Finite Group Databasebeta

← C2×#13082444 #15661690

Subgroups — C2×#13082444 #15661690

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#13082444C2132yesmaximal, direct product factor
2C2×#10623089C212yesmaximal, complemented
3C2×#10623145C211yesmaximal, characteristic, complemented
4C2×#10623192C212yesmaximal, complemented
5C2×#10623061C211yesmaximal, characteristic, complemented
6C2×#10623060C211yesmaximal, characteristic, complemented
7C2×#10623170C211yesmaximal, characteristic, complemented
8C2×#10623087C212yesmaximal, complemented
9C2×#10623190C212yesmaximal, complemented
10C2×#10623164C211yesmaximal, characteristic, complemented
11C2×#10623362C211yesmaximal, characteristic, complemented
12C2×#10623143C211yesmaximal, characteristic, complemented
13C2×#10623360C211yesmaximal, characteristic, complemented
14C2×#10623095C212yesmaximal, complemented
15C2×#10623124C212yesmaximal, complemented
16C2×#10623120C212yesmaximal, complemented
17C2×#10623155C211yesmaximal, characteristic, complemented
18C2×#10623131C211yesmaximal, characteristic, complemented
19C2×#10623322C211yesmaximal, characteristic, complemented
20C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
21C2×D11×#121C211yesmaximal, characteristic, complemented
22C2×#10623076C212yesmaximal, complemented
23C22×C4×C22⋊D11C211yesmaximal, characteristic, complemented
24C2×C11×#525C211yesmaximal, characteristic, complemented
25C22×C11×#41C2211yescharacteristic, complemented
26C24×C4×C11C2211yescharacteristic, complemented
27C23×C22⋊D11C2211yescharacteristic
28C22×Q8×D11C2211yescharacteristic, complemented
29C22×D4×D11C2212yes—
30C22×D4×D11C2211yescharacteristic, complemented
31C22×#4339C2211yescharacteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C11×#525C22116yescomplemented
34C2×C11×#123C2212yescomplemented
35C2×C11×C22⋊Q8C2211yescharacteristic, complemented
36C2×C11×C22⋊Q8C2211yescharacteristic, complemented
37C2×C11×#121C2211yescharacteristic
38C2×C11×#121C2211yescharacteristic, complemented
39C2×C11×#120C2212yescomplemented
40C2×C4×D4×C11C2212yescomplemented
41C2×C4×D4×C11C2212yescomplemented
42C2×C11×#117C2211yescharacteristic, complemented
43C2×#67006C2212yescomplemented
44C22×C22⋊Dic11C2211yescharacteristic, complemented
45#10623362C22116yescomplemented
46#10623360C22116yescomplemented
47C2×#67000C2211yescharacteristic, complemented
48C2×#66999C2211yescharacteristic, complemented
49C2×Q8×Dic11C2211yescharacteristic, complemented
50C2×#66992C2212yes—
51C2×#66992C2212yescomplemented
52C2×#66991C2212yescomplemented
53C2×#66991C2212yescomplemented
54C2×#66991C2211yescharacteristic, complemented
55C2×#66991C2212yescomplemented
56C2×#66990C2212yes—
57C2×#66990C2212yes—
58C2×#66989C2212yescomplemented
59C2×#66989C2211yescharacteristic, complemented
60C2×#66988C2212yescomplemented
61C2×#66988C2212yescomplemented
62C2×D4×Dic11C2211yescharacteristic, complemented
63C2×D4×Dic11C2212yescomplemented
64#10623322C22116yescomplemented
65C2×#66983C2211yescharacteristic
66C2×#66983C2211yescharacteristic, complemented
67C2×#66982C2212yescomplemented
68C2×#66982C2212yescomplemented
69C2×C4×C22⋊D11C2211yescharacteristic
70C2×C4×C22⋊D11C2211yescharacteristic
71C2×C4×C22⋊D11C2211yescharacteristic
72C2×C4×C22⋊D11C2211yescharacteristic
73C2×C4×C22⋊D11C2212yescomplemented
74C2×C4×C22⋊D11C2212yescomplemented
75C2×C4×C22⋊D11C2211yescharacteristic, complemented
76C2×C4×C22⋊D11C2211yescharacteristic, complemented
77C2×C4×C22⋊D11C2211yescharacteristic, complemented
78C2×C4×C22⋊D11C2211yescharacteristic, complemented
79C2×C4×C22⋊D11C2212yescomplemented
80C2×C4×C22⋊D11C22116yescomplemented
81C22×(C2×D11)⋊C4C2211yescharacteristic
82C22×(C2×D11)⋊C4C2212yescomplemented
83C2×#66979C2211yescharacteristic, complemented
84C2×#66977C2211yescharacteristic, complemented
85C2×#66977C2211yescharacteristic, complemented
86C2×#66977C2212yescomplemented
87C22×Dic11⋊C4C2211yescharacteristic, complemented
88C22×C4×Dic11C2211yescharacteristic, complemented
89#10623192C22132yescomplemented
90#10623190C22132yescomplemented
91#10623170C22116yescomplemented
92#10623164C22116yescomplemented
93D11×C22⋊Q8C22116yescomplemented
94#10623155C22116yescomplemented
95#10623145C22116yescomplemented
96#10623143C22116yescomplemented
97D11×#121C22116yescomplemented
98#10623131C22116yescomplemented
99#10623124C22132yescomplemented
100#10623120C22132yescomplemented
101#10623095C22132yescomplemented
102#10623089C22132yescomplemented
103#10623087C22132yescomplemented
104#10623076C22132yescomplemented
105#10623061C22116yescomplemented
106#10623060C22116yescomplemented
107C2×#66951C2212yescomplemented
108C2×#66950C2211yescharacteristic, complemented
109C2×#66949C2212yescomplemented
110C2×#66949C2212yescomplemented
111C2×#66948C2211yescharacteristic, complemented
112C2×#66946C2211yescharacteristic, complemented
113C2×#66946C2212yescomplemented
114C2×#66945C2212yescomplemented
115C2×#66945C2212yescomplemented
116C2×C4⋊C4×D11C2211yescharacteristic, complemented
117C2×C4⋊C4×D11C2211yescharacteristic, complemented
118C2×C4⋊C4×D11C2212yescomplemented
119C2×#66943C2211yescharacteristic, complemented
120C2×#66943C2211yescharacteristic, complemented
121C2×#66942C2212yescomplemented
122C2×#66940C2211yescharacteristic, complemented
123C2×#66939C2212yescomplemented
124C2×#66938C2212yescomplemented
125C2×#66937C2212yescomplemented
126C2×#66937C2212yescomplemented
127C2×#66937C2212yescomplemented
128C2×#66936C2212yes—
129C2×#66936C2212yes—
130C2×#66936C2212yescomplemented
131C2×#66936C2212yescomplemented
132C2×(C22⋊D11)⋊C4C2212yescomplemented
133C2×(C22⋊D11)⋊C4C2212yescomplemented
134C2×C22⋊C4×D11C2212yes—
135C2×C22⋊C4×D11C2212yescomplemented
136C2×C22⋊C4×D11C2212yescomplemented
137C2×#66932C2212yescomplemented
138C2×#66932C2212yescomplemented
139C2×#66932C2212yescomplemented
140C2×#66932C2212yescomplemented
141C2×#66931C2212yescomplemented
142C2×#66930C2212yescomplemented
143C2×#66929C2212yescomplemented
144C2×C4×D44C2212yescomplemented
145C2×#66925C2212yescomplemented
146C2×#66923C2212yescomplemented
147C25×C11C2311yescharacteristic
148C24×D11C2312yes—
149C24×D11C2311yescharacteristic
150C2×C11×#41—44no—
151C2×C11×#41C2318yescomplemented
152C22×Q8×C11C2311yescharacteristic
153C22×D4×C11C2312yes—
154C22×D4×C11C2311yescharacteristic
155C22×D4×C11C2312yes—
156C22×D4×C11C2312yes—
157C23×C4×C11—44no—
158C23×C4×C11C2311yescharacteristic
159C23×C4×C11C2311yescharacteristic
160C23×C4×C11C2311yescharacteristic
161C23×C4×C11C2311yescharacteristic
162C23×C4×C11C2312yes—
163C23×C4×C11C2311yescharacteristic
164C23×C4×C11C2311yescharacteristic
165C23×C4×C11C2318yescomplemented
166C22×C22⋊D11—28no—
167C22×C22⋊D11C2312yes—
168C22×C22⋊D11C2312yes—
169C22×C22⋊D11C2311yescharacteristic
170C22×C22⋊D11C2311yescharacteristic
171C22×C22⋊D11C2311yescharacteristic
172C22×C22⋊D11C2311yescharacteristic
173C22×C22⋊D11C2318yes—
174C22×C22⋊D11C2312yes—
175C22×C22⋊D11C2312yes—
176C22×C22⋊D11C2312yes—
177C23×Dic11C2311yescharacteristic
178C23×Dic11C2312yes—
179C23×Dic11C2311yescharacteristic
180C23×Dic11C2311yescharacteristic
181C2×Q8×D11—44no—
182C2×Q8×D11C2318yescomplemented
183C2×D4×D11—216no—
184C2×D4×D11—44no—
185C2×D4×D11C23116yes—
186C2×D4×D11C2318yescomplemented
187C2×#4339—44no—
188C2×#4339C2318yescomplemented
189C22×D44C2312yes—
190C22×D44C2311yescharacteristic
191C22×C4×D11—44no—
192C22×C4×D11C2312yes—
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2312yes—
196C22×C4×D11C2312yes—
197C22×C4×D11C2312yes—
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2312yes—
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2318yes—
202C22×Dic22C2311yescharacteristic
203C22×Dic22C2312yes—
204C11×#123C23116yescomplemented
205C11×C22⋊Q8C2318yescomplemented
206C11×C22⋊Q8C2318yescomplemented
207C11×#121C2318yes—
208C11×#121C2318yescomplemented
209C11×#120C23116yescomplemented
210C4×D4×C11C23116yescomplemented
211C4×D4×C11C23116yescomplemented
212C11×#117C2318yescomplemented
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2312yes—
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2312yes—
217C2×C11×C22⋊C4C2312yes—
218C2×C11×C22⋊C4C2312yes—
219C2×C11×C22⋊C4C2312yes—
220C2×C11×C22⋊C4C2312yes—
221C2×C11×C22⋊C4C2312yes—
222C2×C42×C11C2312yes—
223#67006C23116yescomplemented
224C2×C22⋊Dic11C2312yes—
225C2×C22⋊Dic11C2312yes—
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2312yes—
229C2×C22⋊Dic11C2312yes—
230C2×C22⋊Dic11C2312yes—
231C2×C22⋊Dic11C2312yes—
232C2×C22⋊Dic11C2312yes—
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2318yescomplemented
236#67000C2318yescomplemented
237#66999C2318yescomplemented
238Q8×Dic11C2318yescomplemented
239#66992C23116yes—
240#66992C23116yescomplemented
241#66991C23116yescomplemented
242#66991C23116yescomplemented
243#66991C23116yescomplemented
244#66991C2318yescomplemented
245#66990C23116yes—
246#66990C23116yes—
247#66989C23116yescomplemented
248#66989C2318yescomplemented
249#66988C23116yescomplemented
250#66988C23116yescomplemented
251D4×Dic11C23116yescomplemented
252D4×Dic11C2318yescomplemented
253#66983C2318yes—
254#66983C2318yescomplemented
255#66982C23116yescomplemented
256#66982C23116yescomplemented
257C4×C22⋊D11C2318yes—
258C4×C22⋊D11C2318yes—
259C4×C22⋊D11C2318yes—
260C4×C22⋊D11C2318yes—
261C4×C22⋊D11C2318yescomplemented
262C4×C22⋊D11C2318yescomplemented
263C4×C22⋊D11C2318yescomplemented
264C4×C22⋊D11C2318yescomplemented
265C4×C22⋊D11C23116yescomplemented
266C4×C22⋊D11C23116yescomplemented
267C4×C22⋊D11C23116yescomplemented
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2312yes—
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2312yes—
272C2×(C2×D11)⋊C4C2312yes—
273C2×(C2×D11)⋊C4C2312yes—
274C2×(C2×D11)⋊C4C2312yes—
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2312yes—
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2312yes—
279C2×(C2×D11)⋊C4C2312yes—
280C2×(C2×D11)⋊C4C2318yes—
281C2×(C2×D11)⋊C4C23116yescomplemented
282#66979C2318yescomplemented
283C2×C4⋊Dic11C2312yes—
284C2×C4⋊Dic11C2312yes—
285C2×C4⋊Dic11C2312yes—
286C2×C4⋊Dic11C2312yes—
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289#66977C2318yescomplemented
290#66977C2318yescomplemented
291#66977C23116yescomplemented
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2312yes—
294C2×Dic11⋊C4C2312yes—
295C2×Dic11⋊C4C2312yes—
296C2×Dic11⋊C4C2312yes—
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2312yes—
299C2×Dic11⋊C4C2312yes—
300C2×Dic11⋊C4C2312yes—
301C2×Dic11⋊C4C2312yes—
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2318yescomplemented
305C2×C4×Dic11C2312yes—
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2312yes—
309C2×C4×Dic11C2312yes—
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2318yescomplemented
313#66951C23116yescomplemented
314#66950C2318yescomplemented
315#66949C23116yescomplemented
316#66949C23116yescomplemented
317#66948C2318yescomplemented
318#66946C2318yescomplemented
319#66946C23116yescomplemented
320#66945C23116yescomplemented
321#66945C23116yescomplemented
322C4⋊C4×D11C2318yescomplemented
323C4⋊C4×D11C2318yescomplemented
324C4⋊C4×D11C23116yescomplemented
325#66943C2318yescomplemented
326#66943C2318yescomplemented
327#66942C23116yescomplemented
328#66940C2318yescomplemented
329#66939C23116yescomplemented
330#66938C23116yescomplemented
331#66937C23116yescomplemented
332#66937C23116yescomplemented
333#66937C23116yescomplemented
334#66936C23116yes—
335#66936C23116yes—
336#66936C23116yescomplemented
337#66936C23116yescomplemented
338(C22⋊D11)⋊C4C23116yescomplemented
339(C22⋊D11)⋊C4C23116yescomplemented
340C22⋊C4×D11C23116yes—
341C22⋊C4×D11C23116yescomplemented
342C22⋊C4×D11C23116yescomplemented
343#66932C23116yescomplemented
344#66932C23116yescomplemented
345#66932C23116yescomplemented
346#66932C23116yescomplemented
347#66931C23116yescomplemented
348#66930C23116yescomplemented
349#66929C23116yescomplemented
350C4×D44C23116yescomplemented
351#66925C23116yescomplemented
352#66923C23116yescomplemented
353C2×#3505—111nomaximal, Sylow
354C24×C11—24no—
355C24×C11—42no—
356C24×C11—42no—
357C24×C11C2412yes—
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C24×C11C2411yescharacteristic
361C24×C11C2414yes—
362C23×D11—28no—
363C23×D11—42no—
364C23×D11—42no—
365C23×D11—44no—
366C23×D11—44no—
367C23×D11#4118yescomplemented
368C23×D11C2412yes—
369C23×D11C2411yescharacteristic
370C23×D11C2411yescharacteristic
371C23×D11C2418yes—
372C23×D11C2414yes—
373C11×#41—416no—
374C2×Q8×C11—24no—
375C2×Q8×C11C2414yes—
376C2×D4×C11—28no—
377C2×D4×C11—24no—
378C2×D4×C11—44no—
379C2×D4×C11—44no—
380C2×D4×C11C2418yes—
381C2×D4×C11C2414yes—
382C2×D4×C11C2418yes—
383C2×D4×C11C2418yes—
384C22×C4×C11—24no—
385C22×C4×C11—24no—
386C22×C4×C11—24no—
387C22×C4×C11—416no—
388C22×C4×C11—42no—
389C22×C4×C11—42no—
390C22×C4×C11—42no—
391C22×C4×C11—44no—
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2412yes—
395C22×C4×C11C2412yes—
396C22×C4×C11C2414yes—
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2412yes—
399C22×C4×C11C2414yes—
400C22×C4×C11C2414yes—
401C22×C4×C11C2414yes—
402C22×C4×C11C2418yes—
403C22×C4×C11C2414yes—
404C22×C4×C11C2414yes—
405C22×C4×C11C2411yescharacteristic
406C2×C22⋊D11—28no—
407C2×C22⋊D11—28no—
408C2×C22⋊D11—24no—
409C2×C22⋊D11—24no—
410C2×C22⋊D11—24no—
411C2×C22⋊D11—24no—
412C2×C22⋊D11—232no—
413C2×C22⋊D11—44no—
414C2×C22⋊D11—44no—
415C2×C22⋊D11—44no—
416C2×C22⋊D11C2418yes—
417C2×C22⋊D11C2418yes—
418C2×C22⋊D11C2414yes—
419C2×C22⋊D11C2414yes—
420C2×C22⋊D11C2414yes—
421C2×C22⋊D11C2414yes—
422C2×C22⋊D11C2418yes—
423C2×C22⋊D11C2418yes—
424C2×C22⋊D11C2418yes—
425C22×Dic11—24no—
426C22×Dic11—42no—
427C22×Dic11—42no—
428C22×Dic11—44no—
429C22×Dic11C2414yes—
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2412yes—
435C22×Dic11C2412yes—
436C22×Dic11C2412yes—
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2418yes—
440C22×Dic11C2414yes—
441C22×Dic11C2414yes—
442Q8×D11—416no—
443D4×D11—264no—
444D4×D11—416no—
445#4339—416no—
446C2×D44—28no—
447C2×D44—24no—
448C2×D44C2418yes—
449C2×D44C2414yes—
450C2×C4×D11—28no—
451C2×C4×D11—24no—
452C2×C4×D11—24no—
453C2×C4×D11—42no—
454C2×C4×D11—42no—
455C2×C4×D11—44no—
456C2×C4×D11—44no—
457C2×C4×D11—44no—
458C2×C4×D11—44no—
459C2×C4×D11—416no—
460C2×C4×D11C2418yes—
461C2×C4×D11C2414yes—
462C2×C4×D11C2414yes—
463C2×C4×D11C2418yes—
464C2×C4×D11C2418yes—
465C2×C4×D11C2418yes—
466C2×C4×D11C2414yes—
467C2×C4×D11C2418yes—
468C2×C4×D11C2414yes—
469C2×Dic22—24no—
470C2×Dic22—44no—
471C2×Dic22C2414yes—
472C2×Dic22C2418yes—
473C11×C4⋊C4C2414yes—
474C11×C4⋊C4C2418yes—
475C11×C4⋊C4C2414yes—
476C11×C4⋊C4C2418yes—
477C11×C22⋊C4C2418yes—
478C11×C22⋊C4C2418yes—
479C11×C22⋊C4C2418yes—
480C11×C22⋊C4C2418yes—
481C11×C22⋊C4C2418yes—
482C42×C11C2418yes—
483C22⋊Dic11C2418yes—
484C22⋊Dic11C2418yes—
485C22⋊Dic11C2414yes—
486C22⋊Dic11C2414yes—
487C22⋊Dic11C2418yes—
488C22⋊Dic11C2418yes—
489C22⋊Dic11C2418yes—
490C22⋊Dic11C2418yes—
491C22⋊Dic11C2418yes—
492C22⋊Dic11C2414yes—
493C22⋊Dic11C2414yes—
494(C2×D11)⋊C4C2414yes—
495(C2×D11)⋊C4C2418yes—
496(C2×D11)⋊C4C2414yes—
497(C2×D11)⋊C4C2418yes—
498(C2×D11)⋊C4C2418yes—
499(C2×D11)⋊C4C2418yes—
500(C2×D11)⋊C4C2418yes—
501(C2×D11)⋊C4C2414yes—
502(C2×D11)⋊C4C2418yes—
503(C2×D11)⋊C4C2414yes—
504(C2×D11)⋊C4C2418yes—
505(C2×D11)⋊C4C2418yes—
506C4⋊Dic11C2418yes—
507C4⋊Dic11C2418yes—
508C4⋊Dic11C2418yes—
509C4⋊Dic11C2418yes—
510C4⋊Dic11C2414yes—
511C4⋊Dic11C2414yes—
512Dic11⋊C4C2414yes—
513Dic11⋊C4C2418yes—
514Dic11⋊C4C2418yes—
515Dic11⋊C4C2418yes—
516Dic11⋊C4C2418yes—
517Dic11⋊C4C2414yes—
518Dic11⋊C4C2418yes—
519Dic11⋊C4C2418yes—
520Dic11⋊C4C2418yes—
521Dic11⋊C4C2418yes—
522Dic11⋊C4C2414yes—
523Dic11⋊C4C2414yes—
524C4×Dic11C2418yes—
525C4×Dic11C2414yes—
526C4×Dic11C2414yes—
527C4×Dic11C2418yes—
528C4×Dic11C2418yes—
529C4×Dic11C2414yes—
530C4×Dic11C2414yes—
531#3505—1132no—
532C2×#553—112no—
533C2×#553—111no—
534C2×#553—112no—
535C2×#553—111no—
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×#529—111no—
549C2×#525—111no—
550C2×#525D1111yescharacteristic, complemented
551C22×C22⋊Q8—111no—
552C22×#121—111no—
553C2×#518—112no—
554C22×C4×D4—111no—
555C23×C11—22no—
556C23×C11—22no—
557C23×C11—28no—
558C23×C11—22no—
559C23×C11—22no—
560C23×C11—24no—
561C23×C11—22no—
562C23×C11—24no—
563C23×C11—22no—
564C23×C11—24no—
565C23×C11—22no—
566C23×C11—22no—
567C23×C11—44no—
568C23×C11—44no—
569C23×C11—416no—
570C23×C11C2×#4114yes—
571C23×C11C2514yes—
572C23×C11C2512yes—
573C23×C11C2512yes—
574C23×C11C2512yes—
575C23×C11C2511yescharacteristic
576C22×D11—22no—
577C22×D11—22no—
578C22×D11—22no—
579C22×D11—22no—
580C22×D11—24no—
581C22×D11—24no—
582C22×D11—24no—
583C22×D11—216no—
584C22×D11—44no—
585C22×D11—416no—
586C22×D11—44no—
587C22×D11—48no—
588C22×D11—48no—
589C22×D11—816no—
590C22×D11C2×#4114yes—
591C22×D11C2×#4114yes—
592C22×D11C2×#41116yescomplemented
593C22×D11C2514yes—
594C22×D11C2512yes—
595C22×D11C2512yes—
596Q8×C11—28no—
597D4×C11—216no—
598D4×C11—28no—
599D4×C11—48no—
600D4×C11—48no—
601C2×C4×C11—24no—
602C2×C4×C11—24no—
603C2×C4×C11—22no—
604C2×C4×C11—22no—
605C2×C4×C11—22no—
606C2×C4×C11—24no—
607C2×C4×C11—28no—
608C2×C4×C11—28no—
609C2×C4×C11—28no—
610C2×C4×C11—44no—
611C2×C4×C11—44no—
612C2×C4×C11—44no—
613C2×C4×C11—48no—
614C2×C4×C11H(5,𝔽2)14yes—
615C2×C4×C11C2512yes—
616C2×C4×C11C2512yes—
617C2×C4×C11C2514yes—
618C2×C4×C11C2514yes—
619C2×C4×C11C2512yes—
620C2×C4×C11C2514yes—
621C2×C4×C11C2512yes—
622C22⋊D11—216no—
623C22⋊D11—216no—
624C22⋊D11—28no—
625C22⋊D11—28no—
626C22⋊D11—28no—
627C22⋊D11—28no—
628C22⋊D11—48no—
629C22⋊D11—48no—
630C22⋊D11—48no—
631C2×Dic11—24no—
632C2×Dic11—28no—
633C2×Dic11—22no—
634C2×Dic11—22no—
635C2×Dic11—24no—
636C2×Dic11—22no—
637C2×Dic11—22no—
638C2×Dic11—22no—
639C2×Dic11—24no—
640C2×Dic11—22no—
641C2×Dic11—44no—
642C2×Dic11—44no—
643C2×Dic11—48no—
644C2×Dic11C2512yes—
645C2×Dic11C2512yes—
646C2×Dic11C2512yes—
647C2×Dic11C2512yes—
648C2×Dic11C2514yes—
649C2×Dic11C2514yes—
650C2×Dic11C2514yes—
651C2×Dic11C2512yes—
652C2×Dic11C2512yes—
653D44—216no—
654D44—28no—
655C4×D11—216no—
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—28no—
665Dic22—48no—
666C22×#41—111no—
667C22×#41C2×D1111yescharacteristic, complemented
668C23×Q8—111no—
669C23×D4—111no—
670C23×D4—112no—
671C23×D4—111no—
672C24×C4—111no—
673C24×C4C2×D1111yescharacteristic, complemented
674#553—1132no—
675#553—1116no—
676#553—1132no—
677#553—1116no—
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#529—1116no—
691C2×#126—112no—
692C2×#126—112no—
693C2×#126—112no—
694C2×#126—112no—
695C2×#126—112no—
696C2×#126—112no—
697C2×#125—112no—
698C2×#125—111no—
699C2×#125—111no—
700C2×#125—112no—
701C2×#124—111no—
702C2×#124—111no—
703C2×#124—112no—
704C2×#124—112no—
705#525—1116no—
706#525C2×D11116yescomplemented
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—112no—
721C2×C22⋊Q8—1116no—
722C2×C22⋊Q8—112no—
723C2×C22⋊Q8—112no—
724C2×C22⋊Q8—111no—
725C2×C22⋊Q8—112no—
726C2×C22⋊Q8C2×D1111yescharacteristic, complemented
727C2×C22⋊Q8C2×D1111yescharacteristic, complemented
728C2×#121—111no—
729C2×#121—112no—
730C2×#121—112no—
731C2×#121—112no—
732C2×#121—112no—
733C2×#121—112no—
734C2×#121—111no—
735C2×#121—111no—
736C2×#121—1116no—
737C2×#121—111no—
738C2×#121—112no—
739C2×#121—112no—
740C2×#121—112no—
741C2×#121C2×D1111yescharacteristic
742C2×#121C2×D1111yescharacteristic, complemented
743C2×#120—112no—
744C2×#120—112no—
745C2×#120—112no—
746C2×#120C2×D1112yescomplemented
747#518—1132no—
748C2×C4×Q8—111no—
749C2×C4×Q8—111no—
750C2×C4×D4—112no—
751C2×C4×D4—111no—
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C2×C4×D4—111no—
755C2×C4×D4—111no—
756C2×C4×D4—111no—
757C2×C4×D4—111no—
758C2×C4×D4—111no—
759C2×C4×D4—111no—
760C2×C4×D4—112no—
761C2×C4×D4—112no—
762C2×C4×D4—112no—
763C2×C4×D4—1116no—
764C2×C4×D4—112no—
765C2×C4×D4—111no—
766C2×C4×D4—112no—
767C2×C4×D4—112no—
768C2×C4×D4—112no—
769C2×C4×D4C2×D1112yescomplemented
770C2×C4×D4C2×D1112yescomplemented
771C2×#117—111no—
772C2×#117—112no—
773C2×#117—112no—
774C2×#117—112no—
775C2×#117—112no—
776C2×#117C2×D1111yescharacteristic, complemented
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×C42—111no—
788C22×C11—22no—
789C22×C11—22no—
790C22×C11—28no—
791C22×C11—24no—
792C22×C11—22no—
793C22×C11—22no—
794C22×C11—22no—
795C22×C11—22no—
796C22×C11—24no—
797C22×C11—22no—
798C22×C11—24no—
799C22×C11—22no—
800C22×C11—416no—
801C22×C11—48no—
802C22×C11—44no—
803C22×C11—44no—
804C22×C11C22×#4114yes—
805C22×C11C22×#4112yes—
806C22×C11C2×H(5,𝔽2)12yes—
807C22×C11#58512yes—
808C22×C11C2611yescharacteristic
809C2×D11—22no—
810C2×D11—22no—
811C2×D11—22no—
812C2×D11—22no—
813C2×D11—28no—
814C2×D11—28no—
815C2×D11—24no—
816C2×D11—24no—
817C2×D11—24no—
818C2×D11—416no—
819C2×D11—48no—
820C2×D11—816no—
821C2×D11C22×#4114yes—
822C2×D11C22×#4114yes—
823C4×C11—24no—
824C4×C11—22no—
825C4×C11—22no—
826C4×C11—22no—
827C4×C11—24no—
828C4×C11—24no—
829C4×C11C2×H(5,𝔽2)14yes—
830Dic11—24no—
831Dic11—22no—
832Dic11—22no—
833Dic11—24no—
834Dic11—22no—
835Dic11—22no—
836Dic11—22no—
837Dic11—24no—
838Dic11—22no—
839C25—111no—
840C25—112no—
841C25C22×D1111yescharacteristic
842C2×#41—44no—
843C2×#41—118no—
844C2×#41—444no—
845C2×#41C22×D1118yescomplemented
846C22×Q8—118no—
847C22×Q8—111no—
848C22×Q8—112no—
849C22×Q8—444no—
850C22×Q8C22×D1111yescharacteristic
851C22×D4—111no—
852C22×D4—111no—
853C22×D4—112no—
854C22×D4—112no—
855C22×D4—111no—
856C22×D4—111no—
857C22×D4—118no—
858C22×D4—112no—
859C22×D4—112no—
860C22×D4—112no—
861C22×D4—1116no—
862C22×D4—118no—
863C22×D4—112no—
864C22×D4—111no—
865C22×D4—2216no—
866C22×D4—228no—
867C22×D4—444no—
868C22×D4C22×D1112yes—
869C22×D4C22×D1111yescharacteristic
870C22×D4C22×D1112yes—
871C22×D4C22×D1112yes—
872C23×C4—44no—
873C23×C4—111no—
874C23×C4—111no—
875C23×C4—111no—
876C23×C4—112no—
877C23×C4—112no—
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—118no—
887C23×C4—444no—
888C23×C4C22×D1111yescharacteristic
889C23×C4C22×D1111yescharacteristic
890C23×C4C22×D1111yescharacteristic
891C23×C4C22×D1111yescharacteristic
892C23×C4C22×D1112yes—
893C23×C4C22×D1111yescharacteristic
894C23×C4C22×D1111yescharacteristic
895C23×C4C22×D1118yescomplemented
896#126—1116no—
897#126—1116no—
898#126—1116no—
899#126—1116no—
900#126—1116no—
901#126—1116no—
902#125—118no—
903#125—118no—
904#125—1116no—
905#125—1116no—
906#124—118no—
907#124—118no—
908#124—1116no—
909#124—1116no—
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—1116no—
924C22⋊Q8—118no—
925C22⋊Q8—1116no—
926C22⋊Q8—1116no—
927C22⋊Q8—1116no—
928C22⋊Q8C22×D1118yescomplemented
929C22⋊Q8C22×D1118yescomplemented
930#121—1116no—
931#121—118no—
932#121—1116no—
933#121—1116no—
934#121—1116no—
935#121—1116no—
936#121—118no—
937#121—118no—
938#121—118no—
939#121—1116no—
940#121—1116no—
941#121—1116no—
942#121C22×D1118yes—
943#121C22×D1118yescomplemented
944#120—1116no—
945#120—1116no—
946#120—1116no—
947#120C22×D11116yescomplemented
948C4×Q8—118no—
949C4×Q8—118no—
950C4×D4—1116no—
951C4×D4—118no—
952C4×D4—118no—
953C4×D4—118no—
954C4×D4—118no—
955C4×D4—118no—
956C4×D4—118no—
957C4×D4—118no—
958C4×D4—118no—
959C4×D4—118no—
960C4×D4—1116no—
961C4×D4—1116no—
962C4×D4—1116no—
963C4×D4—1116no—
964C4×D4—118no—
965C4×D4—1116no—
966C4×D4—1116no—
967C4×D4—1116no—
968C4×D4C22×D11116yescomplemented
969C4×D4C22×D11116yescomplemented
970#117—118no—
971#117—1116no—
972#117—1116no—
973#117—1116no—
974#117—1116no—
975#117C22×D1118yescomplemented
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—112no—
994C2×C4⋊C4—112no—
995C2×C4⋊C4—118no—
996C2×C4⋊C4—118no—
997C2×C4⋊C4—1116no—
998C2×C4⋊C4C22×D1112yes—
999C2×C4⋊C4C22×D1111yescharacteristic
1000C2×C4⋊C4C22×D1111yescharacteristic
1001C2×C4⋊C4C22×D1112yes—
1002C2×C22⋊C4—112no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—112no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—118no—
1009C2×C22⋊C4—112no—
1010C2×C22⋊C4—112no—
1011C2×C22⋊C4—112no—
1012C2×C22⋊C4—112no—
1013C2×C22⋊C4—112no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—112no—
1017C2×C22⋊C4—112no—
1018C2×C22⋊C4—112no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—118no—
1022C2×C22⋊C4—112no—
1023C2×C22⋊C4—112no—
1024C2×C22⋊C4—1116no—
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×C42—111no—
1040C2×C42—111no—
1041C2×C42—111no—
1042C2×C42—111no—
1043C2×C42—118no—
1044C2×C42C22×D1112yes—
1045C2×C11—24no—
1046C2×C11—44no—
1047C2×C11—42no—
1048C2×C11—42no—
1049C2×C11#350514yescomplemented
1050C2×C11C23×#4111yescharacteristic
1051C2×C11C22×H(5,𝔽2)11yescharacteristic
1052C2×C11C2×#58511yescharacteristic
1053D11—24no—
1054D11—24no—
1055D11—44no—
1056C24—24no—
1057C24—42no—
1058C24—42no—
1059C24—111no—
1060C24—111no—
1061C24—118no—
1062C24—114no—
1063C24—112no—
1064C24—118no—
1065C24—228no—
1066C24—442no—
1067C24—442no—
1068C24—444no—
1069C24—444no—
1070C24C23×D1112yes—
1071C24C23×D1111yescharacteristic
1072C24C23×D1111yescharacteristic
1073C24C23×D1111yescharacteristic
1074C24C23×D1114yes—
1075#41—416no—
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—44no—
1087C2×D4—44no—
1088C2×D4—114no—
1089C2×D4—114no—
1090C2×D4—118no—
1091C2×D4—118no—
1092C2×D4—114no—
1093C2×D4—114no—
1094C2×D4—118no—
1095C2×D4—118no—
1096C2×D4—118no—
1097C2×D4—118no—
1098C2×D4—114no—
1099C2×D4—228no—
1100C2×D4—2264no—
1101C2×D4—228no—
1102C2×D4—224no—
1103C2×D4—224no—
1104C2×D4—224no—
1105C2×D4—224no—
1106C2×D4—2232no—
1107C2×D4—228no—
1108C2×D4—224no—
1109C2×D4—4416no—
1110C2×D4—444no—
1111C2×D4—444no—
1112C2×D4—444no—
1113C2×D4C23×D1118yes—
1114C2×D4C23×D1114yes—
1115C2×D4C23×D1118yes—
1116C2×D4C23×D1118yes—
1117C22×C4—24no—
1118C22×C4—24no—
1119C22×C4—24no—
1120C22×C4—416no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—44no—
1125C22×C4—114no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—112no—
1129C22×C4—111no—
1130C22×C4—111no—
1131C22×C4—112no—
1132C22×C4—112no—
1133C22×C4—111no—
1134C22×C4—111no—
1135C22×C4—114no—
1136C22×C4—114no—
1137C22×C4—118no—
1138C22×C4—118no—
1139C22×C4—114no—
1140C22×C4—114no—
1141C22×C4—114no—
1142C22×C4—118no—
1143C22×C4—118no—
1144C22×C4—118no—
1145C22×C4—118no—
1146C22×C4—114no—
1147C22×C4—228no—
1148C22×C4—224no—
1149C22×C4—224no—
1150C22×C4—224no—
1151C22×C4—4416no—
1152C22×C4—442no—
1153C22×C4—442no—
1154C22×C4—444no—
1155C22×C4—444no—
1156C22×C4—444no—
1157C22×C4—444no—
1158C22×C4—442no—
1159C22×C4—442no—
1160C22×C4—444no—
1161C22×C4C23×D1114yes—
1162C22×C4C23×D1114yes—
1163C22×C4C23×D1114yes—
1164C22×C4C23×D1111yescharacteristic
1165C22×C4C23×D1111yescharacteristic
1166C22×C4C23×D1112yes—
1167C22×C4C23×D1112yes—
1168C22×C4C23×D1111yescharacteristic
1169C22×C4C23×D1112yes—
1170C22×C4C23×D1114yes—
1171C22×C4C23×D1118yes—
1172C22×C4C23×D1114yes—
1173C22×C4C23×D1114yes—
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⋊C4—118no—
1192C4⋊C4—118no—
1193C4⋊C4C23×D1118yes—
1194C4⋊C4C23×D1114yes—
1195C4⋊C4C23×D1114yes—
1196C4⋊C4C23×D1118yes—
1197C22⋊C4—118no—
1198C22⋊C4—114no—
1199C22⋊C4—114no—
1200C22⋊C4—118no—
1201C22⋊C4—114no—
1202C22⋊C4—114no—
1203C22⋊C4—118no—
1204C22⋊C4—118no—
1205C22⋊C4—118no—
1206C22⋊C4—118no—
1207C22⋊C4—118no—
1208C22⋊C4—114no—
1209C22⋊C4—114no—
1210C22⋊C4—118no—
1211C22⋊C4—118no—
1212C22⋊C4—118no—
1213C22⋊C4—114no—
1214C22⋊C4—114no—
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—114no—
1226C42—114no—
1227C42—114no—
1228C42—114no—
1229C42—118no—
1230C42—118no—
1231C42—118no—
1232C42C23×D1118yes—
1233C11C2×#350511yescharacteristic, complemented, Sylow
1234C23—22no—
1235C23—22no—
1236C23—22no—
1237C23—22no—
1238C23—24no—
1239C23—24no—
1240C23—28no—
1241C23—22no—
1242C23—22no—
1243C23—24no—
1244C23—22no—
1245C23—22no—
1246C23—44no—
1247C23—44no—
1248C23—416no—
1249C23—114no—
1250C23—114no—
1251C23—112no—
1252C23—112no—
1253C23—1116no—
1254C23—114no—
1255C23—2216no—
1256C23—222no—
1257C23—222no—
1258C23—222no—
1259C23—222no—
1260C23—224no—
1261C23—224no—
1262C23—224no—
1263C23—444no—
1264C23—444no—
1265C23—4416no—
1266C23—448no—
1267C23—448no—
1268C23—8816no—
1269C23#41×D1114yes—
1270C23C24×D1114yes—
1271C23C24×D1112yes—
1272C23C24×D1112yes—
1273C23C24×D1112yes—
1274C23C24×D1111yescharacteristic
1275Q8—28no—
1276Q8—228no—
1277Q8—448no—
1278D4—216no—
1279D4—28no—
1280D4—48no—
1281D4—48no—
1282D4—2216no—
1283D4—2216no—
1284D4—228no—
1285D4—228no—
1286D4—228no—
1287D4—228no—
1288D4—2216no—
1289D4—228no—
1290D4—448no—
1291D4—448no—
1292D4—448no—
1293C2×C4—22no—
1294C2×C4—22no—
1295C2×C4—22no—
1296C2×C4—24no—
1297C2×C4—24no—
1298C2×C4—24no—
1299C2×C4—28no—
1300C2×C4—28no—
1301C2×C4—28no—
1302C2×C4—44no—
1303C2×C4—44no—
1304C2×C4—44no—
1305C2×C4—48no—
1306C2×C4—112no—
1307C2×C4—112no—
1308C2×C4—112no—
1309C2×C4—112no—
1310C2×C4—114no—
1311C2×C4—114no—
1312C2×C4—114no—
1313C2×C4—112no—
1314C2×C4—112no—
1315C2×C4—2216no—
1316C2×C4—222no—
1317C2×C4—222no—
1318C2×C4—224no—
1319C2×C4—228no—
1320C2×C4—224no—
1321C2×C4—222no—
1322C2×C4—222no—
1323C2×C4—222no—
1324C2×C4—222no—
1325C2×C4—224no—
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—444no—
1336C2×C4—448no—
1337C2×C4#6703714yes—
1338C2×C4C24×D1112yes—
1339C2×C4C24×D1112yes—
1340C2×C4C24×D1114yes—
1341C2×C4C24×D1114yes—
1342C2×C4C24×D1112yes—
1343C2×C4C24×D1114yes—
1344C2×C4C24×D1112yes—
1345C22—22no—
1346C22—22no—
1347C22—28no—
1348C22—24no—
1349C22—22no—
1350C22—22no—
1351C22—22no—
1352C22—22no—
1353C22—24no—
1354C22—24no—
1355C22—22no—
1356C22—22no—
1357C22—416no—
1358C22—44no—
1359C22—44no—
1360C22—48no—
1361C22—114no—
1362C22—114no—
1363C22—222no—
1364C22—222no—
1365C22—222no—
1366C22—222no—
1367C22—228no—
1368C22—228no—
1369C22—224no—
1370C22—224no—
1371C22—224no—
1372C22—4416no—
1373C22—448no—
1374C22—8816no—
1375C22C2×#6703712yes—
1376C22C2×#41×D1114yes—
1377C22C2×#41×D1112yes—
1378C22#1062345312yes—
1379C22C25×D1111yescharacteristic
1380C4—24no—
1381C4—22no—
1382C4—22no—
1383C4—22no—
1384C4—24no—
1385C4—24no—
1386C4—224no—
1387C4—222no—
1388C4—222no—
1389C4—222no—
1390C4—222no—
1391C4—224no—
1392C4—222no—
1393C4—222no—
1394C4—224no—
1395C4C2×#6703714yes—
1396C2—24no—
1397C2—42no—
1398C2—42no—
1399C2—44no—
1400C2—224no—
1401C2—224no—
1402C2—444no—
1403C2#1308244414yesdirect product factor
1404C2C22×#41×D1111yescharacteristic
1405C2C22×#6703711yescharacteristic
1406C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#525C2
socleC23×C11C25
hypercenterC2×#525D11
hypocenterC11C2×#3505
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #13082444C2direct (N × H)
2. C2×#10623089C2semidirect
3. C2×#10623145C2semidirect
4. C2×#10623192C2semidirect
5. C2×#10623061C2semidirect
6. C2×#10623060C2semidirect
7. C2×#10623170C2semidirect
8. C2×#10623087C2semidirect
9. C2×#10623190C2semidirect
10. C2×#10623164C2semidirect
11. C2×#10623362C2semidirect
12. C2×#10623143C2semidirect
13. C2×#10623360C2semidirect
14. C2×#10623095C2semidirect
15. C2×#10623124C2semidirect
16. C2×#10623120C2semidirect
17. C2×#10623155C2semidirect
18. C2×#10623131C2semidirect
19. C2×#10623322C2semidirect
20. C2×D11×C22⋊Q8C2semidirect
21. C2×D11×#121C2semidirect
22. C2×#10623076C2semidirect
23. C22×C4×C22⋊D11C2semidirect
24. C2×C11×#525C2semidirect
25. C22×C11×#41C22semidirect
26. C24×C4×C11C22semidirect
28. C22×Q8×D11C22semidirect
30. C22×D4×D11C22semidirect
31. C22×#4339C22semidirect
33. C11×#525C22semidirect
34. C2×C11×#123C22semidirect
35. C2×C11×C22⋊Q8C22semidirect
36. C2×C11×C22⋊Q8C22semidirect
38. C2×C11×#121C22semidirect
39. C2×C11×#120C22semidirect
40. C2×C4×D4×C11C22semidirect
41. C2×C4×D4×C11C22semidirect
42. C2×C11×#117C22semidirect
43. C2×#67006C22semidirect
44. C22×C22⋊Dic11C22semidirect
45. #10623362C22semidirect
46. #10623360C22semidirect
47. C2×#67000C22semidirect
48. C2×#66999C22semidirect
49. C2×Q8×Dic11C22semidirect
51. C2×#66992C22semidirect
52. C2×#66991C22semidirect
53. C2×#66991C22semidirect
54. C2×#66991C22semidirect
55. C2×#66991C22semidirect
58. C2×#66989C22semidirect
59. C2×#66989C22semidirect
60. C2×#66988C22semidirect
61. C2×#66988C22semidirect
62. C2×D4×Dic11C22semidirect
63. C2×D4×Dic11C22semidirect
64. #10623322C22semidirect
66. C2×#66983C22semidirect
67. C2×#66982C22semidirect
68. C2×#66982C22semidirect
73. C2×C4×C22⋊D11C22semidirect
74. C2×C4×C22⋊D11C22semidirect
75. C2×C4×C22⋊D11C22semidirect
76. C2×C4×C22⋊D11C22semidirect
77. C2×C4×C22⋊D11C22semidirect
78. C2×C4×C22⋊D11C22semidirect
79. C2×C4×C22⋊D11C22semidirect
80. C2×C4×C22⋊D11C22semidirect
82. C22×(C2×D11)⋊C4C22semidirect
83. C2×#66979C22semidirect
84. C2×#66977C22semidirect
85. C2×#66977C22semidirect
86. C2×#66977C22semidirect
87. C22×Dic11⋊C4C22semidirect
88. C22×C4×Dic11C22semidirect
89. #10623192C22semidirect
90. #10623190C22semidirect
91. #10623170C22semidirect
92. #10623164C22semidirect
93. D11×C22⋊Q8C22semidirect
94. #10623155C22semidirect
95. #10623145C22semidirect
96. #10623143C22semidirect
97. D11×#121C22semidirect
98. #10623131C22semidirect
99. #10623124C22semidirect
100. #10623120C22semidirect
101. #10623095C22semidirect
102. #10623089C22semidirect
103. #10623087C22semidirect
104. #10623076C22semidirect
105. #10623061C22semidirect
106. #10623060C22semidirect
107. C2×#66951C22semidirect
108. C2×#66950C22semidirect
109. C2×#66949C22semidirect
110. C2×#66949C22semidirect
111. C2×#66948C22semidirect
112. C2×#66946C22semidirect
113. C2×#66946C22semidirect
114. C2×#66945C22semidirect
115. C2×#66945C22semidirect
116. C2×C4⋊C4×D11C22semidirect
117. C2×C4⋊C4×D11C22semidirect
118. C2×C4⋊C4×D11C22semidirect
119. C2×#66943C22semidirect
120. C2×#66943C22semidirect
121. C2×#66942C22semidirect
122. C2×#66940C22semidirect
123. C2×#66939C22semidirect
124. C2×#66938C22semidirect
125. C2×#66937C22semidirect
126. C2×#66937C22semidirect
127. C2×#66937C22semidirect
130. C2×#66936C22semidirect
131. C2×#66936C22semidirect
132. C2×(C22⋊D11)⋊C4C22semidirect
133. C2×(C22⋊D11)⋊C4C22semidirect
135. C2×C22⋊C4×D11C22semidirect
136. C2×C22⋊C4×D11C22semidirect
137. C2×#66932C22semidirect
138. C2×#66932C22semidirect
139. C2×#66932C22semidirect
140. C2×#66932C22semidirect
141. C2×#66931C22semidirect
142. C2×#66930C22semidirect
143. C2×#66929C22semidirect
144. C2×C4×D44C22semidirect
145. C2×#66925C22semidirect
146. C2×#66923C22semidirect
151. C2×C11×#41C23semidirect
165. C23×C4×C11C23semidirect
182. C2×Q8×D11C23semidirect
186. C2×D4×D11C23semidirect
188. C2×#4339C23semidirect
204. C11×#123C23semidirect
205. C11×C22⋊Q8C23semidirect
206. C11×C22⋊Q8C23semidirect
208. C11×#121C23semidirect
209. C11×#120C23semidirect
210. C4×D4×C11C23semidirect
211. C4×D4×C11C23semidirect
212. C11×#117C23semidirect
223. #67006C23semidirect
235. C2×C22⋊Dic11C23semidirect
236. #67000C23semidirect
237. #66999C23semidirect
238. Q8×Dic11C23semidirect
240. #66992C23semidirect
241. #66991C23semidirect
242. #66991C23semidirect
243. #66991C23semidirect
244. #66991C23semidirect
247. #66989C23semidirect
248. #66989C23semidirect
249. #66988C23semidirect
250. #66988C23semidirect
251. D4×Dic11C23semidirect
252. D4×Dic11C23semidirect
254. #66983C23semidirect
255. #66982C23semidirect
256. #66982C23semidirect
261. C4×C22⋊D11C23semidirect
262. C4×C22⋊D11C23semidirect
263. C4×C22⋊D11C23semidirect
264. C4×C22⋊D11C23semidirect
265. C4×C22⋊D11C23semidirect
266. C4×C22⋊D11C23semidirect
267. C4×C22⋊D11C23semidirect
281. C2×(C2×D11)⋊C4C23semidirect
282. #66979C23semidirect
289. #66977C23semidirect
290. #66977C23semidirect
291. #66977C23semidirect
304. C2×Dic11⋊C4C23semidirect
312. C2×C4×Dic11C23semidirect
313. #66951C23semidirect
314. #66950C23semidirect
315. #66949C23semidirect
316. #66949C23semidirect
317. #66948C23semidirect
318. #66946C23semidirect
319. #66946C23semidirect
320. #66945C23semidirect
321. #66945C23semidirect
322. C4⋊C4×D11C23semidirect
323. C4⋊C4×D11C23semidirect
324. C4⋊C4×D11C23semidirect
325. #66943C23semidirect
326. #66943C23semidirect
327. #66942C23semidirect
328. #66940C23semidirect
329. #66939C23semidirect
330. #66938C23semidirect
331. #66937C23semidirect
332. #66937C23semidirect
333. #66937C23semidirect
336. #66936C23semidirect
337. #66936C23semidirect
338. (C22⋊D11)⋊C4C23semidirect
339. (C22⋊D11)⋊C4C23semidirect
341. C22⋊C4×D11C23semidirect
342. C22⋊C4×D11C23semidirect
343. #66932C23semidirect
344. #66932C23semidirect
345. #66932C23semidirect
346. #66932C23semidirect
347. #66931C23semidirect
348. #66930C23semidirect
349. #66929C23semidirect
350. C4×D44C23semidirect
351. #66925C23semidirect
352. #66923C23semidirect
367. C23×D11#41semidirect
550. C2×#525D11semidirect
592. C22×D11C2×#41semidirect
667. C22×#41C2×D11semidirect
673. C24×C4C2×D11semidirect
706. #525C2×D11semidirect
716. C2×#123C2×D11semidirect
726. C2×C22⋊Q8C2×D11semidirect
727. C2×C22⋊Q8C2×D11semidirect
742. C2×#121C2×D11semidirect
746. C2×#120C2×D11semidirect
769. C2×C4×D4C2×D11semidirect
770. C2×C4×D4C2×D11semidirect
776. C2×#117C2×D11semidirect
845. C2×#41C22×D11semidirect
895. C23×C4C22×D11semidirect
919. #123C22×D11semidirect
928. C22⋊Q8C22×D11semidirect
929. C22⋊Q8C22×D11semidirect
943. #121C22×D11semidirect
947. #120C22×D11semidirect
968. C4×D4C22×D11semidirect
969. C4×D4C22×D11semidirect
975. #117C22×D11semidirect
1049. C2×C11#3505semidirect
1233. C11C2×#3505semidirect
1403. C2#13082444direct (N × H)

Maximal subgroups

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

subgroupindex
#130824442
C2×#106230892
C2×#106231452
C2×#106231922
C2×#106230612
C2×#106230602
C2×#106231702
C2×#106230872
C2×#106231902
C2×#106231642
C2×#106233622
C2×#106231432
C2×#106233602
C2×#106230952
C2×#106231242
C2×#106231202
C2×#106231552
C2×#106231312
C2×#106233222
C2×D11×C22⋊Q82
C2×D11×#1212
C2×#106230762
C22×C4×C22⋊D112
C2×C11×#5252
C2×#350511