Finite Group Databasebeta

← C2×#13082456 #15661702

Subgroups — C2×#13082456 #15661702

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#13082456C2132yesmaximal, direct product factor
2C2×#10623226C212yesmaximal, complemented
3C2×#10623226C211yesmaximal, characteristic, complemented
4C2×#10623240C212yesmaximal, complemented
5C2×#10623061C211yesmaximal, characteristic, complemented
6C2×#10623044C211yesmaximal, characteristic, complemented
7C2×#10623058C212yesmaximal, complemented
8C2×#10623189C212yesmaximal, complemented
9C2×#10623107C211yesmaximal, characteristic, complemented
10C2×#10623164C211yesmaximal, characteristic, complemented
11C2×#10623081C211yesmaximal, characteristic, complemented
12C2×#10623161C211yesmaximal, characteristic, complemented
13C2×#10623223C212yesmaximal, complemented
14C2×#10623235C212yesmaximal, complemented
15C2×#10623184C212yesmaximal, complemented
16C2×#10623111C211yesmaximal, characteristic, complemented
17C2×#10623222C211yesmaximal, characteristic, complemented
18C2×#10623158C211yesmaximal, characteristic, complemented
19C2×#10623055C211yesmaximal, characteristic, complemented
20C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
21C22×#66948C211yesmaximal, characteristic, complemented
22C2×#10623052C212yesmaximal, complemented
23C2×C4×D4×D11C211yesmaximal, characteristic, complemented
24C2×C11×#552C211yesmaximal, characteristic, complemented
25C22×#4343C2211yescharacteristic, complemented
26C22×Q8×D11C2211yescharacteristic, complemented
27C22×D4×D11C2211yescharacteristic
28C22×#4339C2211yescharacteristic, complemented
29C23×D44C2212yes—
30C23×D44C2211yescharacteristic, complemented
31C23×C4×D11C2211yescharacteristic
32C23×C4×D11C2211yescharacteristic, complemented
33C11×#552C22116yescomplemented
34C2×C11×#126C2212yescomplemented
35C2×C11×#125C2211yescharacteristic, complemented
36C2×C11×#125C2212yescomplemented
37C2×C11×#123C2212yes—
38C2×C11×C22⋊Q8C2211yescharacteristic, complemented
39C2×C11×C22⋊Q8C2211yescharacteristic, complemented
40C2×C4×Q8×C11C2211yescharacteristic, complemented
41C2×C4×D4×C11C2211yescharacteristic
42C2×C11×#117C2211yescharacteristic, complemented
43C2×C11×#117C2212yescomplemented
44C22×C11×C4⋊C4C2211yescharacteristic, complemented
45C2×#67000C2211yescharacteristic, complemented
46C2×#66999C2211yescharacteristic, complemented
47C2×#66990C2212yes—
48C2×D4×Dic11C2211yescharacteristic
49C2×#66983C2211yescharacteristic, complemented
50C2×#66982C2212yes—
51C2×C4×C22⋊D11C2211yescharacteristic
52C2×C4×C22⋊D11C2211yescharacteristic, complemented
53C22×(C2×D11)⋊C4C2212yescomplemented
54C2×#66979C2212yescomplemented
55C2×#66977C2211yescharacteristic, complemented
56#10623240C22132yescomplemented
57#10623235C22132yescomplemented
58#10623226C22132yescomplemented
59#10623226C22116yescomplemented
60#10623223C22132yescomplemented
61#10623222C22116yescomplemented
62#10623189C22132yescomplemented
63#10623184C22132yescomplemented
64#10623164C22116yescomplemented
65#10623161C22116yescomplemented
66#10623158C22116yescomplemented
67D11×C22⋊Q8C22116yescomplemented
68#10623111C22116yescomplemented
69#10623107C22116yescomplemented
70#10623081C22116yescomplemented
71C4×D4×D11C22116yescomplemented
72#10623061C22116yescomplemented
73#10623058C22132yescomplemented
74#10623055C22116yescomplemented
75#10623052C22132yescomplemented
76#10623044C22116yescomplemented
77C2×#66951C2212yescomplemented
78C2×#66951C2212yescomplemented
79C2×#66951C2212yescomplemented
80C2×#66951C2212yescomplemented
81C2×#66950C2211yescharacteristic, complemented
82C2×#66950C2211yescharacteristic, complemented
83C2×#66950C2212yescomplemented
84C2×#66949C2212yescomplemented
85C2×#66949C2212yescomplemented
86C2×#66948C2211yescharacteristic
87C2×#66948C2211yescharacteristic
88C2×#66948C2212yes—
89C2×#66948C22116yescomplemented
90C2×#66948C2211yescharacteristic, complemented
91C2×#66948C2211yescharacteristic, complemented
92C2×#66948C2212yescomplemented
93C2×#66948C2212yescomplemented
94C2×#66948C2212yescomplemented
95C2×#66948C2212yescomplemented
96C2×#66948C2211yescharacteristic, complemented
97C2×#66947C2212yescomplemented
98C2×#66947C2212yescomplemented
99C2×#66947C2212yescomplemented
100C2×#66947C2212yescomplemented
101C2×#66947C2212yescomplemented
102C2×#66947C2212yescomplemented
103C2×#66946C2212yescomplemented
104C2×#66946C2211yescharacteristic, complemented
105C2×#66946C2212yescomplemented
106C2×#66946C2212yescomplemented
107C2×#66946C2211yescharacteristic, complemented
108C2×#66946C2212yescomplemented
109C2×#66945C2211yescharacteristic, complemented
110C2×#66945C2212yescomplemented
111C2×C4⋊C4×D11C2211yescharacteristic, complemented
112C2×C4⋊C4×D11C2212yescomplemented
113C2×C4⋊C4×D11C2211yescharacteristic, complemented
114C2×#66943C2211yescharacteristic, complemented
115C2×#66942C2212yescomplemented
116C2×#66940C2211yescharacteristic, complemented
117C2×#66939C2212yescomplemented
118C2×#66938C2212yescomplemented
119C2×#66937C2212yescomplemented
120C2×#66937C2212yescomplemented
121C2×#66937C2212yescomplemented
122C2×#66936C2212yescomplemented
123C2×#66935C2212yes—
124C2×#66935C2212yescomplemented
125C2×#66935C2212yescomplemented
126C2×(C22⋊D11)⋊C4C2211yescharacteristic
127C2×(C22⋊D11)⋊C4C2212yescomplemented
128C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
129C2×C22⋊C4×D11C2212yes—
130C2×C22⋊C4×D11C2211yescharacteristic
131C2×C22⋊C4×D11C2211yescharacteristic, complemented
132C2×C22⋊C4×D11C2212yescomplemented
133C2×C22⋊C4×D11C2212yescomplemented
134C2×#66931C2212yescomplemented
135C2×#66929C2212yescomplemented
136C2×#66928C2211yescharacteristic, complemented
137C2×#66928C2212yescomplemented
138C2×C4×D44C2212yescomplemented
139C2×C4×D44C2212yescomplemented
140C2×C4×D44C2212yescomplemented
141C2×C4×D44C2212yescomplemented
142C2×C4×D44C2211yescharacteristic, complemented
143C2×C4×D44C2212yescomplemented
144C2×C4×D44C2211yescharacteristic, complemented
145C2×#66925C2212yescomplemented
146C2×C42×D11C2211yescharacteristic, complemented
147C24×D11C2312yes—
148C24×D11C2311yescharacteristic
149C24×D11C2311yescharacteristic
150C22×Q8×C11C2311yescharacteristic
151C22×D4×C11C2311yescharacteristic
152C23×C4×C11C2311yescharacteristic
153C23×C4×C11C2312yes—
154C23×C4×C11C2311yescharacteristic
155C22×C22⋊D11C2311yescharacteristic
156C22×C22⋊D11C2311yescharacteristic
157C22×C22⋊D11C2312yes—
158C22×C22⋊D11C2312yes—
159C23×Dic11C2311yescharacteristic
160C23×Dic11C2311yescharacteristic
161C2×#4343—44no—
162C2×#4343C2318yescomplemented
163C2×Q8×D11—44no—
164C2×Q8×D11C2318yescomplemented
165C2×D4×D11—28no—
166C2×D4×D11C2318yes—
167C2×#4339—44no—
168C2×#4339C2318yescomplemented
169C22×D44—216no—
170C22×D44—44no—
171C22×D44C2312yes—
172C22×D44C2312yes—
173C22×D44C2311yescharacteristic
174C22×D44C2311yescharacteristic
175C22×D44C2311yescharacteristic
176C22×D44C2312yes—
177C22×D44C2312yes—
178C22×D44C23116yes—
179C22×D44C2312yes—
180C22×D44C2312yes—
181C22×D44C2312yes—
182C22×D44C2318yescomplemented
183C22×C4×D11—44no—
184C22×C4×D11—44no—
185C22×C4×D11C2311yescharacteristic
186C22×C4×D11C2311yescharacteristic
187C22×C4×D11C2311yescharacteristic
188C22×C4×D11C2311yescharacteristic
189C22×C4×D11C2311yescharacteristic
190C22×C4×D11C2312yes—
191C22×C4×D11C2311yescharacteristic
192C22×C4×D11C2312yes—
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2312yes—
195C22×C4×D11C2312yes—
196C22×C4×D11C2312yes—
197C22×C4×D11C2312yes—
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2318yes—
201C22×C4×D11C2318yescomplemented
202C22×Dic22C2311yescharacteristic
203C22×Dic22C2312yes—
204C11×#126C23116yescomplemented
205C11×#125C2318yescomplemented
206C11×#125C23116yescomplemented
207C11×#123C23116yes—
208C11×C22⋊Q8C2318yescomplemented
209C11×C22⋊Q8C2318yescomplemented
210C4×Q8×C11C2318yescomplemented
211C4×D4×C11C2318yes—
212C11×#117C23116yescomplemented
213C11×#117C2318yescomplemented
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2312yes—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2312yes—
220C2×C11×C4⋊C4C2312yes—
221C2×C11×C4⋊C4C2312yes—
222C2×C11×C4⋊C4C2312yes—
223C2×C11×C4⋊C4C2312yes—
224C2×C11×C4⋊C4C2318yescomplemented
225C2×C11×C22⋊C4C2312yes—
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2312yes—
229C2×C11×C22⋊C4C2312yes—
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2312yes—
232C2×C42×C11C2312yes—
233C2×C22⋊Dic11C2312yes—
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236#67000C2318yescomplemented
237#66999C2318yescomplemented
238#66990C23116yes—
239D4×Dic11C2318yes—
240#66983C2318yescomplemented
241#66982C23116yes—
242C4×C22⋊D11C2318yes—
243C4×C22⋊D11C2318yescomplemented
244C2×(C2×D11)⋊C4C2312yes—
245C2×(C2×D11)⋊C4C2312yes—
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2312yes—
250C2×(C2×D11)⋊C4C2312yes—
251C2×(C2×D11)⋊C4C2312yes—
252C2×(C2×D11)⋊C4C2312yes—
253C2×(C2×D11)⋊C4C2312yes—
254C2×(C2×D11)⋊C4C2312yes—
255C2×(C2×D11)⋊C4C2312yes—
256C2×(C2×D11)⋊C4C2312yes—
257C2×(C2×D11)⋊C4C2312yes—
258C2×(C2×D11)⋊C4C2312yes—
259C2×(C2×D11)⋊C4C2312yes—
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2312yes—
262C2×(C2×D11)⋊C4C2312yes—
263C2×(C2×D11)⋊C4C2312yes—
264C2×(C2×D11)⋊C4C23116yescomplemented
265#66979C23116yescomplemented
266C2×C4⋊Dic11C2312yes—
267C2×C4⋊Dic11C2312yes—
268C2×C4⋊Dic11C2312yes—
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271#66977C2318yescomplemented
272C2×Dic11⋊C4C2312yes—
273C2×Dic11⋊C4C2312yes—
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2312yes—
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2312yes—
278C2×Dic11⋊C4C2312yes—
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2312yes—
283C2×C4×Dic11C2312yes—
284#66951C23116yescomplemented
285#66951C23116yescomplemented
286#66951C23116yescomplemented
287#66951C23116yescomplemented
288#66950C2318yescomplemented
289#66950C2318yescomplemented
290#66950C23116yescomplemented
291#66949C23116yescomplemented
292#66949C23116yescomplemented
293#66948C23116yes—
294#66948C2318yes—
295#66948C2318yes—
296#66948C23116yescomplemented
297#66948C23116yescomplemented
298#66948C2318yescomplemented
299#66948C2318yescomplemented
300#66948C2318yescomplemented
301#66948C23116yescomplemented
302#66948C23116yescomplemented
303#66947C23116yescomplemented
304#66947C23116yescomplemented
305#66947C23116yescomplemented
306#66947C23116yescomplemented
307#66947C23116yescomplemented
308#66947C23116yescomplemented
309#66946C23116yescomplemented
310#66946C23116yescomplemented
311#66946C23116yescomplemented
312#66946C23116yescomplemented
313#66946C2318yescomplemented
314#66946C2318yescomplemented
315#66945C2318yescomplemented
316#66945C23116yescomplemented
317C4⋊C4×D11C23116yescomplemented
318C4⋊C4×D11C2318yescomplemented
319C4⋊C4×D11C2318yescomplemented
320#66943C2318yescomplemented
321#66942C23116yescomplemented
322#66940C2318yescomplemented
323#66939C23116yescomplemented
324#66938C23116yescomplemented
325#66937C23116yescomplemented
326#66937C23116yescomplemented
327#66937C23116yescomplemented
328#66936C23116yescomplemented
329#66935C23116yes—
330#66935C23116yescomplemented
331#66935C23116yescomplemented
332(C22⋊D11)⋊C4C2318yes—
333(C22⋊D11)⋊C4C2318yescomplemented
334(C22⋊D11)⋊C4C23116yescomplemented
335C22⋊C4×D11C2318yes—
336C22⋊C4×D11C23116yes—
337C22⋊C4×D11C2318yescomplemented
338C22⋊C4×D11C23116yescomplemented
339C22⋊C4×D11C23116yescomplemented
340#66931C23116yescomplemented
341#66929C23116yescomplemented
342#66928C23116yescomplemented
343#66928C2318yescomplemented
344C4×D44C23116yescomplemented
345C4×D44C23116yescomplemented
346C4×D44C23116yescomplemented
347C4×D44C23116yescomplemented
348C4×D44C23116yescomplemented
349C4×D44C2318yescomplemented
350C4×D44C2318yescomplemented
351#66925C23116yescomplemented
352C42×D11C2318yescomplemented
353C2×#3505—111nomaximal, Sylow
354C24×C11C2411yescharacteristic
355C24×C11C2411yescharacteristic
356C23×D11—28no—
357C23×D11—24no—
358C23×D11—42no—
359C23×D11—42no—
360C23×D11—42no—
361C23×D11—42no—
362C23×D11—44no—
363C23×D11—44no—
364C23×D11#4118yescomplemented
365C23×D11C2412yes—
366C23×D11C2412yes—
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C23×D11C2411yescharacteristic
370C23×D11C2418yes—
371C23×D11C2414yes—
372C23×D11C2414yes—
373C2×Q8×C11—24no—
374C2×Q8×C11C2414yes—
375C2×D4×C11—24no—
376C2×D4×C11C2414yes—
377C22×C4×C11—28no—
378C22×C4×C11—24no—
379C22×C4×C11—24no—
380C22×C4×C11C2412yes—
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2412yes—
385C22×C4×C11C2412yes—
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2412yes—
388C22×C4×C11C2414yes—
389C22×C4×C11C2418yes—
390C22×C4×C11C2414yes—
391C22×C4×C11C2411yescharacteristic
392C2×C22⋊D11—24no—
393C2×C22⋊D11—24no—
394C2×C22⋊D11—44no—
395C2×C22⋊D11—44no—
396C2×C22⋊D11C2414yes—
397C2×C22⋊D11C2414yes—
398C2×C22⋊D11C2418yes—
399C2×C22⋊D11C2418yes—
400C22×Dic11—42no—
401C22×Dic11—42no—
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2412yes—
407C22×Dic11C2412yes—
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2414yes—
410C22×Dic11C2414yes—
411#4343—416no—
412Q8×D11—416no—
413D4×D11—232no—
414#4339—416no—
415C2×D44—28no—
416C2×D44—28no—
417C2×D44—28no—
418C2×D44—28no—
419C2×D44—24no—
420C2×D44—264no—
421C2×D44—24no—
422C2×D44—24no—
423C2×D44—44no—
424C2×D44—44no—
425C2×D44—44no—
426C2×D44—416no—
427C2×D44C2418yes—
428C2×D44C2418yes—
429C2×D44C2414yes—
430C2×D44C2414yes—
431C2×D44C2414yes—
432C2×D44C2418yes—
433C2×D44C2418yes—
434C2×D44C2418yes—
435C2×D44C2418yes—
436C2×D44C2418yes—
437C2×C4×D11—24no—
438C2×C4×D11—24no—
439C2×C4×D11—24no—
440C2×C4×D11—24no—
441C2×C4×D11—42no—
442C2×C4×D11—42no—
443C2×C4×D11—42no—
444C2×C4×D11—42no—
445C2×C4×D11—42no—
446C2×C4×D11—44no—
447C2×C4×D11—44no—
448C2×C4×D11—44no—
449C2×C4×D11—44no—
450C2×C4×D11—44no—
451C2×C4×D11—44no—
452C2×C4×D11—416no—
453C2×C4×D11—416no—
454C2×C4×D11C2414yes—
455C2×C4×D11C2414yes—
456C2×C4×D11C2414yes—
457C2×C4×D11C2414yes—
458C2×C4×D11C2414yes—
459C2×C4×D11C2418yes—
460C2×C4×D11C2414yes—
461C2×C4×D11C2418yes—
462C2×C4×D11C2414yes—
463C2×C4×D11C2418yes—
464C2×C4×D11C2418yes—
465C2×C4×D11C2418yes—
466C2×C4×D11C2418yes—
467C2×C4×D11C2414yes—
468C2×C4×D11C2414yes—
469C2×Dic22—24no—
470C2×Dic22—44no—
471C2×Dic22C2414yes—
472C2×Dic22C2418yes—
473C11×C4⋊C4C2414yes—
474C11×C4⋊C4C2418yes—
475C11×C4⋊C4C2414yes—
476C11×C4⋊C4C2414yes—
477C11×C4⋊C4C2414yes—
478C11×C4⋊C4C2418yes—
479C11×C4⋊C4C2418yes—
480C11×C4⋊C4C2418yes—
481C11×C4⋊C4C2418yes—
482C11×C4⋊C4C2418yes—
483C11×C22⋊C4C2418yes—
484C11×C22⋊C4C2414yes—
485C11×C22⋊C4C2414yes—
486C11×C22⋊C4C2418yes—
487C11×C22⋊C4C2418yes—
488C42×C11C2414yes—
489C42×C11C2418yes—
490C42×C11C2418yes—
491C22⋊Dic11C2418yes—
492C22⋊Dic11C2414yes—
493C22⋊Dic11C2414yes—
494(C2×D11)⋊C4C2418yes—
495(C2×D11)⋊C4C2418yes—
496(C2×D11)⋊C4C2414yes—
497(C2×D11)⋊C4C2414yes—
498(C2×D11)⋊C4C2414yes—
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)⋊C4C2418yes—
508(C2×D11)⋊C4C2418yes—
509(C2×D11)⋊C4C2418yes—
510(C2×D11)⋊C4C2414yes—
511(C2×D11)⋊C4C2418yes—
512(C2×D11)⋊C4C2418yes—
513(C2×D11)⋊C4C2418yes—
514C4⋊Dic11C2418yes—
515C4⋊Dic11C2418yes—
516C4⋊Dic11C2418yes—
517C4⋊Dic11C2414yes—
518C4⋊Dic11C2414yes—
519Dic11⋊C4C2418yes—
520Dic11⋊C4C2418yes—
521Dic11⋊C4C2414yes—
522Dic11⋊C4C2418yes—
523Dic11⋊C4C2414yes—
524Dic11⋊C4C2418yes—
525Dic11⋊C4C2418yes—
526C4×Dic11C2414yes—
527C4×Dic11C2414yes—
528C4×Dic11C2414yes—
529C4×Dic11C2418yes—
530C4×Dic11C2418yes—
531#3505—1132no—
532C2×#553—112no—
533C2×#553—111no—
534C2×#553—112no—
535C2×#553—111no—
536C2×#552—111no—
537C2×#552D1111yescharacteristic, complemented
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×#525—111no—
551C22×C22⋊Q8—111no—
552C22×#121—111no—
553C2×#518—112no—
554C22×C4×D4—111no—
555C23×C11—22no—
556C23×C11—22no—
557C23×C11—22no—
558C23×C11—22no—
559C23×C11—22no—
560C23×C11C2×#4114yes—
561C23×C11C2512yes—
562C23×C11C2512yes—
563C23×C11C2511yescharacteristic
564C22×D11—22no—
565C22×D11—22no—
566C22×D11—22no—
567C22×D11—22no—
568C22×D11—24no—
569C22×D11—24no—
570C22×D11—22no—
571C22×D11—22no—
572C22×D11—24no—
573C22×D11—24no—
574C22×D11—24no—
575C22×D11—24no—
576C22×D11—22no—
577C22×D11—216no—
578C22×D11—28no—
579C22×D11—44no—
580C22×D11—44no—
581C22×D11—416no—
582C22×D11—44no—
583C22×D11—44no—
584C22×D11—48no—
585C22×D11—48no—
586C22×D11—416no—
587C22×D11—816no—
588C22×D11C2×#4114yes—
589C22×D11C2×#4114yes—
590C22×D11C2×#41116yescomplemented
591C22×D11C2514yes—
592C22×D11C2514yes—
593C22×D11C2512yes—
594C22×D11C2512yes—
595C22×D11C2512yes—
596Q8×C11—28no—
597D4×C11—28no—
598C2×C4×C11—22no—
599C2×C4×C11—216no—
600C2×C4×C11—24no—
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×C11H(5,𝔽2)14yes—
610C2×C4×C11C2514yes—
611C2×C4×C11C2512yes—
612C2×C4×C11C2512yes—
613C2×C4×C11C2512yes—
614C2×C4×C11C2514yes—
615C2×C4×C11C2514yes—
616C2×C4×C11C2512yes—
617C2×C4×C11C2514yes—
618C2×C4×C11C2512yes—
619C22⋊D11—28no—
620C22⋊D11—28no—
621C22⋊D11—48no—
622C22⋊D11—48no—
623C2×Dic11—22no—
624C2×Dic11—24no—
625C2×Dic11—22no—
626C2×Dic11—22no—
627C2×Dic11—22no—
628C2×Dic11—22no—
629C2×Dic11—24no—
630C2×Dic11—44no—
631C2×Dic11—44no—
632C2×Dic11C2512yes—
633C2×Dic11C2512yes—
634C2×Dic11C2512yes—
635C2×Dic11C2512yes—
636C2×Dic11C2514yes—
637C2×Dic11C2514yes—
638C2×Dic11C2512yes—
639D44—216no—
640D44—216no—
641D44—216no—
642D44—216no—
643D44—28no—
644D44—28no—
645D44—28no—
646D44—48no—
647D44—48no—
648D44—48no—
649C4×D11—28no—
650C4×D11—28no—
651C4×D11—28no—
652C4×D11—28no—
653C4×D11—44no—
654C4×D11—44no—
655C4×D11—44no—
656C4×D11—44no—
657C4×D11—44no—
658C4×D11—48no—
659C4×D11—48no—
660C4×D11—48no—
661C4×D11—48no—
662C4×D11—48no—
663C4×D11—48no—
664Dic22—28no—
665Dic22—48no—
666C22×#41—111no—
667C22×#41—111no—
668C23×Q8—111no—
669C23×D4—111no—
670C23×D4—112no—
671C23×D4—111no—
672C24×C4—111no—
673C24×C4—111no—
674#553—1132no—
675#553—1116no—
676#553—1132no—
677#553—1116no—
678#552—1116no—
679#552C2×D11116yescomplemented
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×#126C2×D1112yescomplemented
697C2×#125—112no—
698C2×#125—111no—
699C2×#125C2×D1111yescharacteristic, complemented
700C2×#125C2×D1112yescomplemented
701C2×#124—111no—
702C2×#124—112no—
703C2×#124—111no—
704C2×#124—112no—
705#525—1116no—
706#525—1116no—
707C2×#123—112no—
708C2×#123—112no—
709C2×#123—112no—
710C2×#123—112no—
711C2×#123—112no—
712C2×#123—112no—
713C2×#123—112no—
714C2×#123—112no—
715C2×#123—112no—
716C2×#123C2×D1112yes—
717C2×C22⋊Q8—111no—
718C2×C22⋊Q8—111no—
719C2×C22⋊Q8—1116no—
720C2×C22⋊Q8—112no—
721C2×C22⋊Q8—112no—
722C2×C22⋊Q8—111no—
723C2×C22⋊Q8—111no—
724C2×C22⋊Q8—112no—
725C2×C22⋊Q8—112no—
726C2×C22⋊Q8C2×D1111yescharacteristic, complemented
727C2×C22⋊Q8C2×D1111yescharacteristic, complemented
728C2×#121—111no—
729C2×#121—111no—
730C2×#121—111no—
731C2×#121—112no—
732C2×#121—111no—
733C2×#121—111no—
734C2×#121—112no—
735C2×#121—111no—
736C2×#121—112no—
737C2×#121—112no—
738C2×#121—112no—
739C2×#121—1116no—
740C2×#121—112no—
741C2×#121—112no—
742C2×#121—112no—
743C2×#120—112no—
744C2×#120—112no—
745C2×#120—112no—
746C2×#120—112no—
747#518—1132no—
748C2×C4×Q8—111no—
749C2×C4×Q8C2×D1111yescharacteristic, complemented
750C2×C4×D4—111no—
751C2×C4×D4—111no—
752C2×C4×D4—111no—
753C2×C4×D4—1116no—
754C2×C4×D4—111no—
755C2×C4×D4—112no—
756C2×C4×D4—112no—
757C2×C4×D4—112no—
758C2×C4×D4—112no—
759C2×C4×D4—111no—
760C2×C4×D4—111no—
761C2×C4×D4—111no—
762C2×C4×D4—112no—
763C2×C4×D4—111no—
764C2×C4×D4—112no—
765C2×C4×D4—112no—
766C2×C4×D4—112no—
767C2×C4×D4—112no—
768C2×C4×D4—112no—
769C2×C4×D4—111no—
770C2×C4×D4C2×D1111yescharacteristic
771C2×#117—112no—
772C2×#117—111no—
773C2×#117—112no—
774C2×#117—112no—
775C2×#117C2×D1112yescomplemented
776C2×#117C2×D1111yescharacteristic, complemented
777C22×C4⋊C4—111no—
778C22×C4⋊C4—111no—
779C22×C4⋊C4—112no—
780C22×C4⋊C4C2×D1111yescharacteristic, complemented
781C22×C22⋊C4—112no—
782C22×C22⋊C4—111no—
783C22×C22⋊C4—112no—
784C22×C22⋊C4—111no—
785C22×C22⋊C4—112no—
786C22×C22⋊C4—112no—
787C22×C42—111no—
788C22×C11—22no—
789C22×C11—22no—
790C22×C11—28no—
791C22×C11—22no—
792C22×C11—22no—
793C22×C11—22no—
794C22×C11—44no—
795C22×C11C22×#4114yes—
796C22×C11C22×#4112yes—
797C22×C11C2×H(5,𝔽2)12yes—
798C22×C11#58512yes—
799C22×C11C2611yescharacteristic
800C2×D11—22no—
801C2×D11—22no—
802C2×D11—22no—
803C2×D11—22no—
804C2×D11—28no—
805C2×D11—28no—
806C2×D11—24no—
807C2×D11—24no—
808C2×D11—22no—
809C2×D11—22no—
810C2×D11—24no—
811C2×D11—24no—
812C2×D11—24no—
813C2×D11—24no—
814C2×D11—22no—
815C2×D11—416no—
816C2×D11—416no—
817C2×D11—44no—
818C2×D11—48no—
819C2×D11—48no—
820C2×D11—816no—
821C2×D11C22×#4114yes—
822C2×D11C22×#4114yes—
823C4×C11—24no—
824C4×C11—24no—
825C4×C11—22no—
826C4×C11—22no—
827C4×C11—22no—
828C4×C11—24no—
829C4×C11—22no—
830C4×C11—24no—
831C4×C11C2×H(5,𝔽2)14yes—
832Dic11—22no—
833Dic11—24no—
834Dic11—22no—
835Dic11—22no—
836Dic11—22no—
837Dic11—22no—
838Dic11—24no—
839C25—111no—
840C25—112no—
841C25—111no—
842C2×#41—118no—
843C2×#41—118no—
844C2×#41—444no—
845C2×#41—444no—
846C22×Q8—118no—
847C22×Q8—111no—
848C22×Q8—112no—
849C22×Q8—444no—
850C22×Q8C22×D1111yescharacteristic
851C22×D4—111no—
852C22×D4—111no—
853C22×D4—112no—
854C22×D4—112no—
855C22×D4—118no—
856C22×D4—112no—
857C22×D4—112no—
858C22×D4—112no—
859C22×D4—111no—
860C22×D4—112no—
861C22×D4—111no—
862C22×D4—111no—
863C22×D4—1116no—
864C22×D4—112no—
865C22×D4—112no—
866C22×D4—112no—
867C22×D4—118no—
868C22×D4—2216no—
869C22×D4—228no—
870C22×D4—444no—
871C22×D4C22×D1111yescharacteristic
872C23×C4—111no—
873C23×C4—111no—
874C23×C4—111no—
875C23×C4—111no—
876C23×C4—111no—
877C23×C4—111no—
878C23×C4—111no—
879C23×C4—112no—
880C23×C4—111no—
881C23×C4—112no—
882C23×C4—111no—
883C23×C4—112no—
884C23×C4—112no—
885C23×C4—112no—
886C23×C4—112no—
887C23×C4—111no—
888C23×C4—111no—
889C23×C4—118no—
890C23×C4—118no—
891C23×C4—444no—
892C23×C4—444no—
893C23×C4C22×D1112yes—
894C23×C4C22×D1111yescharacteristic
895C23×C4C22×D1111yescharacteristic
896#126—1116no—
897#126—1116no—
898#126—1116no—
899#126—1116no—
900#126—1116no—
901#126C22×D11116yescomplemented
902#125—118no—
903#125—1116no—
904#125C22×D1118yescomplemented
905#125C22×D11116yescomplemented
906#124—118no—
907#124—1116no—
908#124—118no—
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×D11116yes—
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—118no—
931#121—118no—
932#121—118no—
933#121—1116no—
934#121—118no—
935#121—118no—
936#121—1116no—
937#121—118no—
938#121—1116no—
939#121—1116no—
940#121—1116no—
941#121—1116no—
942#121—1116no—
943#121—1116no—
944#120—1116no—
945#120—1116no—
946#120—1116no—
947#120—1116no—
948C4×Q8—118no—
949C4×Q8C22×D1118yescomplemented
950C4×D4—118no—
951C4×D4—118no—
952C4×D4—118no—
953C4×D4—118no—
954C4×D4—1116no—
955C4×D4—1116no—
956C4×D4—1116no—
957C4×D4—1116no—
958C4×D4—118no—
959C4×D4—118no—
960C4×D4—118no—
961C4×D4—1116no—
962C4×D4—118no—
963C4×D4—1116no—
964C4×D4—1116no—
965C4×D4—1116no—
966C4×D4—1116no—
967C4×D4—1116no—
968C4×D4—118no—
969C4×D4C22×D1118yes—
970#117—1116no—
971#117—118no—
972#117—1116no—
973#117—1116no—
974#117C22×D11116yescomplemented
975#117C22×D1118yescomplemented
976C2×C4⋊C4—111no—
977C2×C4⋊C4—112no—
978C2×C4⋊C4—112no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
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—118no—
989C2×C4⋊C4—118no—
990C2×C4⋊C4—1116no—
991C2×C4⋊C4C22×D1111yescharacteristic
992C2×C4⋊C4C22×D1111yescharacteristic
993C2×C4⋊C4C22×D1112yes—
994C2×C4⋊C4C22×D1111yescharacteristic
995C2×C4⋊C4C22×D1111yescharacteristic
996C2×C4⋊C4C22×D1112yes—
997C2×C4⋊C4C22×D1112yes—
998C2×C4⋊C4C22×D1112yes—
999C2×C4⋊C4C22×D1112yes—
1000C2×C4⋊C4C22×D1112yes—
1001C2×C4⋊C4C22×D1118yescomplemented
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—112no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—112no—
1006C2×C22⋊C4—112no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—112no—
1010C2×C22⋊C4—112no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—112no—
1013C2×C22⋊C4—112no—
1014C2×C22⋊C4—112no—
1015C2×C22⋊C4—112no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—112no—
1018C2×C22⋊C4—112no—
1019C2×C22⋊C4—1116no—
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—118no—
1027C2×C22⋊C4—118no—
1028C2×C22⋊C4—1116no—
1029C2×C22⋊C4—1116no—
1030C2×C22⋊C4—1116no—
1031C2×C22⋊C4C22×D1111yescharacteristic
1032C2×C22⋊C4C22×D1112yes—
1033C2×C22⋊C4C22×D1111yescharacteristic
1034C2×C22⋊C4C22×D1112yes—
1035C2×C22⋊C4C22×D1112yes—
1036C2×C42—112no—
1037C2×C42—112no—
1038C2×C42—111no—
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—118no—
1042C2×C42C22×D1112yes—
1043C2×C42C22×D1112yes—
1044C2×C42C22×D1111yescharacteristic
1045C2×C11—24no—
1046C2×C11—42no—
1047C2×C11#350514yescomplemented
1048C2×C11C23×#4111yescharacteristic
1049C2×C11C22×H(5,𝔽2)11yescharacteristic
1050C2×C11C2×#58511yescharacteristic
1051D11—24no—
1052D11—24no—
1053D11—42no—
1054D11—44no—
1055D11—44no—
1056C24—111no—
1057C24—111no—
1058C24—118no—
1059C24—114no—
1060C24—111no—
1061C24—112no—
1062C24—112no—
1063C24—118no—
1064C24—114no—
1065C24—224no—
1066C24—228no—
1067C24—442no—
1068C24—442no—
1069C24—442no—
1070C24—442no—
1071C24—444no—
1072C24—444no—
1073C24C23×D1111yescharacteristic
1074C24C23×D1111yescharacteristic
1075#41—4416no—
1076#41—4416no—
1077C2×Q8—24no—
1078C2×Q8—114no—
1079C2×Q8—118no—
1080C2×Q8—224no—
1081C2×Q8—444no—
1082C2×Q8—4416no—
1083C2×Q8C23×D1114yes—
1084C2×D4—24no—
1085C2×D4—114no—
1086C2×D4—114no—
1087C2×D4—118no—
1088C2×D4—118no—
1089C2×D4—118no—
1090C2×D4—118no—
1091C2×D4—118no—
1092C2×D4—114no—
1093C2×D4—118no—
1094C2×D4—114no—
1095C2×D4—114no—
1096C2×D4—118no—
1097C2×D4—118no—
1098C2×D4—118no—
1099C2×D4—228no—
1100C2×D4—228no—
1101C2×D4—228no—
1102C2×D4—228no—
1103C2×D4—2264no—
1104C2×D4—224no—
1105C2×D4—2232no—
1106C2×D4—224no—
1107C2×D4—224no—
1108C2×D4—224no—
1109C2×D4—224no—
1110C2×D4—4416no—
1111C2×D4—444no—
1112C2×D4—444no—
1113C2×D4—444no—
1114C2×D4—444no—
1115C2×D4—444no—
1116C2×D4C23×D1114yes—
1117C22×C4—28no—
1118C22×C4—24no—
1119C22×C4—24no—
1120C22×C4—111no—
1121C22×C4—111no—
1122C22×C4—111no—
1123C22×C4—111no—
1124C22×C4—112no—
1125C22×C4—112no—
1126C22×C4—111no—
1127C22×C4—114no—
1128C22×C4—114no—
1129C22×C4—114no—
1130C22×C4—114no—
1131C22×C4—114no—
1132C22×C4—114no—
1133C22×C4—114no—
1134C22×C4—118no—
1135C22×C4—114no—
1136C22×C4—118no—
1137C22×C4—114no—
1138C22×C4—118no—
1139C22×C4—118no—
1140C22×C4—118no—
1141C22×C4—118no—
1142C22×C4—114no—
1143C22×C4—114no—
1144C22×C4—224no—
1145C22×C4—224no—
1146C22×C4—224no—
1147C22×C4—224no—
1148C22×C4—4416no—
1149C22×C4—4416no—
1150C22×C4—442no—
1151C22×C4—442no—
1152C22×C4—442no—
1153C22×C4—442no—
1154C22×C4—444no—
1155C22×C4—444no—
1156C22×C4—444no—
1157C22×C4—442no—
1158C22×C4—444no—
1159C22×C4—444no—
1160C22×C4—444no—
1161C22×C4—442no—
1162C22×C4—442no—
1163C22×C4C23×D1118yes—
1164C22×C4C23×D1114yes—
1165C22×C4C23×D1114yes—
1166C22×C4C23×D1112yes—
1167C22×C4C23×D1111yescharacteristic
1168C22×C4C23×D1111yescharacteristic
1169C22×C4C23×D1112yes—
1170C22×C4C23×D1111yescharacteristic
1171C22×C4C23×D1112yes—
1172C22×C4C23×D1112yes—
1173C22×C4C23×D1111yescharacteristic
1174C22×C4C23×D1111yescharacteristic
1175C4⋊C4—114no—
1176C4⋊C4—118no—
1177C4⋊C4—118no—
1178C4⋊C4—114no—
1179C4⋊C4—114no—
1180C4⋊C4—114no—
1181C4⋊C4—118no—
1182C4⋊C4—118no—
1183C4⋊C4—118no—
1184C4⋊C4—118no—
1185C4⋊C4—118no—
1186C4⋊C4—118no—
1187C4⋊C4C23×D1114yes—
1188C4⋊C4C23×D1114yes—
1189C4⋊C4C23×D1118yes—
1190C4⋊C4C23×D1114yes—
1191C4⋊C4C23×D1114yes—
1192C4⋊C4C23×D1118yes—
1193C4⋊C4C23×D1118yes—
1194C4⋊C4C23×D1118yes—
1195C4⋊C4C23×D1118yes—
1196C4⋊C4C23×D1118yes—
1197C22⋊C4—114no—
1198C22⋊C4—118no—
1199C22⋊C4—114no—
1200C22⋊C4—118no—
1201C22⋊C4—118no—
1202C22⋊C4—114no—
1203C22⋊C4—114no—
1204C22⋊C4—118no—
1205C22⋊C4—118no—
1206C22⋊C4—114no—
1207C22⋊C4—118no—
1208C22⋊C4—118no—
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—118no—
1219C22⋊C4—118no—
1220C22⋊C4C23×D1114yes—
1221C22⋊C4C23×D1118yes—
1222C22⋊C4C23×D1114yes—
1223C22⋊C4C23×D1118yes—
1224C22⋊C4C23×D1118yes—
1225C42—114no—
1226C42—114no—
1227C42—114no—
1228C42—118no—
1229C42—118no—
1230C42C23×D1114yes—
1231C42C23×D1118yes—
1232C42C23×D1118yes—
1233C11C2×#350511yescharacteristic, complemented, Sylow
1234C23—22no—
1235C23—22no—
1236C23—22no—
1237C23—22no—
1238C23—22no—
1239C23—114no—
1240C23—114no—
1241C23—112no—
1242C23—112no—
1243C23—1116no—
1244C23—112no—
1245C23—114no—
1246C23—114no—
1247C23—228no—
1248C23—222no—
1249C23—222no—
1250C23—222no—
1251C23—222no—
1252C23—222no—
1253C23—224no—
1254C23—224no—
1255C23—222no—
1256C23—224no—
1257C23—224no—
1258C23—224no—
1259C23—224no—
1260C23—222no—
1261C23—2216no—
1262C23—444no—
1263C23—444no—
1264C23—444no—
1265C23—4416no—
1266C23—444no—
1267C23—448no—
1268C23—448no—
1269C23—4416no—
1270C23—8816no—
1271C23#41×D1114yes—
1272C23C24×D1112yes—
1273C23C24×D1112yes—
1274C23C24×D1111yescharacteristic
1275Q8—28no—
1276Q8—228no—
1277Q8—448no—
1278D4—28no—
1279D4—2216no—
1280D4—2216no—
1281D4—2216no—
1282D4—2216no—
1283D4—228no—
1284D4—228no—
1285D4—228no—
1286D4—228no—
1287D4—228no—
1288D4—448no—
1289D4—448no—
1290D4—448no—
1291D4—448no—
1292D4—448no—
1293C2×C4—216no—
1294C2×C4—24no—
1295C2×C4—24no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—24no—
1300C2×C4—22no—
1301C2×C4—24no—
1302C2×C4—28no—
1303C2×C4—28no—
1304C2×C4—112no—
1305C2×C4—112no—
1306C2×C4—112no—
1307C2×C4—112no—
1308C2×C4—114no—
1309C2×C4—114no—
1310C2×C4—112no—
1311C2×C4—228no—
1312C2×C4—222no—
1313C2×C4—222no—
1314C2×C4—222no—
1315C2×C4—222no—
1316C2×C4—224no—
1317C2×C4—222no—
1318C2×C4—224no—
1319C2×C4—228no—
1320C2×C4—228no—
1321C2×C4—228no—
1322C2×C4—444no—
1323C2×C4—444no—
1324C2×C4—444no—
1325C2×C4—444no—
1326C2×C4—448no—
1327C2×C4—448no—
1328C2×C4—448no—
1329C2×C4—444no—
1330C2×C4—448no—
1331C2×C4—448no—
1332C2×C4—448no—
1333C2×C4—444no—
1334C2×C4—444no—
1335C2×C4#6704214yes—
1336C2×C4C24×D1114yes—
1337C2×C4C24×D1112yes—
1338C2×C4C24×D1112yes—
1339C2×C4C24×D1114yes—
1340C2×C4C24×D1112yes—
1341C2×C4C24×D1114yes—
1342C2×C4C24×D1114yes—
1343C2×C4C24×D1112yes—
1344C2×C4C24×D1112yes—
1345C22—22no—
1346C22—22no—
1347C22—28no—
1348C22—22no—
1349C22—22no—
1350C22—22no—
1351C22—44no—
1352C22—114no—
1353C22—114no—
1354C22—222no—
1355C22—222no—
1356C22—222no—
1357C22—222no—
1358C22—228no—
1359C22—228no—
1360C22—222no—
1361C22—224no—
1362C22—224no—
1363C22—222no—
1364C22—224no—
1365C22—224no—
1366C22—224no—
1367C22—224no—
1368C22—222no—
1369C22—4416no—
1370C22—4416no—
1371C22—444no—
1372C22—448no—
1373C22—448no—
1374C22—8816no—
1375C22C2×#41×D1114yes—
1376C22C2×#41×D1112yes—
1377C22C2×#6704212yes—
1378C22#1062345712yes—
1379C22C25×D1111yescharacteristic
1380C4—24no—
1381C4—24no—
1382C4—22no—
1383C4—22no—
1384C4—22no—
1385C4—24no—
1386C4—22no—
1387C4—24no—
1388C4—222no—
1389C4—222no—
1390C4—222no—
1391C4—222no—
1392C4—224no—
1393C4—222no—
1394C4—224no—
1395C4C2×#6704214yes—
1396C2—24no—
1397C2—42no—
1398C2—224no—
1399C2—224no—
1400C2—442no—
1401C2—444no—
1402C2—444no—
1403C2#1308245614yesdirect product factor
1404C2C22×#41×D1111yescharacteristic
1405C2C22×#6704211yescharacteristic
1406C2C2×#1062345711yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#552C2
socleC23×C11C25
hypercenterC2×#552D11
hypocenterC11C2×#3505
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#552

Complements

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

NH ≅ G/Ntype
1. #13082456C2direct (N × H)
2. C2×#10623226C2semidirect
3. C2×#10623226C2semidirect
4. C2×#10623240C2semidirect
5. C2×#10623061C2semidirect
6. C2×#10623044C2semidirect
7. C2×#10623058C2semidirect
8. C2×#10623189C2semidirect
9. C2×#10623107C2semidirect
10. C2×#10623164C2semidirect
11. C2×#10623081C2semidirect
12. C2×#10623161C2semidirect
13. C2×#10623223C2semidirect
14. C2×#10623235C2semidirect
15. C2×#10623184C2semidirect
16. C2×#10623111C2semidirect
17. C2×#10623222C2semidirect
18. C2×#10623158C2semidirect
19. C2×#10623055C2semidirect
20. C2×D11×C22⋊Q8C2semidirect
21. C22×#66948C2semidirect
22. C2×#10623052C2semidirect
23. C2×C4×D4×D11C2semidirect
24. C2×C11×#552C2semidirect
25. C22×#4343C22semidirect
26. C22×Q8×D11C22semidirect
28. C22×#4339C22semidirect
30. C23×D44C22semidirect
32. C23×C4×D11C22semidirect
33. C11×#552C22semidirect
34. C2×C11×#126C22semidirect
35. C2×C11×#125C22semidirect
36. C2×C11×#125C22semidirect
38. C2×C11×C22⋊Q8C22semidirect
39. C2×C11×C22⋊Q8C22semidirect
40. C2×C4×Q8×C11C22semidirect
42. C2×C11×#117C22semidirect
43. C2×C11×#117C22semidirect
44. C22×C11×C4⋊C4C22semidirect
45. C2×#67000C22semidirect
46. C2×#66999C22semidirect
49. C2×#66983C22semidirect
52. C2×C4×C22⋊D11C22semidirect
53. C22×(C2×D11)⋊C4C22semidirect
54. C2×#66979C22semidirect
55. C2×#66977C22semidirect
56. #10623240C22semidirect
57. #10623235C22semidirect
58. #10623226C22semidirect
59. #10623226C22semidirect
60. #10623223C22semidirect
61. #10623222C22semidirect
62. #10623189C22semidirect
63. #10623184C22semidirect
64. #10623164C22semidirect
65. #10623161C22semidirect
66. #10623158C22semidirect
67. D11×C22⋊Q8C22semidirect
68. #10623111C22semidirect
69. #10623107C22semidirect
70. #10623081C22semidirect
71. C4×D4×D11C22semidirect
72. #10623061C22semidirect
73. #10623058C22semidirect
74. #10623055C22semidirect
75. #10623052C22semidirect
76. #10623044C22semidirect
77. C2×#66951C22semidirect
78. C2×#66951C22semidirect
79. C2×#66951C22semidirect
80. C2×#66951C22semidirect
81. C2×#66950C22semidirect
82. C2×#66950C22semidirect
83. C2×#66950C22semidirect
84. C2×#66949C22semidirect
85. C2×#66949C22semidirect
89. C2×#66948C22semidirect
90. C2×#66948C22semidirect
91. C2×#66948C22semidirect
92. C2×#66948C22semidirect
93. C2×#66948C22semidirect
94. C2×#66948C22semidirect
95. C2×#66948C22semidirect
96. C2×#66948C22semidirect
97. C2×#66947C22semidirect
98. C2×#66947C22semidirect
99. C2×#66947C22semidirect
100. C2×#66947C22semidirect
101. C2×#66947C22semidirect
102. C2×#66947C22semidirect
103. C2×#66946C22semidirect
104. C2×#66946C22semidirect
105. C2×#66946C22semidirect
106. C2×#66946C22semidirect
107. C2×#66946C22semidirect
108. C2×#66946C22semidirect
109. C2×#66945C22semidirect
110. C2×#66945C22semidirect
111. C2×C4⋊C4×D11C22semidirect
112. C2×C4⋊C4×D11C22semidirect
113. C2×C4⋊C4×D11C22semidirect
114. C2×#66943C22semidirect
115. C2×#66942C22semidirect
116. C2×#66940C22semidirect
117. C2×#66939C22semidirect
118. C2×#66938C22semidirect
119. C2×#66937C22semidirect
120. C2×#66937C22semidirect
121. C2×#66937C22semidirect
122. C2×#66936C22semidirect
124. C2×#66935C22semidirect
125. C2×#66935C22semidirect
127. C2×(C22⋊D11)⋊C4C22semidirect
128. C2×(C22⋊D11)⋊C4C22semidirect
131. C2×C22⋊C4×D11C22semidirect
132. C2×C22⋊C4×D11C22semidirect
133. C2×C22⋊C4×D11C22semidirect
134. C2×#66931C22semidirect
135. C2×#66929C22semidirect
136. C2×#66928C22semidirect
137. C2×#66928C22semidirect
138. C2×C4×D44C22semidirect
139. C2×C4×D44C22semidirect
140. C2×C4×D44C22semidirect
141. C2×C4×D44C22semidirect
142. C2×C4×D44C22semidirect
143. C2×C4×D44C22semidirect
144. C2×C4×D44C22semidirect
145. C2×#66925C22semidirect
146. C2×C42×D11C22semidirect
162. C2×#4343C23semidirect
164. C2×Q8×D11C23semidirect
168. C2×#4339C23semidirect
182. C22×D44C23semidirect
201. C22×C4×D11C23semidirect
204. C11×#126C23semidirect
205. C11×#125C23semidirect
206. C11×#125C23semidirect
208. C11×C22⋊Q8C23semidirect
209. C11×C22⋊Q8C23semidirect
210. C4×Q8×C11C23semidirect
212. C11×#117C23semidirect
213. C11×#117C23semidirect
224. C2×C11×C4⋊C4C23semidirect
236. #67000C23semidirect
237. #66999C23semidirect
240. #66983C23semidirect
243. C4×C22⋊D11C23semidirect
264. C2×(C2×D11)⋊C4C23semidirect
265. #66979C23semidirect
271. #66977C23semidirect
284. #66951C23semidirect
285. #66951C23semidirect
286. #66951C23semidirect
287. #66951C23semidirect
288. #66950C23semidirect
289. #66950C23semidirect
290. #66950C23semidirect
291. #66949C23semidirect
292. #66949C23semidirect
296. #66948C23semidirect
297. #66948C23semidirect
298. #66948C23semidirect
299. #66948C23semidirect
300. #66948C23semidirect
301. #66948C23semidirect
302. #66948C23semidirect
303. #66947C23semidirect
304. #66947C23semidirect
305. #66947C23semidirect
306. #66947C23semidirect
307. #66947C23semidirect
308. #66947C23semidirect
309. #66946C23semidirect
310. #66946C23semidirect
311. #66946C23semidirect
312. #66946C23semidirect
313. #66946C23semidirect
314. #66946C23semidirect
315. #66945C23semidirect
316. #66945C23semidirect
317. C4⋊C4×D11C23semidirect
318. C4⋊C4×D11C23semidirect
319. C4⋊C4×D11C23semidirect
320. #66943C23semidirect
321. #66942C23semidirect
322. #66940C23semidirect
323. #66939C23semidirect
324. #66938C23semidirect
325. #66937C23semidirect
326. #66937C23semidirect
327. #66937C23semidirect
328. #66936C23semidirect
330. #66935C23semidirect
331. #66935C23semidirect
333. (C22⋊D11)⋊C4C23semidirect
334. (C22⋊D11)⋊C4C23semidirect
337. C22⋊C4×D11C23semidirect
338. C22⋊C4×D11C23semidirect
339. C22⋊C4×D11C23semidirect
340. #66931C23semidirect
341. #66929C23semidirect
342. #66928C23semidirect
343. #66928C23semidirect
344. C4×D44C23semidirect
345. C4×D44C23semidirect
346. C4×D44C23semidirect
347. C4×D44C23semidirect
348. C4×D44C23semidirect
349. C4×D44C23semidirect
350. C4×D44C23semidirect
351. #66925C23semidirect
352. C42×D11C23semidirect
364. C23×D11#41semidirect
537. C2×#552D11semidirect
590. C22×D11C2×#41semidirect
679. #552C2×D11semidirect
696. C2×#126C2×D11semidirect
699. C2×#125C2×D11semidirect
700. C2×#125C2×D11semidirect
726. C2×C22⋊Q8C2×D11semidirect
727. C2×C22⋊Q8C2×D11semidirect
749. C2×C4×Q8C2×D11semidirect
775. C2×#117C2×D11semidirect
776. C2×#117C2×D11semidirect
780. C22×C4⋊C4C2×D11semidirect
901. #126C22×D11semidirect
904. #125C22×D11semidirect
905. #125C22×D11semidirect
928. C22⋊Q8C22×D11semidirect
929. C22⋊Q8C22×D11semidirect
949. C4×Q8C22×D11semidirect
974. #117C22×D11semidirect
975. #117C22×D11semidirect
1001. C2×C4⋊C4C22×D11semidirect
1047. C2×C11#3505semidirect
1233. C11C2×#3505semidirect
1403. C2#13082456direct (N × H)

Maximal subgroups

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

subgroupindex
#130824562
C2×#106232262
C2×#106232402
C2×#106230612
C2×#106230442
C2×#106230582
C2×#106231892
C2×#106231072
C2×#106231642
C2×#106230812
C2×#106231612
C2×#106232232
C2×#106232352
C2×#106231842
C2×#106231112
C2×#106232222
C2×#106231582
C2×#106230552
C2×D11×C22⋊Q82
C22×#669482
C2×#106230522
C2×C4×D4×D112
C2×C11×#5522
C2×#350511