Finite Group Databasebeta

← C2×#13082818 #15660967

Subgroups — C2×#13082818 #15660967

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#13082818C2132yesmaximal, direct product factor
2C2×#10623243C211yesmaximal, characteristic, complemented
3C2×#10623203C211yesmaximal, characteristic, complemented
4C2×#10623152C211yesmaximal, characteristic, complemented
5C2×#10623215C211yesmaximal, characteristic, complemented
6C2×#10623110C211yesmaximal, characteristic, complemented
7C2×#10623167C211yesmaximal, characteristic, complemented
8C2×#10623112C211yesmaximal, characteristic, complemented
9C2×#10623060C211yesmaximal, characteristic, complemented
10C2×#10623210C211yesmaximal, characteristic, complemented
11C2×#10623190C211yesmaximal, characteristic, complemented
12C2×#10623236C211yesmaximal, characteristic, complemented
13C2×#10623058C211yesmaximal, characteristic, complemented
14C2×#10623162C211yesmaximal, characteristic, complemented
15C2×#10623186C211yesmaximal, characteristic, complemented
16C2×#10623207C211yesmaximal, characteristic, complemented
17C2×#10623141C211yesmaximal, characteristic, complemented
18C2×#10623260C211yesmaximal, characteristic, complemented
19C2×#10623165C211yesmaximal, characteristic, complemented
20C2×#10623171C211yesmaximal, characteristic, complemented
21C2×#10623169C211yesmaximal, characteristic, complemented
22C2×#10623191C211yesmaximal, characteristic, complemented
23C2×#10623095C211yesmaximal, characteristic, complemented
24C2×#10623238C211yesmaximal, characteristic, complemented
25C2×#10623238C211yesmaximal, characteristic, complemented
26C2×#10623209C211yesmaximal, characteristic, complemented
27C2×#10623255C211yesmaximal, characteristic, complemented
28C2×#10623206C211yesmaximal, characteristic, complemented
29C2×#10623078C211yesmaximal, characteristic, complemented
30C2×D11×#123C211yesmaximal, characteristic, complemented
31C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
32C2×C11×#542C211yesmaximal, characteristic, complemented
33C22×#4343C2211yescharacteristic
34C22×Q8×D11C2211yescharacteristic, complemented
35C22×#4341C2211yescharacteristic
36C22×D4×D11C2211yescharacteristic
37C22×#4339C2211yescharacteristic, complemented
38C23×C4×D11C2211yescharacteristic
39C11×#542C22116yescomplemented
40C2×C11×C4⋊Q8C2211yescharacteristic, complemented
41C2×C11×#126C2211yescharacteristic, complemented
42C2×C11×#126C2211yescharacteristic, complemented
43C2×C11×#124C2211yescharacteristic
44C2×C11×#124C2211yescharacteristic, complemented
45C2×C11×#124C2211yescharacteristic, complemented
46C2×C11×#123C2211yescharacteristic
47C2×C11×#123C2211yescharacteristic, complemented
48C2×C11×C22⋊Q8C2211yescharacteristic, complemented
49C2×C11×C22⋊Q8C2211yescharacteristic, complemented
50C2×C11×C22⋊Q8C2211yescharacteristic, complemented
51C2×C11×#121C2211yescharacteristic
52C2×C4×Q8×C11C2211yescharacteristic, complemented
53C2×C4×D4×C11C2211yescharacteristic, complemented
54C2×C11×#117C2211yescharacteristic, complemented
55C2×#67000C2211yescharacteristic, complemented
56C2×#66999C2211yescharacteristic
57C2×#66999C2211yescharacteristic
58C2×#66999C2211yescharacteristic
59C2×#66999C2211yescharacteristic, complemented
60C2×#66999C2211yescharacteristic, complemented
61C2×#66999C2211yescharacteristic, complemented
62C2×#66997C2211yescharacteristic, complemented
63C2×#66997C2211yescharacteristic, complemented
64C2×#66997C2211yescharacteristic, complemented
65C2×#66992C2211yescharacteristic
66C2×#66992C2211yescharacteristic, complemented
67C2×#66992C2211yescharacteristic, complemented
68C2×#66991C2211yescharacteristic
69C2×#66990C2211yescharacteristic
70C2×#66990C2211yescharacteristic
71C2×#66989C2211yescharacteristic, complemented
72C2×#66988C2211yescharacteristic
73C2×#66988C2211yescharacteristic
74C2×#66988C2211yescharacteristic, complemented
75C2×#66982C2211yescharacteristic
76C2×#66982C2211yescharacteristic, complemented
77C2×C4×C22⋊D11C2211yescharacteristic
78C2×C4×C22⋊D11C2211yescharacteristic
79C2×C4×C22⋊D11C2211yescharacteristic, complemented
80C2×C4×C22⋊D11C2211yescharacteristic, complemented
81C22×(C2×D11)⋊C4C2211yescharacteristic
82C2×#66977C2211yescharacteristic, complemented
83C2×#66977C2211yescharacteristic, complemented
84C22×Dic11⋊C4C2211yescharacteristic, complemented
85#10623260C22116yescomplemented
86#10623255C22116yescomplemented
87#10623243C22116yescomplemented
88#10623238C22116yescomplemented
89#10623238C22116yescomplemented
90#10623236C22116yescomplemented
91#10623215C22116yescomplemented
92#10623210C22116yescomplemented
93#10623209C22116yescomplemented
94#10623207C22116yescomplemented
95#10623206C22116yescomplemented
96#10623203C22116yescomplemented
97#10623191C22116yescomplemented
98#10623190C22116yescomplemented
99#10623186C22116yescomplemented
100D11×#123C22116yescomplemented
101#10623171C22116yescomplemented
102#10623169C22116yescomplemented
103#10623167C22116yescomplemented
104#10623165C22116yescomplemented
105#10623162C22116yescomplemented
106D11×C22⋊Q8C22116yescomplemented
107#10623152C22116yescomplemented
108#10623141C22116yescomplemented
109#10623112C22116yescomplemented
110#10623110C22116yescomplemented
111#10623095C22116yescomplemented
112#10623078C22116yescomplemented
113#10623060C22116yescomplemented
114#10623058C22116yescomplemented
115C2×#66951C2211yescharacteristic, complemented
116C2×#66951C2211yescharacteristic, complemented
117C2×#66950C2211yescharacteristic
118C2×#66950C2211yescharacteristic, complemented
119C2×#66950C2211yescharacteristic, complemented
120C2×#66949C2211yescharacteristic
121C2×#66949C2211yescharacteristic
122C2×#66949C2211yescharacteristic
123C2×#66949C2211yescharacteristic
124C2×#66949C2211yescharacteristic
125C2×#66949C2211yescharacteristic, complemented
126C2×#66949C2211yescharacteristic, complemented
127C2×#66949C2211yescharacteristic, complemented
128C2×#66949C2211yescharacteristic, complemented
129C2×#66949C2211yescharacteristic, complemented
130C2×#66949C2211yescharacteristic, complemented
131C2×#66947C2211yescharacteristic
132C2×#66947C2211yescharacteristic
133C2×#66947C2211yescharacteristic
134C2×#66947C2211yescharacteristic
135C2×#66947C2211yescharacteristic, complemented
136C2×#66947C2211yescharacteristic, complemented
137C2×#66947C2211yescharacteristic, complemented
138C2×#66946C2211yescharacteristic, complemented
139C2×#66945C2211yescharacteristic
140C2×#66945C2211yescharacteristic, complemented
141C2×C4⋊C4×D11C2211yescharacteristic
142C2×C4⋊C4×D11C2211yescharacteristic
143C2×C4⋊C4×D11C2211yescharacteristic, complemented
144C2×C4⋊C4×D11C2211yescharacteristic, complemented
145C2×C4⋊C4×D11C2211yescharacteristic, complemented
146C2×C4⋊C4×D11C2211yescharacteristic, complemented
147C2×#66943C2211yescharacteristic, complemented
148C2×#66943C2211yescharacteristic, complemented
149C2×#66942C2211yescharacteristic, complemented
150C2×#66942C2211yescharacteristic, complemented
151C2×#66942C2211yescharacteristic, complemented
152C2×#66942C2211yescharacteristic, complemented
153C2×#66941C2211yescharacteristic, complemented
154C2×#66940C2211yescharacteristic, complemented
155C2×#66939C2211yescharacteristic
156C2×#66939C2211yescharacteristic, complemented
157C2×#66939C2211yescharacteristic, complemented
158C2×#66938C2211yescharacteristic
159C2×#66938C2211yescharacteristic, complemented
160C2×#66937C2211yescharacteristic
161C2×#66937C2211yescharacteristic
162C2×#66937C2211yescharacteristic
163C2×#66937C2211yescharacteristic
164C2×#66937C2211yescharacteristic, complemented
165C2×#66936C2211yescharacteristic
166C2×#66936C2211yescharacteristic
167C2×#66936C2211yescharacteristic
168C2×#66936C2211yescharacteristic
169C2×#66936C2211yescharacteristic
170C2×#66936C2211yescharacteristic, complemented
171C2×#66936C2211yescharacteristic, complemented
172C2×#66936C2211yescharacteristic, complemented
173C2×#66936C2211yescharacteristic, complemented
174C2×#66936C2211yescharacteristic, complemented
175C2×#66936C2211yescharacteristic, complemented
176C2×#66935C2211yescharacteristic
177C2×#66935C2211yescharacteristic
178C2×(C22⋊D11)⋊C4C2211yescharacteristic
179C2×(C22⋊D11)⋊C4C2211yescharacteristic
180C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
181C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
182C2×C22⋊C4×D11C2211yescharacteristic
183C2×C22⋊C4×D11C2211yescharacteristic
184C2×C22⋊C4×D11C2211yescharacteristic
185C2×C22⋊C4×D11C2211yescharacteristic
186C2×C22⋊C4×D11C2211yescharacteristic
187C2×C22⋊C4×D11C2211yescharacteristic
188C2×#66932C2211yescharacteristic, complemented
189C2×#66932C2211yescharacteristic, complemented
190C2×#66932C2211yescharacteristic, complemented
191C2×#66932C2211yescharacteristic, complemented
192C2×#66932C2211yescharacteristic, complemented
193C2×#66932C2211yescharacteristic, complemented
194C2×#66931C2211yescharacteristic, complemented
195C2×#66931C2211yescharacteristic, complemented
196C2×#66931C2211yescharacteristic, complemented
197C2×#66931C2211yescharacteristic, complemented
198C2×#66931C2211yescharacteristic, complemented
199C2×#66931C2211yescharacteristic, complemented
200C2×#66931C2211yescharacteristic, complemented
201C2×#66931C2211yescharacteristic, complemented
202C2×#66931C2211yescharacteristic, complemented
203C2×#66929C2211yescharacteristic, complemented
204C2×#66929C2211yescharacteristic, complemented
205C2×#66928C2211yescharacteristic, complemented
206C2×C4×D44C2211yescharacteristic
207C2×C4×D44C2211yescharacteristic
208C2×C4×D44C2211yescharacteristic
209C2×C4×D44C2211yescharacteristic
210C2×#66925C2211yescharacteristic
211C2×#66925C2211yescharacteristic, complemented
212C2×#66925C2211yescharacteristic, complemented
213C2×#66925C2211yescharacteristic, complemented
214C2×#66923C2211yescharacteristic, complemented
215C2×#66923C2211yescharacteristic, complemented
216C2×#66923C2211yescharacteristic, complemented
217C2×#66923C2211yescharacteristic, complemented
218C2×#66922C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C22×Q8×C11C2311yescharacteristic
222C22×Q8×C11C2311yescharacteristic
223C22×Q8×C11C2311yescharacteristic
224C22×D4×C11C2311yescharacteristic
225C22×D4×C11C2311yescharacteristic
226C22×D4×C11C2311yescharacteristic
227C23×C4×C11C2311yescharacteristic
228C23×C4×C11C2311yescharacteristic
229C23×C4×C11C2311yescharacteristic
230C22×C22⋊D11C2311yescharacteristic
231C22×C22⋊D11C2311yescharacteristic
232C22×C22⋊D11C2311yescharacteristic
233C22×C22⋊D11C2311yescharacteristic
234C22×C22⋊D11C2311yescharacteristic
235C22×C22⋊D11C2311yescharacteristic
236C22×C22⋊D11C2311yescharacteristic
237C22×C22⋊D11C2311yescharacteristic
238C23×Dic11C2311yescharacteristic
239C23×Dic11C2311yescharacteristic
240C23×Dic11C2311yescharacteristic
241C23×Dic11C2311yescharacteristic
242C2×#4343—44no—
243C2×#4343C2318yes—
244C2×Q8×D11—44no—
245C2×Q8×D11C2318yescomplemented
246C2×#4341—44no—
247C2×#4341C2318yes—
248C2×D4×D11—44no—
249C2×D4×D11C2318yes—
250C2×#4339—44no—
251C2×#4339C2318yescomplemented
252C22×D44C2311yescharacteristic
253C22×D44C2311yescharacteristic
254C22×D44C2311yescharacteristic
255C22×D44C2311yescharacteristic
256C22×C4×D11—44no—
257C22×C4×D11C2311yescharacteristic
258C22×C4×D11C2311yescharacteristic
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×D11C2311yescharacteristic
273C22×C4×D11C2318yes—
274C22×Dic22C2311yescharacteristic
275C22×Dic22C2311yescharacteristic
276C22×Dic22C2311yescharacteristic
277C22×Dic22C2311yescharacteristic
278C22×Dic22C2311yescharacteristic
279C22×Dic22C2311yescharacteristic
280C11×C4⋊Q8C2318yescomplemented
281C11×#126C2318yescomplemented
282C11×#126C2318yescomplemented
283C11×#124C2318yes—
284C11×#124C2318yescomplemented
285C11×#124C2318yescomplemented
286C11×#123C2318yes—
287C11×#123C2318yescomplemented
288C11×C22⋊Q8C2318yescomplemented
289C11×C22⋊Q8C2318yescomplemented
290C11×C22⋊Q8C2318yescomplemented
291C11×#121C2318yes—
292C4×Q8×C11C2318yescomplemented
293C4×D4×C11C2318yescomplemented
294C11×#117C2318yescomplemented
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×C42×C11C2311yescharacteristic
319C2×C42×C11C2311yescharacteristic
320C2×C42×C11C2311yescharacteristic
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
331#67000C2318yescomplemented
332#66999C2318yes—
333#66999C2318yes—
334#66999C2318yes—
335#66999C2318yescomplemented
336#66999C2318yescomplemented
337#66999C2318yescomplemented
338#66997C2318yescomplemented
339#66997C2318yescomplemented
340#66997C2318yescomplemented
341#66992C2318yes—
342#66992C2318yescomplemented
343#66992C2318yescomplemented
344#66991C2318yes—
345#66990C2318yes—
346#66990C2318yes—
347#66989C2318yescomplemented
348#66988C2318yes—
349#66988C2318yes—
350#66988C2318yescomplemented
351#66982C2318yes—
352#66982C2318yescomplemented
353C4×C22⋊D11C2318yes—
354C4×C22⋊D11C2318yes—
355C4×C22⋊D11C2318yescomplemented
356C4×C22⋊D11C2318yescomplemented
357C2×(C2×D11)⋊C4C2311yescharacteristic
358C2×(C2×D11)⋊C4C2311yescharacteristic
359C2×(C2×D11)⋊C4C2311yescharacteristic
360C2×(C2×D11)⋊C4C2311yescharacteristic
361C2×(C2×D11)⋊C4C2311yescharacteristic
362C2×(C2×D11)⋊C4C2311yescharacteristic
363C2×(C2×D11)⋊C4C2311yescharacteristic
364C2×(C2×D11)⋊C4C2311yescharacteristic
365C2×(C2×D11)⋊C4C2311yescharacteristic
366C2×(C2×D11)⋊C4C2311yescharacteristic
367C2×(C2×D11)⋊C4C2311yescharacteristic
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)⋊C4C2318yes—
382C2×C4⋊Dic11C2311yescharacteristic
383C2×C4⋊Dic11C2311yescharacteristic
384C2×C4⋊Dic11C2311yescharacteristic
385C2×C4⋊Dic11C2311yescharacteristic
386C2×C4⋊Dic11C2311yescharacteristic
387C2×C4⋊Dic11C2311yescharacteristic
388C2×C4⋊Dic11C2311yescharacteristic
389C2×C4⋊Dic11C2311yescharacteristic
390C2×C4⋊Dic11C2311yescharacteristic
391C2×C4⋊Dic11C2311yescharacteristic
392C2×C4⋊Dic11C2311yescharacteristic
393C2×C4⋊Dic11C2311yescharacteristic
394#66977C2318yescomplemented
395#66977C2318yescomplemented
396C2×Dic11⋊C4C2311yescharacteristic
397C2×Dic11⋊C4C2311yescharacteristic
398C2×Dic11⋊C4C2311yescharacteristic
399C2×Dic11⋊C4C2311yescharacteristic
400C2×Dic11⋊C4C2311yescharacteristic
401C2×Dic11⋊C4C2311yescharacteristic
402C2×Dic11⋊C4C2311yescharacteristic
403C2×Dic11⋊C4C2311yescharacteristic
404C2×Dic11⋊C4C2311yescharacteristic
405C2×Dic11⋊C4C2311yescharacteristic
406C2×Dic11⋊C4C2311yescharacteristic
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⋊C4C2318yescomplemented
425C2×C4×Dic11C2311yescharacteristic
426C2×C4×Dic11C2311yescharacteristic
427C2×C4×Dic11C2311yescharacteristic
428C2×C4×Dic11C2311yescharacteristic
429C2×C4×Dic11C2311yescharacteristic
430C2×C4×Dic11C2311yescharacteristic
431#66951C2318yescomplemented
432#66951C2318yescomplemented
433#66950C2318yes—
434#66950C2318yescomplemented
435#66950C2318yescomplemented
436#66949C2318yes—
437#66949C2318yes—
438#66949C2318yes—
439#66949C2318yes—
440#66949C2318yes—
441#66949C2318yescomplemented
442#66949C2318yescomplemented
443#66949C2318yescomplemented
444#66949C2318yescomplemented
445#66949C2318yescomplemented
446#66949C2318yescomplemented
447#66947C2318yes—
448#66947C2318yes—
449#66947C2318yes—
450#66947C2318yes—
451#66947C2318yescomplemented
452#66947C2318yescomplemented
453#66947C2318yescomplemented
454#66946C2318yescomplemented
455#66945C2318yes—
456#66945C2318yescomplemented
457C4⋊C4×D11C2318yes—
458C4⋊C4×D11C2318yes—
459C4⋊C4×D11C2318yescomplemented
460C4⋊C4×D11C2318yescomplemented
461C4⋊C4×D11C2318yescomplemented
462C4⋊C4×D11C2318yescomplemented
463#66943C2318yescomplemented
464#66943C2318yescomplemented
465#66942C2318yescomplemented
466#66942C2318yescomplemented
467#66942C2318yescomplemented
468#66942C2318yescomplemented
469#66941C2318yescomplemented
470#66940C2318yescomplemented
471#66939C2318yes—
472#66939C2318yescomplemented
473#66939C2318yescomplemented
474#66938C2318yes—
475#66938C2318yescomplemented
476#66937C2318yes—
477#66937C2318yes—
478#66937C2318yes—
479#66937C2318yes—
480#66937C2318yescomplemented
481#66936C2318yes—
482#66936C2318yes—
483#66936C2318yes—
484#66936C2318yes—
485#66936C2318yes—
486#66936C2318yescomplemented
487#66936C2318yescomplemented
488#66936C2318yescomplemented
489#66936C2318yescomplemented
490#66936C2318yescomplemented
491#66936C2318yescomplemented
492#66935C2318yes—
493#66935C2318yes—
494(C22⋊D11)⋊C4C2318yes—
495(C22⋊D11)⋊C4C2318yes—
496(C22⋊D11)⋊C4C2318yescomplemented
497(C22⋊D11)⋊C4C2318yescomplemented
498C22⋊C4×D11C2318yes—
499C22⋊C4×D11C2318yes—
500C22⋊C4×D11C2318yes—
501C22⋊C4×D11C2318yes—
502C22⋊C4×D11C2318yes—
503C22⋊C4×D11C2318yes—
504#66932C2318yescomplemented
505#66932C2318yescomplemented
506#66932C2318yescomplemented
507#66932C2318yescomplemented
508#66932C2318yescomplemented
509#66932C2318yescomplemented
510#66931C2318yescomplemented
511#66931C2318yescomplemented
512#66931C2318yescomplemented
513#66931C2318yescomplemented
514#66931C2318yescomplemented
515#66931C2318yescomplemented
516#66931C2318yescomplemented
517#66931C2318yescomplemented
518#66931C2318yescomplemented
519#66929C2318yescomplemented
520#66929C2318yescomplemented
521#66928C2318yescomplemented
522C4×D44C2318yes—
523C4×D44C2318yes—
524C4×D44C2318yes—
525C4×D44C2318yes—
526#66925C2318yes—
527#66925C2318yescomplemented
528#66925C2318yescomplemented
529#66925C2318yescomplemented
530#66923C2318yescomplemented
531#66923C2318yescomplemented
532#66923C2318yescomplemented
533#66923C2318yescomplemented
534#66922C2318yescomplemented
535C2×#3535—111nomaximal, Sylow
536C24×C11C2411yescharacteristic
537C24×C11C2411yescharacteristic
538C24×C11C2411yescharacteristic
539C23×D11—24no—
540C23×D11—24no—
541C23×D11—24no—
542C23×D11—42no—
543C23×D11—42no—
544C23×D11—42no—
545C23×D11C2411yescharacteristic
546C23×D11C2411yescharacteristic
547C23×D11C2414yes—
548C23×D11C2411yescharacteristic
549C23×D11C2411yescharacteristic
550C23×D11C2414yes—
551C2×Q8×C11—42no—
552C2×Q8×C11—42no—
553C2×Q8×C11—42no—
554C2×Q8×C11C2414yes—
555C2×Q8×C11C2414yes—
556C2×Q8×C11C2414yes—
557C2×D4×C11—42no—
558C2×D4×C11—42no—
559C2×D4×C11—42no—
560C2×D4×C11C2414yes—
561C2×D4×C11C2414yes—
562C2×D4×C11C2414yes—
563C22×C4×C11—42no—
564C22×C4×C11—42no—
565C22×C4×C11—42no—
566C22×C4×C11C2411yescharacteristic
567C22×C4×C11C2411yescharacteristic
568C22×C4×C11C2411yescharacteristic
569C22×C4×C11C2411yescharacteristic
570C22×C4×C11C2411yescharacteristic
571C22×C4×C11C2411yescharacteristic
572C22×C4×C11C2411yescharacteristic
573C22×C4×C11C2411yescharacteristic
574C22×C4×C11C2411yescharacteristic
575C22×C4×C11C2411yescharacteristic
576C22×C4×C11C2411yescharacteristic
577C22×C4×C11C2411yescharacteristic
578C22×C4×C11C2414yes—
579C22×C4×C11C2414yes—
580C22×C4×C11C2414yes—
581C2×C22⋊D11—24no—
582C2×C22⋊D11—24no—
583C2×C22⋊D11—24no—
584C2×C22⋊D11—42no—
585C2×C22⋊D11—42no—
586C2×C22⋊D11—42no—
587C2×C22⋊D11—42no—
588C2×C22⋊D11—42no—
589C2×C22⋊D11C2414yes—
590C2×C22⋊D11C2414yes—
591C2×C22⋊D11C2414yes—
592C2×C22⋊D11C2414yes—
593C2×C22⋊D11C2414yes—
594C2×C22⋊D11C2414yes—
595C2×C22⋊D11C2414yes—
596C2×C22⋊D11C2414yes—
597C22×Dic11—42no—
598C22×Dic11—42no—
599C22×Dic11—42no—
600C22×Dic11—42no—
601C22×Dic11C2411yescharacteristic
602C22×Dic11C2411yescharacteristic
603C22×Dic11C2411yescharacteristic
604C22×Dic11C2411yescharacteristic
605C22×Dic11C2411yescharacteristic
606C22×Dic11C2411yescharacteristic
607C22×Dic11C2411yescharacteristic
608C22×Dic11C2411yescharacteristic
609C22×Dic11C2411yescharacteristic
610C22×Dic11C2411yescharacteristic
611C22×Dic11C2411yescharacteristic
612C22×Dic11C2411yescharacteristic
613C22×Dic11C2414yes—
614C22×Dic11C2414yes—
615C22×Dic11C2414yes—
616C22×Dic11C2414yes—
617#4343—416no—
618Q8×D11—416no—
619#4341—416no—
620D4×D11—416no—
621#4339—416no—
622C2×D44—24no—
623C2×D44—24no—
624C2×D44—24no—
625C2×D44—42no—
626C2×D44C2414yes—
627C2×D44C2414yes—
628C2×D44C2414yes—
629C2×D44C2414yes—
630C2×C4×D11—24no—
631C2×C4×D11—24no—
632C2×C4×D11—24no—
633C2×C4×D11—24no—
634C2×C4×D11—24no—
635C2×C4×D11—42no—
636C2×C4×D11—42no—
637C2×C4×D11—42no—
638C2×C4×D11—42no—
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—416no—
647C2×C4×D11C2414yes—
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×C4×D11C2414yes—
662C2×C4×D11C2414yes—
663C2×Dic22—42no—
664C2×Dic22—42no—
665C2×Dic22—42no—
666C2×Dic22—42no—
667C2×Dic22—42no—
668C2×Dic22—42no—
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—
698C42×C11C2414yes—
699C42×C11C2414yes—
700C42×C11C2414yes—
701C22⋊Dic11C2414yes—
702C22⋊Dic11C2414yes—
703C22⋊Dic11C2414yes—
704C22⋊Dic11C2414yes—
705C22⋊Dic11C2414yes—
706C22⋊Dic11C2414yes—
707C22⋊Dic11C2414yes—
708C22⋊Dic11C2414yes—
709C22⋊Dic11C2414yes—
710C22⋊Dic11C2414yes—
711(C2×D11)⋊C4C2414yes—
712(C2×D11)⋊C4C2414yes—
713(C2×D11)⋊C4C2414yes—
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—
732(C2×D11)⋊C4C2414yes—
733(C2×D11)⋊C4C2414yes—
734(C2×D11)⋊C4C2414yes—
735C4⋊Dic11C2414yes—
736C4⋊Dic11C2414yes—
737C4⋊Dic11C2414yes—
738C4⋊Dic11C2414yes—
739C4⋊Dic11C2414yes—
740C4⋊Dic11C2414yes—
741C4⋊Dic11C2414yes—
742C4⋊Dic11C2414yes—
743C4⋊Dic11C2414yes—
744C4⋊Dic11C2414yes—
745C4⋊Dic11C2414yes—
746C4⋊Dic11C2414yes—
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—
772Dic11⋊C4C2414yes—
773Dic11⋊C4C2414yes—
774Dic11⋊C4C2414yes—
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×#562—111no—
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×#542D1111yescharacteristic, complemented
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×C11C2512yes—
823C23×C11C2512yes—
824C23×C11C2512yes—
825C23×C11C2511yescharacteristic
826C22×D11—22no—
827C22×D11—22no—
828C22×D11—22no—
829C22×D11—22no—
830C22×D11—22no—
831C22×D11—22no—
832C22×D11—22no—
833C22×D11—22no—
834C22×D11—22no—
835C22×D11—22no—
836C22×D11—28no—
837C22×D11—28no—
838C22×D11—28no—
839C22×D11—44no—
840C22×D11—416no—
841C22×D11—44no—
842C22×D11—44no—
843C22×D11—88no—
844C22×D11H(5,𝔽2)14yes—
845C22×D112−1+414yes—
846C22×D11C2512yes—
847C22×D11C2512yes—
848C22×D11C2512yes—
849C22×D11C2512yes—
850Q8×C11—44no—
851Q8×C11—44no—
852Q8×C11—44no—
853D4×C11—44no—
854D4×C11—44no—
855D4×C11—44no—
856C2×C4×C11—22no—
857C2×C4×C11—22no—
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—44no—
869C2×C4×C11—44no—
870C2×C4×C11—44no—
871C2×C4×C11C2512yes—
872C2×C4×C11C2512yes—
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—
883C22⋊D11—28no—
884C22⋊D11—28no—
885C22⋊D11—28no—
886C22⋊D11—44no—
887C22⋊D11—44no—
888C22⋊D11—44no—
889C22⋊D11—44no—
890C22⋊D11—44no—
891C2×Dic11—22no—
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—44no—
904C2×Dic11—44no—
905C2×Dic11—44no—
906C2×Dic11—44no—
907C2×Dic11C2512yes—
908C2×Dic11C2512yes—
909C2×Dic11C2512yes—
910C2×Dic11C2512yes—
911C2×Dic11C2512yes—
912C2×Dic11C2512yes—
913C2×Dic11C2512yes—
914C2×Dic11C2512yes—
915C2×Dic11C2512yes—
916C2×Dic11C2512yes—
917C2×Dic11C2512yes—
918C2×Dic11C2512yes—
919D44—28no—
920D44—28no—
921D44—28no—
922D44—44no—
923C4×D11—28no—
924C4×D11—28no—
925C4×D11—28no—
926C4×D11—28no—
927C4×D11—28no—
928C4×D11—44no—
929C4×D11—44no—
930C4×D11—44no—
931C4×D11—44no—
932C4×D11—44no—
933C4×D11—44no—
934C4×D11—44no—
935C4×D11—44no—
936C4×D11—44no—
937C4×D11—44no—
938C4×D11—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#562—1116no—
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#542C2×D11116yescomplemented
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⋊Q8C2×D1111yescharacteristic, complemented
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×#126C2×D1111yescharacteristic, complemented
996C2×#126C2×D1111yescharacteristic, complemented
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×#125—111no—
1007C2×#124—111no—
1008C2×#124—111no—
1009C2×#124—111no—
1010C2×#124—111no—
1011C2×#124—111no—
1012C2×#124C2×D1111yescharacteristic
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—1116no—
1022C2×#123—111no—
1023C2×#123—111no—
1024C2×#123—111no—
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×#123—111no—
1042C2×#123—111no—
1043C2×#123C2×D1111yescharacteristic
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—1116no—
1054C2×C22⋊Q8—111no—
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⋊Q8—111no—
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×#121—111no—
1087C2×#121—111no—
1088C2×#121—111no—
1089C2×#121C2×D1111yescharacteristic
1090C2×#120—111no—
1091C2×#120—111no—
1092C2×#120—111no—
1093C2×#120—111no—
1094C2×C4×Q8—111no—
1095C2×C4×Q8C2×D1111yescharacteristic, complemented
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×D4C2×D1111yescharacteristic, complemented
1110C2×#117—111no—
1111C2×#117—111no—
1112C2×#117—111no—
1113C2×#117—111no—
1114C2×#117—111no—
1115C2×#117—111no—
1116C2×#117C2×D1111yescharacteristic, complemented
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—44no—
1141C22×C11—44no—
1142C22×C11—44no—
1143C22×C11C2×H(5,𝔽2)12yes—
1144C22×C11C2×2−1+412yes—
1145C22×C11#58512yes—
1146C22×C11C2611yescharacteristic
1147C2×D11—22no—
1148C2×D11—22no—
1149C2×D11—22no—
1150C2×D11—22no—
1151C2×D11—28no—
1152C2×D11—28no—
1153C2×D11—22no—
1154C2×D11—22no—
1155C2×D11—22no—
1156C2×D11—22no—
1157C2×D11—22no—
1158C2×D11—22no—
1159C2×D11—416no—
1160C2×D11—44no—
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—
1176C4×C11—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—444no—
1205C22×Q8C22×D1111yescharacteristic
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—111no—
1219C22×D4—111no—
1220C22×D4—111no—
1221C22×D4—444no—
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—111no—
1245C23×C4—118no—
1246C23×C4—444no—
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⋊Q8C22×D1118yescomplemented
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#126C22×D1118yescomplemented
1267#126C22×D1118yescomplemented
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#125—118no—
1278#124—118no—
1279#124—118no—
1280#124—118no—
1281#124—118no—
1282#124—118no—
1283#124C22×D1118yes—
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#123—118no—
1311#123—118no—
1312#123C22×D1118yes—
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⋊Q8—118no—
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#121—118no—
1355#121—118no—
1356#121—118no—
1357#121C22×D1118yes—
1358#120—118no—
1359#120—118no—
1360#120—118no—
1361#120—118no—
1362C4×Q8—118no—
1363C4×Q8C22×D1118yescomplemented
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×D4C22×D1118yescomplemented
1378#117—118no—
1379#117—118no—
1380#117—118no—
1381#117—118no—
1382#117—118no—
1383#117—118no—
1384#117C22×D1118yescomplemented
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—111no—
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—118no—
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—118no—
1467C2×C22⋊C4—111no—
1468C2×C22⋊C4—111no—
1469C2×C22⋊C4—111no—
1470C2×C22⋊C4—111no—
1471C2×C22⋊C4—111no—
1472C2×C22⋊C4—111no—
1473C2×C22⋊C4—111no—
1474C2×C22⋊C4—111no—
1475C2×C22⋊C4—111no—
1476C2×C22⋊C4—111no—
1477C2×C22⋊C4—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×C42C22×D1111yescharacteristic
1502C2×C42C22×D1111yescharacteristic
1503C2×C42C22×D1111yescharacteristic
1504C2×C42C22×D1111yescharacteristic
1505C2×C11—42no—
1506C2×C11—42no—
1507C2×C11—42no—
1508C2×C11#353514yescomplemented
1509C2×C11C22×H(5,𝔽2)11yescharacteristic
1510C2×C11C22×2−1+411yescharacteristic
1511C2×C11C2×#58511yescharacteristic
1512D11—24no—
1513D11—24no—
1514D11—42no—
1515D11—42no—
1516C24—111no—
1517C24—111no—
1518C24—111no—
1519C24—111no—
1520C24—114no—
1521C24—114no—
1522C24—224no—
1523C24—224no—
1524C24—224no—
1525C24—442no—
1526C24—442no—
1527C24—442no—
1528C24C23×D1111yescharacteristic
1529C24C23×D1111yescharacteristic
1530C24C23×D1111yescharacteristic
1531#41—4416no—
1532#41—4416no—
1533#41—4416no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—42no—
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—4416no—
1550C2×Q8C23×D1114yes—
1551C2×Q8C23×D1114yes—
1552C2×Q8C23×D1114yes—
1553C2×D4—42no—
1554C2×D4—42no—
1555C2×D4—42no—
1556C2×D4—114no—
1557C2×D4—114no—
1558C2×D4—114no—
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—442no—
1578C2×D4—442no—
1579C2×D4—442no—
1580C2×D4—4416no—
1581C2×D4C23×D1114yes—
1582C2×D4C23×D1114yes—
1583C2×D4C23×D1114yes—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—111no—
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—114no—
1600C22×C4—114no—
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—224no—
1620C22×C4—224no—
1621C22×C4—224no—
1622C22×C4—224no—
1623C22×C4—224no—
1624C22×C4—442no—
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—442no—
1634C22×C4—442no—
1635C22×C4—4416no—
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×D1111yescharacteristic
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—
1757C42C23×D1114yes—
1758C42C23×D1114yes—
1759C42C23×D1114yes—
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—114no—
1772C23—114no—
1773C23—112no—
1774C23—112no—
1775C23—112no—
1776C23—112no—
1777C23—228no—
1778C23—228no—
1779C23—228no—
1780C23—222no—
1781C23—222no—
1782C23—222no—
1783C23—222no—
1784C23—222no—
1785C23—222no—
1786C23—222no—
1787C23—222no—
1788C23—222no—
1789C23—222no—
1790C23—444no—
1791C23—444no—
1792C23—444no—
1793C23—4416no—
1794C23—888no—
1795C23C24×D1112yes—
1796C23C24×D1112yes—
1797C23C24×D1112yes—
1798C23C24×D1111yescharacteristic
1799Q8—44no—
1800Q8—44no—
1801Q8—44no—
1802Q8—444no—
1803Q8—444no—
1804Q8—444no—
1805Q8—444no—
1806Q8—444no—
1807Q8—444no—
1808D4—44no—
1809D4—44no—
1810D4—44no—
1811D4—228no—
1812D4—228no—
1813D4—228no—
1814D4—228no—
1815D4—228no—
1816D4—228no—
1817D4—444no—
1818D4—444no—
1819D4—444no—
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—22no—
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—228no—
1851C2×C4—228no—
1852C2×C4—228no—
1853C2×C4—228no—
1854C2×C4—228no—
1855C2×C4—222no—
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—444no—
1868C2×C4—444no—
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×C4C24×D1112yes—
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—44no—
1904C22—44no—
1905C22—44no—
1906C22—114no—
1907C22—114no—
1908C22—222no—
1909C22—222no—
1910C22—222no—
1911C22—222no—
1912C22—228no—
1913C22—228no—
1914C22—222no—
1915C22—222no—
1916C22—222no—
1917C22—222no—
1918C22—222no—
1919C22—222no—
1920C22—4416no—
1921C22—444no—
1922C22—444no—
1923C22—888no—
1924C22#1062345312yes—
1925C22D11×H(5,𝔽2)12yes—
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—22no—
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—224no—
1956C2—224no—
1957C2—442no—
1958C2—442no—
1959C2#1308281814yesdirect product factor
1960C2C2×D11×H(5,𝔽2)11yescharacteristic
1961C2C2×D11×2−1+411yescharacteristic
1962C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#542C2
socleC23×C11C25
hypercenterC2×#542D11
hypocenterC11C2×#3535
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
1. #13082818C2direct (N × H)
2. C2×#10623243C2semidirect
3. C2×#10623203C2semidirect
4. C2×#10623152C2semidirect
5. C2×#10623215C2semidirect
6. C2×#10623110C2semidirect
7. C2×#10623167C2semidirect
8. C2×#10623112C2semidirect
9. C2×#10623060C2semidirect
10. C2×#10623210C2semidirect
11. C2×#10623190C2semidirect
12. C2×#10623236C2semidirect
13. C2×#10623058C2semidirect
14. C2×#10623162C2semidirect
15. C2×#10623186C2semidirect
16. C2×#10623207C2semidirect
17. C2×#10623141C2semidirect
18. C2×#10623260C2semidirect
19. C2×#10623165C2semidirect
20. C2×#10623171C2semidirect
21. C2×#10623169C2semidirect
22. C2×#10623191C2semidirect
23. C2×#10623095C2semidirect
24. C2×#10623238C2semidirect
25. C2×#10623238C2semidirect
26. C2×#10623209C2semidirect
27. C2×#10623255C2semidirect
28. C2×#10623206C2semidirect
29. C2×#10623078C2semidirect
30. C2×D11×#123C2semidirect
31. C2×D11×C22⋊Q8C2semidirect
32. C2×C11×#542C2semidirect
34. C22×Q8×D11C22semidirect
37. C22×#4339C22semidirect
39. C11×#542C22semidirect
40. C2×C11×C4⋊Q8C22semidirect
41. C2×C11×#126C22semidirect
42. C2×C11×#126C22semidirect
44. C2×C11×#124C22semidirect
45. C2×C11×#124C22semidirect
47. C2×C11×#123C22semidirect
48. C2×C11×C22⋊Q8C22semidirect
49. C2×C11×C22⋊Q8C22semidirect
50. C2×C11×C22⋊Q8C22semidirect
52. C2×C4×Q8×C11C22semidirect
53. C2×C4×D4×C11C22semidirect
54. C2×C11×#117C22semidirect
55. C2×#67000C22semidirect
59. C2×#66999C22semidirect
60. C2×#66999C22semidirect
61. C2×#66999C22semidirect
62. C2×#66997C22semidirect
63. C2×#66997C22semidirect
64. C2×#66997C22semidirect
66. C2×#66992C22semidirect
67. C2×#66992C22semidirect
71. C2×#66989C22semidirect
74. C2×#66988C22semidirect
76. C2×#66982C22semidirect
79. C2×C4×C22⋊D11C22semidirect
80. C2×C4×C22⋊D11C22semidirect
82. C2×#66977C22semidirect
83. C2×#66977C22semidirect
84. C22×Dic11⋊C4C22semidirect
85. #10623260C22semidirect
86. #10623255C22semidirect
87. #10623243C22semidirect
88. #10623238C22semidirect
89. #10623238C22semidirect
90. #10623236C22semidirect
91. #10623215C22semidirect
92. #10623210C22semidirect
93. #10623209C22semidirect
94. #10623207C22semidirect
95. #10623206C22semidirect
96. #10623203C22semidirect
97. #10623191C22semidirect
98. #10623190C22semidirect
99. #10623186C22semidirect
100. D11×#123C22semidirect
101. #10623171C22semidirect
102. #10623169C22semidirect
103. #10623167C22semidirect
104. #10623165C22semidirect
105. #10623162C22semidirect
106. D11×C22⋊Q8C22semidirect
107. #10623152C22semidirect
108. #10623141C22semidirect
109. #10623112C22semidirect
110. #10623110C22semidirect
111. #10623095C22semidirect
112. #10623078C22semidirect
113. #10623060C22semidirect
114. #10623058C22semidirect
115. C2×#66951C22semidirect
116. C2×#66951C22semidirect
118. C2×#66950C22semidirect
119. C2×#66950C22semidirect
125. C2×#66949C22semidirect
126. C2×#66949C22semidirect
127. C2×#66949C22semidirect
128. C2×#66949C22semidirect
129. C2×#66949C22semidirect
130. C2×#66949C22semidirect
135. C2×#66947C22semidirect
136. C2×#66947C22semidirect
137. C2×#66947C22semidirect
138. C2×#66946C22semidirect
140. C2×#66945C22semidirect
143. C2×C4⋊C4×D11C22semidirect
144. C2×C4⋊C4×D11C22semidirect
145. C2×C4⋊C4×D11C22semidirect
146. C2×C4⋊C4×D11C22semidirect
147. C2×#66943C22semidirect
148. C2×#66943C22semidirect
149. C2×#66942C22semidirect
150. C2×#66942C22semidirect
151. C2×#66942C22semidirect
152. C2×#66942C22semidirect
153. C2×#66941C22semidirect
154. C2×#66940C22semidirect
156. C2×#66939C22semidirect
157. C2×#66939C22semidirect
159. C2×#66938C22semidirect
164. C2×#66937C22semidirect
170. C2×#66936C22semidirect
171. C2×#66936C22semidirect
172. C2×#66936C22semidirect
173. C2×#66936C22semidirect
174. C2×#66936C22semidirect
175. C2×#66936C22semidirect
180. C2×(C22⋊D11)⋊C4C22semidirect
181. C2×(C22⋊D11)⋊C4C22semidirect
188. C2×#66932C22semidirect
189. C2×#66932C22semidirect
190. C2×#66932C22semidirect
191. C2×#66932C22semidirect
192. C2×#66932C22semidirect
193. C2×#66932C22semidirect
194. C2×#66931C22semidirect
195. C2×#66931C22semidirect
196. C2×#66931C22semidirect
197. C2×#66931C22semidirect
198. C2×#66931C22semidirect
199. C2×#66931C22semidirect
200. C2×#66931C22semidirect
201. C2×#66931C22semidirect
202. C2×#66931C22semidirect
203. C2×#66929C22semidirect
204. C2×#66929C22semidirect
205. C2×#66928C22semidirect
211. C2×#66925C22semidirect
212. C2×#66925C22semidirect
213. C2×#66925C22semidirect
214. C2×#66923C22semidirect
215. C2×#66923C22semidirect
216. C2×#66923C22semidirect
217. C2×#66923C22semidirect
218. C2×#66922C22semidirect
245. C2×Q8×D11C23semidirect
251. C2×#4339C23semidirect
280. C11×C4⋊Q8C23semidirect
281. C11×#126C23semidirect
282. C11×#126C23semidirect
284. C11×#124C23semidirect
285. C11×#124C23semidirect
287. C11×#123C23semidirect
288. C11×C22⋊Q8C23semidirect
289. C11×C22⋊Q8C23semidirect
290. C11×C22⋊Q8C23semidirect
292. C4×Q8×C11C23semidirect
293. C4×D4×C11C23semidirect
294. C11×#117C23semidirect
331. #67000C23semidirect
335. #66999C23semidirect
336. #66999C23semidirect
337. #66999C23semidirect
338. #66997C23semidirect
339. #66997C23semidirect
340. #66997C23semidirect
342. #66992C23semidirect
343. #66992C23semidirect
347. #66989C23semidirect
350. #66988C23semidirect
352. #66982C23semidirect
355. C4×C22⋊D11C23semidirect
356. C4×C22⋊D11C23semidirect
394. #66977C23semidirect
395. #66977C23semidirect
424. C2×Dic11⋊C4C23semidirect
431. #66951C23semidirect
432. #66951C23semidirect
434. #66950C23semidirect
435. #66950C23semidirect
441. #66949C23semidirect
442. #66949C23semidirect
443. #66949C23semidirect
444. #66949C23semidirect
445. #66949C23semidirect
446. #66949C23semidirect
451. #66947C23semidirect
452. #66947C23semidirect
453. #66947C23semidirect
454. #66946C23semidirect
456. #66945C23semidirect
459. C4⋊C4×D11C23semidirect
460. C4⋊C4×D11C23semidirect
461. C4⋊C4×D11C23semidirect
462. C4⋊C4×D11C23semidirect
463. #66943C23semidirect
464. #66943C23semidirect
465. #66942C23semidirect
466. #66942C23semidirect
467. #66942C23semidirect
468. #66942C23semidirect
469. #66941C23semidirect
470. #66940C23semidirect
472. #66939C23semidirect
473. #66939C23semidirect
475. #66938C23semidirect
480. #66937C23semidirect
486. #66936C23semidirect
487. #66936C23semidirect
488. #66936C23semidirect
489. #66936C23semidirect
490. #66936C23semidirect
491. #66936C23semidirect
496. (C22⋊D11)⋊C4C23semidirect
497. (C22⋊D11)⋊C4C23semidirect
504. #66932C23semidirect
505. #66932C23semidirect
506. #66932C23semidirect
507. #66932C23semidirect
508. #66932C23semidirect
509. #66932C23semidirect
510. #66931C23semidirect
511. #66931C23semidirect
512. #66931C23semidirect
513. #66931C23semidirect
514. #66931C23semidirect
515. #66931C23semidirect
516. #66931C23semidirect
517. #66931C23semidirect
518. #66931C23semidirect
519. #66929C23semidirect
520. #66929C23semidirect
521. #66928C23semidirect
527. #66925C23semidirect
528. #66925C23semidirect
529. #66925C23semidirect
530. #66923C23semidirect
531. #66923C23semidirect
532. #66923C23semidirect
533. #66923C23semidirect
534. #66922C23semidirect
801. C2×#542D11semidirect
970. #542C2×D11semidirect
984. C2×C4⋊Q8C2×D11semidirect
995. C2×#126C2×D11semidirect
996. C2×#126C2×D11semidirect
1013. C2×#124C2×D11semidirect
1014. C2×#124C2×D11semidirect
1044. C2×#123C2×D11semidirect
1077. C2×C22⋊Q8C2×D11semidirect
1078. C2×C22⋊Q8C2×D11semidirect
1079. C2×C22⋊Q8C2×D11semidirect
1095. C2×C4×Q8C2×D11semidirect
1109. C2×C4×D4C2×D11semidirect
1116. C2×#117C2×D11semidirect
1255. C4⋊Q8C22×D11semidirect
1266. #126C22×D11semidirect
1267. #126C22×D11semidirect
1284. #124C22×D11semidirect
1285. #124C22×D11semidirect
1313. #123C22×D11semidirect
1345. C22⋊Q8C22×D11semidirect
1346. C22⋊Q8C22×D11semidirect
1347. C22⋊Q8C22×D11semidirect
1363. C4×Q8C22×D11semidirect
1377. C4×D4C22×D11semidirect
1384. #117C22×D11semidirect
1508. C2×C11#3535semidirect
1761. C11C2×#3535semidirect
1959. C2#13082818direct (N × H)

Maximal subgroups

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

subgroupindex
#130828182
C2×#106232432
C2×#106232032
C2×#106231522
C2×#106232152
C2×#106231102
C2×#106231672
C2×#106231122
C2×#106230602
C2×#106232102
C2×#106231902
C2×#106232362
C2×#106230582
C2×#106231622
C2×#106231862
C2×#106232072
C2×#106231412
C2×#106232602
C2×#106231652
C2×#106231712
C2×#106231692
C2×#106231912
C2×#106230952
C2×#106232382
C2×#106232092
C2×#106232552
C2×#106232062
C2×#106230782
C2×D11×#1232
C2×D11×C22⋊Q82
C2×C11×#5422
C2×#353511