Finite Group Databasebeta

← #14921550

Subgroups — #14921550

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×#10623010C211yesmaximal, characteristic, complemented
2C22×C4×C22⋊D11C211yesmaximal, characteristic, complemented
3#13072877C211yesmaximal, characteristic, complemented
4#13072862C211yesmaximal, characteristic, complemented
5#13072757C211yesmaximal, characteristic, complemented
6#13072742C211yesmaximal, characteristic, complemented
7#13072667C211yesmaximal, characteristic, complemented
8#13072652C211yesmaximal, characteristic, complemented
9#13072568C211yesmaximal, characteristic, complemented
10#13072553C211yesmaximal, characteristic, complemented
11#13072440C211yesmaximal, characteristic, complemented
12#13072366C211yesmaximal, characteristic, complemented
13#13072277C211yesmaximal, characteristic, complemented
14#13072167C211yesmaximal, characteristic, complemented
15#13072093C211yesmaximal, characteristic, complemented
16#13072012C211yesmaximal, characteristic, complemented
17#13071984C211yesmaximal, characteristic
18#13071943C211yesmaximal, characteristic, complemented
19#13071903C211yesmaximal, characteristic, complemented
20#13071877C211yesmaximal, characteristic, complemented
21#13071860C211yesmaximal, characteristic, complemented
22#13071860C211yesmaximal, characteristic, complemented
23C4×#66931C211yesmaximal, characteristic, complemented
24C4×#66982C211yesmaximal, characteristic, complemented
25C4×#66983C211yesmaximal, characteristic, complemented
26C4×#66935C211yesmaximal, characteristic, complemented
27C4×#67006C211yesmaximal, characteristic, complemented
28#13071059C211yesmaximal, characteristic, complemented
29#13071055C211yesmaximal, characteristic, complemented
30#13070997C211yesmaximal, characteristic, complemented
31C2×C4×C11×C22⋊C4C211yesmaximal, characteristic, complemented
32C24×C4×C11C2211yescharacteristic
33C23×C22⋊D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C22×C11×C22⋊C4C2211yescharacteristic
36C22×C11×C22⋊C4C2211yescharacteristic
37C22×C42×C11C2211yescharacteristic, complemented
38C22×C42×C11C2211yescharacteristic, complemented
39C2×#67006C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C2×#66983C2211yescharacteristic
42C2×#66983C2211yescharacteristic
43C2×#66982C2211yescharacteristic
44C2×#66982C2211yescharacteristic
45C2×#66982C2211yescharacteristic, complemented
46C2×C4×C22⋊D11—28no—
47C2×C4×C22⋊D11C2211yescharacteristic
48C2×C4×C22⋊D11C2211yescharacteristic
49C2×C4×C22⋊D11C2211yescharacteristic
50C2×C4×C22⋊D11C2211yescharacteristic
51C2×C4×C22⋊D11C2211yescharacteristic
52C2×C4×C22⋊D11C2211yescharacteristic
53C2×C4×C22⋊D11C2211yescharacteristic
54C2×C4×C22⋊D11C2211yescharacteristic
55C2×C4×C22⋊D11C2211yescharacteristic
56C2×C4×C22⋊D11C2211yescharacteristic, complemented
57C2×C4×C22⋊D11C2211yescharacteristic, complemented
58C22×(C2×D11)⋊C4C2211yescharacteristic
59C2×#66977C2211yescharacteristic, complemented
60C22×Dic11⋊C4C2211yescharacteristic
61C22×C4×Dic11C2211yescharacteristic
62C2×#66935C2211yescharacteristic
63C2×#66931C2211yescharacteristic
64#10623010—28no—
65C2×#66929C2211yescharacteristic, complemented
66C2×#66929C2211yescharacteristic, complemented
67C2×#66928C2211yescharacteristic, complemented
68C2×C4×D44C2211yescharacteristic, complemented
69C2×C4×D44C2211yescharacteristic, complemented
70C2×#66925C2211yescharacteristic, complemented
71C2×#66925C2211yescharacteristic, complemented
72C2×#66925C2211yescharacteristic, complemented
73C2×#66923C2211yescharacteristic, complemented
74C2×C4×Dic22C2211yescharacteristic, complemented
75C4×C11×C22⋊C4C2211yescharacteristic
76C4×C11×C22⋊C4C2211yescharacteristic
77C4×C11×C22⋊C4C2211yescharacteristic
78C4×C11×C22⋊C4C2211yescharacteristic
79C4×C11×C22⋊C4C2211yescharacteristic, complemented
80C4×C11×C22⋊C4C2211yescharacteristic, complemented
81C4×C11×C22⋊C4C2211yescharacteristic, complemented
82C4×C11×C22⋊C4C2211yescharacteristic, complemented
83C2×C11×#95C2211yescharacteristic, complemented
84C2×C11×#95C2211yescharacteristic, complemented
85#10622860C2211yescharacteristic
86#10622826C2211yescharacteristic
87#10622826C2211yescharacteristic
88#10622826C2211yescharacteristic
89#10622826C2211yescharacteristic
90#10622826C2211yescharacteristic
91#10622826C2211yescharacteristic, complemented
92#10622826C2211yescharacteristic, complemented
93#10622826C2211yescharacteristic, complemented
94#10622825C2211yescharacteristic, complemented
95#10622824C2211yescharacteristic, complemented
96#10622823C2211yescharacteristic
97#10622823C2211yescharacteristic, complemented
98#10622823C2211yescharacteristic, complemented
99#10622823C2211yescharacteristic, complemented
100#10622823C2211yescharacteristic, complemented
101#10622823C2211yescharacteristic, complemented
102C4×C22⋊Dic11C2211yescharacteristic
103C4×C22⋊Dic11C2211yescharacteristic, complemented
104C4×C22⋊Dic11C2211yescharacteristic, complemented
105#10622574C2211yescharacteristic
106#10622574C2211yescharacteristic
107#10622573C2211yescharacteristic
108#10622573C2211yescharacteristic
109#10622572C2211yescharacteristic
110#10622572C2211yescharacteristic
111#10622572C2211yescharacteristic
112#10622572C2211yescharacteristic
113#10622572C2211yescharacteristic, complemented
114#10622572C2211yescharacteristic, complemented
115#10622571C2211yescharacteristic
116#10622571C2211yescharacteristic
117#10622571C2211yescharacteristic
118#10622568C2211yescharacteristic
119#10622568C2211yescharacteristic
120#10622568C2211yescharacteristic
121#10622565C2211yescharacteristic, complemented
122#10622565C2211yescharacteristic, complemented
123#10622563C2211yescharacteristic
124#10622563C2211yescharacteristic
125#10622562C2211yescharacteristic, complemented
126#10622561C2211yescharacteristic, complemented
127#10622561C2211yescharacteristic, complemented
128#10622560C2211yescharacteristic, complemented
129#10622559C2211yescharacteristic
130#10622559C2211yescharacteristic
131#10622559C2211yescharacteristic
132#10622555C2211yescharacteristic
133#10622555C2211yescharacteristic
134#10622555C2211yescharacteristic
135#10622553C2211yescharacteristic, complemented
136#10622553C2211yescharacteristic, complemented
137#10622553C2211yescharacteristic, complemented
138#10622553C2211yescharacteristic, complemented
139#10622553C2211yescharacteristic, complemented
140#10622553C2211yescharacteristic, complemented
141#10622552C2211yescharacteristic, complemented
142C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
143C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
144C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
146C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
147C4×C4⋊Dic11C2211yescharacteristic, complemented
148#10622546C2211yescharacteristic, complemented
149#10622546C2211yescharacteristic, complemented
150#10622546C2211yescharacteristic, complemented
151#10622546C2211yescharacteristic, complemented
152#10622545C2211yescharacteristic, complemented
153C4×Dic11⋊C4C2211yescharacteristic, complemented
154C4×Dic11⋊C4C2211yescharacteristic, complemented
155C4×Dic11⋊C4C2211yescharacteristic, complemented
156#10622541C2211yescharacteristic, complemented
157#10622289C2211yescharacteristic, complemented
158#10622289C2211yescharacteristic, complemented
159#10622288C2211yescharacteristic, complemented
160#10622288C2211yescharacteristic, complemented
161#10622288C2211yescharacteristic, complemented
162#10622288C2211yescharacteristic, complemented
163#10622287C2211yescharacteristic, complemented
164#10622286C2211yescharacteristic, complemented
165#10622285C2211yescharacteristic, complemented
166#10622285C2211yescharacteristic, complemented
167#10622282C2211yescharacteristic, complemented
168#10622282C2211yescharacteristic, complemented
169#10622281C2211yescharacteristic, complemented
170#10622281C2211yescharacteristic, complemented
171#10622280C2211yescharacteristic, complemented
172#10622280C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175#10622277C2211yescharacteristic, complemented
176#10622277C2211yescharacteristic, complemented
177#10622273C2211yescharacteristic, complemented
178#10622271C2211yescharacteristic, complemented
179#10622271C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622270C2211yescharacteristic, complemented
182#10622270C2211yescharacteristic, complemented
183#10622268C2211yescharacteristic, complemented
184#10622267C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C23×C4×C11—24no—
192C23×C4×C11—24no—
193C23×C4×C11—42no—
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C22×C22⋊D11—24no—
205C22×C22⋊D11—24no—
206C22×C22⋊D11—24no—
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C22×D44C2311yescharacteristic
219C22×C4×D11—24no—
220C22×C4×D11—24no—
221C22×C4×D11—42no—
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×Dic22C2311yescharacteristic
228C2×C11×C22⋊C4—24no—
229C2×C11×C22⋊C4—24no—
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C42×C11—24no—
239C2×C42×C11—42no—
240C2×C42×C11C2311yescharacteristic
241C2×C42×C11C2311yescharacteristic
242C2×C42×C11C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248#67006—24no—
249C2×C22⋊Dic11—24no—
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263#66983—24no—
264#66983—24no—
265#66982—24no—
266#66982—24no—
267#66982—24no—
268C4×C22⋊D11—24no—
269C4×C22⋊D11—24no—
270C4×C22⋊D11—24no—
271C4×C22⋊D11—24no—
272C4×C22⋊D11—24no—
273C4×C22⋊D11—24no—
274C4×C22⋊D11—24no—
275C4×C22⋊D11—24no—
276C4×C22⋊D11—24no—
277C4×C22⋊D11—42no—
278C4×C22⋊D11D418yescomplemented
279C2×(C2×D11)⋊C4—24no—
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
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×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312#66977—24no—
313C2×Dic11⋊C4—24no—
314C2×Dic11⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×Dic11⋊C4C2311yescharacteristic
332C2×Dic11⋊C4C2311yescharacteristic
333C2×Dic11⋊C4C2311yescharacteristic
334C2×Dic11⋊C4C2311yescharacteristic
335C2×C4×Dic11—24no—
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338C2×C4×Dic11C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342C2×C4×Dic11C2311yescharacteristic
343#66935—24no—
344#66931—24no—
345#66929—24no—
346#66929—24no—
347#66928—24no—
348C4×D44—24no—
349C4×D44—42no—
350#66925—24no—
351#66925—24no—
352#66925—42no—
353#66923—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×C11—22no—
393C24×C11—22no—
394C24×C11—22no—
395C24×C11—22no—
396C24×C11—41no—
397C24×C11—41no—
398C24×C11#4114yes—
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C24×C11C2411yescharacteristic
402C23×D11—22no—
403C23×D11—22no—
404C23×D11—22no—
405C23×D11—22no—
406C23×D11—22no—
407C23×D11—41no—
408C23×D11—41no—
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—22no—
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—22no—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—22no—
429C22×C4×C11—22no—
430C22×C4×C11—22no—
431C22×C4×C11—22no—
432C22×C4×C11—22no—
433C22×C4×C11—41no—
434C22×C4×C11—41no—
435C22×C4×C11—41no—
436C22×C4×C11—41no—
437C22×C4×C11—41no—
438C22×C4×C11—41no—
439C22×C4×C11—41no—
440C22×C4×C11—416no—
441C22×C4×C11C2×D414yes—
442C22×C4×C11#4114yes—
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
454C22×C4×C11C2411yescharacteristic
455C2×C22⋊D11—232no—
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—41no—
474C2×C22⋊D11—41no—
475C2×C22⋊D11C2×D414yes—
476C2×C22⋊D11#4114yes—
477C22×Dic11—22no—
478C22×Dic11—22no—
479C22×Dic11—22no—
480C22×Dic11—22no—
481C22×Dic11—22no—
482C22×Dic11—22no—
483C22×Dic11—22no—
484C22×Dic11—41no—
485C22×Dic11—41no—
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492C22×Dic11C2411yescharacteristic
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
496C22×Dic11C2411yescharacteristic
497C22×Dic11C2411yescharacteristic
498C22×Dic11C2411yescharacteristic
499C2×D44—22no—
500C2×D44—22no—
501C2×D44—22no—
502C2×D44—22no—
503C2×D44—41no—
504C2×D44—41no—
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—22no—
514C2×C4×D11—22no—
515C2×C4×D11—22no—
516C2×C4×D11—22no—
517C2×C4×D11—41no—
518C2×C4×D11—41no—
519C2×C4×D11—416no—
520C2×C4×D11C2×D414yes—
521C2×Dic22—22no—
522C2×Dic22—22no—
523C2×Dic22—41no—
524C11×C22⋊C4—22no—
525C11×C22⋊C4—22no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4—22no—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4#4114yes—
532C42×C11—22no—
533C42×C11—22no—
534C42×C11—22no—
535C42×C11—22no—
536C42×C11—22no—
537C42×C11—22no—
538C42×C11—41no—
539C42×C11—41no—
540C22⋊Dic11—22no—
541C22⋊Dic11—22no—
542C22⋊Dic11—22no—
543C22⋊Dic11—22no—
544C22⋊Dic11—22no—
545C22⋊Dic11—22no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—41no—
551C22⋊Dic11—41no—
552C22⋊Dic11C2×D414yes—
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—41no—
571(C2×D11)⋊C4—41no—
572(C2×D11)⋊C4—41no—
573(C2×D11)⋊C4—41no—
574(C2×D11)⋊C4—41no—
575(C2×D11)⋊C4—41no—
576(C2×D11)⋊C4—41no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4C2×D414yes—
580C4⋊Dic11—22no—
581C4⋊Dic11—22no—
582C4⋊Dic11—22no—
583C4⋊Dic11—22no—
584C4⋊Dic11—41no—
585Dic11⋊C4—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—22no—
588Dic11⋊C4—22no—
589Dic11⋊C4—22no—
590Dic11⋊C4—22no—
591Dic11⋊C4—22no—
592Dic11⋊C4—22no—
593Dic11⋊C4—22no—
594Dic11⋊C4—22no—
595Dic11⋊C4—22no—
596Dic11⋊C4—22no—
597Dic11⋊C4—22no—
598Dic11⋊C4—22no—
599Dic11⋊C4—22no—
600Dic11⋊C4—41no—
601Dic11⋊C4—41no—
602Dic11⋊C4—41no—
603Dic11⋊C4—41no—
604Dic11⋊C4—41no—
605Dic11⋊C4C2×D414yes—
606C4×Dic11—22no—
607C4×Dic11—22no—
608C4×Dic11—22no—
609C4×Dic11—22no—
610C4×Dic11—22no—
611C4×Dic11—22no—
612C4×Dic11C2×D414yes—
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#2290—111no—
642#2280—111no—
643C2×C4×C22⋊C4D1111yescharacteristic, complemented
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—28no—
653C23×C11—28no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—44no—
661C23×C11—44no—
662C23×C11—44no—
663C23×C11—44no—
664C23×C11—44no—
665C23×C11C22×D412yes—
666C23×C11C2×#4112yes—
667C23×C11C2×#4112yes—
668C23×C11C2×#4112yes—
669C23×C11C2×#4112yes—
670C23×C11C2×#4112yes—
671C23×C11C2×#4112yes—
672C23×C11C2511yescharacteristic
673C22×D11—28no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—44no—
694C22×D11—44no—
695C22×D11—44no—
696C22×D11—44no—
697C22×D11—44no—
698C22×D11—44no—
699C22×D11C22×D412yes—
700C22×D11C2×#4112yes—
701C2×C4×C11—21no—
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—28no—
710C2×C4×C11—28no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
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—44no—
733C2×C4×C11—44no—
734C2×C4×C11—44no—
735C2×C4×C11—44no—
736C2×C4×C11—44no—
737C2×C4×C11—44no—
738C2×C4×C11—44no—
739C2×C4×C11—44no—
740C2×C4×C11C22×D412yes—
741C2×C4×C11C22×D412yes—
742C2×C4×C11C2×#4112yes—
743C2×C4×C11C2×#4112yes—
744C2×C4×C11C2×#4112yes—
745C2×C4×C11C2×#4112yes—
746C2×C4×C11H(5,𝔽2)12yes—
747C22⋊D11—28no—
748C22⋊D11—28no—
749C22⋊D11—28no—
750C22⋊D11—28no—
751C22⋊D11—44no—
752C22⋊D11—44no—
753C22⋊D11—44no—
754C2×Dic11—28no—
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—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—44no—
791C2×Dic11—44no—
792C2×Dic11C22×D412yes—
793C2×Dic11C22×D412yes—
794C2×Dic11C22×D412yes—
795C2×Dic11C2×#4112yes—
796D44—44no—
797D44—44no—
798C4×D11—28no—
799C4×D11—44no—
800C4×D11—44no—
801C4×D11—44no—
802C4×D11—44no—
803Dic22—44no—
804C23×D4—111no—
805C24×C4—111no—
806C24×C4C2×D1111yescharacteristic
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—111no—
835C2×C4×D4—228no—
836C2×#117—111no—
837C2×#117—111no—
838C2×#117—111no—
839C22×C4⋊C4—111no—
840C22×C22⋊C4—111no—
841C22×C22⋊C4—111no—
842C22×C22⋊C4C2×D1111yescharacteristic
843C22×C22⋊C4C2×D1111yescharacteristic
844C22×C42—111no—
845C22×C42C2×D1111yescharacteristic, complemented
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#388—111no—
890#388—111no—
891#387—111no—
892#387—111no—
893#387—111no—
894#387—111no—
895#387—111no—
896#387—111no—
897#387—111no—
898#387—111no—
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#386—111no—
911#386—111no—
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#385—111no—
924#385—111no—
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⋊C4—111no—
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⋊C4C2×D1111yescharacteristic
951C4×C22⋊C4C2×D1111yescharacteristic
952C4×C22⋊C4C2×D1111yescharacteristic
953C4×C22⋊C4C2×D1111yescharacteristic
954C4×C22⋊C4C2×D1111yescharacteristic, complemented
955C4×C22⋊C4C2×D1111yescharacteristic, complemented
956C4×C22⋊C4C2×D1111yescharacteristic, complemented
957C4×C22⋊C4C2×D1111yescharacteristic, complemented
958#376—111no—
959C2×#95C2×D1111yescharacteristic, complemented
960C2×#95C2×D1111yescharacteristic, complemented
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—22no—
971C22×C11—22no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—22no—
976C22×C11—416no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11#52514yes—
982C22×C11#52914yescomplemented
983C22×C11C23×D411yescharacteristic
984C22×C11C22×#4111yescharacteristic
985C22×C11C22×#4111yescharacteristic
986C22×C11C22×#4111yescharacteristic
987C22×C11C22×#4111yescharacteristic
988C22×C11C2×H(5,𝔽2)11yescharacteristic
989C22×C11#58511yescharacteristic
990C2×D11—22no—
991C2×D11—22no—
992C2×D11—22no—
993C2×D11—22no—
994C2×D11—22no—
995C2×D11—22no—
996C2×D11—416no—
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—41no—
1012C4×C11—22no—
1013C4×C11—22no—
1014C4×C11—22no—
1015C4×C11—22no—
1016C4×C11—41no—
1017C4×C11—41no—
1018C4×C11—41no—
1019C4×C11—41no—
1020C4×C11—41no—
1021C4×C11—41no—
1022C4×C11—41no—
1023C4×C11#54614yes—
1024Dic11—22no—
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—
1038C25C22×D1111yescharacteristic
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—111no—
1049C22×D4—224no—
1050C22×D4—224no—
1051C22×D4—224no—
1052C23×C4—24no—
1053C23×C4—24no—
1054C23×C4—42no—
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—224no—
1064C23×C4—224no—
1065C23×C4—442no—
1066C23×C4C22×D1111yescharacteristic
1067C23×C4C22×D1111yescharacteristic
1068C23×C4C22×D1111yescharacteristic
1069C23×C4C22×D1111yescharacteristic
1070C23×C4C22×D1111yescharacteristic
1071C23×C4C22×D1111yescharacteristic
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—118no—
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—224no—
1101C4×D4—442no—
1102C4×D4—442no—
1103#117—224no—
1104#117—224no—
1105#117—442no—
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—111no—
1128C2×C4⋊C4—111no—
1129C2×C4⋊C4—111no—
1130C2×C4⋊C4—111no—
1131C2×C4⋊C4—111no—
1132C2×C4⋊C4—224no—
1133C2×C22⋊C4—24no—
1134C2×C22⋊C4—24no—
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—111no—
1174C2×C22⋊C4—111no—
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—24no—
1186C2×C42—42no—
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×C42C22×D1111yescharacteristic
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#95—111no—
1230#95—111no—
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—24no—
1241C2×C11—42no—
1242C2×C11C2×#52511yescharacteristic
1243C2×C11C2×#52911yescharacteristic
1244C2×C11#345911yescharacteristic
1245C2×C11C2×#54611yescharacteristic
1246C2×C11D4×#4111yescharacteristic
1247C2×C11#347511yescharacteristic
1248C2×C11#348111yescharacteristic
1249D11—42no—
1250D11—42no—
1251D11—81no—
1252C24—22no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—41no—
1257C24—41no—
1258C24—111no—
1259C24—111no—
1260C24—111no—
1261C24—222no—
1262C24—222no—
1263C24—222no—
1264C24—222no—
1265C24—222no—
1266C24—441no—
1267C24—441no—
1268C24#433914yes—
1269C24C23×D1111yescharacteristic
1270C24C23×D1111yescharacteristic
1271C24C23×D1111yescharacteristic
1272C2×Q8—222no—
1273C2×Q8—222no—
1274C2×Q8—441no—
1275C2×D4—114no—
1276C2×D4—114no—
1277C2×D4—222no—
1278C2×D4—222no—
1279C2×D4—222no—
1280C2×D4—222no—
1281C2×D4—222no—
1282C2×D4—222no—
1283C2×D4—2232no—
1284C2×D4—222no—
1285C2×D4—222no—
1286C2×D4—222no—
1287C2×D4—222no—
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—222no—
1299C2×D4—441no—
1300C2×D4—441no—
1301C2×D4—441no—
1302C2×D4—441no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—416no—
1332C22×C4—111no—
1333C22×C4—111no—
1334C22×C4—111no—
1335C22×C4—111no—
1336C22×C4—114no—
1337C22×C4—111no—
1338C22×C4—111no—
1339C22×C4—111no—
1340C22×C4—111no—
1341C22×C4—111no—
1342C22×C4—111no—
1343C22×C4—111no—
1344C22×C4—111no—
1345C22×C4—111no—
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—222no—
1360C22×C4—222no—
1361C22×C4—222no—
1362C22×C4—222no—
1363C22×C4—222no—
1364C22×C4—222no—
1365C22×C4—441no—
1366C22×C4—441no—
1367C22×C4—4416no—
1368C22×C4—441no—
1369C22×C4—441no—
1370C22×C4#433914yes—
1371C22×C4D4×D1114yes—
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—114no—
1385C4⋊C4—222no—
1386C4⋊C4—222no—
1387C4⋊C4—222no—
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—441no—
1405C4⋊C4—441no—
1406C4⋊C4—441no—
1407C4⋊C4—441no—
1408C4⋊C4—441no—
1409C4⋊C4—441no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—114no—
1418C22⋊C4—114no—
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—441no—
1447C22⋊C4—441no—
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⋊C4—441no—
1457C22⋊C4#433914yes—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—41no—
1465C42—41no—
1466C42—114no—
1467C42—222no—
1468C42—222no—
1469C42—222no—
1470C42—222no—
1471C42—222no—
1472C42—222no—
1473C11#3467011yescharacteristic, complemented, Sylow
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—44no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—112no—
1496C23—112no—
1497C23—228no—
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—221no—
1516C23—221no—
1517C23—444no—
1518C23—444no—
1519C23—444no—
1520C23—444no—
1521C23—444no—
1522C23—444no—
1523C23C2×#433912yes—
1524C23C2×#433912yes—
1525C23C2×#433912yes—
1526C23C2×#433912yes—
1527C23C2×#433912yes—
1528C23C2×D4×D1112yes—
1529C23#41×D1112yes—
1530C23C24×D1111yescharacteristic
1531Q8—444no—
1532D4—228no—
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—28no—
1550C2×C4—28no—
1551C2×C4—21no—
1552C2×C4—21no—
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—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—112no—
1581C2×C4—112no—
1582C2×C4—112no—
1583C2×C4—112no—
1584C2×C4—228no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—228no—
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—221no—
1615C2×C4—221no—
1616C2×C4—221no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—444no—
1622C2×C4—444no—
1623C2×C4—444no—
1624C2×C4—444no—
1625C2×C4—444no—
1626C2×C4—444no—
1627C2×C4C2×#433912yes—
1628C2×C4C2×#433912yes—
1629C2×C4C2×#433912yes—
1630C2×C4C2×#433912yes—
1631C2×C4C2×D4×D1112yes—
1632C2×C4C2×D4×D1112yes—
1633C2×C4#6703712yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—416no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—222no—
1655C22—222no—
1656C22—222no—
1657C22—222no—
1658C22—222no—
1659C22—222no—
1660C22—4416no—
1661C22—441no—
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#1062301014yescomplemented
1677C22#1062307814yes—
1678C22C22×#433911yescharacteristic
1679C22C22×#433911yescharacteristic
1680C22C22×#433911yescharacteristic
1681C22C22×D4×D1111yescharacteristic
1682C22C2×#6703711yescharacteristic
1683C22C2×#41×D1111yescharacteristic
1684C22#1062345311yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—222no—
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#1062302114yes—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—442no—
1714C2—442no—
1715C2—881no—
1716C2C2×#1062307811yescharacteristic
1717C2C2×#1062301011yescharacteristic
1718C2#1308202511yescharacteristic
1719C2C2×#1062302111yescharacteristic
1720C2D4×#433911yescharacteristic
1721C2#1308217011yescharacteristic
1722C2#1308222011yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C4×C11×C22⋊C4C2
prime radical#13071984C2
hypercenterC2×C4×C22⋊C4D11
hypocenterC11#34670
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#10623010C2semidirect
2. C22×C4×C22⋊D11C2semidirect
3. #13072877C2semidirect
4. #13072862C2semidirect
5. #13072757C2semidirect
6. #13072742C2semidirect
7. #13072667C2semidirect
8. #13072652C2semidirect
9. #13072568C2semidirect
10. #13072553C2semidirect
11. #13072440C2semidirect
12. #13072366C2semidirect
13. #13072277C2semidirect
14. #13072167C2semidirect
15. #13072093C2semidirect
16. #13072012C2semidirect
18. #13071943C2semidirect
19. #13071903C2semidirect
20. #13071877C2semidirect
21. #13071860C2semidirect
22. #13071860C2semidirect
23. C4×#66931C2semidirect
24. C4×#66982C2semidirect
25. C4×#66983C2semidirect
26. C4×#66935C2semidirect
27. C4×#67006C2semidirect
28. #13071059C2semidirect
29. #13071055C2semidirect
30. #13070997C2semidirect
31. C2×C4×C11×C22⋊C4C2semidirect
37. C22×C42×C11C22semidirect
38. C22×C42×C11C22semidirect
45. C2×#66982C22semidirect
56. C2×C4×C22⋊D11C22semidirect
57. C2×C4×C22⋊D11C22semidirect
59. C2×#66977C22semidirect
65. C2×#66929C22semidirect
66. C2×#66929C22semidirect
67. C2×#66928C22semidirect
68. C2×C4×D44C22semidirect
69. C2×C4×D44C22semidirect
70. C2×#66925C22semidirect
71. C2×#66925C22semidirect
72. C2×#66925C22semidirect
73. C2×#66923C22semidirect
74. C2×C4×Dic22C22semidirect
79. C4×C11×C22⋊C4C22semidirect
80. C4×C11×C22⋊C4C22semidirect
81. C4×C11×C22⋊C4C22semidirect
82. C4×C11×C22⋊C4C22semidirect
83. C2×C11×#95C22semidirect
84. C2×C11×#95C22semidirect
91. #10622826C22semidirect
92. #10622826C22semidirect
93. #10622826C22semidirect
94. #10622825C22semidirect
95. #10622824C22semidirect
97. #10622823C22semidirect
98. #10622823C22semidirect
99. #10622823C22semidirect
100. #10622823C22semidirect
101. #10622823C22semidirect
103. C4×C22⋊Dic11C22semidirect
104. C4×C22⋊Dic11C22semidirect
113. #10622572C22semidirect
114. #10622572C22semidirect
121. #10622565C22semidirect
122. #10622565C22semidirect
125. #10622562C22semidirect
126. #10622561C22semidirect
127. #10622561C22semidirect
128. #10622560C22semidirect
135. #10622553C22semidirect
136. #10622553C22semidirect
137. #10622553C22semidirect
138. #10622553C22semidirect
139. #10622553C22semidirect
140. #10622553C22semidirect
141. #10622552C22semidirect
142. C4×(C2×D11)⋊C4C22semidirect
143. C4×(C2×D11)⋊C4C22semidirect
144. C4×(C2×D11)⋊C4C22semidirect
145. C4×(C2×D11)⋊C4C22semidirect
146. C4×(C2×D11)⋊C4C22semidirect
147. C4×C4⋊Dic11C22semidirect
148. #10622546C22semidirect
149. #10622546C22semidirect
150. #10622546C22semidirect
151. #10622546C22semidirect
152. #10622545C22semidirect
153. C4×Dic11⋊C4C22semidirect
154. C4×Dic11⋊C4C22semidirect
155. C4×Dic11⋊C4C22semidirect
156. #10622541C22semidirect
157. #10622289C22semidirect
158. #10622289C22semidirect
159. #10622288C22semidirect
160. #10622288C22semidirect
161. #10622288C22semidirect
162. #10622288C22semidirect
163. #10622287C22semidirect
164. #10622286C22semidirect
165. #10622285C22semidirect
166. #10622285C22semidirect
167. #10622282C22semidirect
168. #10622282C22semidirect
169. #10622281C22semidirect
170. #10622281C22semidirect
171. #10622280C22semidirect
172. #10622280C22semidirect
173. #10622278C22semidirect
174. #10622278C22semidirect
175. #10622277C22semidirect
176. #10622277C22semidirect
177. #10622273C22semidirect
178. #10622271C22semidirect
179. #10622271C22semidirect
180. #10622270C22semidirect
181. #10622270C22semidirect
182. #10622270C22semidirect
183. #10622268C22semidirect
184. #10622267C22semidirect
185. #10622265C22semidirect
186. #10622265C22semidirect
187. #10622260C22semidirect
188. #10622259C22semidirect
278. C4×C22⋊D11D4semidirect
643. C2×C4×C22⋊C4D11semidirect
845. C22×C42C2×D11semidirect
846. C22×C42C2×D11semidirect
954. C4×C22⋊C4C2×D11semidirect
955. C4×C22⋊C4C2×D11semidirect
956. C4×C22⋊C4C2×D11semidirect
957. C4×C22⋊C4C2×D11semidirect
959. C2×#95C2×D11semidirect
960. C2×#95C2×D11semidirect
982. C22×C11#529semidirect
1473. C11#34670semidirect
1676. C22#10623010semidirect

Maximal subgroups

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

subgroupindex
C2×#106230102
C22×C4×C22⋊D112
#130728772
#130728622
#130727572
#130727422
#130726672
#130726522
#130725682
#130725532
#130724402
#130723662
#130722772
#130721672
#130720932
#130720122
#130719842
#130719432
#130719032
#130718772
#130718602
C4×#669312
C4×#669822
C4×#669832
C4×#669352
C4×#670062
#130710592
#130710552
#130709972
C2×C4×C11×C22⋊C42
#3467011