Finite Group Databasebeta

← C2×#13082839 #15660996

Subgroups — C2×#13082839 #15660996

Order 2816.

7962 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#13082839C2132yesmaximal, direct product factor
2C2×#10623198C212yesmaximal, complemented
3C2×#10623178C212yesmaximal, complemented
4C2×#10623261C211yesmaximal, characteristic, complemented
5C2×#10623042C211yesmaximal, characteristic, complemented
6C2×#10623083C211yesmaximal, characteristic, complemented
7C2×#10623129C211yesmaximal, characteristic, complemented
8C2×#10623038C211yesmaximal, characteristic, complemented
9C2×#10623143C211yesmaximal, characteristic, complemented
10C2×#10623085C211yesmaximal, characteristic, complemented
11C2×#10623185C212yesmaximal, complemented
12C2×#10623360C212yesmaximal, complemented
13C2×#10623165C212yesmaximal, complemented
14C2×#10623264C211yesmaximal, characteristic, complemented
15C2×#10623092C211yesmaximal, characteristic, complemented
16C2×#10623196C212yesmaximal, complemented
17C2×#10623188C212yesmaximal, complemented
18C2×#10623041C211yesmaximal, characteristic, complemented
19C2×#10623139C211yesmaximal, characteristic, complemented
20C2×#10623364C212yesmaximal, complemented
21C2×#10623078C211yesmaximal, characteristic, complemented
22C22×#66950C211yesmaximal, characteristic, complemented
23C2×D11×#121C211yesmaximal, characteristic, complemented
24C2×C11×#547C211yesmaximal, characteristic, complemented
25C22×C11×#41C2212yescomplemented
26C22×#4341C2211yescharacteristic, complemented
27C22×D4×D11C2212yes—
28C22×D4×D11C2211yescharacteristic
29C22×#4339C2211yescharacteristic, complemented
30C22×#4339C2212yescomplemented
31C22×#4339C2211yescharacteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C23×Dic22C2211yescharacteristic, complemented
34C11×#547C22116yescomplemented
35C2×C11×C4⋊Q8C2211yescharacteristic, complemented
36C2×C11×#123C2212yescomplemented
37C2×C11×#123C2212yescomplemented
38C2×C11×C22⋊Q8C2212yescomplemented
39C2×C11×#121C2211yescharacteristic
40C2×C11×#121C2211yescharacteristic, complemented
41C2×C4×D4×C11C2211yescharacteristic, complemented
42C2×C4×D4×C11C2211yescharacteristic, complemented
43C22×C11×C4⋊C4C2211yescharacteristic, complemented
44C22×C11×C4⋊C4C2211yescharacteristic, complemented
45#10623364C22132yescomplemented
46#10623360C22132yescomplemented
47C2×#67000C2212yescomplemented
48C2×#66999C2212yes—
49C2×#66999C2212yescomplemented
50C2×#66999C2212yescomplemented
51C2×#66992C2212yes—
52C2×#66992C2211yescharacteristic, complemented
53C2×#66992C2212yescomplemented
54C2×#66992C2212yescomplemented
55C2×#66992C2212yescomplemented
56C2×#66991C2211yescharacteristic
57C2×#66991C2212yescomplemented
58C2×#66991C2212yescomplemented
59C2×#66990C2211yescharacteristic
60C2×#66990C2212yes—
61C2×#66989C2211yescharacteristic, complemented
62C2×D4×Dic11C2212yescomplemented
63C2×#66983C2211yescharacteristic
64C2×#66983C2212yescomplemented
65C2×#66983C2212yescomplemented
66C2×#66983C2212yescomplemented
67C2×#66982C2212yescomplemented
68C2×#66982C2212yescomplemented
69C2×C4×C22⋊D11C2211yescharacteristic
70C2×C4×C22⋊D11C2212yes—
71C2×C4×C22⋊D11C2211yescharacteristic, complemented
72C22×(C2×D11)⋊C4C2212yes—
73C22×(C2×D11)⋊C4C2212yes—
74C22×C4⋊Dic11C2212yescomplemented
75C2×#66977C2212yescomplemented
76C2×#66977C2211yescharacteristic, complemented
77C2×#66977C2212yescomplemented
78#10623264C22116yescomplemented
79#10623261C22116yescomplemented
80#10623198C22132yescomplemented
81#10623196C22132yescomplemented
82#10623188C22132yescomplemented
83#10623185C22132yescomplemented
84#10623178C22132yescomplemented
85#10623165C22132yescomplemented
86#10623143C22116yescomplemented
87#10623139C22116yescomplemented
88D11×#121C22116yescomplemented
89#10623129C22116yescomplemented
90#10623092C22116yescomplemented
91#10623085C22116yescomplemented
92#10623083C22116yescomplemented
93#10623078C22116yescomplemented
94C2×#66951C2212yescomplemented
95#10623042C22116yescomplemented
96#10623041C22116yescomplemented
97C2×#66950C2211yescharacteristic
98C2×#66950C2211yescharacteristic
99C2×#66950C2212yes—
100C2×#66950C22116yescomplemented
101C2×#66950C2211yescharacteristic, complemented
102C2×#66950C2211yescharacteristic, complemented
103C2×#66950C2212yescomplemented
104C2×#66950C2211yescharacteristic, complemented
105C2×#66950C2212yescomplemented
106C2×#66949C2211yescharacteristic
107C2×#66949C2212yes—
108C2×#66949C2212yescomplemented
109C2×#66949C2212yescomplemented
110#10623038C22116yescomplemented
111C2×#66948C2211yescharacteristic
112C2×#66948C2212yescomplemented
113C2×#66948C2211yescharacteristic, complemented
114C2×#66947C2211yescharacteristic, complemented
115C2×#66947C2212yescomplemented
116C2×#66947C2212yescomplemented
117C2×#66946C2212yes—
118C2×#66946C2211yescharacteristic, complemented
119C2×C4⋊C4×D11C2211yescharacteristic
120C2×C4⋊C4×D11C2211yescharacteristic, complemented
121C2×#66943C2212yescomplemented
122C2×#66942C2212yescomplemented
123C2×#66941C2211yescharacteristic, complemented
124C2×#66940C2211yescharacteristic, complemented
125C2×#66939C2212yescomplemented
126C2×#66938C2212yescomplemented
127C2×#66938C2212yescomplemented
128C2×#66938C2212yescomplemented
129C2×#66937C2211yescharacteristic
130C2×#66937C2212yes—
131C2×#66937C2212yescomplemented
132C2×#66936C2211yescharacteristic, complemented
133C2×#66936C2212yescomplemented
134C2×#66935C2211yescharacteristic
135C2×#66935C2212yes—
136C2×(C22⋊D11)⋊C4C2212yescomplemented
137C2×C22⋊C4×D11C2212yes—
138C2×C22⋊C4×D11C2212yes—
139C2×#66932C2212yescomplemented
140C2×#66931C2211yescharacteristic, complemented
141C2×#66931C2212yescomplemented
142C2×#66931C2212yescomplemented
143C2×#66928C2211yescharacteristic, complemented
144C2×C4×D44C2211yescharacteristic
145C2×#66925C2211yescharacteristic, complemented
146C2×C4×Dic22C2211yescharacteristic, complemented
147C24×D11C2311yescharacteristic
148C24×D11C2312yes—
149C2×C11×#41—48no—
150C2×C11×#41C23116yescomplemented
151C22×Q8×C11C2312yes—
152C22×D4×C11C2312yes—
153C22×D4×C11C2311yescharacteristic
154C22×D4×C11C2311yescharacteristic
155C22×D4×C11C2312yes—
156C23×C4×C11C2311yescharacteristic
157C23×C4×C11C2312yes—
158C23×C4×C11C2311yescharacteristic
159C23×C4×C11C2312yes—
160C23×C4×C11C2312yes—
161C22×C22⋊D11C2312yes—
162C22×C22⋊D11C2311yescharacteristic
163C22×C22⋊D11C2311yescharacteristic
164C22×C22⋊D11C2312yes—
165C22×C22⋊D11C2312yes—
166C22×C22⋊D11C2311yescharacteristic
167C22×C22⋊D11C2312yes—
168C22×C22⋊D11C2311yescharacteristic
169C22×C22⋊D11C2312yes—
170C23×Dic11C2312yes—
171C23×Dic11C2311yescharacteristic
172C23×Dic11C2312yes—
173C2×#4341—44no—
174C2×#4341C2318yescomplemented
175C2×D4×D11—44no—
176C2×D4×D11—48no—
177C2×D4×D11C2318yes—
178C2×D4×D11C23116yes—
179C2×#4339—44no—
180C2×#4339—44no—
181C2×#4339—48no—
182C2×#4339C23116yescomplemented
183C2×#4339C2318yescomplemented
184C2×#4339C2318yescomplemented
185C22×D44C2311yescharacteristic
186C22×D44C2311yescharacteristic
187C22×D44C2311yescharacteristic
188C22×D44C2312yes—
189C22×D44C2312yes—
190C22×C4×D11—44no—
191C22×C4×D11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2312yes—
196C22×C4×D11C2312yes—
197C22×C4×D11C2312yes—
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2312yes—
200C22×C4×D11C2318yes—
201C22×Dic22—44no—
202C22×Dic22C2311yescharacteristic
203C22×Dic22C2311yescharacteristic
204C22×Dic22C2311yescharacteristic
205C22×Dic22C2312yes—
206C22×Dic22C2312yes—
207C22×Dic22C2318yescomplemented
208C11×C4⋊Q8C2318yescomplemented
209C11×#123C23116yescomplemented
210C11×#123C23116yescomplemented
211C11×C22⋊Q8C23116yescomplemented
212C11×#121C2318yes—
213C11×#121C2318yescomplemented
214C4×D4×C11C2318yescomplemented
215C4×D4×C11C2318yescomplemented
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2312yes—
219C2×C11×C4⋊C4C2312yes—
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2312yes—
223C2×C11×C4⋊C4C2318yescomplemented
224C2×C11×C4⋊C4C2318yescomplemented
225C2×C11×C22⋊C4C2312yes—
226C2×C11×C22⋊C4C2312yes—
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2312yes—
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C22⋊Dic11C2312yes—
232C2×C22⋊Dic11C2312yes—
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2312yes—
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2312yes—
237#67000C23116yescomplemented
238#66999C23116yes—
239#66999C23116yescomplemented
240#66999C23116yescomplemented
241#66992C23116yes—
242#66992C2318yescomplemented
243#66992C23116yescomplemented
244#66992C23116yescomplemented
245#66992C23116yescomplemented
246#66991C2318yes—
247#66991C23116yescomplemented
248#66991C23116yescomplemented
249#66990C2318yes—
250#66990C23116yes—
251#66989C2318yescomplemented
252D4×Dic11C23116yescomplemented
253#66983C2318yes—
254#66983C23116yescomplemented
255#66983C23116yescomplemented
256#66983C23116yescomplemented
257#66982C23116yescomplemented
258#66982C23116yescomplemented
259C4×C22⋊D11C2318yes—
260C4×C22⋊D11C23116yes—
261C4×C22⋊D11C2318yescomplemented
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2312yes—
267C2×(C2×D11)⋊C4C2312yes—
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2312yes—
270C2×(C2×D11)⋊C4C2312yes—
271C2×(C2×D11)⋊C4C2312yes—
272C2×(C2×D11)⋊C4C2312yes—
273C2×(C2×D11)⋊C4C2312yes—
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2312yes—
276C2×(C2×D11)⋊C4C2312yes—
277C2×(C2×D11)⋊C4C2312yes—
278C2×(C2×D11)⋊C4C2312yes—
279C2×(C2×D11)⋊C4C23116yes—
280C2×(C2×D11)⋊C4C23116yes—
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2312yes—
284C2×C4⋊Dic11C2312yes—
285C2×C4⋊Dic11C2312yes—
286C2×C4⋊Dic11C2312yes—
287C2×C4⋊Dic11C2312yes—
288C2×C4⋊Dic11C23116yescomplemented
289#66977C2318yescomplemented
290#66977C23116yescomplemented
291#66977C23116yescomplemented
292C2×Dic11⋊C4C2312yes—
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2312yes—
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2312yes—
299C2×Dic11⋊C4C2312yes—
300C2×Dic11⋊C4C2312yes—
301C2×Dic11⋊C4C2312yes—
302C2×C4×Dic11C2312yes—
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2312yes—
305#66951C23116yescomplemented
306#66950C2318yes—
307#66950C2318yes—
308#66950C23116yes—
309#66950C2318yescomplemented
310#66950C2318yescomplemented
311#66950C2318yescomplemented
312#66950C23116yescomplemented
313#66950C23116yescomplemented
314#66949C23116yes—
315#66949C2318yes—
316#66949C23116yescomplemented
317#66949C23116yescomplemented
318#66948C2318yes—
319#66948C2318yescomplemented
320#66948C23116yescomplemented
321#66947C23116yescomplemented
322#66947C23116yescomplemented
323#66947C2318yescomplemented
324#66946C23116yes—
325#66946C2318yescomplemented
326C4⋊C4×D11C2318yes—
327C4⋊C4×D11C2318yescomplemented
328#66943C23116yescomplemented
329#66942C23116yescomplemented
330#66941C2318yescomplemented
331#66940C2318yescomplemented
332#66939C23116yescomplemented
333#66938C23116yescomplemented
334#66938C23116yescomplemented
335#66938C23116yescomplemented
336#66937C2318yes—
337#66937C23116yes—
338#66937C23116yescomplemented
339#66936C2318yescomplemented
340#66936C23116yescomplemented
341#66935C2318yes—
342#66935C23116yes—
343(C22⋊D11)⋊C4C23116yescomplemented
344C22⋊C4×D11C23116yes—
345C22⋊C4×D11C23116yes—
346#66932C23116yescomplemented
347#66931C2318yescomplemented
348#66931C23116yescomplemented
349#66931C23116yescomplemented
350#66928C2318yescomplemented
351C4×D44C2318yes—
352#66925C2318yescomplemented
353C4×Dic22C2318yescomplemented
354C2×#3536—111nomaximal, Sylow
355C24×C11C2412yes—
356C24×C11C2411yescharacteristic
357C24×C11C2411yescharacteristic
358C23×D11—24no—
359C23×D11—24no—
360C23×D11—28no—
361C23×D11—42no—
362C23×D11—44no—
363C23×D11—44no—
364C23×D11C2411yescharacteristic
365C23×D11C2412yes—
366C23×D11C2411yescharacteristic
367C23×D11C2414yes—
368C23×D11C2411yescharacteristic
369C23×D11C2418yes—
370C11×#41—432no—
371C2×Q8×C11—44no—
372C2×Q8×C11C2418yes—
373C2×D4×C11—28no—
374C2×D4×C11—24no—
375C2×D4×C11—24no—
376C2×D4×C11—44no—
377C2×D4×C11C2418yes—
378C2×D4×C11C2414yes—
379C2×D4×C11C2414yes—
380C2×D4×C11C2418yes—
381C22×C4×C11—28no—
382C22×C4×C11—24no—
383C22×C4×C11—24no—
384C22×C4×C11—44no—
385C22×C4×C11—44no—
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2412yes—
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2412yes—
391C22×C4×C11C2412yes—
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2414yes—
394C22×C4×C11C2418yes—
395C22×C4×C11C2414yes—
396C22×C4×C11C2418yes—
397C22×C4×C11C2418yes—
398C22×C4×C11C2411yescharacteristic
399C2×C22⋊D11—24no—
400C2×C22⋊D11—28no—
401C2×C22⋊D11—24no—
402C2×C22⋊D11—42no—
403C2×C22⋊D11—42no—
404C2×C22⋊D11—44no—
405C2×C22⋊D11—44no—
406C2×C22⋊D11—44no—
407C2×C22⋊D11—44no—
408C2×C22⋊D11C2418yes—
409C2×C22⋊D11C2414yes—
410C2×C22⋊D11C2414yes—
411C2×C22⋊D11C2418yes—
412C2×C22⋊D11C2418yes—
413C2×C22⋊D11C2414yes—
414C2×C22⋊D11C2418yes—
415C2×C22⋊D11C2414yes—
416C2×C22⋊D11C2418yes—
417C22×Dic11—44no—
418C22×Dic11—42no—
419C22×Dic11—44no—
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2412yes—
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2412yes—
424C22×Dic11C2412yes—
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2418yes—
429C22×Dic11C2414yes—
430C22×Dic11C2418yes—
431#4341—416no—
432D4×D11—432no—
433D4×D11—416no—
434#4339—416no—
435#4339—416no—
436#4339—432no—
437C2×D44—24no—
438C2×D44—24no—
439C2×D44—42no—
440C2×D44—44no—
441C2×D44—44no—
442C2×D44C2414yes—
443C2×D44C2414yes—
444C2×D44C2414yes—
445C2×D44C2418yes—
446C2×D44C2418yes—
447C2×C4×D11—24no—
448C2×C4×D11—24no—
449C2×C4×D11—24no—
450C2×C4×D11—42no—
451C2×C4×D11—42no—
452C2×C4×D11—44no—
453C2×C4×D11—44no—
454C2×C4×D11—44no—
455C2×C4×D11—44no—
456C2×C4×D11—416no—
457C2×C4×D11C2414yes—
458C2×C4×D11C2414yes—
459C2×C4×D11C2414yes—
460C2×C4×D11C2414yes—
461C2×C4×D11C2418yes—
462C2×C4×D11C2418yes—
463C2×C4×D11C2418yes—
464C2×C4×D11C2414yes—
465C2×C4×D11C2418yes—
466C2×Dic22—24no—
467C2×Dic22—24no—
468C2×Dic22—416no—
469C2×Dic22—44no—
470C2×Dic22—42no—
471C2×Dic22—44no—
472C2×Dic22C2414yes—
473C2×Dic22C2414yes—
474C2×Dic22C2414yes—
475C2×Dic22C2418yes—
476C2×Dic22C2418yes—
477C11×C4⋊C4C2414yes—
478C11×C4⋊C4C2414yes—
479C11×C4⋊C4C2418yes—
480C11×C4⋊C4C2418yes—
481C11×C4⋊C4C2414yes—
482C11×C4⋊C4C2414yes—
483C11×C4⋊C4C2418yes—
484C11×C22⋊C4C2418yes—
485C11×C22⋊C4C2418yes—
486C11×C22⋊C4C2414yes—
487C11×C22⋊C4C2418yes—
488C11×C22⋊C4C2414yes—
489C42×C11C2414yes—
490C22⋊Dic11C2418yes—
491C22⋊Dic11C2418yes—
492C22⋊Dic11C2414yes—
493C22⋊Dic11C2418yes—
494C22⋊Dic11C2414yes—
495C22⋊Dic11C2418yes—
496(C2×D11)⋊C4C2414yes—
497(C2×D11)⋊C4C2414yes—
498(C2×D11)⋊C4C2414yes—
499(C2×D11)⋊C4C2414yes—
500(C2×D11)⋊C4C2418yes—
501(C2×D11)⋊C4C2418yes—
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)⋊C4C2414yes—
509(C2×D11)⋊C4C2418yes—
510(C2×D11)⋊C4C2418yes—
511(C2×D11)⋊C4C2418yes—
512(C2×D11)⋊C4C2418yes—
513C4⋊Dic11C2414yes—
514C4⋊Dic11C2414yes—
515C4⋊Dic11C2418yes—
516C4⋊Dic11C2418yes—
517C4⋊Dic11C2418yes—
518C4⋊Dic11C2418yes—
519C4⋊Dic11C2418yes—
520Dic11⋊C4C2418yes—
521Dic11⋊C4C2414yes—
522Dic11⋊C4C2414yes—
523Dic11⋊C4C2414yes—
524Dic11⋊C4C2418yes—
525Dic11⋊C4C2414yes—
526Dic11⋊C4C2418yes—
527Dic11⋊C4C2418yes—
528Dic11⋊C4C2418yes—
529Dic11⋊C4C2418yes—
530C4×Dic11C2418yes—
531C4×Dic11C2414yes—
532C4×Dic11C2418yes—
533#3536—1132no—
534C2×#562—112no—
535C2×#562—112no—
536C2×#554—111no—
537C2×#554—111no—
538C2×#548—111no—
539C2×#548—111no—
540C2×#547—111no—
541C2×#547D1111yescharacteristic, complemented
542C2×#546—112no—
543C2×#546—112no—
544C2×#546—111no—
545C2×#546—111no—
546C2×#543—112no—
547C2×#542—111no—
548C2×#542—111no—
549C2×#539—112no—
550C2×#538—112no—
551C2×#537—112no—
552C2×#537—111no—
553C2×#537—111no—
554C2×#525—111no—
555C22×C22⋊Q8—111no—
556C22×#121—111no—
557C23×C11—22no—
558C23×C11—22no—
559C23×C11—24no—
560C23×C11—22no—
561C23×C11—24no—
562C23×C11—22no—
563C23×C11—22no—
564C23×C11—24no—
565C23×C11H(5,𝔽2)14yes—
566C23×C11C2514yes—
567C23×C11C2512yes—
568C23×C11C2512yes—
569C23×C11C2511yescharacteristic
570C22×D11—22no—
571C22×D11—22no—
572C22×D11—22no—
573C22×D11—22no—
574C22×D11—22no—
575C22×D11—24no—
576C22×D11—24no—
577C22×D11—22no—
578C22×D11—28no—
579C22×D11—22no—
580C22×D11—22no—
581C22×D11—24no—
582C22×D11—28no—
583C22×D11—216no—
584C22×D11—44no—
585C22×D11—48no—
586C22×D11—48no—
587C22×D11—416no—
588C22×D11—816no—
589C22×D112−1+414yes—
590C22×D11C2512yes—
591C22×D11C2514yes—
592C22×D11C2512yes—
593C22×D11C2512yes—
594Q8×C11—48no—
595D4×C11—216no—
596D4×C11—28no—
597D4×C11—28no—
598D4×C11—48no—
599C2×C4×C11—22no—
600C2×C4×C11—22no—
601C2×C4×C11—24no—
602C2×C4×C11—24no—
603C2×C4×C11—24no—
604C2×C4×C11—216no—
605C2×C4×C11—22no—
606C2×C4×C11—22no—
607C2×C4×C11—28no—
608C2×C4×C11—28no—
609C2×C4×C11—48no—
610C2×C4×C11—48no—
611C2×C4×C11H(5,𝔽2)14yes—
612C2×C4×C11C2512yes—
613C2×C4×C11C2514yes—
614C2×C4×C11C2512yes—
615C2×C4×C11C2512yes—
616C2×C4×C11C2514yes—
617C2×C4×C11C2514yes—
618C2×C4×C11C2512yes—
619C2×C4×C11C2512yes—
620C22⋊D11—28no—
621C22⋊D11—216no—
622C22⋊D11—28no—
623C22⋊D11—48no—
624C22⋊D11—44no—
625C22⋊D11—44no—
626C22⋊D11—48no—
627C22⋊D11—48no—
628C22⋊D11—48no—
629C2×Dic11—24no—
630C2×Dic11—24no—
631C2×Dic11—22no—
632C2×Dic11—22no—
633C2×Dic11—22no—
634C2×Dic11—24no—
635C2×Dic11—22no—
636C2×Dic11—22no—
637C2×Dic11—48no—
638C2×Dic11—44no—
639C2×Dic11—48no—
640C2×Dic11C2512yes—
641C2×Dic11C2514yes—
642C2×Dic11C2512yes—
643C2×Dic11C2514yes—
644C2×Dic11C2514yes—
645C2×Dic11C2512yes—
646C2×Dic11C2512yes—
647C2×Dic11C2512yes—
648D44—28no—
649D44—28no—
650D44—48no—
651D44—44no—
652D44—48no—
653C4×D11—28no—
654C4×D11—28no—
655C4×D11—28no—
656C4×D11—44no—
657C4×D11—44no—
658C4×D11—48no—
659C4×D11—48no—
660C4×D11—48no—
661C4×D11—48no—
662Dic22—28no—
663Dic22—28no—
664Dic22—48no—
665Dic22—48no—
666Dic22—44no—
667C22×#41—111no—
668C22×#41—111no—
669C22×#41—112no—
670C22×#41—111no—
671C22×#41C2×D1112yescomplemented
672C23×Q8—111no—
673C23×D4—111no—
674C23×D4—112no—
675C24×C4—111no—
676#562—1132no—
677#562—1132no—
678#554—1116no—
679#554—1116no—
680#548—1116no—
681#548—1116no—
682#547—1116no—
683#547C2×D11116yescomplemented
684#546—1132no—
685#546—1132no—
686#546—1116no—
687#546—1116no—
688#543—1132no—
689#542—1116no—
690#542—1116no—
691#539—1132no—
692#538—1132no—
693#537—1132no—
694#537—1116no—
695#537—1116no—
696C2×C4⋊Q8—111no—
697C2×C4⋊Q8C2×D1111yescharacteristic, complemented
698C2×#126—112no—
699C2×#126—112no—
700C2×#125—112no—
701C2×#125—112no—
702C2×#124—112no—
703C2×#124—111no—
704C2×#124—112no—
705C2×#124—112no—
706C2×#124—112no—
707C2×#124—111no—
708#525—1116no—
709C2×#123—112no—
710C2×#123—112no—
711C2×#123—111no—
712C2×#123—112no—
713C2×#123—112no—
714C2×#123—111no—
715C2×#123—112no—
716C2×#123—112no—
717C2×#123C2×D1112yescomplemented
718C2×#123C2×D1112yescomplemented
719C2×C22⋊Q8—112no—
720C2×C22⋊Q8—112no—
721C2×C22⋊Q8—112no—
722C2×C22⋊Q8—112no—
723C2×C22⋊Q8—111no—
724C2×C22⋊Q8—112no—
725C2×C22⋊Q8—111no—
726C2×C22⋊Q8—112no—
727C2×C22⋊Q8—112no—
728C2×C22⋊Q8—112no—
729C2×C22⋊Q8—112no—
730C2×C22⋊Q8—111no—
731C2×C22⋊Q8—111no—
732C2×C22⋊Q8—111no—
733C2×C22⋊Q8—111no—
734C2×C22⋊Q8—112no—
735C2×C22⋊Q8—112no—
736C2×C22⋊Q8—111no—
737C2×C22⋊Q8—1116no—
738C2×C22⋊Q8—111no—
739C2×C22⋊Q8—112no—
740C2×C22⋊Q8—112no—
741C2×C22⋊Q8C2×D1112yescomplemented
742C2×#121—111no—
743C2×#121—112no—
744C2×#121—112no—
745C2×#121—112no—
746C2×#121—111no—
747C2×#121—112no—
748C2×#121—112no—
749C2×#121—112no—
750C2×#121—111no—
751C2×#121—112no—
752C2×#121—112no—
753C2×#121—112no—
754C2×#121—1116no—
755C2×#121—111no—
756C2×#121—111no—
757C2×#121—112no—
758C2×#121—112no—
759C2×#121—111no—
760C2×#121—112no—
761C2×#121C2×D1111yescharacteristic
762C2×#121C2×D1111yescharacteristic, complemented
763C2×#120—111no—
764C2×#120—112no—
765C2×#120—111no—
766C2×#120—112no—
767C2×C4×Q8—111no—
768C2×C4×Q8—111no—
769C2×C4×D4—112no—
770C2×C4×D4—111no—
771C2×C4×D4—112no—
772C2×C4×D4—111no—
773C2×C4×D4—112no—
774C2×C4×D4—111no—
775C2×C4×D4—112no—
776C2×C4×D4—111no—
777C2×C4×D4C2×D1111yescharacteristic, complemented
778C2×C4×D4C2×D1111yescharacteristic, complemented
779C2×#117—111no—
780C22×C4⋊C4—112no—
781C22×C4⋊C4—111no—
782C22×C4⋊C4—111no—
783C22×C4⋊C4C2×D1111yescharacteristic, complemented
784C22×C4⋊C4C2×D1111yescharacteristic, complemented
785C22×C22⋊C4—112no—
786C22×C22⋊C4—112no—
787C22×C22⋊C4—112no—
788C22×C22⋊C4—112no—
789C22×C11—22no—
790C22×C11—22no—
791C22×C11—28no—
792C22×C11—22no—
793C22×C11—22no—
794C22×C11—24no—
795C22×C11—24no—
796C22×C11—24no—
797C22×C11—22no—
798C22×C11—48no—
799C22×C11—44no—
800C22×C11C2×H(5,𝔽2)14yes—
801C22×C11C2×H(5,𝔽2)12yes—
802C22×C11C2×H(5,𝔽2)12yes—
803C22×C11C2×2−1+412yes—
804C22×C11C2611yescharacteristic
805C2×D11—22no—
806C2×D11—22no—
807C2×D11—28no—
808C2×D11—22no—
809C2×D11—22no—
810C2×D11—24no—
811C2×D11—24no—
812C2×D11—22no—
813C2×D11—22no—
814C2×D11—22no—
815C2×D11—24no—
816C2×D11—22no—
817C2×D11—416no—
818C2×D11—44no—
819C2×D11—44no—
820C2×D11—48no—
821C2×D11—816no—
822C2×D11C2×2−1+414yes—
823C4×C11—24no—
824C4×C11—24no—
825C4×C11—22no—
826C4×C11—22no—
827C4×C11—22no—
828C4×C11—24no—
829C4×C11—22no—
830C4×C11C2×H(5,𝔽2)14yes—
831Dic11—24no—
832Dic11—24no—
833Dic11—22no—
834Dic11—22no—
835Dic11—22no—
836Dic11—24no—
837Dic11—22no—
838Dic11—22no—
839C25—111no—
840C25—112no—
841C2×#41—48no—
842C2×#41—118no—
843C2×#41—118no—
844C2×#41—1116no—
845C2×#41—118no—
846C2×#41—444no—
847C2×#41—448no—
848C2×#41—444no—
849C2×#41—444no—
850C2×#41C22×D11116yescomplemented
851C22×Q8—111no—
852C22×Q8—111no—
853C22×Q8—111no—
854C22×Q8—112no—
855C22×Q8—112no—
856C22×Q8—118no—
857C22×Q8—444no—
858C22×Q8C22×D1112yes—
859C22×D4—111no—
860C22×D4—111no—
861C22×D4—112no—
862C22×D4—111no—
863C22×D4—112no—
864C22×D4—112no—
865C22×D4—111no—
866C22×D4—112no—
867C22×D4—112no—
868C22×D4—118no—
869C22×D4—1116no—
870C22×D4—111no—
871C22×D4—111no—
872C22×D4—112no—
873C22×D4—111no—
874C22×D4—112no—
875C22×D4—444no—
876C22×D4—448no—
877C22×D4C22×D1112yes—
878C22×D4C22×D1111yescharacteristic
879C22×D4C22×D1111yescharacteristic
880C22×D4C22×D1112yes—
881C23×C4—112no—
882C23×C4—112no—
883C23×C4—111no—
884C23×C4—111no—
885C23×C4—111no—
886C23×C4—111no—
887C23×C4—111no—
888C23×C4—112no—
889C23×C4—112no—
890C23×C4—112no—
891C23×C4—112no—
892C23×C4—111no—
893C23×C4—118no—
894C23×C4—444no—
895C23×C4C22×D1112yes—
896C23×C4C22×D1111yescharacteristic
897C23×C4C22×D1111yescharacteristic
898C23×C4C22×D1112yes—
899C23×C4C22×D1112yes—
900C4⋊Q8—118no—
901C4⋊Q8C22×D1118yescomplemented
902#126—1116no—
903#126—1116no—
904#125—1116no—
905#125—1116no—
906#124—1116no—
907#124—118no—
908#124—1116no—
909#124—1116no—
910#124—1116no—
911#124—118no—
912#123—1116no—
913#123—1116no—
914#123—118no—
915#123—1116no—
916#123—1116no—
917#123—118no—
918#123—1116no—
919#123—1116no—
920#123C22×D11116yescomplemented
921#123C22×D11116yescomplemented
922C22⋊Q8—1116no—
923C22⋊Q8—1116no—
924C22⋊Q8—1116no—
925C22⋊Q8—1116no—
926C22⋊Q8—118no—
927C22⋊Q8—1116no—
928C22⋊Q8—118no—
929C22⋊Q8—118no—
930C22⋊Q8—1116no—
931C22⋊Q8—118no—
932C22⋊Q8—118no—
933C22⋊Q8—1116no—
934C22⋊Q8—118no—
935C22⋊Q8—1116no—
936C22⋊Q8—118no—
937C22⋊Q8—1116no—
938C22⋊Q8—1116no—
939C22⋊Q8—1116no—
940C22⋊Q8—118no—
941C22⋊Q8—1116no—
942C22⋊Q8—1116no—
943C22⋊Q8C22×D11116yescomplemented
944#121—1116no—
945#121—118no—
946#121—118no—
947#121—1116no—
948#121—1116no—
949#121—1116no—
950#121—1116no—
951#121—1116no—
952#121—118no—
953#121—1116no—
954#121—1116no—
955#121—1116no—
956#121—118no—
957#121—118no—
958#121—1116no—
959#121—1116no—
960#121—118no—
961#121—1116no—
962#121C22×D1118yes—
963#121C22×D1118yescomplemented
964#120—118no—
965#120—1116no—
966#120—118no—
967#120—1116no—
968C4×Q8—118no—
969C4×Q8—118no—
970C4×D4—1116no—
971C4×D4—118no—
972C4×D4—118no—
973C4×D4—1116no—
974C4×D4—1116no—
975C4×D4—118no—
976C4×D4—1116no—
977C4×D4—118no—
978C4×D4C22×D1118yescomplemented
979C4×D4C22×D1118yescomplemented
980#117—118no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—112no—
983C2×C4⋊C4—112no—
984C2×C4⋊C4—112no—
985C2×C4⋊C4—112no—
986C2×C4⋊C4—112no—
987C2×C4⋊C4—112no—
988C2×C4⋊C4—1116no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—112no—
992C2×C4⋊C4—112no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—112no—
997C2×C4⋊C4—112no—
998C2×C4⋊C4—112no—
999C2×C4⋊C4—118no—
1000C2×C4⋊C4—118no—
1001C2×C4⋊C4C22×D1111yescharacteristic
1002C2×C4⋊C4C22×D1111yescharacteristic
1003C2×C4⋊C4C22×D1111yescharacteristic
1004C2×C4⋊C4C22×D1112yes—
1005C2×C4⋊C4C22×D1112yes—
1006C2×C4⋊C4C22×D1112yes—
1007C2×C4⋊C4C22×D1111yescharacteristic
1008C2×C4⋊C4C22×D1118yescomplemented
1009C2×C4⋊C4C22×D1118yescomplemented
1010C2×C22⋊C4—112no—
1011C2×C22⋊C4—112no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—112no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—112no—
1016C2×C22⋊C4—112no—
1017C2×C22⋊C4—112no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—112no—
1021C2×C22⋊C4—112no—
1022C2×C22⋊C4—112no—
1023C2×C22⋊C4—112no—
1024C2×C22⋊C4—112no—
1025C2×C22⋊C4—112no—
1026C2×C22⋊C4—1116no—
1027C2×C22⋊C4—1116no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—112no—
1031C2×C22⋊C4—112no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—112no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—1116no—
1036C2×C22⋊C4—1116no—
1037C2×C22⋊C4C22×D1112yes—
1038C2×C22⋊C4C22×D1112yes—
1039C2×C22⋊C4C22×D1111yescharacteristic
1040C2×C22⋊C4C22×D1112yes—
1041C2×C22⋊C4C22×D1111yescharacteristic
1042C2×C42—111no—
1043C2×C42—112no—
1044C2×C42—112no—
1045C2×C42C22×D1111yescharacteristic
1046C2×C11—24no—
1047C2×C11—44no—
1048C2×C11—42no—
1049C2×C11#353614yescomplemented
1050C2×C11C22×H(5,𝔽2)11yescharacteristic
1051C2×C11C22×H(5,𝔽2)11yescharacteristic
1052C2×C11C22×2−1+411yescharacteristic
1053D11—24no—
1054D11—42no—
1055D11—42no—
1056D11—44no—
1057C24—111no—
1058C24—112no—
1059C24—111no—
1060C24—111no—
1061C24—114no—
1062C24—118no—
1063C24—224no—
1064C24—228no—
1065C24—224no—
1066C24—442no—
1067C24—444no—
1068C24—444no—
1069C24C23×D1112yes—
1070C24C23×D1111yescharacteristic
1071C24C23×D1111yescharacteristic
1072#41—432no—
1073#41—4416no—
1074#41—4432no—
1075#41—4416no—
1076#41—4416no—
1077C2×Q8—44no—
1078C2×Q8—114no—
1079C2×Q8—114no—
1080C2×Q8—114no—
1081C2×Q8—118no—
1082C2×Q8—118no—
1083C2×Q8—224no—
1084C2×Q8—224no—
1085C2×Q8—444no—
1086C2×Q8—444no—
1087C2×Q8—442no—
1088C2×Q8—4416no—
1089C2×Q8C23×D1118yes—
1090C2×D4—28no—
1091C2×D4—24no—
1092C2×D4—24no—
1093C2×D4—44no—
1094C2×D4—114no—
1095C2×D4—114no—
1096C2×D4—118no—
1097C2×D4—114no—
1098C2×D4—118no—
1099C2×D4—118no—
1100C2×D4—114no—
1101C2×D4—118no—
1102C2×D4—118no—
1103C2×D4—114no—
1104C2×D4—114no—
1105C2×D4—118no—
1106C2×D4—114no—
1107C2×D4—118no—
1108C2×D4—224no—
1109C2×D4—224no—
1110C2×D4—228no—
1111C2×D4—224no—
1112C2×D4—224no—
1113C2×D4—444no—
1114C2×D4—444no—
1115C2×D4—442no—
1116C2×D4—4416no—
1117C2×D4—444no—
1118C2×D4—444no—
1119C2×D4—442no—
1120C2×D4—442no—
1121C2×D4—444no—
1122C2×D4—444no—
1123C2×D4—4432no—
1124C2×D4C23×D1118yes—
1125C2×D4C23×D1114yes—
1126C2×D4C23×D1114yes—
1127C2×D4C23×D1118yes—
1128C22×C4—28no—
1129C22×C4—24no—
1130C22×C4—24no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—111no—
1134C22×C4—111no—
1135C22×C4—112no—
1136C22×C4—112no—
1137C22×C4—112no—
1138C22×C4—111no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—118no—
1142C22×C4—118no—
1143C22×C4—114no—
1144C22×C4—114no—
1145C22×C4—114no—
1146C22×C4—114no—
1147C22×C4—114no—
1148C22×C4—118no—
1149C22×C4—118no—
1150C22×C4—118no—
1151C22×C4—118no—
1152C22×C4—114no—
1153C22×C4—224no—
1154C22×C4—224no—
1155C22×C4—224no—
1156C22×C4—4416no—
1157C22×C4—442no—
1158C22×C4—442no—
1159C22×C4—444no—
1160C22×C4—444no—
1161C22×C4—444no—
1162C22×C4—444no—
1163C22×C4—442no—
1164C22×C4—444no—
1165C22×C4—444no—
1166C22×C4C23×D1118yes—
1167C22×C4C23×D1114yes—
1168C22×C4C23×D1114yes—
1169C22×C4C23×D1111yescharacteristic
1170C22×C4C23×D1112yes—
1171C22×C4C23×D1111yescharacteristic
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1112yes—
1174C22×C4C23×D1112yes—
1175C22×C4C23×D1111yescharacteristic
1176C22×C4C23×D1118yes—
1177C22×C4C23×D1118yes—
1178C22×C4C23×D1111yescharacteristic
1179C4⋊C4—114no—
1180C4⋊C4—118no—
1181C4⋊C4—118no—
1182C4⋊C4—118no—
1183C4⋊C4—118no—
1184C4⋊C4—118no—
1185C4⋊C4—118no—
1186C4⋊C4—114no—
1187C4⋊C4—114no—
1188C4⋊C4—118no—
1189C4⋊C4—118no—
1190C4⋊C4—114no—
1191C4⋊C4—114no—
1192C4⋊C4—114no—
1193C4⋊C4—118no—
1194C4⋊C4—118no—
1195C4⋊C4—118no—
1196C4⋊C4C23×D1114yes—
1197C4⋊C4C23×D1114yes—
1198C4⋊C4C23×D1114yes—
1199C4⋊C4C23×D1118yes—
1200C4⋊C4C23×D1118yes—
1201C4⋊C4C23×D1118yes—
1202C4⋊C4C23×D1114yes—
1203C22⋊C4—118no—
1204C22⋊C4—118no—
1205C22⋊C4—114no—
1206C22⋊C4—118no—
1207C22⋊C4—114no—
1208C22⋊C4—118no—
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—114no—
1220C22⋊C4—114no—
1221C22⋊C4—118no—
1222C22⋊C4—118no—
1223C22⋊C4—114no—
1224C22⋊C4—118no—
1225C22⋊C4—114no—
1226C22⋊C4C23×D1118yes—
1227C22⋊C4C23×D1118yes—
1228C22⋊C4C23×D1114yes—
1229C22⋊C4C23×D1118yes—
1230C22⋊C4C23×D1114yes—
1231C42—114no—
1232C42—118no—
1233C42—118no—
1234C42C23×D1114yes—
1235C11C2×#353611yescharacteristic, complemented, Sylow
1236C23—22no—
1237C23—22no—
1238C23—22no—
1239C23—24no—
1240C23—22no—
1241C23—24no—
1242C23—22no—
1243C23—24no—
1244C23—114no—
1245C23—112no—
1246C23—114no—
1247C23—112no—
1248C23—112no—
1249C23—228no—
1250C23—2216no—
1251C23—222no—
1252C23—222no—
1253C23—222no—
1254C23—224no—
1255C23—228no—
1256C23—222no—
1257C23—222no—
1258C23—222no—
1259C23—224no—
1260C23—222no—
1261C23—222no—
1262C23—224no—
1263C23—444no—
1264C23—448no—
1265C23—448no—
1266C23—4416no—
1267C23—8816no—
1268C23#6703714yes—
1269C23C24×D1114yes—
1270C23C24×D1112yes—
1271C23C24×D1112yes—
1272C23C24×D1111yescharacteristic
1273Q8—48no—
1274Q8—228no—
1275Q8—228no—
1276Q8—448no—
1277Q8—448no—
1278Q8—444no—
1279D4—216no—
1280D4—28no—
1281D4—28no—
1282D4—48no—
1283D4—228no—
1284D4—228no—
1285D4—2216no—
1286D4—228no—
1287D4—228no—
1288D4—448no—
1289D4—448no—
1290D4—444no—
1291D4—448no—
1292D4—448no—
1293D4—444no—
1294D4—444no—
1295D4—448no—
1296D4—448no—
1297C2×C4—24no—
1298C2×C4—24no—
1299C2×C4—216no—
1300C2×C4—22no—
1301C2×C4—24no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—28no—
1306C2×C4—28no—
1307C2×C4—48no—
1308C2×C4—48no—
1309C2×C4—112no—
1310C2×C4—112no—
1311C2×C4—114no—
1312C2×C4—114no—
1313C2×C4—114no—
1314C2×C4—112no—
1315C2×C4—112no—
1316C2×C4—112no—
1317C2×C4—224no—
1318C2×C4—222no—
1319C2×C4—222no—
1320C2×C4—222no—
1321C2×C4—222no—
1322C2×C4—224no—
1323C2×C4—224no—
1324C2×C4—222no—
1325C2×C4—228no—
1326C2×C4—228no—
1327C2×C4—228no—
1328C2×C4—444no—
1329C2×C4—444no—
1330C2×C4—448no—
1331C2×C4—448no—
1332C2×C4—448no—
1333C2×C4—448no—
1334C2×C4—444no—
1335C2×C4—448no—
1336C2×C4—448no—
1337C2×C4#6704214yes—
1338C2×C4C24×D1112yes—
1339C2×C4C24×D1114yes—
1340C2×C4C24×D1112yes—
1341C2×C4C24×D1112yes—
1342C2×C4C24×D1114yes—
1343C2×C4C24×D1114yes—
1344C2×C4C24×D1112yes—
1345C2×C4C24×D1112yes—
1346C22—22no—
1347C22—22no—
1348C22—28no—
1349C22—22no—
1350C22—24no—
1351C22—22no—
1352C22—24no—
1353C22—22no—
1354C22—24no—
1355C22—48no—
1356C22—44no—
1357C22—114no—
1358C22—222no—
1359C22—222no—
1360C22—228no—
1361C22—222no—
1362C22—224no—
1363C22—222no—
1364C22—222no—
1365C22—222no—
1366C22—224no—
1367C22—222no—
1368C22—222no—
1369C22—224no—
1370C22—4416no—
1371C22—444no—
1372C22—448no—
1373C22—444no—
1374C22—8816no—
1375C22C2×#6703714yes—
1376C22C2×#6703712yes—
1377C22C2×#6704212yes—
1378C22D11×2−1+412yes—
1379C22C25×D1111yescharacteristic
1380C4—24no—
1381C4—24no—
1382C4—22no—
1383C4—24no—
1384C4—22no—
1385C4—22no—
1386C4—22no—
1387C4—224no—
1388C4—222no—
1389C4—222no—
1390C4—222no—
1391C4—222no—
1392C4—224no—
1393C4—224no—
1394C4—222no—
1395C4C2×#6704214yes—
1396C2—24no—
1397C2—44no—
1398C2—42no—
1399C2—224no—
1400C2—442no—
1401C2—444no—
1402C2—442no—
1403C2#1308283914yesdirect product factor
1404C2C22×#6703711yescharacteristic
1405C2C22×#6704211yescharacteristic
1406C2C2×D11×2−1+411yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#547C2
socleC23×C11C25
hypercenterC2×#547D11
hypocenterC11C2×#3536
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#547

Complements

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

NH ≅ G/Ntype
1. #13082839C2direct (N × H)
2. C2×#10623198C2semidirect
3. C2×#10623178C2semidirect
4. C2×#10623261C2semidirect
5. C2×#10623042C2semidirect
6. C2×#10623083C2semidirect
7. C2×#10623129C2semidirect
8. C2×#10623038C2semidirect
9. C2×#10623143C2semidirect
10. C2×#10623085C2semidirect
11. C2×#10623185C2semidirect
12. C2×#10623360C2semidirect
13. C2×#10623165C2semidirect
14. C2×#10623264C2semidirect
15. C2×#10623092C2semidirect
16. C2×#10623196C2semidirect
17. C2×#10623188C2semidirect
18. C2×#10623041C2semidirect
19. C2×#10623139C2semidirect
20. C2×#10623364C2semidirect
21. C2×#10623078C2semidirect
22. C22×#66950C2semidirect
23. C2×D11×#121C2semidirect
24. C2×C11×#547C2semidirect
25. C22×C11×#41C22semidirect
26. C22×#4341C22semidirect
29. C22×#4339C22semidirect
30. C22×#4339C22semidirect
31. C22×#4339C22semidirect
33. C23×Dic22C22semidirect
34. C11×#547C22semidirect
35. C2×C11×C4⋊Q8C22semidirect
36. C2×C11×#123C22semidirect
37. C2×C11×#123C22semidirect
38. C2×C11×C22⋊Q8C22semidirect
40. C2×C11×#121C22semidirect
41. C2×C4×D4×C11C22semidirect
42. C2×C4×D4×C11C22semidirect
43. C22×C11×C4⋊C4C22semidirect
44. C22×C11×C4⋊C4C22semidirect
45. #10623364C22semidirect
46. #10623360C22semidirect
47. C2×#67000C22semidirect
49. C2×#66999C22semidirect
50. C2×#66999C22semidirect
52. C2×#66992C22semidirect
53. C2×#66992C22semidirect
54. C2×#66992C22semidirect
55. C2×#66992C22semidirect
57. C2×#66991C22semidirect
58. C2×#66991C22semidirect
61. C2×#66989C22semidirect
62. C2×D4×Dic11C22semidirect
64. C2×#66983C22semidirect
65. C2×#66983C22semidirect
66. C2×#66983C22semidirect
67. C2×#66982C22semidirect
68. C2×#66982C22semidirect
71. C2×C4×C22⋊D11C22semidirect
74. C22×C4⋊Dic11C22semidirect
75. C2×#66977C22semidirect
76. C2×#66977C22semidirect
77. C2×#66977C22semidirect
78. #10623264C22semidirect
79. #10623261C22semidirect
80. #10623198C22semidirect
81. #10623196C22semidirect
82. #10623188C22semidirect
83. #10623185C22semidirect
84. #10623178C22semidirect
85. #10623165C22semidirect
86. #10623143C22semidirect
87. #10623139C22semidirect
88. D11×#121C22semidirect
89. #10623129C22semidirect
90. #10623092C22semidirect
91. #10623085C22semidirect
92. #10623083C22semidirect
93. #10623078C22semidirect
94. C2×#66951C22semidirect
95. #10623042C22semidirect
96. #10623041C22semidirect
100. C2×#66950C22semidirect
101. C2×#66950C22semidirect
102. C2×#66950C22semidirect
103. C2×#66950C22semidirect
104. C2×#66950C22semidirect
105. C2×#66950C22semidirect
108. C2×#66949C22semidirect
109. C2×#66949C22semidirect
110. #10623038C22semidirect
112. C2×#66948C22semidirect
113. C2×#66948C22semidirect
114. C2×#66947C22semidirect
115. C2×#66947C22semidirect
116. C2×#66947C22semidirect
118. C2×#66946C22semidirect
120. C2×C4⋊C4×D11C22semidirect
121. C2×#66943C22semidirect
122. C2×#66942C22semidirect
123. C2×#66941C22semidirect
124. C2×#66940C22semidirect
125. C2×#66939C22semidirect
126. C2×#66938C22semidirect
127. C2×#66938C22semidirect
128. C2×#66938C22semidirect
131. C2×#66937C22semidirect
132. C2×#66936C22semidirect
133. C2×#66936C22semidirect
136. C2×(C22⋊D11)⋊C4C22semidirect
139. C2×#66932C22semidirect
140. C2×#66931C22semidirect
141. C2×#66931C22semidirect
142. C2×#66931C22semidirect
143. C2×#66928C22semidirect
145. C2×#66925C22semidirect
146. C2×C4×Dic22C22semidirect
150. C2×C11×#41C23semidirect
174. C2×#4341C23semidirect
182. C2×#4339C23semidirect
183. C2×#4339C23semidirect
184. C2×#4339C23semidirect
207. C22×Dic22C23semidirect
208. C11×C4⋊Q8C23semidirect
209. C11×#123C23semidirect
210. C11×#123C23semidirect
211. C11×C22⋊Q8C23semidirect
213. C11×#121C23semidirect
214. C4×D4×C11C23semidirect
215. C4×D4×C11C23semidirect
223. C2×C11×C4⋊C4C23semidirect
224. C2×C11×C4⋊C4C23semidirect
237. #67000C23semidirect
239. #66999C23semidirect
240. #66999C23semidirect
242. #66992C23semidirect
243. #66992C23semidirect
244. #66992C23semidirect
245. #66992C23semidirect
247. #66991C23semidirect
248. #66991C23semidirect
251. #66989C23semidirect
252. D4×Dic11C23semidirect
254. #66983C23semidirect
255. #66983C23semidirect
256. #66983C23semidirect
257. #66982C23semidirect
258. #66982C23semidirect
261. C4×C22⋊D11C23semidirect
288. C2×C4⋊Dic11C23semidirect
289. #66977C23semidirect
290. #66977C23semidirect
291. #66977C23semidirect
305. #66951C23semidirect
309. #66950C23semidirect
310. #66950C23semidirect
311. #66950C23semidirect
312. #66950C23semidirect
313. #66950C23semidirect
316. #66949C23semidirect
317. #66949C23semidirect
319. #66948C23semidirect
320. #66948C23semidirect
321. #66947C23semidirect
322. #66947C23semidirect
323. #66947C23semidirect
325. #66946C23semidirect
327. C4⋊C4×D11C23semidirect
328. #66943C23semidirect
329. #66942C23semidirect
330. #66941C23semidirect
331. #66940C23semidirect
332. #66939C23semidirect
333. #66938C23semidirect
334. #66938C23semidirect
335. #66938C23semidirect
338. #66937C23semidirect
339. #66936C23semidirect
340. #66936C23semidirect
343. (C22⋊D11)⋊C4C23semidirect
346. #66932C23semidirect
347. #66931C23semidirect
348. #66931C23semidirect
349. #66931C23semidirect
350. #66928C23semidirect
352. #66925C23semidirect
353. C4×Dic22C23semidirect
541. C2×#547D11semidirect
671. C22×#41C2×D11semidirect
683. #547C2×D11semidirect
697. C2×C4⋊Q8C2×D11semidirect
717. C2×#123C2×D11semidirect
718. C2×#123C2×D11semidirect
741. C2×C22⋊Q8C2×D11semidirect
762. C2×#121C2×D11semidirect
777. C2×C4×D4C2×D11semidirect
778. C2×C4×D4C2×D11semidirect
783. C22×C4⋊C4C2×D11semidirect
784. C22×C4⋊C4C2×D11semidirect
850. C2×#41C22×D11semidirect
901. C4⋊Q8C22×D11semidirect
920. #123C22×D11semidirect
921. #123C22×D11semidirect
943. C22⋊Q8C22×D11semidirect
963. #121C22×D11semidirect
978. C4×D4C22×D11semidirect
979. C4×D4C22×D11semidirect
1008. C2×C4⋊C4C22×D11semidirect
1009. C2×C4⋊C4C22×D11semidirect
1049. C2×C11#3536semidirect
1235. C11C2×#3536semidirect
1403. C2#13082839direct (N × H)

Maximal subgroups

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

subgroupindex
#130828392
C2×#106231982
C2×#106231782
C2×#106232612
C2×#106230422
C2×#106230832
C2×#106231292
C2×#106230382
C2×#106231432
C2×#106230852
C2×#106231852
C2×#106233602
C2×#106231652
C2×#106232642
C2×#106230922
C2×#106231962
C2×#106231882
C2×#106230412
C2×#106231392
C2×#106233642
C2×#106230782
C22×#669502
C2×D11×#1212
C2×C11×#5472
C2×#353611