Finite Group Databasebeta

← #14921548

Subgroups — #14921548

Order 2816.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623069C211yesmaximal, characteristic, complemented
2C2×C4×D4×D11C211yesmaximal, characteristic, complemented
3#13072875C211yesmaximal, characteristic, complemented
4#13072860C211yesmaximal, characteristic, complemented
5#13072755C211yesmaximal, characteristic, complemented
6#13072740C211yesmaximal, characteristic, complemented
7#13072665C211yesmaximal, characteristic, complemented
8#13072650C211yesmaximal, characteristic, complemented
9#13072566C211yesmaximal, characteristic, complemented
10#13072551C211yesmaximal, characteristic, complemented
11#13072438C211yesmaximal, characteristic, complemented
12#13072364C211yesmaximal, characteristic, complemented
13#13072280C211yesmaximal, characteristic, complemented
14#13072165C211yesmaximal, characteristic, complemented
15#13072091C211yesmaximal, characteristic, complemented
16#13072010C211yesmaximal, characteristic, complemented
17#13071989C211yesmaximal, characteristic
18#13071942C211yesmaximal, characteristic, complemented
19#13071902C211yesmaximal, characteristic, complemented
20#13071876C211yesmaximal, characteristic, complemented
21#13071856C211yesmaximal, characteristic, complemented
22#13071852C211yesmaximal, characteristic, complemented
23C4×#66950C211yesmaximal, characteristic, complemented
24C4×#66939C211yesmaximal, characteristic, complemented
25C4×#66983C211yesmaximal, characteristic, complemented
26C4×#66935C211yesmaximal, characteristic, complemented
27C4×#66935C211yesmaximal, characteristic, complemented
28#13071060C211yesmaximal, characteristic, complemented
29#13070995C211yesmaximal, characteristic, complemented
30C2×C4×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
31C11×#2290C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×C11×#117C2211yescharacteristic, complemented
37C22×C42×C11C2211yescharacteristic, complemented
38C2×#66992C2211yescharacteristic
39C2×#66988C2211yescharacteristic
40C2×D4×Dic11C2211yescharacteristic
41C2×#66983C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic, complemented
45C2×C4×C22⋊D11C2211yescharacteristic, complemented
46C22×(C2×D11)⋊C4C2211yescharacteristic
47C22×(C2×D11)⋊C4C2211yescharacteristic
48C2×#66979C2211yescharacteristic, complemented
49C22×C4×Dic11C2211yescharacteristic, complemented
50C4×D4×D11—28no—
51#10623069—28no—
52C2×#66951C2211yescharacteristic, complemented
53C2×#66950C2211yescharacteristic
54C2×#66946C2211yescharacteristic
55C2×C4⋊C4×D11C2211yescharacteristic
56C2×#66942C2211yescharacteristic, complemented
57C2×#66939C2211yescharacteristic
58C2×#66939C2211yescharacteristic, complemented
59C2×#66938C2211yescharacteristic, complemented
60C2×#66935C2211yescharacteristic
61C2×#66935C2211yescharacteristic
62C2×(C22⋊D11)⋊C4C2211yescharacteristic
63C2×(C22⋊D11)⋊C4C2211yescharacteristic
64C2×C22⋊C4×D11C2211yescharacteristic
65C2×C22⋊C4×D11C2211yescharacteristic
66C2×#66932C2211yescharacteristic, complemented
67C2×#66931C2211yescharacteristic, complemented
68C2×C4×D44C2211yescharacteristic
69C2×C4×D44C2211yescharacteristic
70C2×C4×D44C2211yescharacteristic, complemented
71C2×C4×D44C2211yescharacteristic, complemented
72C2×#66925C2211yescharacteristic, complemented
73C2×C42×D11C2211yescharacteristic
74C2×C4×Dic22C2211yescharacteristic, complemented
75C11×#388C2211yescharacteristic, complemented
76C11×#388C2211yescharacteristic, complemented
77C11×#387C2211yescharacteristic, complemented
78C11×#387C2211yescharacteristic, complemented
79C11×#386C2211yescharacteristic
80C11×#386C2211yescharacteristic
81C11×#385C2211yescharacteristic, complemented
82C11×#385C2211yescharacteristic, complemented
83C4×C11×C4⋊C4C2211yescharacteristic, complemented
84C4×C11×C22⋊C4C2211yescharacteristic, complemented
85C4×C11×C22⋊C4C2211yescharacteristic, complemented
86C11×#376C2211yescharacteristic, complemented
87#10622826C2211yescharacteristic
88#10622826C2211yescharacteristic, complemented
89#10622825C2211yescharacteristic, complemented
90C2×C11⋊#95C2211yescharacteristic, complemented
91C2×C11⋊#95C2211yescharacteristic, complemented
92#10622607C2211yescharacteristic, complemented
93#10622607C2211yescharacteristic, complemented
94#10622607C2211yescharacteristic, complemented
95#10622607C2211yescharacteristic, complemented
96#10622604C2211yescharacteristic, complemented
97#10622604C2211yescharacteristic, complemented
98#10622604C2211yescharacteristic, complemented
99#10622600C2211yescharacteristic
100#10622600C2211yescharacteristic
101#10622600C2211yescharacteristic
102#10622600C2211yescharacteristic, complemented
103#10622600C2211yescharacteristic, complemented
104#10622598C2211yescharacteristic, complemented
105#10622596C2211yescharacteristic, complemented
106#10622587C2211yescharacteristic, complemented
107#10622574C2211yescharacteristic
108#10622574C2211yescharacteristic
109#10622574C2211yescharacteristic
110#10622574C2211yescharacteristic, complemented
111#10622573C2211yescharacteristic
112#10622571C2211yescharacteristic
113#10622571C2211yescharacteristic, complemented
114#10622571C2211yescharacteristic, complemented
115#10622568C2211yescharacteristic
116#10622568C2211yescharacteristic
117#10622568C2211yescharacteristic
118#10622568C2211yescharacteristic
119#10622566C2211yescharacteristic, complemented
120#10622566C2211yescharacteristic, complemented
121#10622566C2211yescharacteristic, complemented
122#10622563C2211yescharacteristic, complemented
123#10622563C2211yescharacteristic, complemented
124#10622563C2211yescharacteristic, complemented
125#10622556C2211yescharacteristic, complemented
126#10622556C2211yescharacteristic, complemented
127#10622556C2211yescharacteristic, complemented
128#10622553C2211yescharacteristic, complemented
129#10622553C2211yescharacteristic, complemented
130#10622552C2211yescharacteristic, complemented
131C4×(C2×D11)⋊C4C2211yescharacteristic
132C4×(C2×D11)⋊C4C2211yescharacteristic
133C4×(C2×D11)⋊C4C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
137C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
138C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
139C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
140C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
141C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
142C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
143C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
144C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
145C4×C4⋊Dic11C2211yescharacteristic, complemented
146C4×C4⋊Dic11C2211yescharacteristic, complemented
147C4×C4⋊Dic11C2211yescharacteristic, complemented
148#10622541C2211yescharacteristic, complemented
149#10622290C2211yescharacteristic, complemented
150#10622287C2211yescharacteristic, complemented
151#10622287C2211yescharacteristic, complemented
152#10622287C2211yescharacteristic, complemented
153#10622287C2211yescharacteristic, complemented
154#10622286C2211yescharacteristic, complemented
155#10622286C2211yescharacteristic, complemented
156#10622285C2211yescharacteristic
157#10622285C2211yescharacteristic
158#10622285C2211yescharacteristic
159#10622284C2211yescharacteristic
160#10622283C2211yescharacteristic, complemented
161#10622283C2211yescharacteristic, complemented
162#10622283C2211yescharacteristic, complemented
163#10622283C2211yescharacteristic, complemented
164#10622281C2211yescharacteristic
165#10622281C2211yescharacteristic
166#10622281C2211yescharacteristic
167#10622281C2211yescharacteristic
168#10622281C2211yescharacteristic
169#10622281C2211yescharacteristic
170#10622281C2211yescharacteristic, complemented
171#10622281C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic, complemented
178#10622274C2211yescharacteristic, complemented
179#10622274C2211yescharacteristic, complemented
180#10622272C2211yescharacteristic, complemented
181#10622272C2211yescharacteristic, complemented
182#10622272C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622266C2211yescharacteristic, complemented
185#10622266C2211yescharacteristic, complemented
186#10622266C2211yescharacteristic, complemented
187#10622266C2211yescharacteristic, complemented
188#10622266C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C2×D4×D11—24no—
205C2×D4×D11—24no—
206C2×D4×D11—24no—
207C22×D44C2311yescharacteristic
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×C4×D11—24no—
212C22×C4×D11—24no—
213C22×C4×D11—24no—
214C22×C4×D11—24no—
215C22×C4×D11—42no—
216C22×C4×D11—42no—
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×Dic22C2311yescharacteristic
228C4×D4×C11D418yescomplemented
229C11×#117—42no—
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C42×C11—42no—
244C2×C42×C11C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C42×C11C2311yescharacteristic
249C2×C42×C11C2311yescharacteristic
250C2×C42×C11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257#66992—24no—
258#66988—24no—
259D4×Dic11—24no—
260#66983—24no—
261C4×C22⋊D11—24no—
262C4×C22⋊D11—24no—
263C4×C22⋊D11—24no—
264C4×C22⋊D11—24no—
265C2×(C2×D11)⋊C4—24no—
266C2×(C2×D11)⋊C4—24no—
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301#66979—24no—
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×C4×Dic11—24no—
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332#66951—24no—
333#66950—24no—
334#66946—24no—
335C4⋊C4×D11—24no—
336#66942—24no—
337#66939—24no—
338#66939—24no—
339#66938—24no—
340#66935—24no—
341#66935—24no—
342(C22⋊D11)⋊C4—24no—
343(C22⋊D11)⋊C4—24no—
344C22⋊C4×D11—24no—
345C22⋊C4×D11—24no—
346#66932—24no—
347#66931—24no—
348C4×D44—24no—
349C4×D44—24no—
350C4×D44—42no—
351C4×D44—42no—
352#66925—24no—
353C42×D11—24no—
354C4×Dic22—24no—
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11×#95C2311yescharacteristic
364C11×#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#34670—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C23×D11—22no—
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—22no—
401C23×D11—22no—
402C23×D11—22no—
403C23×D11—41no—
404C23×D11—41no—
405C23×D11—41no—
406C23×D11—41no—
407C23×D11#4114yes—
408C23×D11C2411yescharacteristic
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11C2×D414yes—
415C22×C4×C11—22no—
416C22×C4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
419C22×C4×C11—22no—
420C22×C4×C11—22no—
421C22×C4×C11—22no—
422C22×C4×C11—41no—
423C22×C4×C11—41no—
424C22×C4×C11—41no—
425C22×C4×C11C2×D414yes—
426C22×C4×C11C2×D414yes—
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11#4114yes—
452C22×Dic11—22no—
453C22×Dic11—22no—
454C22×Dic11—22no—
455C22×Dic11—22no—
456C22×Dic11—22no—
457C22×Dic11—22no—
458C22×Dic11—22no—
459C22×Dic11—22no—
460C22×Dic11—22no—
461C22×Dic11—41no—
462C22×Dic11—41no—
463C22×Dic11—41no—
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476D4×D11—232no—
477C2×D44—22no—
478C2×D44—22no—
479C2×D44—22no—
480C2×D44—22no—
481C2×D44—22no—
482C2×D44—22no—
483C2×D44—22no—
484C2×D44—22no—
485C2×D44—22no—
486C2×D44—41no—
487C2×D44—41no—
488C2×D44—41no—
489C2×C4×D11—22no—
490C2×C4×D11—22no—
491C2×C4×D11—22no—
492C2×C4×D11—22no—
493C2×C4×D11—22no—
494C2×C4×D11—22no—
495C2×C4×D11—22no—
496C2×C4×D11—22no—
497C2×C4×D11—22no—
498C2×C4×D11—22no—
499C2×C4×D11—22no—
500C2×C4×D11—22no—
501C2×C4×D11—22no—
502C2×C4×D11—22no—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—22no—
509C2×C4×D11—22no—
510C2×C4×D11—22no—
511C2×C4×D11—22no—
512C2×C4×D11—22no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11—41no—
518C2×C4×D11—416no—
519C2×C4×D11—416no—
520C2×C4×D11#4114yes—
521C2×Dic22—22no—
522C2×Dic22—22no—
523C2×Dic22—41no—
524C11×C4⋊C4—22no—
525C11×C4⋊C4—41no—
526C11×C4⋊C4—41no—
527C11×C4⋊C4—41no—
528C11×C4⋊C4C2×D414yes—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4—22no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4—41no—
534C11×C22⋊C4—41no—
535C11×C22⋊C4C2×D414yes—
536C11×C22⋊C4C2×D414yes—
537C42×C11—22no—
538C42×C11—22no—
539C42×C11—22no—
540C42×C11—22no—
541C42×C11—41no—
542C42×C11—41no—
543C42×C11C2×D414yes—
544C22⋊Dic11—22no—
545C22⋊Dic11—22no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—22no—
553(C2×D11)⋊C4—22no—
554(C2×D11)⋊C4—22no—
555(C2×D11)⋊C4—22no—
556(C2×D11)⋊C4—22no—
557(C2×D11)⋊C4—22no—
558(C2×D11)⋊C4—22no—
559(C2×D11)⋊C4—22no—
560(C2×D11)⋊C4—22no—
561(C2×D11)⋊C4—22no—
562(C2×D11)⋊C4—22no—
563(C2×D11)⋊C4—22no—
564(C2×D11)⋊C4—22no—
565(C2×D11)⋊C4—22no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—41no—
576(C2×D11)⋊C4—41no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4—41no—
580(C2×D11)⋊C4—41no—
581(C2×D11)⋊C4—41no—
582(C2×D11)⋊C4—41no—
583(C2×D11)⋊C4#4114yes—
584C4⋊Dic11—22no—
585C4⋊Dic11—22no—
586C4⋊Dic11—22no—
587C4⋊Dic11—22no—
588C4⋊Dic11—22no—
589C4⋊Dic11—22no—
590C4⋊Dic11—22no—
591C4⋊Dic11—22no—
592C4⋊Dic11—22no—
593C4⋊Dic11—22no—
594C4⋊Dic11—41no—
595C4⋊Dic11—41no—
596C4⋊Dic11—41no—
597Dic11⋊C4—22no—
598Dic11⋊C4—22no—
599Dic11⋊C4—22no—
600Dic11⋊C4—22no—
601Dic11⋊C4—22no—
602Dic11⋊C4—22no—
603Dic11⋊C4—22no—
604Dic11⋊C4—22no—
605C4×Dic11—22no—
606C4×Dic11—22no—
607C4×Dic11—22no—
608C4×Dic11—22no—
609C4×Dic11—22no—
610C4×Dic11—22no—
611C4×Dic11—22no—
612C4×Dic11—22no—
613C2×#529—111no—
614C22×C4×D4—111no—
615#2481—111no—
616#2480—111no—
617#2473—111no—
618#2472—111no—
619#2467—111no—
620#2466—111no—
621#2460—111no—
622#2459—111no—
623#2450—111no—
624#2444—111no—
625#2437—111no—
626#2425—111no—
627#2419—111no—
628#2412—111no—
629#2410—111no—
630#2405—111no—
631#2398—111no—
632#2395—111no—
633#2392—111no—
634#2392—111no—
635C4×C22⋊Q8—111no—
636C4×#123—111no—
637C4×#121—111no—
638C4×#120—111no—
639C4×#120—111no—
640#2290—111no—
641#2290D1111yescharacteristic, complemented
642#2280—111no—
643C2×C4×C22⋊C4—111no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11C22×D412yes—
655C23×C11C22×D412yes—
656C23×C11C2×#4112yes—
657C23×C11C2×#4112yes—
658C23×C11C2511yescharacteristic
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—28no—
664C22×D11—28no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—28no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—44no—
686C22×D11—44no—
687C22×D11—44no—
688C22×D11—44no—
689C22×D11—44no—
690C22×D11—44no—
691C22×D11—44no—
692C22×D11—44no—
693C22×D11—44no—
694C22×D11—44no—
695C22×D11—44no—
696C22×D11C2×#4112yes—
697C22×D11C2×#4112yes—
698C22×D11C2×#4112yes—
699C22×D11C2×#4112yes—
700C22×D11C2×#4112yes—
701D4×C11—28no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—28no—
713C2×C4×C11—28no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—44no—
736C2×C4×C11—44no—
737C2×C4×C11C22×D412yes—
738C2×C4×C11C22×D412yes—
739C2×C4×C11C22×D412yes—
740C2×C4×C11C22×D412yes—
741C2×C4×C11C22×D412yes—
742C2×C4×C11C2×#4112yes—
743C2×C4×C11C2×#4112yes—
744C2×C4×C11H(5,𝔽2)12yes—
745C22⋊D11—28no—
746C22⋊D11—28no—
747C22⋊D11—44no—
748C22⋊D11—44no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—44no—
783C2×Dic11—44no—
784C2×Dic11—44no—
785C2×Dic11—44no—
786C2×Dic11C2×#4112yes—
787C2×Dic11C2×#4112yes—
788C2×Dic11C2×#4112yes—
789D44—28no—
790D44—44no—
791D44—44no—
792D44—44no—
793C4×D11—28no—
794C4×D11—28no—
795C4×D11—44no—
796C4×D11—44no—
797C4×D11—44no—
798C4×D11—44no—
799C4×D11—44no—
800C4×D11—44no—
801C4×D11—44no—
802C4×D11—44no—
803Dic22—44no—
804C23×D4—111no—
805C24×C4—111no—
806C24×C4—111no—
807#529—228no—
808C2×#126—111no—
809C2×#126—111no—
810C2×#125—111no—
811C2×#124—111no—
812C2×#123—111no—
813C2×#123—111no—
814C2×#123—111no—
815C2×C22⋊Q8—111no—
816C2×C22⋊Q8—111no—
817C2×#121—111no—
818C2×#121—111no—
819C2×#120—111no—
820C2×#120—111no—
821C2×C4×Q8—111no—
822C2×C4×D4—111no—
823C2×C4×D4—111no—
824C2×C4×D4—111no—
825C2×C4×D4—111no—
826C2×C4×D4—111no—
827C2×C4×D4—111no—
828C2×C4×D4—111no—
829C2×C4×D4—111no—
830C2×C4×D4—111no—
831C2×C4×D4—111no—
832C2×C4×D4—111no—
833C2×C4×D4—111no—
834C2×C4×D4—228no—
835C2×C4×D4C2×D1111yescharacteristic
836C2×#117—111no—
837C2×#117—111no—
838C2×#117C2×D1111yescharacteristic, complemented
839C22×C4⋊C4—111no—
840C22×C22⋊C4—111no—
841C22×C22⋊C4—111no—
842C22×C22⋊C4—111no—
843C22×C22⋊C4—111no—
844C22×C42—111no—
845C22×C42—111no—
846C22×C42C2×D1111yescharacteristic, complemented
847#400—111no—
848#400—111no—
849#400—111no—
850#399—111no—
851#398—111no—
852#398—111no—
853#398—111no—
854#397—111no—
855#397—111no—
856#397—111no—
857#397—111no—
858#397—111no—
859#397—111no—
860#397—111no—
861#396—111no—
862#396—111no—
863#396—111no—
864#396—111no—
865#394—111no—
866#394—111no—
867#394—111no—
868#394—111no—
869#394—111no—
870#394—111no—
871#394—111no—
872#394—111no—
873#394—111no—
874#394—111no—
875#393—111no—
876#393—111no—
877#392—111no—
878#392—111no—
879#391—111no—
880#390—111no—
881#389—111no—
882#389—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388C2×D1111yescharacteristic, complemented
890#388C2×D1111yescharacteristic, complemented
891#387—111no—
892#387—111no—
893#387—111no—
894#387—111no—
895#387—111no—
896#387—111no—
897#387C2×D1111yescharacteristic, complemented
898#387C2×D1111yescharacteristic, complemented
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386C2×D1111yescharacteristic
911#386C2×D1111yescharacteristic
912#385—111no—
913#385—111no—
914#385—111no—
915#385—111no—
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#385—111no—
921#385—111no—
922#385—111no—
923#385C2×D1111yescharacteristic, complemented
924#385C2×D1111yescharacteristic, complemented
925#381—111no—
926#381—111no—
927#381—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#380—111no—
932#380—111no—
933#380—111no—
934#379—111no—
935#379—111no—
936#379—111no—
937#379—111no—
938C4×C4⋊C4—111no—
939C4×C4⋊C4—111no—
940C4×C4⋊C4—111no—
941C4×C4⋊C4C2×D1111yescharacteristic, complemented
942C4×C22⋊C4—111no—
943C4×C22⋊C4—111no—
944C4×C22⋊C4—111no—
945C4×C22⋊C4—111no—
946C4×C22⋊C4—111no—
947C4×C22⋊C4—111no—
948C4×C22⋊C4—111no—
949C4×C22⋊C4—111no—
950C4×C22⋊C4—111no—
951C4×C22⋊C4—111no—
952C4×C22⋊C4—111no—
953C4×C22⋊C4—111no—
954C4×C22⋊C4—111no—
955C4×C22⋊C4—111no—
956C4×C22⋊C4C2×D1111yescharacteristic, complemented
957C4×C22⋊C4C2×D1111yescharacteristic, complemented
958#376C2×D1111yescharacteristic, complemented
959C2×#95—111no—
960C2×#95—111no—
961C22×C11—22no—
962C22×C11—22no—
963C22×C11—22no—
964C22×C11—22no—
965C22×C11—22no—
966C22×C11—22no—
967C22×C11—22no—
968C22×C11—22no—
969C22×C11—22no—
970C22×C11—41no—
971C22×C11—41no—
972C22×C11—41no—
973C22×C11—41no—
974C22×C11#52514yes—
975C22×C11C23×D411yescharacteristic
976C22×C11C22×#4111yescharacteristic
977C22×C11C22×#4111yescharacteristic
978C22×C11C22×#4111yescharacteristic
979C22×C11C22×#4111yescharacteristic
980C22×C11C2×H(5,𝔽2)11yescharacteristic
981C22×C11#58511yescharacteristic
982C2×D11—22no—
983C2×D11—22no—
984C2×D11—22no—
985C2×D11—22no—
986C2×D11—22no—
987C2×D11—22no—
988C2×D11—22no—
989C2×D11—22no—
990C2×D11—22no—
991C2×D11—22no—
992C2×D11—22no—
993C2×D11—22no—
994C2×D11—416no—
995C2×D11—416no—
996C2×D11—41no—
997C2×D11—41no—
998C2×D11—41no—
999C2×D11—41no—
1000C2×D11—41no—
1001C2×D11—41no—
1002C2×D11—41no—
1003C2×D11—41no—
1004C2×D11—41no—
1005C2×D11—41no—
1006C2×D11—41no—
1007C2×D11—41no—
1008C2×D11—41no—
1009C2×D11—41no—
1010C2×D11—41no—
1011C2×D11#52914yescomplemented
1012C4×C11—22no—
1013C4×C11—22no—
1014C4×C11—22no—
1015C4×C11—22no—
1016C4×C11—22no—
1017C4×C11—41no—
1018C4×C11—41no—
1019C4×C11—41no—
1020C4×C11—41no—
1021C4×C11—41no—
1022C4×C11—41no—
1023C4×C11—41no—
1024C4×C11#54614yes—
1025Dic11—22no—
1026Dic11—22no—
1027Dic11—22no—
1028Dic11—41no—
1029Dic11—41no—
1030Dic11—41no—
1031Dic11—41no—
1032Dic11—41no—
1033Dic11—41no—
1034Dic11—41no—
1035Dic11—41no—
1036Dic11—41no—
1037C25—111no—
1038C25—111no—
1039C22×Q8—111no—
1040C22×D4—111no—
1041C22×D4—111no—
1042C22×D4—111no—
1043C22×D4—111no—
1044C22×D4—111no—
1045C22×D4—111no—
1046C22×D4—111no—
1047C22×D4—111no—
1048C22×D4—224no—
1049C22×D4—224no—
1050C22×D4—224no—
1051C22×D4C22×D1111yescharacteristic
1052C23×C4—111no—
1053C23×C4—111no—
1054C23×C4—111no—
1055C23×C4—111no—
1056C23×C4—111no—
1057C23×C4—111no—
1058C23×C4—111no—
1059C23×C4—111no—
1060C23×C4—111no—
1061C23×C4—111no—
1062C23×C4—111no—
1063C23×C4—111no—
1064C23×C4—111no—
1065C23×C4—111no—
1066C23×C4—224no—
1067C23×C4—224no—
1068C23×C4—224no—
1069C23×C4—224no—
1070C23×C4—442no—
1071C23×C4—442no—
1072C23×C4C22×D1111yescharacteristic
1073C23×C4C22×D1111yescharacteristic
1074C23×C4C22×D1111yescharacteristic
1075C23×C4C22×D1111yescharacteristic
1076#126—224no—
1077#126—224no—
1078#125—224no—
1079#124—224no—
1080#123—224no—
1081#123—224no—
1082#123—224no—
1083C22⋊Q8—224no—
1084C22⋊Q8—224no—
1085#121—224no—
1086#121—224no—
1087#120—224no—
1088#120—224no—
1089C4×Q8—224no—
1090C4×D4—224no—
1091C4×D4—224no—
1092C4×D4—224no—
1093C4×D4—224no—
1094C4×D4—224no—
1095C4×D4—224no—
1096C4×D4—224no—
1097C4×D4—224no—
1098C4×D4—224no—
1099C4×D4—224no—
1100C4×D4—442no—
1101C4×D4—442no—
1102C4×D4D4418yescomplemented
1103#117—42no—
1104#117—224no—
1105#117—224no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4—111no—
1111C2×C4⋊C4—111no—
1112C2×C4⋊C4—111no—
1113C2×C4⋊C4—111no—
1114C2×C4⋊C4—111no—
1115C2×C4⋊C4—111no—
1116C2×C4⋊C4—111no—
1117C2×C4⋊C4—111no—
1118C2×C4⋊C4—111no—
1119C2×C4⋊C4—111no—
1120C2×C4⋊C4—111no—
1121C2×C4⋊C4—111no—
1122C2×C4⋊C4—111no—
1123C2×C4⋊C4—111no—
1124C2×C4⋊C4—111no—
1125C2×C4⋊C4—111no—
1126C2×C4⋊C4—111no—
1127C2×C4⋊C4—224no—
1128C2×C4⋊C4C22×D1111yescharacteristic
1129C2×C4⋊C4C22×D1111yescharacteristic
1130C2×C4⋊C4C22×D1111yescharacteristic
1131C2×C4⋊C4C22×D1111yescharacteristic
1132C2×C4⋊C4C22×D1111yescharacteristic
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—224no—
1174C2×C22⋊C4—224no—
1175C2×C22⋊C4—224no—
1176C2×C22⋊C4—224no—
1177C2×C22⋊C4C22×D1111yescharacteristic
1178C2×C22⋊C4C22×D1111yescharacteristic
1179C2×C22⋊C4C22×D1111yescharacteristic
1180C2×C22⋊C4C22×D1111yescharacteristic
1181C2×C22⋊C4C22×D1111yescharacteristic
1182C2×C22⋊C4C22×D1111yescharacteristic
1183C2×C22⋊C4C22×D1111yescharacteristic
1184C2×C22⋊C4C22×D1111yescharacteristic
1185C2×C42—42no—
1186C2×C42—111no—
1187C2×C42—111no—
1188C2×C42—111no—
1189C2×C42—111no—
1190C2×C42—111no—
1191C2×C42—111no—
1192C2×C42—111no—
1193C2×C42—111no—
1194C2×C42—224no—
1195C2×C42—224no—
1196C2×C42C22×D1111yescharacteristic
1197C2×C42C22×D1111yescharacteristic
1198C2×C42C22×D1111yescharacteristic
1199C2×C42C22×D1111yescharacteristic
1200C2×C42C22×D1111yescharacteristic
1201C2×C42C22×D1111yescharacteristic
1202C2×C42C22×D1111yescharacteristic
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95C22×D1111yescharacteristic
1230#95C22×D1111yescharacteristic
1231#95C22×D1111yescharacteristic
1232#95C22×D1111yescharacteristic
1233#95C22×D1111yescharacteristic
1234#95C22×D1111yescharacteristic
1235#95C22×D1111yescharacteristic
1236#95C22×D1111yescharacteristic
1237#95C22×D1111yescharacteristic
1238#95C22×D1111yescharacteristic
1239C2×C11—24no—
1240C2×C11—42no—
1241C2×C11C2×#52511yescharacteristic
1242C2×C11C2×#52911yescharacteristic
1243C2×C11#345911yescharacteristic
1244C2×C11C2×#54611yescharacteristic
1245C2×C11D4×#4111yescharacteristic
1246C2×C11#347511yescharacteristic
1247C2×C11#348111yescharacteristic
1248D11—24no—
1249D11—42no—
1250D11—42no—
1251D11—81no—
1252C24—111no—
1253C24—111no—
1254C24—111no—
1255C24—114no—
1256C24—111no—
1257C24—222no—
1258C24—222no—
1259C24—222no—
1260C24—222no—
1261C24—222no—
1262C24—222no—
1263C24—222no—
1264C24—222no—
1265C24—222no—
1266C24—441no—
1267C24—441no—
1268C24—441no—
1269C24—441no—
1270C24C23×D1111yescharacteristic
1271C24C23×D1111yescharacteristic
1272C2×Q8—222no—
1273C2×Q8—222no—
1274C2×Q8—441no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—114no—
1278C2×D4—222no—
1279C2×D4—222no—
1280C2×D4—222no—
1281C2×D4—222no—
1282C2×D4—222no—
1283C2×D4—222no—
1284C2×D4—222no—
1285C2×D4—222no—
1286C2×D4—222no—
1287C2×D4—2232no—
1288C2×D4—222no—
1289C2×D4—222no—
1290C2×D4—222no—
1291C2×D4—222no—
1292C2×D4—222no—
1293C2×D4—222no—
1294C2×D4—222no—
1295C2×D4—222no—
1296C2×D4—222no—
1297C2×D4—222no—
1298C2×D4—441no—
1299C2×D4—441no—
1300C2×D4—441no—
1301C2×D4—441no—
1302C2×D4C2×D4414yes—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—111no—
1314C22×C4—111no—
1315C22×C4—111no—
1316C22×C4—114no—
1317C22×C4—111no—
1318C22×C4—111no—
1319C22×C4—111no—
1320C22×C4—111no—
1321C22×C4—111no—
1322C22×C4—111no—
1323C22×C4—111no—
1324C22×C4—111no—
1325C22×C4—111no—
1326C22×C4—222no—
1327C22×C4—222no—
1328C22×C4—222no—
1329C22×C4—222no—
1330C22×C4—222no—
1331C22×C4—222no—
1332C22×C4—222no—
1333C22×C4—222no—
1334C22×C4—222no—
1335C22×C4—222no—
1336C22×C4—222no—
1337C22×C4—222no—
1338C22×C4—222no—
1339C22×C4—222no—
1340C22×C4—222no—
1341C22×C4—222no—
1342C22×C4—222no—
1343C22×C4—222no—
1344C22×C4—222no—
1345C22×C4—222no—
1346C22×C4—222no—
1347C22×C4—222no—
1348C22×C4—222no—
1349C22×C4—222no—
1350C22×C4—222no—
1351C22×C4—222no—
1352C22×C4—222no—
1353C22×C4—222no—
1354C22×C4—222no—
1355C22×C4—222no—
1356C22×C4—222no—
1357C22×C4—222no—
1358C22×C4—222no—
1359C22×C4—441no—
1360C22×C4—441no—
1361C22×C4—441no—
1362C22×C4—441no—
1363C22×C4—441no—
1364C22×C4—4416no—
1365C22×C4—4416no—
1366C22×C4—441no—
1367C22×C4—441no—
1368C22×C4—441no—
1369C22×C4C2×D4414yes—
1370C22×C4C2×D4414yes—
1371C22×C4C23×D1111yescharacteristic
1372C22×C4C23×D1111yescharacteristic
1373C22×C4C23×D1111yescharacteristic
1374C22×C4C23×D1111yescharacteristic
1375C22×C4C23×D1111yescharacteristic
1376C22×C4C23×D1111yescharacteristic
1377C22×C4C23×D1111yescharacteristic
1378C22×C4C23×D1111yescharacteristic
1379C22×C4C23×D1111yescharacteristic
1380C22×C4C23×D1111yescharacteristic
1381C22×C4C23×D1111yescharacteristic
1382C22×C4C23×D1111yescharacteristic
1383C22×C4C23×D1111yescharacteristic
1384C4⋊C4—22no—
1385C4⋊C4—41no—
1386C4⋊C4—41no—
1387C4⋊C4—41no—
1388C4⋊C4—222no—
1389C4⋊C4—222no—
1390C4⋊C4—222no—
1391C4⋊C4—222no—
1392C4⋊C4—222no—
1393C4⋊C4—222no—
1394C4⋊C4—222no—
1395C4⋊C4—222no—
1396C4⋊C4—222no—
1397C4⋊C4—222no—
1398C4⋊C4—222no—
1399C4⋊C4—222no—
1400C4⋊C4—222no—
1401C4⋊C4—222no—
1402C4⋊C4—222no—
1403C4⋊C4—222no—
1404C4⋊C4—222no—
1405C4⋊C4—222no—
1406C4⋊C4—441no—
1407C4⋊C4—441no—
1408C4⋊C4—441no—
1409C4⋊C4C2×D4414yes—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—114no—
1417C22⋊C4—222no—
1418C22⋊C4—222no—
1419C22⋊C4—222no—
1420C22⋊C4—222no—
1421C22⋊C4—222no—
1422C22⋊C4—222no—
1423C22⋊C4—222no—
1424C22⋊C4—222no—
1425C22⋊C4—222no—
1426C22⋊C4—222no—
1427C22⋊C4—222no—
1428C22⋊C4—222no—
1429C22⋊C4—222no—
1430C22⋊C4—222no—
1431C22⋊C4—222no—
1432C22⋊C4—222no—
1433C22⋊C4—222no—
1434C22⋊C4—222no—
1435C22⋊C4—222no—
1436C22⋊C4—222no—
1437C22⋊C4—222no—
1438C22⋊C4—222no—
1439C22⋊C4—222no—
1440C22⋊C4—222no—
1441C22⋊C4—222no—
1442C22⋊C4—222no—
1443C22⋊C4—222no—
1444C22⋊C4—222no—
1445C22⋊C4—222no—
1446C22⋊C4—222no—
1447C22⋊C4—222no—
1448C22⋊C4—441no—
1449C22⋊C4—441no—
1450C22⋊C4—441no—
1451C22⋊C4—441no—
1452C22⋊C4—441no—
1453C22⋊C4—441no—
1454C22⋊C4—441no—
1455C22⋊C4—441no—
1456C22⋊C4C2×D4414yes—
1457C22⋊C4C2×D4414yes—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—41no—
1463C42—41no—
1464C42—222no—
1465C42—222no—
1466C42—222no—
1467C42—222no—
1468C42—222no—
1469C42—222no—
1470C42—222no—
1471C42—222no—
1472C42C2×D4414yes—
1473C11#3467011yescharacteristic, complemented, Sylow
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—112no—
1485C23—112no—
1486C23—112no—
1487C23—112no—
1488C23—112no—
1489C23—228no—
1490C23—228no—
1491C23—221no—
1492C23—221no—
1493C23—221no—
1494C23—221no—
1495C23—228no—
1496C23—221no—
1497C23—221no—
1498C23—221no—
1499C23—221no—
1500C23—221no—
1501C23—221no—
1502C23—221no—
1503C23—221no—
1504C23—221no—
1505C23—221no—
1506C23—221no—
1507C23—221no—
1508C23—221no—
1509C23—221no—
1510C23—221no—
1511C23—221no—
1512C23—221no—
1513C23—221no—
1514C23—221no—
1515C23—444no—
1516C23—444no—
1517C23—444no—
1518C23—444no—
1519C23—444no—
1520C23—444no—
1521C23—444no—
1522C23—444no—
1523C23—444no—
1524C23—444no—
1525C23—444no—
1526C23C22×D4412yes—
1527C23C22×D4412yes—
1528C23#41×D1112yes—
1529C23#41×D1112yes—
1530C23C24×D1111yescharacteristic
1531Q8—444no—
1532D4—28no—
1533D4—228no—
1534D4—228no—
1535D4—228no—
1536D4—444no—
1537D4—444no—
1538D4—444no—
1539D4—444no—
1540D4—444no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—28no—
1552C2×C4—28no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—112no—
1577C2×C4—112no—
1578C2×C4—112no—
1579C2×C4—228no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—228no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—221no—
1595C2×C4—221no—
1596C2×C4—221no—
1597C2×C4—221no—
1598C2×C4—221no—
1599C2×C4—221no—
1600C2×C4—221no—
1601C2×C4—221no—
1602C2×C4—221no—
1603C2×C4—221no—
1604C2×C4—221no—
1605C2×C4—221no—
1606C2×C4—221no—
1607C2×C4—221no—
1608C2×C4—221no—
1609C2×C4—221no—
1610C2×C4—221no—
1611C2×C4—221no—
1612C2×C4—221no—
1613C2×C4—221no—
1614C2×C4—444no—
1615C2×C4—444no—
1616C2×C4—444no—
1617C2×C4—444no—
1618C2×C4—444no—
1619C2×C4—444no—
1620C2×C4—444no—
1621C2×C4—444no—
1622C2×C4—444no—
1623C2×C4—444no—
1624C2×C4—444no—
1625C2×C4—444no—
1626C2×C4C22×D4412yes—
1627C2×C4C22×D4412yes—
1628C2×C4C22×D4412yes—
1629C2×C4C22×D4412yes—
1630C2×C4C22×D4412yes—
1631C2×C4#6703712yes—
1632C2×C4#41×D1112yes—
1633C2×C4#41×D1112yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—114no—
1648C22—222no—
1649C22—222no—
1650C22—222no—
1651C22—222no—
1652C22—222no—
1653C22—222no—
1654C22—222no—
1655C22—222no—
1656C22—222no—
1657C22—222no—
1658C22—222no—
1659C22—222no—
1660C22—4416no—
1661C22—4416no—
1662C22—441no—
1663C22—441no—
1664C22—441no—
1665C22—441no—
1666C22—441no—
1667C22—441no—
1668C22—441no—
1669C22—441no—
1670C22—441no—
1671C22—441no—
1672C22—441no—
1673C22—441no—
1674C22—441no—
1675C22—441no—
1676C22—441no—
1677C22#1062305514yes—
1678C22C23×D4411yescharacteristic
1679C22C2×#6703711yescharacteristic
1680C22C2×#41×D1111yescharacteristic
1681C22C2×#41×D1111yescharacteristic
1682C22C2×#41×D1111yescharacteristic
1683C22C2×#41×D1111yescharacteristic
1684C22#1062345311yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—222no—
1698C4—222no—
1699C4—222no—
1700C4—441no—
1701C4—441no—
1702C4—441no—
1703C4—441no—
1704C4—441no—
1705C4—441no—
1706C4—441no—
1707C4—441no—
1708C4—441no—
1709C4#1062308514yes—
1710C2—24no—
1711C2—42no—
1712C2—224no—
1713C2—442no—
1714C2—442no—
1715C2—881no—
1716C2C2×#1062305511yescharacteristic
1717C2D11×#52911yescharacteristic
1718C2#1308202311yescharacteristic
1719C2C2×#1062308511yescharacteristic
1720C2#41×D4411yescharacteristic
1721C2#1308216811yescharacteristic
1722C2#1308221811yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2290C2
prime radical#13071989C2
hypercenter#2290D11
hypocenterC11#34670
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2290

Complements

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

NH ≅ G/Ntype
1. C2×#10623069C2semidirect
2. C2×C4×D4×D11C2semidirect
3. #13072875C2semidirect
4. #13072860C2semidirect
5. #13072755C2semidirect
6. #13072740C2semidirect
7. #13072665C2semidirect
8. #13072650C2semidirect
9. #13072566C2semidirect
10. #13072551C2semidirect
11. #13072438C2semidirect
12. #13072364C2semidirect
13. #13072280C2semidirect
14. #13072165C2semidirect
15. #13072091C2semidirect
16. #13072010C2semidirect
18. #13071942C2semidirect
19. #13071902C2semidirect
20. #13071876C2semidirect
21. #13071856C2semidirect
22. #13071852C2semidirect
23. C4×#66950C2semidirect
24. C4×#66939C2semidirect
25. C4×#66983C2semidirect
26. C4×#66935C2semidirect
27. C4×#66935C2semidirect
28. #13071060C2semidirect
29. #13070995C2semidirect
30. C2×C4×(C2×D11)⋊C4C2semidirect
31. C11×#2290C2semidirect
36. C2×C11×#117C22semidirect
37. C22×C42×C11C22semidirect
44. C2×C4×C22⋊D11C22semidirect
45. C2×C4×C22⋊D11C22semidirect
48. C2×#66979C22semidirect
49. C22×C4×Dic11C22semidirect
52. C2×#66951C22semidirect
56. C2×#66942C22semidirect
58. C2×#66939C22semidirect
59. C2×#66938C22semidirect
66. C2×#66932C22semidirect
67. C2×#66931C22semidirect
70. C2×C4×D44C22semidirect
71. C2×C4×D44C22semidirect
72. C2×#66925C22semidirect
74. C2×C4×Dic22C22semidirect
75. C11×#388C22semidirect
76. C11×#388C22semidirect
77. C11×#387C22semidirect
78. C11×#387C22semidirect
81. C11×#385C22semidirect
82. C11×#385C22semidirect
83. C4×C11×C4⋊C4C22semidirect
84. C4×C11×C22⋊C4C22semidirect
85. C4×C11×C22⋊C4C22semidirect
86. C11×#376C22semidirect
88. #10622826C22semidirect
89. #10622825C22semidirect
90. C2×C11⋊#95C22semidirect
91. C2×C11⋊#95C22semidirect
92. #10622607C22semidirect
93. #10622607C22semidirect
94. #10622607C22semidirect
95. #10622607C22semidirect
96. #10622604C22semidirect
97. #10622604C22semidirect
98. #10622604C22semidirect
102. #10622600C22semidirect
103. #10622600C22semidirect
104. #10622598C22semidirect
105. #10622596C22semidirect
106. #10622587C22semidirect
110. #10622574C22semidirect
113. #10622571C22semidirect
114. #10622571C22semidirect
119. #10622566C22semidirect
120. #10622566C22semidirect
121. #10622566C22semidirect
122. #10622563C22semidirect
123. #10622563C22semidirect
124. #10622563C22semidirect
125. #10622556C22semidirect
126. #10622556C22semidirect
127. #10622556C22semidirect
128. #10622553C22semidirect
129. #10622553C22semidirect
130. #10622552C22semidirect
136. C4×(C2×D11)⋊C4C22semidirect
137. C4×(C2×D11)⋊C4C22semidirect
138. C4×(C2×D11)⋊C4C22semidirect
139. C4×(C2×D11)⋊C4C22semidirect
140. C4×(C2×D11)⋊C4C22semidirect
141. C4×(C2×D11)⋊C4C22semidirect
142. C4×(C2×D11)⋊C4C22semidirect
143. C4×(C2×D11)⋊C4C22semidirect
144. C4×(C2×D11)⋊C4C22semidirect
145. C4×C4⋊Dic11C22semidirect
146. C4×C4⋊Dic11C22semidirect
147. C4×C4⋊Dic11C22semidirect
148. #10622541C22semidirect
149. #10622290C22semidirect
150. #10622287C22semidirect
151. #10622287C22semidirect
152. #10622287C22semidirect
153. #10622287C22semidirect
154. #10622286C22semidirect
155. #10622286C22semidirect
160. #10622283C22semidirect
161. #10622283C22semidirect
162. #10622283C22semidirect
163. #10622283C22semidirect
170. #10622281C22semidirect
171. #10622281C22semidirect
176. #10622278C22semidirect
177. #10622278C22semidirect
178. #10622274C22semidirect
179. #10622274C22semidirect
180. #10622272C22semidirect
181. #10622272C22semidirect
182. #10622272C22semidirect
183. #10622266C22semidirect
184. #10622266C22semidirect
185. #10622266C22semidirect
186. #10622266C22semidirect
187. #10622266C22semidirect
188. #10622266C22semidirect
228. C4×D4×C11D4semidirect
641. #2290D11semidirect
838. C2×#117C2×D11semidirect
846. C22×C42C2×D11semidirect
889. #388C2×D11semidirect
890. #388C2×D11semidirect
897. #387C2×D11semidirect
898. #387C2×D11semidirect
923. #385C2×D11semidirect
924. #385C2×D11semidirect
941. C4×C4⋊C4C2×D11semidirect
956. C4×C22⋊C4C2×D11semidirect
957. C4×C22⋊C4C2×D11semidirect
958. #376C2×D11semidirect
1011. C2×D11#529semidirect
1102. C4×D4D44semidirect
1473. C11#34670semidirect

Maximal subgroups

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

subgroupindex
C2×#106230692
C2×C4×D4×D112
#130728752
#130728602
#130727552
#130727402
#130726652
#130726502
#130725662
#130725512
#130724382
#130723642
#130722802
#130721652
#130720912
#130720102
#130719892
#130719422
#130719022
#130718762
#130718562
#130718522
C4×#669502
C4×#669392
C4×#669832
C4×#669352
#130710602
#130709952
C2×C4×(C2×D11)⋊C42
C11×#22902
#3467011