Finite Group Databasebeta

← C2×#13082451 #15661693

Subgroups — C2×#13082451 #15661693

Order 2816.

8082 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082451C2132yesmaximal, direct product factor
2C2×#10623226C211yesmaximal, characteristic, complemented
3C2×#10623240C212yesmaximal, complemented
4C2×#10623089C211yesmaximal, characteristic, complemented
5C2×#10623061C212yesmaximal, complemented
6C2×#10623112C211yesmaximal, characteristic, complemented
7C2×#10623225C211yesmaximal, characteristic, complemented
8C2×#10623236C212yesmaximal, complemented
9C2×#10623058C212yesmaximal, complemented
10C2×#10623107C211yesmaximal, characteristic, complemented
11C2×#10623208C211yesmaximal, characteristic, complemented
12C2×#10623085C211yesmaximal, characteristic, complemented
13C2×#10623207C211yesmaximal, characteristic, complemented
14C2×#10623196C212yesmaximal, complemented
15C2×#10623091C212yesmaximal, complemented
16C2×#10623184C212yesmaximal, complemented
17C2×#10623010C211yesmaximal, characteristic, complemented
18C2×#10623158C211yesmaximal, characteristic, complemented
19C2×#10623137C211yesmaximal, characteristic, complemented
20C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
21C2×D11×#121C211yesmaximal, characteristic, complemented
22C2×#10623076C212yesmaximal, complemented
23C22×C4×D44C211yesmaximal, characteristic, complemented
24C2×C11×#529C211yesmaximal, characteristic, complemented
25C22×#4343C2211yescharacteristic, complemented
26C22×Q8×D11C2211yescharacteristic, complemented
27C22×#4341C2211yescharacteristic, complemented
28C22×D4×D11C2212yes—
29C22×D4×D11C2211yescharacteristic, complemented
30C23×D44C2211yescharacteristic
31C23×C4×D11C2211yescharacteristic
32C23×C4×D11C2211yescharacteristic, complemented
33C11×#529C22116yescomplemented
34C2×C11×#126C2212yescomplemented
35C2×C11×#125C2211yescharacteristic, complemented
36C2×C11×#124C2211yescharacteristic, complemented
37C2×C11×#123C2212yescomplemented
38C2×C11×C22⋊Q8C2211yescharacteristic, complemented
39C2×C11×#121C2211yescharacteristic
40C2×C4×Q8×C11C2211yescharacteristic, complemented
41C2×C4×D4×C11C2211yescharacteristic, complemented
42C2×C4×D4×C11C2212yescomplemented
43C2×C11×#117C2212yescomplemented
44C22×C42×C11C2211yescharacteristic, complemented
45C2×#66999C2211yescharacteristic, complemented
46C2×#66999C2211yescharacteristic, complemented
47C2×#66992C2212yes—
48C2×#66991C2211yescharacteristic, complemented
49C2×#66991C2211yescharacteristic, complemented
50C2×#66990C2212yescomplemented
51C2×D4×Dic11C2212yescomplemented
52C2×#66983C2211yescharacteristic
53C2×#66983C2212yescomplemented
54C2×#66982C2212yescomplemented
55C2×#66982C2212yescomplemented
56C2×C4×C22⋊D11C2212yescomplemented
57C2×C4×C22⋊D11C2212yescomplemented
58C22×(C2×D11)⋊C4C2211yescharacteristic
59C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
60C22×(C2×D11)⋊C4C2212yescomplemented
61C22×C4⋊Dic11C2211yescharacteristic, complemented
62C2×#66977C2211yescharacteristic, complemented
63#10623240C22132yescomplemented
64#10623236C22132yescomplemented
65#10623226C22116yescomplemented
66#10623225C22116yescomplemented
67#10623208C22116yescomplemented
68#10623207C22116yescomplemented
69#10623196C22132yescomplemented
70#10623184C22132yescomplemented
71#10623158C22116yescomplemented
72D11×C22⋊Q8C22116yescomplemented
73#10623137C22116yescomplemented
74D11×#121C22116yescomplemented
75#10623112C22116yescomplemented
76#10623107C22116yescomplemented
77#10623091C22132yescomplemented
78#10623089C22116yescomplemented
79#10623085C22116yescomplemented
80#10623076C22132yescomplemented
81#10623061C22132yescomplemented
82#10623058C22132yescomplemented
83C2×#66951C2212yescomplemented
84C2×#66951C2212yescomplemented
85C2×#66950C2212yescomplemented
86C2×#66950C2211yescharacteristic, complemented
87C2×#66950C2211yescharacteristic, complemented
88C2×#66949C2212yescomplemented
89C2×#66948C2211yescharacteristic, complemented
90C2×#66948C2212yescomplemented
91C2×#66948C2212yescomplemented
92C2×#66948C2211yescharacteristic, complemented
93C2×#66947C2212yes—
94C2×#66947C2212yes—
95C2×#66947C2212yescomplemented
96C2×#66947C2212yescomplemented
97C2×#66946C2212yescomplemented
98C2×#66946C2212yescomplemented
99C2×#66945C2212yescomplemented
100C2×#66945C2211yescharacteristic, complemented
101C2×#66945C2211yescharacteristic, complemented
102C2×C4⋊C4×D11C2211yescharacteristic, complemented
103C2×C4⋊C4×D11C2212yescomplemented
104C2×C4⋊C4×D11C2211yescharacteristic, complemented
105C2×#66943C2212yescomplemented
106C2×#66942C2212yescomplemented
107C2×#66939C2212yescomplemented
108C2×#66938C2212yescomplemented
109C2×#66937C2212yescomplemented
110C2×#66937C2212yescomplemented
111C2×#66937C2212yescomplemented
112C2×#66937C2212yescomplemented
113C2×#66936C2212yescomplemented
114C2×#66936C2212yescomplemented
115C2×#66935C2212yes—
116C2×#66935C2212yes—
117C2×#66935C2212yescomplemented
118C2×(C22⋊D11)⋊C4C2212yescomplemented
119C2×(C22⋊D11)⋊C4C2212yescomplemented
120C2×(C22⋊D11)⋊C4C2212yescomplemented
121C2×C22⋊C4×D11C2212yes—
122C2×C22⋊C4×D11C2212yescomplemented
123C2×C22⋊C4×D11C2212yescomplemented
124C2×#66932C2212yescomplemented
125C2×#66931C2212yescomplemented
126C2×#66931C2212yescomplemented
127#10623010C22116yescomplemented
128C2×#66929C2212yescomplemented
129C2×#66929C2212yescomplemented
130C2×#66928C2211yescharacteristic, complemented
131C2×#66928C2212yescomplemented
132C2×C4×D44C2211yescharacteristic
133C2×C4×D44C2211yescharacteristic
134C2×C4×D44C2211yescharacteristic
135C2×C4×D44C2211yescharacteristic
136C2×C4×D44C22116yescomplemented
137C2×C4×D44C2211yescharacteristic, complemented
138C2×C4×D44C2212yescomplemented
139C2×C4×D44C2211yescharacteristic, complemented
140C2×C4×D44C2211yescharacteristic, complemented
141C2×C4×D44C2211yescharacteristic, complemented
142C2×C4×D44C2211yescharacteristic, complemented
143C2×#66925C2212yescomplemented
144C2×#66925C2212yescomplemented
145C2×#66923C2211yescharacteristic, complemented
146C2×C4×Dic22C2211yescharacteristic, complemented
147C24×D11C2312yes—
148C24×D11C2311yescharacteristic
149C24×D11C2311yescharacteristic
150C22×Q8×C11C2311yescharacteristic
151C22×D4×C11C2312yes—
152C22×D4×C11C2311yescharacteristic
153C23×C4×C11C2311yescharacteristic
154C23×C4×C11C2311yescharacteristic
155C23×C4×C11C2311yescharacteristic
156C23×C4×C11C2312yes—
157C22×C22⋊D11C2312yes—
158C22×C22⋊D11C2312yes—
159C22×C22⋊D11C2312yes—
160C22×C22⋊D11C2312yes—
161C22×C22⋊D11C2312yes—
162C23×Dic11C2311yescharacteristic
163C23×Dic11C2312yes—
164C23×Dic11C2311yescharacteristic
165C2×#4343—44no—
166C2×#4343C2318yescomplemented
167C2×Q8×D11—44no—
168C2×Q8×D11C2318yescomplemented
169C2×#4341—44no—
170C2×#4341C2318yescomplemented
171C2×D4×D11—216no—
172C2×D4×D11—44no—
173C2×D4×D11C23116yes—
174C2×D4×D11C2318yescomplemented
175C22×D44—28no—
176C22×D44C2311yescharacteristic
177C22×D44C2311yescharacteristic
178C22×D44C2311yescharacteristic
179C22×D44C2311yescharacteristic
180C22×D44C2318yes—
181C22×D44C2311yescharacteristic
182C22×D44C2312yes—
183C22×D44C2312yes—
184C22×D44C2312yes—
185C22×C4×D11—44no—
186C22×C4×D11—44no—
187C22×C4×D11C2312yes—
188C22×C4×D11C2311yescharacteristic
189C22×C4×D11C2311yescharacteristic
190C22×C4×D11C2311yescharacteristic
191C22×C4×D11C2311yescharacteristic
192C22×C4×D11C2312yes—
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2318yes—
198C22×C4×D11C2312yes—
199C22×C4×D11C2312yes—
200C22×C4×D11C2312yes—
201C22×C4×D11C2318yescomplemented
202C22×Dic22C2311yescharacteristic
203C22×Dic22C2312yes—
204C11×#126C23116yescomplemented
205C11×#125C2318yescomplemented
206C11×#124C2318yescomplemented
207C11×#123C23116yescomplemented
208C11×C22⋊Q8C2318yescomplemented
209C11×#121C2318yes—
210C4×Q8×C11C2318yescomplemented
211C4×D4×C11C23116yescomplemented
212C4×D4×C11C2318yescomplemented
213C11×#117C23116yescomplemented
214C2×C11×C4⋊C4C2312yes—
215C2×C11×C4⋊C4C2312yes—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2312yes—
219C2×C11×C4⋊C4C2312yes—
220C2×C11×C22⋊C4C2312yes—
221C2×C11×C22⋊C4C2312yes—
222C2×C11×C22⋊C4C2312yes—
223C2×C11×C22⋊C4C2312yes—
224C2×C11×C22⋊C4C2312yes—
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2312yes—
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2318yescomplemented
231C2×C22⋊Dic11C2312yes—
232C2×C22⋊Dic11C2312yes—
233C2×C22⋊Dic11C2312yes—
234#66999C2318yescomplemented
235#66999C2318yescomplemented
236#66992C23116yes—
237#66991C2318yescomplemented
238#66991C2318yescomplemented
239#66990C23116yescomplemented
240D4×Dic11C23116yescomplemented
241#66983C2318yes—
242#66983C23116yescomplemented
243#66982C23116yescomplemented
244#66982C23116yescomplemented
245C4×C22⋊D11C23116yescomplemented
246C4×C22⋊D11C23116yescomplemented
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2312yes—
249C2×(C2×D11)⋊C4C2312yes—
250C2×(C2×D11)⋊C4C2312yes—
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2318yes—
259C2×(C2×D11)⋊C4C2312yes—
260C2×(C2×D11)⋊C4C2312yes—
261C2×(C2×D11)⋊C4C2312yes—
262C2×(C2×D11)⋊C4C2312yes—
263C2×(C2×D11)⋊C4C2312yes—
264C2×(C2×D11)⋊C4C2312yes—
265C2×(C2×D11)⋊C4C2312yes—
266C2×(C2×D11)⋊C4C2312yes—
267C2×(C2×D11)⋊C4C2312yes—
268C2×(C2×D11)⋊C4C2318yescomplemented
269C2×(C2×D11)⋊C4C23116yescomplemented
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2312yes—
277C2×C4⋊Dic11C2312yes—
278C2×C4⋊Dic11C2318yescomplemented
279#66977C2318yescomplemented
280C2×Dic11⋊C4C2312yes—
281C2×Dic11⋊C4C2312yes—
282C2×Dic11⋊C4C2312yes—
283C2×Dic11⋊C4C2312yes—
284C2×Dic11⋊C4C2312yes—
285C2×Dic11⋊C4C2312yes—
286C2×Dic11⋊C4C2312yes—
287C2×Dic11⋊C4C2312yes—
288C2×C4×Dic11C2312yes—
289C2×C4×Dic11C2312yes—
290C2×C4×Dic11C2312yes—
291#66951C23116yescomplemented
292#66951C23116yescomplemented
293#66950C23116yescomplemented
294#66950C2318yescomplemented
295#66950C2318yescomplemented
296#66949C23116yescomplemented
297#66948C23116yescomplemented
298#66948C23116yescomplemented
299#66948C2318yescomplemented
300#66948C2318yescomplemented
301#66947C23116yes—
302#66947C23116yes—
303#66947C23116yescomplemented
304#66947C23116yescomplemented
305#66946C23116yescomplemented
306#66946C23116yescomplemented
307#66945C23116yescomplemented
308#66945C2318yescomplemented
309#66945C2318yescomplemented
310C4⋊C4×D11C23116yescomplemented
311C4⋊C4×D11C2318yescomplemented
312C4⋊C4×D11C2318yescomplemented
313#66943C23116yescomplemented
314#66942C23116yescomplemented
315#66939C23116yescomplemented
316#66938C23116yescomplemented
317#66937C23116yescomplemented
318#66937C23116yescomplemented
319#66937C23116yescomplemented
320#66937C23116yescomplemented
321#66936C23116yescomplemented
322#66936C23116yescomplemented
323#66935C23116yes—
324#66935C23116yes—
325#66935C23116yescomplemented
326(C22⋊D11)⋊C4C23116yescomplemented
327(C22⋊D11)⋊C4C23116yescomplemented
328(C22⋊D11)⋊C4C23116yescomplemented
329C22⋊C4×D11C23116yes—
330C22⋊C4×D11C23116yescomplemented
331C22⋊C4×D11C23116yescomplemented
332#66932C23116yescomplemented
333#66931C23116yescomplemented
334#66931C23116yescomplemented
335#66929C23116yescomplemented
336#66929C23116yescomplemented
337#66928C2318yescomplemented
338#66928C23116yescomplemented
339C4×D44C2318yes—
340C4×D44C2318yes—
341C4×D44C2318yes—
342C4×D44C2318yes—
343C4×D44C2318yescomplemented
344C4×D44C2318yescomplemented
345C4×D44C2318yescomplemented
346C4×D44C2318yescomplemented
347C4×D44C2318yescomplemented
348C4×D44C23116yescomplemented
349#66925C23116yescomplemented
350#66925C23116yescomplemented
351#66923C2318yescomplemented
352C4×Dic22C2318yescomplemented
353C2×#3505—111nomaximal, Sylow
354C24×C11C2412yes—
355C24×C11C2411yescharacteristic
356C23×D11—24no—
357C23×D11—28no—
358C23×D11—42no—
359C23×D11—42no—
360C23×D11—42no—
361C23×D11—42no—
362C23×D11—44no—
363C23×D11—44no—
364C23×D11#4118yescomplemented
365C23×D11C2411yescharacteristic
366C23×D11C2411yescharacteristic
367C23×D11C2412yes—
368C23×D11C2411yescharacteristic
369C23×D11C2411yescharacteristic
370C23×D11C2418yes—
371C23×D11C2414yes—
372C23×D11C2414yes—
373C2×Q8×C11—24no—
374C2×Q8×C11C2414yes—
375C2×D4×C11—28no—
376C2×D4×C11—24no—
377C2×D4×C11C2418yes—
378C2×D4×C11C2414yes—
379C22×C4×C11—24no—
380C22×C4×C11—24no—
381C22×C4×C11—42no—
382C22×C4×C11—44no—
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2412yes—
385C22×C4×C11C2412yes—
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2412yes—
391C22×C4×C11C2414yes—
392C22×C4×C11C2414yes—
393C22×C4×C11C2414yes—
394C22×C4×C11C2418yes—
395C22×C4×C11C2411yescharacteristic
396C2×C22⋊D11—28no—
397C2×C22⋊D11—28no—
398C2×C22⋊D11—44no—
399C2×C22⋊D11—44no—
400C2×C22⋊D11—44no—
401C2×C22⋊D11C2418yes—
402C2×C22⋊D11C2418yes—
403C2×C22⋊D11C2418yes—
404C2×C22⋊D11C2418yes—
405C2×C22⋊D11C2418yes—
406C22×Dic11—42no—
407C22×Dic11—42no—
408C22×Dic11—44no—
409C22×Dic11C2412yes—
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2412yes—
413C22×Dic11C2412yes—
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2414yes—
417C22×Dic11C2418yes—
418C22×Dic11C2414yes—
419#4343—416no—
420Q8×D11—416no—
421#4341—416no—
422D4×D11—264no—
423D4×D11—416no—
424C2×D44—24no—
425C2×D44—24no—
426C2×D44—24no—
427C2×D44—24no—
428C2×D44—28no—
429C2×D44—232no—
430C2×D44—24no—
431C2×D44—44no—
432C2×D44—44no—
433C2×D44C2414yes—
434C2×D44C2414yes—
435C2×D44C2414yes—
436C2×D44C2414yes—
437C2×D44C2414yes—
438C2×D44C2418yes—
439C2×D44C2418yes—
440C2×D44C2418yes—
441C2×C4×D11—28no—
442C2×C4×D11—24no—
443C2×C4×D11—24no—
444C2×C4×D11—24no—
445C2×C4×D11—24no—
446C2×C4×D11—42no—
447C2×C4×D11—42no—
448C2×C4×D11—42no—
449C2×C4×D11—42no—
450C2×C4×D11—44no—
451C2×C4×D11—44no—
452C2×C4×D11—44no—
453C2×C4×D11—44no—
454C2×C4×D11—416no—
455C2×C4×D11—416no—
456C2×C4×D11C2418yes—
457C2×C4×D11C2414yes—
458C2×C4×D11C2414yes—
459C2×C4×D11C2414yes—
460C2×C4×D11C2414yes—
461C2×C4×D11C2418yes—
462C2×C4×D11C2414yes—
463C2×C4×D11C2414yes—
464C2×C4×D11C2414yes—
465C2×C4×D11C2414yes—
466C2×C4×D11C2418yes—
467C2×C4×D11C2418yes—
468C2×C4×D11C2418yes—
469C2×Dic22—24no—
470C2×Dic22—44no—
471C2×Dic22C2414yes—
472C2×Dic22C2418yes—
473C11×C4⋊C4C2418yes—
474C11×C4⋊C4C2418yes—
475C11×C4⋊C4C2414yes—
476C11×C4⋊C4C2414yes—
477C11×C4⋊C4C2418yes—
478C11×C4⋊C4C2418yes—
479C11×C22⋊C4C2418yes—
480C11×C22⋊C4C2418yes—
481C11×C22⋊C4C2418yes—
482C11×C22⋊C4C2418yes—
483C11×C22⋊C4C2418yes—
484C42×C11C2414yes—
485C42×C11C2414yes—
486C42×C11C2414yes—
487C42×C11C2418yes—
488C42×C11C2414yes—
489C22⋊Dic11C2418yes—
490C22⋊Dic11C2418yes—
491C22⋊Dic11C2418yes—
492(C2×D11)⋊C4C2414yes—
493(C2×D11)⋊C4C2418yes—
494(C2×D11)⋊C4C2418yes—
495(C2×D11)⋊C4C2418yes—
496(C2×D11)⋊C4C2414yes—
497(C2×D11)⋊C4C2414yes—
498(C2×D11)⋊C4C2414yes—
499(C2×D11)⋊C4C2414yes—
500(C2×D11)⋊C4C2414yes—
501(C2×D11)⋊C4C2414yes—
502(C2×D11)⋊C4C2414yes—
503(C2×D11)⋊C4C2418yes—
504(C2×D11)⋊C4C2418yes—
505(C2×D11)⋊C4C2418yes—
506(C2×D11)⋊C4C2418yes—
507(C2×D11)⋊C4C2418yes—
508(C2×D11)⋊C4C2418yes—
509(C2×D11)⋊C4C2418yes—
510(C2×D11)⋊C4C2418yes—
511(C2×D11)⋊C4C2418yes—
512C4⋊Dic11C2414yes—
513C4⋊Dic11C2414yes—
514C4⋊Dic11C2414yes—
515C4⋊Dic11C2414yes—
516C4⋊Dic11C2414yes—
517C4⋊Dic11C2414yes—
518C4⋊Dic11C2418yes—
519C4⋊Dic11C2418yes—
520Dic11⋊C4C2418yes—
521Dic11⋊C4C2418yes—
522Dic11⋊C4C2418yes—
523Dic11⋊C4C2418yes—
524Dic11⋊C4C2418yes—
525Dic11⋊C4C2418yes—
526Dic11⋊C4C2418yes—
527Dic11⋊C4C2418yes—
528C4×Dic11C2418yes—
529C4×Dic11C2418yes—
530C4×Dic11C2418yes—
531#3505—1132no—
532C2×#553—112no—
533C2×#553—111no—
534C2×#553—111no—
535C2×#553—112no—
536C2×#552—111no—
537C2×#552—111no—
538C2×#551—112no—
539C2×#551—112no—
540C2×#548—111no—
541C2×#548—111no—
542C2×#546—111no—
543C2×#546—111no—
544C2×#539—112no—
545C2×#538—112no—
546C2×#534—112no—
547C2×#529—111no—
548C2×#529D1111yescharacteristic, complemented
549C2×#525—111no—
550C2×#525—111no—
551C22×C22⋊Q8—111no—
552C22×#121—111no—
553C2×#518—112no—
554C22×C4×D4—111no—
555C23×C11—22no—
556C23×C11—22no—
557C23×C11—24no—
558C23×C11—24no—
559C23×C11—24no—
560C23×C11C2×#4114yes—
561C23×C11C2514yes—
562C23×C11C2512yes—
563C23×C11C2511yescharacteristic
564C22×D11—22no—
565C22×D11—22no—
566C22×D11—22no—
567C22×D11—22no—
568C22×D11—28no—
569C22×D11—22no—
570C22×D11—22no—
571C22×D11—24no—
572C22×D11—22no—
573C22×D11—22no—
574C22×D11—24no—
575C22×D11—24no—
576C22×D11—22no—
577C22×D11—22no—
578C22×D11—216no—
579C22×D11—44no—
580C22×D11—44no—
581C22×D11—416no—
582C22×D11—44no—
583C22×D11—44no—
584C22×D11—48no—
585C22×D11—48no—
586C22×D11—416no—
587C22×D11—816no—
588C22×D11C2×#4114yes—
589C22×D11C2×#4114yes—
590C22×D11C2×#41116yescomplemented
591C22×D11C2512yes—
592C22×D11C2512yes—
593C22×D11C2514yes—
594C22×D11C2512yes—
595C22×D11C2512yes—
596Q8×C11—28no—
597D4×C11—216no—
598D4×C11—28no—
599C2×C4×C11—24no—
600C2×C4×C11—28no—
601C2×C4×C11—22no—
602C2×C4×C11—22no—
603C2×C4×C11—24no—
604C2×C4×C11—22no—
605C2×C4×C11—22no—
606C2×C4×C11—24no—
607C2×C4×C11—22no—
608C2×C4×C11—28no—
609C2×C4×C11—44no—
610C2×C4×C11—48no—
611C2×C4×C11H(5,𝔽2)14yes—
612C2×C4×C11C2512yes—
613C2×C4×C11C2514yes—
614C2×C4×C11C2514yes—
615C2×C4×C11C2512yes—
616C2×C4×C11C2512yes—
617C2×C4×C11C2512yes—
618C2×C4×C11C2512yes—
619C2×C4×C11C2514yes—
620C2×C4×C11C2512yes—
621C22⋊D11—216no—
622C22⋊D11—216no—
623C22⋊D11—48no—
624C22⋊D11—48no—
625C22⋊D11—48no—
626C2×Dic11—24no—
627C2×Dic11—24no—
628C2×Dic11—22no—
629C2×Dic11—22no—
630C2×Dic11—22no—
631C2×Dic11—22no—
632C2×Dic11—24no—
633C2×Dic11—44no—
634C2×Dic11—44no—
635C2×Dic11—48no—
636C2×Dic11C2514yes—
637C2×Dic11C2512yes—
638C2×Dic11C2512yes—
639C2×Dic11C2514yes—
640C2×Dic11C2514yes—
641C2×Dic11C2512yes—
642C2×Dic11C2512yes—
643D44—28no—
644D44—28no—
645D44—28no—
646D44—28no—
647D44—216no—
648D44—28no—
649D44—48no—
650D44—48no—
651C4×D11—216no—
652C4×D11—28no—
653C4×D11—28no—
654C4×D11—28no—
655C4×D11—28no—
656C4×D11—44no—
657C4×D11—44no—
658C4×D11—44no—
659C4×D11—44no—
660C4×D11—48no—
661C4×D11—48no—
662C4×D11—48no—
663C4×D11—48no—
664Dic22—28no—
665Dic22—48no—
666C22×#41—111no—
667C22×#41—111no—
668C23×Q8—111no—
669C23×D4—112no—
670C23×D4—111no—
671C23×D4—111no—
672C24×C4—111no—
673C24×C4—111no—
674#553—1132no—
675#553—1116no—
676#553—1116no—
677#553—1132no—
678#552—1116no—
679#552—1116no—
680#551—1132no—
681#551—1132no—
682#548—1116no—
683#548—1116no—
684#546—1116no—
685#546—1116no—
686#539—1132no—
687#538—1132no—
688#534—1132no—
689#529—1116no—
690#529C2×D11116yescomplemented
691C2×#126—112no—
692C2×#126—112no—
693C2×#126—112no—
694C2×#126—112no—
695C2×#126—112no—
696C2×#126C2×D1112yescomplemented
697C2×#125—112no—
698C2×#125—112no—
699C2×#125—111no—
700C2×#125C2×D1111yescharacteristic, complemented
701C2×#124—112no—
702C2×#124—111no—
703C2×#124—112no—
704C2×#124C2×D1111yescharacteristic, complemented
705#525—1116no—
706#525—1116no—
707C2×#123—112no—
708C2×#123—112no—
709C2×#123—112no—
710C2×#123—112no—
711C2×#123—112no—
712C2×#123—112no—
713C2×#123—112no—
714C2×#123—112no—
715C2×#123—112no—
716C2×#123C2×D1112yescomplemented
717C2×C22⋊Q8—111no—
718C2×C22⋊Q8—111no—
719C2×C22⋊Q8—111no—
720C2×C22⋊Q8—1116no—
721C2×C22⋊Q8—112no—
722C2×C22⋊Q8—111no—
723C2×C22⋊Q8—111no—
724C2×C22⋊Q8—112no—
725C2×C22⋊Q8—112no—
726C2×C22⋊Q8—112no—
727C2×C22⋊Q8C2×D1111yescharacteristic, complemented
728C2×#121—111no—
729C2×#121—111no—
730C2×#121—112no—
731C2×#121—111no—
732C2×#121—112no—
733C2×#121—1116no—
734C2×#121—111no—
735C2×#121—111no—
736C2×#121—112no—
737C2×#121—112no—
738C2×#121—112no—
739C2×#121—112no—
740C2×#121—112no—
741C2×#121—112no—
742C2×#121C2×D1111yescharacteristic
743C2×#120—112no—
744C2×#120—112no—
745C2×#120—112no—
746C2×#120—112no—
747#518—1132no—
748C2×C4×Q8—111no—
749C2×C4×Q8C2×D1111yescharacteristic, complemented
750C2×C4×D4—112no—
751C2×C4×D4—112no—
752C2×C4×D4—112no—
753C2×C4×D4—112no—
754C2×C4×D4—112no—
755C2×C4×D4—112no—
756C2×C4×D4—112no—
757C2×C4×D4—112no—
758C2×C4×D4—111no—
759C2×C4×D4—111no—
760C2×C4×D4—111no—
761C2×C4×D4—111no—
762C2×C4×D4—111no—
763C2×C4×D4—111no—
764C2×C4×D4—111no—
765C2×C4×D4—111no—
766C2×C4×D4—112no—
767C2×C4×D4—111no—
768C2×C4×D4—1116no—
769C2×C4×D4C2×D1112yescomplemented
770C2×C4×D4C2×D1111yescharacteristic, complemented
771C2×#117—112no—
772C2×#117—111no—
773C2×#117—111no—
774C2×#117—112no—
775C2×#117—112no—
776C2×#117C2×D1112yescomplemented
777C22×C4⋊C4—111no—
778C22×C4⋊C4—111no—
779C22×C4⋊C4—111no—
780C22×C4⋊C4—112no—
781C22×C22⋊C4—111no—
782C22×C22⋊C4—111no—
783C22×C22⋊C4—112no—
784C22×C22⋊C4—112no—
785C22×C22⋊C4—112no—
786C22×C22⋊C4—112no—
787C22×C42C2×D1111yescharacteristic, complemented
788C22×C11—22no—
789C22×C11—22no—
790C22×C11—28no—
791C22×C11—24no—
792C22×C11—24no—
793C22×C11—24no—
794C22×C11—48no—
795C22×C11C22×#4114yes—
796C22×C11C22×#4112yes—
797C22×C11C2×H(5,𝔽2)12yes—
798C22×C11#58512yes—
799C22×C11C2611yescharacteristic
800C2×D11—22no—
801C2×D11—22no—
802C2×D11—22no—
803C2×D11—22no—
804C2×D11—28no—
805C2×D11—28no—
806C2×D11—22no—
807C2×D11—22no—
808C2×D11—24no—
809C2×D11—22no—
810C2×D11—22no—
811C2×D11—24no—
812C2×D11—24no—
813C2×D11—22no—
814C2×D11—22no—
815C2×D11—416no—
816C2×D11—416no—
817C2×D11—44no—
818C2×D11—44no—
819C2×D11—48no—
820C2×D11—816no—
821C2×D11C22×#4114yes—
822C2×D11C22×#4114yes—
823C4×C11—22no—
824C4×C11—22no—
825C4×C11—24no—
826C4×C11—22no—
827C4×C11—24no—
828C4×C11—22no—
829C4×C11—22no—
830C4×C11—24no—
831C4×C11C2×H(5,𝔽2)14yes—
832Dic11—24no—
833Dic11—24no—
834Dic11—22no—
835Dic11—22no—
836Dic11—22no—
837Dic11—22no—
838Dic11—24no—
839C25—111no—
840C25—112no—
841C25—111no—
842C2×#41—118no—
843C2×#41—118no—
844C2×#41—444no—
845C2×#41—444no—
846C22×Q8—118no—
847C22×Q8—111no—
848C22×Q8—112no—
849C22×Q8—444no—
850C22×Q8C22×D1111yescharacteristic
851C22×D4—112no—
852C22×D4—112no—
853C22×D4—112no—
854C22×D4—112no—
855C22×D4—112no—
856C22×D4—1116no—
857C22×D4—118no—
858C22×D4—111no—
859C22×D4—111no—
860C22×D4—112no—
861C22×D4—111no—
862C22×D4—111no—
863C22×D4—118no—
864C22×D4—111no—
865C22×D4—112no—
866C22×D4—112no—
867C22×D4—228no—
868C22×D4—2216no—
869C22×D4—444no—
870C22×D4C22×D1112yes—
871C22×D4C22×D1111yescharacteristic
872C23×C4—111no—
873C23×C4—111no—
874C23×C4—112no—
875C23×C4—112no—
876C23×C4—111no—
877C23×C4—111no—
878C23×C4—111no—
879C23×C4—111no—
880C23×C4—111no—
881C23×C4—112no—
882C23×C4—112no—
883C23×C4—112no—
884C23×C4—112no—
885C23×C4—111no—
886C23×C4—111no—
887C23×C4—111no—
888C23×C4—118no—
889C23×C4—118no—
890C23×C4—444no—
891C23×C4—444no—
892C23×C4C22×D1111yescharacteristic
893C23×C4C22×D1111yescharacteristic
894C23×C4C22×D1111yescharacteristic
895C23×C4C22×D1112yes—
896#126—1116no—
897#126—1116no—
898#126—1116no—
899#126—1116no—
900#126—1116no—
901#126C22×D11116yescomplemented
902#125—1116no—
903#125—1116no—
904#125—118no—
905#125C22×D1118yescomplemented
906#124—1116no—
907#124—118no—
908#124—1116no—
909#124C22×D1118yescomplemented
910#123—1116no—
911#123—1116no—
912#123—1116no—
913#123—1116no—
914#123—1116no—
915#123—1116no—
916#123—1116no—
917#123—1116no—
918#123—1116no—
919#123C22×D11116yescomplemented
920C22⋊Q8—118no—
921C22⋊Q8—118no—
922C22⋊Q8—118no—
923C22⋊Q8—118no—
924C22⋊Q8—1116no—
925C22⋊Q8—118no—
926C22⋊Q8—1116no—
927C22⋊Q8—1116no—
928C22⋊Q8—1116no—
929C22⋊Q8C22×D1118yescomplemented
930#121—1116no—
931#121—118no—
932#121—118no—
933#121—118no—
934#121—1116no—
935#121—118no—
936#121—118no—
937#121—1116no—
938#121—1116no—
939#121—1116no—
940#121—1116no—
941#121—1116no—
942#121—1116no—
943#121C22×D1118yes—
944#120—1116no—
945#120—1116no—
946#120—1116no—
947#120—1116no—
948C4×Q8—118no—
949C4×Q8C22×D1118yescomplemented
950C4×D4—1116no—
951C4×D4—1116no—
952C4×D4—1116no—
953C4×D4—1116no—
954C4×D4—1116no—
955C4×D4—1116no—
956C4×D4—1116no—
957C4×D4—1116no—
958C4×D4—118no—
959C4×D4—118no—
960C4×D4—118no—
961C4×D4—118no—
962C4×D4—118no—
963C4×D4—118no—
964C4×D4—118no—
965C4×D4—118no—
966C4×D4—1116no—
967C4×D4—118no—
968C4×D4C22×D11116yescomplemented
969C4×D4C22×D1118yescomplemented
970#117—1116no—
971#117—118no—
972#117—118no—
973#117—1116no—
974#117—1116no—
975#117C22×D11116yescomplemented
976C2×C4⋊C4—111no—
977C2×C4⋊C4—112no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—118no—
984C2×C4⋊C4—112no—
985C2×C4⋊C4—112no—
986C2×C4⋊C4—112no—
987C2×C4⋊C4—112no—
988C2×C4⋊C4—112no—
989C2×C4⋊C4—112no—
990C2×C4⋊C4—112no—
991C2×C4⋊C4—112no—
992C2×C4⋊C4—112no—
993C2×C4⋊C4—118no—
994C2×C4⋊C4—118no—
995C2×C4⋊C4—1116no—
996C2×C4⋊C4C22×D1111yescharacteristic
997C2×C4⋊C4C22×D1111yescharacteristic
998C2×C4⋊C4C22×D1112yes—
999C2×C4⋊C4C22×D1112yes—
1000C2×C4⋊C4C22×D1112yes—
1001C2×C4⋊C4C22×D1112yes—
1002C2×C22⋊C4—112no—
1003C2×C22⋊C4—112no—
1004C2×C22⋊C4—112no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—112no—
1008C2×C22⋊C4—112no—
1009C2×C22⋊C4—112no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—118no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—112no—
1016C2×C22⋊C4—112no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—118no—
1020C2×C22⋊C4—1116no—
1021C2×C22⋊C4—112no—
1022C2×C22⋊C4—112no—
1023C2×C22⋊C4—112no—
1024C2×C22⋊C4—112no—
1025C2×C22⋊C4—112no—
1026C2×C22⋊C4—112no—
1027C2×C22⋊C4—112no—
1028C2×C22⋊C4—1116no—
1029C2×C22⋊C4—1116no—
1030C2×C22⋊C4—1116no—
1031C2×C22⋊C4C22×D1112yes—
1032C2×C22⋊C4C22×D1112yes—
1033C2×C22⋊C4C22×D1112yes—
1034C2×C22⋊C4C22×D1112yes—
1035C2×C22⋊C4C22×D1112yes—
1036C2×C42—112no—
1037C2×C42—112no—
1038C2×C42—112no—
1039C2×C42C22×D1111yescharacteristic
1040C2×C42C22×D1112yes—
1041C2×C42C22×D1111yescharacteristic
1042C2×C42C22×D1111yescharacteristic
1043C2×C42C22×D1111yescharacteristic
1044C2×C42C22×D1118yescomplemented
1045C2×C11—24no—
1046C2×C11—44no—
1047C2×C11#350514yescomplemented
1048C2×C11C23×#4111yescharacteristic
1049C2×C11C22×H(5,𝔽2)11yescharacteristic
1050C2×C11C2×#58511yescharacteristic
1051D11—24no—
1052D11—24no—
1053D11—42no—
1054D11—42no—
1055D11—44no—
1056C24—111no—
1057C24—111no—
1058C24—118no—
1059C24—114no—
1060C24—111no—
1061C24—111no—
1062C24—112no—
1063C24—118no—
1064C24—114no—
1065C24—228no—
1066C24—224no—
1067C24—442no—
1068C24—442no—
1069C24—442no—
1070C24—442no—
1071C24—444no—
1072C24—444no—
1073C24C23×D1112yes—
1074C24C23×D1111yescharacteristic
1075#41—4416no—
1076#41—4416no—
1077C2×Q8—24no—
1078C2×Q8—114no—
1079C2×Q8—118no—
1080C2×Q8—224no—
1081C2×Q8—444no—
1082C2×Q8—4416no—
1083C2×Q8C23×D1114yes—
1084C2×D4—28no—
1085C2×D4—24no—
1086C2×D4—118no—
1087C2×D4—118no—
1088C2×D4—118no—
1089C2×D4—118no—
1090C2×D4—118no—
1091C2×D4—114no—
1092C2×D4—114no—
1093C2×D4—118no—
1094C2×D4—114no—
1095C2×D4—114no—
1096C2×D4—114no—
1097C2×D4—118no—
1098C2×D4—118no—
1099C2×D4—224no—
1100C2×D4—224no—
1101C2×D4—224no—
1102C2×D4—224no—
1103C2×D4—2232no—
1104C2×D4—228no—
1105C2×D4—2264no—
1106C2×D4—228no—
1107C2×D4—228no—
1108C2×D4—224no—
1109C2×D4—444no—
1110C2×D4—444no—
1111C2×D4—4416no—
1112C2×D4—444no—
1113C2×D4—444no—
1114C2×D4—444no—
1115C2×D4C23×D1118yes—
1116C2×D4C23×D1114yes—
1117C22×C4—24no—
1118C22×C4—24no—
1119C22×C4—42no—
1120C22×C4—44no—
1121C22×C4—112no—
1122C22×C4—111no—
1123C22×C4—111no—
1124C22×C4—112no—
1125C22×C4—112no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—114no—
1129C22×C4—114no—
1130C22×C4—118no—
1131C22×C4—118no—
1132C22×C4—114no—
1133C22×C4—114no—
1134C22×C4—114no—
1135C22×C4—114no—
1136C22×C4—114no—
1137C22×C4—118no—
1138C22×C4—118no—
1139C22×C4—118no—
1140C22×C4—118no—
1141C22×C4—114no—
1142C22×C4—114no—
1143C22×C4—114no—
1144C22×C4—228no—
1145C22×C4—224no—
1146C22×C4—224no—
1147C22×C4—224no—
1148C22×C4—224no—
1149C22×C4—4416no—
1150C22×C4—4416no—
1151C22×C4—442no—
1152C22×C4—442no—
1153C22×C4—442no—
1154C22×C4—442no—
1155C22×C4—444no—
1156C22×C4—444no—
1157C22×C4—444no—
1158C22×C4—444no—
1159C22×C4—442no—
1160C22×C4—442no—
1161C22×C4—444no—
1162C22×C4C23×D1114yes—
1163C22×C4C23×D1114yes—
1164C22×C4C23×D1111yescharacteristic
1165C22×C4C23×D1112yes—
1166C22×C4C23×D1112yes—
1167C22×C4C23×D1111yescharacteristic
1168C22×C4C23×D1111yescharacteristic
1169C22×C4C23×D1111yescharacteristic
1170C22×C4C23×D1111yescharacteristic
1171C22×C4C23×D1112yes—
1172C22×C4C23×D1114yes—
1173C22×C4C23×D1118yes—
1174C22×C4C23×D1111yescharacteristic
1175C4⋊C4—114no—
1176C4⋊C4—118no—
1177C4⋊C4—114no—
1178C4⋊C4—114no—
1179C4⋊C4—114no—
1180C4⋊C4—114no—
1181C4⋊C4—114no—
1182C4⋊C4—118no—
1183C4⋊C4—118no—
1184C4⋊C4—118no—
1185C4⋊C4—118no—
1186C4⋊C4—118no—
1187C4⋊C4—118no—
1188C4⋊C4—118no—
1189C4⋊C4—118no—
1190C4⋊C4—118no—
1191C4⋊C4C23×D1114yes—
1192C4⋊C4C23×D1114yes—
1193C4⋊C4C23×D1118yes—
1194C4⋊C4C23×D1118yes—
1195C4⋊C4C23×D1118yes—
1196C4⋊C4C23×D1118yes—
1197C22⋊C4—118no—
1198C22⋊C4—118no—
1199C22⋊C4—118no—
1200C22⋊C4—114no—
1201C22⋊C4—114no—
1202C22⋊C4—118no—
1203C22⋊C4—118no—
1204C22⋊C4—118no—
1205C22⋊C4—114no—
1206C22⋊C4—114no—
1207C22⋊C4—114no—
1208C22⋊C4—114no—
1209C22⋊C4—118no—
1210C22⋊C4—118no—
1211C22⋊C4—114no—
1212C22⋊C4—114no—
1213C22⋊C4—118no—
1214C22⋊C4—118no—
1215C22⋊C4—118no—
1216C22⋊C4—118no—
1217C22⋊C4—118no—
1218C22⋊C4—118no—
1219C22⋊C4—118no—
1220C22⋊C4C23×D1118yes—
1221C22⋊C4C23×D1118yes—
1222C22⋊C4C23×D1118yes—
1223C22⋊C4C23×D1118yes—
1224C22⋊C4C23×D1118yes—
1225C42—118no—
1226C42—118no—
1227C42—118no—
1228C42C23×D1114yes—
1229C42C23×D1114yes—
1230C42C23×D1114yes—
1231C42C23×D1114yes—
1232C42C23×D1118yes—
1233C11C2×#350511yescharacteristic, complemented, Sylow
1234C23—22no—
1235C23—22no—
1236C23—24no—
1237C23—24no—
1238C23—24no—
1239C23—114no—
1240C23—114no—
1241C23—112no—
1242C23—112no—
1243C23—1116no—
1244C23—112no—
1245C23—112no—
1246C23—114no—
1247C23—2216no—
1248C23—222no—
1249C23—222no—
1250C23—222no—
1251C23—222no—
1252C23—228no—
1253C23—222no—
1254C23—222no—
1255C23—224no—
1256C23—222no—
1257C23—222no—
1258C23—224no—
1259C23—224no—
1260C23—222no—
1261C23—222no—
1262C23—444no—
1263C23—444no—
1264C23—444no—
1265C23—444no—
1266C23—4416no—
1267C23—448no—
1268C23—448no—
1269C23—4416no—
1270C23—8816no—
1271C23#41×D1114yes—
1272C23C24×D1114yes—
1273C23C24×D1112yes—
1274C23C24×D1111yescharacteristic
1275Q8—28no—
1276Q8—228no—
1277Q8—448no—
1278D4—216no—
1279D4—28no—
1280D4—228no—
1281D4—228no—
1282D4—228no—
1283D4—228no—
1284D4—2216no—
1285D4—2216no—
1286D4—2216no—
1287D4—228no—
1288D4—448no—
1289D4—448no—
1290D4—448no—
1291D4—448no—
1292D4—448no—
1293C2×C4—28no—
1294C2×C4—22no—
1295C2×C4—22no—
1296C2×C4—24no—
1297C2×C4—22no—
1298C2×C4—24no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—24no—
1302C2×C4—28no—
1303C2×C4—44no—
1304C2×C4—48no—
1305C2×C4—114no—
1306C2×C4—112no—
1307C2×C4—112no—
1308C2×C4—114no—
1309C2×C4—114no—
1310C2×C4—112no—
1311C2×C4—112no—
1312C2×C4—2216no—
1313C2×C4—224no—
1314C2×C4—222no—
1315C2×C4—222no—
1316C2×C4—222no—
1317C2×C4—222no—
1318C2×C4—224no—
1319C2×C4—224no—
1320C2×C4—228no—
1321C2×C4—228no—
1322C2×C4—228no—
1323C2×C4—228no—
1324C2×C4—444no—
1325C2×C4—444no—
1326C2×C4—444no—
1327C2×C4—444no—
1328C2×C4—448no—
1329C2×C4—448no—
1330C2×C4—448no—
1331C2×C4—448no—
1332C2×C4—444no—
1333C2×C4—444no—
1334C2×C4—448no—
1335C2×C4#6704214yes—
1336C2×C4C24×D1112yes—
1337C2×C4C24×D1114yes—
1338C2×C4C24×D1114yes—
1339C2×C4C24×D1112yes—
1340C2×C4C24×D1112yes—
1341C2×C4C24×D1112yes—
1342C2×C4C24×D1112yes—
1343C2×C4C24×D1114yes—
1344C2×C4C24×D1112yes—
1345C22—22no—
1346C22—22no—
1347C22—28no—
1348C22—24no—
1349C22—24no—
1350C22—24no—
1351C22—48no—
1352C22—114no—
1353C22—114no—
1354C22—222no—
1355C22—222no—
1356C22—222no—
1357C22—222no—
1358C22—228no—
1359C22—228no—
1360C22—222no—
1361C22—222no—
1362C22—224no—
1363C22—222no—
1364C22—222no—
1365C22—224no—
1366C22—224no—
1367C22—222no—
1368C22—222no—
1369C22—4416no—
1370C22—4416no—
1371C22—444no—
1372C22—444no—
1373C22—448no—
1374C22—8816no—
1375C22C2×#41×D1114yes—
1376C22C2×#41×D1112yes—
1377C22C2×#6704212yes—
1378C22#1062345312yes—
1379C22C25×D1111yescharacteristic
1380C4—22no—
1381C4—22no—
1382C4—24no—
1383C4—22no—
1384C4—24no—
1385C4—22no—
1386C4—22no—
1387C4—24no—
1388C4—224no—
1389C4—222no—
1390C4—222no—
1391C4—222no—
1392C4—222no—
1393C4—224no—
1394C4—224no—
1395C4C2×#6704214yes—
1396C2—24no—
1397C2—44no—
1398C2—224no—
1399C2—224no—
1400C2—442no—
1401C2—442no—
1402C2—444no—
1403C2#1308245114yesdirect product factor
1404C2C22×#41×D1111yescharacteristic
1405C2C22×#6704211yescharacteristic
1406C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#529C2
socleC23×C11C25
hypercenterC2×#529D11
hypocenterC11C2×#3505
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #13082451C2direct (N × H)
2. C2×#10623226C2semidirect
3. C2×#10623240C2semidirect
4. C2×#10623089C2semidirect
5. C2×#10623061C2semidirect
6. C2×#10623112C2semidirect
7. C2×#10623225C2semidirect
8. C2×#10623236C2semidirect
9. C2×#10623058C2semidirect
10. C2×#10623107C2semidirect
11. C2×#10623208C2semidirect
12. C2×#10623085C2semidirect
13. C2×#10623207C2semidirect
14. C2×#10623196C2semidirect
15. C2×#10623091C2semidirect
16. C2×#10623184C2semidirect
17. C2×#10623010C2semidirect
18. C2×#10623158C2semidirect
19. C2×#10623137C2semidirect
20. C2×D11×C22⋊Q8C2semidirect
21. C2×D11×#121C2semidirect
22. C2×#10623076C2semidirect
23. C22×C4×D44C2semidirect
24. C2×C11×#529C2semidirect
25. C22×#4343C22semidirect
26. C22×Q8×D11C22semidirect
27. C22×#4341C22semidirect
29. C22×D4×D11C22semidirect
32. C23×C4×D11C22semidirect
33. C11×#529C22semidirect
34. C2×C11×#126C22semidirect
35. C2×C11×#125C22semidirect
36. C2×C11×#124C22semidirect
37. C2×C11×#123C22semidirect
38. C2×C11×C22⋊Q8C22semidirect
40. C2×C4×Q8×C11C22semidirect
41. C2×C4×D4×C11C22semidirect
42. C2×C4×D4×C11C22semidirect
43. C2×C11×#117C22semidirect
44. C22×C42×C11C22semidirect
45. C2×#66999C22semidirect
46. C2×#66999C22semidirect
48. C2×#66991C22semidirect
49. C2×#66991C22semidirect
50. C2×#66990C22semidirect
51. C2×D4×Dic11C22semidirect
53. C2×#66983C22semidirect
54. C2×#66982C22semidirect
55. C2×#66982C22semidirect
56. C2×C4×C22⋊D11C22semidirect
57. C2×C4×C22⋊D11C22semidirect
59. C22×(C2×D11)⋊C4C22semidirect
60. C22×(C2×D11)⋊C4C22semidirect
61. C22×C4⋊Dic11C22semidirect
62. C2×#66977C22semidirect
63. #10623240C22semidirect
64. #10623236C22semidirect
65. #10623226C22semidirect
66. #10623225C22semidirect
67. #10623208C22semidirect
68. #10623207C22semidirect
69. #10623196C22semidirect
70. #10623184C22semidirect
71. #10623158C22semidirect
72. D11×C22⋊Q8C22semidirect
73. #10623137C22semidirect
74. D11×#121C22semidirect
75. #10623112C22semidirect
76. #10623107C22semidirect
77. #10623091C22semidirect
78. #10623089C22semidirect
79. #10623085C22semidirect
80. #10623076C22semidirect
81. #10623061C22semidirect
82. #10623058C22semidirect
83. C2×#66951C22semidirect
84. C2×#66951C22semidirect
85. C2×#66950C22semidirect
86. C2×#66950C22semidirect
87. C2×#66950C22semidirect
88. C2×#66949C22semidirect
89. C2×#66948C22semidirect
90. C2×#66948C22semidirect
91. C2×#66948C22semidirect
92. C2×#66948C22semidirect
95. C2×#66947C22semidirect
96. C2×#66947C22semidirect
97. C2×#66946C22semidirect
98. C2×#66946C22semidirect
99. C2×#66945C22semidirect
100. C2×#66945C22semidirect
101. C2×#66945C22semidirect
102. C2×C4⋊C4×D11C22semidirect
103. C2×C4⋊C4×D11C22semidirect
104. C2×C4⋊C4×D11C22semidirect
105. C2×#66943C22semidirect
106. C2×#66942C22semidirect
107. C2×#66939C22semidirect
108. C2×#66938C22semidirect
109. C2×#66937C22semidirect
110. C2×#66937C22semidirect
111. C2×#66937C22semidirect
112. C2×#66937C22semidirect
113. C2×#66936C22semidirect
114. C2×#66936C22semidirect
117. C2×#66935C22semidirect
118. C2×(C22⋊D11)⋊C4C22semidirect
119. C2×(C22⋊D11)⋊C4C22semidirect
120. C2×(C22⋊D11)⋊C4C22semidirect
122. C2×C22⋊C4×D11C22semidirect
123. C2×C22⋊C4×D11C22semidirect
124. C2×#66932C22semidirect
125. C2×#66931C22semidirect
126. C2×#66931C22semidirect
127. #10623010C22semidirect
128. C2×#66929C22semidirect
129. C2×#66929C22semidirect
130. C2×#66928C22semidirect
131. C2×#66928C22semidirect
136. C2×C4×D44C22semidirect
137. C2×C4×D44C22semidirect
138. C2×C4×D44C22semidirect
139. C2×C4×D44C22semidirect
140. C2×C4×D44C22semidirect
141. C2×C4×D44C22semidirect
142. C2×C4×D44C22semidirect
143. C2×#66925C22semidirect
144. C2×#66925C22semidirect
145. C2×#66923C22semidirect
146. C2×C4×Dic22C22semidirect
166. C2×#4343C23semidirect
168. C2×Q8×D11C23semidirect
170. C2×#4341C23semidirect
174. C2×D4×D11C23semidirect
201. C22×C4×D11C23semidirect
204. C11×#126C23semidirect
205. C11×#125C23semidirect
206. C11×#124C23semidirect
207. C11×#123C23semidirect
208. C11×C22⋊Q8C23semidirect
210. C4×Q8×C11C23semidirect
211. C4×D4×C11C23semidirect
212. C4×D4×C11C23semidirect
213. C11×#117C23semidirect
230. C2×C42×C11C23semidirect
234. #66999C23semidirect
235. #66999C23semidirect
237. #66991C23semidirect
238. #66991C23semidirect
239. #66990C23semidirect
240. D4×Dic11C23semidirect
242. #66983C23semidirect
243. #66982C23semidirect
244. #66982C23semidirect
245. C4×C22⋊D11C23semidirect
246. C4×C22⋊D11C23semidirect
268. C2×(C2×D11)⋊C4C23semidirect
269. C2×(C2×D11)⋊C4C23semidirect
278. C2×C4⋊Dic11C23semidirect
279. #66977C23semidirect
291. #66951C23semidirect
292. #66951C23semidirect
293. #66950C23semidirect
294. #66950C23semidirect
295. #66950C23semidirect
296. #66949C23semidirect
297. #66948C23semidirect
298. #66948C23semidirect
299. #66948C23semidirect
300. #66948C23semidirect
303. #66947C23semidirect
304. #66947C23semidirect
305. #66946C23semidirect
306. #66946C23semidirect
307. #66945C23semidirect
308. #66945C23semidirect
309. #66945C23semidirect
310. C4⋊C4×D11C23semidirect
311. C4⋊C4×D11C23semidirect
312. C4⋊C4×D11C23semidirect
313. #66943C23semidirect
314. #66942C23semidirect
315. #66939C23semidirect
316. #66938C23semidirect
317. #66937C23semidirect
318. #66937C23semidirect
319. #66937C23semidirect
320. #66937C23semidirect
321. #66936C23semidirect
322. #66936C23semidirect
325. #66935C23semidirect
326. (C22⋊D11)⋊C4C23semidirect
327. (C22⋊D11)⋊C4C23semidirect
328. (C22⋊D11)⋊C4C23semidirect
330. C22⋊C4×D11C23semidirect
331. C22⋊C4×D11C23semidirect
332. #66932C23semidirect
333. #66931C23semidirect
334. #66931C23semidirect
335. #66929C23semidirect
336. #66929C23semidirect
337. #66928C23semidirect
338. #66928C23semidirect
343. C4×D44C23semidirect
344. C4×D44C23semidirect
345. C4×D44C23semidirect
346. C4×D44C23semidirect
347. C4×D44C23semidirect
348. C4×D44C23semidirect
349. #66925C23semidirect
350. #66925C23semidirect
351. #66923C23semidirect
352. C4×Dic22C23semidirect
364. C23×D11#41semidirect
548. C2×#529D11semidirect
590. C22×D11C2×#41semidirect
690. #529C2×D11semidirect
696. C2×#126C2×D11semidirect
700. C2×#125C2×D11semidirect
704. C2×#124C2×D11semidirect
716. C2×#123C2×D11semidirect
727. C2×C22⋊Q8C2×D11semidirect
749. C2×C4×Q8C2×D11semidirect
769. C2×C4×D4C2×D11semidirect
770. C2×C4×D4C2×D11semidirect
776. C2×#117C2×D11semidirect
787. C22×C42C2×D11semidirect
901. #126C22×D11semidirect
905. #125C22×D11semidirect
909. #124C22×D11semidirect
919. #123C22×D11semidirect
929. C22⋊Q8C22×D11semidirect
949. C4×Q8C22×D11semidirect
968. C4×D4C22×D11semidirect
969. C4×D4C22×D11semidirect
975. #117C22×D11semidirect
1044. C2×C42C22×D11semidirect
1047. C2×C11#3505semidirect
1233. C11C2×#3505semidirect
1403. C2#13082451direct (N × H)

Maximal subgroups

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

subgroupindex
#130824512
C2×#106232262
C2×#106232402
C2×#106230892
C2×#106230612
C2×#106231122
C2×#106232252
C2×#106232362
C2×#106230582
C2×#106231072
C2×#106232082
C2×#106230852
C2×#106232072
C2×#106231962
C2×#106230912
C2×#106231842
C2×#106230102
C2×#106231582
C2×#106231372
C2×D11×C22⋊Q82
C2×D11×#1212
C2×#106230762
C22×C4×D442
C2×C11×#5292
C2×#350511