Finite Group Databasebeta

← #14960858

Subgroups — #14960858

Order 2816.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623091C211yesmaximal, characteristic, complemented
2C2×#10623359C211yesmaximal, characteristic, complemented
3#13076911C211yesmaximal, characteristic, complemented
4#13076897C211yesmaximal, characteristic, complemented
5#13075292C211yesmaximal, characteristic, complemented
6#13075247C211yesmaximal, characteristic, complemented
7#13075217C211yesmaximal, characteristic, complemented
8#13075206C211yesmaximal, characteristic, complemented
9#13075043C211yesmaximal, characteristic, complemented
10#13074977C211yesmaximal, characteristic, complemented
11#13074971C211yesmaximal, characteristic, complemented
12#13074964C211yesmaximal, characteristic, complemented
13#13074949C211yesmaximal, characteristic, complemented
14#13074948C211yesmaximal, characteristic, complemented
15#13074943C211yesmaximal, characteristic, complemented
16#13074934C211yesmaximal, characteristic, complemented
17#13074873C211yesmaximal, characteristic, complemented
18#13074839C211yesmaximal, characteristic, complemented
19#13074835C211yesmaximal, characteristic, complemented
20#13074828C211yesmaximal, characteristic, complemented
21#13074504C211yesmaximal, characteristic, complemented
22#13074461C211yesmaximal, characteristic, complemented
23#13074299C211yesmaximal, characteristic, complemented
24#13074242C211yesmaximal, characteristic, complemented
25#13074217C211yesmaximal, characteristic, complemented
26#13074198C211yesmaximal, characteristic, complemented
27#13073585C211yesmaximal, characteristic, complemented
28#13073508C211yesmaximal, characteristic, complemented
29#13071931C211yesmaximal, characteristic, complemented
30#13071258C211yesmaximal, characteristic, complemented
31C11×#2407C211yesmaximal, characteristic, complemented
32C22×C11×#41C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic, complemented
34C2×C11×C22⋊Q8C2211yescharacteristic, complemented
35C2×C11×#121C2211yescharacteristic, complemented
36C2×C4×D4×C11C2211yescharacteristic, complemented
37#10623359—28no—
38C2×#66999C2211yescharacteristic, complemented
39C2×#66999C2211yescharacteristic, complemented
40C2×#66993C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66991C2211yescharacteristic
44C2×#66991C2211yescharacteristic
45C2×#66990C2211yescharacteristic
46C2×#66990C2211yescharacteristic
47C2×#66990C2211yescharacteristic, complemented
48C2×#66990C2211yescharacteristic, complemented
49C2×#66990C2211yescharacteristic, complemented
50C2×#66990C2211yescharacteristic, complemented
51C2×#66988C2211yescharacteristic
52C2×#66988C2211yescharacteristic, complemented
53C2×#66983C2211yescharacteristic
54C2×#66982C2211yescharacteristic, complemented
55C2×C4×C22⋊D11C2211yescharacteristic
56C2×C4×C22⋊D11C2211yescharacteristic
57C2×C4×C22⋊D11C2211yescharacteristic, complemented
58C2×C4×C22⋊D11C2211yescharacteristic, complemented
59C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
60C2×#66979C2211yescharacteristic, complemented
61#10623091—28no—
62C2×#66951C2211yescharacteristic, complemented
63C2×#66947C2211yescharacteristic
64C2×#66947C2211yescharacteristic
65C2×#66939C2211yescharacteristic
66C2×#66938C2211yescharacteristic, complemented
67C2×#66938C2211yescharacteristic, complemented
68C2×#66937C2211yescharacteristic
69C2×#66937C2211yescharacteristic
70C2×#66935C2211yescharacteristic
71C2×#66935C2211yescharacteristic
72C2×#66935C2211yescharacteristic
73C2×#66935C2211yescharacteristic
74C2×#66931C2211yescharacteristic, complemented
75C2×#66929C2211yescharacteristic, complemented
76C2×#66928C2211yescharacteristic
77C11×#394C2211yescharacteristic
78C11×#394C2211yescharacteristic, complemented
79C11×#392C2211yescharacteristic
80C11×#392C2211yescharacteristic, complemented
81C11×#391C2211yescharacteristic, complemented
82C11×#390C2211yescharacteristic, complemented
83C11×#386C2211yescharacteristic, complemented
84C11×#386C2211yescharacteristic, complemented
85C11×#385C2211yescharacteristic, complemented
86C11×#385C2211yescharacteristic, complemented
87C11×#380C2211yescharacteristic, complemented
88#10622844C2211yescharacteristic, complemented
89#10622844C2211yescharacteristic, complemented
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622836C2211yescharacteristic
93#10622836C2211yescharacteristic
94#10622836C2211yescharacteristic, complemented
95#10622836C2211yescharacteristic, complemented
96#10622835C2211yescharacteristic, complemented
97#10622835C2211yescharacteristic, complemented
98#10622834C2211yescharacteristic, complemented
99#10622833C2211yescharacteristic
100#10622833C2211yescharacteristic, complemented
101#10622826C2211yescharacteristic
102#10622826C2211yescharacteristic
103#10622826C2211yescharacteristic, complemented
104#10622826C2211yescharacteristic, complemented
105#10622826C2211yescharacteristic, complemented
106#10622824C2211yescharacteristic, complemented
107#10622823C2211yescharacteristic, complemented
108#10622607C2211yescharacteristic, complemented
109#10622607C2211yescharacteristic, complemented
110#10622607C2211yescharacteristic, complemented
111#10622604C2211yescharacteristic
112#10622604C2211yescharacteristic
113#10622604C2211yescharacteristic
114#10622603C2211yescharacteristic, complemented
115#10622603C2211yescharacteristic, complemented
116#10622602C2211yescharacteristic, complemented
117#10622602C2211yescharacteristic, complemented
118#10622601C2211yescharacteristic
119#10622598C2211yescharacteristic, complemented
120#10622597C2211yescharacteristic, complemented
121#10622593C2211yescharacteristic, complemented
122#10622591C2211yescharacteristic, complemented
123#10622585C2211yescharacteristic, complemented
124#10622585C2211yescharacteristic, complemented
125#10622574C2211yescharacteristic, complemented
126#10622574C2211yescharacteristic, complemented
127#10622574C2211yescharacteristic, complemented
128#10622573C2211yescharacteristic
129#10622573C2211yescharacteristic
130#10622573C2211yescharacteristic
131#10622572C2211yescharacteristic
132#10622572C2211yescharacteristic
133#10622572C2211yescharacteristic, complemented
134#10622572C2211yescharacteristic, complemented
135#10622572C2211yescharacteristic, complemented
136#10622572C2211yescharacteristic, complemented
137#10622572C2211yescharacteristic, complemented
138#10622571C2211yescharacteristic
139#10622570C2211yescharacteristic
140#10622570C2211yescharacteristic
141#10622570C2211yescharacteristic
142#10622570C2211yescharacteristic
143#10622570C2211yescharacteristic, complemented
144#10622570C2211yescharacteristic, complemented
145#10622569C2211yescharacteristic, complemented
146#10622569C2211yescharacteristic, complemented
147#10622568C2211yescharacteristic, complemented
148#10622568C2211yescharacteristic, complemented
149#10622565C2211yescharacteristic, complemented
150#10622564C2211yescharacteristic, complemented
151#10622564C2211yescharacteristic, complemented
152#10622562C2211yescharacteristic, complemented
153#10622561C2211yescharacteristic, complemented
154#10622561C2211yescharacteristic, complemented
155#10622560C2211yescharacteristic, complemented
156#10622559C2211yescharacteristic, complemented
157#10622557C2211yescharacteristic, complemented
158#10622557C2211yescharacteristic, complemented
159#10622557C2211yescharacteristic, complemented
160#10622557C2211yescharacteristic, complemented
161#10622556C2211yescharacteristic, complemented
162#10622555C2211yescharacteristic, complemented
163#10622553C2211yescharacteristic, complemented
164#10622546C2211yescharacteristic, complemented
165#10622289C2211yescharacteristic, complemented
166#10622288C2211yescharacteristic, complemented
167#10622287C2211yescharacteristic, complemented
168#10622285C2211yescharacteristic
169#10622285C2211yescharacteristic
170#10622283C2211yescharacteristic, complemented
171#10622283C2211yescharacteristic, complemented
172#10622283C2211yescharacteristic, complemented
173#10622283C2211yescharacteristic, complemented
174#10622282C2211yescharacteristic, complemented
175#10622280C2211yescharacteristic, complemented
176#10622280C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic
179#10622278C2211yescharacteristic
180#10622278C2211yescharacteristic
181#10622277C2211yescharacteristic, complemented
182#10622277C2211yescharacteristic, complemented
183#10622271C2211yescharacteristic, complemented
184#10622270C2211yescharacteristic, complemented
185#10622269C2211yescharacteristic, complemented
186#10622262C2211yescharacteristic, complemented
187#10622261C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C2×C11×#41—24no—
192C2×C11×#41—42no—
193C2×C11×#41—42no—
194C22×Q8×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C22×D4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C22×C22⋊D11C2311yescharacteristic
215C22×C22⋊D11C2311yescharacteristic
216C22×C22⋊D11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C22×D44C2311yescharacteristic
220C22×D44C2311yescharacteristic
221C22×D44C2311yescharacteristic
222C22×D44C2311yescharacteristic
223C22×C4×D11—24no—
224C22×C4×D11—42no—
225C22×C4×D11—42no—
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×Dic22C2311yescharacteristic
231C11×C22⋊Q8—42no—
232C11×#121—42no—
233C4×D4×C11—24no—
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
251C2×C42×C11C2311yescharacteristic
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
268#66999—24no—
269#66999—24no—
270#66993—42no—
271#66992—24no—
272#66992—42no—
273#66991—24no—
274#66991—24no—
275#66990—24no—
276#66990—24no—
277#66990—24no—
278#66990—42no—
279#66990—42no—
280#66990—42no—
281#66988—24no—
282#66988—24no—
283#66983—24no—
284#66982—24no—
285C4×C22⋊D11—24no—
286C4×C22⋊D11—24no—
287C4×C22⋊D11—24no—
288C4×C22⋊D11D418yescomplemented
289C2×(C2×D11)⋊C4—24no—
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×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×(C2×D11)⋊C4C2311yescharacteristic
317C2×(C2×D11)⋊C4C2311yescharacteristic
318C2×(C2×D11)⋊C4C2311yescharacteristic
319C2×(C2×D11)⋊C4C2311yescharacteristic
320C2×(C2×D11)⋊C4C2311yescharacteristic
321C2×(C2×D11)⋊C4C2311yescharacteristic
322#66979—24no—
323C2×C4⋊Dic11C2311yescharacteristic
324C2×C4⋊Dic11C2311yescharacteristic
325C2×C4⋊Dic11C2311yescharacteristic
326C2×C4⋊Dic11C2311yescharacteristic
327C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
340C2×Dic11⋊C4C2311yescharacteristic
341C2×Dic11⋊C4C2311yescharacteristic
342C2×C4×Dic11C2311yescharacteristic
343C2×C4×Dic11C2311yescharacteristic
344C2×C4×Dic11C2311yescharacteristic
345C2×C4×Dic11C2311yescharacteristic
346C2×C4×Dic11C2311yescharacteristic
347C2×C4×Dic11C2311yescharacteristic
348#66951—24no—
349#66947—24no—
350#66947—42no—
351#66939—42no—
352#66938—24no—
353#66938—42no—
354#66937—24no—
355#66937—42no—
356#66935—24no—
357#66935—42no—
358#66935—42no—
359#66935—42no—
360#66931—24no—
361#66929—24no—
362#66928—24no—
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#36724—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11—41no—
403C23×D11—41no—
404C23×D11—41no—
405C23×D11—41no—
406C23×D11—41no—
407C23×D11—41no—
408C23×D11—41no—
409C23×D11—41no—
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C23×D11C2411yescharacteristic
413C23×D11C2411yescharacteristic
414C11×#41—416no—
415C2×Q8×C11—22no—
416C2×Q8×C11—22no—
417C2×Q8×C11—41no—
418C2×D4×C11—22no—
419C2×D4×C11—22no—
420C2×D4×C11—22no—
421C2×D4×C11—22no—
422C2×D4×C11—22no—
423C2×D4×C11—22no—
424C2×D4×C11—22no—
425C2×D4×C11—22no—
426C2×D4×C11—41no—
427C2×D4×C11—41no—
428C2×D4×C11—41no—
429C2×D4×C11—41no—
430C2×D4×C11—41no—
431C2×D4×C11—41no—
432C2×D4×C11—41no—
433C2×D4×C11—41no—
434C2×D4×C11—41no—
435C2×D4×C11—41no—
436C22×C4×C11—22no—
437C22×C4×C11—22no—
438C22×C4×C11—22no—
439C22×C4×C11—22no—
440C22×C4×C11—22no—
441C22×C4×C11—41no—
442C22×C4×C11—41no—
443C22×C4×C11—41no—
444C22×C4×C11—41no—
445C22×C4×C11—41no—
446C22×C4×C11—41no—
447C22×C4×C11C2×D414yes—
448C22×C4×C11C2411yescharacteristic
449C22×C4×C11C2411yescharacteristic
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C22×C4×C11C2411yescharacteristic
453C22×C4×C11C2411yescharacteristic
454C22×C4×C11C2411yescharacteristic
455C22×C4×C11C2411yescharacteristic
456C22×C4×C11C2411yescharacteristic
457C22×C4×C11C2411yescharacteristic
458C22×C4×C11C2411yescharacteristic
459C2×C22⋊D11—22no—
460C2×C22⋊D11—22no—
461C2×C22⋊D11—22no—
462C2×C22⋊D11—22no—
463C2×C22⋊D11—22no—
464C2×C22⋊D11—22no—
465C2×C22⋊D11—22no—
466C2×C22⋊D11—22no—
467C2×C22⋊D11—22no—
468C2×C22⋊D11—22no—
469C2×C22⋊D11—22no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C2×C22⋊D11—41no—
475C2×C22⋊D11—41no—
476C2×C22⋊D11—41no—
477C2×C22⋊D11—41no—
478C2×C22⋊D11—41no—
479C2×C22⋊D11—41no—
480C2×C22⋊D11—41no—
481C2×C22⋊D11—41no—
482C2×C22⋊D11—41no—
483C2×C22⋊D11—41no—
484C2×C22⋊D11—41no—
485C2×C22⋊D11—41no—
486C2×C22⋊D11—41no—
487C2×C22⋊D11—41no—
488C2×C22⋊D11—41no—
489C2×C22⋊D11—41no—
490C2×C22⋊D11—41no—
491C2×C22⋊D11—41no—
492C2×C22⋊D11—41no—
493C2×C22⋊D11—41no—
494C2×C22⋊D11C2×D414yes—
495C22×Dic11—22no—
496C22×Dic11—22no—
497C22×Dic11—22no—
498C22×Dic11—41no—
499C22×Dic11—41no—
500C22×Dic11—41no—
501C22×Dic11C2411yescharacteristic
502C22×Dic11C2411yescharacteristic
503C22×Dic11C2411yescharacteristic
504C22×Dic11C2411yescharacteristic
505C22×Dic11C2411yescharacteristic
506C22×Dic11C2411yescharacteristic
507C22×Dic11C2411yescharacteristic
508C22×Dic11C2411yescharacteristic
509C22×Dic11C2411yescharacteristic
510C22×Dic11C2411yescharacteristic
511C22×Dic11C2411yescharacteristic
512C22×Dic11C2411yescharacteristic
513C2×D44—22no—
514C2×D44—22no—
515C2×D44—22no—
516C2×D44—22no—
517C2×D44—41no—
518C2×D44—41no—
519C2×D44—41no—
520C2×D44—41no—
521C2×D44—41no—
522C2×D44—41no—
523C2×D44—41no—
524C2×D44—41no—
525C2×C4×D11—22no—
526C2×C4×D11—22no—
527C2×C4×D11—22no—
528C2×C4×D11—22no—
529C2×C4×D11—22no—
530C2×C4×D11—41no—
531C2×C4×D11—41no—
532C2×C4×D11—41no—
533C2×C4×D11—41no—
534C2×C4×D11—41no—
535C2×C4×D11—41no—
536C2×C4×D11—416no—
537C2×C4×D11C2×D414yes—
538C2×Dic22—22no—
539C2×Dic22—41no—
540C2×Dic22—41no—
541C11×C4⋊C4—22no—
542C11×C4⋊C4—22no—
543C11×C4⋊C4—41no—
544C11×C4⋊C4—41no—
545C11×C4⋊C4—41no—
546C11×C22⋊C4—22no—
547C11×C22⋊C4—22no—
548C11×C22⋊C4—22no—
549C11×C22⋊C4—22no—
550C11×C22⋊C4—41no—
551C11×C22⋊C4—41no—
552C11×C22⋊C4—41no—
553C11×C22⋊C4—41no—
554C11×C22⋊C4—41no—
555C11×C22⋊C4—41no—
556C11×C22⋊C4—41no—
557C11×C22⋊C4—41no—
558C42×C11—22no—
559C22⋊Dic11—22no—
560C22⋊Dic11—22no—
561C22⋊Dic11—22no—
562C22⋊Dic11—22no—
563C22⋊Dic11—22no—
564C22⋊Dic11—22no—
565C22⋊Dic11—41no—
566C22⋊Dic11—41no—
567C22⋊Dic11—41no—
568C22⋊Dic11—41no—
569C22⋊Dic11—41no—
570C22⋊Dic11—41no—
571C22⋊Dic11—41no—
572C22⋊Dic11—41no—
573C22⋊Dic11—41no—
574C22⋊Dic11C2×D414yes—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—22no—
578(C2×D11)⋊C4—22no—
579(C2×D11)⋊C4—22no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—22no—
582(C2×D11)⋊C4—22no—
583(C2×D11)⋊C4—22no—
584(C2×D11)⋊C4—22no—
585(C2×D11)⋊C4—22no—
586(C2×D11)⋊C4—22no—
587(C2×D11)⋊C4—22no—
588(C2×D11)⋊C4—22no—
589(C2×D11)⋊C4—22no—
590(C2×D11)⋊C4—22no—
591(C2×D11)⋊C4—22no—
592(C2×D11)⋊C4—41no—
593(C2×D11)⋊C4—41no—
594(C2×D11)⋊C4—41no—
595(C2×D11)⋊C4—41no—
596(C2×D11)⋊C4—41no—
597(C2×D11)⋊C4—41no—
598(C2×D11)⋊C4—41no—
599(C2×D11)⋊C4—41no—
600(C2×D11)⋊C4—41no—
601(C2×D11)⋊C4—41no—
602(C2×D11)⋊C4—41no—
603(C2×D11)⋊C4—41no—
604(C2×D11)⋊C4—41no—
605(C2×D11)⋊C4—41no—
606(C2×D11)⋊C4C2×D414yes—
607C4⋊Dic11—22no—
608C4⋊Dic11—22no—
609C4⋊Dic11—22no—
610C4⋊Dic11—41no—
611C4⋊Dic11—41no—
612Dic11⋊C4—22no—
613Dic11⋊C4—22no—
614Dic11⋊C4—22no—
615Dic11⋊C4—22no—
616Dic11⋊C4—22no—
617Dic11⋊C4—22no—
618Dic11⋊C4—41no—
619Dic11⋊C4—41no—
620Dic11⋊C4—41no—
621Dic11⋊C4—41no—
622Dic11⋊C4—41no—
623Dic11⋊C4—41no—
624Dic11⋊C4—41no—
625Dic11⋊C4C2×D414yes—
626C4×Dic11—22no—
627C4×Dic11—41no—
628C4×Dic11—41no—
629C4×Dic11—41no—
630C4×Dic11—41no—
631C4×Dic11C2×D414yes—
632C2×#538—111no—
633C2×#525—111no—
634#2849—111no—
635#2847—111no—
636#2705—111no—
637#2702—111no—
638#2700—111no—
639#2699—111no—
640#2687—111no—
641#2682—111no—
642#2681—111no—
643#2681—111no—
644#2679—111no—
645#2678—111no—
646#2678—111no—
647#2678—111no—
648#2672—111no—
649#2670—111no—
650#2669—111no—
651#2669—111no—
652#2635—111no—
653#2630—111no—
654#2610—111no—
655#2603—111no—
656#2601—111no—
657#2600—111no—
658#2544—111no—
659#2534—111no—
660#2407D1111yescharacteristic, complemented
661#2404—111no—
662#2319—111no—
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×C11—21no—
681C23×C11—21no—
682C23×C11—21no—
683C23×C11—21no—
684C23×C11—21no—
685C23×C11—21no—
686C23×C11—21no—
687C23×C11—21no—
688C23×C11—21no—
689C23×C11C22×D412yes—
690C23×C11H(5,𝔽2)12yes—
691C23×C11C2511yescharacteristic
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—21no—
701C22×D11—21no—
702C22×D11—21no—
703C22×D11—21no—
704C22×D11—21no—
705C22×D11—21no—
706C22×D11—21no—
707C22×D11—21no—
708C22×D11—21no—
709C22×D11—21no—
710C22×D11—21no—
711C22×D11—21no—
712C22×D11—21no—
713C22×D11—21no—
714C22×D11—21no—
715C22×D11—21no—
716C22×D11—21no—
717C22×D11—21no—
718C22×D11—44no—
719C22×D11—44no—
720C22×D11—44no—
721C22×D11—44no—
722C22×D11—44no—
723C22×D11—44no—
724C22×D11—44no—
725C22×D11—44no—
726C22×D11—82no—
727C22×D11—82no—
728C22×D11—82no—
729C22×D11—82no—
730C22×D11—82no—
731C22×D11—82no—
732C22×D11C22×D412yes—
733C22×D11H(5,𝔽2)12yes—
734Q8×C11—44no—
735D4×C11—44no—
736D4×C11—44no—
737D4×C11—44no—
738D4×C11—44no—
739D4×C11—82no—
740D4×C11—82no—
741C2×C4×C11—28no—
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—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11—21no—
772C2×C4×C11—44no—
773C2×C4×C11—44no—
774C2×C4×C11—82no—
775C2×C4×C11C22×D412yes—
776C2×C4×C11C22×D412yes—
777C2×C4×C11H(5,𝔽2)12yes—
778C22⋊D11—44no—
779C22⋊D11—44no—
780C22⋊D11—44no—
781C22⋊D11—44no—
782C22⋊D11—82no—
783C22⋊D11—82no—
784C22⋊D11—82no—
785C22⋊D11—82no—
786C22⋊D11—82no—
787C22⋊D11—82no—
788C22⋊D11—82no—
789C22⋊D11—82no—
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—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—21no—
818C2×Dic11—21no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—21no—
822C2×Dic11—21no—
823C2×Dic11—44no—
824C2×Dic11—82no—
825C2×Dic11C22×D412yes—
826C2×Dic11C22×D412yes—
827C2×Dic11C22×D412yes—
828D44—82no—
829D44—82no—
830D44—82no—
831D44—82no—
832C4×D11—44no—
833C4×D11—44no—
834C4×D11—44no—
835C4×D11—44no—
836Dic22—82no—
837C22×#41C2×D1111yescharacteristic
838C24×C4—111no—
839#538—228no—
840C2×#127—111no—
841C2×#126—111no—
842C2×#126—111no—
843C2×#124—111no—
844C2×#124—111no—
845C2×#124—111no—
846#525—228no—
847C2×#123—111no—
848C2×#123—111no—
849C2×#123—111no—
850C2×#123—111no—
851C2×#123—111no—
852C2×#123—111no—
853C2×C22⋊Q8—111no—
854C2×C22⋊Q8—111no—
855C2×C22⋊Q8—111no—
856C2×C22⋊Q8C2×D1111yescharacteristic, complemented
857C2×#121—111no—
858C2×#121—111no—
859C2×#121—111no—
860C2×#121—111no—
861C2×#121—111no—
862C2×#121—111no—
863C2×#121—111no—
864C2×#121C2×D1111yescharacteristic, complemented
865C2×#120—111no—
866C2×#120—111no—
867C2×#120—111no—
868C2×#120—111no—
869C2×#120—111no—
870C2×#120—111no—
871C2×#120—111no—
872C2×#120—111no—
873C2×#120—111no—
874C2×#120—111no—
875C2×C4×D4—111no—
876C2×C4×D4—111no—
877C2×C4×D4—111no—
878C2×C4×D4—111no—
879C2×C4×D4C2×D1111yescharacteristic, complemented
880C2×#117—111no—
881C22×C22⋊C4—111no—
882#400—111no—
883#399—111no—
884#398—111no—
885#398—111no—
886#398—111no—
887#397—111no—
888#397—111no—
889#397—111no—
890#396—111no—
891#396—111no—
892#396—111no—
893#396—111no—
894#396—111no—
895#396—111no—
896#395—111no—
897#394—111no—
898#394—111no—
899#394—111no—
900#394—111no—
901#394—111no—
902#394—111no—
903#394—111no—
904#394—111no—
905#394—111no—
906#394—111no—
907#394—111no—
908#394—111no—
909#394—111no—
910#394—111no—
911#394—111no—
912#394—111no—
913#394—111no—
914#394C2×D1111yescharacteristic
915#394C2×D1111yescharacteristic, complemented
916#393—111no—
917#393—111no—
918#393—111no—
919#392—111no—
920#392—111no—
921#392—111no—
922#392—111no—
923#392—111no—
924#392—111no—
925#392—111no—
926#392—111no—
927#392—111no—
928#392C2×D1111yescharacteristic
929#392C2×D1111yescharacteristic, complemented
930#391—111no—
931#391C2×D1111yescharacteristic, complemented
932#390—111no—
933#390—111no—
934#390—111no—
935#390—111no—
936#390—111no—
937#390—111no—
938#390—111no—
939#390—111no—
940#390C2×D1111yescharacteristic, complemented
941#389—111no—
942#389—111no—
943#389—111no—
944#388—111no—
945#388—111no—
946#388—111no—
947#388—111no—
948#388—111no—
949#388—111no—
950#388—111no—
951#388—111no—
952#388—111no—
953#388—111no—
954#388—111no—
955#388—111no—
956#388—111no—
957#388—111no—
958#387—111no—
959#387—111no—
960#386—111no—
961#386—111no—
962#386—111no—
963#386—111no—
964#386—111no—
965#386—111no—
966#386—111no—
967#386—111no—
968#386—111no—
969#386—111no—
970#386—111no—
971#386—111no—
972#386—111no—
973#386—111no—
974#386C2×D1111yescharacteristic, complemented
975#386C2×D1111yescharacteristic, complemented
976#385—111no—
977#385—111no—
978#385—111no—
979#385—111no—
980#385C2×D1111yescharacteristic, complemented
981#385C2×D1111yescharacteristic, complemented
982#381—111no—
983#381—111no—
984#381—111no—
985#381—111no—
986#380—111no—
987#380—111no—
988#380—111no—
989#380C2×D1111yescharacteristic, complemented
990#379—111no—
991#379—111no—
992C4×C4⋊C4—111no—
993#376—111no—
994C22×C11—22no—
995C22×C11—22no—
996C22×C11—22no—
997C22×C11—22no—
998C22×C11—22no—
999C22×C11—22no—
1000C22×C11—41no—
1001C22×C11—41no—
1002C22×C11—41no—
1003C22×C11—41no—
1004C22×C11—41no—
1005C22×C11—41no—
1006C22×C11—41no—
1007C22×C11—41no—
1008C22×C11—41no—
1009C22×C11—41no—
1010C22×C11—41no—
1011C22×C11—41no—
1012C22×C11—41no—
1013C22×C11—41no—
1014C22×C11—41no—
1015C22×C11—41no—
1016C22×C11—41no—
1017C22×C11—41no—
1018C22×C11—41no—
1019C22×C11—41no—
1020C22×C11—41no—
1021C22×C11—41no—
1022C22×C11C23×D411yescharacteristic
1023C22×C11C2×H(5,𝔽2)11yescharacteristic
1024C22×C11C2×H(5,𝔽2)11yescharacteristic
1025C22×C11C2×H(5,𝔽2)11yescharacteristic
1026C22×C11#58511yescharacteristic
1027C22×C11#58511yescharacteristic
1028C22×C11#58511yescharacteristic
1029C2×D11—22no—
1030C2×D11—22no—
1031C2×D11—22no—
1032C2×D11—22no—
1033C2×D11—22no—
1034C2×D11—22no—
1035C2×D11—416no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—88no—
1059C4×C11—22no—
1060C4×C11—22no—
1061C4×C11—22no—
1062C4×C11—41no—
1063C4×C11—41no—
1064C4×C11—41no—
1065C4×C11—41no—
1066C4×C11—41no—
1067C4×C11—41no—
1068C4×C11—41no—
1069C4×C11—41no—
1070Dic11—22no—
1071Dic11—22no—
1072Dic11—22no—
1073Dic11—41no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11—41no—
1077Dic11—41no—
1078Dic11—41no—
1079Dic11—41no—
1080Dic11—41no—
1081Dic11—41no—
1082C25—111no—
1083C25—111no—
1084C2×#41—24no—
1085C2×#41—42no—
1086C2×#41—42no—
1087C22×Q8—111no—
1088C22×Q8C22×D1111yescharacteristic
1089C22×D4—111no—
1090C22×D4—111no—
1091C22×D4—111no—
1092C22×D4—111no—
1093C22×D4—111no—
1094C22×D4—111no—
1095C22×D4—111no—
1096C22×D4—111no—
1097C22×D4—111no—
1098C22×D4—111no—
1099C22×D4—111no—
1100C22×D4—111no—
1101C22×D4—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—111no—
1105C22×D4C22×D1111yescharacteristic
1106C22×D4C22×D1111yescharacteristic
1107C22×D4C22×D1111yescharacteristic
1108C22×D4C22×D1111yescharacteristic
1109C22×D4C22×D1111yescharacteristic
1110C22×D4C22×D1111yescharacteristic
1111C23×C4—111no—
1112C23×C4—111no—
1113C23×C4—111no—
1114C23×C4—111no—
1115C23×C4—111no—
1116C23×C4—111no—
1117C23×C4—224no—
1118C23×C4—442no—
1119C23×C4—442no—
1120C23×C4C22×D1111yescharacteristic
1121C23×C4C22×D1111yescharacteristic
1122C23×C4C22×D1111yescharacteristic
1123C23×C4C22×D1111yescharacteristic
1124#127—442no—
1125#126—224no—
1126#126—224no—
1127#124—224no—
1128#124—224no—
1129#124—442no—
1130#123—224no—
1131#123—224no—
1132#123—224no—
1133#123—224no—
1134#123—442no—
1135#123—442no—
1136C22⋊Q8—42no—
1137C22⋊Q8—224no—
1138C22⋊Q8—224no—
1139C22⋊Q8—224no—
1140#121—42no—
1141#121—224no—
1142#121—224no—
1143#121—224no—
1144#121—224no—
1145#121—224no—
1146#121—442no—
1147#121—442no—
1148#120—224no—
1149#120—224no—
1150#120—224no—
1151#120—224no—
1152#120—442no—
1153#120—442no—
1154#120—442no—
1155#120—442no—
1156#120—442no—
1157#120—442no—
1158C4×D4—24no—
1159C4×D4—118no—
1160C4×D4—224no—
1161C4×D4—224no—
1162C4×D4—224no—
1163#117—224no—
1164C2×C4⋊C4—111no—
1165C2×C4⋊C4—111no—
1166C2×C4⋊C4—111no—
1167C2×C4⋊C4—111no—
1168C2×C4⋊C4—111no—
1169C2×C4⋊C4—111no—
1170C2×C4⋊C4—111no—
1171C2×C4⋊C4—111no—
1172C2×C4⋊C4—111no—
1173C2×C4⋊C4—111no—
1174C2×C4⋊C4—111no—
1175C2×C4⋊C4—111no—
1176C2×C4⋊C4—111no—
1177C2×C4⋊C4—111no—
1178C2×C4⋊C4—111no—
1179C2×C4⋊C4—111no—
1180C2×C4⋊C4—111no—
1181C2×C4⋊C4—111no—
1182C2×C4⋊C4—111no—
1183C2×C4⋊C4C22×D1111yescharacteristic
1184C2×C4⋊C4C22×D1111yescharacteristic
1185C2×C4⋊C4C22×D1111yescharacteristic
1186C2×C4⋊C4C22×D1111yescharacteristic
1187C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1211C2×C22⋊C4—111no—
1212C2×C22⋊C4—111no—
1213C2×C22⋊C4—111no—
1214C2×C22⋊C4—111no—
1215C2×C22⋊C4—111no—
1216C2×C22⋊C4—111no—
1217C2×C22⋊C4—111no—
1218C2×C22⋊C4—111no—
1219C2×C22⋊C4—111no—
1220C2×C22⋊C4—111no—
1221C2×C22⋊C4—111no—
1222C2×C22⋊C4—111no—
1223C2×C22⋊C4—111no—
1224C2×C22⋊C4—111no—
1225C2×C22⋊C4—111no—
1226C2×C22⋊C4—111no—
1227C2×C22⋊C4—111no—
1228C2×C22⋊C4—111no—
1229C2×C22⋊C4—111no—
1230C2×C22⋊C4—111no—
1231C2×C22⋊C4—111no—
1232C2×C22⋊C4—111no—
1233C2×C22⋊C4—111no—
1234C2×C22⋊C4—111no—
1235C2×C22⋊C4—111no—
1236C2×C22⋊C4—224no—
1237C2×C22⋊C4C22×D1111yescharacteristic
1238C2×C22⋊C4C22×D1111yescharacteristic
1239C2×C22⋊C4C22×D1111yescharacteristic
1240C2×C22⋊C4C22×D1111yescharacteristic
1241C2×C22⋊C4C22×D1111yescharacteristic
1242C2×C22⋊C4C22×D1111yescharacteristic
1243C2×C22⋊C4C22×D1111yescharacteristic
1244C2×C22⋊C4C22×D1111yescharacteristic
1245C2×C22⋊C4C22×D1111yescharacteristic
1246C2×C22⋊C4C22×D1111yescharacteristic
1247C2×C22⋊C4C22×D1111yescharacteristic
1248C2×C22⋊C4C22×D1111yescharacteristic
1249C2×C42—111no—
1250C2×C42—111no—
1251C2×C42—111no—
1252C2×C42—111no—
1253C2×C42—111no—
1254C2×C42—111no—
1255C2×C42C22×D1111yescharacteristic
1256#95—111no—
1257#95—111no—
1258#95—111no—
1259#95—111no—
1260#95—111no—
1261#95—111no—
1262#95—111no—
1263#95—111no—
1264#95—111no—
1265#95—111no—
1266#95—111no—
1267#95—111no—
1268#95—111no—
1269#95—111no—
1270#95—111no—
1271#95—111no—
1272#95—111no—
1273#95—111no—
1274#95—111no—
1275#95—111no—
1276#95—111no—
1277#95—111no—
1278#95C22×D1111yescharacteristic
1279#95C22×D1111yescharacteristic
1280#95C22×D1111yescharacteristic
1281#95C22×D1111yescharacteristic
1282#95C22×D1111yescharacteristic
1283#95C22×D1111yescharacteristic
1284C2×C11—42no—
1285C2×C11—42no—
1286C2×C11—81no—
1287C2×C11—81no—
1288C2×C11#344911yescharacteristic
1289C2×C11#348411yescharacteristic
1290C2×C11#348811yescharacteristic
1291C2×C11#353311yescharacteristic
1292C2×C11#353411yescharacteristic
1293C2×C11#354011yescharacteristic
1294C2×C11#354211yescharacteristic
1295D11—42no—
1296D11—42no—
1297D11—81no—
1298D11—81no—
1299C24—111no—
1300C24—111no—
1301C24—111no—
1302C24—111no—
1303C24—222no—
1304C24—222no—
1305C24—222no—
1306C24—222no—
1307C24—441no—
1308C24—441no—
1309C24—441no—
1310C24—441no—
1311C24—441no—
1312C24—441no—
1313C24—441no—
1314C24—441no—
1315C24—441no—
1316C24—441no—
1317C24C23×D1111yescharacteristic
1318C24C23×D1111yescharacteristic
1319C24C23×D1111yescharacteristic
1320C24C23×D1111yescharacteristic
1321#41—416no—
1322C2×Q8—22no—
1323C2×Q8—22no—
1324C2×Q8—41no—
1325C2×Q8—222no—
1326C2×Q8—441no—
1327C2×Q8—441no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—114no—
1347C2×D4—222no—
1348C2×D4—222no—
1349C2×D4—222no—
1350C2×D4—222no—
1351C2×D4—222no—
1352C2×D4—222no—
1353C2×D4—222no—
1354C2×D4—222no—
1355C2×D4—222no—
1356C2×D4—222no—
1357C2×D4—222no—
1358C2×D4—222no—
1359C2×D4—222no—
1360C2×D4—222no—
1361C2×D4—222no—
1362C2×D4—441no—
1363C2×D4—441no—
1364C2×D4—441no—
1365C2×D4—441no—
1366C2×D4—441no—
1367C2×D4—441no—
1368C2×D4—441no—
1369C2×D4—441no—
1370C2×D4—441no—
1371C2×D4—441no—
1372C2×D4—441no—
1373C2×D4—441no—
1374C2×D4—441no—
1375C2×D4—441no—
1376C2×D4—441no—
1377C2×D4—441no—
1378C2×D4—441no—
1379C2×D4—441no—
1380C2×D4—441no—
1381C2×D4—441no—
1382C2×D4—441no—
1383C2×D4—441no—
1384C2×D4—441no—
1385C2×D4—441no—
1386C2×D4—441no—
1387C2×D4—441no—
1388C2×D4—441no—
1389C2×D4—441no—
1390C2×D4—441no—
1391C2×D4—441no—
1392C2×D4—441no—
1393C2×D4—441no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—41no—
1405C22×C4—111no—
1406C22×C4—111no—
1407C22×C4—111no—
1408C22×C4—114no—
1409C22×C4—111no—
1410C22×C4—111no—
1411C22×C4—111no—
1412C22×C4—111no—
1413C22×C4—111no—
1414C22×C4—111no—
1415C22×C4—111no—
1416C22×C4—111no—
1417C22×C4—111no—
1418C22×C4—222no—
1419C22×C4—222no—
1420C22×C4—222no—
1421C22×C4—222no—
1422C22×C4—222no—
1423C22×C4—222no—
1424C22×C4—222no—
1425C22×C4—222no—
1426C22×C4—441no—
1427C22×C4—441no—
1428C22×C4—441no—
1429C22×C4—441no—
1430C22×C4—441no—
1431C22×C4—441no—
1432C22×C4—4416no—
1433C22×C4—441no—
1434C22×C4—441no—
1435C22×C4—441no—
1436C22×C4D4×D1114yes—
1437C22×C4C23×D1111yescharacteristic
1438C22×C4C23×D1111yescharacteristic
1439C22×C4C23×D1111yescharacteristic
1440C22×C4C23×D1111yescharacteristic
1441C22×C4C23×D1111yescharacteristic
1442C22×C4C23×D1111yescharacteristic
1443C22×C4C23×D1111yescharacteristic
1444C22×C4C23×D1111yescharacteristic
1445C22×C4C23×D1111yescharacteristic
1446C22×C4C23×D1111yescharacteristic
1447C22×C4C23×D1111yescharacteristic
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—114no—
1454C4⋊C4—222no—
1455C4⋊C4—222no—
1456C4⋊C4—222no—
1457C4⋊C4—222no—
1458C4⋊C4—222no—
1459C4⋊C4—222no—
1460C4⋊C4—222no—
1461C4⋊C4—222no—
1462C4⋊C4—222no—
1463C4⋊C4—441no—
1464C4⋊C4—441no—
1465C4⋊C4—441no—
1466C4⋊C4—441no—
1467C4⋊C4—441no—
1468C4⋊C4—441no—
1469C4⋊C4—441no—
1470C4⋊C4—441no—
1471C4⋊C4—441no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—114no—
1485C22⋊C4—114no—
1486C22⋊C4—222no—
1487C22⋊C4—222no—
1488C22⋊C4—222no—
1489C22⋊C4—222no—
1490C22⋊C4—222no—
1491C22⋊C4—222no—
1492C22⋊C4—222no—
1493C22⋊C4—222no—
1494C22⋊C4—222no—
1495C22⋊C4—222no—
1496C22⋊C4—222no—
1497C22⋊C4—222no—
1498C22⋊C4—222no—
1499C22⋊C4—222no—
1500C22⋊C4—222no—
1501C22⋊C4—222no—
1502C22⋊C4—222no—
1503C22⋊C4—222no—
1504C22⋊C4—222no—
1505C22⋊C4—222no—
1506C22⋊C4—222no—
1507C22⋊C4—222no—
1508C22⋊C4—222no—
1509C22⋊C4—441no—
1510C22⋊C4—441no—
1511C22⋊C4—441no—
1512C22⋊C4—441no—
1513C22⋊C4—441no—
1514C22⋊C4—441no—
1515C22⋊C4—441no—
1516C22⋊C4—441no—
1517C22⋊C4—441no—
1518C22⋊C4—441no—
1519C22⋊C4—441no—
1520C22⋊C4—441no—
1521C22⋊C4—441no—
1522C22⋊C4—441no—
1523C22⋊C4—441no—
1524C22⋊C4—441no—
1525C22⋊C4—441no—
1526C22⋊C4—441no—
1527C22⋊C4—441no—
1528C22⋊C4—441no—
1529C22⋊C4—441no—
1530C22⋊C4—441no—
1531C22⋊C4—441no—
1532C42—22no—
1533C42—114no—
1534C42—222no—
1535C42—441no—
1536C42—441no—
1537C42—441no—
1538C42—441no—
1539C11#3672411yescharacteristic, complemented, Sylow
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—112no—
1567C23—112no—
1568C23—221no—
1569C23—221no—
1570C23—221no—
1571C23—221no—
1572C23—221no—
1573C23—221no—
1574C23—221no—
1575C23—221no—
1576C23—221no—
1577C23—221no—
1578C23—221no—
1579C23—221no—
1580C23—221no—
1581C23—221no—
1582C23—221no—
1583C23—221no—
1584C23—221no—
1585C23—221no—
1586C23—221no—
1587C23—221no—
1588C23—221no—
1589C23—221no—
1590C23—221no—
1591C23—221no—
1592C23—221no—
1593C23—221no—
1594C23—444no—
1595C23—444no—
1596C23—444no—
1597C23—444no—
1598C23—444no—
1599C23—444no—
1600C23—444no—
1601C23—444no—
1602C23—882no—
1603C23—882no—
1604C23—882no—
1605C23—882no—
1606C23—882no—
1607C23—882no—
1608C23C2×D4×D1112yes—
1609C23#6703712yes—
1610C23C24×D1111yescharacteristic
1611Q8—44no—
1612Q8—882no—
1613D4—44no—
1614D4—44no—
1615D4—44no—
1616D4—44no—
1617D4—82no—
1618D4—82no—
1619D4—444no—
1620D4—444no—
1621D4—444no—
1622D4—444no—
1623D4—882no—
1624D4—882no—
1625D4—882no—
1626D4—882no—
1627D4—882no—
1628D4—882no—
1629D4—882no—
1630D4—882no—
1631D4—882no—
1632D4—882no—
1633D4—882no—
1634D4—882no—
1635C2×C4—28no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—82no—
1669C2×C4—112no—
1670C2×C4—112no—
1671C2×C4—112no—
1672C2×C4—221no—
1673C2×C4—221no—
1674C2×C4—221no—
1675C2×C4—221no—
1676C2×C4—221no—
1677C2×C4—221no—
1678C2×C4—221no—
1679C2×C4—221no—
1680C2×C4—221no—
1681C2×C4—221no—
1682C2×C4—221no—
1683C2×C4—221no—
1684C2×C4—221no—
1685C2×C4—221no—
1686C2×C4—221no—
1687C2×C4—221no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—221no—
1691C2×C4—221no—
1692C2×C4—221no—
1693C2×C4—221no—
1694C2×C4—221no—
1695C2×C4—221no—
1696C2×C4—221no—
1697C2×C4—221no—
1698C2×C4—221no—
1699C2×C4—221no—
1700C2×C4—221no—
1701C2×C4—221no—
1702C2×C4—221no—
1703C2×C4—221no—
1704C2×C4—221no—
1705C2×C4—444no—
1706C2×C4—444no—
1707C2×C4—444no—
1708C2×C4—444no—
1709C2×C4—444no—
1710C2×C4—882no—
1711C2×C4C2×D4×D1112yes—
1712C2×C4C2×D4×D1112yes—
1713C2×C4#6703712yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—222no—
1743C22—222no—
1744C22—222no—
1745C22—222no—
1746C22—222no—
1747C22—222no—
1748C22—4416no—
1749C22—441no—
1750C22—441no—
1751C22—441no—
1752C22—441no—
1753C22—441no—
1754C22—441no—
1755C22—441no—
1756C22—441no—
1757C22—441no—
1758C22—441no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—441no—
1766C22—441no—
1767C22—441no—
1768C22—441no—
1769C22—441no—
1770C22—441no—
1771C22—888no—
1772C22C22×D4×D1111yescharacteristic
1773C22C2×#6703711yescharacteristic
1774C22C2×#6703711yescharacteristic
1775C22#1062345311yescharacteristic
1776C22#1062345311yescharacteristic
1777C22D11×H(5,𝔽2)11yescharacteristic
1778C22#1062345711yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—222no—
1791C4—222no—
1792C4—222no—
1793C4—441no—
1794C4—441no—
1795C4—441no—
1796C4—441no—
1797C4—441no—
1798C4—441no—
1799C4—441no—
1800C4—441no—
1801C4—441no—
1802C2—42no—
1803C2—42no—
1804C2—81no—
1805C2—81no—
1806C2—442no—
1807C2—442no—
1808C2—881no—
1809C2—881no—
1810C2#1308194611yescharacteristic
1811C2#1308224511yescharacteristic
1812C2#1308228011yescharacteristic
1813C2#1308278611yescharacteristic
1814C2#1308279811yescharacteristic
1815C2#1308289011yescharacteristic
1816C2#1308292211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2407C2
hypercenter#2407D11
hypocenterC11#36724
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2407

Complements

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

NH ≅ G/Ntype
1. C2×#10623091C2semidirect
2. C2×#10623359C2semidirect
3. #13076911C2semidirect
4. #13076897C2semidirect
5. #13075292C2semidirect
6. #13075247C2semidirect
7. #13075217C2semidirect
8. #13075206C2semidirect
9. #13075043C2semidirect
10. #13074977C2semidirect
11. #13074971C2semidirect
12. #13074964C2semidirect
13. #13074949C2semidirect
14. #13074948C2semidirect
15. #13074943C2semidirect
16. #13074934C2semidirect
17. #13074873C2semidirect
18. #13074839C2semidirect
19. #13074835C2semidirect
20. #13074828C2semidirect
21. #13074504C2semidirect
22. #13074461C2semidirect
23. #13074299C2semidirect
24. #13074242C2semidirect
25. #13074217C2semidirect
26. #13074198C2semidirect
27. #13073585C2semidirect
28. #13073508C2semidirect
29. #13071931C2semidirect
30. #13071258C2semidirect
31. C11×#2407C2semidirect
33. C23×C4×D11C22semidirect
34. C2×C11×C22⋊Q8C22semidirect
35. C2×C11×#121C22semidirect
36. C2×C4×D4×C11C22semidirect
38. C2×#66999C22semidirect
39. C2×#66999C22semidirect
47. C2×#66990C22semidirect
48. C2×#66990C22semidirect
49. C2×#66990C22semidirect
50. C2×#66990C22semidirect
52. C2×#66988C22semidirect
54. C2×#66982C22semidirect
57. C2×C4×C22⋊D11C22semidirect
58. C2×C4×C22⋊D11C22semidirect
59. C22×(C2×D11)⋊C4C22semidirect
60. C2×#66979C22semidirect
62. C2×#66951C22semidirect
66. C2×#66938C22semidirect
67. C2×#66938C22semidirect
74. C2×#66931C22semidirect
75. C2×#66929C22semidirect
78. C11×#394C22semidirect
80. C11×#392C22semidirect
81. C11×#391C22semidirect
82. C11×#390C22semidirect
83. C11×#386C22semidirect
84. C11×#386C22semidirect
85. C11×#385C22semidirect
86. C11×#385C22semidirect
87. C11×#380C22semidirect
88. #10622844C22semidirect
89. #10622844C22semidirect
94. #10622836C22semidirect
95. #10622836C22semidirect
96. #10622835C22semidirect
97. #10622835C22semidirect
98. #10622834C22semidirect
100. #10622833C22semidirect
103. #10622826C22semidirect
104. #10622826C22semidirect
105. #10622826C22semidirect
106. #10622824C22semidirect
107. #10622823C22semidirect
108. #10622607C22semidirect
109. #10622607C22semidirect
110. #10622607C22semidirect
114. #10622603C22semidirect
115. #10622603C22semidirect
116. #10622602C22semidirect
117. #10622602C22semidirect
119. #10622598C22semidirect
120. #10622597C22semidirect
121. #10622593C22semidirect
122. #10622591C22semidirect
123. #10622585C22semidirect
124. #10622585C22semidirect
125. #10622574C22semidirect
126. #10622574C22semidirect
127. #10622574C22semidirect
133. #10622572C22semidirect
134. #10622572C22semidirect
135. #10622572C22semidirect
136. #10622572C22semidirect
137. #10622572C22semidirect
143. #10622570C22semidirect
144. #10622570C22semidirect
145. #10622569C22semidirect
146. #10622569C22semidirect
147. #10622568C22semidirect
148. #10622568C22semidirect
149. #10622565C22semidirect
150. #10622564C22semidirect
151. #10622564C22semidirect
152. #10622562C22semidirect
153. #10622561C22semidirect
154. #10622561C22semidirect
155. #10622560C22semidirect
156. #10622559C22semidirect
157. #10622557C22semidirect
158. #10622557C22semidirect
159. #10622557C22semidirect
160. #10622557C22semidirect
161. #10622556C22semidirect
162. #10622555C22semidirect
163. #10622553C22semidirect
164. #10622546C22semidirect
165. #10622289C22semidirect
166. #10622288C22semidirect
167. #10622287C22semidirect
170. #10622283C22semidirect
171. #10622283C22semidirect
172. #10622283C22semidirect
173. #10622283C22semidirect
174. #10622282C22semidirect
175. #10622280C22semidirect
176. #10622280C22semidirect
181. #10622277C22semidirect
182. #10622277C22semidirect
183. #10622271C22semidirect
184. #10622270C22semidirect
185. #10622269C22semidirect
186. #10622262C22semidirect
187. #10622261C22semidirect
188. #10622259C22semidirect
288. C4×C22⋊D11D4semidirect
660. #2407D11semidirect
856. C2×C22⋊Q8C2×D11semidirect
864. C2×#121C2×D11semidirect
879. C2×C4×D4C2×D11semidirect
915. #394C2×D11semidirect
929. #392C2×D11semidirect
931. #391C2×D11semidirect
940. #390C2×D11semidirect
974. #386C2×D11semidirect
975. #386C2×D11semidirect
980. #385C2×D11semidirect
981. #385C2×D11semidirect
989. #380C2×D11semidirect
1539. C11#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#106230912
C2×#106233592
#130769112
#130768972
#130752922
#130752472
#130752172
#130752062
#130750432
#130749772
#130749712
#130749642
#130749492
#130749482
#130749432
#130749342
#130748732
#130748392
#130748352
#130748282
#130745042
#130744612
#130742992
#130742422
#130742172
#130741982
#130735852
#130735082
#130719312
#130712582
C11×#24072
#3672411