Finite Group Databasebeta

← C2×#13083239 #15661168

Subgroups — C2×#13083239 #15661168

Order 2816.

6598 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083239C2132yesmaximal, direct product factor
2C2×#10623230C211yesmaximal, characteristic, complemented
3C2×#10623177C211yesmaximal, characteristic, complemented
4C2×#10623177C211yesmaximal, characteristic, complemented
5C2×#10623266C211yesmaximal, characteristic, complemented
6C2×#10623099C211yesmaximal, characteristic, complemented
7C2×#10623172C211yesmaximal, characteristic, complemented
8C2×#10623042C211yesmaximal, characteristic, complemented
9C2×#10623173C211yesmaximal, characteristic, complemented
10C2×#10623072C211yesmaximal, characteristic, complemented
11C2×#10623044C211yesmaximal, characteristic, complemented
12C2×#10623224C211yesmaximal, characteristic, complemented
13C2×#10623087C211yesmaximal, characteristic, complemented
14C2×#10623087C211yesmaximal, characteristic, complemented
15C2×#10623168C211yesmaximal, characteristic, complemented
16C2×#10623168C211yesmaximal, characteristic, complemented
17C2×#10623154C211yesmaximal, characteristic, complemented
18C2×#10623165C211yesmaximal, characteristic, complemented
19C2×#10623174C211yesmaximal, characteristic, complemented
20C2×#10623171C211yesmaximal, characteristic, complemented
21C2×#10623262C211yesmaximal, characteristic, complemented
22C2×#10623227C211yesmaximal, characteristic, complemented
23C2×#10623227C211yesmaximal, characteristic, complemented
24C2×#10623114C211yesmaximal, characteristic, complemented
25C2×#10623046C211yesmaximal, characteristic, complemented
26C2×#10623169C211yesmaximal, characteristic, complemented
27C2×#10623095C211yesmaximal, characteristic, complemented
28C2×#10623091C211yesmaximal, characteristic
29C2×#10623153C211yesmaximal, characteristic, complemented
30C2×#10623069C211yesmaximal, characteristic, complemented
31C22×#66951C211yesmaximal, characteristic, complemented
32C2×C11×#554C211yesmaximal, characteristic, complemented
33C11×#554C22116yescomplemented
34C2×C11×C4⋊Q8C2211yescharacteristic, complemented
35C2×C11×#125C2211yescharacteristic, complemented
36C2×C11×#125C2211yescharacteristic, complemented
37C2×C11×C22⋊Q8C2211yescharacteristic
38C2×C11×C22⋊Q8C2211yescharacteristic
39C2×C11×C22⋊Q8C2211yescharacteristic
40C2×C11×C22⋊Q8C2211yescharacteristic, complemented
41C2×C11×C22⋊Q8C2211yescharacteristic, complemented
42C2×C11×C22⋊Q8C2211yescharacteristic, complemented
43C2×C4×Q8×C11C2211yescharacteristic, complemented
44C2×C4×D4×C11C2211yescharacteristic
45C2×C4×D4×C11C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C22×C11×C4⋊C4C2211yescharacteristic
48C22×C11×C4⋊C4C2211yescharacteristic, complemented
49C2×#67000C2211yescharacteristic
50C2×#67000C2211yescharacteristic
51C2×#66999C2211yescharacteristic
52C2×#66999C2211yescharacteristic
53C2×#66999C2211yescharacteristic
54C2×#66999C2211yescharacteristic
55C2×#66999C2211yescharacteristic, complemented
56C2×Q8×Dic11C2211yescharacteristic, complemented
57C2×Q8×Dic11C2211yescharacteristic, complemented
58C2×#66997C2211yescharacteristic, complemented
59C2×#66997C2211yescharacteristic, complemented
60C2×#66997C2211yescharacteristic, complemented
61C2×#66992C2211yescharacteristic
62C2×#66990C2211yescharacteristic
63C2×#66988C2211yescharacteristic
64C2×#66988C2211yescharacteristic
65C2×#66983C2211yescharacteristic
66C2×#66982C2211yescharacteristic
67C2×#66982C2211yescharacteristic
68C2×#66982C2211yescharacteristic
69C2×#66982C2211yescharacteristic, complemented
70C2×C4×C22⋊D11C2211yescharacteristic
71C2×C4×C22⋊D11C2211yescharacteristic
72C2×C4×C22⋊D11C2211yescharacteristic
73C2×C4×C22⋊D11C2211yescharacteristic
74C2×C4×C22⋊D11C2211yescharacteristic
75C2×C4×C22⋊D11C2211yescharacteristic, complemented
76C22×(C2×D11)⋊C4C2211yescharacteristic
77C22×(C2×D11)⋊C4C2211yescharacteristic
78C22×(C2×D11)⋊C4C2211yescharacteristic
79C2×#66979C2211yescharacteristic, complemented
80C2×#66979C2211yescharacteristic, complemented
81C22×C4⋊Dic11C2211yescharacteristic
82C2×#66977C2211yescharacteristic
83C2×#66977C2211yescharacteristic
84C2×#66977C2211yescharacteristic
85C2×#66977C2211yescharacteristic, complemented
86C2×#66977C2211yescharacteristic, complemented
87C22×Dic11⋊C4C2211yescharacteristic
88C22×C4×Dic11C2211yescharacteristic
89#10623266C22116yescomplemented
90#10623262C22116yescomplemented
91#10623230C22116yescomplemented
92#10623227C22116yescomplemented
93#10623227C22116yescomplemented
94#10623224C22116yescomplemented
95#10623177C22116yescomplemented
96#10623177C22116yescomplemented
97#10623174C22116yescomplemented
98#10623173C22116yescomplemented
99#10623172C22116yescomplemented
100#10623171C22116yescomplemented
101#10623169C22116yescomplemented
102#10623168C22116yescomplemented
103#10623168C22116yescomplemented
104#10623165C22116yescomplemented
105#10623154C22116yescomplemented
106#10623153C22116yescomplemented
107#10623114C22116yescomplemented
108#10623099C22116yescomplemented
109#10623095C22116yescomplemented
110#10623091C22116yes—
111#10623087C22116yescomplemented
112#10623087C22116yescomplemented
113#10623072C22116yescomplemented
114#10623069C22116yescomplemented
115#10623046C22116yescomplemented
116#10623044C22116yescomplemented
117C2×#66951C2211yescharacteristic
118C2×#66951C2211yescharacteristic
119C2×#66951C2211yescharacteristic
120C2×#66951C2211yescharacteristic
121C2×#66951C2211yescharacteristic
122C2×#66951C2211yescharacteristic
123C2×#66951C2211yescharacteristic
124C2×#66951C2211yescharacteristic
125C2×#66951C2211yescharacteristic
126C2×#66951C2211yescharacteristic
127C2×#66951C2211yescharacteristic
128C2×#66951C2211yescharacteristic
129C2×#66951C2211yescharacteristic
130C2×#66951C2211yescharacteristic
131C2×#66951C2211yescharacteristic
132C2×#66951C22116yescomplemented
133C2×#66951C2211yescharacteristic, complemented
134C2×#66951C2211yescharacteristic, complemented
135C2×#66951C2211yescharacteristic, complemented
136#10623042C22116yescomplemented
137C2×#66950C2211yescharacteristic
138C2×#66950C2211yescharacteristic
139C2×#66950C2211yescharacteristic, complemented
140C2×#66949C2211yescharacteristic
141C2×#66949C2211yescharacteristic
142C2×#66949C2211yescharacteristic
143C2×#66949C2211yescharacteristic
144C2×#66949C2211yescharacteristic
145C2×#66949C2211yescharacteristic
146C2×#66949C2211yescharacteristic, complemented
147C2×#66949C2211yescharacteristic, complemented
148C2×#66949C2211yescharacteristic, complemented
149C2×#66947C2211yescharacteristic
150C2×#66947C2211yescharacteristic
151C2×#66947C2211yescharacteristic
152C2×#66947C2211yescharacteristic
153C2×#66947C2211yescharacteristic
154C2×#66946C2211yescharacteristic
155C2×#66946C2211yescharacteristic
156C2×#66945C2211yescharacteristic
157C2×#66945C2211yescharacteristic
158C2×#66945C2211yescharacteristic, complemented
159C2×C4⋊C4×D11C2211yescharacteristic, complemented
160C2×#66943C2211yescharacteristic, complemented
161C2×#66943C2211yescharacteristic, complemented
162C2×#66943C2211yescharacteristic, complemented
163C2×#66942C2211yescharacteristic, complemented
164C2×#66942C2211yescharacteristic, complemented
165C2×#66942C2211yescharacteristic, complemented
166C2×#66942C2211yescharacteristic, complemented
167C2×#66942C2211yescharacteristic, complemented
168C2×#66942C2211yescharacteristic, complemented
169C2×#66942C2211yescharacteristic, complemented
170C2×#66942C2211yescharacteristic, complemented
171C2×#66942C2211yescharacteristic, complemented
172C2×#66942C2211yescharacteristic, complemented
173C2×#66942C2211yescharacteristic, complemented
174C2×#66942C2211yescharacteristic, complemented
175C2×#66941C2211yescharacteristic, complemented
176C2×#66941C2211yescharacteristic, complemented
177C2×#66941C2211yescharacteristic, complemented
178C2×#66941C2211yescharacteristic, complemented
179C2×#66940C2211yescharacteristic, complemented
180C2×#66940C2211yescharacteristic, complemented
181C2×#66940C2211yescharacteristic, complemented
182C2×#66940C2211yescharacteristic, complemented
183C2×#66939C2211yescharacteristic
184C2×#66939C2211yescharacteristic
185C2×#66938C2211yescharacteristic
186C2×#66938C2211yescharacteristic
187C2×#66938C2211yescharacteristic
188C2×#66938C2211yescharacteristic, complemented
189C2×#66937C2211yescharacteristic
190C2×#66936C2211yescharacteristic
191C2×#66936C2211yescharacteristic
192C2×#66936C2211yescharacteristic, complemented
193C2×#66935C2211yescharacteristic
194C2×C22⋊C4×D11C2211yescharacteristic
195C2×C22⋊C4×D11C2211yescharacteristic
196C2×#66932C2211yescharacteristic, complemented
197C2×#66932C2211yescharacteristic, complemented
198C2×#66932C2211yescharacteristic, complemented
199C2×#66932C2211yescharacteristic, complemented
200C2×#66931C2211yescharacteristic
201C2×#66931C2211yescharacteristic
202C2×#66931C2211yescharacteristic
203C2×#66930C2211yescharacteristic
204C2×#66930C2211yescharacteristic
205C2×#66930C2211yescharacteristic
206C2×#66930C2211yescharacteristic
207C2×#66929C2211yescharacteristic
208C2×#66929C2211yescharacteristic
209C2×#66929C2211yescharacteristic
210C2×#66929C2211yescharacteristic, complemented
211C2×#66928C2211yescharacteristic
212C2×#66925C2211yescharacteristic
213C2×#66925C2211yescharacteristic
214C2×#66925C2211yescharacteristic, complemented
215C2×#66923C2211yescharacteristic, complemented
216C2×#66923C2211yescharacteristic, complemented
217C2×C4×Dic22C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C22×Q8×C11C2311yescharacteristic
221C22×Q8×C11C2311yescharacteristic
222C22×Q8×C11C2311yescharacteristic
223C22×D4×C11C2311yescharacteristic
224C23×C4×C11C2311yescharacteristic
225C23×C4×C11C2311yescharacteristic
226C23×C4×C11C2311yescharacteristic
227C23×C4×C11C2311yescharacteristic
228C23×C4×C11C2311yescharacteristic
229C23×C4×C11C2311yescharacteristic
230C22×C22⋊D11C2311yescharacteristic
231C22×C22⋊D11C2311yescharacteristic
232C22×C22⋊D11C2311yescharacteristic
233C22×C22⋊D11C2311yescharacteristic
234C23×Dic11C2311yescharacteristic
235C23×Dic11C2311yescharacteristic
236C23×Dic11C2311yescharacteristic
237C22×D44C2311yescharacteristic
238C22×D44C2311yescharacteristic
239C22×C4×D11C2311yescharacteristic
240C22×C4×D11C2311yescharacteristic
241C22×C4×D11C2311yescharacteristic
242C22×C4×D11C2311yescharacteristic
243C22×C4×D11C2311yescharacteristic
244C22×C4×D11C2311yescharacteristic
245C22×C4×D11C2311yescharacteristic
246C22×Dic22C2311yescharacteristic
247C22×Dic22C2311yescharacteristic
248C22×Dic22C2311yescharacteristic
249C22×Dic22C2311yescharacteristic
250C22×Dic22C2311yescharacteristic
251C22×Dic22C2311yescharacteristic
252C11×C4⋊Q8C2318yescomplemented
253C11×#125C2318yescomplemented
254C11×#125C2318yescomplemented
255C11×C22⋊Q8C2318yes—
256C11×C22⋊Q8C2318yes—
257C11×C22⋊Q8C2318yes—
258C11×C22⋊Q8C2318yescomplemented
259C11×C22⋊Q8C2318yescomplemented
260C11×C22⋊Q8C2318yescomplemented
261C4×Q8×C11C2318yescomplemented
262C4×D4×C11C2318yes—
263C4×D4×C11C2318yes—
264C4×D4×C11C2318yes—
265C2×C11×C4⋊C4C2311yescharacteristic
266C2×C11×C4⋊C4C2311yescharacteristic
267C2×C11×C4⋊C4C2311yescharacteristic
268C2×C11×C4⋊C4C2311yescharacteristic
269C2×C11×C4⋊C4C2311yescharacteristic
270C2×C11×C4⋊C4C2311yescharacteristic
271C2×C11×C4⋊C4C2311yescharacteristic
272C2×C11×C4⋊C4C2311yescharacteristic
273C2×C11×C4⋊C4C2311yescharacteristic
274C2×C11×C4⋊C4C2311yescharacteristic
275C2×C11×C4⋊C4C2311yescharacteristic
276C2×C11×C4⋊C4C2311yescharacteristic
277C2×C11×C4⋊C4C2311yescharacteristic
278C2×C11×C4⋊C4C2311yescharacteristic
279C2×C11×C4⋊C4C2311yescharacteristic
280C2×C11×C4⋊C4C2311yescharacteristic
281C2×C11×C4⋊C4C2318yes—
282C2×C11×C4⋊C4C2318yescomplemented
283C2×C11×C22⋊C4C2311yescharacteristic
284C2×C11×C22⋊C4C2311yescharacteristic
285C2×C11×C22⋊C4C2311yescharacteristic
286C2×C11×C22⋊C4C2311yescharacteristic
287C2×C11×C22⋊C4C2311yescharacteristic
288C2×C11×C22⋊C4C2311yescharacteristic
289C2×C42×C11C2311yescharacteristic
290C2×C42×C11C2311yescharacteristic
291C2×C42×C11C2311yescharacteristic
292C2×C22⋊Dic11C2311yescharacteristic
293C2×C22⋊Dic11C2311yescharacteristic
294C2×C22⋊Dic11C2311yescharacteristic
295C2×C22⋊Dic11C2311yescharacteristic
296C2×C22⋊Dic11C2311yescharacteristic
297C2×C22⋊Dic11C2311yescharacteristic
298C2×C22⋊Dic11C2311yescharacteristic
299C2×C22⋊Dic11C2311yescharacteristic
300#67000C2318yes—
301#67000C2318yes—
302#66999C2318yes—
303#66999C2318yes—
304#66999C2318yes—
305#66999C2318yes—
306#66999C2318yescomplemented
307Q8×Dic11C2318yescomplemented
308Q8×Dic11C2318yescomplemented
309#66997C2318yescomplemented
310#66997C2318yescomplemented
311#66997C2318yescomplemented
312#66992C2318yes—
313#66990C2318yes—
314#66988C2318yes—
315#66988C2318yes—
316#66983C2318yes—
317#66982C2318yes—
318#66982C2318yes—
319#66982C2318yes—
320#66982C2318yescomplemented
321C4×C22⋊D11C2318yes—
322C4×C22⋊D11C2318yes—
323C4×C22⋊D11C2318yes—
324C4×C22⋊D11C2318yes—
325C4×C22⋊D11C2318yes—
326C4×C22⋊D11C2318yescomplemented
327C2×(C2×D11)⋊C4C2311yescharacteristic
328C2×(C2×D11)⋊C4C2311yescharacteristic
329C2×(C2×D11)⋊C4C2311yescharacteristic
330C2×(C2×D11)⋊C4C2311yescharacteristic
331C2×(C2×D11)⋊C4C2311yescharacteristic
332C2×(C2×D11)⋊C4C2311yescharacteristic
333C2×(C2×D11)⋊C4C2311yescharacteristic
334C2×(C2×D11)⋊C4C2311yescharacteristic
335C2×(C2×D11)⋊C4C2311yescharacteristic
336C2×(C2×D11)⋊C4C2311yescharacteristic
337C2×(C2×D11)⋊C4C2311yescharacteristic
338C2×(C2×D11)⋊C4C2311yescharacteristic
339C2×(C2×D11)⋊C4C2311yescharacteristic
340C2×(C2×D11)⋊C4C2311yescharacteristic
341C2×(C2×D11)⋊C4C2311yescharacteristic
342C2×(C2×D11)⋊C4C2311yescharacteristic
343C2×(C2×D11)⋊C4C2311yescharacteristic
344C2×(C2×D11)⋊C4C2311yescharacteristic
345C2×(C2×D11)⋊C4C2311yescharacteristic
346C2×(C2×D11)⋊C4C2311yescharacteristic
347C2×(C2×D11)⋊C4C2311yescharacteristic
348C2×(C2×D11)⋊C4C2311yescharacteristic
349C2×(C2×D11)⋊C4C2311yescharacteristic
350C2×(C2×D11)⋊C4C2311yescharacteristic
351C2×(C2×D11)⋊C4C2311yescharacteristic
352C2×(C2×D11)⋊C4C2311yescharacteristic
353C2×(C2×D11)⋊C4C2311yescharacteristic
354C2×(C2×D11)⋊C4C2311yescharacteristic
355C2×(C2×D11)⋊C4C2318yes—
356C2×(C2×D11)⋊C4C2318yes—
357C2×(C2×D11)⋊C4C2318yes—
358#66979C2318yescomplemented
359#66979C2318yescomplemented
360C2×C4⋊Dic11C2311yescharacteristic
361C2×C4⋊Dic11C2311yescharacteristic
362C2×C4⋊Dic11C2311yescharacteristic
363C2×C4⋊Dic11C2311yescharacteristic
364C2×C4⋊Dic11C2311yescharacteristic
365C2×C4⋊Dic11C2311yescharacteristic
366C2×C4⋊Dic11C2311yescharacteristic
367C2×C4⋊Dic11C2311yescharacteristic
368C2×C4⋊Dic11C2311yescharacteristic
369C2×C4⋊Dic11C2311yescharacteristic
370C2×C4⋊Dic11C2311yescharacteristic
371C2×C4⋊Dic11C2311yescharacteristic
372C2×C4⋊Dic11C2311yescharacteristic
373C2×C4⋊Dic11C2311yescharacteristic
374C2×C4⋊Dic11C2318yes—
375#66977C2318yes—
376#66977C2318yes—
377#66977C2318yes—
378#66977C2318yescomplemented
379#66977C2318yescomplemented
380C2×Dic11⋊C4C2311yescharacteristic
381C2×Dic11⋊C4C2311yescharacteristic
382C2×Dic11⋊C4C2311yescharacteristic
383C2×Dic11⋊C4C2311yescharacteristic
384C2×Dic11⋊C4C2311yescharacteristic
385C2×Dic11⋊C4C2311yescharacteristic
386C2×Dic11⋊C4C2311yescharacteristic
387C2×Dic11⋊C4C2311yescharacteristic
388C2×Dic11⋊C4C2311yescharacteristic
389C2×Dic11⋊C4C2311yescharacteristic
390C2×Dic11⋊C4C2311yescharacteristic
391C2×Dic11⋊C4C2311yescharacteristic
392C2×Dic11⋊C4C2311yescharacteristic
393C2×Dic11⋊C4C2311yescharacteristic
394C2×Dic11⋊C4C2311yescharacteristic
395C2×Dic11⋊C4C2311yescharacteristic
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⋊C4C2318yes—
413C2×C4×Dic11C2311yescharacteristic
414C2×C4×Dic11C2311yescharacteristic
415C2×C4×Dic11C2311yescharacteristic
416C2×C4×Dic11C2311yescharacteristic
417C2×C4×Dic11C2311yescharacteristic
418C2×C4×Dic11C2311yescharacteristic
419C2×C4×Dic11C2311yescharacteristic
420C2×C4×Dic11C2311yescharacteristic
421C2×C4×Dic11C2311yescharacteristic
422C2×C4×Dic11C2311yescharacteristic
423C2×C4×Dic11C2311yescharacteristic
424C2×C4×Dic11C2311yescharacteristic
425C2×C4×Dic11C2311yescharacteristic
426C2×C4×Dic11C2311yescharacteristic
427C2×C4×Dic11C2311yescharacteristic
428C2×C4×Dic11C2318yes—
429#66951C2318yes—
430#66951C2318yes—
431#66951C2318yes—
432#66951C2318yes—
433#66951C2318yes—
434#66951C2318yes—
435#66951C2318yes—
436#66951C2318yes—
437#66951C2318yes—
438#66951C2318yes—
439#66951C2318yes—
440#66951C2318yes—
441#66951C2318yes—
442#66951C2318yes—
443#66951C2318yes—
444#66951C2318yescomplemented
445#66951C2318yescomplemented
446#66951C2318yescomplemented
447#66950C2318yes—
448#66950C2318yes—
449#66950C2318yescomplemented
450#66949C2318yes—
451#66949C2318yes—
452#66949C2318yes—
453#66949C2318yes—
454#66949C2318yes—
455#66949C2318yes—
456#66949C2318yescomplemented
457#66949C2318yescomplemented
458#66949C2318yescomplemented
459#66947C2318yes—
460#66947C2318yes—
461#66947C2318yes—
462#66947C2318yes—
463#66947C2318yes—
464#66946C2318yes—
465#66946C2318yes—
466#66945C2318yes—
467#66945C2318yes—
468#66945C2318yescomplemented
469C4⋊C4×D11C2318yescomplemented
470#66943C2318yescomplemented
471#66943C2318yescomplemented
472#66943C2318yescomplemented
473#66942C2318yescomplemented
474#66942C2318yescomplemented
475#66942C2318yescomplemented
476#66942C2318yescomplemented
477#66942C2318yescomplemented
478#66942C2318yescomplemented
479#66942C2318yescomplemented
480#66942C2318yescomplemented
481#66942C2318yescomplemented
482#66942C2318yescomplemented
483#66942C2318yescomplemented
484#66942C2318yescomplemented
485#66941C2318yescomplemented
486#66941C2318yescomplemented
487#66941C2318yescomplemented
488#66941C2318yescomplemented
489#66940C2318yescomplemented
490#66940C2318yescomplemented
491#66940C2318yescomplemented
492#66940C2318yescomplemented
493#66939C2318yes—
494#66939C2318yes—
495#66938C2318yes—
496#66938C2318yes—
497#66938C2318yes—
498#66938C2318yescomplemented
499#66937C2318yes—
500#66936C2318yes—
501#66936C2318yes—
502#66936C2318yescomplemented
503#66935C2318yes—
504C22⋊C4×D11C2318yes—
505C22⋊C4×D11C2318yes—
506#66932C2318yescomplemented
507#66932C2318yescomplemented
508#66932C2318yescomplemented
509#66932C2318yescomplemented
510#66931C2318yes—
511#66931C2318yes—
512#66931C2318yes—
513#66930C2318yes—
514#66930C2318yes—
515#66930C2318yes—
516#66930C2318yes—
517#66929C2318yes—
518#66929C2318yes—
519#66929C2318yes—
520#66929C2318yescomplemented
521#66928C2318yes—
522#66925C2318yes—
523#66925C2318yes—
524#66925C2318yescomplemented
525#66923C2318yescomplemented
526#66923C2318yescomplemented
527C4×Dic22C2318yescomplemented
528C4×Dic22C2318yescomplemented
529C2×#3564—111nomaximal, Sylow
530C24×C11C2411yescharacteristic
531C24×C11C2411yescharacteristic
532C23×D11—24no—
533C23×D11—42no—
534C23×D11—42no—
535C23×D11C2411yescharacteristic
536C23×D11C2411yescharacteristic
537C23×D11C2411yescharacteristic
538C23×D11C2414yes—
539C2×Q8×C11—42no—
540C2×Q8×C11—42no—
541C2×Q8×C11—42no—
542C2×Q8×C11C2414yes—
543C2×Q8×C11C2414yes—
544C2×Q8×C11C2414yes—
545C2×D4×C11—24no—
546C2×D4×C11C2414yes—
547C22×C4×C11—42no—
548C22×C4×C11—42no—
549C22×C4×C11—42no—
550C22×C4×C11—42no—
551C22×C4×C11—42no—
552C22×C4×C11—42no—
553C22×C4×C11C2411yescharacteristic
554C22×C4×C11C2411yescharacteristic
555C22×C4×C11C2411yescharacteristic
556C22×C4×C11C2411yescharacteristic
557C22×C4×C11C2411yescharacteristic
558C22×C4×C11C2411yescharacteristic
559C22×C4×C11C2411yescharacteristic
560C22×C4×C11C2411yescharacteristic
561C22×C4×C11C2411yescharacteristic
562C22×C4×C11C2411yescharacteristic
563C22×C4×C11C2411yescharacteristic
564C22×C4×C11C2411yescharacteristic
565C22×C4×C11C2411yescharacteristic
566C22×C4×C11C2414yes—
567C22×C4×C11C2414yes—
568C22×C4×C11C2414yes—
569C22×C4×C11C2414yes—
570C22×C4×C11C2414yes—
571C22×C4×C11C2414yes—
572C2×C22⋊D11—24no—
573C2×C22⋊D11—42no—
574C2×C22⋊D11—42no—
575C2×C22⋊D11—42no—
576C2×C22⋊D11C2414yes—
577C2×C22⋊D11C2414yes—
578C2×C22⋊D11C2414yes—
579C2×C22⋊D11C2414yes—
580C22×Dic11—24no—
581C22×Dic11—24no—
582C22×Dic11—42no—
583C22×Dic11C2414yes—
584C22×Dic11C2414yes—
585C22×Dic11C2411yescharacteristic
586C22×Dic11C2411yescharacteristic
587C22×Dic11C2411yescharacteristic
588C22×Dic11C2411yescharacteristic
589C22×Dic11C2411yescharacteristic
590C22×Dic11C2411yescharacteristic
591C22×Dic11C2411yescharacteristic
592C22×Dic11C2411yescharacteristic
593C22×Dic11C2411yescharacteristic
594C22×Dic11C2411yescharacteristic
595C22×Dic11C2411yescharacteristic
596C22×Dic11C2411yescharacteristic
597C22×Dic11C2411yescharacteristic
598C22×Dic11C2414yes—
599C2×D44—42no—
600C2×D44—42no—
601C2×D44C2414yes—
602C2×D44C2414yes—
603C2×C4×D11—42no—
604C2×C4×D11—42no—
605C2×C4×D11—42no—
606C2×C4×D11—42no—
607C2×C4×D11—42no—
608C2×C4×D11—42no—
609C2×C4×D11—42no—
610C2×C4×D11C2414yes—
611C2×C4×D11C2414yes—
612C2×C4×D11C2414yes—
613C2×C4×D11C2414yes—
614C2×C4×D11C2414yes—
615C2×C4×D11C2414yes—
616C2×C4×D11C2414yes—
617C2×Dic22—42no—
618C2×Dic22—42no—
619C2×Dic22—42no—
620C2×Dic22—42no—
621C2×Dic22—42no—
622C2×Dic22—42no—
623C2×Dic22C2414yes—
624C2×Dic22C2414yes—
625C2×Dic22C2414yes—
626C2×Dic22C2414yes—
627C2×Dic22C2414yes—
628C2×Dic22C2414yes—
629C11×C4⋊C4C2414yes—
630C11×C4⋊C4C2414yes—
631C11×C4⋊C4C2414yes—
632C11×C4⋊C4C2414yes—
633C11×C4⋊C4C2414yes—
634C11×C4⋊C4C2414yes—
635C11×C4⋊C4C2414yes—
636C11×C4⋊C4C2414yes—
637C11×C4⋊C4C2414yes—
638C11×C4⋊C4C2414yes—
639C11×C4⋊C4C2414yes—
640C11×C4⋊C4C2414yes—
641C11×C4⋊C4C2414yes—
642C11×C4⋊C4C2414yes—
643C11×C4⋊C4C2414yes—
644C11×C4⋊C4C2414yes—
645C11×C22⋊C4C2414yes—
646C11×C22⋊C4C2414yes—
647C11×C22⋊C4C2414yes—
648C11×C22⋊C4C2414yes—
649C11×C22⋊C4C2414yes—
650C11×C22⋊C4C2414yes—
651C42×C11C2414yes—
652C42×C11C2414yes—
653C42×C11C2414yes—
654C22⋊Dic11C2414yes—
655C22⋊Dic11C2414yes—
656C22⋊Dic11C2414yes—
657C22⋊Dic11C2414yes—
658C22⋊Dic11C2414yes—
659C22⋊Dic11C2414yes—
660C22⋊Dic11C2414yes—
661C22⋊Dic11C2414yes—
662(C2×D11)⋊C4C2414yes—
663(C2×D11)⋊C4C2414yes—
664(C2×D11)⋊C4C2414yes—
665(C2×D11)⋊C4C2414yes—
666(C2×D11)⋊C4C2414yes—
667(C2×D11)⋊C4C2414yes—
668(C2×D11)⋊C4C2414yes—
669(C2×D11)⋊C4C2414yes—
670(C2×D11)⋊C4C2414yes—
671(C2×D11)⋊C4C2414yes—
672(C2×D11)⋊C4C2414yes—
673(C2×D11)⋊C4C2414yes—
674(C2×D11)⋊C4C2414yes—
675(C2×D11)⋊C4C2414yes—
676(C2×D11)⋊C4C2414yes—
677(C2×D11)⋊C4C2414yes—
678(C2×D11)⋊C4C2414yes—
679(C2×D11)⋊C4C2414yes—
680(C2×D11)⋊C4C2414yes—
681(C2×D11)⋊C4C2414yes—
682(C2×D11)⋊C4C2414yes—
683(C2×D11)⋊C4C2414yes—
684(C2×D11)⋊C4C2414yes—
685(C2×D11)⋊C4C2414yes—
686(C2×D11)⋊C4C2414yes—
687(C2×D11)⋊C4C2414yes—
688(C2×D11)⋊C4C2414yes—
689(C2×D11)⋊C4C2414yes—
690C4⋊Dic11C2414yes—
691C4⋊Dic11C2414yes—
692C4⋊Dic11C2414yes—
693C4⋊Dic11C2414yes—
694C4⋊Dic11C2414yes—
695C4⋊Dic11C2414yes—
696C4⋊Dic11C2414yes—
697C4⋊Dic11C2414yes—
698C4⋊Dic11C2414yes—
699C4⋊Dic11C2414yes—
700C4⋊Dic11C2414yes—
701C4⋊Dic11C2414yes—
702C4⋊Dic11C2414yes—
703C4⋊Dic11C2414yes—
704Dic11⋊C4C2414yes—
705Dic11⋊C4C2414yes—
706Dic11⋊C4C2414yes—
707Dic11⋊C4C2414yes—
708Dic11⋊C4C2414yes—
709Dic11⋊C4C2414yes—
710Dic11⋊C4C2414yes—
711Dic11⋊C4C2414yes—
712Dic11⋊C4C2414yes—
713Dic11⋊C4C2414yes—
714Dic11⋊C4C2414yes—
715Dic11⋊C4C2414yes—
716Dic11⋊C4C2414yes—
717Dic11⋊C4C2414yes—
718Dic11⋊C4C2414yes—
719Dic11⋊C4C2414yes—
720Dic11⋊C4C2414yes—
721Dic11⋊C4C2414yes—
722Dic11⋊C4C2414yes—
723Dic11⋊C4C2414yes—
724Dic11⋊C4C2414yes—
725Dic11⋊C4C2414yes—
726Dic11⋊C4C2414yes—
727Dic11⋊C4C2414yes—
728Dic11⋊C4C2414yes—
729Dic11⋊C4C2414yes—
730Dic11⋊C4C2414yes—
731Dic11⋊C4C2414yes—
732Dic11⋊C4C2414yes—
733Dic11⋊C4C2414yes—
734Dic11⋊C4C2414yes—
735Dic11⋊C4C2414yes—
736C4×Dic11C2414yes—
737C4×Dic11C2414yes—
738C4×Dic11C2414yes—
739C4×Dic11C2414yes—
740C4×Dic11C2414yes—
741C4×Dic11C2414yes—
742C4×Dic11C2414yes—
743C4×Dic11C2414yes—
744C4×Dic11C2414yes—
745C4×Dic11C2414yes—
746C4×Dic11C2414yes—
747C4×Dic11C2414yes—
748C4×Dic11C2414yes—
749C4×Dic11C2414yes—
750C4×Dic11C2414yes—
751#3564—1132no—
752C2×#563—111no—
753C2×#563—111no—
754C2×#563—111no—
755C2×#563—111no—
756C2×#556—111no—
757C2×#556—111no—
758C2×#554—111no—
759C2×#554D1111yescharacteristic, complemented
760C2×#552—111no—
761C2×#552—111no—
762C2×#552—111no—
763C2×#552—111no—
764C2×#551—111no—
765C2×#551—111no—
766C2×#551—111no—
767C2×#551—111no—
768C2×#544—111no—
769C2×#543—111no—
770C2×#542—111no—
771C2×#542—111no—
772C2×#541—111no—
773C2×#541—111no—
774C2×#541—111no—
775C2×#541—111no—
776C2×#539—111no—
777C2×#539—111no—
778C2×#539—111no—
779C2×#538—111no—
780C2×#533—111no—
781C2×#529—111no—
782C22×#126—111no—
783C23×C11—22no—
784C23×C11—22no—
785C23×C11—22no—
786C23×C11—22no—
787C23×C11—22no—
788C23×C112−1+414yes—
789C23×C11C2512yes—
790C23×C11C2512yes—
791C23×C11C2511yescharacteristic
792C22×D11—22no—
793C22×D11—22no—
794C22×D11—22no—
795C22×D11—22no—
796C22×D11—22no—
797C22×D11—22no—
798C22×D11—22no—
799C22×D11—22no—
800C22×D11—22no—
801C22×D11—28no—
802C22×D11—44no—
803C22×D11—44no—
804C22×D11—88no—
805C22×D11C2512yes—
806C22×D11C2512yes—
807C22×D11C2512yes—
808Q8×C11—44no—
809Q8×C11—44no—
810Q8×C11—44no—
811D4×C11—28no—
812C2×C4×C11—22no—
813C2×C4×C11—22no—
814C2×C4×C11—22no—
815C2×C4×C11—22no—
816C2×C4×C11—22no—
817C2×C4×C11—22no—
818C2×C4×C11—22no—
819C2×C4×C11—22no—
820C2×C4×C11—22no—
821C2×C4×C11—22no—
822C2×C4×C11—22no—
823C2×C4×C11—22no—
824C2×C4×C11—22no—
825C2×C4×C11—44no—
826C2×C4×C11—44no—
827C2×C4×C11—44no—
828C2×C4×C11—44no—
829C2×C4×C11—44no—
830C2×C4×C11—44no—
831C2×C4×C11C2512yes—
832C2×C4×C11C2512yes—
833C2×C4×C11C2512yes—
834C2×C4×C11C2512yes—
835C2×C4×C11C2512yes—
836C2×C4×C11C2512yes—
837C2×C4×C11C2512yes—
838C2×C4×C11C2512yes—
839C2×C4×C11C2512yes—
840C2×C4×C11C2512yes—
841C2×C4×C11C2512yes—
842C2×C4×C11C2512yes—
843C2×C4×C11C2512yes—
844C22⋊D11—28no—
845C22⋊D11—44no—
846C22⋊D11—44no—
847C22⋊D11—44no—
848C2×Dic11—28no—
849C2×Dic11—28no—
850C2×Dic11—22no—
851C2×Dic11—22no—
852C2×Dic11—22no—
853C2×Dic11—22no—
854C2×Dic11—22no—
855C2×Dic11—22no—
856C2×Dic11—22no—
857C2×Dic11—22no—
858C2×Dic11—22no—
859C2×Dic11—22no—
860C2×Dic11—22no—
861C2×Dic11—22no—
862C2×Dic11—22no—
863C2×Dic11—44no—
864C2×Dic11C2512yes—
865C2×Dic11C2512yes—
866C2×Dic11C2512yes—
867C2×Dic11C2512yes—
868C2×Dic11C2512yes—
869C2×Dic11C2512yes—
870C2×Dic11C2512yes—
871C2×Dic11C2512yes—
872C2×Dic11C2512yes—
873C2×Dic11C2512yes—
874C2×Dic11C2512yes—
875C2×Dic11C2512yes—
876C2×Dic11C2512yes—
877D44—44no—
878D44—44no—
879C4×D11—44no—
880C4×D11—44no—
881C4×D11—44no—
882C4×D11—44no—
883C4×D11—44no—
884C4×D11—44no—
885C4×D11—44no—
886Dic22—44no—
887Dic22—44no—
888Dic22—44no—
889Dic22—44no—
890Dic22—44no—
891Dic22—44no—
892#563—1116no—
893#563—1116no—
894#563—1116no—
895#563—1116no—
896#556—1116no—
897#556—1116no—
898#554—1116no—
899#554C2×D11116yescomplemented
900#552—1116no—
901#552—1116no—
902#552—1116no—
903#552—1116no—
904#551—1116no—
905#551—1116no—
906#551—1116no—
907#551—1116no—
908#544—1116no—
909#543—1116no—
910#542—1116no—
911#542—1116no—
912#541—1116no—
913#541—1116no—
914#541—1116no—
915#541—1116no—
916#539—1116no—
917#539—1116no—
918#539—1116no—
919#538—1116no—
920#533—1116no—
921C2×C4⋊Q8—111no—
922C2×C4⋊Q8—111no—
923C2×C4⋊Q8—111no—
924C2×C4⋊Q8—111no—
925C2×C4⋊Q8—111no—
926C2×C4⋊Q8—111no—
927C2×C4⋊Q8—111no—
928C2×C4⋊Q8C2×D1111yescharacteristic, complemented
929#529—1116no—
930C2×#126—111no—
931C2×#126—111no—
932C2×#126—111no—
933C2×#126—111no—
934C2×#126—111no—
935C2×#126—111no—
936C2×#126—111no—
937C2×#126—111no—
938C2×#126—111no—
939C2×#126—111no—
940C2×#126—111no—
941C2×#126—111no—
942C2×#126—111no—
943C2×#126—111no—
944C2×#126—111no—
945C2×#126—1116no—
946C2×#126—111no—
947C2×#126—111no—
948C2×#126—111no—
949C2×#126—111no—
950C2×#126—111no—
951C2×#126—111no—
952C2×#126—111no—
953C2×#126—111no—
954C2×#126—111no—
955C2×#126—111no—
956C2×#126—111no—
957C2×#125—111no—
958C2×#125—111no—
959C2×#125—111no—
960C2×#125—111no—
961C2×#125—111no—
962C2×#125—111no—
963C2×#125—111no—
964C2×#125—111no—
965C2×#125—111no—
966C2×#125—111no—
967C2×#125—111no—
968C2×#125—111no—
969C2×#125—111no—
970C2×#125—111no—
971C2×#125—111no—
972C2×#125—111no—
973C2×#125—111no—
974C2×#125C2×D1111yescharacteristic, complemented
975C2×#125C2×D1111yescharacteristic, complemented
976C2×#124—111no—
977C2×#124—111no—
978C2×#124—111no—
979C2×#124—111no—
980C2×#124—111no—
981C2×#124—111no—
982C2×#124—111no—
983C2×#123—111no—
984C2×#123—111no—
985C2×#123—111no—
986C2×#123—111no—
987C2×#123—111no—
988C2×#123—111no—
989C2×#123—111no—
990C2×#123—111no—
991C2×#123—111no—
992C2×#123—111no—
993C2×#123—111no—
994C2×#123—111no—
995C2×#123—111no—
996C2×#123—111no—
997C2×#123—111no—
998C2×#123—111no—
999C2×C22⋊Q8—111no—
1000C2×C22⋊Q8—111no—
1001C2×C22⋊Q8—111no—
1002C2×C22⋊Q8—111no—
1003C2×C22⋊Q8—111no—
1004C2×C22⋊Q8—111no—
1005C2×C22⋊Q8—111no—
1006C2×C22⋊Q8—111no—
1007C2×C22⋊Q8—111no—
1008C2×C22⋊Q8—111no—
1009C2×C22⋊Q8—111no—
1010C2×C22⋊Q8—111no—
1011C2×C22⋊Q8—111no—
1012C2×C22⋊Q8—111no—
1013C2×C22⋊Q8—111no—
1014C2×C22⋊Q8—111no—
1015C2×C22⋊Q8—111no—
1016C2×C22⋊Q8—111no—
1017C2×C22⋊Q8—111no—
1018C2×C22⋊Q8—111no—
1019C2×C22⋊Q8—111no—
1020C2×C22⋊Q8—111no—
1021C2×C22⋊Q8—111no—
1022C2×C22⋊Q8—111no—
1023C2×C22⋊Q8—111no—
1024C2×C22⋊Q8C2×D1111yescharacteristic
1025C2×C22⋊Q8C2×D1111yescharacteristic
1026C2×C22⋊Q8C2×D1111yescharacteristic
1027C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1028C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1029C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1030C2×#121—111no—
1031C2×#121—111no—
1032C2×#121—111no—
1033C2×#120—111no—
1034C2×#120—111no—
1035C2×C4×Q8—111no—
1036C2×C4×Q8—111no—
1037C2×C4×Q8—111no—
1038C2×C4×Q8—111no—
1039C2×C4×Q8—111no—
1040C2×C4×Q8—111no—
1041C2×C4×Q8—111no—
1042C2×C4×Q8—111no—
1043C2×C4×Q8C2×D1111yescharacteristic, complemented
1044C2×C4×D4—111no—
1045C2×C4×D4—111no—
1046C2×C4×D4—111no—
1047C2×C4×D4—111no—
1048C2×C4×D4—111no—
1049C2×C4×D4—111no—
1050C2×C4×D4—111no—
1051C2×C4×D4—111no—
1052C2×C4×D4C2×D1111yescharacteristic
1053C2×C4×D4C2×D1111yescharacteristic
1054C2×C4×D4C2×D1111yescharacteristic
1055C2×#117—111no—
1056C2×#117—111no—
1057C2×#117—111no—
1058C2×#117—111no—
1059C2×#117—111no—
1060C2×#117—111no—
1061C2×#117—111no—
1062C2×#117—111no—
1063C2×#117—111no—
1064C2×#117—111no—
1065C2×#117—111no—
1066C2×#117—111no—
1067C22×C4⋊C4—111no—
1068C22×C4⋊C4—111no—
1069C22×C4⋊C4—111no—
1070C22×C4⋊C4C2×D1111yescharacteristic
1071C22×C4⋊C4C2×D1111yescharacteristic, complemented
1072C22×C22⋊C4—111no—
1073C22×C22⋊C4—111no—
1074C22×C22⋊C4—111no—
1075C22×C22⋊C4—111no—
1076C22×C22⋊C4—111no—
1077C22×C42—111no—
1078C22×C11—22no—
1079C22×C11—22no—
1080C22×C11—28no—
1081C22×C11—22no—
1082C22×C11—22no—
1083C22×C11—22no—
1084C22×C11—44no—
1085C22×C11C2×2−1+414yes—
1086C22×C11C2×2−1+412yes—
1087C22×C11#58512yes—
1088C22×C11#58512yes—
1089C22×C11C2611yescharacteristic
1090C2×D11—22no—
1091C2×D11—22no—
1092C2×D11—22no—
1093C2×D11—22no—
1094C2×D11—22no—
1095C2×D11—22no—
1096C2×D11—22no—
1097C2×D11—22no—
1098C2×D11—22no—
1099C2×D11—44no—
1100C2×D11—44no—
1101C2×D11—44no—
1102C2×D11—88no—
1103C4×C11—22no—
1104C4×C11—22no—
1105C4×C11—22no—
1106C4×C11—22no—
1107C4×C11—22no—
1108C4×C11—22no—
1109C4×C11—22no—
1110C4×C11—22no—
1111C4×C11—22no—
1112C4×C11—22no—
1113C4×C11—22no—
1114C4×C11—22no—
1115C4×C11—22no—
1116Dic11—22no—
1117Dic11—22no—
1118Dic11—22no—
1119Dic11—22no—
1120Dic11—22no—
1121Dic11—22no—
1122Dic11—22no—
1123Dic11—22no—
1124Dic11—22no—
1125Dic11—22no—
1126Dic11—22no—
1127Dic11—22no—
1128Dic11—22no—
1129C25—111no—
1130C22×Q8—111no—
1131C22×Q8—111no—
1132C22×Q8—111no—
1133C22×Q8—111no—
1134C22×Q8—111no—
1135C22×Q8—111no—
1136C22×Q8C22×D1111yescharacteristic
1137C22×Q8C22×D1111yescharacteristic
1138C22×Q8C22×D1111yescharacteristic
1139C22×D4—111no—
1140C22×D4—111no—
1141C22×D4—111no—
1142C22×D4—111no—
1143C22×D4—111no—
1144C22×D4—111no—
1145C22×D4C22×D1111yescharacteristic
1146C23×C4—111no—
1147C23×C4—111no—
1148C23×C4—111no—
1149C23×C4—111no—
1150C23×C4—111no—
1151C23×C4—111no—
1152C23×C4—111no—
1153C23×C4—111no—
1154C23×C4—111no—
1155C23×C4—111no—
1156C23×C4C22×D1111yescharacteristic
1157C23×C4C22×D1111yescharacteristic
1158C23×C4C22×D1111yescharacteristic
1159C23×C4C22×D1111yescharacteristic
1160C23×C4C22×D1111yescharacteristic
1161C23×C4C22×D1111yescharacteristic
1162C4⋊Q8—118no—
1163C4⋊Q8—118no—
1164C4⋊Q8—118no—
1165C4⋊Q8—118no—
1166C4⋊Q8—118no—
1167C4⋊Q8—118no—
1168C4⋊Q8—118no—
1169C4⋊Q8C22×D1118yescomplemented
1170#126—118no—
1171#126—118no—
1172#126—118no—
1173#126—118no—
1174#126—118no—
1175#126—118no—
1176#126—118no—
1177#126—118no—
1178#126—118no—
1179#126—118no—
1180#126—118no—
1181#126—118no—
1182#126—118no—
1183#126—118no—
1184#126—118no—
1185#126—118no—
1186#126—118no—
1187#126—118no—
1188#126—118no—
1189#126—118no—
1190#126—118no—
1191#126—118no—
1192#126—118no—
1193#126—118no—
1194#126—118no—
1195#126—118no—
1196#125—118no—
1197#125—118no—
1198#125—118no—
1199#125—118no—
1200#125—118no—
1201#125—118no—
1202#125—118no—
1203#125—118no—
1204#125—118no—
1205#125—118no—
1206#125—118no—
1207#125—118no—
1208#125—118no—
1209#125—118no—
1210#125—118no—
1211#125—118no—
1212#125—118no—
1213#125C22×D1118yescomplemented
1214#125C22×D1118yescomplemented
1215#124—118no—
1216#124—118no—
1217#124—118no—
1218#124—118no—
1219#124—118no—
1220#124—118no—
1221#124—118no—
1222#123—118no—
1223#123—118no—
1224#123—118no—
1225#123—118no—
1226#123—118no—
1227#123—118no—
1228#123—118no—
1229#123—118no—
1230#123—118no—
1231#123—118no—
1232#123—118no—
1233#123—118no—
1234#123—118no—
1235#123—118no—
1236#123—118no—
1237#123—118no—
1238C22⋊Q8—118no—
1239C22⋊Q8—118no—
1240C22⋊Q8—118no—
1241C22⋊Q8—118no—
1242C22⋊Q8—118no—
1243C22⋊Q8—118no—
1244C22⋊Q8—118no—
1245C22⋊Q8—118no—
1246C22⋊Q8—118no—
1247C22⋊Q8—118no—
1248C22⋊Q8—118no—
1249C22⋊Q8—118no—
1250C22⋊Q8—118no—
1251C22⋊Q8—118no—
1252C22⋊Q8—118no—
1253C22⋊Q8—118no—
1254C22⋊Q8—118no—
1255C22⋊Q8—118no—
1256C22⋊Q8—118no—
1257C22⋊Q8—118no—
1258C22⋊Q8—118no—
1259C22⋊Q8—118no—
1260C22⋊Q8—118no—
1261C22⋊Q8—118no—
1262C22⋊Q8—118no—
1263C22⋊Q8C22×D1118yes—
1264C22⋊Q8C22×D1118yes—
1265C22⋊Q8C22×D1118yes—
1266C22⋊Q8C22×D1118yescomplemented
1267C22⋊Q8C22×D1118yescomplemented
1268C22⋊Q8C22×D1118yescomplemented
1269#121—118no—
1270#121—118no—
1271#121—118no—
1272#120—118no—
1273#120—118no—
1274C4×Q8—118no—
1275C4×Q8—118no—
1276C4×Q8—118no—
1277C4×Q8—118no—
1278C4×Q8—118no—
1279C4×Q8—118no—
1280C4×Q8—118no—
1281C4×Q8—118no—
1282C4×Q8C22×D1118yescomplemented
1283C4×D4—118no—
1284C4×D4—118no—
1285C4×D4—118no—
1286C4×D4—118no—
1287C4×D4—118no—
1288C4×D4—118no—
1289C4×D4—118no—
1290C4×D4—118no—
1291C4×D4C22×D1118yes—
1292C4×D4C22×D1118yes—
1293C4×D4C22×D1118yes—
1294#117—118no—
1295#117—118no—
1296#117—118no—
1297#117—118no—
1298#117—118no—
1299#117—118no—
1300#117—118no—
1301#117—118no—
1302#117—118no—
1303#117—118no—
1304#117—118no—
1305#117—118no—
1306C2×C4⋊C4—111no—
1307C2×C4⋊C4—111no—
1308C2×C4⋊C4—111no—
1309C2×C4⋊C4—111no—
1310C2×C4⋊C4—111no—
1311C2×C4⋊C4—111no—
1312C2×C4⋊C4—111no—
1313C2×C4⋊C4—111no—
1314C2×C4⋊C4—111no—
1315C2×C4⋊C4—111no—
1316C2×C4⋊C4—111no—
1317C2×C4⋊C4—118no—
1318C2×C4⋊C4—118no—
1319C2×C4⋊C4—111no—
1320C2×C4⋊C4—111no—
1321C2×C4⋊C4—111no—
1322C2×C4⋊C4—111no—
1323C2×C4⋊C4—111no—
1324C2×C4⋊C4—111no—
1325C2×C4⋊C4—111no—
1326C2×C4⋊C4—111no—
1327C2×C4⋊C4—111no—
1328C2×C4⋊C4—111no—
1329C2×C4⋊C4—111no—
1330C2×C4⋊C4—111no—
1331C2×C4⋊C4—111no—
1332C2×C4⋊C4—111no—
1333C2×C4⋊C4—111no—
1334C2×C4⋊C4—111no—
1335C2×C4⋊C4—111no—
1336C2×C4⋊C4—111no—
1337C2×C4⋊C4—111no—
1338C2×C4⋊C4—111no—
1339C2×C4⋊C4—111no—
1340C2×C4⋊C4—111no—
1341C2×C4⋊C4—111no—
1342C2×C4⋊C4—111no—
1343C2×C4⋊C4—111no—
1344C2×C4⋊C4—111no—
1345C2×C4⋊C4—111no—
1346C2×C4⋊C4—111no—
1347C2×C4⋊C4—111no—
1348C2×C4⋊C4—111no—
1349C2×C4⋊C4—111no—
1350C2×C4⋊C4—111no—
1351C2×C4⋊C4—111no—
1352C2×C4⋊C4—111no—
1353C2×C4⋊C4—111no—
1354C2×C4⋊C4—118no—
1355C2×C4⋊C4C22×D1111yescharacteristic
1356C2×C4⋊C4C22×D1111yescharacteristic
1357C2×C4⋊C4C22×D1111yescharacteristic
1358C2×C4⋊C4C22×D1111yescharacteristic
1359C2×C4⋊C4C22×D1118yes—
1360C2×C4⋊C4C22×D1111yescharacteristic
1361C2×C4⋊C4C22×D1111yescharacteristic
1362C2×C4⋊C4C22×D1111yescharacteristic
1363C2×C4⋊C4C22×D1111yescharacteristic
1364C2×C4⋊C4C22×D1111yescharacteristic
1365C2×C4⋊C4C22×D1111yescharacteristic
1366C2×C4⋊C4C22×D1111yescharacteristic
1367C2×C4⋊C4C22×D1111yescharacteristic
1368C2×C4⋊C4C22×D1111yescharacteristic
1369C2×C4⋊C4C22×D1111yescharacteristic
1370C2×C4⋊C4C22×D1111yescharacteristic
1371C2×C4⋊C4C22×D1111yescharacteristic
1372C2×C4⋊C4C22×D1118yescomplemented
1373C2×C22⋊C4—111no—
1374C2×C22⋊C4—111no—
1375C2×C22⋊C4—111no—
1376C2×C22⋊C4—111no—
1377C2×C22⋊C4—111no—
1378C2×C22⋊C4—111no—
1379C2×C22⋊C4—111no—
1380C2×C22⋊C4—111no—
1381C2×C22⋊C4—111no—
1382C2×C22⋊C4—111no—
1383C2×C22⋊C4—111no—
1384C2×C22⋊C4—111no—
1385C2×C22⋊C4—111no—
1386C2×C22⋊C4—111no—
1387C2×C22⋊C4—111no—
1388C2×C22⋊C4—111no—
1389C2×C22⋊C4—111no—
1390C2×C22⋊C4—111no—
1391C2×C22⋊C4—111no—
1392C2×C22⋊C4—111no—
1393C2×C22⋊C4—111no—
1394C2×C22⋊C4—111no—
1395C2×C22⋊C4—111no—
1396C2×C22⋊C4—111no—
1397C2×C22⋊C4—118no—
1398C2×C22⋊C4—118no—
1399C2×C22⋊C4—118no—
1400C2×C22⋊C4—111no—
1401C2×C22⋊C4—111no—
1402C2×C22⋊C4—111no—
1403C2×C22⋊C4—111no—
1404C2×C22⋊C4—111no—
1405C2×C22⋊C4—111no—
1406C2×C22⋊C4—111no—
1407C2×C22⋊C4—111no—
1408C2×C22⋊C4—111no—
1409C2×C22⋊C4—111no—
1410C2×C22⋊C4—111no—
1411C2×C22⋊C4—111no—
1412C2×C22⋊C4—118no—
1413C2×C22⋊C4—118no—
1414C2×C22⋊C4C22×D1111yescharacteristic
1415C2×C22⋊C4C22×D1111yescharacteristic
1416C2×C22⋊C4C22×D1111yescharacteristic
1417C2×C22⋊C4C22×D1111yescharacteristic
1418C2×C22⋊C4C22×D1111yescharacteristic
1419C2×C22⋊C4C22×D1111yescharacteristic
1420C2×C42—111no—
1421C2×C42—111no—
1422C2×C42—111no—
1423C2×C42—111no—
1424C2×C42—111no—
1425C2×C42—111no—
1426C2×C42—111no—
1427C2×C42—111no—
1428C2×C42—111no—
1429C2×C42—111no—
1430C2×C42—111no—
1431C2×C42—111no—
1432C2×C42—111no—
1433C2×C42—111no—
1434C2×C42—111no—
1435C2×C42—118no—
1436C2×C42C22×D1111yescharacteristic
1437C2×C42C22×D1111yescharacteristic
1438C2×C42C22×D1111yescharacteristic
1439C2×C11—24no—
1440C2×C11—42no—
1441C2×C11#356414yescomplemented
1442C2×C11C22×2−1+411yescharacteristic
1443C2×C11C2×#58511yescharacteristic
1444C2×C11C2×#58511yescharacteristic
1445D11—42no—
1446D11—42no—
1447D11—42no—
1448C24—111no—
1449C24—111no—
1450C24—111no—
1451C24—114no—
1452C24—224no—
1453C24—442no—
1454C24—442no—
1455C24C23×D1111yescharacteristic
1456C24C23×D1111yescharacteristic
1457C2×Q8—42no—
1458C2×Q8—42no—
1459C2×Q8—42no—
1460C2×Q8—114no—
1461C2×Q8—114no—
1462C2×Q8—114no—
1463C2×Q8—114no—
1464C2×Q8—114no—
1465C2×Q8—114no—
1466C2×Q8—442no—
1467C2×Q8—442no—
1468C2×Q8—442no—
1469C2×Q8—442no—
1470C2×Q8—442no—
1471C2×Q8—442no—
1472C2×Q8C23×D1114yes—
1473C2×Q8C23×D1114yes—
1474C2×Q8C23×D1114yes—
1475C2×D4—24no—
1476C2×D4—114no—
1477C2×D4—114no—
1478C2×D4—114no—
1479C2×D4—114no—
1480C2×D4—114no—
1481C2×D4—114no—
1482C2×D4—224no—
1483C2×D4—442no—
1484C2×D4—442no—
1485C2×D4—442no—
1486C2×D4—442no—
1487C2×D4—442no—
1488C2×D4C23×D1114yes—
1489C22×C4—42no—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—114no—
1496C22×C4—114no—
1497C22×C4—111no—
1498C22×C4—111no—
1499C22×C4—111no—
1500C22×C4—111no—
1501C22×C4—111no—
1502C22×C4—111no—
1503C22×C4—111no—
1504C22×C4—111no—
1505C22×C4—111no—
1506C22×C4—111no—
1507C22×C4—111no—
1508C22×C4—111no—
1509C22×C4—111no—
1510C22×C4—114no—
1511C22×C4—114no—
1512C22×C4—114no—
1513C22×C4—114no—
1514C22×C4—114no—
1515C22×C4—114no—
1516C22×C4—114no—
1517C22×C4—114no—
1518C22×C4—224no—
1519C22×C4—224no—
1520C22×C4—442no—
1521C22×C4—442no—
1522C22×C4—442no—
1523C22×C4—442no—
1524C22×C4—442no—
1525C22×C4—442no—
1526C22×C4—442no—
1527C22×C4—442no—
1528C22×C4C23×D1111yescharacteristic
1529C22×C4C23×D1111yescharacteristic
1530C22×C4C23×D1111yescharacteristic
1531C22×C4C23×D1111yescharacteristic
1532C22×C4C23×D1111yescharacteristic
1533C22×C4C23×D1111yescharacteristic
1534C22×C4C23×D1111yescharacteristic
1535C22×C4C23×D1111yescharacteristic
1536C22×C4C23×D1111yescharacteristic
1537C22×C4C23×D1111yescharacteristic
1538C22×C4C23×D1111yescharacteristic
1539C22×C4C23×D1111yescharacteristic
1540C22×C4C23×D1111yescharacteristic
1541C22×C4C23×D1114yes—
1542C22×C4C23×D1114yes—
1543C22×C4C23×D1114yes—
1544C22×C4C23×D1114yes—
1545C22×C4C23×D1114yes—
1546C22×C4C23×D1114yes—
1547C4⋊C4—114no—
1548C4⋊C4—114no—
1549C4⋊C4—114no—
1550C4⋊C4—114no—
1551C4⋊C4—114no—
1552C4⋊C4—114no—
1553C4⋊C4—114no—
1554C4⋊C4—114no—
1555C4⋊C4—114no—
1556C4⋊C4—114no—
1557C4⋊C4—114no—
1558C4⋊C4—114no—
1559C4⋊C4—114no—
1560C4⋊C4—114no—
1561C4⋊C4—114no—
1562C4⋊C4—114no—
1563C4⋊C4—114no—
1564C4⋊C4—114no—
1565C4⋊C4—114no—
1566C4⋊C4—114no—
1567C4⋊C4—114no—
1568C4⋊C4—114no—
1569C4⋊C4—114no—
1570C4⋊C4—114no—
1571C4⋊C4—114no—
1572C4⋊C4—114no—
1573C4⋊C4—114no—
1574C4⋊C4—114no—
1575C4⋊C4—114no—
1576C4⋊C4—114no—
1577C4⋊C4—114no—
1578C4⋊C4—114no—
1579C4⋊C4—114no—
1580C4⋊C4—114no—
1581C4⋊C4—114no—
1582C4⋊C4—114no—
1583C4⋊C4—114no—
1584C4⋊C4—114no—
1585C4⋊C4—114no—
1586C4⋊C4—114no—
1587C4⋊C4—114no—
1588C4⋊C4—114no—
1589C4⋊C4—114no—
1590C4⋊C4—114no—
1591C4⋊C4—114no—
1592C4⋊C4—114no—
1593C4⋊C4C23×D1114yes—
1594C4⋊C4C23×D1114yes—
1595C4⋊C4C23×D1114yes—
1596C4⋊C4C23×D1114yes—
1597C4⋊C4C23×D1114yes—
1598C4⋊C4C23×D1114yes—
1599C4⋊C4C23×D1114yes—
1600C4⋊C4C23×D1114yes—
1601C4⋊C4C23×D1114yes—
1602C4⋊C4C23×D1114yes—
1603C4⋊C4C23×D1114yes—
1604C4⋊C4C23×D1114yes—
1605C4⋊C4C23×D1114yes—
1606C4⋊C4C23×D1114yes—
1607C4⋊C4C23×D1114yes—
1608C4⋊C4C23×D1114yes—
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—114no—
1621C22⋊C4—114no—
1622C22⋊C4—114no—
1623C22⋊C4—114no—
1624C22⋊C4—114no—
1625C22⋊C4—114no—
1626C22⋊C4—114no—
1627C22⋊C4—114no—
1628C22⋊C4—114no—
1629C22⋊C4—114no—
1630C22⋊C4—114no—
1631C22⋊C4—114no—
1632C22⋊C4—114no—
1633C22⋊C4—114no—
1634C22⋊C4—114no—
1635C22⋊C4—114no—
1636C22⋊C4—114no—
1637C22⋊C4—114no—
1638C22⋊C4—114no—
1639C22⋊C4—114no—
1640C22⋊C4—114no—
1641C22⋊C4—114no—
1642C22⋊C4—114no—
1643C22⋊C4—114no—
1644C22⋊C4—114no—
1645C22⋊C4C23×D1114yes—
1646C22⋊C4C23×D1114yes—
1647C22⋊C4C23×D1114yes—
1648C22⋊C4C23×D1114yes—
1649C22⋊C4C23×D1114yes—
1650C22⋊C4C23×D1114yes—
1651C42—114no—
1652C42—114no—
1653C42—114no—
1654C42—114no—
1655C42—114no—
1656C42—114no—
1657C42—114no—
1658C42—114no—
1659C42—114no—
1660C42—114no—
1661C42—114no—
1662C42—114no—
1663C42—114no—
1664C42—114no—
1665C42—114no—
1666C42C23×D1114yes—
1667C42C23×D1114yes—
1668C42C23×D1114yes—
1669C11C2×#356411yescharacteristic, complemented, Sylow
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—112no—
1676C23—112no—
1677C23—112no—
1678C23—222no—
1679C23—222no—
1680C23—222no—
1681C23—222no—
1682C23—222no—
1683C23—222no—
1684C23—222no—
1685C23—222no—
1686C23—222no—
1687C23—228no—
1688C23—444no—
1689C23—444no—
1690C23—888no—
1691C23#6704014yes—
1692C23C24×D1112yes—
1693C23C24×D1112yes—
1694C23C24×D1111yescharacteristic
1695Q8—44no—
1696Q8—44no—
1697Q8—44no—
1698Q8—444no—
1699Q8—444no—
1700Q8—444no—
1701Q8—444no—
1702Q8—444no—
1703Q8—444no—
1704D4—28no—
1705D4—228no—
1706D4—444no—
1707D4—444no—
1708D4—444no—
1709D4—444no—
1710D4—444no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—44no—
1729C2×C4—44no—
1730C2×C4—112no—
1731C2×C4—112no—
1732C2×C4—112no—
1733C2×C4—112no—
1734C2×C4—112no—
1735C2×C4—112no—
1736C2×C4—112no—
1737C2×C4—112no—
1738C2×C4—112no—
1739C2×C4—112no—
1740C2×C4—112no—
1741C2×C4—112no—
1742C2×C4—112no—
1743C2×C4—228no—
1744C2×C4—228no—
1745C2×C4—222no—
1746C2×C4—222no—
1747C2×C4—222no—
1748C2×C4—222no—
1749C2×C4—222no—
1750C2×C4—222no—
1751C2×C4—222no—
1752C2×C4—222no—
1753C2×C4—222no—
1754C2×C4—222no—
1755C2×C4—222no—
1756C2×C4—222no—
1757C2×C4—222no—
1758C2×C4—444no—
1759C2×C4—444no—
1760C2×C4—444no—
1761C2×C4—444no—
1762C2×C4—444no—
1763C2×C4—444no—
1764C2×C4—444no—
1765C2×C4—444no—
1766C2×C4C24×D1112yes—
1767C2×C4C24×D1112yes—
1768C2×C4C24×D1112yes—
1769C2×C4C24×D1112yes—
1770C2×C4C24×D1112yes—
1771C2×C4C24×D1112yes—
1772C2×C4C24×D1112yes—
1773C2×C4C24×D1112yes—
1774C2×C4C24×D1112yes—
1775C2×C4C24×D1112yes—
1776C2×C4C24×D1112yes—
1777C2×C4C24×D1112yes—
1778C2×C4C24×D1112yes—
1779C22—22no—
1780C22—22no—
1781C22—28no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—44no—
1786C22—222no—
1787C22—222no—
1788C22—222no—
1789C22—222no—
1790C22—222no—
1791C22—222no—
1792C22—222no—
1793C22—222no—
1794C22—222no—
1795C22—444no—
1796C22—444no—
1797C22—444no—
1798C22—888no—
1799C22C2×#6704014yes—
1800C22C2×#6704012yes—
1801C22#1062345312yes—
1802C22#1062345512yes—
1803C22C25×D1111yescharacteristic
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—22no—
1813C4—22no—
1814C4—22no—
1815C4—22no—
1816C4—22no—
1817C4—222no—
1818C4—222no—
1819C4—222no—
1820C4—222no—
1821C4—222no—
1822C4—222no—
1823C4—222no—
1824C4—222no—
1825C4—222no—
1826C4—222no—
1827C4—222no—
1828C4—222no—
1829C4—222no—
1830C2—24no—
1831C2—42no—
1832C2—442no—
1833C2—442no—
1834C2—442no—
1835C2#1308323914yesdirect product factor
1836C2C22×#6704011yescharacteristic
1837C2C2×#1062345511yescharacteristic
1838C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#554C2
socleC23×C11C25
prime radicalC2×#10623091C2
hypercenterC2×#554D11
hypocenterC11C2×#3564
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#554

Complements

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

NH ≅ G/Ntype
1. #13083239C2direct (N × H)
2. C2×#10623230C2semidirect
3. C2×#10623177C2semidirect
4. C2×#10623177C2semidirect
5. C2×#10623266C2semidirect
6. C2×#10623099C2semidirect
7. C2×#10623172C2semidirect
8. C2×#10623042C2semidirect
9. C2×#10623173C2semidirect
10. C2×#10623072C2semidirect
11. C2×#10623044C2semidirect
12. C2×#10623224C2semidirect
13. C2×#10623087C2semidirect
14. C2×#10623087C2semidirect
15. C2×#10623168C2semidirect
16. C2×#10623168C2semidirect
17. C2×#10623154C2semidirect
18. C2×#10623165C2semidirect
19. C2×#10623174C2semidirect
20. C2×#10623171C2semidirect
21. C2×#10623262C2semidirect
22. C2×#10623227C2semidirect
23. C2×#10623227C2semidirect
24. C2×#10623114C2semidirect
25. C2×#10623046C2semidirect
26. C2×#10623169C2semidirect
27. C2×#10623095C2semidirect
29. C2×#10623153C2semidirect
30. C2×#10623069C2semidirect
31. C22×#66951C2semidirect
32. C2×C11×#554C2semidirect
33. C11×#554C22semidirect
34. C2×C11×C4⋊Q8C22semidirect
35. C2×C11×#125C22semidirect
36. C2×C11×#125C22semidirect
40. C2×C11×C22⋊Q8C22semidirect
41. C2×C11×C22⋊Q8C22semidirect
42. C2×C11×C22⋊Q8C22semidirect
43. C2×C4×Q8×C11C22semidirect
48. C22×C11×C4⋊C4C22semidirect
55. C2×#66999C22semidirect
56. C2×Q8×Dic11C22semidirect
57. C2×Q8×Dic11C22semidirect
58. C2×#66997C22semidirect
59. C2×#66997C22semidirect
60. C2×#66997C22semidirect
69. C2×#66982C22semidirect
75. C2×C4×C22⋊D11C22semidirect
79. C2×#66979C22semidirect
80. C2×#66979C22semidirect
85. C2×#66977C22semidirect
86. C2×#66977C22semidirect
89. #10623266C22semidirect
90. #10623262C22semidirect
91. #10623230C22semidirect
92. #10623227C22semidirect
93. #10623227C22semidirect
94. #10623224C22semidirect
95. #10623177C22semidirect
96. #10623177C22semidirect
97. #10623174C22semidirect
98. #10623173C22semidirect
99. #10623172C22semidirect
100. #10623171C22semidirect
101. #10623169C22semidirect
102. #10623168C22semidirect
103. #10623168C22semidirect
104. #10623165C22semidirect
105. #10623154C22semidirect
106. #10623153C22semidirect
107. #10623114C22semidirect
108. #10623099C22semidirect
109. #10623095C22semidirect
111. #10623087C22semidirect
112. #10623087C22semidirect
113. #10623072C22semidirect
114. #10623069C22semidirect
115. #10623046C22semidirect
116. #10623044C22semidirect
132. C2×#66951C22semidirect
133. C2×#66951C22semidirect
134. C2×#66951C22semidirect
135. C2×#66951C22semidirect
136. #10623042C22semidirect
139. C2×#66950C22semidirect
146. C2×#66949C22semidirect
147. C2×#66949C22semidirect
148. C2×#66949C22semidirect
158. C2×#66945C22semidirect
159. C2×C4⋊C4×D11C22semidirect
160. C2×#66943C22semidirect
161. C2×#66943C22semidirect
162. C2×#66943C22semidirect
163. C2×#66942C22semidirect
164. C2×#66942C22semidirect
165. C2×#66942C22semidirect
166. C2×#66942C22semidirect
167. C2×#66942C22semidirect
168. C2×#66942C22semidirect
169. C2×#66942C22semidirect
170. C2×#66942C22semidirect
171. C2×#66942C22semidirect
172. C2×#66942C22semidirect
173. C2×#66942C22semidirect
174. C2×#66942C22semidirect
175. C2×#66941C22semidirect
176. C2×#66941C22semidirect
177. C2×#66941C22semidirect
178. C2×#66941C22semidirect
179. C2×#66940C22semidirect
180. C2×#66940C22semidirect
181. C2×#66940C22semidirect
182. C2×#66940C22semidirect
188. C2×#66938C22semidirect
192. C2×#66936C22semidirect
196. C2×#66932C22semidirect
197. C2×#66932C22semidirect
198. C2×#66932C22semidirect
199. C2×#66932C22semidirect
210. C2×#66929C22semidirect
214. C2×#66925C22semidirect
215. C2×#66923C22semidirect
216. C2×#66923C22semidirect
217. C2×C4×Dic22C22semidirect
218. C2×C4×Dic22C22semidirect
252. C11×C4⋊Q8C23semidirect
253. C11×#125C23semidirect
254. C11×#125C23semidirect
258. C11×C22⋊Q8C23semidirect
259. C11×C22⋊Q8C23semidirect
260. C11×C22⋊Q8C23semidirect
261. C4×Q8×C11C23semidirect
282. C2×C11×C4⋊C4C23semidirect
306. #66999C23semidirect
307. Q8×Dic11C23semidirect
308. Q8×Dic11C23semidirect
309. #66997C23semidirect
310. #66997C23semidirect
311. #66997C23semidirect
320. #66982C23semidirect
326. C4×C22⋊D11C23semidirect
358. #66979C23semidirect
359. #66979C23semidirect
378. #66977C23semidirect
379. #66977C23semidirect
444. #66951C23semidirect
445. #66951C23semidirect
446. #66951C23semidirect
449. #66950C23semidirect
456. #66949C23semidirect
457. #66949C23semidirect
458. #66949C23semidirect
468. #66945C23semidirect
469. C4⋊C4×D11C23semidirect
470. #66943C23semidirect
471. #66943C23semidirect
472. #66943C23semidirect
473. #66942C23semidirect
474. #66942C23semidirect
475. #66942C23semidirect
476. #66942C23semidirect
477. #66942C23semidirect
478. #66942C23semidirect
479. #66942C23semidirect
480. #66942C23semidirect
481. #66942C23semidirect
482. #66942C23semidirect
483. #66942C23semidirect
484. #66942C23semidirect
485. #66941C23semidirect
486. #66941C23semidirect
487. #66941C23semidirect
488. #66941C23semidirect
489. #66940C23semidirect
490. #66940C23semidirect
491. #66940C23semidirect
492. #66940C23semidirect
498. #66938C23semidirect
502. #66936C23semidirect
506. #66932C23semidirect
507. #66932C23semidirect
508. #66932C23semidirect
509. #66932C23semidirect
520. #66929C23semidirect
524. #66925C23semidirect
525. #66923C23semidirect
526. #66923C23semidirect
527. C4×Dic22C23semidirect
528. C4×Dic22C23semidirect
759. C2×#554D11semidirect
899. #554C2×D11semidirect
928. C2×C4⋊Q8C2×D11semidirect
974. C2×#125C2×D11semidirect
975. C2×#125C2×D11semidirect
1027. C2×C22⋊Q8C2×D11semidirect
1028. C2×C22⋊Q8C2×D11semidirect
1029. C2×C22⋊Q8C2×D11semidirect
1043. C2×C4×Q8C2×D11semidirect
1071. C22×C4⋊C4C2×D11semidirect
1169. C4⋊Q8C22×D11semidirect
1213. #125C22×D11semidirect
1214. #125C22×D11semidirect
1266. C22⋊Q8C22×D11semidirect
1267. C22⋊Q8C22×D11semidirect
1268. C22⋊Q8C22×D11semidirect
1282. C4×Q8C22×D11semidirect
1372. C2×C4⋊C4C22×D11semidirect
1441. C2×C11#3564semidirect
1669. C11C2×#3564semidirect
1835. C2#13083239direct (N × H)

Maximal subgroups

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

subgroupindex
#130832392
C2×#106232302
C2×#106231772
C2×#106232662
C2×#106230992
C2×#106231722
C2×#106230422
C2×#106231732
C2×#106230722
C2×#106230442
C2×#106232242
C2×#106230872
C2×#106231682
C2×#106231542
C2×#106231652
C2×#106231742
C2×#106231712
C2×#106232622
C2×#106232272
C2×#106231142
C2×#106230462
C2×#106231692
C2×#106230952
C2×#106230912
C2×#106231532
C2×#106230692
C22×#669512
C2×C11×#5542
C2×#356411