Finite Group Databasebeta

← #14961155

Subgroups — #14961155

Order 2816.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623235C211yesmaximal, characteristic, complemented
2C2×#10623188C211yesmaximal, characteristic, complemented
3#13076899C211yesmaximal, characteristic, complemented
4#13076897C211yesmaximal, characteristic, complemented
5#13075525C211yesmaximal, characteristic, complemented
6#13075424C211yesmaximal, characteristic, complemented
7#13075423C211yesmaximal, characteristic, complemented
8#13075388C211yesmaximal, characteristic, complemented
9#13075144C211yesmaximal, characteristic, complemented
10#13075126C211yesmaximal, characteristic, complemented
11#13075104C211yesmaximal, characteristic, complemented
12#13075097C211yesmaximal, characteristic, complemented
13#13074920C211yesmaximal, characteristic, complemented
14#13074919C211yesmaximal, characteristic, complemented
15#13074907C211yesmaximal, characteristic, complemented
16#13074874C211yesmaximal, characteristic, complemented
17#13074864C211yesmaximal, characteristic, complemented
18#13074853C211yesmaximal, characteristic, complemented
19#13074852C211yesmaximal, characteristic, complemented
20#13074355C211yesmaximal, characteristic, complemented
21#13074351C211yesmaximal, characteristic, complemented
22#13073801C211yesmaximal, characteristic, complemented
23#13073799C211yesmaximal, characteristic, complemented
24#13073581C211yesmaximal, characteristic, complemented
25#13073577C211yesmaximal, characteristic, complemented
26#13072065C211yesmaximal, characteristic, complemented
27#13072062C211yesmaximal, characteristic, complemented
28#13072058C211yesmaximal, characteristic, complemented
29#13072051C211yesmaximal, characteristic, complemented
30D11×#385C211yesmaximal, characteristic, complemented
31C11×#2695C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×#66992C2211yescharacteristic
36C2×#66991C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66983C2211yescharacteristic
39C2×#66983C2211yescharacteristic
40C2×#66983C2211yescharacteristic, complemented
41C2×C4×C22⋊D11C2211yescharacteristic
42#10623235—28no—
43#10623188—28no—
44C2×#66951C2211yescharacteristic
45C2×#66951C2211yescharacteristic
46C2×#66950C2211yescharacteristic
47C2×#66950C2211yescharacteristic, complemented
48C2×#66949C2211yescharacteristic
49C2×#66949C2211yescharacteristic, complemented
50C2×#66948C2211yescharacteristic
51C2×#66948C2211yescharacteristic
52C2×#66948C2211yescharacteristic
53C2×#66948C2211yescharacteristic
54C2×#66948C2211yescharacteristic
55C2×#66947C2211yescharacteristic
56C2×#66947C2211yescharacteristic
57C2×#66946C2211yescharacteristic
58C2×#66946C2211yescharacteristic
59C2×C4⋊C4×D11C2211yescharacteristic
60C2×C4⋊C4×D11C2211yescharacteristic
61C2×#66938C2211yescharacteristic
62C2×#66938C2211yescharacteristic
63C2×#66938C2211yescharacteristic
64C2×#66937C2211yescharacteristic
65C2×#66937C2211yescharacteristic
66C2×#66937C2211yescharacteristic
67C2×#66937C2211yescharacteristic
68C2×#66937C2211yescharacteristic
69C2×#66937C2211yescharacteristic, complemented
70C2×#66936C2211yescharacteristic
71C2×#66935C2211yescharacteristic
72C2×#66935C2211yescharacteristic
73C2×#66935C2211yescharacteristic
74C2×C22⋊C4×D11C2211yescharacteristic
75C2×C22⋊C4×D11C2211yescharacteristic
76C2×#66932C2211yescharacteristic
77C2×#66928C2211yescharacteristic
78C2×C4×D44C2211yescharacteristic
79C11×#400C2211yescharacteristic, complemented
80C11×#398C2211yescharacteristic, complemented
81C11×#398C2211yescharacteristic, complemented
82C11×#397C2211yescharacteristic
83C11×#396C2211yescharacteristic, complemented
84C11×#394C2211yescharacteristic
85C11×#389C2211yescharacteristic, complemented
86C11×#388C2211yescharacteristic, complemented
87C11×#386C2211yescharacteristic
88C11×#385C2211yescharacteristic
89C11×#385C2211yescharacteristic, complemented
90C11×#380C2211yescharacteristic
91C11×#380C2211yescharacteristic, complemented
92#10622836C2211yescharacteristic
93#10622826C2211yescharacteristic
94#10622823C2211yescharacteristic
95#10622823C2211yescharacteristic, complemented
96#10622607C2211yescharacteristic, complemented
97#10622607C2211yescharacteristic, complemented
98#10622607C2211yescharacteristic, complemented
99#10622607C2211yescharacteristic, complemented
100#10622607C2211yescharacteristic, complemented
101#10622606C2211yescharacteristic
102#10622606C2211yescharacteristic, complemented
103#10622605C2211yescharacteristic, complemented
104#10622604C2211yescharacteristic
105#10622604C2211yescharacteristic, complemented
106#10622604C2211yescharacteristic, complemented
107#10622603C2211yescharacteristic, complemented
108#10622603C2211yescharacteristic, complemented
109#10622602C2211yescharacteristic
110#10622602C2211yescharacteristic
111#10622601C2211yescharacteristic, complemented
112#10622600C2211yescharacteristic
113#10622600C2211yescharacteristic
114#10622600C2211yescharacteristic
115#10622600C2211yescharacteristic, complemented
116#10622597C2211yescharacteristic, complemented
117#10622597C2211yescharacteristic, complemented
118#10622592C2211yescharacteristic, complemented
119#10622592C2211yescharacteristic, complemented
120#10622591C2211yescharacteristic, complemented
121#10622586C2211yescharacteristic, complemented
122#10622585C2211yescharacteristic, complemented
123#10622574C2211yescharacteristic
124#10622574C2211yescharacteristic
125#10622574C2211yescharacteristic, complemented
126#10622574C2211yescharacteristic, complemented
127#10622573C2211yescharacteristic
128#10622573C2211yescharacteristic
129#10622573C2211yescharacteristic, complemented
130#10622572C2211yescharacteristic
131#10622572C2211yescharacteristic
132#10622572C2211yescharacteristic, complemented
133#10622572C2211yescharacteristic, complemented
134#10622571C2211yescharacteristic
135#10622571C2211yescharacteristic
136#10622570C2211yescharacteristic, complemented
137#10622569C2211yescharacteristic
138#10622569C2211yescharacteristic
139#10622569C2211yescharacteristic
140#10622569C2211yescharacteristic, complemented
141#10622565C2211yescharacteristic
142#10622563C2211yescharacteristic
143#10622562C2211yescharacteristic, complemented
144#10622560C2211yescharacteristic, complemented
145#10622559C2211yescharacteristic
146#10622555C2211yescharacteristic
147#10622553C2211yescharacteristic, complemented
148#10622542C2211yescharacteristic, complemented
149#10622289C2211yescharacteristic, complemented
150#10622289C2211yescharacteristic, complemented
151#10622288C2211yescharacteristic
152#10622288C2211yescharacteristic, complemented
153#10622286C2211yescharacteristic, complemented
154#10622285C2211yescharacteristic
155#10622285C2211yescharacteristic
156#10622284C2211yescharacteristic
157#10622284C2211yescharacteristic, complemented
158#10622281C2211yescharacteristic
159#10622281C2211yescharacteristic
160#10622281C2211yescharacteristic, complemented
161#10622281C2211yescharacteristic, complemented
162#10622280C2211yescharacteristic
163#10622280C2211yescharacteristic
164#10622280C2211yescharacteristic
165#10622280C2211yescharacteristic, complemented
166#10622280C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic, complemented
178#10622278C2211yescharacteristic, complemented
179D11×#95C2211yescharacteristic
180D11×#95C2211yescharacteristic
181#10622274C2211yescharacteristic, complemented
182#10622274C2211yescharacteristic, complemented
183#10622271C2211yescharacteristic, complemented
184#10622268C2211yescharacteristic, complemented
185#10622268C2211yescharacteristic, complemented
186#10622266C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×C4×D11—42no—
212C22×C4×D11—42no—
213C22×C4×D11—42no—
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×Dic22C2311yescharacteristic
226C22×Dic22C2311yescharacteristic
227C11×#126—24no—
228C11×#123—24no—
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×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊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
257#66992—42no—
258#66991—24no—
259#66990—24no—
260#66983—24no—
261#66983—42no—
262#66983—42no—
263C4×C22⋊D11—24no—
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324#66951—24no—
325#66951—24no—
326#66950—24no—
327#66950—42no—
328#66949—24no—
329#66949—42no—
330#66948—24no—
331#66948—24no—
332#66948—42no—
333#66948—42no—
334#66948—42no—
335#66947—24no—
336#66947—24no—
337#66946—24no—
338#66946—24no—
339C4⋊C4×D11—42no—
340C4⋊C4×D11—42no—
341#66938—24no—
342#66938—24no—
343#66938—24no—
344#66937—24no—
345#66937—24no—
346#66937—42no—
347#66937—42no—
348#66937—42no—
349#66937—42no—
350#66936—24no—
351#66935—24no—
352#66935—24no—
353#66935—24no—
354C22⋊C4×D11—42no—
355C22⋊C4×D11D418yescomplemented
356#66932—24no—
357#66928—24no—
358C4×D44—24no—
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11×#95C2311yescharacteristic
364C11×#95C2311yescharacteristic
365C11×#95C2311yescharacteristic
366C11×#95C2311yescharacteristic
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#36738—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C23×D11—22no—
395C23×D11—22no—
396C23×D11—41no—
397C23×D11—41no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11C2×D414yes—
401C23×D11C2411yescharacteristic
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C23×D11C2411yescharacteristic
406C2×D4×C11—22no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C22×C4×C11—22no—
410C22×C4×C11—22no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11—41no—
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11—41no—
452C22×Dic11—22no—
453C22×Dic11—41no—
454C22×Dic11—41no—
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C2×D44—22no—
467C2×D44—22no—
468C2×D44—22no—
469C2×D44—22no—
470C2×D44—22no—
471C2×D44—22no—
472C2×D44—22no—
473C2×D44—22no—
474C2×D44—22no—
475C2×D44—22no—
476C2×D44—22no—
477C2×D44—22no—
478C2×D44—22no—
479C2×D44—22no—
480C2×D44—41no—
481C2×D44—41no—
482C2×D44—41no—
483C2×D44—41no—
484C2×D44—41no—
485C2×D44—41no—
486C2×D44—41no—
487C2×D44—41no—
488C2×D44—41no—
489C2×D44—41no—
490C2×D44—41no—
491C2×D44—41no—
492C2×D44—41no—
493C2×C4×D11—22no—
494C2×C4×D11—22no—
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—22no—
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—41no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11—41no—
518C2×C4×D11—41no—
519C2×C4×D11—41no—
520C2×C4×D11—41no—
521C2×C4×D11—41no—
522C2×C4×D11—41no—
523C2×C4×D11—41no—
524C2×C4×D11—416no—
525C2×C4×D11C2×D414yes—
526C2×C4×D11C2×D414yes—
527C2×Dic22—22no—
528C2×Dic22—22no—
529C2×Dic22—41no—
530C2×Dic22—41no—
531C2×Dic22—41no—
532C2×Dic22—41no—
533C11×C4⋊C4—22no—
534C11×C4⋊C4—22no—
535C11×C4⋊C4—22no—
536C11×C4⋊C4—22no—
537C11×C4⋊C4—22no—
538C11×C4⋊C4—22no—
539C11×C4⋊C4—41no—
540C11×C4⋊C4—41no—
541C11×C4⋊C4—41no—
542C11×C4⋊C4—41no—
543C11×C4⋊C4—41no—
544C11×C22⋊C4—22no—
545C11×C22⋊C4—22no—
546C11×C22⋊C4—22no—
547C11×C22⋊C4—22no—
548C11×C22⋊C4—22no—
549C11×C22⋊C4—41no—
550C11×C22⋊C4—41no—
551C11×C22⋊C4—41no—
552C11×C22⋊C4—41no—
553C11×C22⋊C4C2×D414yes—
554C42×C11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—41no—
558C22⋊Dic11—41no—
559C22⋊Dic11—41no—
560C22⋊Dic11C2×D414yes—
561(C2×D11)⋊C4—22no—
562(C2×D11)⋊C4—22no—
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—22no—
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—
587(C2×D11)⋊C4—41no—
588(C2×D11)⋊C4—41no—
589(C2×D11)⋊C4—41no—
590(C2×D11)⋊C4—41no—
591(C2×D11)⋊C4—41no—
592(C2×D11)⋊C4—41no—
593(C2×D11)⋊C4—41no—
594(C2×D11)⋊C4—41no—
595(C2×D11)⋊C4C2×D414yes—
596(C2×D11)⋊C4C2×D414yes—
597C4⋊Dic11—22no—
598C4⋊Dic11—22no—
599C4⋊Dic11—22no—
600C4⋊Dic11—22no—
601C4⋊Dic11—22no—
602C4⋊Dic11—41no—
603C4⋊Dic11—41no—
604Dic11⋊C4—22no—
605Dic11⋊C4—22no—
606Dic11⋊C4—22no—
607Dic11⋊C4—22no—
608Dic11⋊C4—22no—
609Dic11⋊C4—22no—
610Dic11⋊C4—22no—
611Dic11⋊C4—41no—
612Dic11⋊C4—41no—
613Dic11⋊C4—41no—
614Dic11⋊C4—41no—
615Dic11⋊C4—41no—
616Dic11⋊C4—41no—
617Dic11⋊C4—41no—
618C4×Dic11—22no—
619C4×Dic11—22no—
620C4×Dic11—22no—
621C2×#538—111no—
622C2×#538—111no—
623#2847—111no—
624#2847—111no—
625#2722—111no—
626#2715—111no—
627#2715—111no—
628#2712—111no—
629#2695—111no—
630#2695D1111yescharacteristic, complemented
631#2693—111no—
632#2691—111no—
633#2691—111no—
634#2676—111no—
635#2676—111no—
636#2675—111no—
637#2672—111no—
638#2672—111no—
639#2671—111no—
640#2671—111no—
641#2617—111no—
642#2617—111no—
643#2564—111no—
644#2564—111no—
645#2543—111no—
646#2543—111no—
647#2417—111no—
648#2417—111no—
649#2416—111no—
650#2416—111no—
651C2×#385—111no—
652C23×C11—21no—
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×C11C22×D412yes—
666C23×C11C2511yescharacteristic
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—28no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
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—44no—
700C22×D11—44no—
701C22×D11—44no—
702C22×D11—44no—
703C22×D11—44no—
704C22×D11—44no—
705C22×D11C22×D412yes—
706C22×D11C22×D412yes—
707C22×D11H(5,𝔽2)12yes—
708C22×D112−1+412yes—
709D4×C11—82no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
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—44no—
747C2×C4×C11—82no—
748C2×C4×C11C22×D412yes—
749C2×C4×C11C22×D412yes—
750C2×C4×C11H(5,𝔽2)12yes—
751C22⋊D11—44no—
752C22⋊D11—82no—
753C22⋊D11—82no—
754C22⋊D11—82no—
755C22⋊D11—82no—
756C22⋊D11—82no—
757C22⋊D11—82no—
758C22⋊D11—82no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
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—44no—
790C2×Dic11C22×D412yes—
791C2×Dic11C22×D412yes—
792C2×Dic11H(5,𝔽2)12yes—
793D44—44no—
794D44—44no—
795D44—44no—
796D44—82no—
797D44—82no—
798D44—82no—
799D44—82no—
800D44—82no—
801D44—82no—
802C4×D11—44no—
803C4×D11—44no—
804C4×D11—44no—
805C4×D11—44no—
806C4×D11—44no—
807C4×D11—44no—
808C4×D11—82no—
809C4×D11—82no—
810C4×D11—82no—
811C4×D11—82no—
812C4×D11—82no—
813Dic22—82no—
814Dic22—82no—
815C24×C4—111no—
816#538—228no—
817#538—228no—
818C2×#126—111no—
819C2×#126—111no—
820C2×#126—111no—
821C2×#126C2×D1111yescharacteristic
822C2×#124—111no—
823C2×#124—111no—
824C2×#124—111no—
825C2×#124—111no—
826C2×#123—111no—
827C2×#123—111no—
828C2×#123—111no—
829C2×#123C2×D1111yescharacteristic
830C2×C22⋊Q8—111no—
831C2×C22⋊Q8—111no—
832C2×C22⋊Q8—111no—
833C2×C22⋊Q8—111no—
834C2×#121—111no—
835C2×#121—111no—
836C2×#121—111no—
837C2×#121—111no—
838C2×#121—111no—
839C2×#121—111no—
840C2×#121—111no—
841C2×#121—111no—
842C2×#121—111no—
843C2×#121—111no—
844C2×#121—111no—
845C2×#121—111no—
846C2×#121—111no—
847C2×#121—111no—
848C2×#121—111no—
849C2×#121—111no—
850C2×#120—111no—
851C2×#120—111no—
852C2×#120—111no—
853C2×#120—111no—
854C2×C4×D4—111no—
855C2×C4×D4—111no—
856C2×C4×D4—111no—
857C2×C4×D4—111no—
858C22×C4⋊C4—111no—
859C22×C4⋊C4—111no—
860C22×C22⋊C4—111no—
861C22×C22⋊C4—111no—
862#400—111no—
863#400C2×D1111yescharacteristic, complemented
864#399—111no—
865#399—111no—
866#398—111no—
867#398—111no—
868#398—111no—
869#398—111no—
870#398C2×D1111yescharacteristic, complemented
871#398C2×D1111yescharacteristic, complemented
872#397—111no—
873#397—111no—
874#397—111no—
875#397—111no—
876#397—111no—
877#397C2×D1111yescharacteristic
878#396—111no—
879#396—111no—
880#396—111no—
881#396—111no—
882#396—111no—
883#396—111no—
884#396—111no—
885#396C2×D1111yescharacteristic, complemented
886#395—111no—
887#395—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#394—111no—
900#394—111no—
901#394C2×D1111yescharacteristic
902#393—111no—
903#393—111no—
904#392—111no—
905#392—111no—
906#392—111no—
907#392—111no—
908#392—111no—
909#392—111no—
910#391—111no—
911#391—111no—
912#390—111no—
913#390—111no—
914#389—111no—
915#389—111no—
916#389—111no—
917#389C2×D1111yescharacteristic, complemented
918#388—111no—
919#388—111no—
920#388—111no—
921#388C2×D1111yescharacteristic, complemented
922#387—111no—
923#387—111no—
924#387—111no—
925#387—111no—
926#386—111no—
927#386—111no—
928#386—111no—
929#386—111no—
930#386—111no—
931#386—111no—
932#386—111no—
933#386—111no—
934#386—111no—
935#386—111no—
936#386—111no—
937#386—111no—
938#386—111no—
939#386—111no—
940#386—111no—
941#386—111no—
942#386—111no—
943#386—111no—
944#386—111no—
945#386C2×D1111yescharacteristic
946#385—111no—
947#385—111no—
948#385—111no—
949#385—111no—
950#385—111no—
951#385—111no—
952#385—111no—
953#385—111no—
954#385—111no—
955#385—111no—
956#385C2×D1111yescharacteristic
957#385C2×D1111yescharacteristic, complemented
958#380—111no—
959#380—111no—
960#380—111no—
961#380—111no—
962#380—111no—
963#380—111no—
964#380—111no—
965#380—111no—
966#380—111no—
967#380—111no—
968#380C2×D1111yescharacteristic
969#380C2×D1111yescharacteristic, complemented
970C2×#95—111no—
971C2×#95—111no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—41no—
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×C11C23×D411yescharacteristic
987C22×C11C2×H(5,𝔽2)11yescharacteristic
988C22×C11C2×H(5,𝔽2)11yescharacteristic
989C22×C11C2×H(5,𝔽2)11yescharacteristic
990C22×C11C2×2−1+411yescharacteristic
991C22×C11#58511yescharacteristic
992C22×C11#58511yescharacteristic
993C2×D11—22no—
994C2×D11—22no—
995C2×D11—22no—
996C2×D11—22no—
997C2×D11—22no—
998C2×D11—22no—
999C2×D11—22no—
1000C2×D11—22no—
1001C2×D11—22no—
1002C2×D11—416no—
1003C2×D11—41no—
1004C2×D11—41no—
1005C2×D11—41no—
1006C2×D11—41no—
1007C2×D11—41no—
1008C2×D11—41no—
1009C2×D11—41no—
1010C2×D11—41no—
1011C2×D11—41no—
1012C2×D11—41no—
1013C2×D11—41no—
1014C2×D11—41no—
1015C2×D11—41no—
1016C2×D11—41no—
1017C2×D11—41no—
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#53714yes—
1029C4×C11—22no—
1030C4×C11—22no—
1031C4×C11—22no—
1032C4×C11—41no—
1033C4×C11—41no—
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—
1053C25—111no—
1054C22×Q8—111no—
1055C22×Q8—111no—
1056C22×D4—111no—
1057C22×D4—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—111no—
1068C22×D4—111no—
1069C22×D4—111no—
1070C22×D4—111no—
1071C22×D4—111no—
1072C22×D4—111no—
1073C22×D4C22×D1111yescharacteristic
1074C23×C4—111no—
1075C23×C4—111no—
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—111no—
1086C23×C4—442no—
1087C23×C4—442no—
1088C23×C4—442no—
1089C23×C4C22×D1111yescharacteristic
1090C23×C4C22×D1111yescharacteristic
1091#126—24no—
1092#126—224no—
1093#126—224no—
1094#126—224no—
1095#124—224no—
1096#124—224no—
1097#124—224no—
1098#124—224no—
1099#123—24no—
1100#123—224no—
1101#123—224no—
1102#123—224no—
1103C22⋊Q8—224no—
1104C22⋊Q8—224no—
1105C22⋊Q8—442no—
1106C22⋊Q8—442no—
1107#121—224no—
1108#121—224no—
1109#121—224no—
1110#121—224no—
1111#121—224no—
1112#121—224no—
1113#121—442no—
1114#121—442no—
1115#121—442no—
1116#121—442no—
1117#121—442no—
1118#121—442no—
1119#121—442no—
1120#121—442no—
1121#121—442no—
1122#121—442no—
1123#120—224no—
1124#120—224no—
1125#120—224no—
1126#120—224no—
1127C4×D4—224no—
1128C4×D4—224no—
1129C4×D4—224no—
1130C4×D4—224no—
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—442no—
1153C2×C4⋊C4—442no—
1154C2×C4⋊C4C22×D1111yescharacteristic
1155C2×C4⋊C4C22×D1111yescharacteristic
1156C2×C4⋊C4C22×D1111yescharacteristic
1157C2×C4⋊C4C22×D1111yescharacteristic
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×C22⋊C4—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—118no—
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—442no—
1209C2×C22⋊C4C22×D1111yescharacteristic
1210C2×C22⋊C4C22×D1111yescharacteristic
1211C2×C22⋊C4C22×D1111yescharacteristic
1212C2×C22⋊C4C22×D1111yescharacteristic
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×C42—111no—
1220C2×C42—111no—
1221C2×C42—111no—
1222C2×C42C22×D1111yescharacteristic
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
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#95C22×D1111yescharacteristic
1246#95C22×D1111yescharacteristic
1247#95C22×D1111yescharacteristic
1248#95C22×D1111yescharacteristic
1249#95C22×D1111yescharacteristic
1250#95C22×D1111yescharacteristic
1251#95C22×D1111yescharacteristic
1252#95C22×D1111yescharacteristic
1253#95C22×D1111yescharacteristic
1254#95C22×D1111yescharacteristic
1255C2×C11—42no—
1256C2×C11—81no—
1257C2×C11C2×#53711yescharacteristic
1258C2×C11#349611yescharacteristic
1259C2×C11#349611yescharacteristic
1260C2×C11#353211yescharacteristic
1261C2×C11#353311yescharacteristic
1262C2×C11#354111yescharacteristic
1263C2×C11#354111yescharacteristic
1264D11—24no—
1265D11—42no—
1266D11—81no—
1267D11—81no—
1268D11—81no—
1269C24—111no—
1270C24—111no—
1271C24—114no—
1272C24—111no—
1273C24—111no—
1274C24—111no—
1275C24—222no—
1276C24—222no—
1277C24—441no—
1278C24—441no—
1279C24—441no—
1280C24—441no—
1281C24C23×D1111yescharacteristic
1282C24C23×D1111yescharacteristic
1283C2×Q8—222no—
1284C2×Q8—222no—
1285C2×Q8—441no—
1286C2×Q8—441no—
1287C2×Q8—441no—
1288C2×Q8—441no—
1289C2×D4—22no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—222no—
1293C2×D4—222no—
1294C2×D4—222no—
1295C2×D4—222no—
1296C2×D4—222no—
1297C2×D4—222no—
1298C2×D4—222no—
1299C2×D4—222no—
1300C2×D4—222no—
1301C2×D4—222no—
1302C2×D4—222no—
1303C2×D4—222no—
1304C2×D4—222no—
1305C2×D4—222no—
1306C2×D4—222no—
1307C2×D4—222no—
1308C2×D4—222no—
1309C2×D4—222no—
1310C2×D4—222no—
1311C2×D4—222no—
1312C2×D4—222no—
1313C2×D4—222no—
1314C2×D4—222no—
1315C2×D4—441no—
1316C2×D4—441no—
1317C2×D4—441no—
1318C2×D4—441no—
1319C2×D4—441no—
1320C2×D4—441no—
1321C2×D4—441no—
1322C2×D4—441no—
1323C2×D4—441no—
1324C2×D4—441no—
1325C2×D4—441no—
1326C2×D4—441no—
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—441no—
1341C2×D4—441no—
1342C2×D4—441no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—111no—
1350C22×C4—111no—
1351C22×C4—111no—
1352C22×C4—114no—
1353C22×C4—114no—
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—222no—
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—441no—
1385C22×C4—441no—
1386C22×C4—441no—
1387C22×C4—441no—
1388C22×C4—441no—
1389C22×C4—441no—
1390C22×C4—441no—
1391C22×C4—441no—
1392C22×C4—441no—
1393C22×C4—441no—
1394C22×C4—4416no—
1395C22×C4—441no—
1396C22×C4—441no—
1397C22×C4C23×D1111yescharacteristic
1398C22×C4C23×D1111yescharacteristic
1399C22×C4C23×D1111yescharacteristic
1400C22×C4C23×D1111yescharacteristic
1401C22×C4C23×D1111yescharacteristic
1402C22×C4C23×D1111yescharacteristic
1403C22×C4C23×D1111yescharacteristic
1404C22×C4C23×D1111yescharacteristic
1405C22×C4C23×D1111yescharacteristic
1406C22×C4C23×D1111yescharacteristic
1407C22×C4C23×D1111yescharacteristic
1408C22×C4C23×D1111yescharacteristic
1409C22×C4C23×D1111yescharacteristic
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—222no—
1422C4⋊C4—222no—
1423C4⋊C4—222no—
1424C4⋊C4—222no—
1425C4⋊C4—222no—
1426C4⋊C4—222no—
1427C4⋊C4—222no—
1428C4⋊C4—222no—
1429C4⋊C4—222no—
1430C4⋊C4—222no—
1431C4⋊C4—222no—
1432C4⋊C4—222no—
1433C4⋊C4—441no—
1434C4⋊C4—441no—
1435C4⋊C4—441no—
1436C4⋊C4—441no—
1437C4⋊C4—441no—
1438C4⋊C4—441no—
1439C4⋊C4—441no—
1440C4⋊C4—441no—
1441C4⋊C4—441no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—114no—
1452C22⋊C4—114no—
1453C22⋊C4—114no—
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—441no—
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⋊C4D4×D1114yes—
1494C42—22no—
1495C42—222no—
1496C42—222no—
1497C42—222no—
1498C11#3673811yescharacteristic, complemented, Sylow
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—112no—
1513C23—112no—
1514C23—112no—
1515C23—112no—
1516C23—228no—
1517C23—221no—
1518C23—221no—
1519C23—221no—
1520C23—221no—
1521C23—221no—
1522C23—221no—
1523C23—221no—
1524C23—221no—
1525C23—221no—
1526C23—221no—
1527C23—221no—
1528C23—221no—
1529C23—221no—
1530C23—221no—
1531C23—221no—
1532C23—221no—
1533C23—221no—
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—444no—
1549C23—444no—
1550C23—444no—
1551C23—444no—
1552C23—444no—
1553C23—444no—
1554C23C2×D4×D1112yes—
1555C23C24×D1111yescharacteristic
1556Q8—882no—
1557Q8—882no—
1558D4—82no—
1559D4—444no—
1560D4—444no—
1561D4—444no—
1562D4—444no—
1563D4—882no—
1564D4—882no—
1565D4—882no—
1566D4—882no—
1567D4—882no—
1568D4—882no—
1569D4—882no—
1570D4—882no—
1571D4—882no—
1572D4—882no—
1573D4—882no—
1574D4—882no—
1575D4—882no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
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—221no—
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—444no—
1648C2×C4—444no—
1649C2×C4—444no—
1650C2×C4—444no—
1651C2×C4—444no—
1652C2×C4—444no—
1653C2×C4—444no—
1654C2×C4—882no—
1655C2×C4—882no—
1656C2×C4—882no—
1657C2×C4—882no—
1658C2×C4—882no—
1659C2×C4C2×D4×D1112yes—
1660C2×C4C2×D4×D1112yes—
1661C2×C4#6704212yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—114no—
1677C22—222no—
1678C22—222no—
1679C22—222no—
1680C22—222no—
1681C22—222no—
1682C22—222no—
1683C22—222no—
1684C22—222no—
1685C22—222no—
1686C22—4416no—
1687C22—441no—
1688C22—441no—
1689C22—441no—
1690C22—441no—
1691C22—441no—
1692C22—441no—
1693C22—441no—
1694C22—441no—
1695C22—441no—
1696C22—441no—
1697C22—441no—
1698C22—441no—
1699C22—441no—
1700C22—441no—
1701C22—441no—
1702C22—441no—
1703C22—441no—
1704C22—441no—
1705C22—441no—
1706C22—441no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22—441no—
1712C22C22×D4×D1111yescharacteristic
1713C22C2×#6704211yescharacteristic
1714C22#1062345311yescharacteristic
1715C22D11×H(5,𝔽2)11yescharacteristic
1716C22D11×H(5,𝔽2)11yescharacteristic
1717C22D11×2−1+411yescharacteristic
1718C22#1062345711yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—222no—
1733C4—222no—
1734C4—222no—
1735C4—441no—
1736C4—441no—
1737C4—441no—
1738C4—441no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C2—42no—
1744C2—81no—
1745C2—224no—
1746C2—442no—
1747C2—881no—
1748C2—881no—
1749C2—881no—
1750C2D11×#53711yescharacteristic
1751C2#1308237411yescharacteristic
1752C2#1308237611yescharacteristic
1753C2#1308276711yescharacteristic
1754C2#1308279111yescharacteristic
1755C2#1308290611yescharacteristic
1756C2#1308291211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2695C2
hypercenter#2695D11
hypocenterC11#36738
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2695

Complements

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

NH ≅ G/Ntype
1. C2×#10623235C2semidirect
2. C2×#10623188C2semidirect
3. #13076899C2semidirect
4. #13076897C2semidirect
5. #13075525C2semidirect
6. #13075424C2semidirect
7. #13075423C2semidirect
8. #13075388C2semidirect
9. #13075144C2semidirect
10. #13075126C2semidirect
11. #13075104C2semidirect
12. #13075097C2semidirect
13. #13074920C2semidirect
14. #13074919C2semidirect
15. #13074907C2semidirect
16. #13074874C2semidirect
17. #13074864C2semidirect
18. #13074853C2semidirect
19. #13074852C2semidirect
20. #13074355C2semidirect
21. #13074351C2semidirect
22. #13073801C2semidirect
23. #13073799C2semidirect
24. #13073581C2semidirect
25. #13073577C2semidirect
26. #13072065C2semidirect
27. #13072062C2semidirect
28. #13072058C2semidirect
29. #13072051C2semidirect
30. D11×#385C2semidirect
31. C11×#2695C2semidirect
40. C2×#66983C22semidirect
47. C2×#66950C22semidirect
49. C2×#66949C22semidirect
69. C2×#66937C22semidirect
79. C11×#400C22semidirect
80. C11×#398C22semidirect
81. C11×#398C22semidirect
83. C11×#396C22semidirect
85. C11×#389C22semidirect
86. C11×#388C22semidirect
89. C11×#385C22semidirect
91. C11×#380C22semidirect
95. #10622823C22semidirect
96. #10622607C22semidirect
97. #10622607C22semidirect
98. #10622607C22semidirect
99. #10622607C22semidirect
100. #10622607C22semidirect
102. #10622606C22semidirect
103. #10622605C22semidirect
105. #10622604C22semidirect
106. #10622604C22semidirect
107. #10622603C22semidirect
108. #10622603C22semidirect
111. #10622601C22semidirect
115. #10622600C22semidirect
116. #10622597C22semidirect
117. #10622597C22semidirect
118. #10622592C22semidirect
119. #10622592C22semidirect
120. #10622591C22semidirect
121. #10622586C22semidirect
122. #10622585C22semidirect
125. #10622574C22semidirect
126. #10622574C22semidirect
129. #10622573C22semidirect
132. #10622572C22semidirect
133. #10622572C22semidirect
136. #10622570C22semidirect
140. #10622569C22semidirect
143. #10622562C22semidirect
144. #10622560C22semidirect
147. #10622553C22semidirect
148. #10622542C22semidirect
149. #10622289C22semidirect
150. #10622289C22semidirect
152. #10622288C22semidirect
153. #10622286C22semidirect
157. #10622284C22semidirect
160. #10622281C22semidirect
161. #10622281C22semidirect
165. #10622280C22semidirect
166. #10622280C22semidirect
176. #10622278C22semidirect
177. #10622278C22semidirect
178. #10622278C22semidirect
181. #10622274C22semidirect
182. #10622274C22semidirect
183. #10622271C22semidirect
184. #10622268C22semidirect
185. #10622268C22semidirect
186. #10622266C22semidirect
187. #10622260C22semidirect
188. #10622259C22semidirect
355. C22⋊C4×D11D4semidirect
630. #2695D11semidirect
863. #400C2×D11semidirect
870. #398C2×D11semidirect
871. #398C2×D11semidirect
885. #396C2×D11semidirect
917. #389C2×D11semidirect
921. #388C2×D11semidirect
957. #385C2×D11semidirect
969. #380C2×D11semidirect
1498. C11#36738semidirect

Maximal subgroups

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

subgroupindex
C2×#106232352
C2×#106231882
#130768992
#130768972
#130755252
#130754242
#130754232
#130753882
#130751442
#130751262
#130751042
#130750972
#130749202
#130749192
#130749072
#130748742
#130748642
#130748532
#130748522
#130743552
#130743512
#130738012
#130737992
#130735812
#130735772
#130720652
#130720622
#130720582
#130720512
D11×#3852
C11×#26952
#3673811