Finite Group Databasebeta

← #14961150

Subgroups — #14961150

Order 2816.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623124C211yesmaximal, characteristic, complemented
2C2×#10623124C211yesmaximal, characteristic, complemented
3#13076898C211yesmaximal, characteristic, complemented
4#13075521C211yesmaximal, characteristic, complemented
5#13075424C211yesmaximal, characteristic, complemented
6#13075422C211yesmaximal, characteristic, complemented
7#13075383C211yesmaximal, characteristic, complemented
8#13075148C211yesmaximal, characteristic, complemented
9#13075146C211yesmaximal, characteristic, complemented
10#13075122C211yesmaximal, characteristic, complemented
11#13075094C211yesmaximal, characteristic, complemented
12#13075092C211yesmaximal, characteristic, complemented
13#13074918C211yesmaximal, characteristic, complemented
14#13074911C211yesmaximal, characteristic, complemented
15#13074906C211yesmaximal, characteristic, complemented
16#13074868C211yesmaximal, characteristic, complemented
17#13074861C211yesmaximal, characteristic, complemented
18#13074853C211yesmaximal, characteristic, complemented
19#13074846C211yesmaximal, characteristic, complemented
20#13074354C211yesmaximal, characteristic, complemented
21#13074354C211yesmaximal, characteristic, complemented
22#13073800C211yesmaximal, characteristic, complemented
23#13073794C211yesmaximal, characteristic, complemented
24#13073580C211yesmaximal, characteristic, complemented
25#13073574C211yesmaximal, characteristic, complemented
26#13072066C211yesmaximal, characteristic, complemented
27#13072064C211yesmaximal, characteristic, complemented
28#13072055C211yesmaximal, characteristic, complemented
29#13072053C211yesmaximal, characteristic, complemented
30C2×#10622823C211yesmaximal, characteristic, complemented
31C11×#2847C211yesmaximal, characteristic, complemented
32C24×C4×C11C2211yescharacteristic
33C2×C11×#121C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic
36C2×C11×#120C2211yescharacteristic
37C2×C11×#120C2211yescharacteristic
38C2×#67006C2211yescharacteristic
39C2×#67006C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C22×C22⋊Dic11C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic
45C2×#66992C2211yescharacteristic
46C2×#66992C2211yescharacteristic
47C2×#66992C2211yescharacteristic
48C2×#66992C2211yescharacteristic, complemented
49C2×#66991C2211yescharacteristic
50C2×#66991C2211yescharacteristic
51C2×#66989C2211yescharacteristic
52C2×#66989C2211yescharacteristic
53C2×#66988C2211yescharacteristic
54C2×#66988C2211yescharacteristic
55C2×D4×Dic11C2211yescharacteristic
56C2×D4×Dic11C2211yescharacteristic
57C2×#66983C2211yescharacteristic
58C2×#66983C2211yescharacteristic
59C2×#66983C2211yescharacteristic
60C22×Dic11⋊C4C2211yescharacteristic
61C22×Dic11⋊C4C2211yescharacteristic
62#10623124—28no—
63#10623124—28no—
64C2×#66949C2211yescharacteristic, complemented
65C2×#66938C2211yescharacteristic
66C2×#66938C2211yescharacteristic
67C2×#66937C2211yescharacteristic, complemented
68C2×#66936C2211yescharacteristic
69C2×#66936C2211yescharacteristic
70C2×(C22⋊D11)⋊C4C2211yescharacteristic
71C2×(C22⋊D11)⋊C4C2211yescharacteristic
72C2×#66932C2211yescharacteristic
73C2×#66932C2211yescharacteristic
74C2×#66932C2211yescharacteristic
75C2×#66932C2211yescharacteristic
76C2×#66931C2211yescharacteristic
77C2×#66931C2211yescharacteristic
78C2×#66931C2211yescharacteristic, complemented
79C11×#386C2211yescharacteristic
80C11×#386C2211yescharacteristic
81C11×#386C2211yescharacteristic
82C11×#386C2211yescharacteristic
83C11×#386C2211yescharacteristic
84C11×#386C2211yescharacteristic
85C11×#380C2211yescharacteristic
86C11×#380C2211yescharacteristic
87C11×#380C2211yescharacteristic
88#10622836C2211yescharacteristic
89#10622836C2211yescharacteristic
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622836C2211yescharacteristic, complemented
93#10622835C2211yescharacteristic
94#10622835C2211yescharacteristic
95#10622835C2211yescharacteristic
96#10622835C2211yescharacteristic
97#10622835C2211yescharacteristic, complemented
98#10622833C2211yescharacteristic
99#10622833C2211yescharacteristic
100#10622833C2211yescharacteristic, complemented
101#10622826C2211yescharacteristic
102#10622826C2211yescharacteristic
103#10622826C2211yescharacteristic
104#10622826C2211yescharacteristic
105#10622826C2211yescharacteristic
106#10622826C2211yescharacteristic
107#10622825C2211yescharacteristic
108#10622825C2211yescharacteristic
109#10622825C2211yescharacteristic
110#10622823C2211yescharacteristic
111#10622823C2211yescharacteristic
112#10622823C2211yescharacteristic
113#10622823C2211yescharacteristic
114#10622823C2211yescharacteristic
115#10622823C2211yescharacteristic
116#10622823C2211yescharacteristic
117#10622823C2211yescharacteristic
118C2×C11⋊#95C2211yescharacteristic
119C2×C11⋊#95C2211yescharacteristic
120#10622607C2211yescharacteristic, complemented
121#10622607C2211yescharacteristic, complemented
122#10622605C2211yescharacteristic, complemented
123#10622603C2211yescharacteristic, complemented
124#10622602C2211yescharacteristic, complemented
125#10622597C2211yescharacteristic, complemented
126#10622594C2211yescharacteristic, complemented
127#10622593C2211yescharacteristic, complemented
128#10622592C2211yescharacteristic, complemented
129#10622585C2211yescharacteristic, complemented
130#10622585C2211yescharacteristic, complemented
131#10622574C2211yescharacteristic, complemented
132#10622573C2211yescharacteristic, complemented
133#10622572C2211yescharacteristic
134#10622572C2211yescharacteristic
135#10622572C2211yescharacteristic
136#10622572C2211yescharacteristic
137#10622572C2211yescharacteristic, complemented
138#10622572C2211yescharacteristic, complemented
139#10622572C2211yescharacteristic, complemented
140#10622571C2211yescharacteristic
141#10622571C2211yescharacteristic
142#10622571C2211yescharacteristic, complemented
143#10622570C2211yescharacteristic, complemented
144#10622570C2211yescharacteristic, complemented
145#10622569C2211yescharacteristic, complemented
146#10622565C2211yescharacteristic
147#10622565C2211yescharacteristic
148#10622565C2211yescharacteristic
149#10622565C2211yescharacteristic
150#10622565C2211yescharacteristic, complemented
151#10622564C2211yescharacteristic, complemented
152#10622563C2211yescharacteristic, complemented
153#10622562C2211yescharacteristic, complemented
154#10622561C2211yescharacteristic, complemented
155#10622561C2211yescharacteristic, complemented
156#10622561C2211yescharacteristic, complemented
157#10622561C2211yescharacteristic, complemented
158#10622560C2211yescharacteristic, complemented
159#10622559C2211yescharacteristic, complemented
160#10622558C2211yescharacteristic, complemented
161#10622555C2211yescharacteristic
162#10622555C2211yescharacteristic
163#10622555C2211yescharacteristic, complemented
164#10622555C2211yescharacteristic, complemented
165#10622289C2211yescharacteristic, complemented
166#10622289C2211yescharacteristic, complemented
167#10622288C2211yescharacteristic, complemented
168#10622286C2211yescharacteristic, complemented
169#10622285C2211yescharacteristic, complemented
170#10622282C2211yescharacteristic, complemented
171#10622281C2211yescharacteristic, complemented
172#10622280C2211yescharacteristic, complemented
173#10622280C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175#10622274C2211yescharacteristic, complemented
176#10622273C2211yescharacteristic, complemented
177#10622271C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622270C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622269C2211yescharacteristic, complemented
182#10622268C2211yescharacteristic, complemented
183#10622267C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C23×C4×C11—42no—
198C23×C4×C11—42no—
199C23×C4×C11—42no—
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C23×C4×C11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C22×C22⋊D11C2311yescharacteristic
215C22×C22⋊D11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C23×Dic11C2311yescharacteristic
222C22×D44C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×Dic22C2311yescharacteristic
226C22×Dic22C2311yescharacteristic
227C11×#121—42no—
228C11×#121—42no—
229C11×#121—42no—
230C11×#120—24no—
231C11×#120—24no—
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247#67006—24no—
248#67006—24no—
249C2×C22⋊Dic11—42no—
250C2×C22⋊Dic11D418yescomplemented
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
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275#66992—24no—
276#66992—24no—
277#66992—24no—
278#66992—24no—
279#66992—42no—
280#66992—42no—
281#66992—42no—
282#66991—24no—
283#66991—24no—
284#66989—24no—
285#66989—24no—
286#66988—24no—
287#66988—24no—
288D4×Dic11—24no—
289D4×Dic11—24no—
290#66983—42no—
291#66983—42no—
292#66983—42no—
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×C4⋊Dic11C2311yescharacteristic
316C2×Dic11⋊C4—42no—
317C2×Dic11⋊C4—42no—
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×Dic11⋊C4C2311yescharacteristic
336C2×Dic11⋊C4C2311yescharacteristic
337C2×Dic11⋊C4C2311yescharacteristic
338C2×Dic11⋊C4C2311yescharacteristic
339C2×Dic11⋊C4C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342C2×C4×Dic11C2311yescharacteristic
343C2×C4×Dic11C2311yescharacteristic
344#66949—42no—
345#66938—24no—
346#66938—24no—
347#66937—42no—
348#66936—24no—
349#66936—24no—
350(C22⋊D11)⋊C4—24no—
351(C22⋊D11)⋊C4—24no—
352#66932—24no—
353#66932—24no—
354#66932—24no—
355#66932—24no—
356#66931—24no—
357#66931—24no—
358#66931—42no—
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#36738—111nomaximal, Sylow
392C24×C11—22no—
393C24×C11—22no—
394C24×C11—41no—
395C24×C11—41no—
396C24×C11—41no—
397C24×C11—41no—
398C24×C11C2×D414yes—
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C24×C11C2411yescharacteristic
402C24×C11C2411yescharacteristic
403C24×C11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C23×D11C2411yescharacteristic
406C2×D4×C11—22no—
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C2×D4×C11—41no—
423C2×D4×C11—41no—
424C2×D4×C11—41no—
425C2×D4×C11—41no—
426C2×D4×C11—41no—
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—22no—
434C22×C4×C11—22no—
435C22×C4×C11—41no—
436C22×C4×C11—41no—
437C22×C4×C11—41no—
438C22×C4×C11—41no—
439C22×C4×C11—41no—
440C22×C4×C11—41no—
441C22×C4×C11—41no—
442C22×C4×C11—41no—
443C22×C4×C11—41no—
444C22×C4×C11—41no—
445C22×C4×C11—416no—
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
455C22×C4×C11C2411yescharacteristic
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—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C2×C22⋊D11—41no—
475C2×C22⋊D11—41no—
476C2×C22⋊D11—41no—
477C2×C22⋊D11—41no—
478C2×C22⋊D11—41no—
479C2×C22⋊D11—41no—
480C2×C22⋊D11—41no—
481C2×C22⋊D11—41no—
482C2×C22⋊D11—41no—
483C2×C22⋊D11—41no—
484C2×C22⋊D11—41no—
485C2×C22⋊D11—41no—
486C22×Dic11—22no—
487C22×Dic11—22no—
488C22×Dic11—22no—
489C22×Dic11—22no—
490C22×Dic11—41no—
491C22×Dic11—41no—
492C22×Dic11—41no—
493C22×Dic11—41no—
494C22×Dic11—41no—
495C22×Dic11—41no—
496C22×Dic11—41no—
497C22×Dic11—41no—
498C22×Dic11—41no—
499C22×Dic11—41no—
500C22×Dic11—41no—
501C22×Dic11—41no—
502C22×Dic11C2×D414yes—
503C22×Dic11C2×D414yes—
504C22×Dic11C2411yescharacteristic
505C22×Dic11C2411yescharacteristic
506C22×Dic11C2411yescharacteristic
507C22×Dic11C2411yescharacteristic
508C22×Dic11C2411yescharacteristic
509C22×Dic11C2411yescharacteristic
510C22×Dic11C2411yescharacteristic
511C22×Dic11C2411yescharacteristic
512C22×Dic11C2411yescharacteristic
513C22×Dic11C2411yescharacteristic
514C22×Dic11C2411yescharacteristic
515C22×Dic11C2411yescharacteristic
516C22×Dic11C2411yescharacteristic
517C22×Dic11C2411yescharacteristic
518C2×D44—22no—
519C2×D44—41no—
520C2×D44—41no—
521C2×C4×D11—22no—
522C2×C4×D11—22no—
523C2×C4×D11—41no—
524C2×C4×D11—41no—
525C2×C4×D11—41no—
526C2×C4×D11—41no—
527C2×Dic22—22no—
528C2×Dic22—22no—
529C2×Dic22—41no—
530C2×Dic22—41no—
531C2×Dic22—41no—
532C2×Dic22—41no—
533C11×C4⋊C4—22no—
534C11×C4⋊C4—41no—
535C11×C4⋊C4—41no—
536C11×C22⋊C4—22no—
537C11×C22⋊C4—22no—
538C11×C22⋊C4—22no—
539C11×C22⋊C4—22no—
540C11×C22⋊C4—22no—
541C11×C22⋊C4—22no—
542C11×C22⋊C4—22no—
543C11×C22⋊C4—22no—
544C11×C22⋊C4—41no—
545C11×C22⋊C4—41no—
546C11×C22⋊C4—41no—
547C11×C22⋊C4—41no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—22no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
554C22⋊Dic11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—41no—
559C22⋊Dic11—41no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562C22⋊Dic11—41no—
563C22⋊Dic11—41no—
564C22⋊Dic11—41no—
565C22⋊Dic11—41no—
566C22⋊Dic11—41no—
567C22⋊Dic11—41no—
568C22⋊Dic11C2×D414yes—
569C22⋊Dic11C2×D414yes—
570C22⋊Dic11C2×D414yes—
571C22⋊Dic11C2×D414yes—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—22no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4—41no—
580(C2×D11)⋊C4—41no—
581(C2×D11)⋊C4—41no—
582(C2×D11)⋊C4—41no—
583(C2×D11)⋊C4—41no—
584(C2×D11)⋊C4—41no—
585(C2×D11)⋊C4—41no—
586(C2×D11)⋊C4—41no—
587(C2×D11)⋊C4—41no—
588C4⋊Dic11—22no—
589C4⋊Dic11—22no—
590C4⋊Dic11—22no—
591C4⋊Dic11—22no—
592C4⋊Dic11—22no—
593C4⋊Dic11—41no—
594C4⋊Dic11—41no—
595Dic11⋊C4—22no—
596Dic11⋊C4—22no—
597Dic11⋊C4—22no—
598Dic11⋊C4—22no—
599Dic11⋊C4—22no—
600Dic11⋊C4—22no—
601Dic11⋊C4—22no—
602Dic11⋊C4—22no—
603Dic11⋊C4—22no—
604Dic11⋊C4—22no—
605Dic11⋊C4—22no—
606Dic11⋊C4—22no—
607Dic11⋊C4—41no—
608Dic11⋊C4—41no—
609Dic11⋊C4—41no—
610Dic11⋊C4—41no—
611Dic11⋊C4—41no—
612Dic11⋊C4—41no—
613Dic11⋊C4—41no—
614Dic11⋊C4—41no—
615Dic11⋊C4—41no—
616Dic11⋊C4—41no—
617C4×Dic11—22no—
618C4×Dic11—22no—
619C4×Dic11—22no—
620C4×Dic11—22no—
621C2×#538—111no—
622C2×#538—111no—
623#2847—111no—
624#2847D1111yescharacteristic, complemented
625#2722—111no—
626#2715—111no—
627#2715—111no—
628#2712—111no—
629#2695—111no—
630#2695—111no—
631#2693—111no—
632#2691—111no—
633#2691—111no—
634#2676—111no—
635#2676—111no—
636#2675—111no—
637#2672—111no—
638#2672—111no—
639#2671—111no—
640#2671—111no—
641#2617—111no—
642#2617—111no—
643#2564—111no—
644#2564—111no—
645#2543—111no—
646#2543—111no—
647#2417—111no—
648#2417—111no—
649#2416—111no—
650#2416—111no—
651C2×#385—111no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—28no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11—21no—
675C23×C11—21no—
676C23×C11—21no—
677C23×C11—21no—
678C23×C11—21no—
679C23×C11—21no—
680C23×C11—21no—
681C23×C11—21no—
682C23×C11—21no—
683C23×C11—44no—
684C23×C11—44no—
685C23×C11—44no—
686C23×C11—44no—
687C23×C11—44no—
688C23×C11—44no—
689C23×C11C22×D412yes—
690C23×C11C22×D412yes—
691C23×C11C22×D412yes—
692C23×C11H(5,𝔽2)12yes—
693C23×C112−1+412yes—
694C23×C11C2511yescharacteristic
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—21no—
703C22×D11—21no—
704C22×D11—21no—
705C22×D11—21no—
706C22×D11—21no—
707C22×D11—21no—
708C22×D11—21no—
709D4×C11—44no—
710D4×C11—44no—
711D4×C11—82no—
712D4×C11—82no—
713D4×C11—82no—
714D4×C11—82no—
715D4×C11—82no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—44no—
745C2×C4×C11—44no—
746C2×C4×C11—44no—
747C2×C4×C11—44no—
748C2×C4×C11—44no—
749C2×C4×C11—44no—
750C2×C4×C11H(5,𝔽2)12yes—
751C2×C4×C11H(5,𝔽2)12yes—
752C22⋊D11—44no—
753C22⋊D11—44no—
754C22⋊D11—82no—
755C22⋊D11—82no—
756C22⋊D11—82no—
757C22⋊D11—82no—
758C22⋊D11—82no—
759C22⋊D11—82no—
760C22⋊D11—82no—
761C22⋊D11—82no—
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—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—44no—
801C2×Dic11—44no—
802C2×Dic11—82no—
803C2×Dic11—82no—
804C2×Dic11—82no—
805C2×Dic11—82no—
806C2×Dic11C22×D412yes—
807C2×Dic11C22×D412yes—
808C2×Dic11C22×D412yes—
809C2×Dic11C22×D412yes—
810D44—82no—
811C4×D11—82no—
812C4×D11—82no—
813Dic22—82no—
814Dic22—82no—
815C24×C4C2×D1111yescharacteristic
816#538—228no—
817#538—228no—
818C2×#126—111no—
819C2×#126—111no—
820C2×#126—111no—
821C2×#126—111no—
822C2×#124—111no—
823C2×#124—111no—
824C2×#124—111no—
825C2×#124—111no—
826C2×#123—111no—
827C2×#123—111no—
828C2×#123—111no—
829C2×#123—111no—
830C2×C22⋊Q8—111no—
831C2×C22⋊Q8—111no—
832C2×C22⋊Q8—111no—
833C2×C22⋊Q8—111no—
834C2×#121—111no—
835C2×#121—111no—
836C2×#121—111no—
837C2×#121—111no—
838C2×#121—111no—
839C2×#121—111no—
840C2×#121—111no—
841C2×#121—111no—
842C2×#121—111no—
843C2×#121—111no—
844C2×#121—111no—
845C2×#121—111no—
846C2×#121—111no—
847C2×#121C2×D1111yescharacteristic
848C2×#121C2×D1111yescharacteristic
849C2×#121C2×D1111yescharacteristic
850C2×#120—111no—
851C2×#120—111no—
852C2×#120C2×D1111yescharacteristic
853C2×#120C2×D1111yescharacteristic
854C2×C4×D4—111no—
855C2×C4×D4—111no—
856C2×C4×D4—111no—
857C2×C4×D4—111no—
858C22×C4⋊C4—111no—
859C22×C4⋊C4—111no—
860C22×C22⋊C4—111no—
861C22×C22⋊C4—111no—
862#400—111no—
863#400—111no—
864#399—111no—
865#399—111no—
866#398—111no—
867#398—111no—
868#398—111no—
869#398—111no—
870#398—111no—
871#398—111no—
872#397—111no—
873#397—111no—
874#397—111no—
875#397—111no—
876#397—111no—
877#397—111no—
878#396—111no—
879#396—111no—
880#396—111no—
881#396—111no—
882#396—111no—
883#396—111no—
884#396—111no—
885#396—111no—
886#395—111no—
887#395—111no—
888#394—111no—
889#394—111no—
890#394—111no—
891#394—111no—
892#394—111no—
893#394—111no—
894#394—111no—
895#394—111no—
896#394—111no—
897#394—111no—
898#394—111no—
899#394—111no—
900#394—111no—
901#394—111no—
902#393—111no—
903#393—111no—
904#392—111no—
905#392—111no—
906#392—111no—
907#392—111no—
908#392—111no—
909#392—111no—
910#391—111no—
911#391—111no—
912#390—111no—
913#390—111no—
914#389—111no—
915#389—111no—
916#389—111no—
917#389—111no—
918#388—111no—
919#388—111no—
920#388—111no—
921#388—111no—
922#387—111no—
923#387—111no—
924#387—111no—
925#387—111no—
926#386—111no—
927#386—111no—
928#386—111no—
929#386—111no—
930#386—111no—
931#386—111no—
932#386—111no—
933#386—111no—
934#386—111no—
935#386—111no—
936#386—111no—
937#386—111no—
938#386—111no—
939#386—111no—
940#386C2×D1111yescharacteristic
941#386C2×D1111yescharacteristic
942#386C2×D1111yescharacteristic
943#386C2×D1111yescharacteristic
944#386C2×D1111yescharacteristic
945#386C2×D1111yescharacteristic
946#385—111no—
947#385—111no—
948#385—111no—
949#385—111no—
950#385—111no—
951#385—111no—
952#385—111no—
953#385—111no—
954#385—111no—
955#385—111no—
956#385—111no—
957#385—111no—
958#380—111no—
959#380—111no—
960#380—111no—
961#380—111no—
962#380—111no—
963#380—111no—
964#380—111no—
965#380—111no—
966#380—111no—
967#380C2×D1111yescharacteristic
968#380C2×D1111yescharacteristic
969#380C2×D1111yescharacteristic
970C2×#95—111no—
971C2×#95—111no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—22no—
976C22×C11—22no—
977C22×C11—22no—
978C22×C11—22no—
979C22×C11—22no—
980C22×C11—22no—
981C22×C11—22no—
982C22×C11—22no—
983C22×C11—22no—
984C22×C11—416no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11—41no—
1000C22×C11—41no—
1001C22×C11—41no—
1002C22×C11—41no—
1003C22×C11—41no—
1004C22×C11—41no—
1005C22×C11—41no—
1006C22×C11—41no—
1007C22×C11#53714yes—
1008C22×C11C23×D411yescharacteristic
1009C22×C11C2×H(5,𝔽2)11yescharacteristic
1010C22×C11C2×H(5,𝔽2)11yescharacteristic
1011C22×C11C2×H(5,𝔽2)11yescharacteristic
1012C22×C11C2×2−1+411yescharacteristic
1013C22×C11#58511yescharacteristic
1014C22×C11#58511yescharacteristic
1015C2×D11—41no—
1016C2×D11—41no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C4×C11—22no—
1030C4×C11—22no—
1031C4×C11—41no—
1032C4×C11—41no—
1033C4×C11—41no—
1034C4×C11—41no—
1035C4×C11—41no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039Dic11—22no—
1040Dic11—22no—
1041Dic11—22no—
1042Dic11—22no—
1043Dic11—41no—
1044Dic11—41no—
1045Dic11—41no—
1046Dic11—41no—
1047Dic11—41no—
1048Dic11—41no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053C25C22×D1111yescharacteristic
1054C22×Q8—111no—
1055C22×Q8—111no—
1056C22×D4—111no—
1057C22×D4—111no—
1058C22×D4—111no—
1059C22×D4—111no—
1060C22×D4—111no—
1061C22×D4—111no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4C22×D1111yescharacteristic
1068C22×D4C22×D1111yescharacteristic
1069C22×D4C22×D1111yescharacteristic
1070C22×D4C22×D1111yescharacteristic
1071C22×D4C22×D1111yescharacteristic
1072C22×D4C22×D1111yescharacteristic
1073C22×D4C22×D1111yescharacteristic
1074C23×C4—42no—
1075C23×C4—42no—
1076C23×C4—42no—
1077C23×C4—111no—
1078C23×C4—111no—
1079C23×C4—111no—
1080C23×C4—111no—
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—111no—
1085C23×C4C22×D1111yescharacteristic
1086C23×C4C22×D1111yescharacteristic
1087C23×C4C22×D1111yescharacteristic
1088C23×C4C22×D1111yescharacteristic
1089C23×C4C22×D1111yescharacteristic
1090C23×C4C22×D1111yescharacteristic
1091#126—224no—
1092#126—224no—
1093#126—224no—
1094#126—224no—
1095#124—224no—
1096#124—224no—
1097#124—224no—
1098#124—224no—
1099#123—224no—
1100#123—224no—
1101#123—224no—
1102#123—224no—
1103C22⋊Q8—224no—
1104C22⋊Q8—224no—
1105C22⋊Q8—442no—
1106C22⋊Q8—442no—
1107#121—42no—
1108#121—42no—
1109#121—42no—
1110#121—224no—
1111#121—224no—
1112#121—224no—
1113#121—224no—
1114#121—224no—
1115#121—224no—
1116#121—442no—
1117#121—442no—
1118#121—442no—
1119#121—442no—
1120#121—442no—
1121#121—442no—
1122#121—442no—
1123#120—24no—
1124#120—24no—
1125#120—224no—
1126#120—224no—
1127C4×D4—224no—
1128C4×D4—224no—
1129C4×D4—224no—
1130C4×D4—224no—
1131C2×C4⋊C4—111no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—111no—
1136C2×C4⋊C4—111no—
1137C2×C4⋊C4—111no—
1138C2×C4⋊C4—111no—
1139C2×C4⋊C4—111no—
1140C2×C4⋊C4—111no—
1141C2×C4⋊C4—111no—
1142C2×C4⋊C4—111no—
1143C2×C4⋊C4—111no—
1144C2×C4⋊C4—111no—
1145C2×C4⋊C4—111no—
1146C2×C4⋊C4—111no—
1147C2×C4⋊C4—111no—
1148C2×C4⋊C4—111no—
1149C2×C4⋊C4—111no—
1150C2×C4⋊C4—111no—
1151C2×C4⋊C4—111no—
1152C2×C4⋊C4—111no—
1153C2×C4⋊C4—111no—
1154C2×C4⋊C4—111no—
1155C2×C4⋊C4—111no—
1156C2×C4⋊C4—111no—
1157C2×C4⋊C4—111no—
1158C2×C4⋊C4—111no—
1159C2×C4⋊C4—111no—
1160C2×C4⋊C4—442no—
1161C2×C4⋊C4—442no—
1162C2×C4⋊C4C22×D1111yescharacteristic
1163C2×C4⋊C4C22×D1111yescharacteristic
1164C2×C4⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4—118no—
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—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—111no—
1187C2×C22⋊C4—111no—
1188C2×C22⋊C4—111no—
1189C2×C22⋊C4—111no—
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—111no—
1192C2×C22⋊C4—111no—
1193C2×C22⋊C4—111no—
1194C2×C22⋊C4—111no—
1195C2×C22⋊C4—111no—
1196C2×C22⋊C4—111no—
1197C2×C22⋊C4—111no—
1198C2×C22⋊C4—111no—
1199C2×C22⋊C4—111no—
1200C2×C22⋊C4—111no—
1201C2×C22⋊C4—111no—
1202C2×C22⋊C4—111no—
1203C2×C22⋊C4—111no—
1204C2×C22⋊C4—111no—
1205C2×C22⋊C4—111no—
1206C2×C22⋊C4—442no—
1207C2×C22⋊C4C22×D1111yescharacteristic
1208C2×C22⋊C4C22×D1111yescharacteristic
1209C2×C22⋊C4C22×D1111yescharacteristic
1210C2×C22⋊C4C22×D1111yescharacteristic
1211C2×C22⋊C4C22×D1111yescharacteristic
1212C2×C22⋊C4C22×D1111yescharacteristic
1213C2×C22⋊C4C22×D1111yescharacteristic
1214C2×C22⋊C4C22×D1111yescharacteristic
1215C2×C22⋊C4C22×D1111yescharacteristic
1216C2×C22⋊C4C22×D1111yescharacteristic
1217C2×C22⋊C4C22×D1111yescharacteristic
1218C2×C22⋊C4C22×D1111yescharacteristic
1219C2×C42—111no—
1220C2×C42—111no—
1221C2×C42—111no—
1222C2×C42—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#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239#95—111no—
1240#95—111no—
1241#95—111no—
1242#95—111no—
1243#95—111no—
1244#95—111no—
1245#95—111no—
1246#95—111no—
1247#95—111no—
1248#95—111no—
1249#95C22×D1111yescharacteristic
1250#95C22×D1111yescharacteristic
1251#95C22×D1111yescharacteristic
1252#95C22×D1111yescharacteristic
1253#95C22×D1111yescharacteristic
1254#95C22×D1111yescharacteristic
1255C2×C11—24no—
1256C2×C11—42no—
1257C2×C11—42no—
1258C2×C11—81no—
1259C2×C11—81no—
1260C2×C11C2×#53711yescharacteristic
1261C2×C11#349611yescharacteristic
1262C2×C11#349611yescharacteristic
1263C2×C11#353211yescharacteristic
1264C2×C11#353311yescharacteristic
1265C2×C11#354111yescharacteristic
1266C2×C11#354111yescharacteristic
1267D11—81no—
1268D11—81no—
1269C24—22no—
1270C24—22no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—111no—
1276C24—111no—
1277C24D4×D1114yes—
1278C24C23×D1111yescharacteristic
1279C24C23×D1111yescharacteristic
1280C24C23×D1111yescharacteristic
1281C24C23×D1111yescharacteristic
1282C24C23×D1111yescharacteristic
1283C2×Q8—222no—
1284C2×Q8—222no—
1285C2×Q8—441no—
1286C2×Q8—441no—
1287C2×Q8—441no—
1288C2×Q8—441no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—222no—
1311C2×D4—222no—
1312C2×D4—222no—
1313C2×D4—222no—
1314C2×D4—222no—
1315C2×D4—222no—
1316C2×D4—222no—
1317C2×D4—222no—
1318C2×D4—222no—
1319C2×D4—222no—
1320C2×D4—222no—
1321C2×D4—222no—
1322C2×D4—222no—
1323C2×D4—441no—
1324C2×D4—441no—
1325C2×D4—441no—
1326C2×D4—441no—
1327C2×D4—441no—
1328C2×D4—441no—
1329C2×D4—441no—
1330C2×D4—441no—
1331C2×D4—441no—
1332C2×D4—441no—
1333C2×D4—441no—
1334C2×D4—441no—
1335C2×D4—441no—
1336C2×D4—441no—
1337C2×D4—441no—
1338C2×D4—441no—
1339C2×D4—441no—
1340C2×D4—441no—
1341C2×D4—441no—
1342C2×D4—441no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—416no—
1362C22×C4—111no—
1363C22×C4—111no—
1364C22×C4—111no—
1365C22×C4—111no—
1366C22×C4—114no—
1367C22×C4—114no—
1368C22×C4—111no—
1369C22×C4—111no—
1370C22×C4—111no—
1371C22×C4—111no—
1372C22×C4—111no—
1373C22×C4—111no—
1374C22×C4—111no—
1375C22×C4—111no—
1376C22×C4—111no—
1377C22×C4—111no—
1378C22×C4—222no—
1379C22×C4—222no—
1380C22×C4—222no—
1381C22×C4—222no—
1382C22×C4—222no—
1383C22×C4—222no—
1384C22×C4—441no—
1385C22×C4—441no—
1386C22×C4—441no—
1387C22×C4—441no—
1388C22×C4—441no—
1389C22×C4—441no—
1390C22×C4—441no—
1391C22×C4—441no—
1392C22×C4—441no—
1393C22×C4—441no—
1394C22×C4—441no—
1395C22×C4—441no—
1396C22×C4—441no—
1397C22×C4—441no—
1398C22×C4—441no—
1399C22×C4—441no—
1400C22×C4C23×D1111yescharacteristic
1401C22×C4C23×D1111yescharacteristic
1402C22×C4C23×D1111yescharacteristic
1403C22×C4C23×D1111yescharacteristic
1404C22×C4C23×D1111yescharacteristic
1405C22×C4C23×D1111yescharacteristic
1406C22×C4C23×D1111yescharacteristic
1407C22×C4C23×D1111yescharacteristic
1408C22×C4C23×D1111yescharacteristic
1409C22×C4C23×D1111yescharacteristic
1410C4⋊C4—22no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—222no—
1414C4⋊C4—222no—
1415C4⋊C4—222no—
1416C4⋊C4—222no—
1417C4⋊C4—222no—
1418C4⋊C4—222no—
1419C4⋊C4—222no—
1420C4⋊C4—222no—
1421C4⋊C4—222no—
1422C4⋊C4—222no—
1423C4⋊C4—222no—
1424C4⋊C4—222no—
1425C4⋊C4—222no—
1426C4⋊C4—222no—
1427C4⋊C4—222no—
1428C4⋊C4—222no—
1429C4⋊C4—222no—
1430C4⋊C4—441no—
1431C4⋊C4—441no—
1432C4⋊C4—441no—
1433C4⋊C4—441no—
1434C4⋊C4—441no—
1435C4⋊C4—441no—
1436C4⋊C4—441no—
1437C4⋊C4—441no—
1438C4⋊C4—441no—
1439C4⋊C4—441no—
1440C4⋊C4—441no—
1441C4⋊C4—441no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—114no—
1455C22⋊C4—114no—
1456C22⋊C4—114no—
1457C22⋊C4—114no—
1458C22⋊C4—222no—
1459C22⋊C4—222no—
1460C22⋊C4—222no—
1461C22⋊C4—222no—
1462C22⋊C4—222no—
1463C22⋊C4—222no—
1464C22⋊C4—222no—
1465C22⋊C4—222no—
1466C22⋊C4—222no—
1467C22⋊C4—222no—
1468C22⋊C4—222no—
1469C22⋊C4—222no—
1470C22⋊C4—222no—
1471C22⋊C4—222no—
1472C22⋊C4—222no—
1473C22⋊C4—222no—
1474C22⋊C4—441no—
1475C22⋊C4—441no—
1476C22⋊C4—441no—
1477C22⋊C4—441no—
1478C22⋊C4—441no—
1479C22⋊C4—441no—
1480C22⋊C4—441no—
1481C22⋊C4—441no—
1482C22⋊C4—441no—
1483C22⋊C4—441no—
1484C22⋊C4—441no—
1485C22⋊C4—441no—
1486C22⋊C4—441no—
1487C22⋊C4—441no—
1488C22⋊C4—441no—
1489C22⋊C4—441no—
1490C22⋊C4—441no—
1491C22⋊C4—441no—
1492C22⋊C4—441no—
1493C22⋊C4—441no—
1494C42—222no—
1495C42—222no—
1496C42—222no—
1497C42—222no—
1498C11#3673811yescharacteristic, complemented, Sylow
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—28no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—44no—
1531C23—44no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23—221no—
1543C23—221no—
1544C23—221no—
1545C23—221no—
1546C23—221no—
1547C23—221no—
1548C23—221no—
1549C23—221no—
1550C23C2×D4×D1112yes—
1551C23C2×D4×D1112yes—
1552C23C2×D4×D1112yes—
1553C23#6703712yes—
1554C23#6704312yes—
1555C23C24×D1111yescharacteristic
1556Q8—882no—
1557Q8—882no—
1558D4—44no—
1559D4—44no—
1560D4—82no—
1561D4—82no—
1562D4—82no—
1563D4—82no—
1564D4—82no—
1565D4—444no—
1566D4—444no—
1567D4—882no—
1568D4—882no—
1569D4—882no—
1570D4—882no—
1571D4—882no—
1572D4—882no—
1573D4—882no—
1574D4—882no—
1575D4—882no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—112no—
1611C2×C4—112no—
1612C2×C4—112no—
1613C2×C4—112no—
1614C2×C4—221no—
1615C2×C4—221no—
1616C2×C4—221no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—221no—
1651C2×C4—221no—
1652C2×C4—444no—
1653C2×C4—444no—
1654C2×C4—882no—
1655C2×C4—882no—
1656C2×C4—882no—
1657C2×C4—882no—
1658C2×C4—882no—
1659C2×C4—882no—
1660C2×C4#6703712yes—
1661C2×C4#6703712yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—416no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—441no—
1698C22—441no—
1699C22—441no—
1700C22—441no—
1701C22—441no—
1702C22—441no—
1703C22—441no—
1704C22—441no—
1705C22—441no—
1706C22—441no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22#1062312814yes—
1712C22C22×D4×D1111yescharacteristic
1713C22C2×#6703711yescharacteristic
1714C22C2×#6703711yescharacteristic
1715C22C2×#6703711yescharacteristic
1716C22C2×#6704311yescharacteristic
1717C22#1062345311yescharacteristic
1718C22#1062345311yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—222no—
1730C4—222no—
1731C4—222no—
1732C4—222no—
1733C4—441no—
1734C4—441no—
1735C4—441no—
1736C4—441no—
1737C4—441no—
1738C4—441no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C2—24no—
1744C2—42no—
1745C2—42no—
1746C2—81no—
1747C2—81no—
1748C2—881no—
1749C2—881no—
1750C2C2×#1062312811yescharacteristic
1751C2#1308237311yescharacteristic
1752C2#1308237311yescharacteristic
1753C2#1308277111yescharacteristic
1754C2#1308278011yescharacteristic
1755C2#1308290111yescharacteristic
1756C2#1308290911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2847C2
hypercenter#2847D11
hypocenterC11#36738
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. C2×#10623124C2semidirect
2. C2×#10623124C2semidirect
3. #13076898C2semidirect
4. #13075521C2semidirect
5. #13075424C2semidirect
6. #13075422C2semidirect
7. #13075383C2semidirect
8. #13075148C2semidirect
9. #13075146C2semidirect
10. #13075122C2semidirect
11. #13075094C2semidirect
12. #13075092C2semidirect
13. #13074918C2semidirect
14. #13074911C2semidirect
15. #13074906C2semidirect
16. #13074868C2semidirect
17. #13074861C2semidirect
18. #13074853C2semidirect
19. #13074846C2semidirect
20. #13074354C2semidirect
21. #13074354C2semidirect
22. #13073800C2semidirect
23. #13073794C2semidirect
24. #13073580C2semidirect
25. #13073574C2semidirect
26. #13072066C2semidirect
27. #13072064C2semidirect
28. #13072055C2semidirect
29. #13072053C2semidirect
30. C2×#10622823C2semidirect
31. C11×#2847C2semidirect
48. C2×#66992C22semidirect
64. C2×#66949C22semidirect
67. C2×#66937C22semidirect
78. C2×#66931C22semidirect
92. #10622836C22semidirect
97. #10622835C22semidirect
100. #10622833C22semidirect
120. #10622607C22semidirect
121. #10622607C22semidirect
122. #10622605C22semidirect
123. #10622603C22semidirect
124. #10622602C22semidirect
125. #10622597C22semidirect
126. #10622594C22semidirect
127. #10622593C22semidirect
128. #10622592C22semidirect
129. #10622585C22semidirect
130. #10622585C22semidirect
131. #10622574C22semidirect
132. #10622573C22semidirect
137. #10622572C22semidirect
138. #10622572C22semidirect
139. #10622572C22semidirect
142. #10622571C22semidirect
143. #10622570C22semidirect
144. #10622570C22semidirect
145. #10622569C22semidirect
150. #10622565C22semidirect
151. #10622564C22semidirect
152. #10622563C22semidirect
153. #10622562C22semidirect
154. #10622561C22semidirect
155. #10622561C22semidirect
156. #10622561C22semidirect
157. #10622561C22semidirect
158. #10622560C22semidirect
159. #10622559C22semidirect
160. #10622558C22semidirect
163. #10622555C22semidirect
164. #10622555C22semidirect
165. #10622289C22semidirect
166. #10622289C22semidirect
167. #10622288C22semidirect
168. #10622286C22semidirect
169. #10622285C22semidirect
170. #10622282C22semidirect
171. #10622281C22semidirect
172. #10622280C22semidirect
173. #10622280C22semidirect
174. #10622278C22semidirect
175. #10622274C22semidirect
176. #10622273C22semidirect
177. #10622271C22semidirect
178. #10622270C22semidirect
179. #10622270C22semidirect
180. #10622270C22semidirect
181. #10622269C22semidirect
182. #10622268C22semidirect
183. #10622267C22semidirect
184. #10622265C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
250. C2×C22⋊Dic11D4semidirect
624. #2847D11semidirect
1498. C11#36738semidirect

Maximal subgroups

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

subgroupindex
C2×#106231242
#130768982
#130755212
#130754242
#130754222
#130753832
#130751482
#130751462
#130751222
#130750942
#130750922
#130749182
#130749112
#130749062
#130748682
#130748612
#130748532
#130748462
#130743542
#130738002
#130737942
#130735802
#130735742
#130720662
#130720642
#130720552
#130720532
C2×#106228232
C11×#28472
#3673811