Finite Group Databasebeta

← C2×#13082832 #15660993

Subgroups — C2×#13082832 #15660993

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#13082832C2132yesmaximal, direct product factor
2C2×#10623178C212yesmaximal, complemented
3C2×#10623215C212yesmaximal, complemented
4C2×#10623110C211yesmaximal, characteristic, complemented
5C2×#10623166C211yesmaximal, characteristic, complemented
6C2×#10623348C211yesmaximal, characteristic, complemented
7C2×#10623086C211yesmaximal, characteristic, complemented
8C2×#10623142C211yesmaximal, characteristic, complemented
9C2×#10623085C212yesmaximal, complemented
10C2×#10623207C211yesmaximal, characteristic, complemented
11C2×#10623141C212yesmaximal, complemented
12C2×#10623360C211yesmaximal, characteristic, complemented
13C2×#10623165C212yesmaximal, complemented
14C2×#10623113C211yesmaximal, characteristic, complemented
15C2×#10623213C211yesmaximal, characteristic, complemented
16C2×#10623095C212yesmaximal, complemented
17C2×#10623209C212yesmaximal, complemented
18C2×#10623160C211yesmaximal, characteristic, complemented
19C2×#10623364C211yesmaximal, characteristic, complemented
20C2×#10623128C212yesmaximal, complemented
21C2×#10623078C211yesmaximal, characteristic, complemented
22C22×#66999C211yesmaximal, characteristic, complemented
23C2×D11×#121C211yesmaximal, characteristic, complemented
24C2×C11×#548C211yesmaximal, characteristic, complemented
25C22×C11×#41C2211yescharacteristic, complemented
26C23×Q8×C11C2211yescharacteristic, complemented
27C22×#4343C2211yescharacteristic, complemented
28C22×#4341C2212yescomplemented
29C22×#4341C2212yescomplemented
30C22×D4×D11C2211yescharacteristic
31C22×D4×D11C2212yes—
32C22×#4339C2211yescharacteristic, complemented
33C23×C4×D11C2211yescharacteristic
34C11×#548C22116yescomplemented
35C2×C11×#124C2212yescomplemented
36C2×C11×#124C2211yescharacteristic, complemented
37C2×C11×C22⋊Q8C2211yescharacteristic, complemented
38C2×C11×C22⋊Q8C2212yescomplemented
39C2×C11×#121C2211yescharacteristic
40C2×C11×#121C2212yescomplemented
41C2×C4×Q8×C11C2211yescharacteristic, complemented
42C2×C4×D4×C11C2211yescharacteristic, complemented
43C2×C4×D4×C11C2212yescomplemented
44#10623364C22116yescomplemented
45#10623360C22116yescomplemented
46#10623348C22116yescomplemented
47C2×#67000C2212yescomplemented
48C2×#67000C2211yescharacteristic, complemented
49C2×#66999C2211yescharacteristic
50C2×#66999C2211yescharacteristic
51C2×#66999C2212yes—
52C2×#66999C2211yescharacteristic, complemented
53C2×#66999C2211yescharacteristic, complemented
54C2×#66999C2211yescharacteristic, complemented
55C2×#66999C2212yescomplemented
56C2×#66999C2212yescomplemented
57C2×#66999C22116yescomplemented
58C2×Q8×Dic11C2211yescharacteristic, complemented
59C2×#66992C2212yes—
60C2×#66992C2211yescharacteristic, complemented
61C2×#66992C2212yescomplemented
62C2×#66992C2212yescomplemented
63C2×#66992C2212yescomplemented
64C2×#66991C2211yescharacteristic
65C2×#66991C2211yescharacteristic, complemented
66C2×#66990C2211yescharacteristic
67C2×#66990C2212yes—
68C2×#66988C2212yescomplemented
69C2×D4×Dic11C2211yescharacteristic, complemented
70C2×#66983C2211yescharacteristic
71C2×#66983C2212yescomplemented
72C2×#66983C2212yescomplemented
73C2×#66983C2211yescharacteristic, complemented
74C2×#66982C2212yescomplemented
75C2×C4×C22⋊D11C2211yescharacteristic
76C2×C4×C22⋊D11C2211yescharacteristic, complemented
77C2×C4×C22⋊D11C2212yescomplemented
78C22×(C2×D11)⋊C4C2212yes—
79C22×(C2×D11)⋊C4C2212yes—
80C22×C4⋊Dic11C2211yescharacteristic, complemented
81C22×C4⋊Dic11C2211yescharacteristic, complemented
82C2×#66977C2212yescomplemented
83C22×Dic11⋊C4C2212yescomplemented
84#10623215C22132yescomplemented
85#10623213C22116yescomplemented
86#10623209C22132yescomplemented
87#10623207C22116yescomplemented
88#10623178C22132yescomplemented
89#10623166C22116yescomplemented
90#10623165C22132yescomplemented
91#10623160C22116yescomplemented
92#10623142C22116yescomplemented
93#10623141C22132yescomplemented
94D11×#121C22116yescomplemented
95#10623128C22132yescomplemented
96#10623113C22116yescomplemented
97#10623110C22116yescomplemented
98#10623095C22132yescomplemented
99#10623086C22116yescomplemented
100#10623085C22132yescomplemented
101#10623078C22116yescomplemented
102C2×#66950C2212yes—
103C2×#66950C2212yescomplemented
104C2×#66949C2211yescharacteristic
105C2×#66949C2212yes—
106C2×#66949C2212yescomplemented
107C2×#66949C2212yescomplemented
108C2×#66949C2212yescomplemented
109C2×#66948C2211yescharacteristic
110C2×#66948C2212yescomplemented
111C2×#66947C2211yescharacteristic, complemented
112C2×#66947C2212yescomplemented
113C2×C4⋊C4×D11C2211yescharacteristic
114C2×C4⋊C4×D11C2211yescharacteristic, complemented
115C2×#66942C2212yescomplemented
116C2×#66941C2211yescharacteristic, complemented
117C2×#66939C2212yescomplemented
118C2×#66939C2212yescomplemented
119C2×#66939C2212yescomplemented
120C2×#66938C2212yescomplemented
121C2×#66937C2211yescharacteristic
122C2×#66937C2212yes—
123C2×#66937C2212yescomplemented
124C2×#66937C2212yescomplemented
125C2×#66937C2212yescomplemented
126C2×#66936C2211yescharacteristic, complemented
127C2×#66936C2212yescomplemented
128C2×#66936C2212yescomplemented
129C2×#66935C2211yescharacteristic
130C2×#66935C2212yes—
131C2×(C22⋊D11)⋊C4C2212yes—
132C2×C22⋊C4×D11C2212yes—
133C2×C22⋊C4×D11C2212yes—
134C2×#66932C2212yescomplemented
135C2×#66931C2211yescharacteristic, complemented
136C2×#66931C2212yescomplemented
137C2×#66931C2212yescomplemented
138C2×#66931C2212yescomplemented
139C2×#66929C2212yescomplemented
140C2×#66928C2212yescomplemented
141C2×C4×D44C2211yescharacteristic
142C2×C4×D44C2212yes—
143C2×C4×D44C2211yescharacteristic, complemented
144C2×#66925C2211yescharacteristic, complemented
145C2×#66923C2212yescomplemented
146C2×#66922C2211yescharacteristic, complemented
147C24×D11C2311yescharacteristic
148C24×D11C2312yes—
149C2×C11×#41—44no—
150C2×C11×#41C2318yescomplemented
151C22×Q8×C11—44no—
152C22×Q8×C11C2311yescharacteristic
153C22×Q8×C11C2311yescharacteristic
154C22×Q8×C11C2312yes—
155C22×Q8×C11C2318yescomplemented
156C22×D4×C11C2311yescharacteristic
157C22×D4×C11C2312yes—
158C22×D4×C11C2311yescharacteristic
159C22×D4×C11C2312yes—
160C23×C4×C11C2311yescharacteristic
161C23×C4×C11C2311yescharacteristic
162C23×C4×C11C2312yes—
163C23×C4×C11C2312yes—
164C22×C22⋊D11C2311yescharacteristic
165C22×C22⋊D11C2311yescharacteristic
166C22×C22⋊D11C2312yes—
167C22×C22⋊D11C2312yes—
168C22×C22⋊D11C2312yes—
169C22×C22⋊D11C2311yescharacteristic
170C22×C22⋊D11C2311yescharacteristic
171C22×C22⋊D11C2312yes—
172C22×C22⋊D11C2312yes—
173C23×Dic11C2312yes—
174C23×Dic11C2312yes—
175C23×Dic11C2312yes—
176C23×Dic11C2311yescharacteristic
177C2×#4343—44no—
178C2×#4343C2318yescomplemented
179C2×#4341—48no—
180C2×#4341—48no—
181C2×#4341C23116yescomplemented
182C2×#4341C23116yescomplemented
183C2×D4×D11—44no—
184C2×D4×D11—48no—
185C2×D4×D11C23116yes—
186C2×D4×D11C2318yes—
187C2×#4339—44no—
188C2×#4339C2318yescomplemented
189C22×D44C2311yescharacteristic
190C22×D44C2311yescharacteristic
191C22×D44C2312yes—
192C22×D44C2312yes—
193C22×D44C2311yescharacteristic
194C22×C4×D11—44no—
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2312yes—
199C22×C4×D11C2312yes—
200C22×C4×D11C2312yes—
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2312yes—
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2318yes—
205C22×Dic22C2312yes—
206C22×Dic22C2312yes—
207C22×Dic22C2311yescharacteristic
208C11×#124C2318yescomplemented
209C11×#124C23116yescomplemented
210C11×C22⋊Q8C2318yescomplemented
211C11×C22⋊Q8C23116yescomplemented
212C11×#121C2318yes—
213C11×#121C23116yescomplemented
214C4×Q8×C11C2318yescomplemented
215C4×D4×C11C2318yescomplemented
216C4×D4×C11C23116yescomplemented
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2312yes—
219C2×C11×C4⋊C4C2312yes—
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2312yes—
222C2×C11×C22⋊C4C2312yes—
223C2×C11×C22⋊C4C2312yes—
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2312yes—
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2312yes—
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2312yes—
231C2×C22⋊Dic11C2312yes—
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2312yes—
234#67000C2318yescomplemented
235#67000C23116yescomplemented
236#66999C2318yes—
237#66999C23116yes—
238#66999C2318yes—
239#66999C2318yescomplemented
240#66999C2318yescomplemented
241#66999C23116yescomplemented
242#66999C2318yescomplemented
243#66999C23116yescomplemented
244Q8×Dic11C2318yescomplemented
245#66992C23116yes—
246#66992C2318yescomplemented
247#66992C23116yescomplemented
248#66992C23116yescomplemented
249#66992C23116yescomplemented
250#66991C2318yes—
251#66991C2318yescomplemented
252#66990C2318yes—
253#66990C23116yes—
254#66988C23116yescomplemented
255D4×Dic11C2318yescomplemented
256#66983C2318yes—
257#66983C23116yescomplemented
258#66983C23116yescomplemented
259#66983C2318yescomplemented
260#66982C23116yescomplemented
261C4×C22⋊D11C2318yes—
262C4×C22⋊D11C2318yescomplemented
263C4×C22⋊D11C23116yescomplemented
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2312yes—
269C2×(C2×D11)⋊C4C2312yes—
270C2×(C2×D11)⋊C4C2312yes—
271C2×(C2×D11)⋊C4C2312yes—
272C2×(C2×D11)⋊C4C2312yes—
273C2×(C2×D11)⋊C4C2312yes—
274C2×(C2×D11)⋊C4C2312yes—
275C2×(C2×D11)⋊C4C2312yes—
276C2×(C2×D11)⋊C4C2312yes—
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2312yes—
280C2×(C2×D11)⋊C4C2312yes—
281C2×(C2×D11)⋊C4C23116yes—
282C2×(C2×D11)⋊C4C23116yes—
283C2×C4⋊Dic11C2312yes—
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2312yes—
289C2×C4⋊Dic11C2312yes—
290C2×C4⋊Dic11C2312yes—
291C2×C4⋊Dic11C2318yescomplemented
292C2×C4⋊Dic11C2318yescomplemented
293#66977C23116yescomplemented
294C2×Dic11⋊C4C2312yes—
295C2×Dic11⋊C4C2312yes—
296C2×Dic11⋊C4C2312yes—
297C2×Dic11⋊C4C2312yes—
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2312yes—
301C2×Dic11⋊C4C2312yes—
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2312yes—
304C2×Dic11⋊C4C2312yes—
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C23116yescomplemented
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2312yes—
309#66950C23116yes—
310#66950C23116yescomplemented
311#66949C2318yes—
312#66949C23116yes—
313#66949C23116yescomplemented
314#66949C23116yescomplemented
315#66949C23116yescomplemented
316#66948C2318yes—
317#66948C23116yescomplemented
318#66947C2318yescomplemented
319#66947C23116yescomplemented
320C4⋊C4×D11C2318yes—
321C4⋊C4×D11C2318yescomplemented
322#66942C23116yescomplemented
323#66941C2318yescomplemented
324#66939C23116yescomplemented
325#66939C23116yescomplemented
326#66939C23116yescomplemented
327#66938C23116yescomplemented
328#66937C2318yes—
329#66937C23116yes—
330#66937C23116yescomplemented
331#66937C23116yescomplemented
332#66937C23116yescomplemented
333#66936C2318yescomplemented
334#66936C23116yescomplemented
335#66936C23116yescomplemented
336#66935C2318yes—
337#66935C23116yes—
338(C22⋊D11)⋊C4C23116yes—
339C22⋊C4×D11C23116yes—
340C22⋊C4×D11C23116yes—
341#66932C23116yescomplemented
342#66931C2318yescomplemented
343#66931C23116yescomplemented
344#66931C23116yescomplemented
345#66931C23116yescomplemented
346#66929C23116yescomplemented
347#66928C23116yescomplemented
348C4×D44C2318yes—
349C4×D44C23116yes—
350C4×D44C2318yescomplemented
351#66925C2318yescomplemented
352#66923C23116yescomplemented
353#66922C2318yescomplemented
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—416no—
371C2×Q8×C11—24no—
372C2×Q8×C11—24no—
373C2×Q8×C11—44no—
374C2×Q8×C11—416no—
375C2×Q8×C11C2414yes—
376C2×Q8×C11C2414yes—
377C2×Q8×C11C2418yes—
378C2×D4×C11—28no—
379C2×D4×C11—24no—
380C2×D4×C11—24no—
381C2×D4×C11—44no—
382C2×D4×C11C2414yes—
383C2×D4×C11C2418yes—
384C2×D4×C11C2414yes—
385C2×D4×C11C2418yes—
386C22×C4×C11—24no—
387C22×C4×C11—24no—
388C22×C4×C11—44no—
389C22×C4×C11—44no—
390C22×C4×C11C2412yes—
391C22×C4×C11C2412yes—
392C22×C4×C11C2412yes—
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2414yes—
398C22×C4×C11C2414yes—
399C22×C4×C11C2418yes—
400C22×C4×C11C2418yes—
401C22×C4×C11C2411yescharacteristic
402C2×C22⋊D11—28no—
403C2×C22⋊D11—24no—
404C2×C22⋊D11—24no—
405C2×C22⋊D11—42no—
406C2×C22⋊D11—42no—
407C2×C22⋊D11—44no—
408C2×C22⋊D11—44no—
409C2×C22⋊D11—44no—
410C2×C22⋊D11—44no—
411C2×C22⋊D11C2414yes—
412C2×C22⋊D11C2414yes—
413C2×C22⋊D11C2418yes—
414C2×C22⋊D11C2418yes—
415C2×C22⋊D11C2418yes—
416C2×C22⋊D11C2414yes—
417C2×C22⋊D11C2414yes—
418C2×C22⋊D11C2418yes—
419C2×C22⋊D11C2418yes—
420C22×Dic11—28no—
421C22×Dic11—42no—
422C22×Dic11—44no—
423C22×Dic11—44no—
424C22×Dic11C2418yes—
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2412yes—
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2412yes—
432C22×Dic11C2412yes—
433C22×Dic11C2418yes—
434C22×Dic11C2418yes—
435C22×Dic11C2414yes—
436#4343—416no—
437#4341—432no—
438#4341—432no—
439D4×D11—432no—
440D4×D11—416no—
441#4339—416no—
442C2×D44—24no—
443C2×D44—24no—
444C2×D44—42no—
445C2×D44—44no—
446C2×D44—44no—
447C2×D44C2414yes—
448C2×D44C2414yes—
449C2×D44C2418yes—
450C2×D44C2418yes—
451C2×D44C2414yes—
452C2×C4×D11—24no—
453C2×C4×D11—24no—
454C2×C4×D11—24no—
455C2×C4×D11—42no—
456C2×C4×D11—42no—
457C2×C4×D11—44no—
458C2×C4×D11—44no—
459C2×C4×D11—44no—
460C2×C4×D11—44no—
461C2×C4×D11—416no—
462C2×C4×D11C2414yes—
463C2×C4×D11C2414yes—
464C2×C4×D11C2414yes—
465C2×C4×D11C2418yes—
466C2×C4×D11C2418yes—
467C2×C4×D11C2418yes—
468C2×C4×D11C2414yes—
469C2×C4×D11C2418yes—
470C2×C4×D11C2414yes—
471C2×Dic22—42no—
472C2×Dic22—44no—
473C2×Dic22—44no—
474C2×Dic22C2418yes—
475C2×Dic22C2418yes—
476C2×Dic22C2414yes—
477C11×C4⋊C4C2414yes—
478C11×C4⋊C4C2418yes—
479C11×C4⋊C4C2418yes—
480C11×C4⋊C4C2414yes—
481C11×C22⋊C4C2418yes—
482C11×C22⋊C4C2418yes—
483C11×C22⋊C4C2418yes—
484C11×C22⋊C4C2414yes—
485C11×C22⋊C4C2418yes—
486C11×C22⋊C4C2414yes—
487C42×C11C2414yes—
488C42×C11C2418yes—
489C22⋊Dic11C2414yes—
490C22⋊Dic11C2418yes—
491C22⋊Dic11C2418yes—
492C22⋊Dic11C2414yes—
493C22⋊Dic11C2418yes—
494(C2×D11)⋊C4C2414yes—
495(C2×D11)⋊C4C2414yes—
496(C2×D11)⋊C4C2414yes—
497(C2×D11)⋊C4C2414yes—
498(C2×D11)⋊C4C2418yes—
499(C2×D11)⋊C4C2418yes—
500(C2×D11)⋊C4C2418yes—
501(C2×D11)⋊C4C2418yes—
502(C2×D11)⋊C4C2418yes—
503(C2×D11)⋊C4C2418yes—
504(C2×D11)⋊C4C2418yes—
505(C2×D11)⋊C4C2418yes—
506(C2×D11)⋊C4C2418yes—
507(C2×D11)⋊C4C2414yes—
508(C2×D11)⋊C4C2414yes—
509(C2×D11)⋊C4C2418yes—
510(C2×D11)⋊C4C2418yes—
511C4⋊Dic11C2418yes—
512C4⋊Dic11C2414yes—
513C4⋊Dic11C2414yes—
514C4⋊Dic11C2414yes—
515C4⋊Dic11C2414yes—
516C4⋊Dic11C2418yes—
517C4⋊Dic11C2418yes—
518C4⋊Dic11C2418yes—
519Dic11⋊C4C2418yes—
520Dic11⋊C4C2418yes—
521Dic11⋊C4C2418yes—
522Dic11⋊C4C2418yes—
523Dic11⋊C4C2414yes—
524Dic11⋊C4C2414yes—
525Dic11⋊C4C2418yes—
526Dic11⋊C4C2418yes—
527Dic11⋊C4C2414yes—
528Dic11⋊C4C2418yes—
529Dic11⋊C4C2418yes—
530Dic11⋊C4C2414yes—
531C4×Dic11C2414yes—
532C4×Dic11C2418yes—
533#3536—1132no—
534C2×#562—112no—
535C2×#562—112no—
536C2×#554—111no—
537C2×#554—111no—
538C2×#548—111no—
539C2×#548D1111yescharacteristic, complemented
540C2×#547—111no—
541C2×#547—111no—
542C2×#546—111no—
543C2×#546—111no—
544C2×#546—112no—
545C2×#546—112no—
546C2×#543—112no—
547C2×#542—111no—
548C2×#542—111no—
549C2×#539—112no—
550C2×#538—112no—
551C2×#537—111no—
552C2×#537—111no—
553C2×#537—112no—
554C2×#525—111no—
555C22×C22⋊Q8—111no—
556C22×#121—111no—
557C23×C11—22no—
558C23×C11—22no—
559C23×C11—22no—
560C23×C11—24no—
561C23×C11—22no—
562C23×C11—24no—
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—28no—
595Q8×C11—28no—
596Q8×C11—48no—
597D4×C11—216no—
598D4×C11—28no—
599D4×C11—28no—
600D4×C11—48no—
601C2×C4×C11—22no—
602C2×C4×C11—24no—
603C2×C4×C11—22no—
604C2×C4×C11—22no—
605C2×C4×C11—24no—
606C2×C4×C11—24no—
607C2×C4×C11—22no—
608C2×C4×C11—28no—
609C2×C4×C11—28no—
610C2×C4×C11—48no—
611C2×C4×C11—48no—
612C2×C4×C11H(5,𝔽2)14yes—
613C2×C4×C11C2514yes—
614C2×C4×C11C2514yes—
615C2×C4×C11C2514yes—
616C2×C4×C11C2512yes—
617C2×C4×C11C2512yes—
618C2×C4×C11C2512yes—
619C2×C4×C11C2512yes—
620C2×C4×C11C2512yes—
621C22⋊D11—216no—
622C22⋊D11—28no—
623C22⋊D11—28no—
624C22⋊D11—44no—
625C22⋊D11—44no—
626C22⋊D11—48no—
627C22⋊D11—48no—
628C22⋊D11—48no—
629C22⋊D11—48no—
630C2×Dic11—22no—
631C2×Dic11—22no—
632C2×Dic11—22no—
633C2×Dic11—24no—
634C2×Dic11—24no—
635C2×Dic11—24no—
636C2×Dic11—22no—
637C2×Dic11—216no—
638C2×Dic11—22no—
639C2×Dic11—44no—
640C2×Dic11—48no—
641C2×Dic11—48no—
642C2×Dic11C2512yes—
643C2×Dic11C2514yes—
644C2×Dic11C2512yes—
645C2×Dic11C2512yes—
646C2×Dic11C2512yes—
647C2×Dic11C2512yes—
648C2×Dic11C2514yes—
649C2×Dic11C2514yes—
650D44—28no—
651D44—28no—
652D44—44no—
653D44—48no—
654D44—48no—
655C4×D11—28no—
656C4×D11—28no—
657C4×D11—28no—
658C4×D11—44no—
659C4×D11—44no—
660C4×D11—48no—
661C4×D11—48no—
662C4×D11—48no—
663C4×D11—48no—
664Dic22—44no—
665Dic22—48no—
666Dic22—48no—
667C22×#41—111no—
668C22×#41—112no—
669C22×#41—112no—
670C22×#41—111no—
671C22×#41C2×D1111yescharacteristic, complemented
672C23×Q8C2×D1111yescharacteristic, complemented
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#548C2×D11116yescomplemented
682#547—1116no—
683#547—1116no—
684#546—1116no—
685#546—1116no—
686#546—1132no—
687#546—1132no—
688#543—1132no—
689#542—1116no—
690#542—1116no—
691#539—1132no—
692#538—1132no—
693#537—1116no—
694#537—1116no—
695#537—1132no—
696C2×C4⋊Q8—111no—
697C2×C4⋊Q8—111no—
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×#124C2×D1112yescomplemented
707C2×#124C2×D1111yescharacteristic, complemented
708#525—1116no—
709C2×#123—112no—
710C2×#123—112no—
711C2×#123—111no—
712C2×#123—112no—
713C2×#123—111no—
714C2×#123—112no—
715C2×#123—112no—
716C2×#123—112no—
717C2×#123—112no—
718C2×#123—112no—
719C2×C22⋊Q8—112no—
720C2×C22⋊Q8—111no—
721C2×C22⋊Q8—111no—
722C2×C22⋊Q8—111no—
723C2×C22⋊Q8—111no—
724C2×C22⋊Q8—112no—
725C2×C22⋊Q8—111no—
726C2×C22⋊Q8—112no—
727C2×C22⋊Q8—1116no—
728C2×C22⋊Q8—112no—
729C2×C22⋊Q8—111no—
730C2×C22⋊Q8—112no—
731C2×C22⋊Q8—112no—
732C2×C22⋊Q8—112no—
733C2×C22⋊Q8—112no—
734C2×C22⋊Q8—112no—
735C2×C22⋊Q8—112no—
736C2×C22⋊Q8—111no—
737C2×C22⋊Q8—112no—
738C2×C22⋊Q8—112no—
739C2×C22⋊Q8—112no—
740C2×C22⋊Q8C2×D1111yescharacteristic, complemented
741C2×C22⋊Q8C2×D1112yescomplemented
742C2×#121—111no—
743C2×#121—111no—
744C2×#121—112no—
745C2×#121—111no—
746C2×#121—112no—
747C2×#121—112no—
748C2×#121—112no—
749C2×#121—111no—
750C2×#121—111no—
751C2×#121—112no—
752C2×#121—112no—
753C2×#121—1116no—
754C2×#121—111no—
755C2×#121—112no—
756C2×#121—112no—
757C2×#121—111no—
758C2×#121—112no—
759C2×#121—112no—
760C2×#121—112no—
761C2×#121C2×D1111yescharacteristic
762C2×#121C2×D1112yescomplemented
763C2×#120—111no—
764C2×#120—112no—
765C2×#120—111no—
766C2×#120—112no—
767C2×C4×Q8—111no—
768C2×C4×Q8C2×D1111yescharacteristic, complemented
769C2×C4×D4—111no—
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C2×C4×D4—112no—
773C2×C4×D4—112no—
774C2×C4×D4—111no—
775C2×C4×D4—112no—
776C2×C4×D4—111no—
777C2×C4×D4C2×D1111yescharacteristic, complemented
778C2×C4×D4C2×D1112yescomplemented
779C2×#117—111no—
780C22×C4⋊C4—112no—
781C22×C4⋊C4—111no—
782C22×C4⋊C4—111no—
783C22×C4⋊C4—111no—
784C22×C4⋊C4—111no—
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—24no—
794C22×C11—24no—
795C22×C11—22no—
796C22×C11—24no—
797C22×C11—22no—
798C22×C11—48no—
799C22×C11—44no—
800C22×C11C2×H(5,𝔽2)12yes—
801C22×C11C2×H(5,𝔽2)14yes—
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—22no—
824C4×C11—22no—
825C4×C11—24no—
826C4×C11—24no—
827C4×C11—22no—
828C4×C11—24no—
829C4×C11—22no—
830C4×C11C2×H(5,𝔽2)14yes—
831Dic11—22no—
832Dic11—22no—
833Dic11—22no—
834Dic11—24no—
835Dic11—24no—
836Dic11—24no—
837Dic11—22no—
838Dic11—22no—
839C25—111no—
840C25—112no—
841C2×#41—44no—
842C2×#41—118no—
843C2×#41—1116no—
844C2×#41—1116no—
845C2×#41—118no—
846C2×#41—444no—
847C2×#41—448no—
848C2×#41—448no—
849C2×#41—444no—
850C2×#41C22×D1118yescomplemented
851C22×Q8—44no—
852C22×Q8—111no—
853C22×Q8—112no—
854C22×Q8—112no—
855C22×Q8C22×D1111yescharacteristic
856C22×Q8C22×D1111yescharacteristic
857C22×Q8C22×D1112yes—
858C22×Q8C22×D1118yescomplemented
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—111no—
873C22×D4—112no—
874C22×D4—112no—
875C22×D4—444no—
876C22×D4—448no—
877C22×D4C22×D1111yescharacteristic
878C22×D4C22×D1111yescharacteristic
879C22×D4C22×D1112yes—
880C22×D4C22×D1112yes—
881C23×C4—112no—
882C23×C4—112no—
883C23×C4—111no—
884C23×C4—112no—
885C23×C4—111no—
886C23×C4—111no—
887C23×C4—111no—
888C23×C4—111no—
889C23×C4—112no—
890C23×C4—112no—
891C23×C4—112no—
892C23×C4—112no—
893C23×C4—111no—
894C23×C4—118no—
895C23×C4—444no—
896C23×C4C22×D1111yescharacteristic
897C23×C4C22×D1111yescharacteristic
898C23×C4C22×D1112yes—
899C23×C4C22×D1112yes—
900C4⋊Q8—118no—
901C4⋊Q8—118no—
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#124C22×D11116yescomplemented
911#124C22×D1118yescomplemented
912#123—1116no—
913#123—1116no—
914#123—118no—
915#123—1116no—
916#123—118no—
917#123—1116no—
918#123—1116no—
919#123—1116no—
920#123—1116no—
921#123—1116no—
922C22⋊Q8—118no—
923C22⋊Q8—118no—
924C22⋊Q8—1116no—
925C22⋊Q8—118no—
926C22⋊Q8—118no—
927C22⋊Q8—1116no—
928C22⋊Q8—118no—
929C22⋊Q8—1116no—
930C22⋊Q8—1116no—
931C22⋊Q8—118no—
932C22⋊Q8—1116no—
933C22⋊Q8—1116no—
934C22⋊Q8—1116no—
935C22⋊Q8—1116no—
936C22⋊Q8—1116no—
937C22⋊Q8—1116no—
938C22⋊Q8—118no—
939C22⋊Q8—1116no—
940C22⋊Q8—1116no—
941C22⋊Q8—1116no—
942C22⋊Q8C22×D1118yescomplemented
943C22⋊Q8C22×D11116yescomplemented
944#121—1116no—
945#121—118no—
946#121—118no—
947#121—1116no—
948#121—118no—
949#121—1116no—
950#121—1116no—
951#121—118no—
952#121—118no—
953#121—1116no—
954#121—1116no—
955#121—118no—
956#121—1116no—
957#121—1116no—
958#121—118no—
959#121—1116no—
960#121—1116no—
961#121—1116no—
962#121C22×D1118yes—
963#121C22×D11116yescomplemented
964#120—118no—
965#120—1116no—
966#120—118no—
967#120—1116no—
968C4×Q8—118no—
969C4×Q8C22×D1118yescomplemented
970C4×D4—118no—
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×D11116yescomplemented
980#117—118no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
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—1116no—
993C2×C4⋊C4—118no—
994C2×C4⋊C4—118no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—112no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—112no—
1002C2×C4⋊C4—112no—
1003C2×C4⋊C4—112no—
1004C2×C4⋊C4—118no—
1005C2×C4⋊C4—118no—
1006C2×C4⋊C4C22×D1111yescharacteristic
1007C2×C4⋊C4C22×D1112yes—
1008C2×C4⋊C4C22×D1111yescharacteristic
1009C2×C4⋊C4C22×D1112yes—
1010C2×C22⋊C4—112no—
1011C2×C22⋊C4—112no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—112no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—112no—
1017C2×C22⋊C4—112no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—112no—
1020C2×C22⋊C4—112no—
1021C2×C22⋊C4—112no—
1022C2×C22⋊C4—112no—
1023C2×C22⋊C4—112no—
1024C2×C22⋊C4—112no—
1025C2×C22⋊C4—1116no—
1026C2×C22⋊C4—1116no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—112no—
1030C2×C22⋊C4—112no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—112no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—1116no—
1035C2×C22⋊C4—1116no—
1036C2×C22⋊C4C22×D1112yes—
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×C42C22×D1111yescharacteristic
1045C2×C42C22×D1112yes—
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—111no—
1059C24—112no—
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—416no—
1073#41—4416no—
1074#41—4432no—
1075#41—4432no—
1076#41—4416no—
1077C2×Q8—24no—
1078C2×Q8—24no—
1079C2×Q8—44no—
1080C2×Q8—416no—
1081C2×Q8—114no—
1082C2×Q8—118no—
1083C2×Q8—118no—
1084C2×Q8—442no—
1085C2×Q8—444no—
1086C2×Q8—444no—
1087C2×Q8C23×D1114yes—
1088C2×Q8C23×D1114yes—
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—114no—
1106C2×D4—118no—
1107C2×D4—118no—
1108C2×D4—224no—
1109C2×D4—224no—
1110C2×D4—228no—
1111C2×D4—224no—
1112C2×D4—224no—
1113C2×D4—444no—
1114C2×D4—442no—
1115C2×D4—444no—
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×D1114yes—
1125C2×D4C23×D1114yes—
1126C2×D4C23×D1118yes—
1127C2×D4C23×D1118yes—
1128C22×C4—24no—
1129C22×C4—24no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—118no—
1133C22×C4—111no—
1134C22×C4—111no—
1135C22×C4—112no—
1136C22×C4—111no—
1137C22×C4—111no—
1138C22×C4—112no—
1139C22×C4—112no—
1140C22×C4—111no—
1141C22×C4—118no—
1142C22×C4—114no—
1143C22×C4—118no—
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—228no—
1154C22×C4—224no—
1155C22×C4—224no—
1156C22×C4—224no—
1157C22×C4—4416no—
1158C22×C4—442no—
1159C22×C4—442no—
1160C22×C4—444no—
1161C22×C4—444no—
1162C22×C4—444no—
1163C22×C4—444no—
1164C22×C4—442no—
1165C22×C4—444no—
1166C22×C4—444no—
1167C22×C4C23×D1114yes—
1168C22×C4C23×D1114yes—
1169C22×C4C23×D1112yes—
1170C22×C4C23×D1111yescharacteristic
1171C22×C4C23×D1112yes—
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1112yes—
1174C22×C4C23×D1111yescharacteristic
1175C22×C4C23×D1111yescharacteristic
1176C22×C4C23×D1118yes—
1177C22×C4C23×D1118yes—
1178C22×C4C23×D1111yescharacteristic
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—114no—
1191C4⋊C4—114no—
1192C4⋊C4—118no—
1193C4⋊C4—114no—
1194C4⋊C4—114no—
1195C4⋊C4—114no—
1196C4⋊C4—118no—
1197C4⋊C4—118no—
1198C4⋊C4—118no—
1199C4⋊C4C23×D1114yes—
1200C4⋊C4C23×D1118yes—
1201C4⋊C4C23×D1114yes—
1202C4⋊C4C23×D1118yes—
1203C22⋊C4—118no—
1204C22⋊C4—118no—
1205C22⋊C4—114no—
1206C22⋊C4—118no—
1207C22⋊C4—114no—
1208C22⋊C4—114no—
1209C22⋊C4—118no—
1210C22⋊C4—118no—
1211C22⋊C4—114no—
1212C22⋊C4—118no—
1213C22⋊C4—118no—
1214C22⋊C4—118no—
1215C22⋊C4—118no—
1216C22⋊C4—118no—
1217C22⋊C4—118no—
1218C22⋊C4—114no—
1219C22⋊C4—114no—
1220C22⋊C4—118no—
1221C22⋊C4—118no—
1222C22⋊C4—114no—
1223C22⋊C4—118no—
1224C22⋊C4—114no—
1225C22⋊C4C23×D1118yes—
1226C22⋊C4C23×D1118yes—
1227C22⋊C4C23×D1118yes—
1228C22⋊C4C23×D1114yes—
1229C22⋊C4C23×D1118yes—
1230C22⋊C4C23×D1114yes—
1231C42—114no—
1232C42—118no—
1233C42C23×D1114yes—
1234C42C23×D1118yes—
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—112no—
1247C23—114no—
1248C23—112no—
1249C23—228no—
1250C23—2216no—
1251C23—222no—
1252C23—222no—
1253C23—222no—
1254C23—222no—
1255C23—224no—
1256C23—222no—
1257C23—224no—
1258C23—228no—
1259C23—222no—
1260C23—222no—
1261C23—222no—
1262C23—224no—
1263C23—444no—
1264C23—448no—
1265C23—448no—
1266C23—4416no—
1267C23—8816no—
1268C23#6704214yes—
1269C23C24×D1114yes—
1270C23C24×D1112yes—
1271C23C24×D1112yes—
1272C23C24×D1111yescharacteristic
1273Q8—28no—
1274Q8—28no—
1275Q8—48no—
1276Q8—444no—
1277Q8—448no—
1278Q8—448no—
1279D4—216no—
1280D4—28no—
1281D4—28no—
1282D4—48no—
1283D4—228no—
1284D4—228no—
1285D4—2216no—
1286D4—228no—
1287D4—228no—
1288D4—448no—
1289D4—444no—
1290D4—448no—
1291D4—448no—
1292D4—448no—
1293D4—444no—
1294D4—444no—
1295D4—448no—
1296D4—448no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—24no—
1300C2×C4—24no—
1301C2×C4—24no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—28no—
1305C2×C4—28no—
1306C2×C4—48no—
1307C2×C4—48no—
1308C2×C4—112no—
1309C2×C4—112no—
1310C2×C4—114no—
1311C2×C4—112no—
1312C2×C4—112no—
1313C2×C4—114no—
1314C2×C4—114no—
1315C2×C4—112no—
1316C2×C4—222no—
1317C2×C4—222no—
1318C2×C4—222no—
1319C2×C4—224no—
1320C2×C4—224no—
1321C2×C4—2216no—
1322C2×C4—224no—
1323C2×C4—222no—
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#6703714yes—
1338C2×C4C24×D1114yes—
1339C2×C4C24×D1112yes—
1340C2×C4C24×D1114yes—
1341C2×C4C24×D1112yes—
1342C2×C4C24×D1114yes—
1343C2×C4C24×D1112yes—
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—222no—
1363C22—224no—
1364C22—222no—
1365C22—224no—
1366C22—222no—
1367C22—222no—
1368C22—222no—
1369C22—224no—
1370C22—4416no—
1371C22—444no—
1372C22—448no—
1373C22—444no—
1374C22—8816no—
1375C22C2×#6703712yes—
1376C22C2×#6704214yes—
1377C22C2×#6704212yes—
1378C22D11×2−1+412yes—
1379C22C25×D1111yescharacteristic
1380C4—22no—
1381C4—22no—
1382C4—24no—
1383C4—24no—
1384C4—24no—
1385C4—22no—
1386C4—22no—
1387C4—222no—
1388C4—222no—
1389C4—222no—
1390C4—224no—
1391C4—224no—
1392C4—224no—
1393C4—222no—
1394C4—222no—
1395C4C2×#6703714yes—
1396C2—24no—
1397C2—44no—
1398C2—42no—
1399C2—224no—
1400C2—442no—
1401C2—444no—
1402C2—442no—
1403C2#1308283214yesdirect product factor
1404C2C22×#6703711yescharacteristic
1405C2C22×#6704211yescharacteristic
1406C2C2×D11×2−1+411yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#548C2
socleC23×C11C25
hypercenterC2×#548D11
hypocenterC11C2×#3536
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#548

Complements

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

NH ≅ G/Ntype
1. #13082832C2direct (N × H)
2. C2×#10623178C2semidirect
3. C2×#10623215C2semidirect
4. C2×#10623110C2semidirect
5. C2×#10623166C2semidirect
6. C2×#10623348C2semidirect
7. C2×#10623086C2semidirect
8. C2×#10623142C2semidirect
9. C2×#10623085C2semidirect
10. C2×#10623207C2semidirect
11. C2×#10623141C2semidirect
12. C2×#10623360C2semidirect
13. C2×#10623165C2semidirect
14. C2×#10623113C2semidirect
15. C2×#10623213C2semidirect
16. C2×#10623095C2semidirect
17. C2×#10623209C2semidirect
18. C2×#10623160C2semidirect
19. C2×#10623364C2semidirect
20. C2×#10623128C2semidirect
21. C2×#10623078C2semidirect
22. C22×#66999C2semidirect
23. C2×D11×#121C2semidirect
24. C2×C11×#548C2semidirect
25. C22×C11×#41C22semidirect
26. C23×Q8×C11C22semidirect
27. C22×#4343C22semidirect
28. C22×#4341C22semidirect
29. C22×#4341C22semidirect
32. C22×#4339C22semidirect
34. C11×#548C22semidirect
35. C2×C11×#124C22semidirect
36. C2×C11×#124C22semidirect
37. C2×C11×C22⋊Q8C22semidirect
38. C2×C11×C22⋊Q8C22semidirect
40. C2×C11×#121C22semidirect
41. C2×C4×Q8×C11C22semidirect
42. C2×C4×D4×C11C22semidirect
43. C2×C4×D4×C11C22semidirect
44. #10623364C22semidirect
45. #10623360C22semidirect
46. #10623348C22semidirect
47. C2×#67000C22semidirect
48. C2×#67000C22semidirect
52. C2×#66999C22semidirect
53. C2×#66999C22semidirect
54. C2×#66999C22semidirect
55. C2×#66999C22semidirect
56. C2×#66999C22semidirect
57. C2×#66999C22semidirect
58. C2×Q8×Dic11C22semidirect
60. C2×#66992C22semidirect
61. C2×#66992C22semidirect
62. C2×#66992C22semidirect
63. C2×#66992C22semidirect
65. C2×#66991C22semidirect
68. C2×#66988C22semidirect
69. C2×D4×Dic11C22semidirect
71. C2×#66983C22semidirect
72. C2×#66983C22semidirect
73. C2×#66983C22semidirect
74. C2×#66982C22semidirect
76. C2×C4×C22⋊D11C22semidirect
77. C2×C4×C22⋊D11C22semidirect
80. C22×C4⋊Dic11C22semidirect
81. C22×C4⋊Dic11C22semidirect
82. C2×#66977C22semidirect
83. C22×Dic11⋊C4C22semidirect
84. #10623215C22semidirect
85. #10623213C22semidirect
86. #10623209C22semidirect
87. #10623207C22semidirect
88. #10623178C22semidirect
89. #10623166C22semidirect
90. #10623165C22semidirect
91. #10623160C22semidirect
92. #10623142C22semidirect
93. #10623141C22semidirect
94. D11×#121C22semidirect
95. #10623128C22semidirect
96. #10623113C22semidirect
97. #10623110C22semidirect
98. #10623095C22semidirect
99. #10623086C22semidirect
100. #10623085C22semidirect
101. #10623078C22semidirect
103. C2×#66950C22semidirect
106. C2×#66949C22semidirect
107. C2×#66949C22semidirect
108. C2×#66949C22semidirect
110. C2×#66948C22semidirect
111. C2×#66947C22semidirect
112. C2×#66947C22semidirect
114. C2×C4⋊C4×D11C22semidirect
115. C2×#66942C22semidirect
116. C2×#66941C22semidirect
117. C2×#66939C22semidirect
118. C2×#66939C22semidirect
119. C2×#66939C22semidirect
120. C2×#66938C22semidirect
123. C2×#66937C22semidirect
124. C2×#66937C22semidirect
125. C2×#66937C22semidirect
126. C2×#66936C22semidirect
127. C2×#66936C22semidirect
128. C2×#66936C22semidirect
134. C2×#66932C22semidirect
135. C2×#66931C22semidirect
136. C2×#66931C22semidirect
137. C2×#66931C22semidirect
138. C2×#66931C22semidirect
139. C2×#66929C22semidirect
140. C2×#66928C22semidirect
143. C2×C4×D44C22semidirect
144. C2×#66925C22semidirect
145. C2×#66923C22semidirect
146. C2×#66922C22semidirect
150. C2×C11×#41C23semidirect
155. C22×Q8×C11C23semidirect
178. C2×#4343C23semidirect
181. C2×#4341C23semidirect
182. C2×#4341C23semidirect
188. C2×#4339C23semidirect
208. C11×#124C23semidirect
209. C11×#124C23semidirect
210. C11×C22⋊Q8C23semidirect
211. C11×C22⋊Q8C23semidirect
213. C11×#121C23semidirect
214. C4×Q8×C11C23semidirect
215. C4×D4×C11C23semidirect
216. C4×D4×C11C23semidirect
234. #67000C23semidirect
235. #67000C23semidirect
239. #66999C23semidirect
240. #66999C23semidirect
241. #66999C23semidirect
242. #66999C23semidirect
243. #66999C23semidirect
244. Q8×Dic11C23semidirect
246. #66992C23semidirect
247. #66992C23semidirect
248. #66992C23semidirect
249. #66992C23semidirect
251. #66991C23semidirect
254. #66988C23semidirect
255. D4×Dic11C23semidirect
257. #66983C23semidirect
258. #66983C23semidirect
259. #66983C23semidirect
260. #66982C23semidirect
262. C4×C22⋊D11C23semidirect
263. C4×C22⋊D11C23semidirect
291. C2×C4⋊Dic11C23semidirect
292. C2×C4⋊Dic11C23semidirect
293. #66977C23semidirect
306. C2×Dic11⋊C4C23semidirect
310. #66950C23semidirect
313. #66949C23semidirect
314. #66949C23semidirect
315. #66949C23semidirect
317. #66948C23semidirect
318. #66947C23semidirect
319. #66947C23semidirect
321. C4⋊C4×D11C23semidirect
322. #66942C23semidirect
323. #66941C23semidirect
324. #66939C23semidirect
325. #66939C23semidirect
326. #66939C23semidirect
327. #66938C23semidirect
330. #66937C23semidirect
331. #66937C23semidirect
332. #66937C23semidirect
333. #66936C23semidirect
334. #66936C23semidirect
335. #66936C23semidirect
341. #66932C23semidirect
342. #66931C23semidirect
343. #66931C23semidirect
344. #66931C23semidirect
345. #66931C23semidirect
346. #66929C23semidirect
347. #66928C23semidirect
350. C4×D44C23semidirect
351. #66925C23semidirect
352. #66923C23semidirect
353. #66922C23semidirect
539. C2×#548D11semidirect
671. C22×#41C2×D11semidirect
672. C23×Q8C2×D11semidirect
681. #548C2×D11semidirect
706. C2×#124C2×D11semidirect
707. C2×#124C2×D11semidirect
740. C2×C22⋊Q8C2×D11semidirect
741. C2×C22⋊Q8C2×D11semidirect
762. C2×#121C2×D11semidirect
768. C2×C4×Q8C2×D11semidirect
777. C2×C4×D4C2×D11semidirect
778. C2×C4×D4C2×D11semidirect
850. C2×#41C22×D11semidirect
858. C22×Q8C22×D11semidirect
910. #124C22×D11semidirect
911. #124C22×D11semidirect
942. C22⋊Q8C22×D11semidirect
943. C22⋊Q8C22×D11semidirect
963. #121C22×D11semidirect
969. C4×Q8C22×D11semidirect
978. C4×D4C22×D11semidirect
979. C4×D4C22×D11semidirect
1049. C2×C11#3536semidirect
1235. C11C2×#3536semidirect
1403. C2#13082832direct (N × H)

Maximal subgroups

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

subgroupindex
#130828322
C2×#106231782
C2×#106232152
C2×#106231102
C2×#106231662
C2×#106233482
C2×#106230862
C2×#106231422
C2×#106230852
C2×#106232072
C2×#106231412
C2×#106233602
C2×#106231652
C2×#106231132
C2×#106232132
C2×#106230952
C2×#106232092
C2×#106231602
C2×#106233642
C2×#106231282
C2×#106230782
C22×#669992
C2×D11×#1212
C2×C11×#5482
C2×#353611