Finite Group Databasebeta

← C2×#13082255 #15661812

Subgroups — C2×#13082255 #15661812

Order 2816.

11686 conjugacy classes of subgroups.

The subgroup lattice has 1532 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#67042C211yesmaximal, characteristic, complemented
2C22×#41×D11C211yesmaximal, characteristic, complemented
3#13082255C2132yesmaximal, direct product factor
4C2×#10623257C211yesmaximal, characteristic, complemented
5C2×#10623162C211yesmaximal, characteristic, complemented
6C2×#10623038C212yesmaximal, complemented
7C2×#10623355C211yesmaximal, characteristic, complemented
8C2×#10623186C212yesmaximal, complemented
9C2×#10623081C211yesmaximal, characteristic, complemented
10C2×#10623085C211yesmaximal, characteristic, complemented
11C2×#10623185C212yesmaximal, complemented
12C2×#10623161C211yesmaximal, characteristic, complemented
13C2×#10623141C212yesmaximal, complemented
14C2×#10623360C211yesmaximal, characteristic, complemented
15C2×#10623255C211yesmaximal, characteristic, complemented
16C2×#10623159C211yesmaximal, characteristic, complemented
17C2×#10623184C212yesmaximal, complemented
18C2×#10623136C212yesmaximal, complemented
19C2×#10623158C211yesmaximal, characteristic, complemented
20C2×#10623078C211yesmaximal, characteristic, complemented
21C22×#66947C212yesmaximal, complemented
22C2×D11×#123C212yesmaximal, complemented
23C2×#10623076C211yesmaximal, characteristic, complemented
24C2×C11×#547C211yesmaximal, characteristic, complemented
25C22×C11×#41C2211yescharacteristic, complemented
26C22×C11×#41C2211yescharacteristic, complemented
27C2×#67042—216no—
28C2×#67042C22116yescomplemented
29C2×#41×D11—216no—
30C2×#41×D11C22116yescomplemented
31C22×#4343C2211yescharacteristic
32C22×#4343C2211yescharacteristic, complemented
33C22×#4343C2211yescharacteristic, complemented
34C22×Q8×D11C2211yescharacteristic, complemented
35C22×#4341C2212yescomplemented
36C22×#4341C2211yescharacteristic, complemented
37C22×D4×D11C2212yes—
38C22×D4×D11C2211yescharacteristic
39C22×D4×D11C2212yescomplemented
40C22×D4×D11C2211yescharacteristic, complemented
41C22×D4×D11C2212yescomplemented
42C22×#4339C2211yescharacteristic
43C22×#4339C2212yescomplemented
44C22×#4339C2211yescharacteristic, complemented
45C22×#4339C2212yescomplemented
46C23×D44C2212yes—
47C23×D44C2211yescharacteristic, complemented
48C23×C4×D11C2211yescharacteristic, complemented
49C23×C4×D11C2212yescomplemented
50C11×#547C22116yescomplemented
51C2×C11×C4⋊Q8C2211yescharacteristic, complemented
52C2×C11×#123C2212yescomplemented
53C2×C11×#123C2212yescomplemented
54C2×C11×C22⋊Q8C2211yescharacteristic, complemented
55C2×C11×C22⋊Q8C2211yescharacteristic, complemented
56C2×C11×#121C2212yescomplemented
57C2×C4×D4×C11C2211yescharacteristic, complemented
58C2×C4×D4×C11C2211yescharacteristic, complemented
59C22×C11×C4⋊C4C2212yescomplemented
60#10623360C22116yescomplemented
61#10623355C22116yescomplemented
62C2×#67000C2211yescharacteristic, complemented
63C2×#66999C2211yescharacteristic, complemented
64C2×#66999C2211yescharacteristic, complemented
65C2×#66997C2211yescharacteristic, complemented
66C2×#66992C2211yescharacteristic, complemented
67C2×#66992C2212yescomplemented
68C2×#66992C2212yescomplemented
69C2×#66990C2211yescharacteristic, complemented
70C2×#66990C2212yescomplemented
71C2×#66990C2212yescomplemented
72C2×#66988C2212yescomplemented
73C2×D4×Dic11C2211yescharacteristic, complemented
74C2×#66983C2211yescharacteristic, complemented
75C2×#66983C2212yescomplemented
76C2×#66982C2212yescomplemented
77C2×#66982C2212yescomplemented
78C2×C4×C22⋊D11C2211yescharacteristic, complemented
79C2×C4×C22⋊D11C2211yescharacteristic, complemented
80C2×C4×C22⋊D11C2212yescomplemented
81C22×(C2×D11)⋊C4C2212yescomplemented
82C22×(C2×D11)⋊C4C2212yescomplemented
83C22×(C2×D11)⋊C4C2212yescomplemented
84C2×#66977C2211yescharacteristic, complemented
85C22×Dic11⋊C4C2212yescomplemented
86#10623257C22116yescomplemented
87#10623255C22116yescomplemented
88#10623186C22132yescomplemented
89#10623185C22132yescomplemented
90#10623184C22132yescomplemented
91D11×#123C22132yescomplemented
92#10623162C22116yescomplemented
93#10623161C22116yescomplemented
94#10623159C22116yescomplemented
95#10623158C22116yescomplemented
96#10623141C22132yescomplemented
97#10623136C22132yescomplemented
98#10623085C22116yescomplemented
99#10623081C22116yescomplemented
100#10623078C22116yescomplemented
101#10623076C22116yescomplemented
102C2×#66950C2211yescharacteristic, complemented
103C2×#66949C2211yescharacteristic, complemented
104C2×#66949C2212yescomplemented
105C2×#66949C2212yescomplemented
106#10623038C22132yescomplemented
107C2×#66948C2211yescharacteristic, complemented
108C2×#66948C2212yescomplemented
109C2×#66948C2212yescomplemented
110C2×#66947C2211yescharacteristic, complemented
111C2×#66947C2212yescomplemented
112C2×#66947C2212yescomplemented
113C2×#66947C2212yescomplemented
114C2×#66947C2212yescomplemented
115C2×#66947C2212yescomplemented
116C2×#66947C2212yescomplemented
117C2×#66947C2212yescomplemented
118C2×#66947C2212yescomplemented
119C2×#66947C2212yescomplemented
120C2×#66947C22132yescomplemented
121C2×#66946C2212yescomplemented
122C2×#66946C2211yescharacteristic, complemented
123C2×#66945C2211yescharacteristic, complemented
124C2×C4⋊C4×D11C2212yescomplemented
125C2×C4⋊C4×D11C2212yescomplemented
126C2×#66941C2212yescomplemented
127C2×#66939C2212yescomplemented
128C2×#66938C2212yescomplemented
129C2×#66937C2211yescharacteristic, complemented
130C2×#66937C2212yescomplemented
131C2×#66937C2212yescomplemented
132C2×#66936C2211yescharacteristic, complemented
133C2×#66936C2212yescomplemented
134C2×#66936C2212yescomplemented
135C2×#66935C2211yescharacteristic, complemented
136C2×#66935C2212yescomplemented
137C2×#66935C2212yescomplemented
138C2×#66935C2212yescomplemented
139C2×(C22⋊D11)⋊C4C2212yescomplemented
140C2×(C22⋊D11)⋊C4C2212yescomplemented
141C2×C22⋊C4×D11C2212yescomplemented
142C2×C22⋊C4×D11C2212yescomplemented
143C2×C22⋊C4×D11C2212yescomplemented
144C2×#66931C2211yescharacteristic, complemented
145C2×#66928C2211yescharacteristic, complemented
146C2×C4×D44C2211yescharacteristic, complemented
147C2×C4×D44C2211yescharacteristic, complemented
148C2×#66925C2211yescharacteristic, complemented
149C24×D11C2312yes—
150C24×D11C2311yescharacteristic
151C24×D11C2312yes—
152C24×D11C2312yes—
153C2×C11×#41—28no—
154C2×C11×#41—28no—
155C2×C11×#41C2318yescomplemented
156C2×C11×#41C2318yescomplemented
157C22×Q8×C11C2311yescharacteristic
158C22×Q8×C11C2311yescharacteristic
159C22×D4×C11C2312yes—
160C22×D4×C11C2312yes—
161C22×D4×C11C2311yescharacteristic
162C22×D4×C11C2311yescharacteristic
163C23×C4×C11C2312yes—
164C23×C4×C11C2311yescharacteristic
165C23×C4×C11C2312yes—
166C23×C4×C11C2311yescharacteristic
167C23×C4×C11C2312yes—
168C22×C22⋊D11C2312yes—
169C22×C22⋊D11C2311yescharacteristic
170C22×C22⋊D11C2312yes—
171C22×C22⋊D11C2311yescharacteristic
172C22×C22⋊D11C2312yes—
173C22×C22⋊D11C2312yes—
174C22×C22⋊D11C2311yescharacteristic
175C22×C22⋊D11C2311yescharacteristic
176C22×C22⋊D11C2312yes—
177C23×Dic11C2311yescharacteristic
178C23×Dic11C2312yes—
179C23×Dic11C2312yes—
180#67042—2128no—
181#41×D11—2128no—
182C2×#4343—28no—
183C2×#4343—28no—
184C2×#4343—28no—
185C2×#4343C2318yes—
186C2×#4343C2318yescomplemented
187C2×#4343C2318yescomplemented
188C2×Q8×D11—28no—
189C2×Q8×D11C2318yescomplemented
190C2×#4341—28no—
191C2×#4341—216no—
192C2×#4341C2318yescomplemented
193C2×#4341C23116yescomplemented
194C2×D4×D11—216no—
195C2×D4×D11—216no—
196C2×D4×D11—28no—
197C2×D4×D11—216no—
198C2×D4×D11D4116yescomplemented
199C2×D4×D11C23116yes—
200C2×D4×D11C2318yes—
201C2×D4×D11C2318yescomplemented
202C2×D4×D11C23116yescomplemented
203C2×D4×D11C23116yescomplemented
204C2×#4339—216no—
205C2×#4339—216no—
206C2×#4339—28no—
207C2×#4339—28no—
208C2×#4339C2318yes—
209C2×#4339C23116yescomplemented
210C2×#4339C23116yescomplemented
211C2×#4339C2318yescomplemented
212C22×D44—216no—
213C22×D44—28no—
214C22×D44C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2312yes—
217C22×D44C2312yes—
218C22×D44C2312yes—
219C22×D44C2312yes—
220C22×D44C23116yes—
221C22×D44C2311yescharacteristic
222C22×D44C2312yes—
223C22×D44C2311yescharacteristic
224C22×D44C2318yescomplemented
225C22×C4×D11—216no—
226C22×C4×D11—28no—
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2312yes—
230C22×C4×D11C2312yes—
231C22×C4×D11C2312yes—
232C22×C4×D11C2312yes—
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2312yes—
235C22×C4×D11C2311yescharacteristic
236C22×C4×D11C2312yes—
237C22×C4×D11C2312yes—
238C22×C4×D11C2311yescharacteristic
239C22×C4×D11C23116yescomplemented
240C22×C4×D11C2318yescomplemented
241C22×Dic22C2311yescharacteristic
242C22×Dic22C2311yescharacteristic
243C22×Dic22C2312yes—
244C11×C4⋊Q8C2318yescomplemented
245C11×#123C23116yescomplemented
246C11×#123C23116yescomplemented
247C11×C22⋊Q8C2318yescomplemented
248C11×C22⋊Q8C2318yescomplemented
249C11×#121C23116yescomplemented
250C4×D4×C11C2318yescomplemented
251C4×D4×C11C2318yescomplemented
252C2×C11×C4⋊C4C2312yes—
253C2×C11×C4⋊C4C2312yes—
254C2×C11×C4⋊C4C2312yes—
255C2×C11×C4⋊C4C2311yescharacteristic
256C2×C11×C4⋊C4C2311yescharacteristic
257C2×C11×C4⋊C4C2312yes—
258C2×C11×C4⋊C4C23116yescomplemented
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4C2312yes—
262C2×C11×C22⋊C4C2312yes—
263C2×C11×C22⋊C4C2312yes—
264C2×C42×C11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2312yes—
268C2×C22⋊Dic11C2312yes—
269#67000C2318yescomplemented
270#66999C2318yescomplemented
271#66999C2318yescomplemented
272#66997C2318yescomplemented
273#66992C2318yescomplemented
274#66992C23116yescomplemented
275#66992C23116yescomplemented
276#66990C2318yescomplemented
277#66990C23116yescomplemented
278#66990C23116yescomplemented
279#66988C23116yescomplemented
280D4×Dic11C2318yescomplemented
281#66983C23116yescomplemented
282#66983C2318yescomplemented
283#66982C23116yescomplemented
284#66982C23116yescomplemented
285C4×C22⋊D11C23116yescomplemented
286C4×C22⋊D11C2318yescomplemented
287C4×C22⋊D11C2318yescomplemented
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2312yes—
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2312yes—
294C2×(C2×D11)⋊C4C2312yes—
295C2×(C2×D11)⋊C4C2312yes—
296C2×(C2×D11)⋊C4C2312yes—
297C2×(C2×D11)⋊C4C2312yes—
298C2×(C2×D11)⋊C4C2312yes—
299C2×(C2×D11)⋊C4C2312yes—
300C2×(C2×D11)⋊C4C2312yes—
301C2×(C2×D11)⋊C4C2312yes—
302C2×(C2×D11)⋊C4C2312yes—
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2312yes—
306C2×(C2×D11)⋊C4C23116yescomplemented
307C2×(C2×D11)⋊C4C23116yescomplemented
308C2×(C2×D11)⋊C4C23116yescomplemented
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2312yes—
312#66977C2318yescomplemented
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2312yes—
317C2×Dic11⋊C4C2312yes—
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2312yes—
320C2×Dic11⋊C4C2312yes—
321C2×Dic11⋊C4C2312yes—
322C2×Dic11⋊C4C23116yescomplemented
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2312yes—
325#66950C2318yescomplemented
326#66949C23116yescomplemented
327#66949C23116yescomplemented
328#66949C2318yescomplemented
329#66948C23116yescomplemented
330#66948C23116yescomplemented
331#66948C2318yescomplemented
332#66947C23116yescomplemented
333#66947C23116yescomplemented
334#66947C23116yescomplemented
335#66947C23116yescomplemented
336#66947C2318yescomplemented
337#66947C23116yescomplemented
338#66947C23116yescomplemented
339#66947C23116yescomplemented
340#66947C23116yescomplemented
341#66947C23116yescomplemented
342#66946C23116yescomplemented
343#66946C2318yescomplemented
344#66945C2318yescomplemented
345C4⋊C4×D11C23116yescomplemented
346C4⋊C4×D11C23116yescomplemented
347#66941C23116yescomplemented
348#66939C23116yescomplemented
349#66938C23116yescomplemented
350#66937C2318yescomplemented
351#66937C23116yescomplemented
352#66937C23116yescomplemented
353#66936C2318yescomplemented
354#66936C23116yescomplemented
355#66936C23116yescomplemented
356#66935C2318yescomplemented
357#66935C23116yescomplemented
358#66935C23116yescomplemented
359#66935C23116yescomplemented
360(C22⋊D11)⋊C4C23116yescomplemented
361(C22⋊D11)⋊C4C23116yescomplemented
362C22⋊C4×D11C23116yescomplemented
363C22⋊C4×D11C23116yescomplemented
364C22⋊C4×D11C23116yescomplemented
365#66931C2318yescomplemented
366#66928C2318yescomplemented
367C4×D44C2318yescomplemented
368C4×D44C2318yescomplemented
369#66925C2318yescomplemented
370C2×#3485—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2412yes—
374C23×D11—28no—
375C23×D11—24no—
376C23×D11—28no—
377C23×D11—44no—
378C23×D11—44no—
379C23×D11—42no—
380C23×D11—42no—
381C23×D11—44no—
382C23×D11—44no—
383C23×D11—44no—
384C23×D11—44no—
385C23×D11C2×D4116yes—
386C23×D11C2411yescharacteristic
387C23×D11C2412yes—
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C23×D11C2412yes—
391C23×D11C2418yes—
392C23×D11C2414yes—
393C23×D11C2418yes—
394C23×D11C2418yes—
395C11×#41—232no—
396C11×#41—232no—
397C2×Q8×C11—24no—
398C2×Q8×C11—24no—
399C2×Q8×C11C2414yes—
400C2×Q8×C11C2414yes—
401C2×D4×C11—28no—
402C2×D4×C11—28no—
403C2×D4×C11—42no—
404C2×D4×C11C2×D418yes—
405C2×D4×C11C2418yes—
406C2×D4×C11C2418yes—
407C2×D4×C11C2414yes—
408C2×D4×C11C2414yes—
409C22×C4×C11—28no—
410C22×C4×C11—28no—
411C22×C4×C11—24no—
412C22×C4×C11—24no—
413C22×C4×C11—44no—
414C22×C4×C11C2412yes—
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2412yes—
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2412yes—
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2418yes—
422C22×C4×C11C2414yes—
423C22×C4×C11C2418yes—
424C22×C4×C11C2414yes—
425C22×C4×C11C2418yes—
426C22×C4×C11C2411yescharacteristic
427C2×C22⋊D11—24no—
428C2×C22⋊D11—28no—
429C2×C22⋊D11—28no—
430C2×C22⋊D11—24no—
431C2×C22⋊D11—28no—
432C2×C22⋊D11—42no—
433C2×C22⋊D11—44no—
434C2×C22⋊D11—42no—
435C2×C22⋊D11C2×D4116yes—
436C2×C22⋊D11C2418yes—
437C2×C22⋊D11C2414yes—
438C2×C22⋊D11C2418yes—
439C2×C22⋊D11C2414yes—
440C2×C22⋊D11C2418yes—
441C2×C22⋊D11C2418yes—
442C2×C22⋊D11C2414yes—
443C2×C22⋊D11C2414yes—
444C2×C22⋊D11C2418yes—
445C22×Dic11—24no—
446C22×Dic11—28no—
447C22×Dic11—44no—
448C22×Dic11C2414yes—
449C22×Dic11C2418yes—
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2412yes—
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2412yes—
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2418yes—
457C22×Dic11C2411yescharacteristic
458#4343—232no—
459#4343—232no—
460#4343—232no—
461Q8×D11—232no—
462#4341—264no—
463#4341—232no—
464D4×D11—264no—
465D4×D11—264no—
466D4×D11—264no—
467D4×D11—232no—
468D4×D11C2×D4164yescomplemented
469#4339—264no—
470#4339—264no—
471#4339—232no—
472#4339—232no—
473C2×D44—232no—
474C2×D44—24no—
475C2×D44—28no—
476C2×D44—28no—
477C2×D44—28no—
478C2×D44—264no—
479C2×D44—28no—
480C2×D44—24no—
481C2×D44—42no—
482C2×D44—44no—
483C2×D44C2×D418yes—
484C2×D44C2414yes—
485C2×D44C2414yes—
486C2×D44C2418yes—
487C2×D44C2418yes—
488C2×D44C2418yes—
489C2×D44C2418yes—
490C2×D44C2414yes—
491C2×D44C2418yes—
492C2×D44C2414yes—
493C2×C4×D11—24no—
494C2×C4×D11—28no—
495C2×C4×D11—232no—
496C2×C4×D11—24no—
497C2×C4×D11—28no—
498C2×C4×D11—28no—
499C2×C4×D11—28no—
500C2×C4×D11—264no—
501C2×C4×D11—28no—
502C2×C4×D11—24no—
503C2×C4×D11—24no—
504C2×C4×D11—44no—
505C2×C4×D11—44no—
506C2×C4×D11C2×D418yes—
507C2×C4×D11C2414yes—
508C2×C4×D11C2414yes—
509C2×C4×D11C2418yes—
510C2×C4×D11C2418yes—
511C2×C4×D11C2418yes—
512C2×C4×D11C2418yes—
513C2×C4×D11C2414yes—
514C2×C4×D11C2418yes—
515C2×C4×D11C2414yes—
516C2×C4×D11C2418yes—
517C2×C4×D11C2418yes—
518C2×C4×D11C2414yes—
519C2×Dic22—24no—
520C2×Dic22—28no—
521C2×Dic22—24no—
522C2×Dic22C2414yes—
523C2×Dic22C2414yes—
524C2×Dic22C2418yes—
525C11×C4⋊C4C2418yes—
526C11×C4⋊C4C2418yes—
527C11×C4⋊C4C2418yes—
528C11×C4⋊C4C2414yes—
529C11×C4⋊C4C2414yes—
530C11×C4⋊C4C2418yes—
531C11×C22⋊C4C2414yes—
532C11×C22⋊C4C2414yes—
533C11×C22⋊C4C2418yes—
534C11×C22⋊C4C2418yes—
535C11×C22⋊C4C2418yes—
536C42×C11C2414yes—
537C22⋊Dic11C2414yes—
538C22⋊Dic11C2414yes—
539C22⋊Dic11C2418yes—
540C22⋊Dic11C2418yes—
541(C2×D11)⋊C4C2414yes—
542(C2×D11)⋊C4C2414yes—
543(C2×D11)⋊C4C2414yes—
544(C2×D11)⋊C4C2418yes—
545(C2×D11)⋊C4C2414yes—
546(C2×D11)⋊C4C2418yes—
547(C2×D11)⋊C4C2418yes—
548(C2×D11)⋊C4C2418yes—
549(C2×D11)⋊C4C2418yes—
550(C2×D11)⋊C4C2418yes—
551(C2×D11)⋊C4C2418yes—
552(C2×D11)⋊C4C2418yes—
553(C2×D11)⋊C4C2418yes—
554(C2×D11)⋊C4C2418yes—
555(C2×D11)⋊C4C2418yes—
556(C2×D11)⋊C4C2414yes—
557(C2×D11)⋊C4C2414yes—
558(C2×D11)⋊C4C2418yes—
559C4⋊Dic11C2414yes—
560C4⋊Dic11C2414yes—
561C4⋊Dic11C2418yes—
562Dic11⋊C4C2414yes—
563Dic11⋊C4C2414yes—
564Dic11⋊C4C2414yes—
565Dic11⋊C4C2418yes—
566Dic11⋊C4C2418yes—
567Dic11⋊C4C2414yes—
568Dic11⋊C4C2418yes—
569Dic11⋊C4C2418yes—
570Dic11⋊C4C2418yes—
571C4×Dic11C2414yes—
572C4×Dic11C2418yes—
573C22×H(5,𝔽2)—111no—
574C23×#41—111no—
575#3485—1132no—
576C2×#547—111no—
577C2×#547—111no—
578C2×#547—112no—
579C2×#547—111no—
580C2×#547—112no—
581C2×#547D1111yescharacteristic, complemented
582C2×#546—111no—
583C2×#546—112no—
584C2×#546—111no—
585C2×#546—112no—
586C2×#546—111no—
587C2×#546—111no—
588C2×#536—111no—
589C2×#536—111no—
590C2×#534—112no—
591C2×#534—112no—
592C2×#525—111no—
593C2×#525—111no—
594C22×#123—112no—
595C22×#123—112no—
596C2×#518—111no—
597C23×C11—24no—
598C23×C11—24no—
599C23×C11—22no—
600C23×C11—22no—
601C23×C11—22no—
602C23×C11—22no—
603C23×C11—22no—
604C23×C11—22no—
605C23×C11C22×D418yes—
606C23×C11C2512yes—
607C23×C11C2512yes—
608C23×C11C2514yes—
609C23×C11C2511yescharacteristic
610C22×D11—24no—
611C22×D11—24no—
612C22×D11—22no—
613C22×D11—22no—
614C22×D11—22no—
615C22×D11—24no—
616C22×D11—22no—
617C22×D11—22no—
618C22×D11—22no—
619C22×D11—24no—
620C22×D11—22no—
621C22×D11—22no—
622C22×D11—24no—
623C22×D11—216no—
624C22×D11—28no—
625C22×D11—216no—
626C22×D11—432no—
627C22×D11—48no—
628C22×D11—48no—
629C22×D11—44no—
630C22×D11—44no—
631C22×D11—48no—
632C22×D11—48no—
633C22×D11—48no—
634C22×D11—48no—
635C22×D11—416no—
636C22×D11—816no—
637C22×D11—816no—
638C22×D11C22×D414yes—
639C22×D11C22×D418yes—
640C22×D11C22×D4132yes—
641C22×D11C2512yes—
642C22×D11C2514yes—
643C22×D11C2512yes—
644C22×D11C2512yes—
645C22×D11C2514yes—
646Q8×C11—28no—
647Q8×C11—28no—
648D4×C11—216no—
649D4×C11—216no—
650D4×C11—44no—
651D4×C11C22×D4116yes—
652C2×C4×C11—24no—
653C2×C4×C11—22no—
654C2×C4×C11—22no—
655C2×C4×C11—24no—
656C2×C4×C11—216no—
657C2×C4×C11—216no—
658C2×C4×C11—22no—
659C2×C4×C11—24no—
660C2×C4×C11—22no—
661C2×C4×C11—28no—
662C2×C4×C11—28no—
663C2×C4×C11—48no—
664C2×C4×C11C22×D414yes—
665C2×C4×C11C2514yes—
666C2×C4×C11C2512yes—
667C2×C4×C11C2514yes—
668C2×C4×C11C2512yes—
669C2×C4×C11C2512yes—
670C2×C4×C11C2514yes—
671C2×C4×C11C2512yes—
672C2×C4×C11C2512yes—
673C22⋊D11—216no—
674C22⋊D11—216no—
675C22⋊D11—28no—
676C22⋊D11—216no—
677C22⋊D11—28no—
678C22⋊D11—44no—
679C22⋊D11—48no—
680C22⋊D11—44no—
681C22⋊D11C22×D4132yes—
682C2×Dic11—24no—
683C2×Dic11—22no—
684C2×Dic11—22no—
685C2×Dic11—216no—
686C2×Dic11—22no—
687C2×Dic11—24no—
688C2×Dic11—22no—
689C2×Dic11—28no—
690C2×Dic11—48no—
691C2×Dic11C22×D414yes—
692C2×Dic11C2512yes—
693C2×Dic11C2512yes—
694C2×Dic11C2514yes—
695C2×Dic11C2512yes—
696C2×Dic11C2514yes—
697C2×Dic11C2512yes—
698C2×Dic11C2512yes—
699D44—28no—
700D44—216no—
701D44—216no—
702D44—216no—
703D44—216no—
704D44—28no—
705D44—48no—
706D44—44no—
707D44C22×D4116yes—
708C4×D11—28no—
709C4×D11—216no—
710C4×D11—216no—
711C4×D11—216no—
712C4×D11—216no—
713C4×D11—28no—
714C4×D11—28no—
715C4×D11—28no—
716C4×D11—216no—
717C4×D11—48no—
718C4×D11—48no—
719C4×D11C22×D4116yes—
720Dic22—28no—
721Dic22—28no—
722Dic22—216no—
723C2×H(5,𝔽2)—1116no—
724C2×H(5,𝔽2)—2216no—
725C22×#41—1116no—
726C22×#41—111no—
727C22×#41—111no—
728C22×#41—111no—
729C22×#41—111no—
730C22×#41—112no—
731C22×#41—111no—
732C22×#41—112no—
733C22×#41—111no—
734C22×#41—112no—
735C22×#41—2216no—
736C22×#41C2×D1111yescharacteristic, complemented
737C22×#41C2×D1111yescharacteristic, complemented
738C23×Q8—111no—
739C23×D4—111no—
740C23×D4—112no—
741C23×D4—112no—
742C23×D4—112no—
743C23×D4—111no—
744C23×D4—112no—
745C23×D4—111no—
746C24×C4—112no—
747C24×C4—111no—
748#547—1116no—
749#547—1116no—
750#547—1132no—
751#547—1116no—
752#547—1132no—
753#547C2×D11116yescomplemented
754#546—1116no—
755#546—1132no—
756#546—1116no—
757#546—1132no—
758#546—1116no—
759#546—1116no—
760#536—1116no—
761#536—1116no—
762#534—1132no—
763#534—1132no—
764C2×C4⋊Q8—111no—
765C2×C4⋊Q8—112no—
766C2×C4⋊Q8C2×D1111yescharacteristic, complemented
767C2×#124—111no—
768C2×#124—112no—
769C2×#124—111no—
770#525—1116no—
771#525—1116no—
772C2×#123—112no—
773C2×#123—112no—
774C2×#123—112no—
775C2×#123—1132no—
776C2×#123—112no—
777C2×#123—111no—
778C2×#123—112no—
779C2×#123—112no—
780C2×#123—112no—
781C2×#123—112no—
782C2×#123—112no—
783C2×#123—112no—
784C2×#123—112no—
785C2×#123—112no—
786C2×#123—1132no—
787C2×#123—111no—
788C2×#123—112no—
789C2×#123—112no—
790C2×#123—112no—
791C2×#123C2×D1112yescomplemented
792C2×#123C2×D1112yescomplemented
793C2×C22⋊Q8—111no—
794C2×C22⋊Q8—111no—
795C2×C22⋊Q8—111no—
796C2×C22⋊Q8—111no—
797C2×C22⋊Q8—112no—
798C2×C22⋊Q8—112no—
799C2×C22⋊Q8—111no—
800C2×C22⋊Q8—111no—
801C2×C22⋊Q8C2×D1111yescharacteristic, complemented
802C2×C22⋊Q8C2×D1111yescharacteristic, complemented
803C2×#121—111no—
804C2×#121—112no—
805C2×#121—112no—
806C2×#121—111no—
807C2×#121—112no—
808C2×#121—111no—
809C2×#121—112no—
810C2×#121—112no—
811C2×#121—111no—
812C2×#121—112no—
813C2×#121—112no—
814C2×#121C2×D1112yescomplemented
815C2×#120—111no—
816C2×#120—112no—
817C2×#120—112no—
818C2×#120—112no—
819C2×#120—111no—
820C2×#120—112no—
821C2×#120—112no—
822#518—1116no—
823C2×C4×D4—111no—
824C2×C4×D4—112no—
825C2×C4×D4—111no—
826C2×C4×D4—111no—
827C2×C4×D4—111no—
828C2×C4×D4—112no—
829C2×C4×D4—112no—
830C2×C4×D4—112no—
831C2×C4×D4—111no—
832C2×C4×D4—111no—
833C2×C4×D4C2×D1111yescharacteristic, complemented
834C2×C4×D4C2×D1111yescharacteristic, complemented
835C2×#117—111no—
836C2×#117—111no—
837C22×C4⋊C4—112no—
838C22×C4⋊C4—112no—
839C22×C4⋊C4—112no—
840C22×C4⋊C4C2×D1112yescomplemented
841C22×C22⋊C4—112no—
842C22×C22⋊C4—112no—
843C22×C22⋊C4—112no—
844C22×C22⋊C4—112no—
845C22×C22⋊C4—112no—
846C22×C22⋊C4—112no—
847C22×C11—24no—
848C22×C11—24no—
849C22×C11—216no—
850C22×C11—22no—
851C22×C11—22no—
852C22×C11—22no—
853C22×C11—22no—
854C22×C11—22no—
855C22×C11—22no—
856C22×C11—44no—
857C22×C11—44no—
858C22×C11C23×D418yes—
859C22×C11C23×D412yes—
860C22×C11#58512yes—
861C22×C11#58512yes—
862C22×C11C2611yescharacteristic
863C2×D11—22no—
864C2×D11—22no—
865C2×D11—24no—
866C2×D11—24no—
867C2×D11—28no—
868C2×D11—216no—
869C2×D11—22no—
870C2×D11—24no—
871C2×D11—22no—
872C2×D11—24no—
873C2×D11—22no—
874C2×D11—22no—
875C2×D11—24no—
876C2×D11—22no—
877C2×D11—22no—
878C2×D11—432no—
879C2×D11—416no—
880C2×D11—44no—
881C2×D11—48no—
882C2×D11—44no—
883C2×D11—816no—
884C2×D11—816no—
885C2×D11C23×D414yes—
886C2×D11C23×D418yes—
887C4×C11—22no—
888C4×C11—22no—
889C4×C11—24no—
890C4×C11—24no—
891C4×C11—22no—
892C4×C11—24no—
893C4×C11—22no—
894C4×C11C23×D414yes—
895Dic11—24no—
896Dic11—22no—
897Dic11—22no—
898Dic11—22no—
899Dic11—24no—
900Dic11—22no—
901Dic11C23×D414yes—
902C25—112no—
903C25—112no—
904C25—112no—
905C25—111no—
906H(5,𝔽2)—22128no—
907C2×#41—28no—
908C2×#41—28no—
909C2×#41—118no—
910C2×#41—118no—
911C2×#41—118no—
912C2×#41—118no—
913C2×#41—1116no—
914C2×#41—118no—
915C2×#41—118no—
916C2×#41—1116no—
917C2×#41—1116no—
918C2×#41—228no—
919C2×#41—2216no—
920C2×#41—228no—
921C2×#41—2216no—
922C2×#41—228no—
923C2×#41—2216no—
924C2×#41—228no—
925C2×#41—228no—
926C2×#41—22128no—
927C2×#41—228no—
928C2×#41C22×D1118yescomplemented
929C2×#41C22×D1118yescomplemented
930C22×Q8—118no—
931C22×Q8—112no—
932C22×Q8—111no—
933C22×Q8—111no—
934C22×Q8—228no—
935C22×Q8C22×D1111yescharacteristic
936C22×Q8C22×D1111yescharacteristic
937C22×D4—112no—
938C22×D4—1116no—
939C22×D4—118no—
940C22×D4—112no—
941C22×D4—112no—
942C22×D4—111no—
943C22×D4—112no—
944C22×D4—111no—
945C22×D4—111no—
946C22×D4—112no—
947C22×D4—111no—
948C22×D4—1116no—
949C22×D4—1116no—
950C22×D4—1116no—
951C22×D4—118no—
952C22×D4—111no—
953C22×D4—112no—
954C22×D4—112no—
955C22×D4—111no—
956C22×D4—112no—
957C22×D4—112no—
958C22×D4—111no—
959C22×D4—1116no—
960C22×D4—118no—
961C22×D4—112no—
962C22×D4—111no—
963C22×D4—228no—
964C22×D4—2216no—
965C22×D4—2216no—
966C22×D4—2216no—
967C22×D4—2216no—
968C22×D4—228no—
969C22×D4C22×D1112yes—
970C22×D4C22×D1112yes—
971C22×D4C22×D1111yescharacteristic
972C22×D4C22×D1111yescharacteristic
973C23×C4—111no—
974C23×C4—112no—
975C23×C4—111no—
976C23×C4—112no—
977C23×C4—112no—
978C23×C4—112no—
979C23×C4—112no—
980C23×C4—111no—
981C23×C4—111no—
982C23×C4—112no—
983C23×C4—111no—
984C23×C4—111no—
985C23×C4—112no—
986C23×C4—1116no—
987C23×C4—118no—
988C23×C4—112no—
989C23×C4—112no—
990C23×C4—228no—
991C23×C4—2216no—
992C23×C4C22×D1112yes—
993C23×C4C22×D1112yes—
994C23×C4C22×D1111yescharacteristic
995C23×C4C22×D1111yescharacteristic
996C23×C4C22×D1112yes—
997C4⋊Q8—118no—
998C4⋊Q8—1116no—
999C4⋊Q8C22×D1118yescomplemented
1000#124—118no—
1001#124—1116no—
1002#124—118no—
1003#123—1116no—
1004#123—1116no—
1005#123—1116no—
1006#123—1116no—
1007#123—118no—
1008#123—1116no—
1009#123—1116no—
1010#123—1116no—
1011#123—1116no—
1012#123—1116no—
1013#123—1116no—
1014#123—1116no—
1015#123—1116no—
1016#123—118no—
1017#123—1116no—
1018#123—1116no—
1019#123—1116no—
1020#123C22×D11116yescomplemented
1021#123C22×D11116yescomplemented
1022C22⋊Q8—118no—
1023C22⋊Q8—118no—
1024C22⋊Q8—118no—
1025C22⋊Q8—118no—
1026C22⋊Q8—1116no—
1027C22⋊Q8—1116no—
1028C22⋊Q8—118no—
1029C22⋊Q8—118no—
1030C22⋊Q8C22×D1118yescomplemented
1031C22⋊Q8C22×D1118yescomplemented
1032#121—118no—
1033#121—1116no—
1034#121—1116no—
1035#121—118no—
1036#121—1116no—
1037#121—118no—
1038#121—1116no—
1039#121—1116no—
1040#121—118no—
1041#121—1116no—
1042#121—1116no—
1043#121C22×D11116yescomplemented
1044#120—118no—
1045#120—1116no—
1046#120—1116no—
1047#120—1116no—
1048#120—118no—
1049#120—1116no—
1050#120—1116no—
1051C4×D4—118no—
1052C4×D4—1116no—
1053C4×D4—118no—
1054C4×D4—118no—
1055C4×D4—118no—
1056C4×D4—1116no—
1057C4×D4—1116no—
1058C4×D4—1116no—
1059C4×D4—118no—
1060C4×D4—118no—
1061C4×D4C22×D1118yescomplemented
1062C4×D4C22×D1118yescomplemented
1063#117—118no—
1064#117—118no—
1065C2×C4⋊C4—112no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—112no—
1070C2×C4⋊C4—112no—
1071C2×C4⋊C4—112no—
1072C2×C4⋊C4—112no—
1073C2×C4⋊C4—112no—
1074C2×C4⋊C4—1116no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—1116no—
1079C2×C4⋊C4—1116no—
1080C2×C4⋊C4C22×D1112yes—
1081C2×C4⋊C4C22×D1112yes—
1082C2×C4⋊C4C22×D1111yescharacteristic
1083C2×C4⋊C4C22×D1112yes—
1084C2×C4⋊C4C22×D1112yes—
1085C2×C4⋊C4C22×D1111yescharacteristic
1086C2×C4⋊C4C22×D11116yescomplemented
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—112no—
1089C2×C22⋊C4—112no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—112no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—112no—
1096C2×C22⋊C4—112no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—112no—
1099C2×C22⋊C4—112no—
1100C2×C22⋊C4—1116no—
1101C2×C22⋊C4—112no—
1102C2×C22⋊C4—112no—
1103C2×C22⋊C4—112no—
1104C2×C22⋊C4—112no—
1105C2×C22⋊C4—112no—
1106C2×C22⋊C4—112no—
1107C2×C22⋊C4—1116no—
1108C2×C22⋊C4—1116no—
1109C2×C22⋊C4—112no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—1116no—
1113C2×C22⋊C4—1116no—
1114C2×C22⋊C4—1116no—
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C22⋊C4C22×D1112yes—
1117C2×C22⋊C4C22×D1112yes—
1118C2×C22⋊C4C22×D1112yes—
1119C2×C22⋊C4C22×D1111yescharacteristic
1120C2×C42—112no—
1121C2×C42—111no—
1122C2×C42C22×D1111yescharacteristic
1123C2×C11—28no—
1124C2×C11—42no—
1125C2×C11—42no—
1126C2×C11#348514yescomplemented
1127C2×C11C24×D411yescharacteristic
1128C2×C11C2×#58511yescharacteristic
1129C2×C11C2×#58511yescharacteristic
1130D11—24no—
1131D11—28no—
1132D11—42no—
1133D11—44no—
1134D11—42no—
1135C24—111no—
1136C24—112no—
1137C24—1116no—
1138C24—118no—
1139C24—112no—
1140C24—111no—
1141C24—111no—
1142C24—118no—
1143C24—118no—
1144C24—114no—
1145C24—224no—
1146C24—228no—
1147C24—228no—
1148C24—444no—
1149C24—444no—
1150C24—442no—
1151C24—442no—
1152C24—444no—
1153C24—444no—
1154C24—444no—
1155C24—444no—
1156C24C23×D1111yescharacteristic
1157C24C23×D1111yescharacteristic
1158C24C23×D1112yes—
1159#41—232no—
1160#41—232no—
1161#41—2232no—
1162#41—2264no—
1163#41—2232no—
1164#41—2264no—
1165#41—2232no—
1166#41—2264no—
1167#41—2232no—
1168#41—2232no—
1169#41—2232no—
1170C2×Q8—24no—
1171C2×Q8—24no—
1172C2×Q8—118no—
1173C2×Q8—114no—
1174C2×Q8—114no—
1175C2×Q8—228no—
1176C2×Q8—224no—
1177C2×Q8—2232no—
1178C2×Q8—224no—
1179C2×Q8C23×D1114yes—
1180C2×Q8C23×D1114yes—
1181C2×D4—28no—
1182C2×D4—28no—
1183C2×D4—42no—
1184C2×D4—1116no—
1185C2×D4—118no—
1186C2×D4—1164no—
1187C2×D4—118no—
1188C2×D4—118no—
1189C2×D4—114no—
1190C2×D4—118no—
1191C2×D4—114no—
1192C2×D4—114no—
1193C2×D4—118no—
1194C2×D4—114no—
1195C2×D4—118no—
1196C2×D4—114no—
1197C2×D4—118no—
1198C2×D4—118no—
1199C2×D4—114no—
1200C2×D4—118no—
1201C2×D4—118no—
1202C2×D4—114no—
1203C2×D4—118no—
1204C2×D4—114no—
1205C2×D4—2232no—
1206C2×D4—224no—
1207C2×D4—228no—
1208C2×D4—228no—
1209C2×D4—228no—
1210C2×D4—228no—
1211C2×D4—2264no—
1212C2×D4—224no—
1213C2×D4—2264no—
1214C2×D4—2264no—
1215C2×D4—2264no—
1216C2×D4—224no—
1217C2×D4—228no—
1218C2×D4—228no—
1219C2×D4—228no—
1220C2×D4—2232no—
1221C2×D4—224no—
1222C2×D4—444no—
1223C2×D4—442no—
1224C2×D4—442no—
1225C2×D4—444no—
1226C2×D4—442no—
1227C2×D4D4×D1118yes—
1228C2×D4C23×D1118yes—
1229C2×D4C23×D1118yes—
1230C2×D4C23×D1114yes—
1231C2×D4C23×D1114yes—
1232C22×C4—28no—
1233C22×C4—28no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—44no—
1237C22×C4—111no—
1238C22×C4—118no—
1239C22×C4—114no—
1240C22×C4—118no—
1241C22×C4—114no—
1242C22×C4—111no—
1243C22×C4—112no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—112no—
1247C22×C4—111no—
1248C22×C4—118no—
1249C22×C4—118no—
1250C22×C4—118no—
1251C22×C4—118no—
1252C22×C4—114no—
1253C22×C4—114no—
1254C22×C4—118no—
1255C22×C4—114no—
1256C22×C4—114no—
1257C22×C4—118no—
1258C22×C4—118no—
1259C22×C4—118no—
1260C22×C4—224no—
1261C22×C4—2232no—
1262C22×C4—228no—
1263C22×C4—224no—
1264C22×C4—228no—
1265C22×C4—228no—
1266C22×C4—228no—
1267C22×C4—2264no—
1268C22×C4—228no—
1269C22×C4—224no—
1270C22×C4—228no—
1271C22×C4—224no—
1272C22×C4—224no—
1273C22×C4—444no—
1274C22×C4—444no—
1275C22×C4—444no—
1276C22×C4C23×D1118yes—
1277C22×C4C23×D1118yes—
1278C22×C4C23×D1114yes—
1279C22×C4C23×D1114yes—
1280C22×C4C23×D1112yes—
1281C22×C4C23×D1111yescharacteristic
1282C22×C4C23×D1111yescharacteristic
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1112yes—
1285C22×C4C23×D1112yes—
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1118yes—
1288C22×C4C23×D1111yescharacteristic
1289C4⋊C4—118no—
1290C4⋊C4—114no—
1291C4⋊C4—114no—
1292C4⋊C4—114no—
1293C4⋊C4—118no—
1294C4⋊C4—118no—
1295C4⋊C4—118no—
1296C4⋊C4—118no—
1297C4⋊C4—118no—
1298C4⋊C4—114no—
1299C4⋊C4—114no—
1300C4⋊C4—114no—
1301C4⋊C4C23×D1118yes—
1302C4⋊C4C23×D1118yes—
1303C4⋊C4C23×D1114yes—
1304C4⋊C4C23×D1118yes—
1305C4⋊C4C23×D1118yes—
1306C4⋊C4C23×D1114yes—
1307C22⋊C4—114no—
1308C22⋊C4—118no—
1309C22⋊C4—118no—
1310C22⋊C4—114no—
1311C22⋊C4—118no—
1312C22⋊C4—114no—
1313C22⋊C4—114no—
1314C22⋊C4—114no—
1315C22⋊C4—118no—
1316C22⋊C4—118no—
1317C22⋊C4—114no—
1318C22⋊C4—118no—
1319C22⋊C4—118no—
1320C22⋊C4—118no—
1321C22⋊C4—118no—
1322C22⋊C4—118no—
1323C22⋊C4—118no—
1324C22⋊C4—118no—
1325C22⋊C4—118no—
1326C22⋊C4—118no—
1327C22⋊C4—114no—
1328C22⋊C4—114no—
1329C22⋊C4C23×D1114yes—
1330C22⋊C4C23×D1118yes—
1331C22⋊C4C23×D1118yes—
1332C22⋊C4C23×D1118yes—
1333C22⋊C4C23×D1114yes—
1334C42—118no—
1335C42—114no—
1336C42C23×D1114yes—
1337C11C2×#348511yescharacteristic, complemented, Sylow
1338C23—24no—
1339C23—24no—
1340C23—22no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—114no—
1347C23—118no—
1348C23—112no—
1349C23—114no—
1350C23—1132no—
1351C23—114no—
1352C23—112no—
1353C23—112no—
1354C23—228no—
1355C23—2216no—
1356C23—224no—
1357C23—222no—
1358C23—224no—
1359C23—222no—
1360C23—222no—
1361C23—224no—
1362C23—222no—
1363C23—222no—
1364C23—224no—
1365C23—222no—
1366C23—222no—
1367C23—222no—
1368C23—224no—
1369C23—2216no—
1370C23—448no—
1371C23—448no—
1372C23—4432no—
1373C23—444no—
1374C23—444no—
1375C23—448no—
1376C23—448no—
1377C23—448no—
1378C23—448no—
1379C23—4416no—
1380C23—8816no—
1381C23—8816no—
1382C23C2×D4×D1118yes—
1383C23C24×D1112yes—
1384C23C24×D1112yes—
1385C23C24×D1114yes—
1386C23C24×D1111yescharacteristic
1387Q8—28no—
1388Q8—28no—
1389Q8—2216no—
1390Q8—228no—
1391Q8—228no—
1392D4—216no—
1393D4—216no—
1394D4—44no—
1395D4—1132no—
1396D4—1116no—
1397D4—228no—
1398D4—2216no—
1399D4—2216no—
1400D4—2216no—
1401D4—2216no—
1402D4—228no—
1403D4—228no—
1404D4—2216no—
1405D4—2216no—
1406D4—2216no—
1407D4—228no—
1408D4—448no—
1409D4—444no—
1410D4—444no—
1411D4—448no—
1412D4—444no—
1413D4C2×D4×D11116yes—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—24no—
1418C2×C4—216no—
1419C2×C4—216no—
1420C2×C4—22no—
1421C2×C4—24no—
1422C2×C4—22no—
1423C2×C4—28no—
1424C2×C4—28no—
1425C2×C4—48no—
1426C2×C4—114no—
1427C2×C4—112no—
1428C2×C4—1116no—
1429C2×C4—112no—
1430C2×C4—114no—
1431C2×C4—112no—
1432C2×C4—112no—
1433C2×C4—114no—
1434C2×C4—112no—
1435C2×C4—228no—
1436C2×C4—2216no—
1437C2×C4—228no—
1438C2×C4—2216no—
1439C2×C4—2216no—
1440C2×C4—2216no—
1441C2×C4—2216no—
1442C2×C4—228no—
1443C2×C4—222no—
1444C2×C4—222no—
1445C2×C4—224no—
1446C2×C4—2216no—
1447C2×C4—222no—
1448C2×C4—224no—
1449C2×C4—222no—
1450C2×C4—228no—
1451C2×C4—228no—
1452C2×C4—448no—
1453C2×C4—448no—
1454C2×C4—448no—
1455C2×C4C2×D4×D1114yes—
1456C2×C4C24×D1114yes—
1457C2×C4C24×D1112yes—
1458C2×C4C24×D1112yes—
1459C2×C4C24×D1112yes—
1460C2×C4C24×D1114yes—
1461C2×C4C24×D1114yes—
1462C2×C4C24×D1112yes—
1463C2×C4C24×D1112yes—
1464C22—24no—
1465C22—24no—
1466C22—216no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—22no—
1473C22—44no—
1474C22—44no—
1475C22—114no—
1476C22—118no—
1477C22—224no—
1478C22—222no—
1479C22—224no—
1480C22—222no—
1481C22—228no—
1482C22—2216no—
1483C22—222no—
1484C22—224no—
1485C22—222no—
1486C22—222no—
1487C22—224no—
1488C22—222no—
1489C22—222no—
1490C22—222no—
1491C22—224no—
1492C22—4432no—
1493C22—4416no—
1494C22—444no—
1495C22—444no—
1496C22—448no—
1497C22—8816no—
1498C22—8816no—
1499C22C22×D4×D1118yes—
1500C22C22×D4×D1112yes—
1501C22#1062345312yes—
1502C22#1062345712yes—
1503C22C25×D1111yescharacteristic
1504C4—22no—
1505C4—22no—
1506C4—24no—
1507C4—24no—
1508C4—22no—
1509C4—24no—
1510C4—22no—
1511C4—114no—
1512C4—222no—
1513C4—222no—
1514C4—224no—
1515C4—222no—
1516C4—224no—
1517C4—222no—
1518C4C22×D4×D1114yes—
1519C2—28no—
1520C2—42no—
1521C2—42no—
1522C2—224no—
1523C2—228no—
1524C2—442no—
1525C2—442no—
1526C2—444no—
1527C2#1308225514yesdirect product factor
1528C2C23×D4×D1111yescharacteristic
1529C2C2×#1062345311yescharacteristic
1530C2C2×#1062345711yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#547C2
socleC23×C11C25
hypercenterC2×#547D11
hypocenterC11C2×#3485
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#547

Complements

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

NH ≅ G/Ntype
1. C22×#67042C2semidirect
2. C22×#41×D11C2semidirect
3. #13082255C2direct (N × H)
4. C2×#10623257C2semidirect
5. C2×#10623162C2semidirect
6. C2×#10623038C2semidirect
7. C2×#10623355C2semidirect
8. C2×#10623186C2semidirect
9. C2×#10623081C2semidirect
10. C2×#10623085C2semidirect
11. C2×#10623185C2semidirect
12. C2×#10623161C2semidirect
13. C2×#10623141C2semidirect
14. C2×#10623360C2semidirect
15. C2×#10623255C2semidirect
16. C2×#10623159C2semidirect
17. C2×#10623184C2semidirect
18. C2×#10623136C2semidirect
19. C2×#10623158C2semidirect
20. C2×#10623078C2semidirect
21. C22×#66947C2semidirect
22. C2×D11×#123C2semidirect
23. C2×#10623076C2semidirect
24. C2×C11×#547C2semidirect
25. C22×C11×#41C22semidirect
26. C22×C11×#41C22semidirect
28. C2×#67042C22semidirect
30. C2×#41×D11C22semidirect
32. C22×#4343C22semidirect
33. C22×#4343C22semidirect
34. C22×Q8×D11C22semidirect
35. C22×#4341C22semidirect
36. C22×#4341C22semidirect
39. C22×D4×D11C22semidirect
40. C22×D4×D11C22semidirect
41. C22×D4×D11C22semidirect
43. C22×#4339C22semidirect
44. C22×#4339C22semidirect
45. C22×#4339C22semidirect
47. C23×D44C22semidirect
48. C23×C4×D11C22semidirect
49. C23×C4×D11C22semidirect
50. C11×#547C22semidirect
51. C2×C11×C4⋊Q8C22semidirect
52. C2×C11×#123C22semidirect
53. C2×C11×#123C22semidirect
54. C2×C11×C22⋊Q8C22semidirect
55. C2×C11×C22⋊Q8C22semidirect
56. C2×C11×#121C22semidirect
57. C2×C4×D4×C11C22semidirect
58. C2×C4×D4×C11C22semidirect
59. C22×C11×C4⋊C4C22semidirect
60. #10623360C22semidirect
61. #10623355C22semidirect
62. C2×#67000C22semidirect
63. C2×#66999C22semidirect
64. C2×#66999C22semidirect
65. C2×#66997C22semidirect
66. C2×#66992C22semidirect
67. C2×#66992C22semidirect
68. C2×#66992C22semidirect
69. C2×#66990C22semidirect
70. C2×#66990C22semidirect
71. C2×#66990C22semidirect
72. C2×#66988C22semidirect
73. C2×D4×Dic11C22semidirect
74. C2×#66983C22semidirect
75. C2×#66983C22semidirect
76. C2×#66982C22semidirect
77. C2×#66982C22semidirect
78. C2×C4×C22⋊D11C22semidirect
79. C2×C4×C22⋊D11C22semidirect
80. C2×C4×C22⋊D11C22semidirect
81. C22×(C2×D11)⋊C4C22semidirect
82. C22×(C2×D11)⋊C4C22semidirect
83. C22×(C2×D11)⋊C4C22semidirect
84. C2×#66977C22semidirect
85. C22×Dic11⋊C4C22semidirect
86. #10623257C22semidirect
87. #10623255C22semidirect
88. #10623186C22semidirect
89. #10623185C22semidirect
90. #10623184C22semidirect
91. D11×#123C22semidirect
92. #10623162C22semidirect
93. #10623161C22semidirect
94. #10623159C22semidirect
95. #10623158C22semidirect
96. #10623141C22semidirect
97. #10623136C22semidirect
98. #10623085C22semidirect
99. #10623081C22semidirect
100. #10623078C22semidirect
101. #10623076C22semidirect
102. C2×#66950C22semidirect
103. C2×#66949C22semidirect
104. C2×#66949C22semidirect
105. C2×#66949C22semidirect
106. #10623038C22semidirect
107. C2×#66948C22semidirect
108. C2×#66948C22semidirect
109. C2×#66948C22semidirect
110. C2×#66947C22semidirect
111. C2×#66947C22semidirect
112. C2×#66947C22semidirect
113. C2×#66947C22semidirect
114. C2×#66947C22semidirect
115. C2×#66947C22semidirect
116. C2×#66947C22semidirect
117. C2×#66947C22semidirect
118. C2×#66947C22semidirect
119. C2×#66947C22semidirect
120. C2×#66947C22semidirect
121. C2×#66946C22semidirect
122. C2×#66946C22semidirect
123. C2×#66945C22semidirect
124. C2×C4⋊C4×D11C22semidirect
125. C2×C4⋊C4×D11C22semidirect
126. C2×#66941C22semidirect
127. C2×#66939C22semidirect
128. C2×#66938C22semidirect
129. C2×#66937C22semidirect
130. C2×#66937C22semidirect
131. C2×#66937C22semidirect
132. C2×#66936C22semidirect
133. C2×#66936C22semidirect
134. C2×#66936C22semidirect
135. C2×#66935C22semidirect
136. C2×#66935C22semidirect
137. C2×#66935C22semidirect
138. C2×#66935C22semidirect
139. C2×(C22⋊D11)⋊C4C22semidirect
140. C2×(C22⋊D11)⋊C4C22semidirect
141. C2×C22⋊C4×D11C22semidirect
142. C2×C22⋊C4×D11C22semidirect
143. C2×C22⋊C4×D11C22semidirect
144. C2×#66931C22semidirect
145. C2×#66928C22semidirect
146. C2×C4×D44C22semidirect
147. C2×C4×D44C22semidirect
148. C2×#66925C22semidirect
155. C2×C11×#41C23semidirect
156. C2×C11×#41C23semidirect
186. C2×#4343C23semidirect
187. C2×#4343C23semidirect
189. C2×Q8×D11C23semidirect
192. C2×#4341C23semidirect
193. C2×#4341C23semidirect
198. C2×D4×D11D4semidirect
201. C2×D4×D11C23semidirect
202. C2×D4×D11C23semidirect
203. C2×D4×D11C23semidirect
209. C2×#4339C23semidirect
210. C2×#4339C23semidirect
211. C2×#4339C23semidirect
224. C22×D44C23semidirect
239. C22×C4×D11C23semidirect
240. C22×C4×D11C23semidirect
244. C11×C4⋊Q8C23semidirect
245. C11×#123C23semidirect
246. C11×#123C23semidirect
247. C11×C22⋊Q8C23semidirect
248. C11×C22⋊Q8C23semidirect
249. C11×#121C23semidirect
250. C4×D4×C11C23semidirect
251. C4×D4×C11C23semidirect
258. C2×C11×C4⋊C4C23semidirect
269. #67000C23semidirect
270. #66999C23semidirect
271. #66999C23semidirect
272. #66997C23semidirect
273. #66992C23semidirect
274. #66992C23semidirect
275. #66992C23semidirect
276. #66990C23semidirect
277. #66990C23semidirect
278. #66990C23semidirect
279. #66988C23semidirect
280. D4×Dic11C23semidirect
281. #66983C23semidirect
282. #66983C23semidirect
283. #66982C23semidirect
284. #66982C23semidirect
285. C4×C22⋊D11C23semidirect
286. C4×C22⋊D11C23semidirect
287. C4×C22⋊D11C23semidirect
306. C2×(C2×D11)⋊C4C23semidirect
307. C2×(C2×D11)⋊C4C23semidirect
308. C2×(C2×D11)⋊C4C23semidirect
312. #66977C23semidirect
322. C2×Dic11⋊C4C23semidirect
325. #66950C23semidirect
326. #66949C23semidirect
327. #66949C23semidirect
328. #66949C23semidirect
329. #66948C23semidirect
330. #66948C23semidirect
331. #66948C23semidirect
332. #66947C23semidirect
333. #66947C23semidirect
334. #66947C23semidirect
335. #66947C23semidirect
336. #66947C23semidirect
337. #66947C23semidirect
338. #66947C23semidirect
339. #66947C23semidirect
340. #66947C23semidirect
341. #66947C23semidirect
342. #66946C23semidirect
343. #66946C23semidirect
344. #66945C23semidirect
345. C4⋊C4×D11C23semidirect
346. C4⋊C4×D11C23semidirect
347. #66941C23semidirect
348. #66939C23semidirect
349. #66938C23semidirect
350. #66937C23semidirect
351. #66937C23semidirect
352. #66937C23semidirect
353. #66936C23semidirect
354. #66936C23semidirect
355. #66936C23semidirect
356. #66935C23semidirect
357. #66935C23semidirect
358. #66935C23semidirect
359. #66935C23semidirect
360. (C22⋊D11)⋊C4C23semidirect
361. (C22⋊D11)⋊C4C23semidirect
362. C22⋊C4×D11C23semidirect
363. C22⋊C4×D11C23semidirect
364. C22⋊C4×D11C23semidirect
365. #66931C23semidirect
366. #66928C23semidirect
367. C4×D44C23semidirect
368. C4×D44C23semidirect
369. #66925C23semidirect
468. D4×D11C2×D4semidirect
581. C2×#547D11semidirect
736. C22×#41C2×D11semidirect
737. C22×#41C2×D11semidirect
753. #547C2×D11semidirect
766. C2×C4⋊Q8C2×D11semidirect
791. C2×#123C2×D11semidirect
792. C2×#123C2×D11semidirect
801. C2×C22⋊Q8C2×D11semidirect
802. C2×C22⋊Q8C2×D11semidirect
814. C2×#121C2×D11semidirect
833. C2×C4×D4C2×D11semidirect
834. C2×C4×D4C2×D11semidirect
840. C22×C4⋊C4C2×D11semidirect
928. C2×#41C22×D11semidirect
929. C2×#41C22×D11semidirect
999. C4⋊Q8C22×D11semidirect
1020. #123C22×D11semidirect
1021. #123C22×D11semidirect
1030. C22⋊Q8C22×D11semidirect
1031. C22⋊Q8C22×D11semidirect
1043. #121C22×D11semidirect
1061. C4×D4C22×D11semidirect
1062. C4×D4C22×D11semidirect
1086. C2×C4⋊C4C22×D11semidirect
1126. C2×C11#3485semidirect
1337. C11C2×#3485semidirect
1527. C2#13082255direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#670422
C22×#41×D112
#130822552
C2×#106232572
C2×#106231622
C2×#106230382
C2×#106233552
C2×#106231862
C2×#106230812
C2×#106230852
C2×#106231852
C2×#106231612
C2×#106231412
C2×#106233602
C2×#106232552
C2×#106231592
C2×#106231842
C2×#106231362
C2×#106231582
C2×#106230782
C22×#669472
C2×D11×#1232
C2×#106230762
C2×C11×#5472
C2×#348511