Finite Group Databasebeta

← D11×#2465 #14921741

Subgroups — D11×#2465 #14921741

Order 2816.

2854 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×C22⋊Q8C211yesmaximal, characteristic
2C2×C4×Q8×D11C211yesmaximal, characteristic, complemented
3#13072644C211yesmaximal, characteristic, complemented
4#13072643C211yesmaximal, characteristic, complemented
5#13072642C211yesmaximal, characteristic, complemented
6#13072641C211yesmaximal, characteristic, complemented
7#13072640C211yesmaximal, characteristic, complemented
8#13072639C211yesmaximal, characteristic, complemented
9#13072638C211yesmaximal, characteristic, complemented
10#13072637C211yesmaximal, characteristic, complemented
11#13072636C211yesmaximal, characteristic, complemented
12#13072635C211yesmaximal, characteristic, complemented
13#13072634C211yesmaximal, characteristic, complemented
14#13072633C211yesmaximal, characteristic, complemented
15#13072632C211yesmaximal, characteristic, complemented
16#13072631C211yesmaximal, characteristic, complemented
17#13072630C211yesmaximal, characteristic, complemented
18D11×#396C211yesmaximal, characteristic
19D11×#395C211yesmaximal, characteristic, complemented
20D11×#395C211yesmaximal, characteristic, complemented
21D11×#393C211yesmaximal, characteristic
22D11×#391C211yesmaximal, characteristic, complemented
23D11×#389C211yesmaximal, characteristic, complemented
24D11×#388C211yesmaximal, characteristic
25D11×#388C211yesmaximal, characteristic
26D11×#387C211yesmaximal, characteristic, complemented
27D11×#387C211yesmaximal, characteristic, complemented
28D11×#387C211yesmaximal, characteristic, complemented
29D11×#385C211yesmaximal, characteristic
30C4×C22⋊C4×D11C211yesmaximal, characteristic
31C11×#2465C211yesmaximal, characteristic, complemented
32C22×Q8×D11C2211yescharacteristic
33C22×Q8×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic
36C2×C4×Q8×C11C2211yescharacteristic, complemented
37C2×#66999C2211yescharacteristic
38C2×Q8×Dic11C2211yescharacteristic, complemented
39C2×#66977C2211yescharacteristic
40D11×C22⋊Q8—28no—
41C4×Q8×D11—28no—
42C2×#66950C2211yescharacteristic
43C2×#66949C2211yescharacteristic
44C2×#66949C2211yescharacteristic
45C2×C4⋊C4×D11C2211yescharacteristic
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×#66940C2211yescharacteristic, complemented
56C2×#66940C2211yescharacteristic, complemented
57C2×#66940C2211yescharacteristic, complemented
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×#66931C2211yescharacteristic
65C2×#66931C2211yescharacteristic
66C2×C42×D11C2211yescharacteristic
67C2×C42×D11C2211yescharacteristic
68C2×C42×D11C2211yescharacteristic
69C2×C42×D11C2211yescharacteristic
70C2×C4×Dic22C2211yescharacteristic, complemented
71C2×C4×Dic22C2211yescharacteristic, complemented
72C2×C4×Dic22C2211yescharacteristic, complemented
73C11×#396C2211yescharacteristic
74C11×#395C2211yescharacteristic, complemented
75C11×#395C2211yescharacteristic, complemented
76C11×#393C2211yescharacteristic
77C11×#391C2211yescharacteristic, complemented
78C11×#389C2211yescharacteristic, complemented
79C11×#388C2211yescharacteristic
80C11×#388C2211yescharacteristic
81C11×#387C2211yescharacteristic, complemented
82C11×#387C2211yescharacteristic, complemented
83C11×#387C2211yescharacteristic, complemented
84C11×#385C2211yescharacteristic
85C4×C11×C22⋊C4C2211yescharacteristic
86#10622844C2211yescharacteristic
87#10622843C2211yescharacteristic, complemented
88#10622842C2211yescharacteristic, complemented
89#10622842C2211yescharacteristic, complemented
90#10622823C2211yescharacteristic
91C4×C22⋊Dic11C2211yescharacteristic
92#10622607C2211yescharacteristic
93#10622607C2211yescharacteristic
94#10622607C2211yescharacteristic
95#10622603C2211yescharacteristic
96#10622603C2211yescharacteristic
97#10622602C2211yescharacteristic
98#10622602C2211yescharacteristic
99#10622598C2211yescharacteristic, complemented
100#10622594C2211yescharacteristic, complemented
101#10622594C2211yescharacteristic, complemented
102#10622594C2211yescharacteristic, complemented
103#10622592C2211yescharacteristic, complemented
104#10622592C2211yescharacteristic, complemented
105#10622592C2211yescharacteristic, complemented
106#10622592C2211yescharacteristic, complemented
107#10622592C2211yescharacteristic, complemented
108#10622592C2211yescharacteristic, complemented
109#10622591C2211yescharacteristic, complemented
110#10622591C2211yescharacteristic, complemented
111#10622591C2211yescharacteristic, complemented
112#10622587C2211yescharacteristic, complemented
113#10622586C2211yescharacteristic, complemented
114#10622585C2211yescharacteristic, complemented
115#10622585C2211yescharacteristic, complemented
116#10622564C2211yescharacteristic
117#10622564C2211yescharacteristic
118#10622563C2211yescharacteristic
119#10622561C2211yescharacteristic
120#10622561C2211yescharacteristic
121#10622561C2211yescharacteristic
122#10622560C2211yescharacteristic
123#10622560C2211yescharacteristic
124#10622560C2211yescharacteristic
125#10622559C2211yescharacteristic
126#10622558C2211yescharacteristic
127#10622558C2211yescharacteristic
128#10622557C2211yescharacteristic
129#10622557C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131C22⋊C4×Dic11C2211yescharacteristic
132#10622553C2211yescharacteristic
133#10622553C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136#10622546C2211yescharacteristic, complemented
137#10622546C2211yescharacteristic, complemented
138#10622546C2211yescharacteristic, complemented
139#10622542C2211yescharacteristic, complemented
140#10622541C2211yescharacteristic, complemented
141#10622289C2211yescharacteristic
142#10622286C2211yescharacteristic
143#10622286C2211yescharacteristic
144#10622286C2211yescharacteristic
145#10622283C2211yescharacteristic
146#10622283C2211yescharacteristic
147#10622282C2211yescharacteristic
148#10622282C2211yescharacteristic
149#10622281C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622279C2211yescharacteristic
153D11×#95C2211yescharacteristic
154D11×#95C2211yescharacteristic
155D11×#95C2211yescharacteristic
156D11×#95C2211yescharacteristic
157D11×#95C2211yescharacteristic
158D11×#95C2211yescharacteristic
159D11×#95C2211yescharacteristic
160D11×#95C2211yescharacteristic
161D11×#95C2211yescharacteristic
162D11×#95C2211yescharacteristic
163D11×#95C2211yescharacteristic
164D11×#95C2211yescharacteristic
165#10622269C2211yescharacteristic, complemented
166#10622269C2211yescharacteristic, complemented
167#10622269C2211yescharacteristic, complemented
168#10622269C2211yescharacteristic, complemented
169#10622269C2211yescharacteristic, complemented
170#10622269C2211yescharacteristic, complemented
171#10622268C2211yescharacteristic, complemented
172#10622268C2211yescharacteristic, complemented
173#10622268C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622267C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C2×Q8×D11—24no—
195C2×Q8×D11—24no—
196C2×Q8×D11—24no—
197C2×Q8×D11—24no—
198C2×Q8×D11—24no—
199C2×Q8×D11—42no—
200C22×C4×D11—24no—
201C22×C4×D11—24no—
202C22×C4×D11—42no—
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
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×Dic22C2311yescharacteristic
220C22×Dic22C2311yescharacteristic
221C22×Dic22C2311yescharacteristic
222C22×Dic22C2311yescharacteristic
223C22×Dic22C2311yescharacteristic
224C22×Dic22C2311yescharacteristic
225C11×C22⋊Q8—24no—
226C4×Q8×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×C4⋊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×C11C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253#66999—24no—
254Q8×Dic11—24no—
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277#66977—24no—
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310#66950—24no—
311#66949—24no—
312#66949—24no—
313C4⋊C4×D11—24no—
314C4⋊C4×D11—24no—
315C4⋊C4×D11—24no—
316C4⋊C4×D11—24no—
317C4⋊C4×D11—24no—
318C4⋊C4×D11—24no—
319C4⋊C4×D11—24no—
320C4⋊C4×D11—42no—
321C4⋊C4×D11—42no—
322C4⋊C4×D11D418yes—
323#66940—24no—
324#66940—24no—
325#66940—24no—
326C22⋊C4×D11—24no—
327C22⋊C4×D11—24no—
328C22⋊C4×D11—24no—
329C22⋊C4×D11—24no—
330C22⋊C4×D11—42no—
331C22⋊C4×D11Q818yescomplemented
332#66931—24no—
333#66931—24no—
334C42×D11—24no—
335C42×D11—24no—
336C42×D11—24no—
337C42×D11—42no—
338C4×Dic22—24no—
339C4×Dic22—24no—
340C4×Dic22—24no—
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
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
389C2×#2465—111nomaximal, Sylow
390C24×C11C2411yescharacteristic
391C23×D11—22no—
392C23×D11—22no—
393C23×D11—22no—
394C23×D11—22no—
395C23×D11—22no—
396C23×D11—22no—
397C23×D11C2×Q814yes—
398C23×D11C2411yescharacteristic
399C23×D11C2411yescharacteristic
400C2×Q8×C11—22no—
401C2×Q8×C11—22no—
402C2×Q8×C11—22no—
403C2×Q8×C11—22no—
404C2×Q8×C11—22no—
405C2×Q8×C11—41no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—41no—
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×Dic11—22no—
424C22×Dic11—22no—
425C22×Dic11—41no—
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440Q8×D11—232no—
441Q8×D11—416no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—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—41no—
481C2×C4×D11—41no—
482C2×C4×D11—416no—
483C2×C4×D11C2×D414yes—
484C2×C4×D11C2×D414yes—
485C2×C4×D11C2×D414yes—
486C2×C4×D11C2×Q814yes—
487C2×C4×D11C2×Q814yes—
488C2×C4×D11#4114yes—
489C2×C4×D11#4114yes—
490C2×C4×D11#4114yes—
491C2×Dic22—22no—
492C2×Dic22—22no—
493C2×Dic22—22no—
494C2×Dic22—22no—
495C2×Dic22—22no—
496C2×Dic22—22no—
497C2×Dic22—22no—
498C2×Dic22—22no—
499C2×Dic22—22no—
500C2×Dic22—22no—
501C2×Dic22—22no—
502C2×Dic22—22no—
503C2×Dic22—22no—
504C2×Dic22—22no—
505C2×Dic22—22no—
506C2×Dic22—41no—
507C2×Dic22—41no—
508C2×Dic22—41no—
509C11×C4⋊C4—22no—
510C11×C4⋊C4—22no—
511C11×C4⋊C4—22no—
512C11×C4⋊C4—22no—
513C11×C4⋊C4—22no—
514C11×C4⋊C4—22no—
515C11×C4⋊C4—22no—
516C11×C4⋊C4—41no—
517C11×C4⋊C4—41no—
518C11×C4⋊C4C2×D414yes—
519C11×C22⋊C4—22no—
520C11×C22⋊C4—22no—
521C11×C22⋊C4—22no—
522C11×C22⋊C4—22no—
523C11×C22⋊C4—41no—
524C11×C22⋊C4C2×Q814yescomplemented
525C42×C11—22no—
526C42×C11—22no—
527C42×C11—22no—
528C42×C11—41no—
529C22⋊Dic11—22no—
530C22⋊Dic11—22no—
531C22⋊Dic11—22no—
532C22⋊Dic11—22no—
533C22⋊Dic11—41no—
534C22⋊Dic11C2×Q814yescomplemented
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4C2×Q814yescomplemented
546(C2×D11)⋊C4C2×Q814yescomplemented
547C4⋊Dic11—22no—
548C4⋊Dic11—22no—
549C4⋊Dic11—22no—
550C4⋊Dic11—22no—
551C4⋊Dic11—22no—
552C4⋊Dic11—22no—
553C4⋊Dic11—22no—
554C4⋊Dic11—41no—
555C4⋊Dic11—41no—
556C4⋊Dic11C2×D414yes—
557Dic11⋊C4—22no—
558Dic11⋊C4—22no—
559Dic11⋊C4—22no—
560Dic11⋊C4—22no—
561Dic11⋊C4—22no—
562Dic11⋊C4—22no—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—22no—
566Dic11⋊C4—22no—
567Dic11⋊C4—22no—
568Dic11⋊C4—22no—
569Dic11⋊C4—22no—
570Dic11⋊C4—22no—
571Dic11⋊C4—41no—
572Dic11⋊C4—41no—
573Dic11⋊C4—41no—
574Dic11⋊C4—41no—
575Dic11⋊C4C2×D414yes—
576Dic11⋊C4C2×D414yes—
577C4×Dic11—22no—
578C4×Dic11—22no—
579C4×Dic11—22no—
580C4×Dic11—22no—
581C4×Dic11—22no—
582C4×Dic11—22no—
583C4×Dic11—22no—
584C4×Dic11—22no—
585C4×Dic11—22no—
586C4×Dic11—41no—
587C4×Dic11—41no—
588C4×Dic11—41no—
589C22×C22⋊Q8—111no—
590C22×C4×Q8—111no—
591#2465—111no—
592#2465—111no—
593#2465—111no—
594#2465—111no—
595#2465—111no—
596#2465—111no—
597#2465—111no—
598#2465—111no—
599#2465—111no—
600#2465—111no—
601#2465—111no—
602#2465—111no—
603#2465—111no—
604#2465—111no—
605#2465—111no—
606#2465D1111yescharacteristic, direct product factor
607C2×#396—111no—
608C2×#395—111no—
609C2×#395—111no—
610C2×#393—111no—
611C2×#391—111no—
612C2×#389—111no—
613C2×#388—111no—
614C2×#388—111no—
615C2×#387—111no—
616C2×#387—111no—
617C2×#387—111no—
618C2×#385—111no—
619C2×C4×C22⋊C4—111no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11C22×Q812yes—
627C23×C11C2511yescharacteristic
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—28no—
635C22×D11—28no—
636C22×D11—28no—
637C22×D11—44no—
638C22×D11—44no—
639C22×D11—44no—
640C22×D11—44no—
641C22×D11C22×D412yes—
642C22×D11C22×Q812yes—
643C22×D11C22×Q812yes—
644C22×D11C2×#4112yes—
645C22×D11C2×#4112yes—
646C22×D11C2×#4112yes—
647C22×D11H(5,𝔽2)12yes—
648C22×D112−1+412yes—
649Q8×C11—28no—
650Q8×C11—44no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—44no—
686C2×C4×C11C22×D412yes—
687C2×C4×C11C22×D412yes—
688C2×C4×C11C22×D412yes—
689C2×C4×C11C22×Q812yes—
690C2×C4×C11C22×Q812yes—
691C2×C4×C11C2×#4112yes—
692C2×C4×C11C2×#4112yes—
693C2×C4×C11C2×#4112yes—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—44no—
729C2×Dic11C22×D412yes—
730C2×Dic11C22×D412yes—
731C2×Dic11C22×D412yes—
732C2×Dic11C22×Q812yes—
733C2×Dic11C22×Q812yes—
734C2×Dic11C2×#4112yes—
735C2×Dic11C2×#4112yes—
736C2×Dic11C2×#4112yes—
737C4×D11—28no—
738C4×D11—28no—
739C4×D11—28no—
740C4×D11—28no—
741C4×D11—28no—
742C4×D11—28no—
743C4×D11—28no—
744C4×D11—28no—
745C4×D11—44no—
746C4×D11—44no—
747C4×D11—44no—
748C4×D11—44no—
749C4×D11—44no—
750C4×D11—44no—
751C4×D11—44no—
752C4×D11—44no—
753Dic22—28no—
754Dic22—28no—
755Dic22—28no—
756Dic22—44no—
757Dic22—44no—
758Dic22—44no—
759C23×Q8—111no—
760C23×Q8—111no—
761C24×C4—111no—
762C2×C22⋊Q8—111no—
763C2×C22⋊Q8—111no—
764C2×C22⋊Q8—111no—
765C2×C22⋊Q8—111no—
766C2×C22⋊Q8—111no—
767C2×C22⋊Q8—111no—
768C2×C22⋊Q8—111no—
769C2×C22⋊Q8—228no—
770C2×C22⋊Q8C2×D1111yescharacteristic
771C2×C4×Q8—111no—
772C2×C4×Q8—111no—
773C2×C4×Q8—111no—
774C2×C4×Q8—111no—
775C2×C4×Q8—111no—
776C2×C4×Q8—111no—
777C2×C4×Q8—111no—
778C2×C4×Q8—228no—
779C2×C4×Q8C2×D1111yescharacteristic, complemented
780C22×C4⋊C4—111no—
781C22×C4⋊C4—111no—
782C22×C4⋊C4—111no—
783C22×C4⋊C4—111no—
784C22×C4⋊C4—111no—
785C22×C4⋊C4—111no—
786C22×C4⋊C4—111no—
787C22×C4⋊C4—111no—
788C22×C4⋊C4—111no—
789C22×C4⋊C4—111no—
790C22×C22⋊C4—111no—
791C22×C22⋊C4—111no—
792C22×C22⋊C4—111no—
793C22×C22⋊C4—111no—
794C22×C22⋊C4—111no—
795C22×C22⋊C4—111no—
796C22×C42—111no—
797C22×C42—111no—
798C22×C42—111no—
799C22×C42—111no—
800#396—111no—
801#396—111no—
802#396—111no—
803#396—111no—
804#396—111no—
805#396—111no—
806#396—111no—
807#396C2×D1111yescharacteristic
808#395—111no—
809#395—111no—
810#395—111no—
811#395—111no—
812#395—111no—
813#395—111no—
814#395—111no—
815#395—111no—
816#395—111no—
817#395—111no—
818#395—111no—
819#395—111no—
820#395—111no—
821#395—111no—
822#395C2×D1111yescharacteristic, complemented
823#395C2×D1111yescharacteristic, complemented
824#393—111no—
825#393—111no—
826#393—111no—
827#393—111no—
828#393—111no—
829#393—111no—
830#393—111no—
831#393C2×D1111yescharacteristic
832#391—111no—
833#391—111no—
834#391—111no—
835#391—111no—
836#391—111no—
837#391—111no—
838#391—111no—
839#391C2×D1111yescharacteristic, complemented
840#389—111no—
841#389—111no—
842#389—111no—
843#389—111no—
844#389—111no—
845#389—111no—
846#389—111no—
847#389C2×D1111yescharacteristic, complemented
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388—111no—
853#388—111no—
854#388—111no—
855#388—111no—
856#388—111no—
857#388—111no—
858#388—111no—
859#388—111no—
860#388—111no—
861#388—111no—
862#388C2×D1111yescharacteristic
863#388C2×D1111yescharacteristic
864#387—111no—
865#387—111no—
866#387—111no—
867#387—111no—
868#387—111no—
869#387—111no—
870#387—111no—
871#387—111no—
872#387—111no—
873#387—111no—
874#387—111no—
875#387—111no—
876#387—111no—
877#387—111no—
878#387—111no—
879#387—111no—
880#387—111no—
881#387—111no—
882#387—111no—
883#387—111no—
884#387—111no—
885#387C2×D1111yescharacteristic, complemented
886#387C2×D1111yescharacteristic, complemented
887#387C2×D1111yescharacteristic, complemented
888#385—111no—
889#385—111no—
890#385—111no—
891#385—111no—
892#385—111no—
893#385—111no—
894#385—111no—
895#385C2×D1111yescharacteristic
896C4×C22⋊C4—111no—
897C4×C22⋊C4—111no—
898C4×C22⋊C4—111no—
899C4×C22⋊C4—111no—
900C4×C22⋊C4—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4—111no—
903C4×C22⋊C4C2×D1111yescharacteristic
904C2×#95—111no—
905C2×#95—111no—
906C2×#95—111no—
907C2×#95—111no—
908C2×#95—111no—
909C2×#95—111no—
910C2×#95—111no—
911C2×#95—111no—
912C2×#95—111no—
913C2×#95—111no—
914C2×#95—111no—
915C2×#95—111no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11C23×D411yescharacteristic
924C22×C11C23×Q811yescharacteristic
925C22×C11C22×#4111yescharacteristic
926C22×C11C22×#4111yescharacteristic
927C22×C11C22×#4111yescharacteristic
928C22×C11C2×H(5,𝔽2)11yescharacteristic
929C22×C11C2×2−1+411yescharacteristic
930C2×D11—22no—
931C2×D11—22no—
932C2×D11—22no—
933C2×D11—41no—
934C2×D11—41no—
935C2×D11—41no—
936C2×D11—41no—
937C2×D11—416no—
938C2×D11#52514yes—
939C2×D11#53314yes—
940C2×D11#54214yes—
941C2×D11#54614yes—
942C2×D11D4×Q814yes—
943C2×D11#55414yes—
944C2×D11#55614yes—
945C4×C11—22no—
946C4×C11—22no—
947C4×C11—22no—
948C4×C11—22no—
949C4×C11—22no—
950C4×C11—22no—
951C4×C11—22no—
952C4×C11—22no—
953C4×C11—41no—
954C4×C11—41no—
955C4×C11—41no—
956C4×C11—41no—
957C4×C11—41no—
958C4×C11—41no—
959Dic11—22no—
960Dic11—22no—
961Dic11—22no—
962Dic11—22no—
963Dic11—22no—
964Dic11—22no—
965Dic11—22no—
966Dic11—22no—
967Dic11—41no—
968Dic11—41no—
969Dic11—41no—
970Dic11—41no—
971Dic11—41no—
972Dic11—41no—
973C25—111no—
974C22×Q8—111no—
975C22×Q8—111no—
976C22×Q8—111no—
977C22×Q8—111no—
978C22×Q8—111no—
979C22×Q8—111no—
980C22×Q8—224no—
981C22×Q8—224no—
982C22×Q8—224no—
983C22×Q8—224no—
984C22×Q8—224no—
985C22×Q8—442no—
986C22×Q8C22×D1111yescharacteristic
987C22×Q8C22×D1111yescharacteristic
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—111no—
997C23×C4—111no—
998C23×C4—111no—
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—224no—
1006C23×C4—224no—
1007C23×C4—442no—
1008C23×C4C22×D1111yescharacteristic
1009C22⋊Q8—24no—
1010C22⋊Q8—224no—
1011C22⋊Q8—224no—
1012C22⋊Q8—224no—
1013C22⋊Q8—224no—
1014C22⋊Q8—224no—
1015C22⋊Q8—224no—
1016C22⋊Q8—224no—
1017C4×Q8—24no—
1018C4×Q8—224no—
1019C4×Q8—224no—
1020C4×Q8—224no—
1021C4×Q8—224no—
1022C4×Q8—224no—
1023C4×Q8—224no—
1024C4×Q8—224no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—118no—
1029C2×C4⋊C4—111no—
1030C2×C4⋊C4—111no—
1031C2×C4⋊C4—111no—
1032C2×C4⋊C4—111no—
1033C2×C4⋊C4—111no—
1034C2×C4⋊C4—111no—
1035C2×C4⋊C4—111no—
1036C2×C4⋊C4—111no—
1037C2×C4⋊C4—111no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—224no—
1057C2×C4⋊C4—224no—
1058C2×C4⋊C4—224no—
1059C2×C4⋊C4—224no—
1060C2×C4⋊C4—224no—
1061C2×C4⋊C4—224no—
1062C2×C4⋊C4—224no—
1063C2×C4⋊C4—442no—
1064C2×C4⋊C4—442no—
1065C2×C4⋊C4C22×D1111yescharacteristic
1066C2×C4⋊C4C22×D1111yescharacteristic
1067C2×C4⋊C4C22×D1111yescharacteristic
1068C2×C4⋊C4C22×D1111yescharacteristic
1069C2×C4⋊C4C22×D1111yescharacteristic
1070C2×C4⋊C4C22×D1111yescharacteristic
1071C2×C4⋊C4C22×D1111yescharacteristic
1072C2×C4⋊C4C22×D1111yescharacteristic
1073C2×C4⋊C4C22×D1111yescharacteristic
1074C2×C4⋊C4C22×D1111yescharacteristic
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—118no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—224no—
1095C2×C22⋊C4—224no—
1096C2×C22⋊C4—224no—
1097C2×C22⋊C4—224no—
1098C2×C22⋊C4—442no—
1099C2×C22⋊C4C22×D1111yescharacteristic
1100C2×C22⋊C4C22×D1111yescharacteristic
1101C2×C22⋊C4C22×D1111yescharacteristic
1102C2×C22⋊C4C22×D1111yescharacteristic
1103C2×C22⋊C4C22×D1111yescharacteristic
1104C2×C22⋊C4C22×D1111yescharacteristic
1105C2×C42—111no—
1106C2×C42—111no—
1107C2×C42—111no—
1108C2×C42—111no—
1109C2×C42—111no—
1110C2×C42—111no—
1111C2×C42—111no—
1112C2×C42—111no—
1113C2×C42—111no—
1114C2×C42—111no—
1115C2×C42—111no—
1116C2×C42—111no—
1117C2×C42—224no—
1118C2×C42—224no—
1119C2×C42—224no—
1120C2×C42—442no—
1121C2×C42C22×D1111yescharacteristic
1122C2×C42C22×D1111yescharacteristic
1123C2×C42C22×D1111yescharacteristic
1124C2×C42C22×D1111yescharacteristic
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95C22×D1111yescharacteristic
1162#95C22×D1111yescharacteristic
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166#95C22×D1111yescharacteristic
1167#95C22×D1111yescharacteristic
1168#95C22×D1111yescharacteristic
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172#95C22×D1111yescharacteristic
1173C2×C11—42no—
1174C2×C11C2×#52511yescharacteristic
1175C2×C11C2×#53311yescharacteristic
1176C2×C11C2×#54211yescharacteristic
1177C2×C11C2×#54611yescharacteristic
1178C2×C11C2×D4×Q811yescharacteristic
1179C2×C11C2×#55411yescharacteristic
1180C2×C11C2×#55611yescharacteristic
1181D11—42no—
1182D11#246518yesdirect product factor
1183C24—111no—
1184C24—114no—
1185C24—111no—
1186C24—222no—
1187C24—222no—
1188C24—222no—
1189C24—222no—
1190C24—222no—
1191C24—222no—
1192C24C23×D1111yescharacteristic
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—41no—
1199C2×Q8—222no—
1200C2×Q8—222no—
1201C2×Q8—222no—
1202C2×Q8—222no—
1203C2×Q8—222no—
1204C2×Q8—222no—
1205C2×Q8—222no—
1206C2×Q8—222no—
1207C2×Q8—222no—
1208C2×Q8—222no—
1209C2×Q8—2232no—
1210C2×Q8—222no—
1211C2×Q8—222no—
1212C2×Q8—222no—
1213C2×Q8—222no—
1214C2×Q8—222no—
1215C2×Q8—441no—
1216C2×Q8—441no—
1217C2×Q8—441no—
1218C2×Q8—4416no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—41no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—111no—
1230C22×C4—114no—
1231C22×C4—114no—
1232C22×C4—114no—
1233C22×C4—114no—
1234C22×C4—114no—
1235C22×C4—114no—
1236C22×C4—114no—
1237C22×C4—114no—
1238C22×C4—111no—
1239C22×C4—111no—
1240C22×C4—111no—
1241C22×C4—111no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—222no—
1245C22×C4—222no—
1246C22×C4—222no—
1247C22×C4—222no—
1248C22×C4—222no—
1249C22×C4—222no—
1250C22×C4—222no—
1251C22×C4—222no—
1252C22×C4—222no—
1253C22×C4—222no—
1254C22×C4—222no—
1255C22×C4—222no—
1256C22×C4—222no—
1257C22×C4—222no—
1258C22×C4—222no—
1259C22×C4—222no—
1260C22×C4—222no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—222no—
1269C22×C4—222no—
1270C22×C4—222no—
1271C22×C4—222no—
1272C22×C4—222no—
1273C22×C4—222no—
1274C22×C4—222no—
1275C22×C4—222no—
1276C22×C4—222no—
1277C22×C4—222no—
1278C22×C4—222no—
1279C22×C4—222no—
1280C22×C4—222no—
1281C22×C4—222no—
1282C22×C4—222no—
1283C22×C4—222no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—4416no—
1287C22×C4—441no—
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C22×C4C23×D1111yescharacteristic
1291C22×C4C23×D1111yescharacteristic
1292C22×C4C23×D1111yescharacteristic
1293C22×C4C23×D1111yescharacteristic
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—114no—
1312C4⋊C4—114no—
1313C4⋊C4—114no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—222no—
1318C4⋊C4—222no—
1319C4⋊C4—222no—
1320C4⋊C4—222no—
1321C4⋊C4—222no—
1322C4⋊C4—222no—
1323C4⋊C4—222no—
1324C4⋊C4—222no—
1325C4⋊C4—222no—
1326C4⋊C4—222no—
1327C4⋊C4—222no—
1328C4⋊C4—222no—
1329C4⋊C4—222no—
1330C4⋊C4—222no—
1331C4⋊C4—222no—
1332C4⋊C4—222no—
1333C4⋊C4—222no—
1334C4⋊C4—222no—
1335C4⋊C4—441no—
1336C4⋊C4—441no—
1337C4⋊C4—441no—
1338C4⋊C4—441no—
1339C4⋊C4—441no—
1340C4⋊C4—441no—
1341C4⋊C4D4×D1114yes—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—41no—
1347C22⋊C4—114no—
1348C22⋊C4—114no—
1349C22⋊C4—114no—
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—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
1365C22⋊C4Q8×D1114yescomplemented
1366C42—22no—
1367C42—22no—
1368C42—22no—
1369C42—41no—
1370C42—222no—
1371C42—222no—
1372C42—222no—
1373C42—222no—
1374C42—222no—
1375C42—222no—
1376C42—222no—
1377C42—222no—
1378C42—222no—
1379C42—441no—
1380C42—441no—
1381C42—441no—
1382C11C2×#246511yescharacteristic, complemented, Sylow
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—112no—
1390C23—112no—
1391C23—112no—
1392C23—112no—
1393C23—112no—
1394C23—112no—
1395C23—112no—
1396C23—112no—
1397C23—228no—
1398C23—228no—
1399C23—228no—
1400C23—221no—
1401C23—221no—
1402C23—221no—
1403C23—221no—
1404C23—221no—
1405C23—221no—
1406C23—444no—
1407C23—444no—
1408C23—444no—
1409C23—444no—
1410C23C2×Q8×D1112yes—
1411C23C24×D1111yescharacteristic
1412Q8—28no—
1413Q8—44no—
1414Q8—228no—
1415Q8—228no—
1416Q8—228no—
1417Q8—444no—
1418Q8—444no—
1419Q8—444no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—44no—
1455C2×C4—112no—
1456C2×C4—112no—
1457C2×C4—112no—
1458C2×C4—112no—
1459C2×C4—112no—
1460C2×C4—112no—
1461C2×C4—112no—
1462C2×C4—112no—
1463C2×C4—228no—
1464C2×C4—228no—
1465C2×C4—228no—
1466C2×C4—228no—
1467C2×C4—228no—
1468C2×C4—228no—
1469C2×C4—228no—
1470C2×C4—228no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—444no—
1506C2×C4—444no—
1507C2×C4—444no—
1508C2×C4—444no—
1509C2×C4—444no—
1510C2×C4—444no—
1511C2×C4—444no—
1512C2×C4—444no—
1513C2×C4—444no—
1514C2×C4C2×D4×D1112yes—
1515C2×C4C2×D4×D1112yes—
1516C2×C4C2×D4×D1112yes—
1517C2×C4C2×Q8×D1112yes—
1518C2×C4C2×Q8×D1112yes—
1519C2×C4#41×D1112yes—
1520C2×C4#41×D1112yes—
1521C2×C4#41×D1112yes—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—114no—
1530C22—114no—
1531C22—114no—
1532C22—114no—
1533C22—114no—
1534C22—114no—
1535C22—114no—
1536C22—222no—
1537C22—222no—
1538C22—222no—
1539C22—4416no—
1540C22—441no—
1541C22—441no—
1542C22—441no—
1543C22—441no—
1544C22C22×D4×D1111yescharacteristic
1545C22C22×Q8×D1111yescharacteristic
1546C22C2×#41×D1111yescharacteristic
1547C22C2×#41×D1111yescharacteristic
1548C22C2×#41×D1111yescharacteristic
1549C22D11×H(5,𝔽2)11yescharacteristic
1550C22D11×2−1+411yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—22no—
1556C4—22no—
1557C4—22no—
1558C4—22no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—222no—
1566C4—222no—
1567C4—222no—
1568C4—222no—
1569C4—222no—
1570C4—222no—
1571C4—222no—
1572C4—222no—
1573C4—441no—
1574C4—441no—
1575C4—441no—
1576C4—441no—
1577C4—441no—
1578C4—441no—
1579C2—42no—
1580C2—118no—
1581C2—442no—
1582C2D11×#52511yescharacteristic
1583C2D11×#53311yescharacteristic
1584C2D11×#54211yescharacteristic
1585C2D11×#54611yescharacteristic
1586C2D4×Q8×D1111yescharacteristic
1587C2D11×#55411yescharacteristic
1588C2D11×#55611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2465C2
prime radicalC24×D11C23
hypercenter#2465D11
hypocenterC11C2×#2465
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2465

Complements

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

NH ≅ G/Ntype
2. C2×C4×Q8×D11C2semidirect
3. #13072644C2semidirect
4. #13072643C2semidirect
5. #13072642C2semidirect
6. #13072641C2semidirect
7. #13072640C2semidirect
8. #13072639C2semidirect
9. #13072638C2semidirect
10. #13072637C2semidirect
11. #13072636C2semidirect
12. #13072635C2semidirect
13. #13072634C2semidirect
14. #13072633C2semidirect
15. #13072632C2semidirect
16. #13072631C2semidirect
17. #13072630C2semidirect
19. D11×#395C2semidirect
20. D11×#395C2semidirect
22. D11×#391C2semidirect
23. D11×#389C2semidirect
26. D11×#387C2semidirect
27. D11×#387C2semidirect
28. D11×#387C2semidirect
31. C11×#2465C2semidirect
36. C2×C4×Q8×C11C22semidirect
38. C2×Q8×Dic11C22semidirect
55. C2×#66940C22semidirect
56. C2×#66940C22semidirect
57. C2×#66940C22semidirect
70. C2×C4×Dic22C22semidirect
71. C2×C4×Dic22C22semidirect
72. C2×C4×Dic22C22semidirect
74. C11×#395C22semidirect
75. C11×#395C22semidirect
77. C11×#391C22semidirect
78. C11×#389C22semidirect
81. C11×#387C22semidirect
82. C11×#387C22semidirect
83. C11×#387C22semidirect
87. #10622843C22semidirect
88. #10622842C22semidirect
89. #10622842C22semidirect
99. #10622598C22semidirect
100. #10622594C22semidirect
101. #10622594C22semidirect
102. #10622594C22semidirect
103. #10622592C22semidirect
104. #10622592C22semidirect
105. #10622592C22semidirect
106. #10622592C22semidirect
107. #10622592C22semidirect
108. #10622592C22semidirect
109. #10622591C22semidirect
110. #10622591C22semidirect
111. #10622591C22semidirect
112. #10622587C22semidirect
113. #10622586C22semidirect
114. #10622585C22semidirect
115. #10622585C22semidirect
136. #10622546C22semidirect
137. #10622546C22semidirect
138. #10622546C22semidirect
139. #10622542C22semidirect
140. #10622541C22semidirect
165. #10622269C22semidirect
166. #10622269C22semidirect
167. #10622269C22semidirect
168. #10622269C22semidirect
169. #10622269C22semidirect
170. #10622269C22semidirect
171. #10622268C22semidirect
172. #10622268C22semidirect
173. #10622268C22semidirect
174. #10622267C22semidirect
175. #10622267C22semidirect
176. #10622267C22semidirect
177. #10622266C22semidirect
178. #10622266C22semidirect
179. #10622266C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622265C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
331. C22⋊C4×D11Q8semidirect
524. C11×C22⋊C4C2×Q8semidirect
534. C22⋊Dic11C2×Q8semidirect
545. (C2×D11)⋊C4C2×Q8semidirect
546. (C2×D11)⋊C4C2×Q8semidirect
606. #2465D11direct (N × H)
779. C2×C4×Q8C2×D11semidirect
822. #395C2×D11semidirect
823. #395C2×D11semidirect
839. #391C2×D11semidirect
847. #389C2×D11semidirect
885. #387C2×D11semidirect
886. #387C2×D11semidirect
887. #387C2×D11semidirect
1182. D11#2465direct (N × H)
1365. C22⋊C4Q8×D11semidirect
1382. C11C2×#2465semidirect

Maximal subgroups

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

subgroupindex
C2×D11×C22⋊Q82
C2×C4×Q8×D112
#130726442
#130726432
#130726422
#130726412
#130726402
#130726392
#130726382
#130726372
#130726362
#130726352
#130726342
#130726332
#130726322
#130726312
#130726302
D11×#3962
D11×#3952
D11×#3932
D11×#3912
D11×#3892
D11×#3882
D11×#3872
D11×#3852
C4×C22⋊C4×D112
C11×#24652
C2×#246511