C2×#66936C2211yescharacteristic
178C2×#66936C2211yescharacteristic
179C2×#66936C2211yescharacteristic, complemented
180C2×#66936C2211yescharacteristic, complemented
181C2×#66936C2211yescharacteristic, complemented
182C2×#66936C2211yescharacteristic, complemented
183C2×#66936C2211yescharacteristic, complemented
184C2×(C22⋊D11)⋊C4C2211yescharacteristic
185C2×(C22⋊D11)⋊C4C2211yescharacteristic
186C2×(C22⋊D11)⋊C4C2211yescharacteristic
187C2×(C22⋊D11)⋊C4C2211yescharacteristic
188C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
189C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
190C2×C22⋊C4×D11C2211yescharacteristic
191C2×C22⋊C4×D11C2211yescharacteristic
192C2×C22⋊C4×D11C2211yescharacteristic
193C2×C22⋊C4×D11C2211yescharacteristic
194C2×C22⋊C4×D11C2211yescharacteristic
195C2×C22⋊C4×D11C2211yescharacteristic
196C2×#66932C2211yescharacteristic, complemented
197C2×#66932C2211yescharacteristic, complemented
198C2×#66932C2211yescharacteristic, complemented
199C2×#66932C2211yescharacteristic, complemented
200C2×#66932C2211yescharacteristic, complemented
201C2×#66932C2211yescharacteristic, complemented
202C2×#66932C2211yescharacteristic, complemented
203C2×#66932C2211yescharacteristic, complemented
204C2×#66932C2211yescharacteristic, complemented
205C2×#66931C2211yescharacteristic, complemented
206C2×#66931C2211yescharacteristic, complemented
207C2×#66931C2211yescharacteristic, complemented
208C2×#66931C2211yescharacteristic, complemented
209C2×#66931C2211yescharacteristic, complemented
210C2×#66931C2211yescharacteristic, complemented
211C2×#66931C2211yescharacteristic, complemented
212C2×#66931C2211yescharacteristic, complemented
213C2×#66931C2211yescharacteristic, complemented
214C2×#66931C2211yescharacteristic, complemented
215C2×#66925C2211yescharacteristic
216C2×#66925C2211yescharacteristic, complemented
217C2×#66925C2211yescharacteristic, complemented
218C2×#66922C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C22×Q8×C11C2311yescharacteristic
222C22×Q8×C11C2311yescharacteristic
223C22×D4×C11C2311yescharacteristic
224C22×D4×C11C2311yescharacteristic
225C22×D4×C11C2311yescharacteristic
226C22×D4×C11C2311yescharacteristic
227C22×D4×C11C2311yescharacteristic
228C22×D4×C11C2311yescharacteristic
229C23×C4×C11C2311yescharacteristic
230C23×C4×C11C2311yescharacteristic
231C23×C4×C11C2311yescharacteristic
232C23×C4×C11C2311yescharacteristic
233C22×C22⋊D11C2311yescharacteristic
234C22×C22⋊D11C2311yescharacteristic
235C22×C22⋊D11C2311yescharacteristic
236C22×C22⋊D11C2311yescharacteristic
237C22×C22⋊D11C2311yescharacteristic
238C22×C22⋊D11C2311yescharacteristic
239C22×C22⋊D11C2311yescharacteristic
240C22×C22⋊D11C2311yescharacteristic
241C23×Dic11C2311yescharacteristic
242C23×Dic11C2311yescharacteristic
243C23×Dic11C2311yescharacteristic
244C23×Dic11C2311yescharacteristic
245C23×Dic11C2311yescharacteristic
246C23×Dic11C2311yescharacteristic
247C2×Q8×D11—44no—
248C2×Q8×D11C2318yescomplemented
249C2×#4341—44no—
250C2×#4341—44no—
251C2×#4341C2318yes—
252C2×#4341C2318yescomplemented
253C2×D4×D11—44no—
254C2×D4×D11C2318yes—
255C2×#4339—44no—
256C2×#4339C2318yes—
257C22×D44C2311yescharacteristic
258C22×C4×D11—44no—
259C22×C4×D11C2311yescharacteristic
260C22×C4×D11C2311yescharacteristic
261C22×C4×D11C2311yescharacteristic
262C22×C4×D11C2311yescharacteristic
263C22×C4×D11C2311yescharacteristic
264C22×C4×D11C2311yescharacteristic
265C22×C4×D11C2311yescharacteristic
266C22×C4×D11C2311yescharacteristic
267C22×C4×D11C2311yescharacteristic
268C22×C4×D11C2311yescharacteristic
269C22×C4×D11C2311yescharacteristic
270C22×C4×D11C2311yescharacteristic
271C22×C4×D11C2311yescharacteristic
272C22×C4×D11C2318yes—
273C22×Dic22C2311yescharacteristic
274C22×Dic22C2311yescharacteristic
275C22×Dic22C2311yescharacteristic
276C22×Dic22C2311yescharacteristic
277C22×Dic22C2311yescharacteristic
278C22×Dic22C2311yescharacteristic
279C22×Dic22C2311yescharacteristic
280C11×#125C2318yescomplemented
281C11×#124C2318yescomplemented
282C11×#124C2318yescomplemented
283C11×#123C2318yes—
284C11×#123C2318yescomplemented
285C11×#123C2318yescomplemented
286C11×#123C2318yescomplemented
287C11×C22⋊Q8C2318yescomplemented
288C11×C22⋊Q8C2318yescomplemented
289C11×C22⋊Q8C2318yescomplemented
290C11×C22⋊Q8C2318yescomplemented
291C11×#121C2318yes—
292C11×#121C2318yes—
293C11×#121C2318yescomplemented
294C11×#121C2318yescomplemented
295C2×C11×C4⋊C4C2311yescharacteristic
296C2×C11×C4⋊C4C2311yescharacteristic
297C2×C11×C4⋊C4C2311yescharacteristic
298C2×C11×C4⋊C4C2311yescharacteristic
299C2×C11×C4⋊C4C2311yescharacteristic
300C2×C11×C4⋊C4C2311yescharacteristic
301C2×C11×C4⋊C4C2311yescharacteristic
302C2×C11×C4⋊C4C2311yescharacteristic
303C2×C11×C4⋊C4C2311yescharacteristic
304C2×C11×C4⋊C4C2311yescharacteristic
305C2×C11×C22⋊C4C2311yescharacteristic
306C2×C11×C22⋊C4C2311yescharacteristic
307C2×C11×C22⋊C4C2311yescharacteristic
308C2×C11×C22⋊C4C2311yescharacteristic
309C2×C11×C22⋊C4C2311yescharacteristic
310C2×C11×C22⋊C4C2311yescharacteristic
311C2×C11×C22⋊C4C2311yescharacteristic
312C2×C11×C22⋊C4C2311yescharacteristic
313C2×C11×C22⋊C4C2311yescharacteristic
314C2×C11×C22⋊C4C2311yescharacteristic
315C2×C11×C22⋊C4C2311yescharacteristic
316C2×C11×C22⋊C4C2311yescharacteristic
317C2×C42×C11C2311yescharacteristic
318C2×C22⋊Dic11C2311yescharacteristic
319C2×C22⋊Dic11C2311yescharacteristic
320C2×C22⋊Dic11C2311yescharacteristic
321C2×C22⋊Dic11C2311yescharacteristic
322C2×C22⋊Dic11C2311yescharacteristic
323C2×C22⋊Dic11C2311yescharacteristic
324C2×C22⋊Dic11C2311yescharacteristic
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
334#66999C2318yes—
335#66999C2318yes—
336#66999C2318yescomplemented
337#66999C2318yescomplemented
338#66999C2318yescomplemented
339Q8×Dic11C2318yescomplemented
340#66997C2318yescomplemented
341#66992C2318yes—
342#66992C2318yescomplemented
343#66991C2318yes—
344#66991C2318yes—
345#66991C2318yes—
346#66990C2318yes—
347#66990C2318yes—
348#66990C2318yes—
349#66990C2318yes—
350#66989C2318yes—
351#66989C2318yescomplemented
352#66989C2318yescomplemented
353#66988C2318yes—
354#66988C2318yes—
355#66988C2318yescomplemented
356#66988C2318yescomplemented
357#66988C2318yescomplemented
358#66988C2318yescomplemented
359D4×Dic11C2318yescomplemented
360D4×Dic11C2318yescomplemented
361D4×Dic11C2318yescomplemented
362#66982C2318yes—
363#66982C2318yescomplemented
364C4×C22⋊D11C2318yes—
365C4×C22⋊D11C2318yes—
366C4×C22⋊D11C2318yes—
367C4×C22⋊D11C2318yescomplemented
368C2×(C2×D11)⋊C4C2311yescharacteristic
369C2×(C2×D11)⋊C4C2311yescharacteristic
370C2×(C2×D11)⋊C4C2311yescharacteristic
371C2×(C2×D11)⋊C4C2311yescharacteristic
372C2×(C2×D11)⋊C4C2311yescharacteristic
373C2×(C2×D11)⋊C4C2311yescharacteristic
374C2×(C2×D11)⋊C4C2311yescharacteristic
375C2×(C2×D11)⋊C4C2311yescharacteristic
376C2×(C2×D11)⋊C4C2311yescharacteristic
377C2×(C2×D11)⋊C4C2311yescharacteristic
378C2×(C2×D11)⋊C4C2311yescharacteristic
379C2×(C2×D11)⋊C4C2311yescharacteristic
380C2×(C2×D11)⋊C4C2311yescharacteristic
381C2×(C2×D11)⋊C4C2311yescharacteristic
382C2×(C2×D11)⋊C4C2311yescharacteristic
383C2×(C2×D11)⋊C4C2311yescharacteristic
384C2×(C2×D11)⋊C4C2311yescharacteristic
385C2×(C2×D11)⋊C4C2311yescharacteristic
386C2×(C2×D11)⋊C4C2318yes—
387#66979C2318yescomplemented
388C2×C4⋊Dic11C2311yescharacteristic
389C2×C4⋊Dic11C2311yescharacteristic
390C2×C4⋊Dic11C2311yescharacteristic
391C2×C4⋊Dic11C2311yescharacteristic
392C2×C4⋊Dic11C2311yescharacteristic
393C2×C4⋊Dic11C2311yescharacteristic
394C2×C4⋊Dic11C2311yescharacteristic
395C2×C4⋊Dic11C2311yescharacteristic
396C2×C4⋊Dic11C2311yescharacteristic
397C2×C4⋊Dic11C2311yescharacteristic
398C2×C4⋊Dic11C2311yescharacteristic
399C2×C4⋊Dic11C2311yescharacteristic
400C2×C4⋊Dic11C2311yescharacteristic
401C2×C4⋊Dic11C2311yescharacteristic
402C2×C4⋊Dic11C2318yescomplemented
403#66977C2318yescomplemented
404#66977C2318yescomplemented
405#66977C2318yescomplemented
406#66977C2318yescomplemented
407C2×Dic11⋊C4C2311yescharacteristic
408C2×Dic11⋊C4C2311yescharacteristic
409C2×Dic11⋊C4C2311yescharacteristic
410C2×Dic11⋊C4C2311yescharacteristic
411C2×Dic11⋊C4C2311yescharacteristic
412C2×Dic11⋊C4C2311yescharacteristic
413C2×Dic11⋊C4C2311yescharacteristic
414C2×Dic11⋊C4C2311yescharacteristic
415C2×Dic11⋊C4C2311yescharacteristic
416C2×Dic11⋊C4C2311yescharacteristic
417C2×Dic11⋊C4C2311yescharacteristic
418C2×Dic11⋊C4C2311yescharacteristic
419C2×Dic11⋊C4C2311yescharacteristic
420C2×Dic11⋊C4C2311yescharacteristic
421C2×Dic11⋊C4C2311yescharacteristic
422C2×Dic11⋊C4C2311yescharacteristic
423C2×Dic11⋊C4C2311yescharacteristic
424C2×Dic11⋊C4C2311yescharacteristic
425C2×Dic11⋊C4C2311yescharacteristic
426C2×Dic11⋊C4C2311yescharacteristic
427C2×Dic11⋊C4C2311yescharacteristic
428C2×Dic11⋊C4C2311yescharacteristic
429C2×Dic11⋊C4C2311yescharacteristic
430C2×Dic11⋊C4C2311yescharacteristic
431C2×Dic11⋊C4C2311yescharacteristic
432C2×Dic11⋊C4C2311yescharacteristic
433C2×Dic11⋊C4C2318yescomplemented
434C2×C4×Dic11C2311yescharacteristic
435C2×C4×Dic11C2311yescharacteristic
436C2×C4×Dic11C2311yescharacteristic
437C2×C4×Dic11C2311yescharacteristic
438C2×C4×Dic11C2311yescharacteristic
439C2×C4×Dic11C2311yescharacteristic
440C2×C4×Dic11C2311yescharacteristic
441C2×C4×Dic11C2311yescharacteristic
442C2×C4×Dic11C2311yescharacteristic
443#66951C2318yescomplemented
444#66951C2318yescomplemented
445#66951C2318yescomplemented
446#66950C2318yes—
447#66950C2318yes—
448#66950C2318yes—
449#66950C2318yescomplemented
450#66949C2318yes—
451#66949C2318yes—
452#66949C2318yes—
453#66949C2318yes—
454#66949C2318yescomplemented
455#66949C2318yescomplemented
456#66949C2318yescomplemented
457#66947C2318yes—
458#66947C2318yes—
459#66947C2318yes—
460#66946C2318yes—
461#66945C2318yes—
462#66945C2318yescomplemented
463#66945C2318yescomplemented
464C4⋊C4×D11C2318yes—
465C4⋊C4×D11C2318yes—
466C4⋊C4×D11C2318yescomplemented
467C4⋊C4×D11C2318yescomplemented
468C4⋊C4×D11C2318yescomplemented
469#66943C2318yescomplemented
470#66943C2318yescomplemented
471#66942C2318yescomplemented
472#66942C2318yescomplemented
473#66942C2318yescomplemented
474#66942C2318yescomplemented
475#66942C2318yescomplemented
476#66942C2318yescomplemented
477#66942C2318yescomplemented
478#66941C2318yescomplemented
479#66941C2318yescomplemented
480#66941C2318yescomplemented
481#66941C2318yescomplemented
482#66940C2318yescomplemented
483#66939C2318yes—
484#66939C2318yescomplemented
485#66938C2318yes—
486#66938C2318yescomplemented
487#66938C2318yescomplemented
488#66937C2318yes—
489#66936C2318yes—
490#66936C2318yes—
491#66936C2318yes—
492#66936C2318yes—
493#66936C2318yes—
494#66936C2318yes—
495#66936C2318yescomplemented
496#66936C2318yescomplemented
497#66936C2318yescomplemented
498#66936C2318yescomplemented
499#66936C2318yescomplemented
500(C22⋊D11)⋊C4C2318yes—
501(C22⋊D11)⋊C4C2318yes—
502(C22⋊D11)⋊C4C2318yes—
503(C22⋊D11)⋊C4C2318yes—
504(C22⋊D11)⋊C4C2318yescomplemented
505(C22⋊D11)⋊C4C2318yescomplemented
506C22⋊C4×D11C2318yes—
507C22⋊C4×D11C2318yes—
508C22⋊C4×D11C2318yes—
509C22⋊C4×D11C2318yes—
510C22⋊C4×D11C2318yes—
511C22⋊C4×D11C2318yes—
512#66932C2318yescomplemented
513#66932C2318yescomplemented
514#66932C2318yescomplemented
515#66932C2318yescomplemented
516#66932C2318yescomplemented
517#66932C2318yescomplemented
518#66932C2318yescomplemented
519#66932C2318yescomplemented
520#66932C2318yescomplemented
521#66931C2318yescomplemented
522#66931C2318yescomplemented
523#66931C2318yescomplemented
524#66931C2318yescomplemented
525#66931C2318yescomplemented
526#66931C2318yescomplemented
527#66931C2318yescomplemented
528#66931C2318yescomplemented
529#66931C2318yescomplemented
530#66931C2318yescomplemented
531#66925C2318yes—
532#66925C2318yescomplemented
533#66925C2318yescomplemented
534#66922C2318yescomplemented
535C2×#3535—111nomaximal, Sylow
536C24×C11C2411yescharacteristic
537C24×C11C2411yescharacteristic
538C24×C11C2411yescharacteristic
539C24×C11C2411yescharacteristic
540C23×D11—24no—
541C23×D11—24no—
542C23×D11—24no—
543C23×D11—42no—
544C23×D11—42no—
545C23×D11—42no—
546C23×D11C2411yescharacteristic
547C23×D11C2414yes—
548C23×D11C2411yescharacteristic
549C23×D11C2411yescharacteristic
550C23×D11C2414yes—
551C2×Q8×C11—42no—
552C2×Q8×C11—42no—
553C2×Q8×C11C2414yes—
554C2×Q8×C11C2414yes—
555C2×D4×C11—42no—
556C2×D4×C11—42no—
557C2×D4×C11—42no—
558C2×D4×C11—42no—
559C2×D4×C11—42no—
560C2×D4×C11—42no—
561C2×D4×C11C2414yes—
562C2×D4×C11C2414yes—
563C2×D4×C11C2414yes—
564C2×D4×C11C2414yes—
565C2×D4×C11C2414yes—
566C2×D4×C11C2414yes—
567C22×C4×C11—42no—
568C22×C4×C11—42no—
569C22×C4×C11—42no—
570C22×C4×C11—42no—
571C22×C4×C11C2411yescharacteristic
572C22×C4×C11C2411yescharacteristic
573C22×C4×C11C2411yescharacteristic
574C22×C4×C11C2411yescharacteristic
575C22×C4×C11C2411yescharacteristic
576C22×C4×C11C2411yescharacteristic
577C22×C4×C11C2411yescharacteristic
578C22×C4×C11C2411yescharacteristic
579C22×C4×C11C2411yescharacteristic
580C22×C4×C11C2411yescharacteristic
581C22×C4×C11C2411yescharacteristic
582C22×C4×C11C2414yes—
583C22×C4×C11C2414yes—
584C22×C4×C11C2414yes—
585C22×C4×C11C2414yes—
586C2×C22⋊D11—24no—
587C2×C22⋊D11—24no—
588C2×C22⋊D11—24no—
589C2×C22⋊D11—24no—
590C2×C22⋊D11—24no—
591C2×C22⋊D11—42no—
592C2×C22⋊D11—42no—
593C2×C22⋊D11—42no—
594C2×C22⋊D11C2414yes—
595C2×C22⋊D11C2414yes—
596C2×C22⋊D11C2414yes—
597C2×C22⋊D11C2414yes—
598C2×C22⋊D11C2414yes—
599C2×C22⋊D11C2414yes—
600C2×C22⋊D11C2414yes—
601C2×C22⋊D11C2414yes—
602C22×Dic11—42no—
603C22×Dic11—42no—
604C22×Dic11—42no—
605C22×Dic11—42no—
606C22×Dic11—42no—
607C22×Dic11—42no—
608C22×Dic11C2411yescharacteristic
609C22×Dic11C2411yescharacteristic
610C22×Dic11C2411yescharacteristic
611C22×Dic11C2411yescharacteristic
612C22×Dic11C2411yescharacteristic
613C22×Dic11C2411yescharacteristic
614C22×Dic11C2411yescharacteristic
615C22×Dic11C2411yescharacteristic
616C22×Dic11C2411yescharacteristic
617C22×Dic11C2411yescharacteristic
618C22×Dic11C2411yescharacteristic
619C22×Dic11C2411yescharacteristic
620C22×Dic11C2411yescharacteristic
621C22×Dic11C2414yes—
622C22×Dic11C2414yes—
623C22×Dic11C2414yes—
624C22×Dic11C2414yes—
625C22×Dic11C2414yes—
626C22×Dic11C2414yes—
627Q8×D11—416no—
628#4341—416no—
629#4341—416no—
630D4×D11—416no—
631#4339—416no—
632C2×D44—24no—
633C2×D44C2414yes—
634C2×C4×D11—24no—
635C2×C4×D11—24no—
636C2×C4×D11—24no—
637C2×C4×D11—24no—
638C2×C4×D11—24no—
639C2×C4×D11—42no—
640C2×C4×D11—42no—
641C2×C4×D11—42no—
642C2×C4×D11—42no—
643C2×C4×D11—42no—
644C2×C4×D11—42no—
645C2×C4×D11—42no—
646C2×C4×D11—42no—
647C2×C4×D11—416no—
648C2×C4×D11C2414yes—
649C2×C4×D11C2414yes—
650C2×C4×D11C2414yes—
651C2×C4×D11C2414yes—
652C2×C4×D11C2414yes—
653C2×C4×D11C2414yes—
654C2×C4×D11C2414yes—
655C2×C4×D11C2414yes—
656C2×C4×D11C2414yes—
657C2×C4×D11C2414yes—
658C2×C4×D11C2414yes—
659C2×C4×D11C2414yes—
660C2×C4×D11C2414yes—
661C2×Dic22—42no—
662C2×Dic22—42no—
663C2×Dic22—42no—
664C2×Dic22—42no—
665C2×Dic22—42no—
666C2×Dic22—42no—
667C2×Dic22—42no—
668C2×Dic22C2414yes—
669C2×Dic22C2414yes—
670C2×Dic22C2414yes—
671C2×Dic22C2414yes—
672C2×Dic22C2414yes—
673C2×Dic22C2414yes—
674C2×Dic22C2414yes—
675C11×C4⋊C4C2414yes—
676C11×C4⋊C4C2414yes—
677C11×C4⋊C4C2414yes—
678C11×C4⋊C4C2414yes—
679C11×C4⋊C4C2414yes—
680C11×C4⋊C4C2414yes—
681C11×C4⋊C4C2414yes—
682C11×C4⋊C4C2414yes—
683C11×C4⋊C4C2414yes—
684C11×C4⋊C4C2414yes—
685C11×C22⋊C4C2414yes—
686C11×C22⋊C4C2414yes—
687C11×C22⋊C4C2414yes—
688C11×C22⋊C4C2414yes—
689C11×C22⋊C4C2414yes—
690C11×C22⋊C4C2414yes—
691C11×C22⋊C4C2414yes—
692C11×C22⋊C4C2414yes—
693C11×C22⋊C4C2414yes—
694C11×C22⋊C4C2414yes—
695C11×C22⋊C4C2414yes—
696C11×C22⋊C4C2414yes—
697C42×C11C2414yes—
698C22⋊Dic11C2414yes—
699C22⋊Dic11C2414yes—
700C22⋊Dic11C2414yes—
701C22⋊Dic11C2414yes—
702C22⋊Dic11C2414yes—
703C22⋊Dic11C2414yes—
704C22⋊Dic11C2414yes—
705C22⋊Dic11C2414yes—
706C22⋊Dic11C2414yes—
707C22⋊Dic11C2414yes—
708C22⋊Dic11C2414yes—
709C22⋊Dic11C2414yes—
710C22⋊Dic11C2414yes—
711C22⋊Dic11C2414yes—
712C22⋊Dic11C2414yes—
713C22⋊Dic11C2414yes—
714(C2×D11)⋊C4C2414yes—
715(C2×D11)⋊C4C2414yes—
716(C2×D11)⋊C4C2414yes—
717(C2×D11)⋊C4C2414yes—
718(C2×D11)⋊C4C2414yes—
719(C2×D11)⋊C4C2414yes—
720(C2×D11)⋊C4C2414yes—
721(C2×D11)⋊C4C2414yes—
722(C2×D11)⋊C4C2414yes—
723(C2×D11)⋊C4C2414yes—
724(C2×D11)⋊C4C2414yes—
725(C2×D11)⋊C4C2414yes—
726(C2×D11)⋊C4C2414yes—
727(C2×D11)⋊C4C2414yes—
728(C2×D11)⋊C4C2414yes—
729(C2×D11)⋊C4C2414yes—
730(C2×D11)⋊C4C2414yes—
731(C2×D11)⋊C4C2414yes—
732C4⋊Dic11C2414yes—
733C4⋊Dic11C2414yes—
734C4⋊Dic11C2414yes—
735C4⋊Dic11C2414yes—
736C4⋊Dic11C2414yes—
737C4⋊Dic11C2414yes—
738C4⋊Dic11C2414yes—
739C4⋊Dic11C2414yes—
740C4⋊Dic11C2414yes—
741C4⋊Dic11C2414yes—
742C4⋊Dic11C2414yes—
743C4⋊Dic11C2414yes—
744C4⋊Dic11C2414yes—
745C4⋊Dic11C2414yes—
746Dic11⋊C4C2414yes—
747Dic11⋊C4C2414yes—
748Dic11⋊C4C2414yes—
749Dic11⋊C4C2414yes—
750Dic11⋊C4C2414yes—
751Dic11⋊C4C2414yes—
752Dic11⋊C4C2414yes—
753Dic11⋊C4C2414yes—
754Dic11⋊C4C2414yes—
755Dic11⋊C4C2414yes—
756Dic11⋊C4C2414yes—
757Dic11⋊C4C2414yes—
758Dic11⋊C4C2414yes—
759Dic11⋊C4C2414yes—
760Dic11⋊C4C2414yes—
761Dic11⋊C4C2414yes—
762Dic11⋊C4C2414yes—
763Dic11⋊C4C2414yes—
764Dic11⋊C4C2414yes—
765Dic11⋊C4C2414yes—
766Dic11⋊C4C2414yes—
767Dic11⋊C4C2414yes—
768Dic11⋊C4C2414yes—
769Dic11⋊C4C2414yes—
770Dic11⋊C4C2414yes—
771Dic11⋊C4C2414yes—
772C4×Dic11C2414yes—
773C4×Dic11C2414yes—
774C4×Dic11C2414yes—
775C4×Dic11C2414yes—
776C4×Dic11C2414yes—
777C4×Dic11C2414yes—
778C4×Dic11C2414yes—
779C4×Dic11C2414yes—
780C4×Dic11C2414yes—
781#3535—1132no—
782C2×#563—111no—
783C2×#563—111no—
784C2×#562—111no—
785C2×#562D1111yescharacteristic, complemented
786C2×#554—111no—
787C2×#554—111no—
788C2×#552—111no—
789C2×#552—111no—
790C2×#551—111no—
791C2×#551—111no—
792C2×#551—111no—
793C2×#551—111no—
794C2×#547—111no—
795C2×#547—111no—
796C2×#546—111no—
797C2×#546—111no—
798C2×#544—111no—
799C2×#543—111no—
800C2×#542—111no—
801C2×#542—111no—
802C2×#539—111no—
803C2×#539—111no—
804C2×#539—111no—
805C2×#539—111no—
806C2×#539—111no—
807C2×#538—111no—
808C2×#536—111no—
809C2×#536—111no—
810C2×#525—111no—
811C22×#123—111no—
812C22×C22⋊Q8—111no—
813C23×C11—22no—
814C23×C11—22no—
815C23×C11—22no—
816C23×C11—22no—
817C23×C11—22no—
818C23×C11—22no—
819C23×C11—22no—
820C23×C11—22no—
821C23×C11—22no—
822C23×C11—22no—
823C23×C11—22no—
824C23×C11—22no—
825C23×C11C2512yes—
826C23×C11C2512yes—
827C23×C11C2512yes—
828C23×C11C2512yes—
829C23×C11C2511yescharacteristic
830C22×D11—22no—
831C22×D11—22no—
832C22×D11—22no—
833C22×D11—22no—
834C22×D11—22no—
835C22×D11—22no—
836C22×D11—22no—
837C22×D11—28no—
838C22×D11—28no—
839C22×D11—28no—
840C22×D11—44no—
841C22×D11—416no—
842C22×D11—44no—
843C22×D11—44no—
844C22×D11—88no—
845C22×D11H(5,𝔽2)14yes—
846C22×D112−1+414yes—
847C22×D11C2512yes—
848C22×D11C2512yes—
849C22×D11C2512yes—
850Q8×C11—44no—
851Q8×C11—44no—
852D4×C11—44no—
853D4×C11—44no—
854D4×C11—44no—
855D4×C11—44no—
856D4×C11—44no—
857D4×C11—44no—
858C2×C4×C11—22no—
859C2×C4×C11—22no—
860C2×C4×C11—22no—
861C2×C4×C11—22no—
862C2×C4×C11—22no—
863C2×C4×C11—22no—
864C2×C4×C11—22no—
865C2×C4×C11—22no—
866C2×C4×C11—22no—
867C2×C4×C11—22no—
868C2×C4×C11—22no—
869C2×C4×C11—44no—
870C2×C4×C11—44no—
871C2×C4×C11—44no—
872C2×C4×C11—44no—
873C2×C4×C11C2512yes—
874C2×C4×C11C2512yes—
875C2×C4×C11C2512yes—
876C2×C4×C11C2512yes—
877C2×C4×C11C2512yes—
878C2×C4×C11C2512yes—
879C2×C4×C11C2512yes—
880C2×C4×C11C2512yes—
881C2×C4×C11C2512yes—
882C2×C4×C11C2512yes—
883C2×C4×C11C2512yes—
884C22⋊D11—28no—
885C22⋊D11—28no—
886C22⋊D11—28no—
887C22⋊D11—28no—
888C22⋊D11—28no—
889C22⋊D11—44no—
890C22⋊D11—44no—
891C22⋊D11—44no—
892C2×Dic11—22no—
893C2×Dic11—22no—
894C2×Dic11—22no—
895C2×Dic11—22no—
896C2×Dic11—22no—
897C2×Dic11—22no—
898C2×Dic11—22no—
899C2×Dic11—22no—
900C2×Dic11—22no—
901C2×Dic11—22no—
902C2×Dic11—22no—
903C2×Dic11—22no—
904C2×Dic11—22no—
905C2×Dic11—44no—
906C2×Dic11—44no—
907C2×Dic11—44no—
908C2×Dic11—44no—
909C2×Dic11—44no—
910C2×Dic11—44no—
911C2×Dic11C2512yes—
912C2×Dic11C2512yes—
913C2×Dic11C2512yes—
914C2×Dic11C2512yes—
915C2×Dic11C2512yes—
916C2×Dic11C2512yes—
917C2×Dic11C2512yes—
918C2×Dic11C2512yes—
919C2×Dic11C2512yes—
920C2×Dic11C2512yes—
921C2×Dic11C2512yes—
922C2×Dic11C2512yes—
923C2×Dic11C2512yes—
924D44—28no—
925C4×D11—28no—
926C4×D11—28no—
927C4×D11—28no—
928C4×D11—28no—
929C4×D11—28no—
930C4×D11—44no—
931C4×D11—44no—
932C4×D11—44no—
933C4×D11—44no—
934C4×D11—44no—
935C4×D11—44no—
936C4×D11—44no—
937C4×D11—44no—
938Dic22—44no—
939Dic22—44no—
940Dic22—44no—
941Dic22—44no—
942Dic22—44no—
943Dic22—44no—
944Dic22—44no—
945C22×#41—111no—
946C22×#41—111no—
947C22×#41—111no—
948C23×Q8—111no—
949C23×D4—111no—
950C24×C4—111no—
951#563—1116no—
952#563—1116no—
953#562—1116no—
954#562C2×D11116yescomplemented
955#554—1116no—
956#554—1116no—
957#552—1116no—
958#552—1116no—
959#551—1116no—
960#551—1116no—
961#551—1116no—
962#551—1116no—
963#547—1116no—
964#547—1116no—
965#546—1116no—
966#546—1116no—
967#544—1116no—
968#543—1116no—
969#542—1116no—
970#542—1116no—
971#539—1116no—
972#539—1116no—
973#539—1116no—
974#539—1116no—
975#539—1116no—
976#538—1116no—
977#536—1116no—
978#536—1116no—
979C2×C4⋊Q8—111no—
980C2×C4⋊Q8—111no—
981C2×C4⋊Q8—111no—
982C2×C4⋊Q8—111no—
983C2×C4⋊Q8—111no—
984C2×C4⋊Q8—111no—
985C2×#126—111no—
986C2×#126—111no—
987C2×#126—111no—
988C2×#126—111no—
989C2×#126—111no—
990C2×#126—111no—
991C2×#126—111no—
992C2×#126—111no—
993C2×#126—111no—
994C2×#126—111no—
995C2×#126—111no—
996C2×#126—111no—
997C2×#125—111no—
998C2×#125—111no—
999C2×#125—111no—
1000C2×#125—111no—
1001C2×#125—111no—
1002C2×#125—111no—
1003C2×#125—111no—
1004C2×#125—111no—
1005C2×#125—111no—
1006C2×#125C2×D1111yescharacteristic, complemented
1007C2×#124—111no—
1008C2×#124—111no—
1009C2×#124—111no—
1010C2×#124—111no—
1011C2×#124—111no—
1012C2×#124—111no—
1013C2×#124C2×D1111yescharacteristic, complemented
1014C2×#124C2×D1111yescharacteristic, complemented
1015#525—1116no—
1016C2×#123—111no—
1017C2×#123—111no—
1018C2×#123—111no—
1019C2×#123—111no—
1020C2×#123—111no—
1021C2×#123—111no—
1022C2×#123—111no—
1023C2×#123—111no—
1024C2×#123—1116no—
1025C2×#123—111no—
1026C2×#123—111no—
1027C2×#123—111no—
1028C2×#123—111no—
1029C2×#123—111no—
1030C2×#123—111no—
1031C2×#123—111no—
1032C2×#123—111no—
1033C2×#123—111no—
1034C2×#123—111no—
1035C2×#123—111no—
1036C2×#123—111no—
1037C2×#123—111no—
1038C2×#123—111no—
1039C2×#123—111no—
1040C2×#123—111no—
1041C2×#123C2×D1111yescharacteristic
1042C2×#123C2×D1111yescharacteristic, complemented
1043C2×#123C2×D1111yescharacteristic, complemented
1044C2×#123C2×D1111yescharacteristic, complemented
1045C2×C22⋊Q8—111no—
1046C2×C22⋊Q8—111no—
1047C2×C22⋊Q8—111no—
1048C2×C22⋊Q8—111no—
1049C2×C22⋊Q8—111no—
1050C2×C22⋊Q8—111no—
1051C2×C22⋊Q8—111no—
1052C2×C22⋊Q8—111no—
1053C2×C22⋊Q8—111no—
1054C2×C22⋊Q8—1116no—
1055C2×C22⋊Q8—111no—
1056C2×C22⋊Q8—111no—
1057C2×C22⋊Q8—111no—
1058C2×C22⋊Q8—111no—
1059C2×C22⋊Q8—111no—
1060C2×C22⋊Q8—111no—
1061C2×C22⋊Q8—111no—
1062C2×C22⋊Q8—111no—
1063C2×C22⋊Q8—111no—
1064C2×C22⋊Q8—111no—
1065C2×C22⋊Q8—111no—
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⋊Q8C2×D1111yescharacteristic, complemented
1077C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1078C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1079C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1080C2×#121—111no—
1081C2×#121—111no—
1082C2×#121—111no—
1083C2×#121—111no—
1084C2×#121—111no—
1085C2×#121—111no—
1086C2×#121C2×D1111yescharacteristic
1087C2×#121C2×D1111yescharacteristic
1088C2×#121C2×D1111yescharacteristic, complemented
1089C2×#121C2×D1111yescharacteristic, complemented
1090C2×#120—111no—
1091C2×#120—111no—
1092C2×#120—111no—
1093C2×#120—111no—
1094C2×C4×Q8—111no—
1095C2×C4×Q8—111no—
1096C2×C4×D4—111no—
1097C2×C4×D4—111no—
1098C2×C4×D4—111no—
1099C2×C4×D4—111no—
1100C2×C4×D4—111no—
1101C2×C4×D4—111no—
1102C2×C4×D4—111no—
1103C2×C4×D4—111no—
1104C2×C4×D4—111no—
1105C2×C4×D4—111no—
1106C2×C4×D4—111no—
1107C2×C4×D4—111no—
1108C2×C4×D4—111no—
1109C2×C4×D4—111no—
1110C2×#117—111no—
1111C2×#117—111no—
1112C2×#117—111no—
1113C2×#117—111no—
1114C2×#117—111no—
1115C2×#117—111no—
1116C2×#117—111no—
1117C22×C4⋊C4—111no—
1118C22×C4⋊C4—111no—
1119C22×C4⋊C4—111no—
1120C22×C4⋊C4—111no—
1121C22×C4⋊C4—111no—
1122C22×C4⋊C4—111no—
1123C22×C4⋊C4—111no—
1124C22×C22⋊C4—111no—
1125C22×C22⋊C4—111no—
1126C22×C22⋊C4—111no—
1127C22×C22⋊C4—111no—
1128C22×C22⋊C4—111no—
1129C22×C22⋊C4—111no—
1130C22×C22⋊C4—111no—
1131C22×C11—22no—
1132C22×C11—22no—
1133C22×C11—22no—
1134C22×C11—22no—
1135C22×C11—22no—
1136C22×C11—22no—
1137C22×C11—22no—
1138C22×C11—22no—
1139C22×C11—22no—
1140C22×C11—22no—
1141C22×C11—22no—
1142C22×C11—22no—
1143C22×C11—44no—
1144C22×C11—44no—
1145C22×C11—44no—
1146C22×C11—44no—
1147C22×C11C2×H(5,𝔽2)12yes—
1148C22×C11C2×2−1+412yes—
1149C22×C11#58512yes—
1150C22×C11C2611yescharacteristic
1151C2×D11—22no—
1152C2×D11—22no—
1153C2×D11—22no—
1154C2×D11—22no—
1155C2×D11—28no—
1156C2×D11—28no—
1157C2×D11—22no—
1158C2×D11—22no—
1159C2×D11—22no—
1160C2×D11—416no—
1161C2×D11—44no—
1162C2×D11—88no—
1163C2×D11C2×H(5,𝔽2)14yes—
1164C2×D11C2×2−1+414yes—
1165C4×C11—22no—
1166C4×C11—22no—
1167C4×C11—22no—
1168C4×C11—22no—
1169C4×C11—22no—
1170C4×C11—22no—
1171C4×C11—22no—
1172C4×C11—22no—
1173C4×C11—22no—
1174C4×C11—22no—
1175C4×C11—22no—
1176Dic11—22no—
1177Dic11—22no—
1178Dic11—22no—
1179Dic11—22no—
1180Dic11—22no—
1181Dic11—22no—
1182Dic11—22no—
1183Dic11—22no—
1184Dic11—22no—
1185Dic11—22no—
1186Dic11—22no—
1187Dic11—22no—
1188Dic11—22no—
1189C25—111no—
1190C25—111no—
1191C2×#41—118no—
1192C2×#41—118no—
1193C2×#41—118no—
1194C2×#41—444no—
1195C2×#41—444no—
1196C2×#41—444no—
1197C22×Q8—118no—
1198C22×Q8—111no—
1199C22×Q8—111no—
1200C22×Q8—111no—
1201C22×Q8—111no—
1202C22×Q8—111no—
1203C22×Q8—111no—
1204C22×Q8—111no—
1205C22×Q8—444no—
1206C22×Q8C22×D1111yescharacteristic
1207C22×Q8C22×D1111yescharacteristic
1208C22×D4—111no—
1209C22×D4—111no—
1210C22×D4—111no—
1211C22×D4—111no—
1212C22×D4—111no—
1213C22×D4—111no—
1214C22×D4—111no—
1215C22×D4—111no—
1216C22×D4—118no—
1217C22×D4—111no—
1218C22×D4—444no—
1219C22×D4C22×D1111yescharacteristic
1220C22×D4C22×D1111yescharacteristic
1221C22×D4C22×D1111yescharacteristic
1222C22×D4C22×D1111yescharacteristic
1223C22×D4C22×D1111yescharacteristic
1224C22×D4C22×D1111yescharacteristic
1225C23×C4—111no—
1226C23×C4—111no—
1227C23×C4—111no—
1228C23×C4—111no—
1229C23×C4—111no—
1230C23×C4—111no—
1231C23×C4—111no—
1232C23×C4—111no—
1233C23×C4—111no—
1234C23×C4—111no—
1235C23×C4—111no—
1236C23×C4—111no—
1237C23×C4—111no—
1238C23×C4—111no—
1239C23×C4—111no—
1240C23×C4—111no—
1241C23×C4—111no—
1242C23×C4—111no—
1243C23×C4—111no—
1244C23×C4—118no—
1245C23×C4—444no—
1246C23×C4C22×D1111yescharacteristic
1247C23×C4C22×D1111yescharacteristic
1248C23×C4C22×D1111yescharacteristic
1249C23×C4C22×D1111yescharacteristic
1250C4⋊Q8—118no—
1251C4⋊Q8—118no—
1252C4⋊Q8—118no—
1253C4⋊Q8—118no—
1254C4⋊Q8—118no—
1255C4⋊Q8—118no—
1256#126—118no—
1257#126—118no—
1258#126—118no—
1259#126—118no—
1260#126—118no—
1261#126—118no—
1262#126—118no—
1263#126—118no—
1264#126—118no—
1265#126—118no—
1266#126—118no—
1267#126—118no—
1268#125—118no—
1269#125—118no—
1270#125—118no—
1271#125—118no—
1272#125—118no—
1273#125—118no—
1274#125—118no—
1275#125—118no—
1276#125—118no—
1277#125C22×D1118yescomplemented
1278#124—118no—
1279#124—118no—
1280#124—118no—
1281#124—118no—
1282#124—118no—
1283#124—118no—
1284#124C22×D1118yescomplemented
1285#124C22×D1118yescomplemented
1286#123—118no—
1287#123—118no—
1288#123—118no—
1289#123—118no—
1290#123—118no—
1291#123—118no—
1292#123—118no—
1293#123—118no—
1294#123—118no—
1295#123—118no—
1296#123—118no—
1297#123—118no—
1298#123—118no—
1299#123—118no—
1300#123—118no—
1301#123—118no—
1302#123—118no—
1303#123—118no—
1304#123—118no—
1305#123—118no—
1306#123—118no—
1307#123—118no—
1308#123—118no—
1309#123—118no—
1310#123C22×D1118yes—
1311#123C22×D1118yescomplemented
1312#123C22×D1118yescomplemented
1313#123C22×D1118yescomplemented
1314C22⋊Q8—118no—
1315C22⋊Q8—118no—
1316C22⋊Q8—118no—
1317C22⋊Q8—118no—
1318C22⋊Q8—118no—
1319C22⋊Q8—118no—
1320C22⋊Q8—118no—
1321C22⋊Q8—118no—
1322C22⋊Q8—118no—
1323C22⋊Q8—118no—
1324C22⋊Q8—118no—
1325C22⋊Q8—118no—
1326C22⋊Q8—118no—
1327C22⋊Q8—118no—
1328C22⋊Q8—118no—
1329C22⋊Q8—118no—
1330C22⋊Q8—118no—
1331C22⋊Q8—118no—
1332C22⋊Q8—118no—
1333C22⋊Q8—118no—
1334C22⋊Q8—118no—
1335C22⋊Q8—118no—
1336C22⋊Q8—118no—
1337C22⋊Q8—118no—
1338C22⋊Q8—118no—
1339C22⋊Q8—118no—
1340C22⋊Q8—118no—
1341C22⋊Q8—118no—
1342C22⋊Q8—118no—
1343C22⋊Q8—118no—
1344C22⋊Q8C22×D1118yescomplemented
1345C22⋊Q8C22×D1118yescomplemented
1346C22⋊Q8C22×D1118yescomplemented
1347C22⋊Q8C22×D1118yescomplemented
1348#121—118no—
1349#121—118no—
1350#121—118no—
1351#121—118no—
1352#121—118no—
1353#121—118no—
1354#121C22×D1118yes—
1355#121C22×D1118yes—
1356#121C22×D1118yescomplemented
1357#121C22×D1118yescomplemented
1358#120—118no—
1359#120—118no—
1360#120—118no—
1361#120—118no—
1362C4×Q8—118no—
1363C4×Q8—118no—
1364C4×D4—118no—
1365C4×D4—118no—
1366C4×D4—118no—
1367C4×D4—118no—
1368C4×D4—118no—
1369C4×D4—118no—
1370C4×D4—118no—
1371C4×D4—118no—
1372C4×D4—118no—
1373C4×D4—118no—
1374C4×D4—118no—
1375C4×D4—118no—
1376C4×D4—118no—
1377C4×D4—118no—
1378#117—118no—
1379#117—118no—
1380#117—118no—
1381#117—118no—
1382#117—118no—
1383#117—118no—
1384#117—118no—
1385C2×C4⋊C4—111no—
1386C2×C4⋊C4—111no—
1387C2×C4⋊C4—111no—
1388C2×C4⋊C4—111no—
1389C2×C4⋊C4—111no—
1390C2×C4⋊C4—111no—
1391C2×C4⋊C4—111no—
1392C2×C4⋊C4—111no—
1393C2×C4⋊C4—111no—
1394C2×C4⋊C4—111no—
1395C2×C4⋊C4—111no—
1396C2×C4⋊C4—111no—
1397C2×C4⋊C4—111no—
1398C2×C4⋊C4—111no—
1399C2×C4⋊C4—111no—
1400C2×C4⋊C4—111no—
1401C2×C4⋊C4—111no—
1402C2×C4⋊C4—111no—
1403C2×C4⋊C4—111no—
1404C2×C4⋊C4—118no—
1405C2×C4⋊C4—118no—
1406C2×C4⋊C4—111no—
1407C2×C4⋊C4—111no—
1408C2×C4⋊C4—111no—
1409C2×C4⋊C4—111no—
1410C2×C4⋊C4—111no—
1411C2×C4⋊C4—111no—
1412C2×C4⋊C4—111no—
1413C2×C4⋊C4—111no—
1414C2×C4⋊C4—111no—
1415C2×C4⋊C4—111no—
1416C2×C4⋊C4—111no—
1417C2×C4⋊C4—111no—
1418C2×C4⋊C4—111no—
1419C2×C4⋊C4—111no—
1420C2×C4⋊C4—111no—
1421C2×C4⋊C4—111no—
1422C2×C4⋊C4—111no—
1423C2×C4⋊C4—111no—
1424C2×C4⋊C4—111no—
1425C2×C4⋊C4—111no—
1426C2×C4⋊C4—111no—
1427C2×C4⋊C4—118no—
1428C2×C4⋊C4—118no—
1429C2×C4⋊C4—118no—
1430C2×C4⋊C4—118no—
1431C2×C4⋊C4—118no—
1432C2×C4⋊C4C22×D1111yescharacteristic
1433C2×C4⋊C4C22×D1111yescharacteristic
1434C2×C4⋊C4C22×D1111yescharacteristic
1435C2×C4⋊C4C22×D1111yescharacteristic
1436C2×C4⋊C4C22×D1111yescharacteristic
1437C2×C4⋊C4C22×D1111yescharacteristic
1438C2×C4⋊C4C22×D1111yescharacteristic
1439C2×C4⋊C4C22×D1111yescharacteristic
1440C2×C4⋊C4C22×D1111yescharacteristic
1441C2×C4⋊C4C22×D1111yescharacteristic
1442C2×C22⋊C4—111no—
1443C2×C22⋊C4—111no—
1444C2×C22⋊C4—111no—
1445C2×C22⋊C4—111no—
1446C2×C22⋊C4—111no—
1447C2×C22⋊C4—111no—
1448C2×C22⋊C4—111no—
1449C2×C22⋊C4—111no—
1450C2×C22⋊C4—111no—
1451C2×C22⋊C4—111no—
1452C2×C22⋊C4—111no—
1453C2×C22⋊C4—111no—
1454C2×C22⋊C4—111no—
1455C2×C22⋊C4—111no—
1456C2×C22⋊C4—111no—
1457C2×C22⋊C4—111no—
1458C2×C22⋊C4—111no—
1459C2×C22⋊C4—111no—
1460C2×C22⋊C4—111no—
1461C2×C22⋊C4—111no—
1462C2×C22⋊C4—111no—
1463C2×C22⋊C4—111no—
1464C2×C22⋊C4—111no—
1465C2×C22⋊C4—111no—
1466C2×C22⋊C4—111no—
1467C2×C22⋊C4—111no—
1468C2×C22⋊C4—111no—
1469C2×C22⋊C4—111no—
1470C2×C22⋊C4—111no—
1471C2×C22⋊C4—111no—
1472C2×C22⋊C4—118no—
1473C2×C22⋊C4—111no—
1474C2×C22⋊C4—111no—
1475C2×C22⋊C4—111no—
1476C2×C22⋊C4—111no—
1477C2×C22⋊C4—118no—
1478C2×C22⋊C4—118no—
1479C2×C22⋊C4—118no—
1480C2×C22⋊C4—118no—
1481C2×C22⋊C4—118no—
1482C2×C22⋊C4—118no—
1483C2×C22⋊C4C22×D1111yescharacteristic
1484C2×C22⋊C4C22×D1111yescharacteristic
1485C2×C22⋊C4C22×D1111yescharacteristic
1486C2×C22⋊C4C22×D1111yescharacteristic
1487C2×C22⋊C4C22×D1111yescharacteristic
1488C2×C22⋊C4C22×D1111yescharacteristic
1489C2×C22⋊C4C22×D1111yescharacteristic
1490C2×C22⋊C4C22×D1111yescharacteristic
1491C2×C22⋊C4C22×D1111yescharacteristic
1492C2×C22⋊C4C22×D1111yescharacteristic
1493C2×C22⋊C4C22×D1111yescharacteristic
1494C2×C22⋊C4C22×D1111yescharacteristic
1495C2×C42—111no—
1496C2×C42—111no—
1497C2×C42—111no—
1498C2×C42—111no—
1499C2×C42—111no—
1500C2×C42—111no—
1501C2×C42—111no—
1502C2×C42—111no—
1503C2×C42—111no—
1504C2×C42C22×D1111yescharacteristic
1505C2×C11—42no—
1506C2×C11—42no—
1507C2×C11—42no—
1508C2×C11—42no—
1509C2×C11#353514yescomplemented
1510C2×C11C22×H(5,𝔽2)11yescharacteristic
1511C2×C11C22×2−1+411yescharacteristic
1512C2×C11C2×#58511yescharacteristic
1513D11—24no—
1514D11—24no—
1515D11—42no—
1516C24—111no—
1517C24—111no—
1518C24—111no—
1519C24—114no—
1520C24—114no—
1521C24—224no—
1522C24—224no—
1523C24—224no—
1524C24—442no—
1525C24—442no—
1526C24—442no—
1527C24C23×D1111yescharacteristic
1528C24C23×D1111yescharacteristic
1529C24C23×D1111yescharacteristic
1530C24C23×D1111yescharacteristic
1531#41—4416no—
1532#41—4416no—
1533#41—4416no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—114no—
1537C2×Q8—114no—
1538C2×Q8—114no—
1539C2×Q8—114no—
1540C2×Q8—114no—
1541C2×Q8—114no—
1542C2×Q8—114no—
1543C2×Q8—442no—
1544C2×Q8—442no—
1545C2×Q8—442no—
1546C2×Q8—442no—
1547C2×Q8—442no—
1548C2×Q8—442no—
1549C2×Q8—442no—
1550C2×Q8—4416no—
1551C2×Q8C23×D1114yes—
1552C2×Q8C23×D1114yes—
1553C2×D4—42no—
1554C2×D4—42no—
1555C2×D4—42no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—114no—
1560C2×D4—114no—
1561C2×D4—114no—
1562C2×D4—114no—
1563C2×D4—114no—
1564C2×D4—114no—
1565C2×D4—114no—
1566C2×D4—114no—
1567C2×D4—114no—
1568C2×D4—224no—
1569C2×D4—224no—
1570C2×D4—224no—
1571C2×D4—224no—
1572C2×D4—224no—
1573C2×D4—224no—
1574C2×D4—442no—
1575C2×D4—442no—
1576C2×D4—442no—
1577C2×D4—4416no—
1578C2×D4C23×D1114yes—
1579C2×D4C23×D1114yes—
1580C2×D4C23×D1114yes—
1581C2×D4C23×D1114yes—
1582C2×D4C23×D1114yes—
1583C2×D4C23×D1114yes—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—111no—
1589C22×C4—111no—
1590C22×C4—111no—
1591C22×C4—111no—
1592C22×C4—111no—
1593C22×C4—111no—
1594C22×C4—111no—
1595C22×C4—111no—
1596C22×C4—111no—
1597C22×C4—111no—
1598C22×C4—111no—
1599C22×C4—111no—
1600C22×C4—111no—
1601C22×C4—114no—
1602C22×C4—114no—
1603C22×C4—114no—
1604C22×C4—114no—
1605C22×C4—114no—
1606C22×C4—114no—
1607C22×C4—114no—
1608C22×C4—114no—
1609C22×C4—114no—
1610C22×C4—114no—
1611C22×C4—114no—
1612C22×C4—114no—
1613C22×C4—114no—
1614C22×C4—114no—
1615C22×C4—114no—
1616C22×C4—114no—
1617C22×C4—114no—
1618C22×C4—114no—
1619C22×C4—114no—
1620C22×C4—224no—
1621C22×C4—224no—
1622C22×C4—224no—
1623C22×C4—224no—
1624C22×C4—224no—
1625C22×C4—442no—
1626C22×C4—442no—
1627C22×C4—442no—
1628C22×C4—442no—
1629C22×C4—442no—
1630C22×C4—442no—
1631C22×C4—442no—
1632C22×C4—442no—
1633C22×C4—4416no—
1634C22×C4—442no—
1635C22×C4—442no—
1636C22×C4—442no—
1637C22×C4—442no—
1638C22×C4—442no—
1639C22×C4—442no—
1640C22×C4C23×D1111yescharacteristic
1641C22×C4C23×D1111yescharacteristic
1642C22×C4C23×D1111yescharacteristic
1643C22×C4C23×D1111yescharacteristic
1644C22×C4C23×D1111yescharacteristic
1645C22×C4C23×D1111yescharacteristic
1646C22×C4C23×D1111yescharacteristic
1647C22×C4C23×D1111yescharacteristic
1648C22×C4C23×D1111yescharacteristic
1649C22×C4C23×D1111yescharacteristic
1650C22×C4C23×D1111yescharacteristic
1651C22×C4C23×D1114yes—
1652C22×C4C23×D1114yes—
1653C22×C4C23×D1114yes—
1654C22×C4C23×D1114yes—
1655C4⋊C4—114no—
1656C4⋊C4—114no—
1657C4⋊C4—114no—
1658C4⋊C4—114no—
1659C4⋊C4—114no—
1660C4⋊C4—114no—
1661C4⋊C4—114no—
1662C4⋊C4—114no—
1663C4⋊C4—114no—
1664C4⋊C4—114no—
1665C4⋊C4—114no—
1666C4⋊C4—114no—
1667C4⋊C4—114no—
1668C4⋊C4—114no—
1669C4⋊C4—114no—
1670C4⋊C4—114no—
1671C4⋊C4—114no—
1672C4⋊C4—114no—
1673C4⋊C4—114no—
1674C4⋊C4—114no—
1675C4⋊C4—114no—
1676C4⋊C4—114no—
1677C4⋊C4—114no—
1678C4⋊C4—114no—
1679C4⋊C4—114no—
1680C4⋊C4—114no—
1681C4⋊C4—114no—
1682C4⋊C4—114no—
1683C4⋊C4—114no—
1684C4⋊C4—114no—
1685C4⋊C4—114no—
1686C4⋊C4—114no—
1687C4⋊C4—114no—
1688C4⋊C4—114no—
1689C4⋊C4—114no—
1690C4⋊C4—114no—
1691C4⋊C4—114no—
1692C4⋊C4—114no—
1693C4⋊C4—114no—
1694C4⋊C4—114no—
1695C4⋊C4C23×D1114yes—
1696C4⋊C4C23×D1114yes—
1697C4⋊C4C23×D1114yes—
1698C4⋊C4C23×D1114yes—
1699C4⋊C4C23×D1114yes—
1700C4⋊C4C23×D1114yes—
1701C4⋊C4C23×D1114yes—
1702C4⋊C4C23×D1114yes—
1703C4⋊C4C23×D1114yes—
1704C4⋊C4C23×D1114yes—
1705C22⋊C4—114no—
1706C22⋊C4—114no—
1707C22⋊C4—114no—
1708C22⋊C4—114no—
1709C22⋊C4—114no—
1710C22⋊C4—114no—
1711C22⋊C4—114no—
1712C22⋊C4—114no—
1713C22⋊C4—114no—
1714C22⋊C4—114no—
1715C22⋊C4—114no—
1716C22⋊C4—114no—
1717C22⋊C4—114no—
1718C22⋊C4—114no—
1719C22⋊C4—114no—
1720C22⋊C4—114no—
1721C22⋊C4—114no—
1722C22⋊C4—114no—
1723C22⋊C4—114no—
1724C22⋊C4—114no—
1725C22⋊C4—114no—
1726C22⋊C4—114no—
1727C22⋊C4—114no—
1728C22⋊C4—114no—
1729C22⋊C4—114no—
1730C22⋊C4—114no—
1731C22⋊C4—114no—
1732C22⋊C4—114no—
1733C22⋊C4—114no—
1734C22⋊C4—114no—
1735C22⋊C4—114no—
1736C22⋊C4—114no—
1737C22⋊C4—114no—
1738C22⋊C4—114no—
1739C22⋊C4C23×D1114yes—
1740C22⋊C4C23×D1114yes—
1741C22⋊C4C23×D1114yes—
1742C22⋊C4C23×D1114yes—
1743C22⋊C4C23×D1114yes—
1744C22⋊C4C23×D1114yes—
1745C22⋊C4C23×D1114yes—
1746C22⋊C4C23×D1114yes—
1747C22⋊C4C23×D1114yes—
1748C22⋊C4C23×D1114yes—
1749C22⋊C4C23×D1114yes—
1750C22⋊C4C23×D1114yes—
1751C42—114no—
1752C42—114no—
1753C42—114no—
1754C42—114no—
1755C42—114no—
1756C42—114no—
1757C42—114no—
1758C42—114no—
1759C42—114no—
1760C42C23×D1114yes—
1761C11C2×#353511yescharacteristic, complemented, Sylow
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—22no—
1771C23—22no—
1772C23—22no—
1773C23—22no—
1774C23—114no—
1775C23—114no—
1776C23—112no—
1777C23—112no—
1778C23—112no—
1779C23—228no—
1780C23—228no—
1781C23—228no—
1782C23—222no—
1783C23—222no—
1784C23—222no—
1785C23—222no—
1786C23—222no—
1787C23—222no—
1788C23—222no—
1789C23—444no—
1790C23—444no—
1791C23—444no—
1792C23—4416no—
1793C23—888no—
1794C23C24×D1112yes—
1795C23C24×D1112yes—
1796C23C24×D1112yes—
1797C23C24×D1112yes—
1798C23C24×D1111yescharacteristic
1799Q8—44no—
1800Q8—44no—
1801Q8—444no—
1802Q8—444no—
1803Q8—444no—
1804Q8—444no—
1805Q8—444no—
1806Q8—444no—
1807Q8—444no—
1808D4—44no—
1809D4—44no—
1810D4—44no—
1811D4—44no—
1812D4—44no—
1813D4—44no—
1814D4—228no—
1815D4—228no—
1816D4—228no—
1817D4—228no—
1818D4—228no—
1819D4—228no—
1820D4—444no—
1821D4—444no—
1822D4—444no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—112no—
1839C2×C4—112no—
1840C2×C4—112no—
1841C2×C4—112no—
1842C2×C4—112no—
1843C2×C4—112no—
1844C2×C4—112no—
1845C2×C4—112no—
1846C2×C4—112no—
1847C2×C4—112no—
1848C2×C4—112no—
1849C2×C4—112no—
1850C2×C4—112no—
1851C2×C4—228no—
1852C2×C4—228no—
1853C2×C4—228no—
1854C2×C4—228no—
1855C2×C4—228no—
1856C2×C4—222no—
1857C2×C4—222no—
1858C2×C4—222no—
1859C2×C4—222no—
1860C2×C4—222no—
1861C2×C4—222no—
1862C2×C4—222no—
1863C2×C4—222no—
1864C2×C4—222no—
1865C2×C4—222no—
1866C2×C4—222no—
1867C2×C4—222no—
1868C2×C4—222no—
1869C2×C4—444no—
1870C2×C4—444no—
1871C2×C4—444no—
1872C2×C4—444no—
1873C2×C4—444no—
1874C2×C4—444no—
1875C2×C4—444no—
1876C2×C4—444no—
1877C2×C4—444no—
1878C2×C4—444no—
1879C2×C4—444no—
1880C2×C4—444no—
1881C2×C4—444no—
1882C2×C4—444no—
1883C2×C4C24×D1112yes—
1884C2×C4C24×D1112yes—
1885C2×C4C24×D1112yes—
1886C2×C4C24×D1112yes—
1887C2×C4C24×D1112yes—
1888C2×C4C24×D1112yes—
1889C2×C4C24×D1112yes—
1890C2×C4C24×D1112yes—
1891C2×C4C24×D1112yes—
1892C2×C4C24×D1112yes—
1893C2×C4C24×D1112yes—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—44no—
1907C22—44no—
1908C22—44no—
1909C22—44no—
1910C22—114no—
1911C22—114no—
1912C22—222no—
1913C22—222no—
1914C22—222no—
1915C22—222no—
1916C22—228no—
1917C22—228no—
1918C22—222no—
1919C22—222no—
1920C22—222no—
1921C22—4416no—
1922C22—444no—
1923C22—888no—
1924C22D11×H(5,𝔽2)12yes—
1925C22#1062345512yes—
1926C22D11×2−1+412yes—
1927C22C25×D1111yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—222no—
1940C4—222no—
1941C4—222no—
1942C4—222no—
1943C4—222no—
1944C4—222no—
1945C4—222no—
1946C4—222no—
1947C4—222no—
1948C4—222no—
1949C4—222no—
1950C4—222no—
1951C4—222no—
1952C2—42no—
1953C2—42no—
1954C2—42no—
1955C2—42no—
1956C2—224no—
1957C2—224no—
1958C2—442no—
1959C2#1308281614yesdirect product factor
1960C2C2×D11×H(5,𝔽2)11yescharacteristic
1961C2C2×D11×2−1+411yescharacteristic
1962C2C2×#1062345511yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#562C2
socleC23×C11C25
hypercenterC2×#562D11
hypocenterC11C2×#3535
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#562

Complements

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

NH ≅ G/Ntype
1. #13082816C2direct (N × H)
2. C2×#10623182C2semidirect
3. C2×#10623177C2semidirect
4. C2×#10623152C2semidirect
5. C2×#10623166C2semidirect
6. C2×#10623167C2semidirect
7. C2×#10623170C2semidirect
8. C2×#10623224C2semidirect
9. C2×#10623210C2semidirect
10. C2×#10623210C2semidirect
11. C2×#10623190C2semidirect
12. C2×#10623189C2semidirect
13. C2×#10623142C2semidirect
14. C2×#10623186C2semidirect
15. C2×#10623143C2semidirect
16. C2×#10623141C2semidirect
17. C2×#10623220C2semidirect
18. C2×#10623165C2semidirect
19. C2×#10623213C2semidirect
20. C2×#10623134C2semidirect
21. C2×#10623169C2semidirect
22. C2×#10623133C2semidirect
23. C2×#10623196C2semidirect
24. C2×#10623191C2semidirect
25. C2×#10623191C2semidirect
26. C2×#10623144C2semidirect
27. C2×#10623159C2semidirect
28. C2×#10623206C2semidirect
29. C2×#10623137C2semidirect
30. C2×D11×#123C2semidirect
31. C2×D11×C22⋊Q8C2semidirect
32. C2×C11×#562C2semidirect
33. C22×Q8×D11C22semidirect
35. C22×#4341C22semidirect
39. C11×#562C22semidirect
40. C2×C11×#125C22semidirect
41. C2×C11×#124C22semidirect
42. C2×C11×#124C22semidirect
44. C2×C11×#123C22semidirect
45. C2×C11×#123C22semidirect
46. C2×C11×#123C22semidirect
47. C2×C11×C22⋊Q8C22semidirect
48. C2×C11×C22⋊Q8C22semidirect
49. C2×C11×C22⋊Q8C22semidirect
50. C2×C11×C22⋊Q8C22semidirect
53. C2×C11×#121C22semidirect
54. C2×C11×#121C22semidirect
57. C2×#66999C22semidirect
58. C2×#66999C22semidirect
59. C2×#66999C22semidirect
60. C2×Q8×Dic11C22semidirect
61. C2×#66997C22semidirect
63. C2×#66992C22semidirect
72. C2×#66989C22semidirect
73. C2×#66989C22semidirect
76. C2×#66988C22semidirect
77. C2×#66988C22semidirect
78. C2×#66988C22semidirect
79. C2×#66988C22semidirect
80. C2×D4×Dic11C22semidirect
81. C2×D4×Dic11C22semidirect
82. C2×D4×Dic11C22semidirect
84. C2×#66982C22semidirect
88. C2×C4×C22⋊D11C22semidirect
90. C2×#66979C22semidirect
91. C22×C4⋊Dic11C22semidirect
92. C2×#66977C22semidirect
93. C2×#66977C22semidirect
94. C2×#66977C22semidirect
95. C2×#66977C22semidirect
96. C22×Dic11⋊C4C22semidirect
97. #10623224C22semidirect
98. #10623220C22semidirect
99. #10623213C22semidirect
100. #10623210C22semidirect
101. #10623210C22semidirect
102. #10623206C22semidirect
103. #10623196C22semidirect
104. #10623191C22semidirect
105. #10623191C22semidirect
106. #10623190C22semidirect
107. #10623189C22semidirect
108. #10623186C22semidirect
109. D11×#123C22semidirect
110. #10623182C22semidirect
111. #10623177C22semidirect
112. #10623170C22semidirect
113. #10623169C22semidirect
114. #10623167C22semidirect
115. #10623166C22semidirect
116. #10623165C22semidirect
117. #10623159C22semidirect
118. D11×C22⋊Q8C22semidirect
119. #10623152C22semidirect
120. #10623144C22semidirect
121. #10623143C22semidirect
122. #10623142C22semidirect
123. #10623141C22semidirect
124. #10623137C22semidirect
125. #10623134C22semidirect
126. #10623133C22semidirect
127. C2×#66951C22semidirect
128. C2×#66951C22semidirect
129. C2×#66951C22semidirect
133. C2×#66950C22semidirect
138. C2×#66949C22semidirect
139. C2×#66949C22semidirect
140. C2×#66949C22semidirect
146. C2×#66945C22semidirect
147. C2×#66945C22semidirect
150. C2×C4⋊C4×D11C22semidirect
151. C2×C4⋊C4×D11C22semidirect
152. C2×C4⋊C4×D11C22semidirect
153. C2×#66943C22semidirect
154. C2×#66943C22semidirect
155. C2×#66942C22semidirect
156. C2×#66942C22semidirect
157. C2×#66942C22semidirect
158. C2×#66942C22semidirect
159. C2×#66942C22semidirect
160. C2×#66942C22semidirect
161. C2×#66942C22semidirect
162. C2×#66941C22semidirect
163. C2×#66941C22semidirect
164. C2×#66941C22semidirect
165. C2×#66941C22semidirect
166. C2×#66940C22semidirect
168. C2×#66939C22semidirect
170. C2×#66938C22semidirect
171. C2×#66938C22semidirect
179. C2×#66936C22semidirect
180. C2×#66936C22semidirect
181. C2×#66936C22semidirect
182. C2×#66936C22semidirect
183. C2×#66936C22semidirect
188. C2×(C22⋊D11)⋊C4C22semidirect
189. C2×(C22⋊D11)⋊C4C22semidirect
196. C2×#66932C22semidirect
197. C2×#66932C22semidirect
198. C2×#66932C22semidirect
199. C2×#66932C22semidirect
200. C2×#66932C22semidirect
201. C2×#66932C22semidirect
202. C2×#66932C22semidirect
203. C2×#66932C22semidirect
204. C2×#66932C22semidirect
205. C2×#66931C22semidirect
206. C2×#66931C22semidirect
207. C2×#66931C22semidirect
208. C2×#66931C22semidirect
209. C2×#66931C22semidirect
210. C2×#66931C22semidirect
211. C2×#66931C22semidirect
212. C2×#66931C22semidirect
213. C2×#66931C22semidirect
214. C2×#66931C22semidirect
216. C2×#66925C22semidirect
217. C2×#66925C22semidirect
218. C2×#66922C22semidirect
248. C2×Q8×D11C23semidirect
252. C2×#4341C23semidirect
280. C11×#125C23semidirect
281. C11×#124C23semidirect
282. C11×#124C23semidirect
284. C11×#123C23semidirect
285. C11×#123C23semidirect
286. C11×#123C23semidirect
287. C11×C22⋊Q8C23semidirect
288. C11×C22⋊Q8C23semidirect
289. C11×C22⋊Q8C23semidirect
290. C11×C22⋊Q8C23semidirect
293. C11×#121C23semidirect
294. C11×#121C23semidirect
336. #66999C23semidirect
337. #66999C23semidirect
338. #66999C23semidirect
339. Q8×Dic11C23semidirect
340. #66997C23semidirect
342. #66992C23semidirect
351. #66989C23semidirect
352. #66989C23semidirect
355. #66988C23semidirect
356. #66988C23semidirect
357. #66988C23semidirect
358. #66988C23semidirect
359. D4×Dic11C23semidirect
360. D4×Dic11C23semidirect
361. D4×Dic11C23semidirect
363. #66982C23semidirect
367. C4×C22⋊D11C23semidirect
387. #66979C23semidirect
402. C2×C4⋊Dic11C23semidirect
403. #66977C23semidirect
404. #66977C23semidirect
405. #66977C23semidirect
406. #66977C23semidirect
433. C2×Dic11⋊C4C23semidirect
443. #66951C23semidirect
444. #66951C23semidirect
445. #66951C23semidirect
449. #66950C23semidirect
454. #66949C23semidirect
455. #66949C23semidirect
456. #66949C23semidirect
462. #66945C23semidirect
463. #66945C23semidirect
466. C4⋊C4×D11C23semidirect
467. C4⋊C4×D11C23semidirect
468. C4⋊C4×D11C23semidirect
469. #66943C23semidirect
470. #66943C23semidirect
471. #66942C23semidirect
472. #66942C23semidirect
473. #66942C23semidirect
474. #66942C23semidirect
475. #66942C23semidirect
476. #66942C23semidirect
477. #66942C23semidirect
478. #66941C23semidirect
479. #66941C23semidirect
480. #66941C23semidirect
481. #66941C23semidirect
482. #66940C23semidirect
484. #66939C23semidirect
486. #66938C23semidirect
487. #66938C23semidirect
495. #66936C23semidirect
496. #66936C23semidirect
497. #66936C23semidirect
498. #66936C23semidirect
499. #66936C23semidirect
504. (C22⋊D11)⋊C4C23semidirect
505. (C22⋊D11)⋊C4C23semidirect
512. #66932C23semidirect
513. #66932C23semidirect
514. #66932C23semidirect
515. #66932C23semidirect
516. #66932C23semidirect
517. #66932C23semidirect
518. #66932C23semidirect
519. #66932C23semidirect
520. #66932C23semidirect
521. #66931C23semidirect
522. #66931C23semidirect
523. #66931C23semidirect
524. #66931C23semidirect
525. #66931C23semidirect
526. #66931C23semidirect
527. #66931C23semidirect
528. #66931C23semidirect
529. #66931C23semidirect
530. #66931C23semidirect
532. #66925C23semidirect
533. #66925C23semidirect
534. #66922C23semidirect
785. C2×#562D11semidirect
954. #562C2×D11semidirect
1006. C2×#125C2×D11semidirect
1013. C2×#124C2×D11semidirect
1014. C2×#124C2×D11semidirect
1042. C2×#123C2×D11semidirect
1043. C2×#123C2×D11semidirect
1044. C2×#123C2×D11semidirect
1076. C2×C22⋊Q8C2×D11semidirect
1077. C2×C22⋊Q8C2×D11semidirect
1078. C2×C22⋊Q8C2×D11semidirect
1079. C2×C22⋊Q8C2×D11semidirect
1088. C2×#121C2×D11semidirect
1089. C2×#121C2×D11semidirect
1277. #125C22×D11semidirect
1284. #124C22×D11semidirect
1285. #124C22×D11semidirect
1311. #123C22×D11semidirect
1312. #123C22×D11semidirect
1313. #123C22×D11semidirect
1344. C22⋊Q8C22×D11semidirect
1345. C22⋊Q8C22×D11semidirect
1346. C22⋊Q8C22×D11semidirect
1347. C22⋊Q8C22×D11semidirect
1356. #121C22×D11semidirect
1357. #121C22×D11semidirect
1509. C2×C11#3535semidirect
1761. C11C2×#3535semidirect
1959. C2#13082816direct (N × H)

Maximal subgroups

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

subgroupindex
#130828162
C2×#106231822
C2×#106231772
C2×#106231522
C2×#106231662
C2×#106231672
C2×#106231702
C2×#106232242
C2×#106232102
C2×#106231902
C2×#106231892
C2×#106231422
C2×#106231862
C2×#106231432
C2×#106231412
C2×#106232202
C2×#106231652
C2×#106232132
C2×#106231342
C2×#106231692
C2×#106231332
C2×#106231962
C2×#106231912
C2×#106231442
C2×#106231592
C2×#106232062
C2×#106231372
C2×D11×#1232
C2×D11×C22⋊Q82
C2×C11×#5622
C2×#353511