Finite Group Databasebeta

← #14960797

Subgroups — #14960797

Order 2816.

2602 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623191C211yesmaximal, characteristic, complemented
2C2×D11×#123C211yesmaximal, characteristic, complemented
3#13076902C211yesmaximal, characteristic, complemented
4#13076895C211yesmaximal, characteristic, complemented
5#13075325C211yesmaximal, characteristic, complemented
6#13075323C211yesmaximal, characteristic, complemented
7#13075317C211yesmaximal, characteristic, complemented
8#13075315C211yesmaximal, characteristic, complemented
9#13075296C211yesmaximal, characteristic, complemented
10#13075294C211yesmaximal, characteristic, complemented
11#13075284C211yesmaximal, characteristic, complemented
12#13075282C211yesmaximal, characteristic, complemented
13#13074983C211yesmaximal, characteristic, complemented
14#13074981C211yesmaximal, characteristic, complemented
15#13074977C211yesmaximal, characteristic, complemented
16#13074974C211yesmaximal, characteristic, complemented
17#13074969C211yesmaximal, characteristic, complemented
18#13074965C211yesmaximal, characteristic, complemented
19#13074962C211yesmaximal, characteristic, complemented
20#13074426C211yesmaximal, characteristic, complemented
21#13074349C211yesmaximal, characteristic, complemented
22#13073961C211yesmaximal, characteristic, complemented
23#13073958C211yesmaximal, characteristic, complemented
24#13071998C211yesmaximal, characteristic, complemented
25#13071998C211yesmaximal, characteristic, complemented
26#13071994C211yesmaximal, characteristic, complemented
27#13071994C211yesmaximal, characteristic, complemented
28#13071968C211yesmaximal, characteristic, complemented
29#13071965C211yesmaximal, characteristic, complemented
30#13071231C211yesmaximal, characteristic, complemented
31C11×#2682C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×C11×#123C2211yescharacteristic, complemented
36C2×C11×#121C2211yescharacteristic
37C2×C11×#121C2211yescharacteristic, complemented
38C2×#66992C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66991C2211yescharacteristic
41C2×#66991C2211yescharacteristic, complemented
42C2×#66990C2211yescharacteristic
43C2×#66990C2211yescharacteristic
44C2×#66990C2211yescharacteristic
45C2×#66990C2211yescharacteristic
46C2×#66988C2211yescharacteristic
47C2×#66988C2211yescharacteristic, complemented
48C2×#66983C2211yescharacteristic
49C2×#66982C2211yescharacteristic
50C2×C4×C22⋊D11C2211yescharacteristic
51C2×#66977C2211yescharacteristic, complemented
52#10623191—28no—
53D11×#123—28no—
54C2×#66949C2211yescharacteristic
55C2×#66949C2211yescharacteristic, complemented
56C2×#66947C2211yescharacteristic
57C2×#66947C2211yescharacteristic
58C2×#66945C2211yescharacteristic
59C2×C4⋊C4×D11C2211yescharacteristic
60C2×C4⋊C4×D11C2211yescharacteristic
61C2×#66943C2211yescharacteristic, complemented
62C2×#66942C2211yescharacteristic, complemented
63C2×#66939C2211yescharacteristic
64C2×#66936C2211yescharacteristic
65C2×#66936C2211yescharacteristic
66C2×#66936C2211yescharacteristic
67C2×#66936C2211yescharacteristic
68C2×(C22⋊D11)⋊C4C2211yescharacteristic
69C2×C22⋊C4×D11C2211yescharacteristic
70C2×C22⋊C4×D11C2211yescharacteristic
71C2×C22⋊C4×D11C2211yescharacteristic
72C2×#66932C2211yescharacteristic, complemented
73C2×#66932C2211yescharacteristic, complemented
74C2×#66931C2211yescharacteristic, complemented
75C2×#66931C2211yescharacteristic, complemented
76C2×#66925C2211yescharacteristic
77C11×#396C2211yescharacteristic, complemented
78C11×#396C2211yescharacteristic, complemented
79C11×#394C2211yescharacteristic, complemented
80C11×#394C2211yescharacteristic, complemented
81C11×#392C2211yescharacteristic
82C11×#392C2211yescharacteristic, complemented
83C11×#390C2211yescharacteristic, complemented
84C11×#390C2211yescharacteristic, complemented
85C11×#389C2211yescharacteristic, complemented
86C11×#385C2211yescharacteristic, complemented
87C11×#385C2211yescharacteristic, complemented
88#10622836C2211yescharacteristic
89#10622836C2211yescharacteristic
90#10622836C2211yescharacteristic, complemented
91#10622835C2211yescharacteristic
92#10622835C2211yescharacteristic, complemented
93#10622835C2211yescharacteristic, complemented
94#10622835C2211yescharacteristic, complemented
95#10622835C2211yescharacteristic, complemented
96#10622834C2211yescharacteristic
97#10622834C2211yescharacteristic, complemented
98#10622834C2211yescharacteristic, complemented
99#10622833C2211yescharacteristic, complemented
100#10622833C2211yescharacteristic, complemented
101#10622825C2211yescharacteristic, complemented
102#10622823C2211yescharacteristic, complemented
103#10622823C2211yescharacteristic, complemented
104#10622607C2211yescharacteristic, complemented
105#10622607C2211yescharacteristic, complemented
106#10622607C2211yescharacteristic, complemented
107#10622607C2211yescharacteristic, complemented
108#10622607C2211yescharacteristic, complemented
109#10622607C2211yescharacteristic, complemented
110#10622605C2211yescharacteristic, complemented
111#10622602C2211yescharacteristic
112#10622602C2211yescharacteristic
113#10622602C2211yescharacteristic, complemented
114#10622601C2211yescharacteristic
115#10622600C2211yescharacteristic
116#10622600C2211yescharacteristic
117#10622600C2211yescharacteristic, complemented
118#10622598C2211yescharacteristic, complemented
119#10622597C2211yescharacteristic, complemented
120#10622596C2211yescharacteristic, complemented
121#10622594C2211yescharacteristic, complemented
122#10622593C2211yescharacteristic, complemented
123#10622591C2211yescharacteristic, complemented
124#10622586C2211yescharacteristic, complemented
125#10622585C2211yescharacteristic, complemented
126#10622585C2211yescharacteristic, complemented
127#10622574C2211yescharacteristic, complemented
128#10622574C2211yescharacteristic, complemented
129#10622573C2211yescharacteristic
130#10622572C2211yescharacteristic
131#10622572C2211yescharacteristic
132#10622572C2211yescharacteristic, complemented
133#10622572C2211yescharacteristic, complemented
134#10622572C2211yescharacteristic, complemented
135#10622572C2211yescharacteristic, complemented
136#10622570C2211yescharacteristic
137#10622570C2211yescharacteristic
138#10622570C2211yescharacteristic, complemented
139#10622570C2211yescharacteristic, complemented
140#10622570C2211yescharacteristic, complemented
141#10622570C2211yescharacteristic, complemented
142#10622569C2211yescharacteristic
143#10622569C2211yescharacteristic
144#10622569C2211yescharacteristic
145#10622569C2211yescharacteristic
146#10622569C2211yescharacteristic, complemented
147#10622569C2211yescharacteristic, complemented
148#10622568C2211yescharacteristic
149#10622568C2211yescharacteristic
150#10622568C2211yescharacteristic
151#10622568C2211yescharacteristic
152#10622566C2211yescharacteristic, complemented
153#10622564C2211yescharacteristic, complemented
154#10622564C2211yescharacteristic, complemented
155#10622563C2211yescharacteristic, complemented
156#10622562C2211yescharacteristic, complemented
157#10622561C2211yescharacteristic, complemented
158#10622561C2211yescharacteristic, complemented
159#10622561C2211yescharacteristic, complemented
160#10622561C2211yescharacteristic, complemented
161#10622561C2211yescharacteristic, complemented
162#10622561C2211yescharacteristic, complemented
163#10622561C2211yescharacteristic, complemented
164#10622561C2211yescharacteristic, complemented
165#10622560C2211yescharacteristic, complemented
166#10622559C2211yescharacteristic, complemented
167#10622558C2211yescharacteristic, complemented
168#10622558C2211yescharacteristic, complemented
169#10622555C2211yescharacteristic, complemented
170#10622553C2211yescharacteristic, complemented
171#10622553C2211yescharacteristic, complemented
172#10622541C2211yescharacteristic, complemented
173#10622287C2211yescharacteristic, complemented
174#10622286C2211yescharacteristic, complemented
175#10622285C2211yescharacteristic
176#10622283C2211yescharacteristic, complemented
177#10622283C2211yescharacteristic, complemented
178#10622281C2211yescharacteristic
179#10622281C2211yescharacteristic
180#10622281C2211yescharacteristic, complemented
181#10622280C2211yescharacteristic
182#10622280C2211yescharacteristic
183#10622280C2211yescharacteristic, complemented
184#10622270C2211yescharacteristic, complemented
185#10622266C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C2×D4×D11—24no—
210C2×D4×D11—42no—
211C2×D4×D11—42no—
212C22×D44C2311yescharacteristic
213C22×C4×D11—24no—
214C22×C4×D11—42no—
215C22×C4×D11—42no—
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×Dic22C2311yescharacteristic
224C11×#123—24no—
225C11×#123—24no—
226C11×#121—42no—
227C11×#121—42no—
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C42×C11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271#66992—42no—
272#66992—42no—
273#66991—24no—
274#66991—42no—
275#66990—42no—
276#66990—42no—
277#66990—42no—
278#66990—42no—
279#66988—24no—
280#66988—24no—
281#66983—42no—
282#66982—24no—
283C4×C22⋊D11—24no—
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×C4⋊Dic11C2311yescharacteristic
316C2×C4⋊Dic11C2311yescharacteristic
317C2×C4⋊Dic11C2311yescharacteristic
318#66977—24no—
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×Dic11⋊C4C2311yescharacteristic
332C2×Dic11⋊C4C2311yescharacteristic
333C2×Dic11⋊C4C2311yescharacteristic
334C2×Dic11⋊C4C2311yescharacteristic
335C2×Dic11⋊C4C2311yescharacteristic
336C2×Dic11⋊C4C2311yescharacteristic
337C2×Dic11⋊C4C2311yescharacteristic
338C2×Dic11⋊C4C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342C2×C4×Dic11C2311yescharacteristic
343C2×C4×Dic11C2311yescharacteristic
344#66949—24no—
345#66949—42no—
346#66947—24no—
347#66947—24no—
348#66945—42no—
349C4⋊C4×D11—24no—
350C4⋊C4×D11D418yescomplemented
351#66943—24no—
352#66942—24no—
353#66939—24no—
354#66936—24no—
355#66936—24no—
356#66936—24no—
357#66936—24no—
358(C22⋊D11)⋊C4—24no—
359C22⋊C4×D11—24no—
360C22⋊C4×D11—24no—
361C22⋊C4×D11—24no—
362#66932—24no—
363#66932—24no—
364#66931—24no—
365#66931—42no—
366#66925—42no—
367C11×#95C2311yescharacteristic
368C11×#95C2311yescharacteristic
369C11×#95C2311yescharacteristic
370C11×#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#36722—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—22no—
401C23×D11—22no—
402C23×D11—22no—
403C23×D11—22no—
404C23×D11—41no—
405C23×D11—41no—
406C23×D11—41no—
407C23×D11—41no—
408C23×D11—41no—
409C23×D11—41no—
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C23×D11C2411yescharacteristic
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—22no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C2×D4×C11—41no—
423C2×D4×C11—41no—
424C2×D4×C11—41no—
425C2×D4×C11—41no—
426C2×D4×C11—41no—
427C2×D4×C11—41no—
428C2×D4×C11—41no—
429C2×D4×C11—41no—
430C2×D4×C11—41no—
431C22×C4×C11—22no—
432C22×C4×C11—22no—
433C22×C4×C11—22no—
434C22×C4×C11—41no—
435C22×C4×C11—41no—
436C22×C4×C11—41no—
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—22no—
458C2×C22⋊D11—22no—
459C2×C22⋊D11—22no—
460C2×C22⋊D11—41no—
461C2×C22⋊D11—41no—
462C2×C22⋊D11—41no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C22×Dic11—22no—
473C22×Dic11—22no—
474C22×Dic11—22no—
475C22×Dic11—41no—
476C22×Dic11—41no—
477C22×Dic11—41no—
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491D4×D11—416no—
492C2×D44—22no—
493C2×D44—22no—
494C2×D44—41no—
495C2×C4×D11—22no—
496C2×C4×D11—22no—
497C2×C4×D11—22no—
498C2×C4×D11—22no—
499C2×C4×D11—22no—
500C2×C4×D11—22no—
501C2×C4×D11—22no—
502C2×C4×D11—22no—
503C2×C4×D11—41no—
504C2×C4×D11—41no—
505C2×C4×D11—41no—
506C2×C4×D11—41no—
507C2×C4×D11—41no—
508C2×C4×D11—41no—
509C2×C4×D11—41no—
510C2×C4×D11—41no—
511C2×C4×D11—41no—
512C2×C4×D11—41no—
513C2×C4×D11—416no—
514C2×C4×D11C2×D414yes—
515C2×C4×D11C2×D414yes—
516C2×C4×D11C2×D414yes—
517C2×Dic22—22no—
518C2×Dic22—41no—
519C2×Dic22—41no—
520C11×C4⋊C4—22no—
521C11×C4⋊C4—22no—
522C11×C4⋊C4—41no—
523C11×C4⋊C4—41no—
524C11×C4⋊C4—41no—
525C11×C4⋊C4—41no—
526C11×C4⋊C4—41no—
527C11×C4⋊C4C2×D414yes—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4—22no—
532C11×C22⋊C4—22no—
533C11×C22⋊C4—22no—
534C11×C22⋊C4—22no—
535C11×C22⋊C4—41no—
536C11×C22⋊C4—41no—
537C11×C22⋊C4—41no—
538C11×C22⋊C4—41no—
539C11×C22⋊C4—41no—
540C11×C22⋊C4—41no—
541C11×C22⋊C4—41no—
542C42×C11—41no—
543C22⋊Dic11—22no—
544C22⋊Dic11—22no—
545C22⋊Dic11—22no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—22no—
552C22⋊Dic11—41no—
553C22⋊Dic11—41no—
554C22⋊Dic11—41no—
555C22⋊Dic11—41no—
556C22⋊Dic11—41no—
557C22⋊Dic11—41no—
558C22⋊Dic11—41no—
559C22⋊Dic11—41no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562C22⋊Dic11—41no—
563(C2×D11)⋊C4—22no—
564(C2×D11)⋊C4—22no—
565(C2×D11)⋊C4—22no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4—41no—
580(C2×D11)⋊C4—41no—
581(C2×D11)⋊C4—41no—
582(C2×D11)⋊C4—41no—
583(C2×D11)⋊C4—41no—
584(C2×D11)⋊C4—41no—
585(C2×D11)⋊C4—41no—
586(C2×D11)⋊C4—41no—
587C4⋊Dic11—22no—
588C4⋊Dic11—22no—
589C4⋊Dic11—22no—
590C4⋊Dic11—22no—
591C4⋊Dic11—41no—
592C4⋊Dic11—41no—
593C4⋊Dic11—41no—
594C4⋊Dic11—41no—
595C4⋊Dic11—41no—
596C4⋊Dic11C2×D414yes—
597Dic11⋊C4—22no—
598Dic11⋊C4—22no—
599Dic11⋊C4—22no—
600Dic11⋊C4—22no—
601Dic11⋊C4—22no—
602Dic11⋊C4—22no—
603Dic11⋊C4—22no—
604Dic11⋊C4—22no—
605Dic11⋊C4—41no—
606Dic11⋊C4—41no—
607Dic11⋊C4—41no—
608Dic11⋊C4—41no—
609Dic11⋊C4—41no—
610Dic11⋊C4—41no—
611Dic11⋊C4—41no—
612Dic11⋊C4—41no—
613Dic11⋊C4—41no—
614Dic11⋊C4—41no—
615Dic11⋊C4C2×D414yes—
616Dic11⋊C4C2×D414yes—
617C4×Dic11—22no—
618C4×Dic11—22no—
619C4×Dic11—41no—
620C4×Dic11—41no—
621C4×Dic11—41no—
622C2×#539—111no—
623C22×#123—111no—
624#2848—111no—
625#2847—111no—
626#2707—111no—
627#2707—111no—
628#2707—111no—
629#2707—111no—
630#2705—111no—
631#2705—111no—
632#2705—111no—
633#2705—111no—
634#2682—111no—
635#2682—111no—
636#2682—111no—
637#2682D1111yescharacteristic, complemented
638#2681—111no—
639#2681—111no—
640#2681—111no—
641#2681—111no—
642#2626—111no—
643#2617—111no—
644#2579—111no—
645#2579—111no—
646#2411—111no—
647#2411—111no—
648#2411—111no—
649#2411—111no—
650#2408—111no—
651#2408—111no—
652#2316—111no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11—21no—
675C23×C11—21no—
676C23×C11—21no—
677C23×C11—21no—
678C23×C11—21no—
679C23×C11—21no—
680C23×C11H(5,𝔽2)12yes—
681C23×C11C2511yescharacteristic
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—28no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—44no—
701C22×D11—44no—
702C22×D11—44no—
703C22×D11—44no—
704C22×D11—44no—
705C22×D11—44no—
706C22×D11—44no—
707C22×D11—44no—
708C22×D11—44no—
709C22×D11—82no—
710C22×D11—82no—
711C22×D11—82no—
712C22×D11—82no—
713C22×D11C22×D412yes—
714C22×D11H(5,𝔽2)12yes—
715C22×D11H(5,𝔽2)12yes—
716C22×D112−1+412yes—
717D4×C11—44no—
718D4×C11—82no—
719D4×C11—82no—
720D4×C11—82no—
721D4×C11—82no—
722D4×C11—82no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—44no—
754C2×C4×C11—82no—
755C2×C4×C11C22×D412yes—
756C2×C4×C11C22×D412yes—
757C2×C4×C11C22×D412yes—
758C22⋊D11—44no—
759C22⋊D11—44no—
760C22⋊D11—44no—
761C22⋊D11—44no—
762C22⋊D11—82no—
763C22⋊D11—82no—
764C22⋊D11—82no—
765C22⋊D11—82no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—44no—
803C2×Dic11—82no—
804C2×Dic11C22×D412yes—
805C2×Dic11C22×D412yes—
806C2×Dic11C22×D412yes—
807D44—44no—
808C4×D11—28no—
809C4×D11—44no—
810C4×D11—44no—
811C4×D11—44no—
812C4×D11—44no—
813C4×D11—44no—
814C4×D11—44no—
815Dic22—82no—
816C23×D4—111no—
817C24×C4—111no—
818#539—228no—
819C2×#126—111no—
820C2×#126—111no—
821C2×#125—111no—
822C2×#125—111no—
823C2×#123—111no—
824C2×#123—111no—
825C2×#123—111no—
826C2×#123—111no—
827C2×#123—111no—
828C2×#123—111no—
829C2×#123—111no—
830C2×#123—111no—
831C2×#123—111no—
832C2×#123—111no—
833C2×#123—228no—
834C2×#123C2×D1111yescharacteristic
835C2×#123C2×D1111yescharacteristic, complemented
836C2×C22⋊Q8—111no—
837C2×C22⋊Q8—111no—
838C2×C22⋊Q8—111no—
839C2×C22⋊Q8—111no—
840C2×C22⋊Q8—111no—
841C2×#121—111no—
842C2×#121—111no—
843C2×#121—111no—
844C2×#121—111no—
845C2×#121—111no—
846C2×#121C2×D1111yescharacteristic
847C2×#121C2×D1111yescharacteristic, complemented
848C2×#120—111no—
849C2×#120—111no—
850C2×#120—111no—
851C2×#120—111no—
852C2×C4×D4—111no—
853C2×C4×D4—111no—
854C2×#117—111no—
855C2×#117—111no—
856C22×C4⋊C4—111no—
857C22×C4⋊C4—111no—
858C22×C22⋊C4—111no—
859C22×C22⋊C4—111no—
860C22×C22⋊C4—111no—
861#399—111no—
862#399—111no—
863#398—111no—
864#398—111no—
865#398—111no—
866#398—111no—
867#397—111no—
868#397—111no—
869#396—111no—
870#396—111no—
871#396—111no—
872#396—111no—
873#396—111no—
874#396—111no—
875#396—111no—
876#396—111no—
877#396—111no—
878#396—111no—
879#396—111no—
880#396—111no—
881#396—111no—
882#396—111no—
883#396C2×D1111yescharacteristic, complemented
884#396C2×D1111yescharacteristic, complemented
885#394—111no—
886#394—111no—
887#394—111no—
888#394—111no—
889#394—111no—
890#394—111no—
891#394—111no—
892#394—111no—
893#394—111no—
894#394—111no—
895#394—111no—
896#394—111no—
897#394—111no—
898#394—111no—
899#394C2×D1111yescharacteristic, complemented
900#394C2×D1111yescharacteristic, complemented
901#393—111no—
902#393—111no—
903#392—111no—
904#392—111no—
905#392—111no—
906#392—111no—
907#392C2×D1111yescharacteristic
908#392C2×D1111yescharacteristic, complemented
909#390—111no—
910#390—111no—
911#390—111no—
912#390—111no—
913#390—111no—
914#390—111no—
915#390—111no—
916#390—111no—
917#390—111no—
918#390—111no—
919#390C2×D1111yescharacteristic, complemented
920#390C2×D1111yescharacteristic, complemented
921#389—111no—
922#389—111no—
923#389—111no—
924#389—111no—
925#389—111no—
926#389—111no—
927#389—111no—
928#389C2×D1111yescharacteristic, complemented
929#388—111no—
930#388—111no—
931#388—111no—
932#388—111no—
933#388—111no—
934#388—111no—
935#388—111no—
936#388—111no—
937#387—111no—
938#387—111no—
939#387—111no—
940#387—111no—
941#386—111no—
942#386—111no—
943#386—111no—
944#386—111no—
945#386—111no—
946#386—111no—
947#386—111no—
948#386—111no—
949#385—111no—
950#385—111no—
951#385—111no—
952#385—111no—
953#385—111no—
954#385—111no—
955#385—111no—
956#385—111no—
957#385—111no—
958#385—111no—
959#385C2×D1111yescharacteristic, complemented
960#385C2×D1111yescharacteristic, complemented
961#380—111no—
962#380—111no—
963#380—111no—
964#380—111no—
965#380—111no—
966#380—111no—
967#380—111no—
968#380—111no—
969#379—111no—
970#379—111no—
971#379—111no—
972#379—111no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—22no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11—41no—
1000C22×C11—41no—
1001C22×C11C23×D411yescharacteristic
1002C22×C11C2×H(5,𝔽2)11yescharacteristic
1003C22×C11C2×H(5,𝔽2)11yescharacteristic
1004C22×C11C2×H(5,𝔽2)11yescharacteristic
1005C22×C11C2×2−1+411yescharacteristic
1006C22×C11#58511yescharacteristic
1007C22×C11#58511yescharacteristic
1008C2×D11—22no—
1009C2×D11—22no—
1010C2×D11—22no—
1011C2×D11—22no—
1012C2×D11—22no—
1013C2×D11—22no—
1014C2×D11—22no—
1015C2×D11—22no—
1016C2×D11—22no—
1017C2×D11—416no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C2×D11—88no—
1030C2×D11#53714yes—
1031C4×C11—22no—
1032C4×C11—22no—
1033C4×C11—22no—
1034C4×C11—41no—
1035C4×C11—41no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040C4×C11—41no—
1041C4×C11—41no—
1042Dic11—22no—
1043Dic11—22no—
1044Dic11—22no—
1045Dic11—41no—
1046Dic11—41no—
1047Dic11—41no—
1048Dic11—41no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053Dic11—41no—
1054Dic11—41no—
1055C25—111no—
1056C25—111no—
1057C22×Q8—111no—
1058C22×D4—111no—
1059C22×D4—111no—
1060C22×D4—111no—
1061C22×D4—111no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—224no—
1068C22×D4—442no—
1069C22×D4—442no—
1070C22×D4C22×D1111yescharacteristic
1071C22×D4C22×D1111yescharacteristic
1072C22×D4C22×D1111yescharacteristic
1073C22×D4C22×D1111yescharacteristic
1074C22×D4C22×D1111yescharacteristic
1075C22×D4C22×D1111yescharacteristic
1076C23×C4—111no—
1077C23×C4—111no—
1078C23×C4—111no—
1079C23×C4—111no—
1080C23×C4—111no—
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—111no—
1085C23×C4—224no—
1086C23×C4—442no—
1087C23×C4—442no—
1088C23×C4C22×D1111yescharacteristic
1089C23×C4C22×D1111yescharacteristic
1090#126—224no—
1091#126—224no—
1092#125—224no—
1093#125—224no—
1094#123—24no—
1095#123—24no—
1096#123—224no—
1097#123—224no—
1098#123—224no—
1099#123—224no—
1100#123—224no—
1101#123—224no—
1102#123—224no—
1103#123—224no—
1104#123—224no—
1105#123—224no—
1106C22⋊Q8—224no—
1107C22⋊Q8—224no—
1108C22⋊Q8—224no—
1109C22⋊Q8—442no—
1110C22⋊Q8—442no—
1111#121—42no—
1112#121—42no—
1113#121—224no—
1114#121—442no—
1115#121—442no—
1116#121—442no—
1117#121—442no—
1118#120—442no—
1119#120—442no—
1120#120—442no—
1121#120—442no—
1122C4×D4—224no—
1123C4×D4—224no—
1124#117—442no—
1125#117—442no—
1126C2×C4⋊C4—111no—
1127C2×C4⋊C4—111no—
1128C2×C4⋊C4—111no—
1129C2×C4⋊C4—118no—
1130C2×C4⋊C4—111no—
1131C2×C4⋊C4—111no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—111no—
1136C2×C4⋊C4—111no—
1137C2×C4⋊C4—111no—
1138C2×C4⋊C4—111no—
1139C2×C4⋊C4—111no—
1140C2×C4⋊C4—111no—
1141C2×C4⋊C4—111no—
1142C2×C4⋊C4—111no—
1143C2×C4⋊C4—111no—
1144C2×C4⋊C4—111no—
1145C2×C4⋊C4—111no—
1146C2×C4⋊C4—111no—
1147C2×C4⋊C4—111no—
1148C2×C4⋊C4—111no—
1149C2×C4⋊C4—111no—
1150C2×C4⋊C4—111no—
1151C2×C4⋊C4—111no—
1152C2×C4⋊C4—111no—
1153C2×C4⋊C4—111no—
1154C2×C4⋊C4—111no—
1155C2×C4⋊C4—111no—
1156C2×C4⋊C4—111no—
1157C2×C4⋊C4—224no—
1158C2×C4⋊C4C22×D1111yescharacteristic
1159C2×C4⋊C4C22×D1111yescharacteristic
1160C2×C4⋊C4C22×D1111yescharacteristic
1161C2×C4⋊C4C22×D1111yescharacteristic
1162C2×C4⋊C4C22×D1111yescharacteristic
1163C2×C4⋊C4C22×D1111yescharacteristic
1164C2×C4⋊C4C22×D1111yescharacteristic
1165C2×C4⋊C4C22×D1111yescharacteristic
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—111no—
1187C2×C22⋊C4—111no—
1188C2×C22⋊C4—111no—
1189C2×C22⋊C4—111no—
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—111no—
1192C2×C22⋊C4—111no—
1193C2×C22⋊C4—111no—
1194C2×C22⋊C4—111no—
1195C2×C22⋊C4—111no—
1196C2×C22⋊C4—111no—
1197C2×C22⋊C4—111no—
1198C2×C22⋊C4—111no—
1199C2×C22⋊C4—111no—
1200C2×C22⋊C4—111no—
1201C2×C22⋊C4—111no—
1202C2×C22⋊C4—111no—
1203C2×C22⋊C4—111no—
1204C2×C22⋊C4—111no—
1205C2×C22⋊C4—111no—
1206C2×C22⋊C4—111no—
1207C2×C22⋊C4—111no—
1208C2×C22⋊C4—111no—
1209C2×C22⋊C4—111no—
1210C2×C22⋊C4—224no—
1211C2×C22⋊C4—224no—
1212C2×C22⋊C4—224no—
1213C2×C22⋊C4C22×D1111yescharacteristic
1214C2×C22⋊C4C22×D1111yescharacteristic
1215C2×C22⋊C4C22×D1111yescharacteristic
1216C2×C22⋊C4C22×D1111yescharacteristic
1217C2×C22⋊C4C22×D1111yescharacteristic
1218C2×C22⋊C4C22×D1111yescharacteristic
1219C2×C22⋊C4C22×D1111yescharacteristic
1220C2×C22⋊C4C22×D1111yescharacteristic
1221C2×C22⋊C4C22×D1111yescharacteristic
1222C2×C22⋊C4C22×D1111yescharacteristic
1223C2×C22⋊C4C22×D1111yescharacteristic
1224C2×C22⋊C4C22×D1111yescharacteristic
1225C2×C22⋊C4C22×D1111yescharacteristic
1226C2×C22⋊C4C22×D1111yescharacteristic
1227C2×C42—111no—
1228C2×C42—111no—
1229C2×C42—111no—
1230C2×C42—111no—
1231C2×C42—111no—
1232C2×C42C22×D1111yescharacteristic
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239#95—111no—
1240#95—111no—
1241#95—111no—
1242#95—111no—
1243#95—111no—
1244#95—111no—
1245#95—111no—
1246#95—111no—
1247#95—111no—
1248#95—111no—
1249#95—111no—
1250#95—111no—
1251#95—111no—
1252#95—111no—
1253#95C22×D1111yescharacteristic
1254#95C22×D1111yescharacteristic
1255#95C22×D1111yescharacteristic
1256#95C22×D1111yescharacteristic
1257C2×C11—42no—
1258C2×C11—81no—
1259C2×C11—81no—
1260C2×C11—81no—
1261C2×C11C2×#53711yescharacteristic
1262C2×C11#348411yescharacteristic
1263C2×C11#348711yescharacteristic
1264C2×C11#353411yescharacteristic
1265C2×C11#353411yescharacteristic
1266C2×C11#353511yescharacteristic
1267C2×C11#353511yescharacteristic
1268D11—24no—
1269D11—42no—
1270D11—81no—
1271C24—111no—
1272C24—111no—
1273C24—111no—
1274C24—222no—
1275C24—222no—
1276C24—222no—
1277C24—222no—
1278C24—222no—
1279C24—222no—
1280C24—222no—
1281C24—222no—
1282C24—441no—
1283C24—441no—
1284C24—441no—
1285C24—441no—
1286C24—441no—
1287C24—441no—
1288C24C23×D1111yescharacteristic
1289C24C23×D1111yescharacteristic
1290C24C23×D1111yescharacteristic
1291C24C23×D1111yescharacteristic
1292C2×Q8—222no—
1293C2×Q8—441no—
1294C2×Q8—441no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—222no—
1314C2×D4—222no—
1315C2×D4—222no—
1316C2×D4—222no—
1317C2×D4—222no—
1318C2×D4—222no—
1319C2×D4—222no—
1320C2×D4—222no—
1321C2×D4—222no—
1322C2×D4—222no—
1323C2×D4—222no—
1324C2×D4—222no—
1325C2×D4—222no—
1326C2×D4—222no—
1327C2×D4—441no—
1328C2×D4—441no—
1329C2×D4—441no—
1330C2×D4—441no—
1331C2×D4—441no—
1332C2×D4—441no—
1333C2×D4—441no—
1334C2×D4—441no—
1335C2×D4—441no—
1336C2×D4—441no—
1337C2×D4—441no—
1338C2×D4—441no—
1339C2×D4—441no—
1340C2×D4—4416no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—111no—
1348C22×C4—111no—
1349C22×C4—111no—
1350C22×C4—114no—
1351C22×C4—114no—
1352C22×C4—114no—
1353C22×C4—111no—
1354C22×C4—111no—
1355C22×C4—111no—
1356C22×C4—111no—
1357C22×C4—111no—
1358C22×C4—111no—
1359C22×C4—111no—
1360C22×C4—111no—
1361C22×C4—111no—
1362C22×C4—111no—
1363C22×C4—222no—
1364C22×C4—222no—
1365C22×C4—222no—
1366C22×C4—222no—
1367C22×C4—222no—
1368C22×C4—222no—
1369C22×C4—222no—
1370C22×C4—222no—
1371C22×C4—222no—
1372C22×C4—222no—
1373C22×C4—222no—
1374C22×C4—441no—
1375C22×C4—441no—
1376C22×C4—441no—
1377C22×C4—441no—
1378C22×C4—441no—
1379C22×C4—441no—
1380C22×C4—441no—
1381C22×C4—441no—
1382C22×C4—441no—
1383C22×C4—441no—
1384C22×C4—4416no—
1385C22×C4—441no—
1386C22×C4—441no—
1387C22×C4—441no—
1388C22×C4C23×D1111yescharacteristic
1389C22×C4C23×D1111yescharacteristic
1390C22×C4C23×D1111yescharacteristic
1391C22×C4C23×D1111yescharacteristic
1392C22×C4C23×D1111yescharacteristic
1393C22×C4C23×D1111yescharacteristic
1394C22×C4C23×D1111yescharacteristic
1395C22×C4C23×D1111yescharacteristic
1396C22×C4C23×D1111yescharacteristic
1397C22×C4C23×D1111yescharacteristic
1398C22×C4C23×D1111yescharacteristic
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—41no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—114no—
1407C4⋊C4—114no—
1408C4⋊C4—114no—
1409C4⋊C4—222no—
1410C4⋊C4—222no—
1411C4⋊C4—222no—
1412C4⋊C4—222no—
1413C4⋊C4—222no—
1414C4⋊C4—222no—
1415C4⋊C4—222no—
1416C4⋊C4—222no—
1417C4⋊C4—222no—
1418C4⋊C4—222no—
1419C4⋊C4—222no—
1420C4⋊C4—222no—
1421C4⋊C4—441no—
1422C4⋊C4—441no—
1423C4⋊C4—441no—
1424C4⋊C4—441no—
1425C4⋊C4—441no—
1426C4⋊C4—441no—
1427C4⋊C4—441no—
1428C4⋊C4—441no—
1429C4⋊C4—441no—
1430C4⋊C4—441no—
1431C4⋊C4—441no—
1432C4⋊C4—441no—
1433C4⋊C4—441no—
1434C4⋊C4—441no—
1435C4⋊C4—441no—
1436C4⋊C4D4×D1114yes—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—222no—
1452C22⋊C4—222no—
1453C22⋊C4—222no—
1454C22⋊C4—222no—
1455C22⋊C4—222no—
1456C22⋊C4—222no—
1457C22⋊C4—222no—
1458C22⋊C4—222no—
1459C22⋊C4—222no—
1460C22⋊C4—222no—
1461C22⋊C4—222no—
1462C22⋊C4—222no—
1463C22⋊C4—222no—
1464C22⋊C4—222no—
1465C22⋊C4—222no—
1466C22⋊C4—222no—
1467C22⋊C4—222no—
1468C22⋊C4—222no—
1469C22⋊C4—222no—
1470C22⋊C4—222no—
1471C22⋊C4—222no—
1472C22⋊C4—222no—
1473C22⋊C4—222no—
1474C22⋊C4—441no—
1475C22⋊C4—441no—
1476C22⋊C4—441no—
1477C22⋊C4—441no—
1478C22⋊C4—441no—
1479C22⋊C4—441no—
1480C22⋊C4—441no—
1481C22⋊C4—441no—
1482C22⋊C4—441no—
1483C22⋊C4—441no—
1484C22⋊C4—441no—
1485C22⋊C4—441no—
1486C22⋊C4—441no—
1487C22⋊C4—441no—
1488C22⋊C4—441no—
1489C22⋊C4—441no—
1490C22⋊C4—441no—
1491C22⋊C4—441no—
1492C22⋊C4—441no—
1493C22⋊C4—441no—
1494C22⋊C4—441no—
1495C42—41no—
1496C42—222no—
1497C42—222no—
1498C42—441no—
1499C42—441no—
1500C42—441no—
1501C11#3672211yescharacteristic, complemented, Sylow
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—112no—
1530C23—112no—
1531C23—112no—
1532C23—112no—
1533C23—228no—
1534C23—221no—
1535C23—221no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23—221no—
1543C23—221no—
1544C23—221no—
1545C23—221no—
1546C23—221no—
1547C23—221no—
1548C23—221no—
1549C23—221no—
1550C23—221no—
1551C23—444no—
1552C23—444no—
1553C23—444no—
1554C23—444no—
1555C23—444no—
1556C23—444no—
1557C23—444no—
1558C23—444no—
1559C23—444no—
1560C23—882no—
1561C23—882no—
1562C23—882no—
1563C23—882no—
1564C23#6703712yes—
1565C23C24×D1111yescharacteristic
1566Q8—882no—
1567D4—44no—
1568D4—82no—
1569D4—82no—
1570D4—82no—
1571D4—82no—
1572D4—82no—
1573D4—444no—
1574D4—444no—
1575D4—444no—
1576D4—444no—
1577D4—444no—
1578D4—882no—
1579D4—882no—
1580D4—882no—
1581D4—882no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—44no—
1613C2×C4—82no—
1614C2×C4—112no—
1615C2×C4—112no—
1616C2×C4—112no—
1617C2×C4—228no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—221no—
1651C2×C4—221no—
1652C2×C4—221no—
1653C2×C4—221no—
1654C2×C4—444no—
1655C2×C4—444no—
1656C2×C4—444no—
1657C2×C4—444no—
1658C2×C4—444no—
1659C2×C4—444no—
1660C2×C4—444no—
1661C2×C4—882no—
1662C2×C4C2×D4×D1112yes—
1663C2×C4C2×D4×D1112yes—
1664C2×C4C2×D4×D1112yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—114no—
1694C22—222no—
1695C22—222no—
1696C22—222no—
1697C22—222no—
1698C22—222no—
1699C22—222no—
1700C22—222no—
1701C22—222no—
1702C22—222no—
1703C22—4416no—
1704C22—441no—
1705C22—441no—
1706C22—441no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—888no—
1716C22C22×D4×D1111yescharacteristic
1717C22C2×#6703711yescharacteristic
1718C22#1062345311yescharacteristic
1719C22D11×H(5,𝔽2)11yescharacteristic
1720C22D11×H(5,𝔽2)11yescharacteristic
1721C22#1062345511yescharacteristic
1722C22D11×2−1+411yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—222no—
1735C4—222no—
1736C4—222no—
1737C4—441no—
1738C4—441no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C4—441no—
1744C4—441no—
1745C4—441no—
1746C4—441no—
1747C2—42no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—224no—
1752C2—442no—
1753C2—881no—
1754C2D11×#53711yescharacteristic
1755C2#1308224411yescharacteristic
1756C2#1308226911yescharacteristic
1757C2#1308279611yescharacteristic
1758C2#1308280511yescharacteristic
1759C2#1308281611yescharacteristic
1760C2#1308281711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2682C2
hypercenter#2682D11
hypocenterC11#36722
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2682

Complements

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

NH ≅ G/Ntype
1. C2×#10623191C2semidirect
2. C2×D11×#123C2semidirect
3. #13076902C2semidirect
4. #13076895C2semidirect
5. #13075325C2semidirect
6. #13075323C2semidirect
7. #13075317C2semidirect
8. #13075315C2semidirect
9. #13075296C2semidirect
10. #13075294C2semidirect
11. #13075284C2semidirect
12. #13075282C2semidirect
13. #13074983C2semidirect
14. #13074981C2semidirect
15. #13074977C2semidirect
16. #13074974C2semidirect
17. #13074969C2semidirect
18. #13074965C2semidirect
19. #13074962C2semidirect
20. #13074426C2semidirect
21. #13074349C2semidirect
22. #13073961C2semidirect
23. #13073958C2semidirect
24. #13071998C2semidirect
25. #13071998C2semidirect
26. #13071994C2semidirect
27. #13071994C2semidirect
28. #13071968C2semidirect
29. #13071965C2semidirect
30. #13071231C2semidirect
31. C11×#2682C2semidirect
35. C2×C11×#123C22semidirect
37. C2×C11×#121C22semidirect
41. C2×#66991C22semidirect
47. C2×#66988C22semidirect
51. C2×#66977C22semidirect
55. C2×#66949C22semidirect
61. C2×#66943C22semidirect
62. C2×#66942C22semidirect
72. C2×#66932C22semidirect
73. C2×#66932C22semidirect
74. C2×#66931C22semidirect
75. C2×#66931C22semidirect
77. C11×#396C22semidirect
78. C11×#396C22semidirect
79. C11×#394C22semidirect
80. C11×#394C22semidirect
82. C11×#392C22semidirect
83. C11×#390C22semidirect
84. C11×#390C22semidirect
85. C11×#389C22semidirect
86. C11×#385C22semidirect
87. C11×#385C22semidirect
90. #10622836C22semidirect
92. #10622835C22semidirect
93. #10622835C22semidirect
94. #10622835C22semidirect
95. #10622835C22semidirect
97. #10622834C22semidirect
98. #10622834C22semidirect
99. #10622833C22semidirect
100. #10622833C22semidirect
101. #10622825C22semidirect
102. #10622823C22semidirect
103. #10622823C22semidirect
104. #10622607C22semidirect
105. #10622607C22semidirect
106. #10622607C22semidirect
107. #10622607C22semidirect
108. #10622607C22semidirect
109. #10622607C22semidirect
110. #10622605C22semidirect
113. #10622602C22semidirect
117. #10622600C22semidirect
118. #10622598C22semidirect
119. #10622597C22semidirect
120. #10622596C22semidirect
121. #10622594C22semidirect
122. #10622593C22semidirect
123. #10622591C22semidirect
124. #10622586C22semidirect
125. #10622585C22semidirect
126. #10622585C22semidirect
127. #10622574C22semidirect
128. #10622574C22semidirect
132. #10622572C22semidirect
133. #10622572C22semidirect
134. #10622572C22semidirect
135. #10622572C22semidirect
138. #10622570C22semidirect
139. #10622570C22semidirect
140. #10622570C22semidirect
141. #10622570C22semidirect
146. #10622569C22semidirect
147. #10622569C22semidirect
152. #10622566C22semidirect
153. #10622564C22semidirect
154. #10622564C22semidirect
155. #10622563C22semidirect
156. #10622562C22semidirect
157. #10622561C22semidirect
158. #10622561C22semidirect
159. #10622561C22semidirect
160. #10622561C22semidirect
161. #10622561C22semidirect
162. #10622561C22semidirect
163. #10622561C22semidirect
164. #10622561C22semidirect
165. #10622560C22semidirect
166. #10622559C22semidirect
167. #10622558C22semidirect
168. #10622558C22semidirect
169. #10622555C22semidirect
170. #10622553C22semidirect
171. #10622553C22semidirect
172. #10622541C22semidirect
173. #10622287C22semidirect
174. #10622286C22semidirect
176. #10622283C22semidirect
177. #10622283C22semidirect
180. #10622281C22semidirect
183. #10622280C22semidirect
184. #10622270C22semidirect
185. #10622266C22semidirect
186. #10622265C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
350. C4⋊C4×D11D4semidirect
637. #2682D11semidirect
835. C2×#123C2×D11semidirect
847. C2×#121C2×D11semidirect
883. #396C2×D11semidirect
884. #396C2×D11semidirect
899. #394C2×D11semidirect
900. #394C2×D11semidirect
908. #392C2×D11semidirect
919. #390C2×D11semidirect
920. #390C2×D11semidirect
928. #389C2×D11semidirect
959. #385C2×D11semidirect
960. #385C2×D11semidirect
1501. C11#36722semidirect

Maximal subgroups

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

subgroupindex
C2×#106231912
C2×D11×#1232
#130769022
#130768952
#130753252
#130753232
#130753172
#130753152
#130752962
#130752942
#130752842
#130752822
#130749832
#130749812
#130749772
#130749742
#130749692
#130749652
#130749622
#130744262
#130743492
#130739612
#130739582
#130719982
#130719942
#130719682
#130719652
#130712312
C11×#26822
#3672211