Finite Group Databasebeta

← #14926433

Subgroups — #14926433

Order 2816.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623144C211yesmaximal, characteristic, complemented
2C22×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
3#13076933C211yesmaximal, characteristic, complemented
4#13076915C211yesmaximal, characteristic, complemented
5#13076906C211yesmaximal, characteristic, complemented
6#13076896C211yesmaximal, characteristic, complemented
7#13074520C211yesmaximal, characteristic, complemented
8#13074502C211yesmaximal, characteristic, complemented
9#13074473C211yesmaximal, characteristic, complemented
10#13074456C211yesmaximal, characteristic, complemented
11#13072879C211yesmaximal, characteristic, complemented
12#13072736C211yesmaximal, characteristic, complemented
13#13072673C211yesmaximal, characteristic, complemented
14#13072551C211yesmaximal, characteristic, complemented
15#13072513C211yesmaximal, characteristic, complemented
16#13072512C211yesmaximal, characteristic, complemented
17#13072435C211yesmaximal, characteristic, complemented
18#13072359C211yesmaximal, characteristic, complemented
19#13072345C211yesmaximal, characteristic, complemented
20#13072281C211yesmaximal, characteristic, complemented
21#13072155C211yesmaximal, characteristic, complemented
22#13072071C211yesmaximal, characteristic, complemented
23#13071987C211yesmaximal, characteristic, complemented
24#13071986C211yesmaximal, characteristic, complemented
25#13071927C211yesmaximal, characteristic, complemented
26#13071318C211yesmaximal, characteristic, complemented
27#13071275C211yesmaximal, characteristic, complemented
28#13071246C211yesmaximal, characteristic, complemented
29C4×#66990C211yesmaximal, characteristic, complemented
30D11×#386C211yesmaximal, characteristic, complemented
31C11×#2424C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C24×Dic11C2211yescharacteristic, complemented
34C22×D4×D11C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic
36C2×C11×#121C2211yescharacteristic
37C2×C11×#121C2211yescharacteristic, complemented
38C2×C11×#120C2211yescharacteristic
39C2×C11×#120C2211yescharacteristic, complemented
40C2×C4×D4×C11C2211yescharacteristic, complemented
41C22×C11×C22⋊C4C2211yescharacteristic, complemented
42C2×#67006C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic, complemented
45C2×#66992C2211yescharacteristic, complemented
46C2×#66991C2211yescharacteristic
47C2×#66991C2211yescharacteristic
48C2×#66990C2211yescharacteristic
49C2×#66990C2211yescharacteristic
50C2×#66990C2211yescharacteristic
51C2×#66990C2211yescharacteristic, complemented
52C2×#66989C2211yescharacteristic, complemented
53C2×#66988C2211yescharacteristic, complemented
54C2×#66988C2211yescharacteristic, complemented
55C2×#66982C2211yescharacteristic, complemented
56C2×C4×C22⋊D11C2211yescharacteristic, complemented
57C2×C4×C22⋊D11C2211yescharacteristic, complemented
58C22×(C2×D11)⋊C4C2211yescharacteristic
59C2×#66977C2211yescharacteristic, complemented
60C22×Dic11⋊C4C2211yescharacteristic, complemented
61C22×C4×Dic11C2211yescharacteristic, complemented
62#10623144—28no—
63C2×#66951C2211yescharacteristic, complemented
64C2×#66949C2211yescharacteristic, complemented
65C2×#66938C2211yescharacteristic, complemented
66C2×(C22⋊D11)⋊C4—28no—
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×(C22⋊D11)⋊C4C2211yescharacteristic
69C2×(C22⋊D11)⋊C4C2211yescharacteristic
70C2×(C22⋊D11)⋊C4C2211yescharacteristic
71C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
72C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
73C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
74C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
75C2×C22⋊C4×D11C2211yescharacteristic
76C2×C22⋊C4×D11C2211yescharacteristic, complemented
77C2×C22⋊C4×D11C2211yescharacteristic, complemented
78C2×#66932C2211yescharacteristic, complemented
79C11×#396C2211yescharacteristic, complemented
80C11×#394C2211yescharacteristic, complemented
81C11×#394C2211yescharacteristic, complemented
82C11×#392C2211yescharacteristic, complemented
83C11×#390C2211yescharacteristic, complemented
84C11×#388C2211yescharacteristic, complemented
85C11×#386C2211yescharacteristic
86C11×#386C2211yescharacteristic, complemented
87C11×#385C2211yescharacteristic, complemented
88#10622860C2211yescharacteristic, complemented
89#10622836C2211yescharacteristic
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic, complemented
92#10622836C2211yescharacteristic, complemented
93#10622836C2211yescharacteristic, complemented
94#10622834C2211yescharacteristic, complemented
95#10622833C2211yescharacteristic
96#10622833C2211yescharacteristic
97#10622833C2211yescharacteristic
98#10622833C2211yescharacteristic, complemented
99#10622833C2211yescharacteristic, complemented
100#10622833C2211yescharacteristic, complemented
101#10622833C2211yescharacteristic, complemented
102#10622833C2211yescharacteristic, complemented
103#10622833C2211yescharacteristic, complemented
104#10622826C2211yescharacteristic
105#10622826C2211yescharacteristic
106#10622823C2211yescharacteristic, complemented
107C4×C22⋊Dic11C2211yescharacteristic, complemented
108#10622607C2211yescharacteristic, complemented
109#10622605C2211yescharacteristic, complemented
110#10622605C2211yescharacteristic, complemented
111#10622604C2211yescharacteristic, complemented
112#10622603C2211yescharacteristic, complemented
113#10622602C2211yescharacteristic, complemented
114#10622602C2211yescharacteristic, complemented
115#10622602C2211yescharacteristic, complemented
116#10622602C2211yescharacteristic, complemented
117#10622594C2211yescharacteristic, complemented
118#10622593C2211yescharacteristic, complemented
119#10622591C2211yescharacteristic, complemented
120#10622590C2211yescharacteristic, complemented
121#10622587C2211yescharacteristic, complemented
122#10622574C2211yescharacteristic, complemented
123#10622574C2211yescharacteristic, complemented
124#10622574C2211yescharacteristic, complemented
125#10622573C2211yescharacteristic
126#10622573C2211yescharacteristic
127#10622573C2211yescharacteristic, complemented
128#10622572C2211yescharacteristic, complemented
129#10622572C2211yescharacteristic, complemented
130#10622572C2211yescharacteristic, complemented
131#10622571C2211yescharacteristic
132#10622571C2211yescharacteristic
133#10622571C2211yescharacteristic, complemented
134#10622571C2211yescharacteristic, complemented
135#10622570C2211yescharacteristic, complemented
136#10622569C2211yescharacteristic
137#10622569C2211yescharacteristic
138#10622569C2211yescharacteristic
139#10622569C2211yescharacteristic
140#10622569C2211yescharacteristic, complemented
141#10622569C2211yescharacteristic, complemented
142#10622569C2211yescharacteristic, complemented
143#10622569C2211yescharacteristic, complemented
144#10622569C2211yescharacteristic, complemented
145#10622568C2211yescharacteristic
146#10622568C2211yescharacteristic, complemented
147#10622565C2211yescharacteristic, complemented
148#10622565C2211yescharacteristic, complemented
149#10622565C2211yescharacteristic, complemented
150#10622564C2211yescharacteristic, complemented
151#10622563C2211yescharacteristic, complemented
152#10622561C2211yescharacteristic, complemented
153#10622560C2211yescharacteristic, complemented
154#10622559C2211yescharacteristic, complemented
155#10622559C2211yescharacteristic, complemented
156#10622559C2211yescharacteristic, complemented
157#10622559C2211yescharacteristic, complemented
158#10622558C2211yescharacteristic, complemented
159#10622558C2211yescharacteristic, complemented
160#10622558C2211yescharacteristic, complemented
161#10622558C2211yescharacteristic, complemented
162#10622558C2211yescharacteristic, complemented
163#10622557C2211yescharacteristic, complemented
164#10622556C2211yescharacteristic, complemented
165#10622556C2211yescharacteristic, complemented
166#10622555C2211yescharacteristic, complemented
167#10622555C2211yescharacteristic, complemented
168#10622555C2211yescharacteristic, complemented
169#10622553C2211yescharacteristic, complemented
170C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
171C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
172#10622546C2211yescharacteristic, complemented
173#10622289C2211yescharacteristic, complemented
174#10622286C2211yescharacteristic, complemented
175#10622283C2211yescharacteristic, complemented
176#10622282C2211yescharacteristic, complemented
177#10622281C2211yescharacteristic, complemented
178#10622280C2211yescharacteristic, complemented
179#10622278C2211yescharacteristic, complemented
180#10622278C2211yescharacteristic, complemented
181D11×#95C2211yescharacteristic, complemented
182D11×#95C2211yescharacteristic, complemented
183#10622273C2211yescharacteristic, complemented
184#10622271C2211yescharacteristic, complemented
185#10622267C2211yescharacteristic, complemented
186#10622266C2211yescharacteristic, complemented
187#10622265C2211yescharacteristic, complemented
188#10622264C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C24×D11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C22×C22⋊D11—24no—
203C22×C22⋊D11—24no—
204C22×C22⋊D11—24no—
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
216C23×Dic11—24no—
217C23×Dic11—42no—
218C23×Dic11—42no—
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C23×Dic11C2311yescharacteristic
222C23×Dic11C2311yescharacteristic
223C23×Dic11C2311yescharacteristic
224C23×Dic11C2311yescharacteristic
225C23×Dic11C2311yescharacteristic
226C2×D4×D11—24no—
227C2×D4×D11—42no—
228C2×D4×D11—42no—
229C22×D44C2311yescharacteristic
230C22×C4×D11—24no—
231C22×C4×D11—42no—
232C22×C4×D11—42no—
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C22×C4×D11C2311yescharacteristic
236C22×C4×D11C2311yescharacteristic
237C22×C4×D11C2311yescharacteristic
238C22×C4×D11C2311yescharacteristic
239C22×C4×D11C2311yescharacteristic
240C22×Dic22C2311yescharacteristic
241C11×#121—24no—
242C11×#121—42no—
243C11×#120—42no—
244C11×#120—42no—
245C4×D4×C11—42no—
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4—24no—
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4C2311yescharacteristic
262C2×C11×C22⋊C4C2311yescharacteristic
263C2×C11×C22⋊C4C2311yescharacteristic
264C2×C11×C22⋊C4C2311yescharacteristic
265C2×C11×C22⋊C4C2311yescharacteristic
266C2×C42×C11C2311yescharacteristic
267#67006—42no—
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281C2×C22⋊Dic11C2311yescharacteristic
282C2×C22⋊Dic11C2311yescharacteristic
283C2×C22⋊Dic11C2311yescharacteristic
284C2×C22⋊Dic11C2311yescharacteristic
285C2×C22⋊Dic11C2311yescharacteristic
286C2×C22⋊Dic11C2311yescharacteristic
287C2×C22⋊Dic11C2311yescharacteristic
288#66992—24no—
289#66992—42no—
290#66992—42no—
291#66991—24no—
292#66991—24no—
293#66990—24no—
294#66990—24no—
295#66990—24no—
296#66990—24no—
297#66989—24no—
298#66988—24no—
299#66988—42no—
300#66982—24no—
301C4×C22⋊D11—24no—
302C4×C22⋊D11—42no—
303C2×(C2×D11)⋊C4—24no—
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
322C2×(C2×D11)⋊C4C2311yescharacteristic
323C2×(C2×D11)⋊C4C2311yescharacteristic
324C2×(C2×D11)⋊C4C2311yescharacteristic
325C2×C4⋊Dic11C2311yescharacteristic
326C2×C4⋊Dic11C2311yescharacteristic
327C2×C4⋊Dic11C2311yescharacteristic
328#66977—42no—
329C2×Dic11⋊C4—24no—
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×Dic11⋊C4C2311yescharacteristic
343C2×C4×Dic11—24no—
344C2×C4×Dic11C2311yescharacteristic
345C2×C4×Dic11C2311yescharacteristic
346C2×C4×Dic11C2311yescharacteristic
347C2×C4×Dic11C2311yescharacteristic
348C2×C4×Dic11C2311yescharacteristic
349C2×C4×Dic11C2311yescharacteristic
350#66951—24no—
351#66949—24no—
352#66938—24no—
353(C22⋊D11)⋊C4—24no—
354(C22⋊D11)⋊C4—24no—
355(C22⋊D11)⋊C4—24no—
356(C22⋊D11)⋊C4—24no—
357(C22⋊D11)⋊C4—24no—
358(C22⋊D11)⋊C4—24no—
359(C22⋊D11)⋊C4—24no—
360(C22⋊D11)⋊C4D418yescomplemented
361C22⋊C4×D11—24no—
362C22⋊C4×D11—42no—
363C22⋊C4×D11—42no—
364#66932—24no—
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
391C11⋊#95C2311yescharacteristic
392C11⋊#95C2311yescharacteristic
393C11⋊#95C2311yescharacteristic
394C11⋊#95C2311yescharacteristic
395C11⋊#95C2311yescharacteristic
396C11⋊#95C2311yescharacteristic
397#34990—111nomaximal, Sylow
398C24×C11—22no—
399C24×C11—22no—
400C24×C11—22no—
401C24×C11—22no—
402C24×C11—22no—
403C24×C11—41no—
404C24×C11—41no—
405C24×C11C2411yescharacteristic
406C24×C11C2411yescharacteristic
407C24×C11C2411yescharacteristic
408C24×C11C2411yescharacteristic
409C24×C11C2411yescharacteristic
410C23×D11—22no—
411C23×D11—22no—
412C23×D11—22no—
413C23×D11—22no—
414C23×D11—22no—
415C23×D11—22no—
416C23×D11—22no—
417C23×D11—41no—
418C23×D11—41no—
419C23×D11—41no—
420C23×D11—41no—
421C23×D11—41no—
422C23×D11—41no—
423C23×D11#4114yes—
424C23×D11C2411yescharacteristic
425C23×D11C2411yescharacteristic
426C23×D11C2411yescharacteristic
427C2×D4×C11—22no—
428C2×D4×C11—22no—
429C2×D4×C11—22no—
430C2×D4×C11—22no—
431C2×D4×C11—22no—
432C2×D4×C11—22no—
433C2×D4×C11—22no—
434C2×D4×C11—22no—
435C2×D4×C11—22no—
436C2×D4×C11—22no—
437C2×D4×C11—22no—
438C2×D4×C11—41no—
439C2×D4×C11—41no—
440C2×D4×C11—41no—
441C2×D4×C11—41no—
442C2×D4×C11—41no—
443C2×D4×C11—41no—
444C2×D4×C11—41no—
445C2×D4×C11—41no—
446C2×D4×C11—41no—
447C2×D4×C11—41no—
448C22×C4×C11—22no—
449C22×C4×C11—22no—
450C22×C4×C11—22no—
451C22×C4×C11—22no—
452C22×C4×C11—22no—
453C22×C4×C11—41no—
454C22×C4×C11—41no—
455C22×C4×C11—41no—
456C22×C4×C11—41no—
457C22×C4×C11C2411yescharacteristic
458C22×C4×C11C2411yescharacteristic
459C22×C4×C11C2411yescharacteristic
460C22×C4×C11C2411yescharacteristic
461C22×C4×C11C2411yescharacteristic
462C22×C4×C11C2411yescharacteristic
463C22×C4×C11C2411yescharacteristic
464C22×C4×C11C2411yescharacteristic
465C22×C4×C11C2411yescharacteristic
466C22×C4×C11C2411yescharacteristic
467C2×C22⋊D11—232no—
468C2×C22⋊D11—22no—
469C2×C22⋊D11—22no—
470C2×C22⋊D11—22no—
471C2×C22⋊D11—22no—
472C2×C22⋊D11—22no—
473C2×C22⋊D11—22no—
474C2×C22⋊D11—22no—
475C2×C22⋊D11—22no—
476C2×C22⋊D11—22no—
477C2×C22⋊D11—22no—
478C2×C22⋊D11—22no—
479C2×C22⋊D11—22no—
480C2×C22⋊D11—22no—
481C2×C22⋊D11—22no—
482C2×C22⋊D11—22no—
483C2×C22⋊D11—22no—
484C2×C22⋊D11—22no—
485C2×C22⋊D11—22no—
486C2×C22⋊D11—22no—
487C2×C22⋊D11—22no—
488C2×C22⋊D11—22no—
489C2×C22⋊D11—41no—
490C2×C22⋊D11—41no—
491C2×C22⋊D11—41no—
492C2×C22⋊D11—41no—
493C2×C22⋊D11—41no—
494C2×C22⋊D11—41no—
495C2×C22⋊D11—41no—
496C2×C22⋊D11—41no—
497C2×C22⋊D11—41no—
498C2×C22⋊D11—41no—
499C2×C22⋊D11C2×D414yes—
500C2×C22⋊D11#4114yes—
501C22×Dic11—22no—
502C22×Dic11—22no—
503C22×Dic11—22no—
504C22×Dic11—22no—
505C22×Dic11—22no—
506C22×Dic11—22no—
507C22×Dic11—22no—
508C22×Dic11—22no—
509C22×Dic11—22no—
510C22×Dic11—22no—
511C22×Dic11—22no—
512C22×Dic11—22no—
513C22×Dic11—22no—
514C22×Dic11—41no—
515C22×Dic11—41no—
516C22×Dic11—41no—
517C22×Dic11—41no—
518C22×Dic11—41no—
519C22×Dic11—41no—
520C22×Dic11—41no—
521C22×Dic11—416no—
522C22×Dic11C2×D414yescomplemented
523C22×Dic11C2411yescharacteristic
524C22×Dic11C2411yescharacteristic
525C22×Dic11C2411yescharacteristic
526C22×Dic11C2411yescharacteristic
527C22×Dic11C2411yescharacteristic
528C22×Dic11C2411yescharacteristic
529C22×Dic11C2411yescharacteristic
530C22×Dic11C2411yescharacteristic
531C22×Dic11C2411yescharacteristic
532C22×Dic11C2411yescharacteristic
533C22×Dic11C2411yescharacteristic
534C22×Dic11C2411yescharacteristic
535C22×Dic11C2411yescharacteristic
536D4×D11—416no—
537C2×D44—22no—
538C2×D44—41no—
539C2×D44—41no—
540C2×C4×D11—22no—
541C2×C4×D11—22no—
542C2×C4×D11—22no—
543C2×C4×D11—22no—
544C2×C4×D11—22no—
545C2×C4×D11—22no—
546C2×C4×D11—22no—
547C2×C4×D11—22no—
548C2×C4×D11—41no—
549C2×C4×D11—41no—
550C2×C4×D11—41no—
551C2×C4×D11—41no—
552C2×C4×D11—41no—
553C2×C4×D11—41no—
554C2×C4×D11—41no—
555C2×C4×D11—41no—
556C2×C4×D11—41no—
557C2×C4×D11—41no—
558C2×C4×D11—41no—
559C2×C4×D11—41no—
560C2×C4×D11—416no—
561C2×C4×D11C2×D414yes—
562C2×Dic22—22no—
563C2×Dic22—41no—
564C2×Dic22—41no—
565C11×C4⋊C4—22no—
566C11×C4⋊C4—41no—
567C11×C4⋊C4—41no—
568C11×C4⋊C4—41no—
569C11×C22⋊C4—22no—
570C11×C22⋊C4—22no—
571C11×C22⋊C4—22no—
572C11×C22⋊C4—22no—
573C11×C22⋊C4—22no—
574C11×C22⋊C4—22no—
575C11×C22⋊C4—41no—
576C11×C22⋊C4—41no—
577C11×C22⋊C4—41no—
578C11×C22⋊C4—41no—
579C11×C22⋊C4—41no—
580C11×C22⋊C4—41no—
581C11×C22⋊C4—41no—
582C11×C22⋊C4—41no—
583C11×C22⋊C4C2×D414yescomplemented
584C42×C11—41no—
585C22⋊Dic11—22no—
586C22⋊Dic11—22no—
587C22⋊Dic11—22no—
588C22⋊Dic11—22no—
589C22⋊Dic11—22no—
590C22⋊Dic11—22no—
591C22⋊Dic11—22no—
592C22⋊Dic11—22no—
593C22⋊Dic11—22no—
594C22⋊Dic11—22no—
595C22⋊Dic11—22no—
596C22⋊Dic11—22no—
597C22⋊Dic11—22no—
598C22⋊Dic11—22no—
599C22⋊Dic11—41no—
600C22⋊Dic11—41no—
601C22⋊Dic11—41no—
602C22⋊Dic11—41no—
603C22⋊Dic11—41no—
604C22⋊Dic11—41no—
605(C2×D11)⋊C4—22no—
606(C2×D11)⋊C4—22no—
607(C2×D11)⋊C4—22no—
608(C2×D11)⋊C4—22no—
609(C2×D11)⋊C4—22no—
610(C2×D11)⋊C4—22no—
611(C2×D11)⋊C4—22no—
612(C2×D11)⋊C4—22no—
613(C2×D11)⋊C4—22no—
614(C2×D11)⋊C4—22no—
615(C2×D11)⋊C4—22no—
616(C2×D11)⋊C4—22no—
617(C2×D11)⋊C4—22no—
618(C2×D11)⋊C4—41no—
619(C2×D11)⋊C4—41no—
620(C2×D11)⋊C4—41no—
621(C2×D11)⋊C4—41no—
622(C2×D11)⋊C4—41no—
623(C2×D11)⋊C4—41no—
624(C2×D11)⋊C4—41no—
625(C2×D11)⋊C4C2×D414yes—
626C4⋊Dic11—22no—
627C4⋊Dic11—22no—
628C4⋊Dic11—41no—
629Dic11⋊C4—22no—
630Dic11⋊C4—22no—
631Dic11⋊C4—22no—
632Dic11⋊C4—22no—
633Dic11⋊C4—22no—
634Dic11⋊C4—22no—
635Dic11⋊C4—22no—
636Dic11⋊C4—41no—
637Dic11⋊C4—41no—
638Dic11⋊C4—41no—
639Dic11⋊C4—41no—
640Dic11⋊C4—41no—
641Dic11⋊C4C2×D414yescomplemented
642C4×Dic11—22no—
643C4×Dic11—22no—
644C4×Dic11—22no—
645C4×Dic11—22no—
646C4×Dic11—41no—
647C4×Dic11C2×D414yescomplemented
648C2×#538—111no—
649C22×C4×D4—111no—
650#2852—111no—
651#2850—111no—
652#2849—111no—
653#2847—111no—
654#2636—111no—
655#2635—111no—
656#2631—111no—
657#2630—111no—
658#2481—111no—
659#2472—111no—
660#2467—111no—
661#2459—111no—
662#2456—111no—
663#2456—111no—
664#2450—111no—
665#2444—111no—
666#2443—111no—
667#2437—111no—
668#2424—111no—
669#2424D1111yescharacteristic, complemented
670#2418—111no—
671#2410—111no—
672#2410—111no—
673#2403—111no—
674#2325—111no—
675#2321—111no—
676#2318—111no—
677C4×#120—111no—
678C2×#386—111no—
679C23×C11—21no—
680C23×C11—21no—
681C23×C11—21no—
682C23×C11—21no—
683C23×C11—28no—
684C23×C11—21no—
685C23×C11—21no—
686C23×C11—21no—
687C23×C11—21no—
688C23×C11—21no—
689C23×C11—21no—
690C23×C11—21no—
691C23×C11—21no—
692C23×C11—21no—
693C23×C11—21no—
694C23×C11—21no—
695C23×C11—21no—
696C23×C11—21no—
697C23×C11—21no—
698C23×C11—21no—
699C23×C11—21no—
700C23×C11—21no—
701C23×C11—21no—
702C23×C11—21no—
703C23×C11—21no—
704C23×C11—21no—
705C23×C11—21no—
706C23×C11—21no—
707C23×C11—21no—
708C23×C11—21no—
709C23×C11—21no—
710C23×C11—44no—
711C23×C11—44no—
712C23×C11—44no—
713C23×C11—44no—
714C23×C11—44no—
715C23×C11—44no—
716C23×C11C22×D412yes—
717C23×C11C2×#4112yes—
718C23×C11C2×#4112yes—
719C23×C11H(5,𝔽2)12yes—
720C23×C11H(5,𝔽2)12yes—
721C23×C11C2511yescharacteristic
722C22×D11—21no—
723C22×D11—21no—
724C22×D11—21no—
725C22×D11—21no—
726C22×D11—28no—
727C22×D11—21no—
728C22×D11—21no—
729C22×D11—21no—
730C22×D11—21no—
731C22×D11—21no—
732C22×D11—21no—
733C22×D11—28no—
734C22×D11—21no—
735C22×D11—21no—
736C22×D11—21no—
737C22×D11—21no—
738C22×D11—21no—
739C22×D11—21no—
740C22×D11—21no—
741C22×D11—44no—
742C22×D11—44no—
743C22×D11—44no—
744C22×D11—44no—
745C22×D11—44no—
746C22×D11—44no—
747C22×D11—44no—
748C22×D11—44no—
749C22×D11—82no—
750C22×D11—82no—
751C22×D11—82no—
752C22×D11—82no—
753C22×D11C22×D412yes—
754C22×D11C2×#4112yes—
755C22×D11C2×#4112yes—
756C22×D11C2×#4112yes—
757D4×C11—44no—
758D4×C11—44no—
759D4×C11—82no—
760D4×C11—82no—
761D4×C11—82no—
762D4×C11—82no—
763D4×C11—82no—
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—21no—
773C2×C4×C11—21no—
774C2×C4×C11—21no—
775C2×C4×C11—21no—
776C2×C4×C11—21no—
777C2×C4×C11—21no—
778C2×C4×C11—21no—
779C2×C4×C11—21no—
780C2×C4×C11—21no—
781C2×C4×C11—21no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—21no—
785C2×C4×C11—21no—
786C2×C4×C11—21no—
787C2×C4×C11—21no—
788C2×C4×C11—21no—
789C2×C4×C11—21no—
790C2×C4×C11—21no—
791C2×C4×C11—21no—
792C2×C4×C11—44no—
793C2×C4×C11—44no—
794C2×C4×C11—82no—
795C2×C4×C11C22×D412yes—
796C2×C4×C11C22×D412yes—
797C22⋊D11—28no—
798C22⋊D11—28no—
799C22⋊D11—28no—
800C22⋊D11—28no—
801C22⋊D11—44no—
802C22⋊D11—44no—
803C22⋊D11—44no—
804C22⋊D11—44no—
805C22⋊D11—82no—
806C22⋊D11—82no—
807C22⋊D11—82no—
808C2×Dic11—28no—
809C2×Dic11—28no—
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—21no—
824C2×Dic11—21no—
825C2×Dic11—21no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—21no—
829C2×Dic11—21no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—21no—
835C2×Dic11—21no—
836C2×Dic11—21no—
837C2×Dic11—21no—
838C2×Dic11—21no—
839C2×Dic11—21no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—21no—
843C2×Dic11—21no—
844C2×Dic11—44no—
845C2×Dic11—44no—
846C2×Dic11—44no—
847C2×Dic11—44no—
848C2×Dic11—44no—
849C2×Dic11C22×D412yes—
850C2×Dic11C22×D412yes—
851C2×Dic11C22×D412yes—
852C2×Dic11C2×#4112yes—
853C2×Dic11H(5,𝔽2)12yes—
854D44—44no—
855C4×D11—44no—
856C4×D11—44no—
857C4×D11—44no—
858C4×D11—44no—
859C4×D11—44no—
860C4×D11—82no—
861C4×D11—82no—
862Dic22—82no—
863C23×D4—111no—
864C23×D4—111no—
865C24×C4—111no—
866C24×C4—111no—
867#538—228no—
868C2×#126—111no—
869C2×#126—111no—
870C2×#124—111no—
871C2×#124—111no—
872C2×#123—111no—
873C2×#123—111no—
874C2×#123—111no—
875C2×C22⋊Q8—111no—
876C2×C22⋊Q8—111no—
877C2×#121—111no—
878C2×#121—111no—
879C2×#121—111no—
880C2×#121—111no—
881C2×#121—111no—
882C2×#121C2×D1111yescharacteristic
883C2×#121C2×D1111yescharacteristic, complemented
884C2×#120—111no—
885C2×#120—111no—
886C2×#120—111no—
887C2×#120—111no—
888C2×#120—111no—
889C2×#120C2×D1111yescharacteristic
890C2×#120C2×D1111yescharacteristic, complemented
891C2×C4×D4—111no—
892C2×C4×D4—111no—
893C2×C4×D4—111no—
894C2×C4×D4—111no—
895C2×C4×D4—111no—
896C2×C4×D4—111no—
897C2×C4×D4—111no—
898C2×C4×D4—111no—
899C2×C4×D4—111no—
900C2×C4×D4—111no—
901C2×C4×D4—228no—
902C2×C4×D4C2×D1111yescharacteristic, complemented
903C22×C4⋊C4—111no—
904C22×C22⋊C4—111no—
905C22×C22⋊C4—111no—
906C22×C22⋊C4—111no—
907C22×C22⋊C4—111no—
908C22×C22⋊C4C2×D1111yescharacteristic, complemented
909C22×C42—111no—
910#400—111no—
911#400—111no—
912#399—111no—
913#399—111no—
914#398—111no—
915#397—111no—
916#397—111no—
917#397—111no—
918#396—111no—
919#396—111no—
920#396—111no—
921#396C2×D1111yescharacteristic, complemented
922#394—111no—
923#394—111no—
924#394—111no—
925#394—111no—
926#394—111no—
927#394—111no—
928#394—111no—
929#394C2×D1111yescharacteristic, complemented
930#394C2×D1111yescharacteristic, complemented
931#393—111no—
932#393—111no—
933#392—111no—
934#392—111no—
935#392—111no—
936#392—111no—
937#392—111no—
938#392—111no—
939#392—111no—
940#392—111no—
941#392C2×D1111yescharacteristic, complemented
942#391—111no—
943#390—111no—
944#390—111no—
945#390C2×D1111yescharacteristic, complemented
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#388C2×D1111yescharacteristic, complemented
958#387—111no—
959#387—111no—
960#387—111no—
961#387—111no—
962#387—111no—
963#387—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#386—111no—
975#386—111no—
976#386—111no—
977#386—111no—
978#386—111no—
979#386—111no—
980#386—111no—
981#386—111no—
982#386—111no—
983#386—111no—
984#386—111no—
985#386—111no—
986#386—111no—
987#386—111no—
988#386—111no—
989#386—111no—
990#386C2×D1111yescharacteristic
991#386C2×D1111yescharacteristic, complemented
992#385—111no—
993#385—111no—
994#385—111no—
995#385—111no—
996#385—111no—
997#385—111no—
998#385—111no—
999#385—111no—
1000#385—111no—
1001#385—111no—
1002#385—111no—
1003#385C2×D1111yescharacteristic, complemented
1004#383—111no—
1005#382—111no—
1006#381—111no—
1007#381—111no—
1008#380—111no—
1009#380—111no—
1010#380—111no—
1011#380—111no—
1012#379—111no—
1013#379—111no—
1014#379—111no—
1015C4×C22⋊C4—111no—
1016C4×C22⋊C4—111no—
1017C4×C22⋊C4—111no—
1018C2×#95—111no—
1019C2×#95—111no—
1020C22×C11—22no—
1021C22×C11—22no—
1022C22×C11—22no—
1023C22×C11—22no—
1024C22×C11—22no—
1025C22×C11—22no—
1026C22×C11—22no—
1027C22×C11—22no—
1028C22×C11—22no—
1029C22×C11—22no—
1030C22×C11—22no—
1031C22×C11—22no—
1032C22×C11—416no—
1033C22×C11—41no—
1034C22×C11—41no—
1035C22×C11—41no—
1036C22×C11—41no—
1037C22×C11—41no—
1038C22×C11—41no—
1039C22×C11—41no—
1040C22×C11—41no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11—41no—
1048C22×C11—41no—
1049C22×C11—41no—
1050C22×C11—41no—
1051C22×C11—41no—
1052C22×C11—41no—
1053C22×C11—41no—
1054C22×C11—41no—
1055C22×C11#53814yescomplemented
1056C22×C11C23×D411yescharacteristic
1057C22×C11C22×#4111yescharacteristic
1058C22×C11C22×#4111yescharacteristic
1059C22×C11C2×H(5,𝔽2)11yescharacteristic
1060C22×C11C2×H(5,𝔽2)11yescharacteristic
1061C22×C11C2×H(5,𝔽2)11yescharacteristic
1062C22×C11#58511yescharacteristic
1063C2×D11—22no—
1064C2×D11—22no—
1065C2×D11—22no—
1066C2×D11—22no—
1067C2×D11—22no—
1068C2×D11—22no—
1069C2×D11—22no—
1070C2×D11—22no—
1071C2×D11—22no—
1072C2×D11—416no—
1073C2×D11—41no—
1074C2×D11—41no—
1075C2×D11—41no—
1076C2×D11—41no—
1077C2×D11—41no—
1078C2×D11—41no—
1079C2×D11—41no—
1080C2×D11—41no—
1081C2×D11—41no—
1082C2×D11—41no—
1083C2×D11—41no—
1084C2×D11—88no—
1085C2×D11#52514yes—
1086C4×C11—22no—
1087C4×C11—22no—
1088C4×C11—41no—
1089C4×C11—41no—
1090C4×C11—41no—
1091C4×C11—41no—
1092C4×C11—41no—
1093C4×C11—41no—
1094C4×C11—41no—
1095C4×C11—41no—
1096Dic11—22no—
1097Dic11—22no—
1098Dic11—22no—
1099Dic11—22no—
1100Dic11—22no—
1101Dic11—41no—
1102Dic11—41no—
1103Dic11—41no—
1104Dic11—41no—
1105Dic11—41no—
1106Dic11—41no—
1107Dic11—41no—
1108Dic11—41no—
1109C25—111no—
1110C25—111no—
1111C25C22×D1111yescharacteristic
1112C22×Q8—111no—
1113C22×D4—111no—
1114C22×D4—111no—
1115C22×D4—111no—
1116C22×D4—111no—
1117C22×D4—111no—
1118C22×D4—111no—
1119C22×D4—111no—
1120C22×D4—111no—
1121C22×D4—111no—
1122C22×D4—111no—
1123C22×D4—111no—
1124C22×D4—111no—
1125C22×D4—224no—
1126C22×D4—224no—
1127C22×D4—224no—
1128C22×D4—224no—
1129C22×D4—442no—
1130C22×D4—442no—
1131C22×D4C22×D1111yescharacteristic
1132C22×D4C22×D1111yescharacteristic
1133C22×D4C22×D1111yescharacteristic
1134C22×D4C22×D1111yescharacteristic
1135C22×D4C22×D1111yescharacteristic
1136C22×D4C22×D1111yescharacteristic
1137C22×D4C22×D1111yescharacteristic
1138C23×C4—111no—
1139C23×C4—111no—
1140C23×C4—111no—
1141C23×C4—111no—
1142C23×C4—111no—
1143C23×C4—111no—
1144C23×C4—111no—
1145C23×C4—111no—
1146C23×C4—111no—
1147C23×C4—111no—
1148C23×C4—111no—
1149C23×C4—111no—
1150C23×C4—111no—
1151C23×C4—111no—
1152C23×C4—224no—
1153C23×C4—224no—
1154C23×C4—442no—
1155C23×C4—442no—
1156C23×C4—442no—
1157C23×C4—442no—
1158C23×C4C22×D1111yescharacteristic
1159C23×C4C22×D1111yescharacteristic
1160C23×C4C22×D1111yescharacteristic
1161#126—224no—
1162#126—224no—
1163#124—224no—
1164#124—224no—
1165#123—224no—
1166#123—224no—
1167#123—442no—
1168C22⋊Q8—224no—
1169C22⋊Q8—442no—
1170#121—24no—
1171#121—42no—
1172#121—224no—
1173#121—224no—
1174#121—224no—
1175#121—442no—
1176#121—442no—
1177#120—42no—
1178#120—42no—
1179#120—224no—
1180#120—224no—
1181#120—224no—
1182#120—224no—
1183#120—442no—
1184C4×D4—42no—
1185C4×D4—118no—
1186C4×D4—224no—
1187C4×D4—224no—
1188C4×D4—224no—
1189C4×D4—224no—
1190C4×D4—224no—
1191C4×D4—224no—
1192C4×D4—224no—
1193C4×D4—224no—
1194C4×D4—442no—
1195C2×C4⋊C4—111no—
1196C2×C4⋊C4—111no—
1197C2×C4⋊C4—111no—
1198C2×C4⋊C4—111no—
1199C2×C4⋊C4—111no—
1200C2×C4⋊C4—111no—
1201C2×C4⋊C4—111no—
1202C2×C4⋊C4—111no—
1203C2×C4⋊C4—111no—
1204C2×C4⋊C4—111no—
1205C2×C4⋊C4—111no—
1206C2×C4⋊C4—111no—
1207C2×C4⋊C4—111no—
1208C2×C4⋊C4—111no—
1209C2×C4⋊C4—111no—
1210C2×C4⋊C4—111no—
1211C2×C4⋊C4—224no—
1212C2×C4⋊C4C22×D1111yescharacteristic
1213C2×C4⋊C4C22×D1111yescharacteristic
1214C2×C4⋊C4C22×D1111yescharacteristic
1215C2×C4⋊C4C22×D1111yescharacteristic
1216C2×C22⋊C4—24no—
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—111no—
1237C2×C22⋊C4—111no—
1238C2×C22⋊C4—111no—
1239C2×C22⋊C4—111no—
1240C2×C22⋊C4—111no—
1241C2×C22⋊C4—111no—
1242C2×C22⋊C4—111no—
1243C2×C22⋊C4—111no—
1244C2×C22⋊C4—111no—
1245C2×C22⋊C4—111no—
1246C2×C22⋊C4—111no—
1247C2×C22⋊C4—111no—
1248C2×C22⋊C4—111no—
1249C2×C22⋊C4—111no—
1250C2×C22⋊C4—111no—
1251C2×C22⋊C4—111no—
1252C2×C22⋊C4—111no—
1253C2×C22⋊C4—111no—
1254C2×C22⋊C4—111no—
1255C2×C22⋊C4—111no—
1256C2×C22⋊C4—111no—
1257C2×C22⋊C4—111no—
1258C2×C22⋊C4—224no—
1259C2×C22⋊C4—224no—
1260C2×C22⋊C4—442no—
1261C2×C22⋊C4—442no—
1262C2×C22⋊C4C22×D1111yescharacteristic
1263C2×C22⋊C4C22×D1111yescharacteristic
1264C2×C22⋊C4C22×D1111yescharacteristic
1265C2×C22⋊C4C22×D1111yescharacteristic
1266C2×C22⋊C4C22×D1111yescharacteristic
1267C2×C22⋊C4C22×D1111yescharacteristic
1268C2×C22⋊C4C22×D1111yescharacteristic
1269C2×C22⋊C4C22×D1111yescharacteristic
1270C2×C22⋊C4C22×D1111yescharacteristic
1271C2×C22⋊C4C22×D1111yescharacteristic
1272C2×C22⋊C4C22×D1111yescharacteristic
1273C2×C22⋊C4C22×D1111yescharacteristic
1274C2×C22⋊C4C22×D1111yescharacteristic
1275C2×C22⋊C4C22×D1111yescharacteristic
1276C2×C22⋊C4C22×D1111yescharacteristic
1277C2×C42—111no—
1278C2×C42—111no—
1279C2×C42—111no—
1280C2×C42—111no—
1281C2×C42—111no—
1282C2×C42—111no—
1283C2×C42—224no—
1284C2×C42C22×D1111yescharacteristic
1285#95—111no—
1286#95—111no—
1287#95—111no—
1288#95—111no—
1289#95—111no—
1290#95—111no—
1291#95—111no—
1292#95—111no—
1293#95—111no—
1294#95—111no—
1295#95—111no—
1296#95—111no—
1297#95—111no—
1298#95—111no—
1299#95—111no—
1300#95—111no—
1301#95—111no—
1302#95—111no—
1303#95—111no—
1304#95—111no—
1305#95—111no—
1306#95—111no—
1307#95—111no—
1308#95—111no—
1309#95—111no—
1310#95—111no—
1311#95—111no—
1312#95—111no—
1313#95C22×D1111yescharacteristic
1314#95C22×D1111yescharacteristic
1315#95C22×D1111yescharacteristic
1316#95C22×D1111yescharacteristic
1317C2×C11—24no—
1318C2×C11—42no—
1319C2×C11—42no—
1320C2×C11—81no—
1321C2×C11—81no—
1322C2×C11C2×#52511yescharacteristic
1323C2×C11C2×#53811yescharacteristic
1324C2×C11#345911yescharacteristic
1325C2×C11#348411yescharacteristic
1326C2×C11#348811yescharacteristic
1327C2×C11#351311yescharacteristic
1328C2×C11#351911yescharacteristic
1329D11—24no—
1330D11—42no—
1331D11—81no—
1332C24—22no—
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—41no—
1338C24—41no—
1339C24—111no—
1340C24—111no—
1341C24—114no—
1342C24—111no—
1343C24—222no—
1344C24—222no—
1345C24—222no—
1346C24—222no—
1347C24—222no—
1348C24—222no—
1349C24—222no—
1350C24—441no—
1351C24—441no—
1352C24—441no—
1353C24—441no—
1354C24—441no—
1355C24—441no—
1356C24C23×D1111yescharacteristic
1357C24C23×D1111yescharacteristic
1358C24C23×D1111yescharacteristic
1359C24C23×D1111yescharacteristic
1360C24C23×D1111yescharacteristic
1361C2×Q8—222no—
1362C2×Q8—441no—
1363C2×Q8—441no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—114no—
1386C2×D4—114no—
1387C2×D4—222no—
1388C2×D4—222no—
1389C2×D4—222no—
1390C2×D4—222no—
1391C2×D4—222no—
1392C2×D4—222no—
1393C2×D4—222no—
1394C2×D4—222no—
1395C2×D4—222no—
1396C2×D4—222no—
1397C2×D4—2232no—
1398C2×D4—222no—
1399C2×D4—222no—
1400C2×D4—222no—
1401C2×D4—222no—
1402C2×D4—222no—
1403C2×D4—222no—
1404C2×D4—222no—
1405C2×D4—222no—
1406C2×D4—222no—
1407C2×D4—222no—
1408C2×D4—222no—
1409C2×D4—222no—
1410C2×D4—441no—
1411C2×D4—441no—
1412C2×D4—441no—
1413C2×D4—441no—
1414C2×D4—441no—
1415C2×D4—441no—
1416C2×D4—441no—
1417C2×D4—441no—
1418C2×D4—441no—
1419C2×D4—441no—
1420C2×D4—441no—
1421C2×D4—441no—
1422C2×D4—4416no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—41no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—111no—
1433C22×C4—111no—
1434C22×C4—111no—
1435C22×C4—111no—
1436C22×C4—111no—
1437C22×C4—114no—
1438C22×C4—114no—
1439C22×C4—111no—
1440C22×C4—111no—
1441C22×C4—111no—
1442C22×C4—111no—
1443C22×C4—111no—
1444C22×C4—111no—
1445C22×C4—111no—
1446C22×C4—111no—
1447C22×C4—222no—
1448C22×C4—222no—
1449C22×C4—222no—
1450C22×C4—222no—
1451C22×C4—222no—
1452C22×C4—222no—
1453C22×C4—222no—
1454C22×C4—222no—
1455C22×C4—222no—
1456C22×C4—222no—
1457C22×C4—222no—
1458C22×C4—222no—
1459C22×C4—222no—
1460C22×C4—222no—
1461C22×C4—222no—
1462C22×C4—222no—
1463C22×C4—222no—
1464C22×C4—222no—
1465C22×C4—222no—
1466C22×C4—222no—
1467C22×C4—222no—
1468C22×C4—441no—
1469C22×C4—441no—
1470C22×C4—441no—
1471C22×C4—441no—
1472C22×C4—441no—
1473C22×C4—441no—
1474C22×C4—441no—
1475C22×C4—441no—
1476C22×C4—441no—
1477C22×C4—441no—
1478C22×C4—441no—
1479C22×C4—441no—
1480C22×C4—4416no—
1481C22×C4—441no—
1482C22×C4—441no—
1483C22×C4—441no—
1484C22×C4—441no—
1485C22×C4—441no—
1486C22×C4—441no—
1487C22×C4—441no—
1488C22×C4—4416no—
1489C22×C4C23×D1111yescharacteristic
1490C22×C4C23×D1111yescharacteristic
1491C22×C4C23×D1111yescharacteristic
1492C22×C4C23×D1111yescharacteristic
1493C22×C4C23×D1111yescharacteristic
1494C22×C4C23×D1111yescharacteristic
1495C22×C4C23×D1111yescharacteristic
1496C22×C4C23×D1111yescharacteristic
1497C22×C4C23×D1111yescharacteristic
1498C22×C4C23×D1111yescharacteristic
1499C4⋊C4—22no—
1500C4⋊C4—41no—
1501C4⋊C4—41no—
1502C4⋊C4—41no—
1503C4⋊C4—114no—
1504C4⋊C4—222no—
1505C4⋊C4—222no—
1506C4⋊C4—222no—
1507C4⋊C4—222no—
1508C4⋊C4—222no—
1509C4⋊C4—222no—
1510C4⋊C4—222no—
1511C4⋊C4—222no—
1512C4⋊C4—222no—
1513C4⋊C4—441no—
1514C4⋊C4—441no—
1515C4⋊C4—441no—
1516C4⋊C4—441no—
1517C4⋊C4—441no—
1518C4⋊C4—441no—
1519C22⋊C4—22no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—41no—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—114no—
1534C22⋊C4—222no—
1535C22⋊C4—222no—
1536C22⋊C4—222no—
1537C22⋊C4—222no—
1538C22⋊C4—222no—
1539C22⋊C4—222no—
1540C22⋊C4—222no—
1541C22⋊C4—222no—
1542C22⋊C4—222no—
1543C22⋊C4—222no—
1544C22⋊C4—222no—
1545C22⋊C4—222no—
1546C22⋊C4—222no—
1547C22⋊C4—222no—
1548C22⋊C4—222no—
1549C22⋊C4—222no—
1550C22⋊C4—222no—
1551C22⋊C4—222no—
1552C22⋊C4—222no—
1553C22⋊C4—222no—
1554C22⋊C4—222no—
1555C22⋊C4—222no—
1556C22⋊C4—222no—
1557C22⋊C4—222no—
1558C22⋊C4—222no—
1559C22⋊C4—222no—
1560C22⋊C4—222no—
1561C22⋊C4—441no—
1562C22⋊C4—441no—
1563C22⋊C4—441no—
1564C22⋊C4—441no—
1565C22⋊C4—441no—
1566C22⋊C4—441no—
1567C22⋊C4—441no—
1568C22⋊C4—441no—
1569C22⋊C4—441no—
1570C22⋊C4—441no—
1571C22⋊C4—441no—
1572C22⋊C4—441no—
1573C22⋊C4—441no—
1574C22⋊C4D4×D1114yescomplemented
1575C42—41no—
1576C42—114no—
1577C42—222no—
1578C42—222no—
1579C42—222no—
1580C42—222no—
1581C42—441no—
1582C11#3499011yescharacteristic, complemented, Sylow
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—28no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—112no—
1621C23—112no—
1622C23—112no—
1623C23—112no—
1624C23—228no—
1625C23—221no—
1626C23—221no—
1627C23—221no—
1628C23—221no—
1629C23—228no—
1630C23—221no—
1631C23—221no—
1632C23—221no—
1633C23—221no—
1634C23—221no—
1635C23—221no—
1636C23—221no—
1637C23—221no—
1638C23—221no—
1639C23—221no—
1640C23—221no—
1641C23—221no—
1642C23—221no—
1643C23—444no—
1644C23—444no—
1645C23—444no—
1646C23—444no—
1647C23—444no—
1648C23—444no—
1649C23—444no—
1650C23—444no—
1651C23—882no—
1652C23—882no—
1653C23—882no—
1654C23—882no—
1655C23C2×D4×D1112yes—
1656C23#6703712yes—
1657C23#6703712yes—
1658C23#41×D1112yes—
1659C23#41×D1112yes—
1660C23C24×D1111yescharacteristic
1661Q8—882no—
1662D4—44no—
1663D4—44no—
1664D4—82no—
1665D4—82no—
1666D4—82no—
1667D4—82no—
1668D4—82no—
1669D4—228no—
1670D4—228no—
1671D4—228no—
1672D4—228no—
1673D4—444no—
1674D4—444no—
1675D4—444no—
1676D4—444no—
1677D4—444no—
1678D4—882no—
1679D4—882no—
1680D4—882no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—82no—
1712C2×C4—112no—
1713C2×C4—112no—
1714C2×C4—112no—
1715C2×C4—112no—
1716C2×C4—112no—
1717C2×C4—228no—
1718C2×C4—228no—
1719C2×C4—221no—
1720C2×C4—221no—
1721C2×C4—221no—
1722C2×C4—221no—
1723C2×C4—221no—
1724C2×C4—221no—
1725C2×C4—221no—
1726C2×C4—221no—
1727C2×C4—221no—
1728C2×C4—221no—
1729C2×C4—221no—
1730C2×C4—221no—
1731C2×C4—221no—
1732C2×C4—221no—
1733C2×C4—221no—
1734C2×C4—221no—
1735C2×C4—221no—
1736C2×C4—221no—
1737C2×C4—221no—
1738C2×C4—221no—
1739C2×C4—221no—
1740C2×C4—221no—
1741C2×C4—221no—
1742C2×C4—221no—
1743C2×C4—221no—
1744C2×C4—221no—
1745C2×C4—221no—
1746C2×C4—221no—
1747C2×C4—221no—
1748C2×C4—221no—
1749C2×C4—221no—
1750C2×C4—221no—
1751C2×C4—221no—
1752C2×C4—221no—
1753C2×C4—444no—
1754C2×C4—444no—
1755C2×C4—444no—
1756C2×C4—444no—
1757C2×C4—444no—
1758C2×C4—444no—
1759C2×C4—444no—
1760C2×C4—444no—
1761C2×C4—444no—
1762C2×C4—444no—
1763C2×C4—882no—
1764C2×C4—882no—
1765C2×C4C2×D4×D1112yes—
1766C2×C4C2×D4×D1112yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—416no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—114no—
1803C22—222no—
1804C22—222no—
1805C22—222no—
1806C22—222no—
1807C22—222no—
1808C22—222no—
1809C22—222no—
1810C22—222no—
1811C22—222no—
1812C22—4416no—
1813C22—441no—
1814C22—441no—
1815C22—441no—
1816C22—441no—
1817C22—441no—
1818C22—441no—
1819C22—441no—
1820C22—441no—
1821C22—441no—
1822C22—441no—
1823C22—441no—
1824C22—888no—
1825C22#1062314414yescomplemented
1826C22C22×D4×D1111yescharacteristic
1827C22C2×#6703711yescharacteristic
1828C22C2×#6703711yescharacteristic
1829C22C2×#41×D1111yescharacteristic
1830C22C2×#41×D1111yescharacteristic
1831C22D11×H(5,𝔽2)11yescharacteristic
1832C22#1062345511yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—222no—
1844C4—222no—
1845C4—222no—
1846C4—222no—
1847C4—222no—
1848C4—441no—
1849C4—441no—
1850C4—441no—
1851C4—441no—
1852C4—441no—
1853C4—441no—
1854C4—441no—
1855C4—441no—
1856C2—24no—
1857C2—42no—
1858C2—42no—
1859C2—81no—
1860C2—81no—
1861C2—224no—
1862C2—442no—
1863C2—881no—
1864C2D11×#52511yescharacteristic
1865C2C2×#1062314411yescharacteristic
1866C2#1308202711yescharacteristic
1867C2#1308224411yescharacteristic
1868C2#1308227611yescharacteristic
1869C2#1308254911yescharacteristic
1870C2#1308263711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2424C2
hypercenter#2424D11
hypocenterC11#34990
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C2×#10623144C2semidirect
2. C22×(C22⋊D11)⋊C4C2semidirect
3. #13076933C2semidirect
4. #13076915C2semidirect
5. #13076906C2semidirect
6. #13076896C2semidirect
7. #13074520C2semidirect
8. #13074502C2semidirect
9. #13074473C2semidirect
10. #13074456C2semidirect
11. #13072879C2semidirect
12. #13072736C2semidirect
13. #13072673C2semidirect
14. #13072551C2semidirect
15. #13072513C2semidirect
16. #13072512C2semidirect
17. #13072435C2semidirect
18. #13072359C2semidirect
19. #13072345C2semidirect
20. #13072281C2semidirect
21. #13072155C2semidirect
22. #13072071C2semidirect
23. #13071987C2semidirect
24. #13071986C2semidirect
25. #13071927C2semidirect
26. #13071318C2semidirect
27. #13071275C2semidirect
28. #13071246C2semidirect
29. C4×#66990C2semidirect
30. D11×#386C2semidirect
31. C11×#2424C2semidirect
33. C24×Dic11C22semidirect
37. C2×C11×#121C22semidirect
39. C2×C11×#120C22semidirect
40. C2×C4×D4×C11C22semidirect
41. C22×C11×C22⋊C4C22semidirect
44. C2×#66992C22semidirect
45. C2×#66992C22semidirect
51. C2×#66990C22semidirect
52. C2×#66989C22semidirect
53. C2×#66988C22semidirect
54. C2×#66988C22semidirect
55. C2×#66982C22semidirect
56. C2×C4×C22⋊D11C22semidirect
57. C2×C4×C22⋊D11C22semidirect
59. C2×#66977C22semidirect
60. C22×Dic11⋊C4C22semidirect
61. C22×C4×Dic11C22semidirect
63. C2×#66951C22semidirect
64. C2×#66949C22semidirect
65. C2×#66938C22semidirect
71. C2×(C22⋊D11)⋊C4C22semidirect
72. C2×(C22⋊D11)⋊C4C22semidirect
73. C2×(C22⋊D11)⋊C4C22semidirect
74. C2×(C22⋊D11)⋊C4C22semidirect
76. C2×C22⋊C4×D11C22semidirect
77. C2×C22⋊C4×D11C22semidirect
78. C2×#66932C22semidirect
79. C11×#396C22semidirect
80. C11×#394C22semidirect
81. C11×#394C22semidirect
82. C11×#392C22semidirect
83. C11×#390C22semidirect
84. C11×#388C22semidirect
86. C11×#386C22semidirect
87. C11×#385C22semidirect
88. #10622860C22semidirect
91. #10622836C22semidirect
92. #10622836C22semidirect
93. #10622836C22semidirect
94. #10622834C22semidirect
98. #10622833C22semidirect
99. #10622833C22semidirect
100. #10622833C22semidirect
101. #10622833C22semidirect
102. #10622833C22semidirect
103. #10622833C22semidirect
106. #10622823C22semidirect
107. C4×C22⋊Dic11C22semidirect
108. #10622607C22semidirect
109. #10622605C22semidirect
110. #10622605C22semidirect
111. #10622604C22semidirect
112. #10622603C22semidirect
113. #10622602C22semidirect
114. #10622602C22semidirect
115. #10622602C22semidirect
116. #10622602C22semidirect
117. #10622594C22semidirect
118. #10622593C22semidirect
119. #10622591C22semidirect
120. #10622590C22semidirect
121. #10622587C22semidirect
122. #10622574C22semidirect
123. #10622574C22semidirect
124. #10622574C22semidirect
127. #10622573C22semidirect
128. #10622572C22semidirect
129. #10622572C22semidirect
130. #10622572C22semidirect
133. #10622571C22semidirect
134. #10622571C22semidirect
135. #10622570C22semidirect
140. #10622569C22semidirect
141. #10622569C22semidirect
142. #10622569C22semidirect
143. #10622569C22semidirect
144. #10622569C22semidirect
146. #10622568C22semidirect
147. #10622565C22semidirect
148. #10622565C22semidirect
149. #10622565C22semidirect
150. #10622564C22semidirect
151. #10622563C22semidirect
152. #10622561C22semidirect
153. #10622560C22semidirect
154. #10622559C22semidirect
155. #10622559C22semidirect
156. #10622559C22semidirect
157. #10622559C22semidirect
158. #10622558C22semidirect
159. #10622558C22semidirect
160. #10622558C22semidirect
161. #10622558C22semidirect
162. #10622558C22semidirect
163. #10622557C22semidirect
164. #10622556C22semidirect
165. #10622556C22semidirect
166. #10622555C22semidirect
167. #10622555C22semidirect
168. #10622555C22semidirect
169. #10622553C22semidirect
170. C4×(C2×D11)⋊C4C22semidirect
171. C4×(C2×D11)⋊C4C22semidirect
172. #10622546C22semidirect
173. #10622289C22semidirect
174. #10622286C22semidirect
175. #10622283C22semidirect
176. #10622282C22semidirect
177. #10622281C22semidirect
178. #10622280C22semidirect
179. #10622278C22semidirect
180. #10622278C22semidirect
181. D11×#95C22semidirect
182. D11×#95C22semidirect
183. #10622273C22semidirect
184. #10622271C22semidirect
185. #10622267C22semidirect
186. #10622266C22semidirect
187. #10622265C22semidirect
188. #10622264C22semidirect
360. (C22⋊D11)⋊C4D4semidirect
522. C22×Dic11C2×D4semidirect
583. C11×C22⋊C4C2×D4semidirect
641. Dic11⋊C4C2×D4semidirect
647. C4×Dic11C2×D4semidirect
669. #2424D11semidirect
883. C2×#121C2×D11semidirect
890. C2×#120C2×D11semidirect
902. C2×C4×D4C2×D11semidirect
908. C22×C22⋊C4C2×D11semidirect
921. #396C2×D11semidirect
929. #394C2×D11semidirect
930. #394C2×D11semidirect
941. #392C2×D11semidirect
945. #390C2×D11semidirect
957. #388C2×D11semidirect
991. #386C2×D11semidirect
1003. #385C2×D11semidirect
1055. C22×C11#538semidirect
1574. C22⋊C4D4×D11semidirect
1582. C11#34990semidirect
1825. C22#10623144semidirect

Maximal subgroups

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

subgroupindex
C2×#106231442
C22×(C22⋊D11)⋊C42
#130769332
#130769152
#130769062
#130768962
#130745202
#130745022
#130744732
#130744562
#130728792
#130727362
#130726732
#130725512
#130725132
#130725122
#130724352
#130723592
#130723452
#130722812
#130721552
#130720712
#130719872
#130719862
#130719272
#130713182
#130712752
#130712462
C4×#669902
D11×#3862
C11×#24242
#3499011