Finite Group Databasebeta

← D11×#2466 #14921439

Subgroups — D11×#2466 #14921439

Order 2816.

3006 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#126C211yesmaximal, characteristic, complemented
2C2×C4×D4×D11C211yesmaximal, characteristic
3#13072659C211yesmaximal, characteristic, complemented
4#13072658C211yesmaximal, characteristic, complemented
5#13072657C211yesmaximal, characteristic, complemented
6#13072656C211yesmaximal, characteristic, complemented
7#13072655C211yesmaximal, characteristic, complemented
8#13072654C211yesmaximal, characteristic, complemented
9#13072653C211yesmaximal, characteristic, complemented
10#13072652C211yesmaximal, characteristic, complemented
11#13072651C211yesmaximal, characteristic, complemented
12#13072650C211yesmaximal, characteristic, complemented
13#13072649C211yesmaximal, characteristic, complemented
14#13072648C211yesmaximal, characteristic, complemented
15#13072647C211yesmaximal, characteristic, complemented
16#13072646C211yesmaximal, characteristic, complemented
17#13072645C211yesmaximal, characteristic, complemented
18D11×#397C211yesmaximal, characteristic, complemented
19D11×#396C211yesmaximal, characteristic, complemented
20D11×#394C211yesmaximal, characteristic
21D11×#394C211yesmaximal, characteristic
22D11×#389C211yesmaximal, characteristic, complemented
23D11×#389C211yesmaximal, characteristic, complemented
24D11×#388C211yesmaximal, characteristic, complemented
25D11×#387C211yesmaximal, characteristic, complemented
26D11×#387C211yesmaximal, characteristic, complemented
27D11×#385C211yesmaximal, characteristic, complemented
28D11×#385C211yesmaximal, characteristic, complemented
29D11×#381C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2466C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×#126C2211yescharacteristic, complemented
36C2×C4×D4×C11C2211yescharacteristic
37C2×D4×Dic11C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40D11×#126—28no—
41C4×D4×D11—28no—
42C2×#66951C2211yescharacteristic, complemented
43C2×#66951C2211yescharacteristic, complemented
44C2×#66951C2211yescharacteristic, complemented
45C2×#66946C2211yescharacteristic
46C2×C4⋊C4×D11C2211yescharacteristic
47C2×C4⋊C4×D11C2211yescharacteristic
48C2×C4⋊C4×D11C2211yescharacteristic
49C2×C4⋊C4×D11C2211yescharacteristic
50C2×C4⋊C4×D11C2211yescharacteristic
51C2×C4⋊C4×D11C2211yescharacteristic
52C2×C4⋊C4×D11C2211yescharacteristic
53C2×C4⋊C4×D11C2211yescharacteristic
54C2×C4⋊C4×D11C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×C22⋊C4×D11C2211yescharacteristic
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×C22⋊C4×D11C2211yescharacteristic
61C2×C22⋊C4×D11C2211yescharacteristic
62C2×C22⋊C4×D11C2211yescharacteristic
63C2×C22⋊C4×D11C2211yescharacteristic
64C2×C22⋊C4×D11C2211yescharacteristic
65C2×C22⋊C4×D11C2211yescharacteristic
66C2×C22⋊C4×D11C2211yescharacteristic
67C2×#66932C2211yescharacteristic, complemented
68C2×#66932C2211yescharacteristic, complemented
69C2×#66932C2211yescharacteristic, complemented
70C2×#66929C2211yescharacteristic, complemented
71C2×C4×D44C2211yescharacteristic
72C2×C42×D11C2211yescharacteristic
73C2×C42×D11C2211yescharacteristic
74C2×C42×D11C2211yescharacteristic
75C11×#397C2211yescharacteristic, complemented
76C11×#396C2211yescharacteristic, complemented
77C11×#394C2211yescharacteristic
78C11×#394C2211yescharacteristic
79C11×#389C2211yescharacteristic, complemented
80C11×#389C2211yescharacteristic, complemented
81C11×#388C2211yescharacteristic, complemented
82C11×#387C2211yescharacteristic, complemented
83C11×#387C2211yescharacteristic, complemented
84C11×#385C2211yescharacteristic, complemented
85C11×#385C2211yescharacteristic, complemented
86C11×#381C2211yescharacteristic, complemented
87C4×C11×C22⋊C4C2211yescharacteristic, complemented
88#10622835C2211yescharacteristic
89#10622835C2211yescharacteristic
90#10622824C2211yescharacteristic, complemented
91#10622823C2211yescharacteristic, complemented
92#10622823C2211yescharacteristic, complemented
93C4×C22⋊Dic11C2211yescharacteristic, complemented
94#10622607C2211yescharacteristic, complemented
95#10622607C2211yescharacteristic, complemented
96#10622607C2211yescharacteristic, complemented
97#10622606C2211yescharacteristic, complemented
98#10622604C2211yescharacteristic
99#10622604C2211yescharacteristic
100#10622603C2211yescharacteristic, complemented
101#10622602C2211yescharacteristic, complemented
102#10622602C2211yescharacteristic, complemented
103#10622602C2211yescharacteristic, complemented
104#10622602C2211yescharacteristic, complemented
105#10622598C2211yescharacteristic, complemented
106#10622598C2211yescharacteristic, complemented
107#10622594C2211yescharacteristic, complemented
108#10622594C2211yescharacteristic, complemented
109#10622591C2211yescharacteristic, complemented
110#10622591C2211yescharacteristic, complemented
111#10622586C2211yescharacteristic, complemented
112#10622586C2211yescharacteristic, complemented
113#10622585C2211yescharacteristic, complemented
114#10622585C2211yescharacteristic, complemented
115#10622585C2211yescharacteristic, complemented
116#10622585C2211yescharacteristic, complemented
117#10622574C2211yescharacteristic
118#10622574C2211yescharacteristic
119#10622574C2211yescharacteristic
120#10622574C2211yescharacteristic
121#10622572C2211yescharacteristic
122#10622572C2211yescharacteristic
123#10622572C2211yescharacteristic
124#10622572C2211yescharacteristic
125#10622566C2211yescharacteristic, complemented
126#10622565C2211yescharacteristic, complemented
127#10622565C2211yescharacteristic, complemented
128#10622564C2211yescharacteristic, complemented
129#10622563C2211yescharacteristic, complemented
130#10622563C2211yescharacteristic, complemented
131#10622561C2211yescharacteristic, complemented
132#10622561C2211yescharacteristic, complemented
133#10622561C2211yescharacteristic, complemented
134#10622559C2211yescharacteristic, complemented
135#10622559C2211yescharacteristic, complemented
136#10622558C2211yescharacteristic, complemented
137#10622557C2211yescharacteristic, complemented
138#10622556C2211yescharacteristic, complemented
139#10622556C2211yescharacteristic, complemented
140C22⋊C4×Dic11C2211yescharacteristic, complemented
141C22⋊C4×Dic11C2211yescharacteristic, complemented
142#10622553C2211yescharacteristic, complemented
143C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
144C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
145#10622546C2211yescharacteristic, complemented
146#10622546C2211yescharacteristic, complemented
147#10622541C2211yescharacteristic, complemented
148#10622541C2211yescharacteristic, complemented
149#10622289C2211yescharacteristic, complemented
150#10622288C2211yescharacteristic, complemented
151#10622288C2211yescharacteristic, complemented
152#10622287C2211yescharacteristic, complemented
153#10622285C2211yescharacteristic
154#10622285C2211yescharacteristic
155#10622283C2211yescharacteristic, complemented
156#10622282C2211yescharacteristic, complemented
157#10622281C2211yescharacteristic, complemented
158#10622281C2211yescharacteristic, complemented
159#10622281C2211yescharacteristic, complemented
160#10622281C2211yescharacteristic, complemented
161#10622279C2211yescharacteristic, complemented
162#10622279C2211yescharacteristic, complemented
163#10622277C2211yescharacteristic, complemented
164#10622277C2211yescharacteristic, complemented
165#10622277C2211yescharacteristic, complemented
166#10622277C2211yescharacteristic, complemented
167D11×#95C2211yescharacteristic
168D11×#95C2211yescharacteristic
169D11×#95C2211yescharacteristic
170D11×#95C2211yescharacteristic
171D11×#95C2211yescharacteristic
172D11×#95C2211yescharacteristic
173D11×#95C2211yescharacteristic
174D11×#95C2211yescharacteristic
175D11×#95C2211yescharacteristic
176D11×#95C2211yescharacteristic
177#10622268C2211yescharacteristic, complemented
178#10622268C2211yescharacteristic, complemented
179#10622267C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C2×D4×D11—24no—
199C2×D4×D11—24no—
200C2×D4×D11—24no—
201C22×D44C2311yescharacteristic
202C22×C4×D11—24no—
203C22×C4×D11—24no—
204C22×C4×D11—24no—
205C22×C4×D11—24no—
206C22×C4×D11—42no—
207C22×C4×D11—42no—
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C11×#126—24no—
226C4×D4×C11—24no—
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C42×C11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
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
259D4×Dic11—24no—
260C4×C22⋊D11—24no—
261C4×C22⋊D11—24no—
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318#66951—24no—
319#66951—24no—
320#66951—24no—
321#66946—24no—
322C4⋊C4×D11—24no—
323C4⋊C4×D11—24no—
324C4⋊C4×D11—24no—
325C4⋊C4×D11—24no—
326C4⋊C4×D11—24no—
327C4⋊C4×D11—24no—
328C4⋊C4×D11—24no—
329C4⋊C4×D11—24no—
330C4⋊C4×D11—42no—
331(C22⋊D11)⋊C4—24no—
332(C22⋊D11)⋊C4—24no—
333C22⋊C4×D11—24no—
334C22⋊C4×D11—24no—
335C22⋊C4×D11—24no—
336C22⋊C4×D11—24no—
337C22⋊C4×D11—24no—
338C22⋊C4×D11—24no—
339C22⋊C4×D11—24no—
340C22⋊C4×D11—42no—
341C22⋊C4×D11—42no—
342C22⋊C4×D11D418yes—
343#66932—24no—
344#66932—24no—
345#66932—24no—
346#66929—24no—
347C4×D44—24no—
348C42×D11—24no—
349C42×D11—24no—
350C42×D11—42no—
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
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
391C2×#2466—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—22no—
404C23×D11—22no—
405C23×D11—22no—
406C23×D11C2×D414yes—
407C23×D11#4114yes—
408C23×D11C2411yescharacteristic
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C22×Dic11—22no—
440C22×Dic11—22no—
441C22×Dic11—22no—
442C22×Dic11—22no—
443C22×Dic11—41no—
444C22×Dic11—41no—
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458D4×D11—232no—
459C2×D44—22no—
460C2×D44—22no—
461C2×D44—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—22no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—22no—
481C2×C4×D11—22no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—22no—
485C2×C4×D11—22no—
486C2×C4×D11—22no—
487C2×C4×D11—22no—
488C2×C4×D11—22no—
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—41no—
505C2×C4×D11—41no—
506C2×C4×D11—41no—
507C2×C4×D11—41no—
508C2×C4×D11—416no—
509C2×C4×D11—416no—
510C2×C4×D11C2×D414yes—
511C2×C4×D11C2×D414yes—
512C2×C4×D11#4114yes—
513C2×C4×D11#4114yes—
514C2×C4×D11#4114yes—
515C11×C4⋊C4—22no—
516C11×C4⋊C4—22no—
517C11×C4⋊C4—22no—
518C11×C4⋊C4—22no—
519C11×C4⋊C4—22no—
520C11×C4⋊C4—22no—
521C11×C4⋊C4—22no—
522C11×C4⋊C4—22no—
523C11×C4⋊C4—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—41no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4C2×D414yes—
534C42×C11—22no—
535C42×C11—22no—
536C42×C11—41no—
537C22⋊Dic11—22no—
538C22⋊Dic11—22no—
539C22⋊Dic11—22no—
540C22⋊Dic11—22no—
541C22⋊Dic11—22no—
542C22⋊Dic11—22no—
543C22⋊Dic11—22no—
544C22⋊Dic11—41no—
545C22⋊Dic11—41no—
546C22⋊Dic11C2×D414yes—
547(C2×D11)⋊C4—22no—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—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—41no—
562(C2×D11)⋊C4—41no—
563(C2×D11)⋊C4—41no—
564(C2×D11)⋊C4—41no—
565(C2×D11)⋊C4C2×D414yes—
566(C2×D11)⋊C4C2×D414yes—
567C4⋊Dic11—22no—
568C4⋊Dic11—22no—
569C4⋊Dic11—22no—
570C4⋊Dic11—22no—
571C4⋊Dic11—22no—
572C4⋊Dic11—22no—
573C4⋊Dic11—22no—
574C4⋊Dic11—22no—
575C4⋊Dic11—41no—
576Dic11⋊C4—22no—
577Dic11⋊C4—22no—
578Dic11⋊C4—22no—
579Dic11⋊C4—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—22no—
582Dic11⋊C4—22no—
583Dic11⋊C4—22no—
584Dic11⋊C4—22no—
585Dic11⋊C4—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—22no—
588Dic11⋊C4—22no—
589Dic11⋊C4—22no—
590Dic11⋊C4—22no—
591Dic11⋊C4—22no—
592Dic11⋊C4—41no—
593Dic11⋊C4—41no—
594C4×Dic11—22no—
595C4×Dic11—22no—
596C4×Dic11—22no—
597C4×Dic11—22no—
598C4×Dic11—22no—
599C4×Dic11—22no—
600C4×Dic11—41no—
601C4×Dic11—41no—
602C4×Dic11—41no—
603C22×#126—111no—
604C22×C4×D4—111no—
605#2466—111no—
606#2466—111no—
607#2466—111no—
608#2466—111no—
609#2466—111no—
610#2466—111no—
611#2466—111no—
612#2466—111no—
613#2466—111no—
614#2466—111no—
615#2466—111no—
616#2466—111no—
617#2466—111no—
618#2466—111no—
619#2466—111no—
620#2466D1111yescharacteristic, direct product factor
621C2×#397—111no—
622C2×#396—111no—
623C2×#394—111no—
624C2×#394—111no—
625C2×#389—111no—
626C2×#389—111no—
627C2×#388—111no—
628C2×#387—111no—
629C2×#387—111no—
630C2×#385—111no—
631C2×#385—111no—
632C2×#381—111no—
633C2×C4×C22⋊C4—111no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11C22×D412yes—
647C23×C11C2×#4112yes—
648C23×C11C2511yescharacteristic
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—28no—
662C22×D11—28no—
663C22×D11—28no—
664C22×D11—28no—
665C22×D11—28no—
666C22×D11—28no—
667C22×D11—44no—
668C22×D11—44no—
669C22×D11—44no—
670C22×D11—44no—
671C22×D11—44no—
672C22×D11—44no—
673C22×D11—44no—
674C22×D11—44no—
675C22×D11C22×D412yes—
676C22×D11C22×D412yes—
677C22×D11C2×#4112yes—
678C22×D11C2×#4112yes—
679C22×D11C2×#4112yes—
680C22×D11C2×#4112yes—
681C22×D11C2×#4112yes—
682C22×D11H(5,𝔽2)12yes—
683C22×D112−1+412yes—
684D4×C11—28no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
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—21no—
710C2×C4×C11—21no—
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—44no—
720C2×C4×C11—44no—
721C2×C4×C11C22×D412yes—
722C2×C4×C11C22×D412yes—
723C2×C4×C11C2×#4112yes—
724C2×C4×C11C2×#4112yes—
725C2×C4×C11C2×#4112yes—
726C22⋊D11—28no—
727C22⋊D11—28no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
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—44no—
763C2×Dic11—44no—
764C2×Dic11C22×D412yes—
765C2×Dic11C22×D412yes—
766C2×Dic11C2×#4112yes—
767C2×Dic11C2×#4112yes—
768C2×Dic11C2×#4112yes—
769D44—28no—
770C4×D11—28no—
771C4×D11—28no—
772C4×D11—28no—
773C4×D11—28no—
774C4×D11—28no—
775C4×D11—44no—
776C4×D11—44no—
777C4×D11—44no—
778C4×D11—44no—
779C4×D11—44no—
780C4×D11—44no—
781C4×D11—44no—
782C4×D11—44no—
783C4×D11—44no—
784C4×D11—44no—
785C4×D11—44no—
786C4×D11—44no—
787C23×D4—111no—
788C24×C4—111no—
789C24×C4—111no—
790C2×#126—111no—
791C2×#126—111no—
792C2×#126—111no—
793C2×#126—111no—
794C2×#126—111no—
795C2×#126—111no—
796C2×#126—111no—
797C2×#126—228no—
798C2×#126C2×D1111yescharacteristic, complemented
799C2×C4×D4—111no—
800C2×C4×D4—111no—
801C2×C4×D4—111no—
802C2×C4×D4—111no—
803C2×C4×D4—111no—
804C2×C4×D4—111no—
805C2×C4×D4—111no—
806C2×C4×D4—228no—
807C2×C4×D4C2×D1111yescharacteristic
808C22×C4⋊C4—111no—
809C22×C4⋊C4—111no—
810C22×C4⋊C4—111no—
811C22×C4⋊C4—111no—
812C22×C4⋊C4—111no—
813C22×C4⋊C4—111no—
814C22×C4⋊C4—111no—
815C22×C4⋊C4—111no—
816C22×C4⋊C4—111no—
817C22×C22⋊C4—111no—
818C22×C22⋊C4—111no—
819C22×C22⋊C4—111no—
820C22×C22⋊C4—111no—
821C22×C22⋊C4—111no—
822C22×C22⋊C4—111no—
823C22×C22⋊C4—111no—
824C22×C22⋊C4—111no—
825C22×C22⋊C4—111no—
826C22×C22⋊C4—111no—
827C22×C42—111no—
828C22×C42—111no—
829C22×C42—111no—
830#397—111no—
831#397—111no—
832#397—111no—
833#397—111no—
834#397—111no—
835#397—111no—
836#397—111no—
837#397C2×D1111yescharacteristic, complemented
838#396—111no—
839#396—111no—
840#396—111no—
841#396—111no—
842#396—111no—
843#396—111no—
844#396—111no—
845#396C2×D1111yescharacteristic, complemented
846#394—111no—
847#394—111no—
848#394—111no—
849#394—111no—
850#394—111no—
851#394—111no—
852#394—111no—
853#394—111no—
854#394—111no—
855#394—111no—
856#394—111no—
857#394—111no—
858#394—111no—
859#394—111no—
860#394C2×D1111yescharacteristic
861#394C2×D1111yescharacteristic
862#389—111no—
863#389—111no—
864#389—111no—
865#389—111no—
866#389—111no—
867#389—111no—
868#389—111no—
869#389—111no—
870#389—111no—
871#389—111no—
872#389—111no—
873#389—111no—
874#389—111no—
875#389—111no—
876#389C2×D1111yescharacteristic, complemented
877#389C2×D1111yescharacteristic, complemented
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388—111no—
885#388C2×D1111yescharacteristic, complemented
886#387—111no—
887#387—111no—
888#387—111no—
889#387—111no—
890#387—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#387—111no—
900#387C2×D1111yescharacteristic, complemented
901#387C2×D1111yescharacteristic, complemented
902#385—111no—
903#385—111no—
904#385—111no—
905#385—111no—
906#385—111no—
907#385—111no—
908#385—111no—
909#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#385—111no—
915#385—111no—
916#385C2×D1111yescharacteristic, complemented
917#385C2×D1111yescharacteristic, complemented
918#381—111no—
919#381—111no—
920#381—111no—
921#381—111no—
922#381—111no—
923#381—111no—
924#381—111no—
925#381C2×D1111yescharacteristic, complemented
926C4×C22⋊C4—111no—
927C4×C22⋊C4—111no—
928C4×C22⋊C4—111no—
929C4×C22⋊C4—111no—
930C4×C22⋊C4—111no—
931C4×C22⋊C4—111no—
932C4×C22⋊C4—111no—
933C4×C22⋊C4C2×D1111yescharacteristic, complemented
934C2×#95—111no—
935C2×#95—111no—
936C2×#95—111no—
937C2×#95—111no—
938C2×#95—111no—
939C2×#95—111no—
940C2×#95—111no—
941C2×#95—111no—
942C2×#95—111no—
943C2×#95—111no—
944C22×C11—22no—
945C22×C11—22no—
946C22×C11—22no—
947C22×C11—22no—
948C22×C11—22no—
949C22×C11—22no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—41no—
954C22×C11—41no—
955C22×C11—41no—
956C22×C11—41no—
957C22×C11—41no—
958C22×C11C23×D411yescharacteristic
959C22×C11C22×#4111yescharacteristic
960C22×C11C22×#4111yescharacteristic
961C22×C11C22×#4111yescharacteristic
962C22×C11C22×#4111yescharacteristic
963C22×C11C2×H(5,𝔽2)11yescharacteristic
964C22×C11C2×2−1+411yescharacteristic
965C2×D11—22no—
966C2×D11—22no—
967C2×D11—22no—
968C2×D11—22no—
969C2×D11—22no—
970C2×D11—22no—
971C2×D11—41no—
972C2×D11—41no—
973C2×D11—41no—
974C2×D11—41no—
975C2×D11—41no—
976C2×D11—41no—
977C2×D11—41no—
978C2×D11—41no—
979C2×D11—416no—
980C2×D11—416no—
981C2×D11#52514yes—
982C2×D11#52914yes—
983C2×D11#53914yes—
984C2×D11#54614yes—
985C2×D11#54714yes—
986C2×D11#55314yes—
987C2×D11#55614yes—
988C4×C11—22no—
989C4×C11—22no—
990C4×C11—22no—
991C4×C11—22no—
992C4×C11—22no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996C4×C11—41no—
997C4×C11—41no—
998C4×C11—41no—
999C4×C11—41no—
1000C4×C11—41no—
1001Dic11—22no—
1002Dic11—22no—
1003Dic11—22no—
1004Dic11—22no—
1005Dic11—22no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009Dic11—41no—
1010Dic11—41no—
1011Dic11—41no—
1012Dic11—41no—
1013Dic11—41no—
1014C25—111no—
1015C25—111no—
1016C22×D4—111no—
1017C22×D4—111no—
1018C22×D4—111no—
1019C22×D4—224no—
1020C22×D4—224no—
1021C22×D4—224no—
1022C22×D4C22×D1111yescharacteristic
1023C23×C4—111no—
1024C23×C4—111no—
1025C23×C4—111no—
1026C23×C4—111no—
1027C23×C4—111no—
1028C23×C4—111no—
1029C23×C4—111no—
1030C23×C4—111no—
1031C23×C4—111no—
1032C23×C4—111no—
1033C23×C4—111no—
1034C23×C4—111no—
1035C23×C4—111no—
1036C23×C4—111no—
1037C23×C4—111no—
1038C23×C4—111no—
1039C23×C4—111no—
1040C23×C4—111no—
1041C23×C4—111no—
1042C23×C4—224no—
1043C23×C4—224no—
1044C23×C4—224no—
1045C23×C4—224no—
1046C23×C4—442no—
1047C23×C4—442no—
1048C23×C4C22×D1111yescharacteristic
1049C23×C4C22×D1111yescharacteristic
1050#126—24no—
1051#126—224no—
1052#126—224no—
1053#126—224no—
1054#126—224no—
1055#126—224no—
1056#126—224no—
1057#126—224no—
1058C4×D4—24no—
1059C4×D4—224no—
1060C4×D4—224no—
1061C4×D4—224no—
1062C4×D4—224no—
1063C4×D4—224no—
1064C4×D4—224no—
1065C4×D4—224no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—111no—
1088C2×C4⋊C4—111no—
1089C2×C4⋊C4—111no—
1090C2×C4⋊C4—111no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—224no—
1094C2×C4⋊C4—224no—
1095C2×C4⋊C4—224no—
1096C2×C4⋊C4—224no—
1097C2×C4⋊C4—224no—
1098C2×C4⋊C4—224no—
1099C2×C4⋊C4—224no—
1100C2×C4⋊C4—224no—
1101C2×C4⋊C4—442no—
1102C2×C4⋊C4C22×D1111yescharacteristic
1103C2×C4⋊C4C22×D1111yescharacteristic
1104C2×C4⋊C4C22×D1111yescharacteristic
1105C2×C4⋊C4C22×D1111yescharacteristic
1106C2×C4⋊C4C22×D1111yescharacteristic
1107C2×C4⋊C4C22×D1111yescharacteristic
1108C2×C4⋊C4C22×D1111yescharacteristic
1109C2×C4⋊C4C22×D1111yescharacteristic
1110C2×C4⋊C4C22×D1111yescharacteristic
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—118no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
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—224no—
1143C2×C22⋊C4—224no—
1144C2×C22⋊C4—224no—
1145C2×C22⋊C4—224no—
1146C2×C22⋊C4—224no—
1147C2×C22⋊C4—224no—
1148C2×C22⋊C4—224no—
1149C2×C22⋊C4—442no—
1150C2×C22⋊C4—442no—
1151C2×C22⋊C4C22×D1111yescharacteristic
1152C2×C22⋊C4C22×D1111yescharacteristic
1153C2×C22⋊C4C22×D1111yescharacteristic
1154C2×C22⋊C4C22×D1111yescharacteristic
1155C2×C22⋊C4C22×D1111yescharacteristic
1156C2×C22⋊C4C22×D1111yescharacteristic
1157C2×C22⋊C4C22×D1111yescharacteristic
1158C2×C22⋊C4C22×D1111yescharacteristic
1159C2×C22⋊C4C22×D1111yescharacteristic
1160C2×C22⋊C4C22×D1111yescharacteristic
1161C2×C42—111no—
1162C2×C42—111no—
1163C2×C42—111no—
1164C2×C42—111no—
1165C2×C42—111no—
1166C2×C42—111no—
1167C2×C42—111no—
1168C2×C42—111no—
1169C2×C42—111no—
1170C2×C42—224no—
1171C2×C42—224no—
1172C2×C42—442no—
1173C2×C42C22×D1111yescharacteristic
1174C2×C42C22×D1111yescharacteristic
1175C2×C42C22×D1111yescharacteristic
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95C22×D1111yescharacteristic
1207#95C22×D1111yescharacteristic
1208#95C22×D1111yescharacteristic
1209#95C22×D1111yescharacteristic
1210#95C22×D1111yescharacteristic
1211#95C22×D1111yescharacteristic
1212#95C22×D1111yescharacteristic
1213#95C22×D1111yescharacteristic
1214#95C22×D1111yescharacteristic
1215#95C22×D1111yescharacteristic
1216C2×C11—42no—
1217C2×C11—42no—
1218C2×C11C2×#52511yescharacteristic
1219C2×C11C2×#52911yescharacteristic
1220C2×C11C2×#53911yescharacteristic
1221C2×C11C2×#54611yescharacteristic
1222C2×C11C2×#54711yescharacteristic
1223C2×C11C2×#55311yescharacteristic
1224C2×C11C2×#55611yescharacteristic
1225D11—42no—
1226D11—42no—
1227D11#246618yesdirect product factor
1228C24—111no—
1229C24—114no—
1230C24—114no—
1231C24—111no—
1232C24—111no—
1233C24—222no—
1234C24—222no—
1235C24—222no—
1236C24—222no—
1237C24—222no—
1238C24—222no—
1239C24—222no—
1240C24—222no—
1241C24—222no—
1242C24—222no—
1243C24—222no—
1244C24—222no—
1245C24C23×D1111yescharacteristic
1246C24C23×D1111yescharacteristic
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—222no—
1251C2×D4—222no—
1252C2×D4—222no—
1253C2×D4—222no—
1254C2×D4—2232no—
1255C2×D4—222no—
1256C2×D4—222no—
1257C2×D4—222no—
1258C2×D4—222no—
1259C2×D4—222no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—111no—
1267C22×C4—111no—
1268C22×C4—111no—
1269C22×C4—111no—
1270C22×C4—111no—
1271C22×C4—114no—
1272C22×C4—114no—
1273C22×C4—114no—
1274C22×C4—114no—
1275C22×C4—114no—
1276C22×C4—111no—
1277C22×C4—111no—
1278C22×C4—111no—
1279C22×C4—111no—
1280C22×C4—111no—
1281C22×C4—111no—
1282C22×C4—111no—
1283C22×C4—111no—
1284C22×C4—222no—
1285C22×C4—222no—
1286C22×C4—222no—
1287C22×C4—222no—
1288C22×C4—222no—
1289C22×C4—222no—
1290C22×C4—222no—
1291C22×C4—222no—
1292C22×C4—222no—
1293C22×C4—222no—
1294C22×C4—222no—
1295C22×C4—222no—
1296C22×C4—222no—
1297C22×C4—222no—
1298C22×C4—222no—
1299C22×C4—222no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—222no—
1305C22×C4—222no—
1306C22×C4—222no—
1307C22×C4—222no—
1308C22×C4—222no—
1309C22×C4—222no—
1310C22×C4—222no—
1311C22×C4—222no—
1312C22×C4—222no—
1313C22×C4—222no—
1314C22×C4—222no—
1315C22×C4—222no—
1316C22×C4—222no—
1317C22×C4—222no—
1318C22×C4—222no—
1319C22×C4—222no—
1320C22×C4—222no—
1321C22×C4—222no—
1322C22×C4—222no—
1323C22×C4—222no—
1324C22×C4—222no—
1325C22×C4—222no—
1326C22×C4—222no—
1327C22×C4—222no—
1328C22×C4—222no—
1329C22×C4—222no—
1330C22×C4—441no—
1331C22×C4—441no—
1332C22×C4—441no—
1333C22×C4—441no—
1334C22×C4—4416no—
1335C22×C4—4416no—
1336C22×C4—441no—
1337C22×C4—441no—
1338C22×C4C23×D1111yescharacteristic
1339C22×C4C23×D1111yescharacteristic
1340C22×C4C23×D1111yescharacteristic
1341C22×C4C23×D1111yescharacteristic
1342C22×C4C23×D1111yescharacteristic
1343C22×C4C23×D1111yescharacteristic
1344C22×C4C23×D1111yescharacteristic
1345C22×C4C23×D1111yescharacteristic
1346C22×C4C23×D1111yescharacteristic
1347C22×C4C23×D1111yescharacteristic
1348C22×C4C23×D1111yescharacteristic
1349C22×C4C23×D1111yescharacteristic
1350C22×C4C23×D1111yescharacteristic
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—41no—
1360C4⋊C4—222no—
1361C4⋊C4—222no—
1362C4⋊C4—222no—
1363C4⋊C4—222no—
1364C4⋊C4—222no—
1365C4⋊C4—222no—
1366C4⋊C4—222no—
1367C4⋊C4—222no—
1368C4⋊C4—222no—
1369C4⋊C4—222no—
1370C4⋊C4—222no—
1371C4⋊C4—222no—
1372C4⋊C4—222no—
1373C4⋊C4—222no—
1374C4⋊C4—222no—
1375C4⋊C4—222no—
1376C4⋊C4—222no—
1377C4⋊C4—222no—
1378C4⋊C4—222no—
1379C4⋊C4—222no—
1380C4⋊C4—222no—
1381C4⋊C4—222no—
1382C4⋊C4—222no—
1383C4⋊C4—222no—
1384C4⋊C4—441no—
1385C4⋊C4—441no—
1386C4⋊C4—441no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—114no—
1397C22⋊C4—114no—
1398C22⋊C4—114no—
1399C22⋊C4—222no—
1400C22⋊C4—222no—
1401C22⋊C4—222no—
1402C22⋊C4—222no—
1403C22⋊C4—222no—
1404C22⋊C4—222no—
1405C22⋊C4—222no—
1406C22⋊C4—222no—
1407C22⋊C4—222no—
1408C22⋊C4—222no—
1409C22⋊C4—222no—
1410C22⋊C4—222no—
1411C22⋊C4—222no—
1412C22⋊C4—222no—
1413C22⋊C4—222no—
1414C22⋊C4—222no—
1415C22⋊C4—222no—
1416C22⋊C4—222no—
1417C22⋊C4—222no—
1418C22⋊C4—222no—
1419C22⋊C4—222no—
1420C22⋊C4—441no—
1421C22⋊C4—441no—
1422C22⋊C4—441no—
1423C22⋊C4—441no—
1424C22⋊C4—441no—
1425C22⋊C4—441no—
1426C22⋊C4D4×D1114yes—
1427C42—22no—
1428C42—22no—
1429C42—41no—
1430C42—222no—
1431C42—222no—
1432C42—222no—
1433C42—222no—
1434C42—222no—
1435C42—222no—
1436C42—441no—
1437C42—441no—
1438C42—441no—
1439C11C2×#246611yescharacteristic, complemented, Sylow
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—112no—
1453C23—112no—
1454C23—112no—
1455C23—112no—
1456C23—112no—
1457C23—112no—
1458C23—112no—
1459C23—112no—
1460C23—112no—
1461C23—228no—
1462C23—228no—
1463C23—228no—
1464C23—228no—
1465C23—228no—
1466C23—228no—
1467C23—221no—
1468C23—221no—
1469C23—221no—
1470C23—221no—
1471C23—221no—
1472C23—221no—
1473C23—221no—
1474C23—221no—
1475C23—221no—
1476C23—221no—
1477C23—221no—
1478C23—221no—
1479C23—444no—
1480C23—444no—
1481C23—444no—
1482C23—444no—
1483C23—444no—
1484C23—444no—
1485C23—444no—
1486C23—444no—
1487C23C2×D4×D1112yes—
1488C23#41×D1112yes—
1489C23C24×D1111yescharacteristic
1490D4—28no—
1491D4—228no—
1492D4—228no—
1493D4—228no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—112no—
1531C2×C4—112no—
1532C2×C4—112no—
1533C2×C4—112no—
1534C2×C4—112no—
1535C2×C4—228no—
1536C2×C4—228no—
1537C2×C4—228no—
1538C2×C4—228no—
1539C2×C4—228no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—444no—
1575C2×C4—444no—
1576C2×C4—444no—
1577C2×C4—444no—
1578C2×C4—444no—
1579C2×C4—444no—
1580C2×C4—444no—
1581C2×C4—444no—
1582C2×C4—444no—
1583C2×C4—444no—
1584C2×C4—444no—
1585C2×C4—444no—
1586C2×C4—444no—
1587C2×C4—444no—
1588C2×C4C2×D4×D1112yes—
1589C2×C4C2×D4×D1112yes—
1590C2×C4#41×D1112yes—
1591C2×C4#41×D1112yes—
1592C2×C4#41×D1112yes—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—114no—
1608C22—114no—
1609C22—114no—
1610C22—114no—
1611C22—114no—
1612C22—114no—
1613C22—114no—
1614C22—222no—
1615C22—222no—
1616C22—222no—
1617C22—222no—
1618C22—222no—
1619C22—222no—
1620C22—4416no—
1621C22—4416no—
1622C22—441no—
1623C22—441no—
1624C22—441no—
1625C22—441no—
1626C22—441no—
1627C22—441no—
1628C22—441no—
1629C22—441no—
1630C22C22×D4×D1111yescharacteristic
1631C22C2×#41×D1111yescharacteristic
1632C22C2×#41×D1111yescharacteristic
1633C22C2×#41×D1111yescharacteristic
1634C22C2×#41×D1111yescharacteristic
1635C22D11×H(5,𝔽2)11yescharacteristic
1636C22D11×2−1+411yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—222no—
1651C4—222no—
1652C4—222no—
1653C4—222no—
1654C4—222no—
1655C4—441no—
1656C4—441no—
1657C4—441no—
1658C4—441no—
1659C4—441no—
1660C4—441no—
1661C4—441no—
1662C4—441no—
1663C2—42no—
1664C2—42no—
1665C2—118no—
1666C2—442no—
1667C2—442no—
1668C2D11×#52511yescharacteristic
1669C2D11×#52911yescharacteristic
1670C2D11×#53911yescharacteristic
1671C2D11×#54611yescharacteristic
1672C2D11×#54711yescharacteristic
1673C2D11×#55311yescharacteristic
1674C2D11×#55611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2466C2
prime radicalC22×D4×D11C22
hypercenter#2466D11
hypocenterC11C2×#2466
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2466

Complements

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

NH ≅ G/Ntype
1. C2×D11×#126C2semidirect
3. #13072659C2semidirect
4. #13072658C2semidirect
5. #13072657C2semidirect
6. #13072656C2semidirect
7. #13072655C2semidirect
8. #13072654C2semidirect
9. #13072653C2semidirect
10. #13072652C2semidirect
11. #13072651C2semidirect
12. #13072650C2semidirect
13. #13072649C2semidirect
14. #13072648C2semidirect
15. #13072647C2semidirect
16. #13072646C2semidirect
17. #13072645C2semidirect
18. D11×#397C2semidirect
19. D11×#396C2semidirect
22. D11×#389C2semidirect
23. D11×#389C2semidirect
24. D11×#388C2semidirect
25. D11×#387C2semidirect
26. D11×#387C2semidirect
27. D11×#385C2semidirect
28. D11×#385C2semidirect
29. D11×#381C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2466C2semidirect
35. C2×C11×#126C22semidirect
42. C2×#66951C22semidirect
43. C2×#66951C22semidirect
44. C2×#66951C22semidirect
67. C2×#66932C22semidirect
68. C2×#66932C22semidirect
69. C2×#66932C22semidirect
70. C2×#66929C22semidirect
75. C11×#397C22semidirect
76. C11×#396C22semidirect
79. C11×#389C22semidirect
80. C11×#389C22semidirect
81. C11×#388C22semidirect
82. C11×#387C22semidirect
83. C11×#387C22semidirect
84. C11×#385C22semidirect
85. C11×#385C22semidirect
86. C11×#381C22semidirect
87. C4×C11×C22⋊C4C22semidirect
90. #10622824C22semidirect
91. #10622823C22semidirect
92. #10622823C22semidirect
93. C4×C22⋊Dic11C22semidirect
94. #10622607C22semidirect
95. #10622607C22semidirect
96. #10622607C22semidirect
97. #10622606C22semidirect
100. #10622603C22semidirect
101. #10622602C22semidirect
102. #10622602C22semidirect
103. #10622602C22semidirect
104. #10622602C22semidirect
105. #10622598C22semidirect
106. #10622598C22semidirect
107. #10622594C22semidirect
108. #10622594C22semidirect
109. #10622591C22semidirect
110. #10622591C22semidirect
111. #10622586C22semidirect
112. #10622586C22semidirect
113. #10622585C22semidirect
114. #10622585C22semidirect
115. #10622585C22semidirect
116. #10622585C22semidirect
125. #10622566C22semidirect
126. #10622565C22semidirect
127. #10622565C22semidirect
128. #10622564C22semidirect
129. #10622563C22semidirect
130. #10622563C22semidirect
131. #10622561C22semidirect
132. #10622561C22semidirect
133. #10622561C22semidirect
134. #10622559C22semidirect
135. #10622559C22semidirect
136. #10622558C22semidirect
137. #10622557C22semidirect
138. #10622556C22semidirect
139. #10622556C22semidirect
140. C22⋊C4×Dic11C22semidirect
141. C22⋊C4×Dic11C22semidirect
142. #10622553C22semidirect
143. C4×(C2×D11)⋊C4C22semidirect
144. C4×(C2×D11)⋊C4C22semidirect
145. #10622546C22semidirect
146. #10622546C22semidirect
147. #10622541C22semidirect
148. #10622541C22semidirect
149. #10622289C22semidirect
150. #10622288C22semidirect
151. #10622288C22semidirect
152. #10622287C22semidirect
155. #10622283C22semidirect
156. #10622282C22semidirect
157. #10622281C22semidirect
158. #10622281C22semidirect
159. #10622281C22semidirect
160. #10622281C22semidirect
161. #10622279C22semidirect
162. #10622279C22semidirect
163. #10622277C22semidirect
164. #10622277C22semidirect
165. #10622277C22semidirect
166. #10622277C22semidirect
177. #10622268C22semidirect
178. #10622268C22semidirect
179. #10622267C22semidirect
180. #10622267C22semidirect
181. #10622266C22semidirect
182. #10622266C22semidirect
183. #10622265C22semidirect
184. #10622265C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
620. #2466D11direct (N × H)
798. C2×#126C2×D11semidirect
837. #397C2×D11semidirect
845. #396C2×D11semidirect
876. #389C2×D11semidirect
877. #389C2×D11semidirect
885. #388C2×D11semidirect
900. #387C2×D11semidirect
901. #387C2×D11semidirect
916. #385C2×D11semidirect
917. #385C2×D11semidirect
925. #381C2×D11semidirect
933. C4×C22⋊C4C2×D11semidirect
1227. D11#2466direct (N × H)
1439. C11C2×#2466semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1262
C2×C4×D4×D112
#130726592
#130726582
#130726572
#130726562
#130726552
#130726542
#130726532
#130726522
#130726512
#130726502
#130726492
#130726482
#130726472
#130726462
#130726452
D11×#3972
D11×#3962
D11×#3942
D11×#3892
D11×#3882
D11×#3872
D11×#3852
D11×#3812
C4×C22⋊C4×D112
C11×#24662
C2×#246611