Finite Group Databasebeta

← #14926451

Subgroups — #14926451

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×#10623175C211yesmaximal, characteristic, complemented
2C22×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
3#13076933C211yesmaximal, characteristic, complemented
4#13076919C211yesmaximal, characteristic, complemented
5#13076911C211yesmaximal, characteristic, complemented
6#13076899C211yesmaximal, characteristic, complemented
7#13074520C211yesmaximal, characteristic, complemented
8#13074506C211yesmaximal, characteristic, complemented
9#13074474C211yesmaximal, characteristic, complemented
10#13074462C211yesmaximal, characteristic, complemented
11#13072884C211yesmaximal, characteristic, complemented
12#13072749C211yesmaximal, characteristic, complemented
13#13072670C211yesmaximal, characteristic, complemented
14#13072556C211yesmaximal, characteristic, complemented
15#13072511C211yesmaximal, characteristic, complemented
16#13072511C211yesmaximal, characteristic, complemented
17#13072436C211yesmaximal, characteristic, complemented
18#13072370C211yesmaximal, characteristic, complemented
19#13072355C211yesmaximal, characteristic, complemented
20#13072150C211yesmaximal, characteristic, complemented
21#13072150C211yesmaximal, characteristic, complemented
22#13072084C211yesmaximal, characteristic, complemented
23#13071984C211yesmaximal, characteristic, complemented
24#13071984C211yesmaximal, characteristic, complemented
25#13071929C211yesmaximal, characteristic, complemented
26#13071316C211yesmaximal, characteristic, complemented
27#13071273C211yesmaximal, characteristic, complemented
28#13071244C211yesmaximal, characteristic, complemented
29#13071115C211yesmaximal, characteristic, complemented
30C2×#10622571C211yesmaximal, characteristic, complemented
31C11×#2437C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C23×C22⋊D11C2211yescharacteristic
34C24×Dic11C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic, complemented
36C2×C11×C22⋊Q8C2211yescharacteristic, complemented
37C2×C11×C22⋊Q8C2211yescharacteristic, complemented
38C22×C11×C22⋊C4C2211yescharacteristic
39C22×C11×C22⋊C4C2211yescharacteristic
40C2×#67006C2211yescharacteristic
41C2×#67000C2211yescharacteristic, complemented
42C2×#67000C2211yescharacteristic, complemented
43C2×#66983C2211yescharacteristic
44C2×#66983C2211yescharacteristic
45C2×#66983C2211yescharacteristic
46C2×#66983C2211yescharacteristic
47C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
48C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
49C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
50C22×Dic11⋊C4C2211yescharacteristic, complemented
51C22×C4×Dic11C2211yescharacteristic, complemented
52#10623175—28no—
53C2×#66951C2211yescharacteristic, complemented
54C2×#66951C2211yescharacteristic, complemented
55C2×#66948C2211yescharacteristic, complemented
56C2×#66948C2211yescharacteristic, complemented
57C2×#66948C2211yescharacteristic, complemented
58C2×#66947C2211yescharacteristic, complemented
59C2×#66947C2211yescharacteristic, complemented
60C2×#66947C2211yescharacteristic, complemented
61C2×#66935C2211yescharacteristic
62C2×#66935C2211yescharacteristic
63C2×#66935C2211yescharacteristic
64C2×#66935C2211yescharacteristic
65C2×#66935C2211yescharacteristic, complemented
66C2×#66935C2211yescharacteristic, complemented
67C2×(C22⋊D11)⋊C4—28no—
68C2×(C22⋊D11)⋊C4C2211yescharacteristic
69C2×(C22⋊D11)⋊C4C2211yescharacteristic
70C2×(C22⋊D11)⋊C4C2211yescharacteristic
71C2×(C22⋊D11)⋊C4C2211yescharacteristic
72C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
73C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
74C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
75C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
76C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
77C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
78C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
79C11×#399C2211yescharacteristic, complemented
80C11×#396C2211yescharacteristic, complemented
81C11×#396C2211yescharacteristic, complemented
82C11×#393C2211yescharacteristic, complemented
83C11×#385C2211yescharacteristic, complemented
84C11×#385C2211yescharacteristic, complemented
85C11×#385C2211yescharacteristic, complemented
86C11×#385C2211yescharacteristic, complemented
87C11×#380C2211yescharacteristic, complemented
88C11×#380C2211yescharacteristic, complemented
89C11×#379C2211yescharacteristic
90#10622844C2211yescharacteristic, complemented
91#10622843C2211yescharacteristic, complemented
92#10622826C2211yescharacteristic
93#10622826C2211yescharacteristic
94#10622826C2211yescharacteristic
95#10622826C2211yescharacteristic
96C2×C11⋊#95C2211yescharacteristic, complemented
97C2×C11⋊#95C2211yescharacteristic, complemented
98#10622607C2211yescharacteristic, complemented
99#10622607C2211yescharacteristic, complemented
100#10622606C2211yescharacteristic, complemented
101#10622605C2211yescharacteristic, complemented
102#10622604C2211yescharacteristic, complemented
103#10622604C2211yescharacteristic, complemented
104#10622604C2211yescharacteristic, complemented
105#10622603C2211yescharacteristic, complemented
106#10622603C2211yescharacteristic, complemented
107#10622603C2211yescharacteristic, complemented
108#10622603C2211yescharacteristic, complemented
109#10622603C2211yescharacteristic, complemented
110#10622603C2211yescharacteristic, complemented
111#10622603C2211yescharacteristic, complemented
112#10622602C2211yescharacteristic, complemented
113#10622602C2211yescharacteristic, complemented
114#10622602C2211yescharacteristic, complemented
115#10622601C2211yescharacteristic, complemented
116#10622601C2211yescharacteristic, complemented
117#10622601C2211yescharacteristic, complemented
118#10622600C2211yescharacteristic, complemented
119#10622600C2211yescharacteristic, complemented
120#10622597C2211yescharacteristic, complemented
121#10622595C2211yescharacteristic, complemented
122#10622594C2211yescharacteristic, complemented
123#10622591C2211yescharacteristic, complemented
124#10622591C2211yescharacteristic, complemented
125#10622590C2211yescharacteristic, complemented
126#10622574C2211yescharacteristic, complemented
127#10622574C2211yescharacteristic, complemented
128#10622574C2211yescharacteristic, complemented
129#10622574C2211yescharacteristic, complemented
130#10622573C2211yescharacteristic
131#10622573C2211yescharacteristic
132#10622573C2211yescharacteristic
133#10622573C2211yescharacteristic
134#10622573C2211yescharacteristic, complemented
135#10622573C2211yescharacteristic, complemented
136#10622573C2211yescharacteristic, complemented
137#10622573C2211yescharacteristic, complemented
138#10622571C2211yescharacteristic
139#10622571C2211yescharacteristic
140#10622571C2211yescharacteristic
141#10622571C2211yescharacteristic
142#10622571C2211yescharacteristic
143#10622571C2211yescharacteristic
144#10622571C2211yescharacteristic
145#10622571C2211yescharacteristic
146#10622571C2211yescharacteristic, complemented
147#10622571C2211yescharacteristic, complemented
148#10622571C2211yescharacteristic, complemented
149#10622571C2211yescharacteristic, complemented
150#10622571C2211yescharacteristic, complemented
151#10622571C2211yescharacteristic, complemented
152#10622571C2211yescharacteristic, complemented
153#10622571C2211yescharacteristic, complemented
154#10622571C2211yescharacteristic, complemented
155#10622568C2211yescharacteristic, complemented
156#10622568C2211yescharacteristic, complemented
157#10622563C2211yescharacteristic, complemented
158#10622563C2211yescharacteristic, complemented
159#10622559C2211yescharacteristic, complemented
160#10622559C2211yescharacteristic, complemented
161#10622559C2211yescharacteristic, complemented
162C22⋊C4×Dic11C2211yescharacteristic, complemented
163C22⋊C4×Dic11C2211yescharacteristic, complemented
164C22⋊C4×Dic11C2211yescharacteristic, complemented
165#10622288C2211yescharacteristic, complemented
166#10622288C2211yescharacteristic, complemented
167#10622285C2211yescharacteristic, complemented
168#10622285C2211yescharacteristic, complemented
169#10622284C2211yescharacteristic, complemented
170#10622283C2211yescharacteristic, complemented
171#10622283C2211yescharacteristic, complemented
172#10622282C2211yescharacteristic, complemented
173#10622282C2211yescharacteristic, complemented
174#10622282C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic, complemented
178#10622278C2211yescharacteristic, complemented
179#10622278C2211yescharacteristic, complemented
180#10622278C2211yescharacteristic, complemented
181#10622278C2211yescharacteristic, complemented
182#10622277C2211yescharacteristic, complemented
183#10622277C2211yescharacteristic, complemented
184#10622273C2211yescharacteristic, complemented
185#10622268C2211yescharacteristic, complemented
186#10622267C2211yescharacteristic, complemented
187#10622267C2211yescharacteristic, complemented
188#10622264C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C24×D11C2311yescharacteristic
192C22×Q8×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11—24no—
198C22×C22⋊D11—24no—
199C22×C22⋊D11—24no—
200C22×C22⋊D11—24no—
201C22×C22⋊D11—42no—
202C22×C22⋊D11—42no—
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
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
214C23×Dic11—24no—
215C23×Dic11—42no—
216C23×Dic11—42no—
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C23×Dic11C2311yescharacteristic
222C23×Dic11C2311yescharacteristic
223C23×Dic11C2311yescharacteristic
224C23×Dic11C2311yescharacteristic
225C22×D44C2311yescharacteristic
226C22×D44C2311yescharacteristic
227C22×D44C2311yescharacteristic
228C22×D44C2311yescharacteristic
229C22×D44C2311yescharacteristic
230C22×D44C2311yescharacteristic
231C22×D44C2311yescharacteristic
232C22×D44C2311yescharacteristic
233C22×C4×D11—24no—
234C22×C4×D11—42no—
235C22×C4×D11—42no—
236C22×C4×D11C2311yescharacteristic
237C22×C4×D11C2311yescharacteristic
238C22×C4×D11C2311yescharacteristic
239C22×C4×D11C2311yescharacteristic
240C22×C4×D11C2311yescharacteristic
241C11×C22⋊Q8—24no—
242C11×C22⋊Q8—42no—
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C4⋊C4C2311yescharacteristic
251C2×C11×C4⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4—24no—
253C2×C11×C22⋊C4—42no—
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×C11×C22⋊C4C2311yescharacteristic
267C2×C11×C22⋊C4C2311yescharacteristic
268#67006—24no—
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272#67000—24no—
273#67000—24no—
274#66983—24no—
275#66983—24no—
276#66983—42no—
277#66983—42no—
278C2×(C2×D11)⋊C4—24no—
279C2×(C2×D11)⋊C4—24no—
280C2×(C2×D11)⋊C4—42no—
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×(C2×D11)⋊C4C2311yescharacteristic
317C2×(C2×D11)⋊C4C2311yescharacteristic
318C2×(C2×D11)⋊C4C2311yescharacteristic
319C2×(C2×D11)⋊C4C2311yescharacteristic
320C2×C4⋊Dic11C2311yescharacteristic
321C2×C4⋊Dic11C2311yescharacteristic
322C2×C4⋊Dic11C2311yescharacteristic
323C2×C4⋊Dic11C2311yescharacteristic
324C2×Dic11⋊C4—24no—
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×Dic11⋊C4C2311yescharacteristic
332C2×C4×Dic11—24no—
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338C2×C4×Dic11C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340#66951—24no—
341#66951—24no—
342#66948—24no—
343#66948—24no—
344#66948—42no—
345#66947—24no—
346#66947—24no—
347#66947—42no—
348#66935—24no—
349#66935—24no—
350#66935—24no—
351#66935—42no—
352#66935—42no—
353#66935—42no—
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)⋊C4—24no—
361(C22⋊D11)⋊C4—24no—
362(C22⋊D11)⋊C4—42no—
363(C22⋊D11)⋊C4—42no—
364(C22⋊D11)⋊C4D418yescomplemented
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—41no—
403C24×C11—41no—
404C24×C11#4114yes—
405C24×C11C2411yescharacteristic
406C24×C11C2411yescharacteristic
407C24×C11C2411yescharacteristic
408C23×D11—22no—
409C23×D11—22no—
410C23×D11—22no—
411C23×D11—22no—
412C23×D11—22no—
413C23×D11—22no—
414C23×D11—22no—
415C23×D11—22no—
416C23×D11—41no—
417C23×D11—41no—
418C23×D11—41no—
419C23×D11—41no—
420C23×D11—41no—
421C23×D11—41no—
422C23×D11C2411yescharacteristic
423C23×D11C2411yescharacteristic
424C23×D11C2411yescharacteristic
425C23×D11C2411yescharacteristic
426C23×D11C2411yescharacteristic
427C2×Q8×C11—22no—
428C2×Q8×C11—41no—
429C2×Q8×C11—41no—
430C22×C4×C11—22no—
431C22×C4×C11—22no—
432C22×C4×C11—22no—
433C22×C4×C11—22no—
434C22×C4×C11—22no—
435C22×C4×C11—22no—
436C22×C4×C11—41no—
437C22×C4×C11—41no—
438C22×C4×C11—41no—
439C22×C4×C11—41no—
440C22×C4×C11—41no—
441C22×C4×C11—41no—
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C22×C4×C11C2411yescharacteristic
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C22×C4×C11C2411yescharacteristic
453C22×C4×C11C2411yescharacteristic
454C2×C22⋊D11—232no—
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—22no—
463C2×C22⋊D11—22no—
464C2×C22⋊D11—22no—
465C2×C22⋊D11—22no—
466C2×C22⋊D11—22no—
467C2×C22⋊D11—22no—
468C2×C22⋊D11—22no—
469C2×C22⋊D11—22no—
470C2×C22⋊D11—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—41no—
481C2×C22⋊D11—41no—
482C2×C22⋊D11—41no—
483C2×C22⋊D11—41no—
484C2×C22⋊D11—41no—
485C2×C22⋊D11—41no—
486C2×C22⋊D11—416no—
487C2×C22⋊D11C2×D414yes—
488C2×C22⋊D11#4114yes—
489C22×Dic11—22no—
490C22×Dic11—22no—
491C22×Dic11—22no—
492C22×Dic11—22no—
493C22×Dic11—22no—
494C22×Dic11—22no—
495C22×Dic11—22no—
496C22×Dic11—22no—
497C22×Dic11—22no—
498C22×Dic11—22no—
499C22×Dic11—22no—
500C22×Dic11—22no—
501C22×Dic11—22no—
502C22×Dic11—22no—
503C22×Dic11—41no—
504C22×Dic11—41no—
505C22×Dic11—41no—
506C22×Dic11—41no—
507C22×Dic11—41no—
508C22×Dic11—41no—
509C22×Dic11—41no—
510C22×Dic11—41no—
511C22×Dic11—41no—
512C22×Dic11—416no—
513C22×Dic11C2×D414yes—
514C22×Dic11C2411yescharacteristic
515C22×Dic11C2411yescharacteristic
516C22×Dic11C2411yescharacteristic
517C22×Dic11C2411yescharacteristic
518C22×Dic11C2411yescharacteristic
519C22×Dic11C2411yescharacteristic
520C22×Dic11C2411yescharacteristic
521C22×Dic11C2411yescharacteristic
522C22×Dic11C2411yescharacteristic
523C22×Dic11C2411yescharacteristic
524C22×Dic11C2411yescharacteristic
525C2×D44—22no—
526C2×D44—22no—
527C2×D44—22no—
528C2×D44—22no—
529C2×D44—22no—
530C2×D44—22no—
531C2×D44—22no—
532C2×D44—22no—
533C2×D44—41no—
534C2×D44—41no—
535C2×D44—41no—
536C2×D44—41no—
537C2×D44—41no—
538C2×D44—41no—
539C2×D44—41no—
540C2×D44—41no—
541C2×D44—41no—
542C2×D44—41no—
543C2×D44—41no—
544C2×D44—41no—
545C2×D44—41no—
546C2×D44—41no—
547C2×D44—41no—
548C2×D44—41no—
549C2×C4×D11—22no—
550C2×C4×D11—22no—
551C2×C4×D11—22no—
552C2×C4×D11—22no—
553C2×C4×D11—22no—
554C2×C4×D11—22no—
555C2×C4×D11—41no—
556C2×C4×D11—41no—
557C2×C4×D11—41no—
558C2×C4×D11—41no—
559C2×C4×D11—41no—
560C2×C4×D11—41no—
561C2×C4×D11—41no—
562C2×C4×D11—41no—
563C2×C4×D11—416no—
564C2×C4×D11C2×D414yescomplemented
565C11×C4⋊C4—22no—
566C11×C4⋊C4—22no—
567C11×C4⋊C4—22no—
568C11×C4⋊C4—41no—
569C11×C4⋊C4—41no—
570C11×C4⋊C4—41no—
571C11×C4⋊C4—41no—
572C11×C4⋊C4—41no—
573C11×C4⋊C4—41no—
574C11×C22⋊C4—22no—
575C11×C22⋊C4—22no—
576C11×C22⋊C4—22no—
577C11×C22⋊C4—22no—
578C11×C22⋊C4—22no—
579C11×C22⋊C4—22no—
580C11×C22⋊C4—22no—
581C11×C22⋊C4—22no—
582C11×C22⋊C4—22no—
583C11×C22⋊C4—41no—
584C11×C22⋊C4—41no—
585C11×C22⋊C4—41no—
586C11×C22⋊C4—41no—
587C11×C22⋊C4C2×D414yes—
588C22⋊Dic11—22no—
589C22⋊Dic11—22no—
590C22⋊Dic11—22no—
591(C2×D11)⋊C4—22no—
592(C2×D11)⋊C4—22no—
593(C2×D11)⋊C4—22no—
594(C2×D11)⋊C4—22no—
595(C2×D11)⋊C4—22no—
596(C2×D11)⋊C4—22no—
597(C2×D11)⋊C4—22no—
598(C2×D11)⋊C4—22no—
599(C2×D11)⋊C4—22no—
600(C2×D11)⋊C4—22no—
601(C2×D11)⋊C4—22no—
602(C2×D11)⋊C4—22no—
603(C2×D11)⋊C4—22no—
604(C2×D11)⋊C4—22no—
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—41no—
613(C2×D11)⋊C4—41no—
614(C2×D11)⋊C4—41no—
615(C2×D11)⋊C4—41no—
616(C2×D11)⋊C4—41no—
617(C2×D11)⋊C4—41no—
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)⋊C4—41no—
626(C2×D11)⋊C4—41no—
627(C2×D11)⋊C4—41no—
628(C2×D11)⋊C4—41no—
629(C2×D11)⋊C4C2×D414yescomplemented
630C4⋊Dic11—22no—
631C4⋊Dic11—22no—
632C4⋊Dic11—41no—
633C4⋊Dic11—41no—
634Dic11⋊C4—22no—
635Dic11⋊C4—22no—
636Dic11⋊C4—22no—
637Dic11⋊C4—22no—
638Dic11⋊C4—22no—
639Dic11⋊C4—41no—
640Dic11⋊C4C2×D414yescomplemented
641C4×Dic11—22no—
642C4×Dic11—22no—
643C4×Dic11—22no—
644C4×Dic11—22no—
645C4×Dic11—41no—
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#2437D1111yescharacteristic, complemented
668#2424—111no—
669#2424—111no—
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—21no—
684C23×C11—21no—
685C23×C11—21no—
686C23×C11—21no—
687C23×C11—28no—
688C23×C11—28no—
689C23×C11—21no—
690C23×C11—21no—
691C23×C11—21no—
692C23×C11—21no—
693C23×C11—21no—
694C23×C11—21no—
695C23×C11—44no—
696C23×C11—44no—
697C23×C11—44no—
698C23×C11—44no—
699C23×C11—44no—
700C23×C11C22×D412yes—
701C23×C11C2×#4112yes—
702C23×C11C2×#4112yes—
703C23×C11C2×#4112yes—
704C23×C11C2×#4112yes—
705C23×C11H(5,𝔽2)12yes—
706C23×C11H(5,𝔽2)12yes—
707C23×C11C2511yescharacteristic
708C22×D11—28no—
709C22×D11—21no—
710C22×D11—21no—
711C22×D11—21no—
712C22×D11—21no—
713C22×D11—21no—
714C22×D11—21no—
715C22×D11—21no—
716C22×D11—21no—
717C22×D11—21no—
718C22×D11—21no—
719C22×D11—21no—
720C22×D11—21no—
721C22×D11—21no—
722C22×D11—21no—
723C22×D11—21no—
724C22×D11—21no—
725C22×D11—21no—
726C22×D11—21no—
727C22×D11—21no—
728C22×D11—21no—
729C22×D11—21no—
730C22×D11—21no—
731C22×D11—21no—
732C22×D11—21no—
733C22×D11—21no—
734C22×D11—21no—
735C22×D11—21no—
736C22×D11—21no—
737C22×D11—21no—
738C22×D11—21no—
739C22×D11—21no—
740C22×D11—21no—
741C22×D11—21no—
742C22×D11—44no—
743C22×D11—44no—
744C22×D11—44no—
745C22×D11—44no—
746C22×D11—44no—
747C22×D11—44no—
748C22×D11—44no—
749C22×D11—44no—
750C22×D11—44no—
751C22×D11—82no—
752C22×D11—82no—
753C22×D11—82no—
754C22×D11—82no—
755C22×D11C22×D412yes—
756C22×D11C2×#4112yes—
757Q8×C11—82no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11—21no—
772C2×C4×C11—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×C11—82no—
796C2×C4×C11C22×D412yes—
797C2×C4×C11C22×D412yes—
798C22⋊D11—28no—
799C22⋊D11—28no—
800C22⋊D11—28no—
801C22⋊D11—28no—
802C22⋊D11—44no—
803C22⋊D11—44no—
804C22⋊D11—44no—
805C22⋊D11—44no—
806C22⋊D11—44no—
807C22⋊D11—44no—
808C22⋊D11—44no—
809C2×Dic11—28no—
810C2×Dic11—28no—
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—44no—
840C2×Dic11—44no—
841C2×Dic11—44no—
842C2×Dic11—44no—
843C2×Dic11—44no—
844C2×Dic11—44no—
845C2×Dic11C22×D412yes—
846C2×Dic11C22×D412yes—
847C2×Dic11C22×D412yes—
848C2×Dic11C2×#4112yes—
849C2×Dic11H(5,𝔽2)12yes—
850D44—82no—
851D44—82no—
852D44—82no—
853D44—82no—
854D44—82no—
855D44—82no—
856D44—82no—
857D44—82no—
858C4×D11—44no—
859C4×D11—44no—
860C4×D11—44no—
861C4×D11—44no—
862C4×D11—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⋊Q8C2×D1111yescharacteristic, complemented
876C2×C22⋊Q8C2×D1111yescharacteristic, complemented
877C2×#121—111no—
878C2×#121—111no—
879C2×#121—111no—
880C2×#121—111no—
881C2×#121—111no—
882C2×#121—111no—
883C2×#121—111no—
884C2×#120—111no—
885C2×#120—111no—
886C2×#120—111no—
887C2×#120—111no—
888C2×#120—111no—
889C2×#120—111no—
890C2×#120—111no—
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—111no—
902C2×C4×D4—228no—
903C22×C4⋊C4—111no—
904C22×C22⋊C4—111no—
905C22×C22⋊C4—111no—
906C22×C22⋊C4—111no—
907C22×C22⋊C4C2×D1111yescharacteristic
908C22×C22⋊C4C2×D1111yescharacteristic
909C22×C42—111no—
910#400—111no—
911#400—111no—
912#399—111no—
913#399C2×D1111yescharacteristic, complemented
914#398—111no—
915#397—111no—
916#397—111no—
917#397—111no—
918#396—111no—
919#396—111no—
920#396C2×D1111yescharacteristic, complemented
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#394—111no—
930#394—111no—
931#393—111no—
932#393C2×D1111yescharacteristic, complemented
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#392—111no—
942#391—111no—
943#390—111no—
944#390—111no—
945#390—111no—
946#388—111no—
947#388—111no—
948#388—111no—
949#388—111no—
950#388—111no—
951#388—111no—
952#388—111no—
953#388—111no—
954#388—111no—
955#388—111no—
956#388—111no—
957#388—111no—
958#387—111no—
959#387—111no—
960#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#386—111no—
991#386—111no—
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#385C2×D1111yescharacteristic, complemented
1001#385C2×D1111yescharacteristic, complemented
1002#385C2×D1111yescharacteristic, complemented
1003#385C2×D1111yescharacteristic, complemented
1004#383—111no—
1005#382—111no—
1006#381—111no—
1007#381—111no—
1008#380—111no—
1009#380—111no—
1010#380C2×D1111yescharacteristic, complemented
1011#380C2×D1111yescharacteristic, complemented
1012#379—111no—
1013#379—111no—
1014#379C2×D1111yescharacteristic
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—22no—
1033C22×C11—22no—
1034C22×C11—22no—
1035C22×C11—416no—
1036C22×C11—41no—
1037C22×C11—41no—
1038C22×C11—41no—
1039C22×C11—41no—
1040C22×C11#52514yes—
1041C22×C11#53814yescomplemented
1042C22×C11C23×D411yescharacteristic
1043C22×C11C22×#4111yescharacteristic
1044C22×C11C22×#4111yescharacteristic
1045C22×C11C2×H(5,𝔽2)11yescharacteristic
1046C22×C11C2×H(5,𝔽2)11yescharacteristic
1047C22×C11C2×H(5,𝔽2)11yescharacteristic
1048C22×C11#58511yescharacteristic
1049C2×D11—22no—
1050C2×D11—22no—
1051C2×D11—22no—
1052C2×D11—22no—
1053C2×D11—22no—
1054C2×D11—22no—
1055C2×D11—416no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—41no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—41no—
1066C2×D11—41no—
1067C2×D11—41no—
1068C2×D11—41no—
1069C2×D11—41no—
1070C2×D11—41no—
1071C2×D11—41no—
1072C2×D11—41no—
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—41no—
1085C2×D11—88no—
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—
1096C4×C11—41no—
1097C4×C11—41no—
1098Dic11—22no—
1099Dic11—22no—
1100Dic11—22no—
1101Dic11—22no—
1102Dic11—22no—
1103Dic11—41no—
1104Dic11—41no—
1105Dic11—41no—
1106Dic11—41no—
1107Dic11—41no—
1108Dic11—41no—
1109C25—111no—
1110C25—111no—
1111C25C22×D1111yescharacteristic
1112C22×Q8C22×D1111yescharacteristic
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—111no—
1126C22×D4—111no—
1127C22×D4—111no—
1128C22×D4—111no—
1129C22×D4—111no—
1130C22×D4—111no—
1131C22×D4—111no—
1132C22×D4—224no—
1133C22×D4—224no—
1134C22×D4—224no—
1135C22×D4—224no—
1136C22×D4—442no—
1137C22×D4—442no—
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—224no—
1152C23×C4—224no—
1153C23×C4—442no—
1154C23×C4—442no—
1155C23×C4—442no—
1156C23×C4—442no—
1157C23×C4C22×D1111yescharacteristic
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—24no—
1169C22⋊Q8—42no—
1170#121—224no—
1171#121—224no—
1172#121—224no—
1173#121—224no—
1174#121—442no—
1175#121—442no—
1176#121—442no—
1177#120—224no—
1178#120—224no—
1179#120—224no—
1180#120—224no—
1181#120—442no—
1182#120—442no—
1183#120—442no—
1184C4×D4—118no—
1185C4×D4—224no—
1186C4×D4—224no—
1187C4×D4—224no—
1188C4×D4—224no—
1189C4×D4—224no—
1190C4×D4—224no—
1191C4×D4—224no—
1192C4×D4—224no—
1193C4×D4—442no—
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—224no—
1207C2×C4⋊C4C22×D1111yescharacteristic
1208C2×C4⋊C4C22×D1111yescharacteristic
1209C2×C4⋊C4C22×D1111yescharacteristic
1210C2×C4⋊C4C22×D1111yescharacteristic
1211C2×C4⋊C4C22×D1111yescharacteristic
1212C2×C4⋊C4C22×D1111yescharacteristic
1213C2×C4⋊C4C22×D1111yescharacteristic
1214C2×C4⋊C4C22×D1111yescharacteristic
1215C2×C4⋊C4C22×D1111yescharacteristic
1216C2×C22⋊C4—24no—
1217C2×C22⋊C4—42no—
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—111no—
1259C2×C22⋊C4—111no—
1260C2×C22⋊C4—224no—
1261C2×C22⋊C4—224no—
1262C2×C22⋊C4—442no—
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—111no—
1284C2×C42—224no—
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#95C22×D1111yescharacteristic
1312#95C22×D1111yescharacteristic
1313#95C22×D1111yescharacteristic
1314#95C22×D1111yescharacteristic
1315#95C22×D1111yescharacteristic
1316#95C22×D1111yescharacteristic
1317C2×C11—24no—
1318C2×C11—24no—
1319C2×C11—42no—
1320C2×C11C2×#52511yescharacteristic
1321C2×C11C2×#53811yescharacteristic
1322C2×C11#345911yescharacteristic
1323C2×C11#348411yescharacteristic
1324C2×C11#348811yescharacteristic
1325C2×C11#351311yescharacteristic
1326C2×C11#351911yescharacteristic
1327D11—42no—
1328D11—42no—
1329D11—81no—
1330D11—81no—
1331D11—81no—
1332C24—22no—
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—41no—
1337C24—41no—
1338C24—111no—
1339C24—111no—
1340C24—111no—
1341C24—111no—
1342C24—111no—
1343C24—222no—
1344C24—222no—
1345C24—222no—
1346C24—222no—
1347C24—222no—
1348C24—222no—
1349C24—222no—
1350C24—222no—
1351C24—441no—
1352C24—441no—
1353C24—441no—
1354C24—441no—
1355C24—441no—
1356C24—441no—
1357C24#434314yes—
1358C24C23×D1111yescharacteristic
1359C24C23×D1111yescharacteristic
1360C24C23×D1111yescharacteristic
1361C2×Q8—22no—
1362C2×Q8—41no—
1363C2×Q8—41no—
1364C2×D4—114no—
1365C2×D4—114no—
1366C2×D4—222no—
1367C2×D4—222no—
1368C2×D4—222no—
1369C2×D4—222no—
1370C2×D4—222no—
1371C2×D4—222no—
1372C2×D4—222no—
1373C2×D4—222no—
1374C2×D4—222no—
1375C2×D4—222no—
1376C2×D4—2232no—
1377C2×D4—222no—
1378C2×D4—222no—
1379C2×D4—222no—
1380C2×D4—222no—
1381C2×D4—222no—
1382C2×D4—222no—
1383C2×D4—222no—
1384C2×D4—222no—
1385C2×D4—222no—
1386C2×D4—222no—
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—222no—
1398C2×D4—222no—
1399C2×D4—222no—
1400C2×D4—441no—
1401C2×D4—441no—
1402C2×D4—441no—
1403C2×D4—441no—
1404C2×D4—441no—
1405C2×D4—441no—
1406C2×D4—441no—
1407C2×D4—441no—
1408C2×D4—441no—
1409C2×D4—441no—
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—22no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—41no—
1433C22×C4—41no—
1434C22×C4—41no—
1435C22×C4—111no—
1436C22×C4—111no—
1437C22×C4—111no—
1438C22×C4—111no—
1439C22×C4—111no—
1440C22×C4—114no—
1441C22×C4—114no—
1442C22×C4—111no—
1443C22×C4—111no—
1444C22×C4—111no—
1445C22×C4—111no—
1446C22×C4—111no—
1447C22×C4—111no—
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—4416no—
1477C22×C4—441no—
1478C22×C4—441no—
1479C22×C4—441no—
1480C22×C4—441no—
1481C22×C4—441no—
1482C22×C4—441no—
1483C22×C4—441no—
1484C22×C4—441no—
1485C22×C4—441no—
1486C22×C4—4416no—
1487C22×C4C23×D1111yescharacteristic
1488C22×C4C23×D1111yescharacteristic
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—22no—
1501C4⋊C4—22no—
1502C4⋊C4—41no—
1503C4⋊C4—41no—
1504C4⋊C4—41no—
1505C4⋊C4—41no—
1506C4⋊C4—41no—
1507C4⋊C4—41no—
1508C4⋊C4—114no—
1509C4⋊C4—222no—
1510C4⋊C4—222no—
1511C4⋊C4—222no—
1512C4⋊C4—222no—
1513C4⋊C4—222no—
1514C4⋊C4—222no—
1515C4⋊C4—222no—
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—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—114no—
1533C22⋊C4—222no—
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—441no—
1558C22⋊C4—441no—
1559C22⋊C4—441no—
1560C22⋊C4—441no—
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×D1114yes—
1575C42—114no—
1576C42—222no—
1577C42—222no—
1578C42—222no—
1579C42—222no—
1580C42—441no—
1581C42—441no—
1582C11#3499011yescharacteristic, complemented, Sylow
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—28no—
1592C23—28no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—44no—
1600C23—44no—
1601C23—44no—
1602C23—44no—
1603C23—44no—
1604C23—112no—
1605C23—112no—
1606C23—228no—
1607C23—221no—
1608C23—221no—
1609C23—221no—
1610C23—221no—
1611C23—221no—
1612C23—221no—
1613C23—221no—
1614C23—221no—
1615C23—221no—
1616C23—221no—
1617C23—221no—
1618C23—221no—
1619C23—221no—
1620C23—221no—
1621C23—221no—
1622C23—221no—
1623C23—221no—
1624C23—221no—
1625C23—221no—
1626C23—221no—
1627C23—221no—
1628C23—221no—
1629C23—221no—
1630C23—221no—
1631C23—221no—
1632C23—221no—
1633C23—221no—
1634C23—221no—
1635C23—221no—
1636C23—221no—
1637C23—221no—
1638C23—221no—
1639C23—221no—
1640C23—444no—
1641C23—444no—
1642C23—444no—
1643C23—444no—
1644C23—444no—
1645C23—444no—
1646C23—444no—
1647C23—444no—
1648C23—444no—
1649C23—882no—
1650C23—882no—
1651C23—882no—
1652C23—882no—
1653C23C2×D4×D1112yes—
1654C23#6703712yes—
1655C23C2×#434312yes—
1656C23C2×#434312yes—
1657C23C2×#434312yes—
1658C23#41×D1112yes—
1659C23#6704212yes—
1660C23C24×D1111yescharacteristic
1661Q8—82no—
1662D4—228no—
1663D4—228no—
1664D4—228no—
1665D4—228no—
1666D4—444no—
1667D4—444no—
1668D4—444no—
1669D4—444no—
1670D4—444no—
1671D4—444no—
1672D4—444no—
1673D4—882no—
1674D4—882no—
1675D4—882no—
1676D4—882no—
1677D4—882no—
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—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—82no—
1718C2×C4—82no—
1719C2×C4—112no—
1720C2×C4—112no—
1721C2×C4—112no—
1722C2×C4—112no—
1723C2×C4—112no—
1724C2×C4—228no—
1725C2×C4—228no—
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—221no—
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—444no—
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—22no—
1780C22—22no—
1781C22—22no—
1782C22—416no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—222no—
1788C22—222no—
1789C22—222no—
1790C22—222no—
1791C22—222no—
1792C22—222no—
1793C22—4416no—
1794C22—441no—
1795C22—441no—
1796C22—441no—
1797C22—441no—
1798C22—441no—
1799C22—441no—
1800C22—441no—
1801C22—441no—
1802C22—441no—
1803C22—441no—
1804C22—441no—
1805C22—441no—
1806C22—441no—
1807C22—441no—
1808C22—441no—
1809C22—441no—
1810C22—441no—
1811C22—441no—
1812C22—441no—
1813C22—441no—
1814C22—441no—
1815C22—441no—
1816C22—441no—
1817C22—441no—
1818C22—441no—
1819C22—441no—
1820C22—441no—
1821C22—441no—
1822C22—441no—
1823C22—888no—
1824C22#1062315814yes—
1825C22#1062317514yescomplemented
1826C22C22×D4×D1111yescharacteristic
1827C22C2×#6703711yescharacteristic
1828C22C22×#434311yescharacteristic
1829C22C2×#41×D1111yescharacteristic
1830C22C2×#6704211yescharacteristic
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—41no—
1844C4—41no—
1845C4—222no—
1846C4—222no—
1847C4—222no—
1848C4—222no—
1849C4—222no—
1850C4—441no—
1851C4—441no—
1852C4—441no—
1853C4—441no—
1854C4—441no—
1855C4—441no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—442no—
1860C2—442no—
1861C2—881no—
1862C2—881no—
1863C2—881no—
1864C2C2×#1062315811yescharacteristic
1865C2C2×#1062317511yescharacteristic
1866C2#1308202811yescharacteristic
1867C2#1308224611yescharacteristic
1868C2#1308227611yescharacteristic
1869C2#1308254311yescharacteristic
1870C2#1308263711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2437C2
hypercenter#2437D11
hypocenterC11#34990
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2437

Complements

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

NH ≅ G/Ntype
1. C2×#10623175C2semidirect
2. C22×(C22⋊D11)⋊C4C2semidirect
3. #13076933C2semidirect
4. #13076919C2semidirect
5. #13076911C2semidirect
6. #13076899C2semidirect
7. #13074520C2semidirect
8. #13074506C2semidirect
9. #13074474C2semidirect
10. #13074462C2semidirect
11. #13072884C2semidirect
12. #13072749C2semidirect
13. #13072670C2semidirect
14. #13072556C2semidirect
15. #13072511C2semidirect
16. #13072511C2semidirect
17. #13072436C2semidirect
18. #13072370C2semidirect
19. #13072355C2semidirect
20. #13072150C2semidirect
21. #13072150C2semidirect
22. #13072084C2semidirect
23. #13071984C2semidirect
24. #13071984C2semidirect
25. #13071929C2semidirect
26. #13071316C2semidirect
27. #13071273C2semidirect
28. #13071244C2semidirect
29. #13071115C2semidirect
30. C2×#10622571C2semidirect
31. C11×#2437C2semidirect
35. C23×C4×D11C22semidirect
36. C2×C11×C22⋊Q8C22semidirect
37. C2×C11×C22⋊Q8C22semidirect
41. C2×#67000C22semidirect
42. C2×#67000C22semidirect
47. C22×(C2×D11)⋊C4C22semidirect
48. C22×(C2×D11)⋊C4C22semidirect
49. C22×(C2×D11)⋊C4C22semidirect
50. C22×Dic11⋊C4C22semidirect
51. C22×C4×Dic11C22semidirect
53. C2×#66951C22semidirect
54. C2×#66951C22semidirect
55. C2×#66948C22semidirect
56. C2×#66948C22semidirect
57. C2×#66948C22semidirect
58. C2×#66947C22semidirect
59. C2×#66947C22semidirect
60. C2×#66947C22semidirect
65. C2×#66935C22semidirect
66. C2×#66935C22semidirect
72. C2×(C22⋊D11)⋊C4C22semidirect
73. C2×(C22⋊D11)⋊C4C22semidirect
74. C2×(C22⋊D11)⋊C4C22semidirect
75. C2×(C22⋊D11)⋊C4C22semidirect
76. C2×(C22⋊D11)⋊C4C22semidirect
77. C2×(C22⋊D11)⋊C4C22semidirect
78. C2×(C22⋊D11)⋊C4C22semidirect
79. C11×#399C22semidirect
80. C11×#396C22semidirect
81. C11×#396C22semidirect
82. C11×#393C22semidirect
83. C11×#385C22semidirect
84. C11×#385C22semidirect
85. C11×#385C22semidirect
86. C11×#385C22semidirect
87. C11×#380C22semidirect
88. C11×#380C22semidirect
90. #10622844C22semidirect
91. #10622843C22semidirect
96. C2×C11⋊#95C22semidirect
97. C2×C11⋊#95C22semidirect
98. #10622607C22semidirect
99. #10622607C22semidirect
100. #10622606C22semidirect
101. #10622605C22semidirect
102. #10622604C22semidirect
103. #10622604C22semidirect
104. #10622604C22semidirect
105. #10622603C22semidirect
106. #10622603C22semidirect
107. #10622603C22semidirect
108. #10622603C22semidirect
109. #10622603C22semidirect
110. #10622603C22semidirect
111. #10622603C22semidirect
112. #10622602C22semidirect
113. #10622602C22semidirect
114. #10622602C22semidirect
115. #10622601C22semidirect
116. #10622601C22semidirect
117. #10622601C22semidirect
118. #10622600C22semidirect
119. #10622600C22semidirect
120. #10622597C22semidirect
121. #10622595C22semidirect
122. #10622594C22semidirect
123. #10622591C22semidirect
124. #10622591C22semidirect
125. #10622590C22semidirect
126. #10622574C22semidirect
127. #10622574C22semidirect
128. #10622574C22semidirect
129. #10622574C22semidirect
134. #10622573C22semidirect
135. #10622573C22semidirect
136. #10622573C22semidirect
137. #10622573C22semidirect
146. #10622571C22semidirect
147. #10622571C22semidirect
148. #10622571C22semidirect
149. #10622571C22semidirect
150. #10622571C22semidirect
151. #10622571C22semidirect
152. #10622571C22semidirect
153. #10622571C22semidirect
154. #10622571C22semidirect
155. #10622568C22semidirect
156. #10622568C22semidirect
157. #10622563C22semidirect
158. #10622563C22semidirect
159. #10622559C22semidirect
160. #10622559C22semidirect
161. #10622559C22semidirect
162. C22⋊C4×Dic11C22semidirect
163. C22⋊C4×Dic11C22semidirect
164. C22⋊C4×Dic11C22semidirect
165. #10622288C22semidirect
166. #10622288C22semidirect
167. #10622285C22semidirect
168. #10622285C22semidirect
169. #10622284C22semidirect
170. #10622283C22semidirect
171. #10622283C22semidirect
172. #10622282C22semidirect
173. #10622282C22semidirect
174. #10622282C22semidirect
175. #10622278C22semidirect
176. #10622278C22semidirect
177. #10622278C22semidirect
178. #10622278C22semidirect
179. #10622278C22semidirect
180. #10622278C22semidirect
181. #10622278C22semidirect
182. #10622277C22semidirect
183. #10622277C22semidirect
184. #10622273C22semidirect
185. #10622268C22semidirect
186. #10622267C22semidirect
187. #10622267C22semidirect
188. #10622264C22semidirect
364. (C22⋊D11)⋊C4D4semidirect
564. C2×C4×D11C2×D4semidirect
629. (C2×D11)⋊C4C2×D4semidirect
640. Dic11⋊C4C2×D4semidirect
647. C4×Dic11C2×D4semidirect
667. #2437D11semidirect
875. C2×C22⋊Q8C2×D11semidirect
876. C2×C22⋊Q8C2×D11semidirect
913. #399C2×D11semidirect
920. #396C2×D11semidirect
921. #396C2×D11semidirect
932. #393C2×D11semidirect
1000. #385C2×D11semidirect
1001. #385C2×D11semidirect
1002. #385C2×D11semidirect
1003. #385C2×D11semidirect
1010. #380C2×D11semidirect
1011. #380C2×D11semidirect
1041. C22×C11#538semidirect
1582. C11#34990semidirect
1825. C22#10623175semidirect

Maximal subgroups

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

subgroupindex
C2×#106231752
C22×(C22⋊D11)⋊C42
#130769332
#130769192
#130769112
#130768992
#130745202
#130745062
#130744742
#130744622
#130728842
#130727492
#130726702
#130725562
#130725112
#130724362
#130723702
#130723552
#130721502
#130720842
#130719842
#130719292
#130713162
#130712732
#130712442
#130711152
C2×#106225712
C11×#24372
#3499011