Finite Group Databasebeta

← #14960848

Subgroups — #14960848

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×#10623144C211yesmaximal, characteristic, complemented
2C2×#10623078C211yesmaximal, characteristic, complemented
3#13076909C211yesmaximal, characteristic, complemented
4#13076895C211yesmaximal, characteristic, complemented
5#13075291C211yesmaximal, characteristic, complemented
6#13075246C211yesmaximal, characteristic, complemented
7#13075220C211yesmaximal, characteristic, complemented
8#13075206C211yesmaximal, characteristic, complemented
9#13075042C211yesmaximal, characteristic, complemented
10#13074983C211yesmaximal, characteristic, complemented
11#13074974C211yesmaximal, characteristic, complemented
12#13074970C211yesmaximal, characteristic, complemented
13#13074949C211yesmaximal, characteristic, complemented
14#13074948C211yesmaximal, characteristic, complemented
15#13074948C211yesmaximal, characteristic, complemented
16#13074934C211yesmaximal, characteristic, complemented
17#13074872C211yesmaximal, characteristic, complemented
18#13074841C211yesmaximal, characteristic, complemented
19#13074835C211yesmaximal, characteristic, complemented
20#13074827C211yesmaximal, characteristic, complemented
21#13074453C211yesmaximal, characteristic, complemented
22#13074301C211yesmaximal, characteristic, complemented
23#13074240C211yesmaximal, characteristic, complemented
24#13074219C211yesmaximal, characteristic, complemented
25#13074201C211yesmaximal, characteristic, complemented
26#13073585C211yesmaximal, characteristic, complemented
27#13073510C211yesmaximal, characteristic, complemented
28#13071958C211yesmaximal, characteristic, complemented
29#13071933C211yesmaximal, characteristic, complemented
30#13071256C211yesmaximal, characteristic, complemented
31C11×#2635C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic, complemented
34C2×C11×#121C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic, complemented
36C2×#66993C2211yescharacteristic
37C2×#66992C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66992C2211yescharacteristic, complemented
40C2×#66991C2211yescharacteristic
41C2×#66991C2211yescharacteristic
42C2×#66991C2211yescharacteristic
43C2×#66990C2211yescharacteristic
44C2×#66990C2211yescharacteristic
45C2×#66990C2211yescharacteristic, complemented
46C2×#66990C2211yescharacteristic, complemented
47C2×#66990C2211yescharacteristic, complemented
48C2×#66990C2211yescharacteristic, complemented
49C2×#66989C2211yescharacteristic
50C2×#66988C2211yescharacteristic, complemented
51C2×#66982C2211yescharacteristic
52C2×C4×C22⋊D11C2211yescharacteristic
53C2×C4×C22⋊D11C2211yescharacteristic, complemented
54#10623144—28no—
55#10623078—28no—
56C2×#66951C2211yescharacteristic, complemented
57C2×#66949C2211yescharacteristic, complemented
58C2×#66949C2211yescharacteristic, complemented
59C2×#66947C2211yescharacteristic
60C2×#66947C2211yescharacteristic
61C2×#66939C2211yescharacteristic
62C2×#66938C2211yescharacteristic, complemented
63C2×#66938C2211yescharacteristic, complemented
64C2×#66937C2211yescharacteristic
65C2×#66936C2211yescharacteristic, complemented
66C2×#66935C2211yescharacteristic
67C2×#66935C2211yescharacteristic
68C2×#66935C2211yescharacteristic
69C2×#66935C2211yescharacteristic
70C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
71C2×C22⋊C4×D11C2211yescharacteristic, complemented
72C2×#66932C2211yescharacteristic, complemented
73C2×#66931C2211yescharacteristic, complemented
74C2×#66931C2211yescharacteristic, complemented
75C2×C4×D44C2211yescharacteristic
76C2×#66925C2211yescharacteristic, complemented
77C11×#400C2211yescharacteristic, complemented
78C11×#399C2211yescharacteristic, complemented
79C11×#394C2211yescharacteristic
80C11×#394C2211yescharacteristic, complemented
81C11×#394C2211yescharacteristic, complemented
82C11×#392C2211yescharacteristic
83C11×#392C2211yescharacteristic, complemented
84C11×#392C2211yescharacteristic, complemented
85C11×#388C2211yescharacteristic, complemented
86C11×#388C2211yescharacteristic, complemented
87C11×#386C2211yescharacteristic, complemented
88C11×#386C2211yescharacteristic, complemented
89C11×#381C2211yescharacteristic, complemented
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622836C2211yescharacteristic
93#10622836C2211yescharacteristic, complemented
94#10622835C2211yescharacteristic, complemented
95#10622835C2211yescharacteristic, complemented
96#10622834C2211yescharacteristic, complemented
97#10622833C2211yescharacteristic
98#10622833C2211yescharacteristic, complemented
99#10622826C2211yescharacteristic, complemented
100#10622825C2211yescharacteristic, complemented
101#10622823C2211yescharacteristic, complemented
102#10622607C2211yescharacteristic, complemented
103#10622607C2211yescharacteristic, complemented
104#10622607C2211yescharacteristic, complemented
105#10622604C2211yescharacteristic
106#10622601C2211yescharacteristic
107#10622600C2211yescharacteristic, complemented
108#10622600C2211yescharacteristic, complemented
109#10622597C2211yescharacteristic, complemented
110#10622594C2211yescharacteristic, complemented
111#10622592C2211yescharacteristic, complemented
112#10622586C2211yescharacteristic, complemented
113#10622574C2211yescharacteristic, complemented
114#10622574C2211yescharacteristic, complemented
115#10622573C2211yescharacteristic
116#10622573C2211yescharacteristic
117#10622573C2211yescharacteristic
118#10622573C2211yescharacteristic
119#10622572C2211yescharacteristic
120#10622572C2211yescharacteristic
121#10622572C2211yescharacteristic
122#10622572C2211yescharacteristic, complemented
123#10622572C2211yescharacteristic, complemented
124#10622572C2211yescharacteristic, complemented
125#10622572C2211yescharacteristic, complemented
126#10622572C2211yescharacteristic, complemented
127#10622571C2211yescharacteristic, complemented
128#10622570C2211yescharacteristic
129#10622570C2211yescharacteristic
130#10622570C2211yescharacteristic
131#10622570C2211yescharacteristic
132#10622570C2211yescharacteristic, complemented
133#10622570C2211yescharacteristic, complemented
134#10622570C2211yescharacteristic, complemented
135#10622569C2211yescharacteristic
136#10622569C2211yescharacteristic
137#10622569C2211yescharacteristic, complemented
138#10622569C2211yescharacteristic, complemented
139#10622569C2211yescharacteristic, complemented
140#10622568C2211yescharacteristic, complemented
141#10622568C2211yescharacteristic, complemented
142#10622565C2211yescharacteristic, complemented
143#10622565C2211yescharacteristic, complemented
144#10622564C2211yescharacteristic, complemented
145#10622563C2211yescharacteristic, complemented
146#10622561C2211yescharacteristic, complemented
147#10622561C2211yescharacteristic, complemented
148#10622561C2211yescharacteristic, complemented
149#10622560C2211yescharacteristic, complemented
150#10622558C2211yescharacteristic, complemented
151#10622558C2211yescharacteristic, complemented
152#10622557C2211yescharacteristic, complemented
153#10622557C2211yescharacteristic, complemented
154#10622556C2211yescharacteristic, complemented
155#10622553C2211yescharacteristic, complemented
156#10622546C2211yescharacteristic, complemented
157#10622287C2211yescharacteristic, complemented
158#10622286C2211yescharacteristic, complemented
159#10622286C2211yescharacteristic, complemented
160#10622285C2211yescharacteristic
161#10622285C2211yescharacteristic
162#10622285C2211yescharacteristic
163#10622283C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic, complemented
165#10622283C2211yescharacteristic, complemented
166#10622282C2211yescharacteristic, complemented
167#10622282C2211yescharacteristic, complemented
168#10622282C2211yescharacteristic, complemented
169#10622281C2211yescharacteristic, complemented
170#10622281C2211yescharacteristic, complemented
171#10622281C2211yescharacteristic, complemented
172#10622281C2211yescharacteristic, complemented
173#10622280C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic
179#10622277C2211yescharacteristic, complemented
180#10622277C2211yescharacteristic, complemented
181#10622270C2211yescharacteristic, complemented
182#10622270C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622261C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, 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
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C2×#4339—24no—
214C2×#4339—42no—
215C2×#4339—42no—
216C22×D44C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C22×D44C2311yescharacteristic
219C22×D44C2311yescharacteristic
220C22×C4×D11—24no—
221C22×C4×D11—42no—
222C22×C4×D11—42no—
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×Dic22C2311yescharacteristic
230C22×Dic22C2311yescharacteristic
231C11×#121—24no—
232C4×D4×C11—24no—
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊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×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#66993—42no—
269#66992—24no—
270#66992—24no—
271#66992—42no—
272#66991—24no—
273#66991—42no—
274#66991—42no—
275#66990—24no—
276#66990—24no—
277#66990—24no—
278#66990—42no—
279#66990—42no—
280#66990—42no—
281#66989—24no—
282#66988—24no—
283#66982—24no—
284C4×C22⋊D11—24no—
285C4×C22⋊D11D418yescomplemented
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×(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×C4⋊Dic11C2311yescharacteristic
317C2×C4⋊Dic11C2311yescharacteristic
318C2×C4⋊Dic11C2311yescharacteristic
319C2×C4⋊Dic11C2311yescharacteristic
320C2×C4⋊Dic11C2311yescharacteristic
321C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338C2×C4×Dic11C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342#66951—24no—
343#66949—24no—
344#66949—24no—
345#66947—24no—
346#66947—42no—
347#66939—42no—
348#66938—24no—
349#66938—42no—
350#66937—24no—
351#66936—24no—
352#66935—24no—
353#66935—42no—
354#66935—42no—
355#66935—42no—
356(C22⋊D11)⋊C4—24no—
357C22⋊C4×D11—24no—
358#66932—24no—
359#66931—24no—
360#66931—42no—
361C4×D44—24no—
362#66925—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
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—
431C2×D4×C11—41no—
432C22×C4×C11—22no—
433C22×C4×C11—41no—
434C22×C4×C11—41no—
435C22×C4×C11—41no—
436C22×C4×C11—41no—
437C22×C4×C11C2×D414yes—
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
448C22×C4×C11C2411yescharacteristic
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—22no—
461C2×C22⋊D11—22no—
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—
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⋊D11C2×D414yes—
485C22×Dic11—22no—
486C22×Dic11—22no—
487C22×Dic11—22no—
488C22×Dic11—41no—
489C22×Dic11—41no—
490C22×Dic11—41no—
491C22×Dic11C2411yescharacteristic
492C22×Dic11C2411yescharacteristic
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
496C22×Dic11C2411yescharacteristic
497C22×Dic11C2411yescharacteristic
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2411yescharacteristic
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2411yescharacteristic
502C22×Dic11C2411yescharacteristic
503#4339—416no—
504C2×D44—22no—
505C2×D44—22no—
506C2×D44—22no—
507C2×D44—22no—
508C2×D44—22no—
509C2×D44—22no—
510C2×D44—41no—
511C2×D44—41no—
512C2×D44—41no—
513C2×D44—41no—
514C2×D44—41no—
515C2×D44—41no—
516C2×C4×D11—22no—
517C2×C4×D11—22no—
518C2×C4×D11—22no—
519C2×C4×D11—22no—
520C2×C4×D11—22no—
521C2×C4×D11—22no—
522C2×C4×D11—22no—
523C2×C4×D11—22no—
524C2×C4×D11—22no—
525C2×C4×D11—41no—
526C2×C4×D11—41no—
527C2×C4×D11—41no—
528C2×C4×D11—41no—
529C2×C4×D11—41no—
530C2×C4×D11—41no—
531C2×C4×D11—41no—
532C2×C4×D11—41no—
533C2×C4×D11—416no—
534C2×C4×D11C2×D414yes—
535C2×Dic22—22no—
536C2×Dic22—22no—
537C2×Dic22—22no—
538C2×Dic22—41no—
539C2×Dic22—41no—
540C2×Dic22—41no—
541C11×C4⋊C4—22no—
542C11×C4⋊C4—22no—
543C11×C4⋊C4—41no—
544C11×C4⋊C4—41no—
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⋊C4—41no—
554C11×C22⋊C4—41no—
555C11×C22⋊C4—41no—
556C11×C22⋊C4—41no—
557C11×C22⋊C4—41no—
558C11×C22⋊C4—41no—
559C42×C11—22no—
560C22⋊Dic11—22no—
561C22⋊Dic11—22no—
562C22⋊Dic11—22no—
563C22⋊Dic11—22no—
564C22⋊Dic11—22no—
565C22⋊Dic11—22no—
566C22⋊Dic11—22no—
567C22⋊Dic11—22no—
568C22⋊Dic11—41no—
569C22⋊Dic11—41no—
570C22⋊Dic11—41no—
571C22⋊Dic11—41no—
572C22⋊Dic11—41no—
573C22⋊Dic11—41no—
574C22⋊Dic11—41no—
575C22⋊Dic11C2×D414yes—
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—41no—
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)⋊C4C2×D414yes—
606C4⋊Dic11—22no—
607C4⋊Dic11—22no—
608C4⋊Dic11—22no—
609C4⋊Dic11—41no—
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#2635D1111yescharacteristic, complemented
653#2630—111no—
654#2610—111no—
655#2603—111no—
656#2601—111no—
657#2600—111no—
658#2544—111no—
659#2534—111no—
660#2407—111no—
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×C11—21no—
690C23×C11C22×D412yes—
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—44no—
718C22×D11—44no—
719C22×D11—44no—
720C22×D11—44no—
721C22×D11—44no—
722C22×D11—44no—
723C22×D11—44no—
724C22×D11—44no—
725C22×D11—82no—
726C22×D11—82no—
727C22×D11—82no—
728C22×D11—82no—
729C22×D11—82no—
730C22×D11—82no—
731C22×D11C22×D412yes—
732C22×D11H(5,𝔽2)12yes—
733C22×D11H(5,𝔽2)12yes—
734D4×C11—44no—
735D4×C11—82no—
736D4×C11—82no—
737D4×C11—82no—
738D4×C11—82no—
739D4×C11—82no—
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—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—44no—
772C2×C4×C11—44no—
773C2×C4×C11C22×D412yes—
774C2×C4×C11C22×D412yes—
775C22⋊D11—44no—
776C22⋊D11—44no—
777C22⋊D11—44no—
778C22⋊D11—44no—
779C22⋊D11—44no—
780C22⋊D11—82no—
781C22⋊D11—82no—
782C22⋊D11—82no—
783C22⋊D11—82no—
784C22⋊D11—82no—
785C22⋊D11—82no—
786C22⋊D11—82no—
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—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—44no—
820C2×Dic11—82no—
821C2×Dic11C22×D412yes—
822C2×Dic11C22×D412yes—
823C2×Dic11C22×D412yes—
824C2×Dic11H(5,𝔽2)12yes—
825D44—44no—
826D44—44no—
827D44—82no—
828D44—82no—
829C4×D11—28no—
830C4×D11—44no—
831C4×D11—44no—
832C4×D11—44no—
833C4×D11—44no—
834C4×D11—82no—
835Dic22—44no—
836Dic22—82no—
837C22×#41—111no—
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⋊Q8—111no—
857C2×#121—111no—
858C2×#121—111no—
859C2×#121—111no—
860C2×#121—111no—
861C2×#121—111no—
862C2×#121—111no—
863C2×#121—111no—
864C2×#121C2×D1111yescharacteristic
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#400C2×D1111yescharacteristic, complemented
883#399C2×D1111yescharacteristic, complemented
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#394C2×D1111yescharacteristic
914#394C2×D1111yescharacteristic, complemented
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#392C2×D1111yescharacteristic
928#392C2×D1111yescharacteristic, complemented
929#392C2×D1111yescharacteristic, complemented
930#391—111no—
931#391—111no—
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#390—111no—
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#388C2×D1111yescharacteristic, complemented
957#388C2×D1111yescharacteristic, complemented
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#385—111no—
981#385—111no—
982#381—111no—
983#381—111no—
984#381—111no—
985#381C2×D1111yescharacteristic, complemented
986#380—111no—
987#380—111no—
988#380—111no—
989#380—111no—
990#379—111no—
991#379—111no—
992C4×C4⋊C4—111no—
993#376—111no—
994C22×C11—22no—
995C22×C11—22no—
996C22×C11—22no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11—41no—
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—22no—
1036C2×D11—22no—
1037C2×D11—22no—
1038C2×D11—416no—
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—41no—
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—22no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11—41no—
1077Dic11—41no—
1078Dic11—41no—
1079Dic11—41no—
1080Dic11—41no—
1081Dic11—41no—
1082C25—111no—
1083C25—111no—
1084C2×#41—224no—
1085C2×#41—442no—
1086C2×#41—442no—
1087C22×Q8—111no—
1088C22×Q8—111no—
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—111no—
1118C23×C4—111no—
1119C23×C4—224no—
1120C23×C4—442no—
1121C23×C4—442no—
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—224no—
1137C22⋊Q8—224no—
1138C22⋊Q8—224no—
1139C22⋊Q8—442no—
1140#121—24no—
1141#121—224no—
1142#121—224no—
1143#121—224no—
1144#121—224no—
1145#121—442no—
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⋊C4—111no—
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—224no—
1235C2×C22⋊C4C22×D1111yescharacteristic
1236C2×C22⋊C4C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1277#95C22×D1111yescharacteristic
1278#95C22×D1111yescharacteristic
1279#95C22×D1111yescharacteristic
1280#95C22×D1111yescharacteristic
1281#95C22×D1111yescharacteristic
1282#95C22×D1111yescharacteristic
1283#95C22×D1111yescharacteristic
1284C2×C11—42no—
1285C2×C11—81no—
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—42no—
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—4416no—
1322C2×Q8—222no—
1323C2×Q8—222no—
1324C2×Q8—222no—
1325C2×Q8—441no—
1326C2×Q8—441no—
1327C2×Q8—441no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
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—222no—
1363C2×D4—222no—
1364C2×D4—222no—
1365C2×D4—222no—
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—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—111no—
1400C22×C4—111no—
1401C22×C4—111no—
1402C22×C4—111no—
1403C22×C4—114no—
1404C22×C4—111no—
1405C22×C4—111no—
1406C22×C4—111no—
1407C22×C4—111no—
1408C22×C4—111no—
1409C22×C4—111no—
1410C22×C4—111no—
1411C22×C4—111no—
1412C22×C4—222no—
1413C22×C4—222no—
1414C22×C4—222no—
1415C22×C4—222no—
1416C22×C4—222no—
1417C22×C4—222no—
1418C22×C4—222no—
1419C22×C4—222no—
1420C22×C4—222no—
1421C22×C4—222no—
1422C22×C4—222no—
1423C22×C4—222no—
1424C22×C4—441no—
1425C22×C4—441no—
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—114no—
1453C4⋊C4—222no—
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—441no—
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—41no—
1485C22⋊C4—41no—
1486C22⋊C4—114no—
1487C22⋊C4—114no—
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—222no—
1510C22⋊C4—222no—
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—21no—
1567C23—112no—
1568C23—112no—
1569C23—112no—
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—221no—
1595C23—444no—
1596C23—444no—
1597C23—444no—
1598C23—444no—
1599C23—444no—
1600C23—444no—
1601C23—444no—
1602C23—444no—
1603C23—882no—
1604C23—882no—
1605C23—882no—
1606C23—882no—
1607C23—882no—
1608C23—882no—
1609C23C2×D4×D1112yes—
1610C23C24×D1111yescharacteristic
1611Q8—444no—
1612Q8—882no—
1613D4—44no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—444no—
1620D4—444no—
1621D4—444no—
1622D4—444no—
1623D4—444no—
1624D4—444no—
1625D4—444no—
1626D4—882no—
1627D4—882no—
1628D4—882no—
1629D4—882no—
1630D4—882no—
1631D4—882no—
1632D4—882no—
1633D4—882no—
1634D4—882no—
1635C2×C4—21no—
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—112no—
1669C2×C4—112no—
1670C2×C4—112no—
1671C2×C4—112no—
1672C2×C4—228no—
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×C4—882no—
1712C2×C4C2×D4×D1112yes—
1713C2×C4C2×D4×D1112yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
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—222no—
1749C22—222no—
1750C22—222no—
1751C22—4416no—
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
1773C22#1062345311yescharacteristic
1774C22#1062345311yescharacteristic
1775C22D11×H(5,𝔽2)11yescharacteristic
1776C22D11×H(5,𝔽2)11yescharacteristic
1777C22D11×H(5,𝔽2)11yescharacteristic
1778C22#1062345511yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—222no—
1791C4—222no—
1792C4—222no—
1793C4—222no—
1794C4—441no—
1795C4—441no—
1796C4—441no—
1797C4—441no—
1798C4—441no—
1799C4—441no—
1800C4—441no—
1801C4—441no—
1802C2—42no—
1803C2—81no—
1804C2—81no—
1805C2—81no—
1806C2—442no—
1807C2—442no—
1808C2—442no—
1809C2—881no—
1810C2#1308194611yescharacteristic
1811C2#1308224811yescharacteristic
1812C2#1308228311yescharacteristic
1813C2#1308277611yescharacteristic
1814C2#1308280511yescharacteristic
1815C2#1308288711yescharacteristic
1816C2#1308292311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2635C2
hypercenter#2635D11
hypocenterC11#36724
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2635

Complements

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

NH ≅ G/Ntype
1. C2×#10623144C2semidirect
2. C2×#10623078C2semidirect
3. #13076909C2semidirect
4. #13076895C2semidirect
5. #13075291C2semidirect
6. #13075246C2semidirect
7. #13075220C2semidirect
8. #13075206C2semidirect
9. #13075042C2semidirect
10. #13074983C2semidirect
11. #13074974C2semidirect
12. #13074970C2semidirect
13. #13074949C2semidirect
14. #13074948C2semidirect
15. #13074948C2semidirect
16. #13074934C2semidirect
17. #13074872C2semidirect
18. #13074841C2semidirect
19. #13074835C2semidirect
20. #13074827C2semidirect
21. #13074453C2semidirect
22. #13074301C2semidirect
23. #13074240C2semidirect
24. #13074219C2semidirect
25. #13074201C2semidirect
26. #13073585C2semidirect
27. #13073510C2semidirect
28. #13071958C2semidirect
29. #13071933C2semidirect
30. #13071256C2semidirect
31. C11×#2635C2semidirect
33. C23×C4×D11C22semidirect
35. C2×C4×D4×C11C22semidirect
39. C2×#66992C22semidirect
45. C2×#66990C22semidirect
46. C2×#66990C22semidirect
47. C2×#66990C22semidirect
48. C2×#66990C22semidirect
50. C2×#66988C22semidirect
53. C2×C4×C22⋊D11C22semidirect
56. C2×#66951C22semidirect
57. C2×#66949C22semidirect
58. C2×#66949C22semidirect
62. C2×#66938C22semidirect
63. C2×#66938C22semidirect
65. C2×#66936C22semidirect
70. C2×(C22⋊D11)⋊C4C22semidirect
71. C2×C22⋊C4×D11C22semidirect
72. C2×#66932C22semidirect
73. C2×#66931C22semidirect
74. C2×#66931C22semidirect
76. C2×#66925C22semidirect
77. C11×#400C22semidirect
78. C11×#399C22semidirect
80. C11×#394C22semidirect
81. C11×#394C22semidirect
83. C11×#392C22semidirect
84. C11×#392C22semidirect
85. C11×#388C22semidirect
86. C11×#388C22semidirect
87. C11×#386C22semidirect
88. C11×#386C22semidirect
89. C11×#381C22semidirect
93. #10622836C22semidirect
94. #10622835C22semidirect
95. #10622835C22semidirect
96. #10622834C22semidirect
98. #10622833C22semidirect
99. #10622826C22semidirect
100. #10622825C22semidirect
101. #10622823C22semidirect
102. #10622607C22semidirect
103. #10622607C22semidirect
104. #10622607C22semidirect
107. #10622600C22semidirect
108. #10622600C22semidirect
109. #10622597C22semidirect
110. #10622594C22semidirect
111. #10622592C22semidirect
112. #10622586C22semidirect
113. #10622574C22semidirect
114. #10622574C22semidirect
122. #10622572C22semidirect
123. #10622572C22semidirect
124. #10622572C22semidirect
125. #10622572C22semidirect
126. #10622572C22semidirect
127. #10622571C22semidirect
132. #10622570C22semidirect
133. #10622570C22semidirect
134. #10622570C22semidirect
137. #10622569C22semidirect
138. #10622569C22semidirect
139. #10622569C22semidirect
140. #10622568C22semidirect
141. #10622568C22semidirect
142. #10622565C22semidirect
143. #10622565C22semidirect
144. #10622564C22semidirect
145. #10622563C22semidirect
146. #10622561C22semidirect
147. #10622561C22semidirect
148. #10622561C22semidirect
149. #10622560C22semidirect
150. #10622558C22semidirect
151. #10622558C22semidirect
152. #10622557C22semidirect
153. #10622557C22semidirect
154. #10622556C22semidirect
155. #10622553C22semidirect
156. #10622546C22semidirect
157. #10622287C22semidirect
158. #10622286C22semidirect
159. #10622286C22semidirect
163. #10622283C22semidirect
164. #10622283C22semidirect
165. #10622283C22semidirect
166. #10622282C22semidirect
167. #10622282C22semidirect
168. #10622282C22semidirect
169. #10622281C22semidirect
170. #10622281C22semidirect
171. #10622281C22semidirect
172. #10622281C22semidirect
173. #10622280C22semidirect
179. #10622277C22semidirect
180. #10622277C22semidirect
181. #10622270C22semidirect
182. #10622270C22semidirect
183. #10622262C22semidirect
184. #10622261C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
285. C4×C22⋊D11D4semidirect
652. #2635D11semidirect
879. C2×C4×D4C2×D11semidirect
882. #400C2×D11semidirect
883. #399C2×D11semidirect
914. #394C2×D11semidirect
915. #394C2×D11semidirect
928. #392C2×D11semidirect
929. #392C2×D11semidirect
956. #388C2×D11semidirect
957. #388C2×D11semidirect
974. #386C2×D11semidirect
975. #386C2×D11semidirect
985. #381C2×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×#106231442
C2×#106230782
#130769092
#130768952
#130752912
#130752462
#130752202
#130752062
#130750422
#130749832
#130749742
#130749702
#130749492
#130749482
#130749342
#130748722
#130748412
#130748352
#130748272
#130744532
#130743012
#130742402
#130742192
#130742012
#130735852
#130735102
#130719582
#130719332
#130712562
C11×#26352
#3672411