Finite Group Databasebeta

← #14961300

Subgroups — #14961300

Order 2816.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623134C211yesmaximal, characteristic, complemented
2C2×#10623124C211yesmaximal, characteristic, complemented
3#13076942C211yesmaximal, characteristic, complemented
4#13076913C211yesmaximal, characteristic, complemented
5#13075538C211yesmaximal, characteristic, complemented
6#13075449C211yesmaximal, characteristic, complemented
7#13075422C211yesmaximal, characteristic, complemented
8#13075381C211yesmaximal, characteristic, complemented
9#13075220C211yesmaximal, characteristic, complemented
10#13075192C211yesmaximal, characteristic, complemented
11#13075167C211yesmaximal, characteristic, complemented
12#13075096C211yesmaximal, characteristic, complemented
13#13075046C211yesmaximal, characteristic, complemented
14#13075020C211yesmaximal, characteristic, complemented
15#13075011C211yesmaximal, characteristic, complemented
16#13074994C211yesmaximal, characteristic, complemented
17#13074911C211yesmaximal, characteristic, complemented
18#13074902C211yesmaximal, characteristic, complemented
19#13074838C211yesmaximal, characteristic, complemented
20#13074763C211yesmaximal, characteristic, complemented
21#13074741C211yesmaximal, characteristic, complemented
22#13074299C211yesmaximal, characteristic, complemented
23#13074255C211yesmaximal, characteristic, complemented
24#13074231C211yesmaximal, characteristic, complemented
25#13074209C211yesmaximal, characteristic, complemented
26#13074100C211yesmaximal, characteristic, complemented
27#13073771C211yesmaximal, characteristic, complemented
28#13072040C211yesmaximal, characteristic, complemented
29#13071997C211yesmaximal, characteristic, complemented
30#13071056C211yesmaximal, characteristic, complemented
31C11×#2668C211yesmaximal, characteristic, complemented
32C2×C11×#121C2211yescharacteristic
33C2×C11×#121C2211yescharacteristic
34C2×C11×#120C2211yescharacteristic
35C2×C11×#120C2211yescharacteristic
36C2×#67006C2211yescharacteristic
37C22×C22⋊Dic11C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66991C2211yescharacteristic
41C2×#66989C2211yescharacteristic
42C2×#66989C2211yescharacteristic
43C2×#66989C2211yescharacteristic
44C2×#66989C2211yescharacteristic, complemented
45C2×#66988C2211yescharacteristic
46C2×#66988C2211yescharacteristic
47C2×#66988C2211yescharacteristic, complemented
48C2×D4×Dic11C2211yescharacteristic
49C2×#66979C2211yescharacteristic, complemented
50C2×#66977C2211yescharacteristic, complemented
51C22×C4×Dic11C2211yescharacteristic, complemented
52#10623134—28no—
53#10623124—28no—
54C2×#66949C2211yescharacteristic, complemented
55C2×#66941C2211yescharacteristic, complemented
56C2×#66940C2211yescharacteristic, complemented
57C2×#66938C2211yescharacteristic
58C2×#66938C2211yescharacteristic
59C2×#66936C2211yescharacteristic
60C2×(C22⋊D11)⋊C4C2211yescharacteristic
61C2×#66932C2211yescharacteristic
62C2×#66932C2211yescharacteristic
63C2×#66932C2211yescharacteristic
64C2×#66932C2211yescharacteristic, complemented
65C2×#66931C2211yescharacteristic
66C2×#66931C2211yescharacteristic
67C2×#66931C2211yescharacteristic, complemented
68C2×#66930C2211yescharacteristic
69C11×#399C2211yescharacteristic
70C11×#397C2211yescharacteristic
71C11×#397C2211yescharacteristic
72C11×#394C2211yescharacteristic
73C11×#394C2211yescharacteristic
74C11×#392C2211yescharacteristic
75C11×#386C2211yescharacteristic
76C11×#386C2211yescharacteristic
77C11×#386C2211yescharacteristic
78C11×#386C2211yescharacteristic
79C11×#379C2211yescharacteristic
80#10622860C2211yescharacteristic
81#10622860C2211yescharacteristic
82#10622836C2211yescharacteristic
83#10622836C2211yescharacteristic
84#10622836C2211yescharacteristic
85#10622836C2211yescharacteristic, complemented
86#10622835C2211yescharacteristic
87#10622835C2211yescharacteristic
88#10622835C2211yescharacteristic
89#10622835C2211yescharacteristic
90#10622835C2211yescharacteristic
91#10622834C2211yescharacteristic
92#10622834C2211yescharacteristic
93#10622834C2211yescharacteristic
94#10622833C2211yescharacteristic
95#10622833C2211yescharacteristic
96#10622833C2211yescharacteristic
97#10622833C2211yescharacteristic
98#10622833C2211yescharacteristic, complemented
99#10622826C2211yescharacteristic, complemented
100#10622826C2211yescharacteristic, complemented
101#10622825C2211yescharacteristic, complemented
102#10622823C2211yescharacteristic, complemented
103#10622823C2211yescharacteristic, complemented
104#10622606C2211yescharacteristic, complemented
105#10622602C2211yescharacteristic, complemented
106#10622595C2211yescharacteristic, complemented
107#10622594C2211yescharacteristic, complemented
108#10622594C2211yescharacteristic, complemented
109#10622592C2211yescharacteristic, complemented
110#10622586C2211yescharacteristic, complemented
111#10622586C2211yescharacteristic, complemented
112#10622586C2211yescharacteristic, complemented
113#10622574C2211yescharacteristic
114#10622574C2211yescharacteristic
115#10622574C2211yescharacteristic
116#10622574C2211yescharacteristic, complemented
117#10622572C2211yescharacteristic
118#10622572C2211yescharacteristic
119#10622571C2211yescharacteristic, complemented
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic
123#10622570C2211yescharacteristic, complemented
124#10622569C2211yescharacteristic, complemented
125#10622566C2211yescharacteristic, complemented
126#10622565C2211yescharacteristic
127#10622565C2211yescharacteristic
128#10622565C2211yescharacteristic
129#10622565C2211yescharacteristic
130#10622565C2211yescharacteristic, complemented
131#10622565C2211yescharacteristic, complemented
132#10622564C2211yescharacteristic
133#10622564C2211yescharacteristic
134#10622564C2211yescharacteristic
135#10622564C2211yescharacteristic
136#10622564C2211yescharacteristic, complemented
137#10622563C2211yescharacteristic
138#10622562C2211yescharacteristic
139#10622561C2211yescharacteristic
140#10622561C2211yescharacteristic
141#10622561C2211yescharacteristic
142#10622561C2211yescharacteristic, complemented
143#10622560C2211yescharacteristic
144#10622560C2211yescharacteristic
145#10622560C2211yescharacteristic
146#10622560C2211yescharacteristic
147#10622560C2211yescharacteristic
148#10622560C2211yescharacteristic, complemented
149#10622559C2211yescharacteristic, complemented
150#10622558C2211yescharacteristic
151#10622557C2211yescharacteristic
152#10622557C2211yescharacteristic
153#10622557C2211yescharacteristic
154#10622557C2211yescharacteristic
155#10622557C2211yescharacteristic
156#10622557C2211yescharacteristic
157#10622557C2211yescharacteristic
158#10622557C2211yescharacteristic
159#10622557C2211yescharacteristic, complemented
160#10622557C2211yescharacteristic, complemented
161#10622556C2211yescharacteristic
162#10622556C2211yescharacteristic
163C22⋊C4×Dic11C2211yescharacteristic
164C22⋊C4×Dic11C2211yescharacteristic, complemented
165#10622286C2211yescharacteristic, complemented
166#10622283C2211yescharacteristic, complemented
167#10622283C2211yescharacteristic, complemented
168#10622282C2211yescharacteristic, complemented
169#10622282C2211yescharacteristic, complemented
170#10622280C2211yescharacteristic, complemented
171#10622274C2211yescharacteristic, complemented
172#10622271C2211yescharacteristic, complemented
173#10622270C2211yescharacteristic, complemented
174#10622269C2211yescharacteristic, complemented
175#10622269C2211yescharacteristic, complemented
176#10622267C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622263C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622261C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, 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×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×Dic22C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C11×#121—24no—
214C11×#121—42no—
215C11×#120—24no—
216C11×#120—42no—
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236#67006—24no—
237C2×C22⋊Dic11—24no—
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
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
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
269#66992—24no—
270#66992—24no—
271#66991—24no—
272#66989—24no—
273#66989—24no—
274#66989—24no—
275#66989—24no—
276#66988—24no—
277#66988—24no—
278#66988—24no—
279D4×Dic11D418yescomplemented
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289#66979—24no—
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298#66977—24no—
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×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×C4×Dic11—42no—
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328#66949—42no—
329#66941—24no—
330#66940—24no—
331#66938—24no—
332#66938—42no—
333#66936—24no—
334(C22⋊D11)⋊C4—24no—
335#66932—24no—
336#66932—24no—
337#66932—24no—
338#66932—24no—
339#66931—24no—
340#66931—24no—
341#66931—24no—
342#66930—42no—
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
379#36745—111nomaximal, Sylow
380C24×C11—22no—
381C24×C11—41no—
382C24×C11—41no—
383C24×C11—41no—
384C24×C11—41no—
385C24×C11—41no—
386C24×C11—41no—
387C24×C11C2411yescharacteristic
388C24×C11C2411yescharacteristic
389C24×C11C2411yescharacteristic
390C24×C11C2411yescharacteristic
391C24×C11C2411yescharacteristic
392C23×D11C2411yescharacteristic
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—22no—
396C2×D4×C11—22no—
397C2×D4×C11—22no—
398C2×D4×C11—41no—
399C2×D4×C11—41no—
400C2×D4×C11—41no—
401C2×D4×C11—41no—
402C2×D4×C11—41no—
403C2×D4×C11—41no—
404C2×D4×C11—41no—
405C2×D4×C11—41no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C2×D4×C11—41no—
410C2×D4×C11—41no—
411C2×D4×C11—41no—
412C2×D4×C11—41no—
413C2×D4×C11C2×D414yes—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
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
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C22×Dic11—22no—
446C22×Dic11—41no—
447C22×Dic11—41no—
448C22×Dic11—41no—
449C22×Dic11—41no—
450C22×Dic11—41no—
451C22×Dic11—41no—
452C22×Dic11—41no—
453C22×Dic11—41no—
454C22×Dic11—41no—
455C22×Dic11C2×D414yes—
456C22×Dic11C2×D414yes—
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C2×C4×D11—22no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×Dic22—22no—
476C2×Dic22—22no—
477C2×Dic22—22no—
478C2×Dic22—22no—
479C2×Dic22—41no—
480C2×Dic22—41no—
481C2×Dic22—41no—
482C2×Dic22—41no—
483C2×Dic22—41no—
484C2×Dic22—41no—
485C2×Dic22—41no—
486C2×Dic22—41no—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—22no—
489C11×C4⋊C4—41no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4—41no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4—41no—
502C11×C22⋊C4—41no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4—41no—
505C11×C22⋊C4—41no—
506C22⋊Dic11—22no—
507C22⋊Dic11—22no—
508C22⋊Dic11—22no—
509C22⋊Dic11—22no—
510C22⋊Dic11—22no—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—22no—
518C22⋊Dic11—22no—
519C22⋊Dic11—22no—
520C22⋊Dic11—22no—
521C22⋊Dic11—41no—
522C22⋊Dic11—41no—
523C22⋊Dic11—41no—
524C22⋊Dic11—41no—
525C22⋊Dic11—41no—
526C22⋊Dic11—41no—
527C22⋊Dic11—41no—
528C22⋊Dic11—41no—
529C22⋊Dic11—41no—
530C22⋊Dic11—41no—
531C22⋊Dic11—41no—
532C22⋊Dic11—41no—
533C22⋊Dic11—41no—
534C22⋊Dic11—41no—
535C22⋊Dic11C2×D414yes—
536C22⋊Dic11C2×D414yes—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546C4⋊Dic11—22no—
547C4⋊Dic11—22no—
548C4⋊Dic11—22no—
549C4⋊Dic11—41no—
550C4⋊Dic11—41no—
551C4⋊Dic11—41no—
552C4⋊Dic11—41no—
553C4⋊Dic11C2×D414yes—
554Dic11⋊C4—22no—
555Dic11⋊C4—22no—
556Dic11⋊C4—22no—
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—41no—
566Dic11⋊C4—41no—
567Dic11⋊C4—41no—
568Dic11⋊C4—41no—
569Dic11⋊C4—41no—
570Dic11⋊C4—41no—
571C4×Dic11—22no—
572C4×Dic11—22no—
573C4×Dic11—22no—
574C4×Dic11—22no—
575C4×Dic11—22no—
576C4×Dic11—22no—
577C4×Dic11—41no—
578C4×Dic11—41no—
579C4×Dic11—41no—
580C4×Dic11—41no—
581C4×Dic11C2×D414yes—
582C2×#542—111no—
583C2×#538—111no—
584#2854—111no—
585#2850—111no—
586#2723—111no—
587#2716—111no—
588#2715—111no—
589#2712—111no—
590#2700—111no—
591#2698—111no—
592#2696—111no—
593#2691—111no—
594#2688—111no—
595#2686—111no—
596#2685—111no—
597#2684—111no—
598#2676—111no—
599#2674—111no—
600#2670—111no—
601#2668D1111yescharacteristic, complemented
602#2663—111no—
603#2661—111no—
604#2610—111no—
605#2604—111no—
606#2602—111no—
607#2601—111no—
608#2592—111no—
609#2561—111no—
610#2415—111no—
611#2411—111no—
612#2290—111no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
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×C11—44no—
647C23×C11—82no—
648C23×C11—82no—
649C23×C11—82no—
650C23×C11—82no—
651C23×C11—82no—
652C23×C11—82no—
653C23×C11C22×D412yes—
654C23×C11C22×D412yes—
655C23×C11C2511yescharacteristic
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663D4×C11—44no—
664D4×C11—82no—
665D4×C11—82no—
666D4×C11—82no—
667D4×C11—82no—
668D4×C11—82no—
669D4×C11—82no—
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—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—44no—
699C2×C4×C11—44no—
700C2×C4×C11C22×D412yes—
701C2×C4×C11H(5,𝔽2)12yes—
702C22⋊D11—44no—
703C22⋊D11—82no—
704C22⋊D11—82no—
705C22⋊D11—82no—
706C22⋊D11—82no—
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—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—44no—
749C2×Dic11—44no—
750C2×Dic11—44no—
751C2×Dic11—82no—
752C2×Dic11C22×D412yes—
753C2×Dic11C22×D412yes—
754C2×Dic11C22×D412yes—
755C2×Dic11C22×D412yes—
756C4×D11—82no—
757Dic22—44no—
758Dic22—82no—
759Dic22—82no—
760Dic22—82no—
761#542—228no—
762#538—228no—
763C2×C4⋊Q8—111no—
764C2×#126—111no—
765C2×#126—111no—
766C2×#126—111no—
767C2×#126—111no—
768C2×#124—111no—
769C2×#124—111no—
770C2×#124—111no—
771C2×#124—111no—
772C2×#124—111no—
773C2×#124—111no—
774C2×#123—111no—
775C2×#123—111no—
776C2×#123—111no—
777C2×#123—111no—
778C2×C22⋊Q8—111no—
779C2×C22⋊Q8—111no—
780C2×C22⋊Q8—111no—
781C2×C22⋊Q8—111no—
782C2×C22⋊Q8—111no—
783C2×#121—111no—
784C2×#121—111no—
785C2×#121—111no—
786C2×#121C2×D1111yescharacteristic
787C2×#121C2×D1111yescharacteristic
788C2×#120—111no—
789C2×#120C2×D1111yescharacteristic
790C2×#120C2×D1111yescharacteristic
791C2×C4×Q8—111no—
792C2×C4×D4—111no—
793C2×C4×D4—111no—
794C2×#117—111no—
795C2×#117—111no—
796C22×C22⋊C4—111no—
797C22×C42—111no—
798#400—111no—
799#400—111no—
800#399—111no—
801#399C2×D1111yescharacteristic
802#398—111no—
803#398—111no—
804#397—111no—
805#397—111no—
806#397—111no—
807#397—111no—
808#397—111no—
809#397—111no—
810#397—111no—
811#397—111no—
812#397C2×D1111yescharacteristic
813#397C2×D1111yescharacteristic
814#396—111no—
815#396—111no—
816#396—111no—
817#396—111no—
818#395—111no—
819#395—111no—
820#395—111no—
821#394—111no—
822#394—111no—
823#394—111no—
824#394—111no—
825#394—111no—
826#394—111no—
827#394—111no—
828#394—111no—
829#394—111no—
830#394—111no—
831#394—111no—
832#394C2×D1111yescharacteristic
833#394C2×D1111yescharacteristic
834#393—111no—
835#393—111no—
836#393—111no—
837#393—111no—
838#393—111no—
839#393—111no—
840#393—111no—
841#392—111no—
842#392—111no—
843#392—111no—
844#392—111no—
845#392C2×D1111yescharacteristic
846#391—111no—
847#391—111no—
848#391—111no—
849#391—111no—
850#390—111no—
851#390—111no—
852#390—111no—
853#390—111no—
854#390—111no—
855#390—111no—
856#390—111no—
857#389—111no—
858#389—111no—
859#389—111no—
860#389—111no—
861#389—111no—
862#388—111no—
863#388—111no—
864#388—111no—
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#387—111no—
883#387—111no—
884#387—111no—
885#387—111no—
886#387—111no—
887#387—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386—111no—
894#386—111no—
895#386—111no—
896#386—111no—
897#386C2×D1111yescharacteristic
898#386C2×D1111yescharacteristic
899#386C2×D1111yescharacteristic
900#386C2×D1111yescharacteristic
901#385—111no—
902#385—111no—
903#385—111no—
904#385—111no—
905#385—111no—
906#382—111no—
907#381—111no—
908#381—111no—
909#380—111no—
910#380—111no—
911#379—111no—
912#379—111no—
913#379C2×D1111yescharacteristic
914C4×C4⋊C4—111no—
915C4×C22⋊C4—111no—
916C4×C22⋊C4—111no—
917#376—111no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—88no—
954C22×C11C23×D411yescharacteristic
955C22×C11C2×H(5,𝔽2)11yescharacteristic
956C22×C11#58511yescharacteristic
957C22×C11#58511yescharacteristic
958C22×C11#58511yescharacteristic
959C22×C11#58511yescharacteristic
960C22×C11#58511yescharacteristic
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—41no—
967C2×D11—41no—
968C4×C11—22no—
969C4×C11—22no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977C4×C11—41no—
978Dic11—22no—
979Dic11—22no—
980Dic11—22no—
981Dic11—22no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990Dic11—41no—
991Dic11—41no—
992Dic11—41no—
993C25C22×D1111yescharacteristic
994C22×Q8—111no—
995C22×Q8—111no—
996C22×Q8—111no—
997C22×Q8—111no—
998C22×D4—111no—
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4—111no—
1002C22×D4—111no—
1003C22×D4C22×D1111yescharacteristic
1004C22×D4C22×D1111yescharacteristic
1005C22×D4C22×D1111yescharacteristic
1006C22×D4C22×D1111yescharacteristic
1007C22×D4C22×D1111yescharacteristic
1008C22×D4C22×D1111yescharacteristic
1009C22×D4C22×D1111yescharacteristic
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4C22×D1111yescharacteristic
1016C23×C4C22×D1111yescharacteristic
1017C4⋊Q8—224no—
1018#126—224no—
1019#126—224no—
1020#126—224no—
1021#126—224no—
1022#124—224no—
1023#124—224no—
1024#124—224no—
1025#124—224no—
1026#124—224no—
1027#124—442no—
1028#123—224no—
1029#123—224no—
1030#123—224no—
1031#123—224no—
1032C22⋊Q8—224no—
1033C22⋊Q8—224no—
1034C22⋊Q8—224no—
1035C22⋊Q8—224no—
1036C22⋊Q8—442no—
1037#121—24no—
1038#121—42no—
1039#121—224no—
1040#121—224no—
1041#121—224no—
1042#120—24no—
1043#120—42no—
1044#120—224no—
1045C4×Q8—224no—
1046C4×D4—118no—
1047C4×D4—224no—
1048#117—224no—
1049#117—442no—
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—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1076C2×C4⋊C4C22×D1111yescharacteristic
1077C2×C4⋊C4C22×D1111yescharacteristic
1078C2×C22⋊C4—111no—
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—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—224no—
1119C2×C22⋊C4C22×D1111yescharacteristic
1120C2×C22⋊C4C22×D1111yescharacteristic
1121C2×C22⋊C4C22×D1111yescharacteristic
1122C2×C22⋊C4C22×D1111yescharacteristic
1123C2×C22⋊C4C22×D1111yescharacteristic
1124C2×C22⋊C4C22×D1111yescharacteristic
1125C2×C22⋊C4C22×D1111yescharacteristic
1126C2×C22⋊C4C22×D1111yescharacteristic
1127C2×C22⋊C4C22×D1111yescharacteristic
1128C2×C22⋊C4C22×D1111yescharacteristic
1129C2×C22⋊C4C22×D1111yescharacteristic
1130C2×C22⋊C4C22×D1111yescharacteristic
1131C2×C22⋊C4C22×D1111yescharacteristic
1132C2×C22⋊C4C22×D1111yescharacteristic
1133C2×C22⋊C4C22×D1111yescharacteristic
1134C2×C22⋊C4C22×D1111yescharacteristic
1135C2×C42—111no—
1136C2×C42—111no—
1137C2×C42—111no—
1138C2×C42—111no—
1139C2×C42—111no—
1140C2×C42—111no—
1141C2×C42—111no—
1142C2×C42—111no—
1143C2×C42—111no—
1144C2×C42—111no—
1145C2×C42—111no—
1146C2×C42—442no—
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#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95C22×D1111yescharacteristic
1178#95C22×D1111yescharacteristic
1179#95C22×D1111yescharacteristic
1180#95C22×D1111yescharacteristic
1181#95C22×D1111yescharacteristic
1182#95C22×D1111yescharacteristic
1183C2×C11—42no—
1184C2×C11—42no—
1185C2×C11—81no—
1186C2×C11—81no—
1187C2×C11—81no—
1188C2×C11#344911yescharacteristic
1189C2×C11#349611yescharacteristic
1190C2×C11#350011yescharacteristic
1191C2×C11#353311yescharacteristic
1192C2×C11#354011yescharacteristic
1193C2×C11#356611yescharacteristic
1194C2×C11#356811yescharacteristic
1195D11—81no—
1196C24—22no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24—111no—
1204C24C23×D1111yescharacteristic
1205C24C23×D1111yescharacteristic
1206C24C23×D1111yescharacteristic
1207C24C23×D1111yescharacteristic
1208C24C23×D1111yescharacteristic
1209C2×Q8—222no—
1210C2×Q8—222no—
1211C2×Q8—222no—
1212C2×Q8—222no—
1213C2×Q8—441no—
1214C2×Q8—441no—
1215C2×Q8—441no—
1216C2×Q8—441no—
1217C2×Q8—441no—
1218C2×Q8—441no—
1219C2×Q8—441no—
1220C2×Q8—441no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—222no—
1242C2×D4—222no—
1243C2×D4—222no—
1244C2×D4—222no—
1245C2×D4—441no—
1246C2×D4—441no—
1247C2×D4—441no—
1248C2×D4—441no—
1249C2×D4—441no—
1250C2×D4—441no—
1251C2×D4—441no—
1252C2×D4—441no—
1253C2×D4—441no—
1254C2×D4—441no—
1255C2×D4—441no—
1256C2×D4D4×D1114yes—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—111no—
1264C22×C4—111no—
1265C22×C4—111no—
1266C22×C4—111no—
1267C22×C4—114no—
1268C22×C4—114no—
1269C22×C4—111no—
1270C22×C4—111no—
1271C22×C4—111no—
1272C22×C4—111no—
1273C22×C4—111no—
1274C22×C4—111no—
1275C22×C4—111no—
1276C22×C4—111no—
1277C22×C4—111no—
1278C22×C4—111no—
1279C22×C4—111no—
1280C22×C4—222no—
1281C22×C4—222no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4—441no—
1291C22×C4—441no—
1292C22×C4—441no—
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
1302C22×C4C23×D1111yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—41no—
1306C4⋊C4—114no—
1307C4⋊C4—222no—
1308C4⋊C4—222no—
1309C4⋊C4—222no—
1310C4⋊C4—222no—
1311C4⋊C4—222no—
1312C4⋊C4—222no—
1313C4⋊C4—222no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—222no—
1318C4⋊C4—222no—
1319C4⋊C4—222no—
1320C4⋊C4—222no—
1321C4⋊C4—441no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C4⋊C4—441no—
1328C4⋊C4—441no—
1329C4⋊C4—441no—
1330C4⋊C4—441no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—114no—
1348C22⋊C4—114no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
1359C22⋊C4—222no—
1360C22⋊C4—222no—
1361C22⋊C4—222no—
1362C22⋊C4—222no—
1363C22⋊C4—222no—
1364C22⋊C4—222no—
1365C22⋊C4—222no—
1366C22⋊C4—222no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4—441no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C22⋊C4—441no—
1373C22⋊C4—441no—
1374C22⋊C4—441no—
1375C22⋊C4—441no—
1376C22⋊C4—441no—
1377C22⋊C4—441no—
1378C22⋊C4—441no—
1379C22⋊C4—441no—
1380C22⋊C4—441no—
1381C22⋊C4—441no—
1382C22⋊C4—441no—
1383C22⋊C4—441no—
1384C22⋊C4—441no—
1385C22⋊C4—441no—
1386C22⋊C4—441no—
1387C42—114no—
1388C42—222no—
1389C42—222no—
1390C42—222no—
1391C42—222no—
1392C42—222no—
1393C42—222no—
1394C42—441no—
1395C42—441no—
1396C42—441no—
1397C42—441no—
1398C11#3674511yescharacteristic, complemented, Sylow
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—44no—
1433C23—82no—
1434C23—82no—
1435C23—82no—
1436C23—82no—
1437C23—82no—
1438C23—82no—
1439C23—221no—
1440C23—221no—
1441C23—221no—
1442C23—221no—
1443C23—221no—
1444C23—221no—
1445C23—221no—
1446C23C2×D4×D1112yes—
1447C23C2×D4×D1112yes—
1448C23C24×D1111yescharacteristic
1449Q8—444no—
1450Q8—882no—
1451Q8—882no—
1452Q8—882no—
1453D4—44no—
1454D4—82no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
1459D4—82no—
1460D4—444no—
1461D4—882no—
1462D4—882no—
1463D4—882no—
1464D4—882no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—112no—
1496C2×C4—112no—
1497C2×C4—112no—
1498C2×C4—112no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—444no—
1541C2×C4—444no—
1542C2×C4—444no—
1543C2×C4—882no—
1544C2×C4—882no—
1545C2×C4C2×D4×D1112yes—
1546C2×C4#6703712yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—88no—
1583C22—441no—
1584C22—441no—
1585C22—441no—
1586C22—441no—
1587C22—441no—
1588C22—441no—
1589C22—441no—
1590C22C22×D4×D1111yescharacteristic
1591C22C2×#6703711yescharacteristic
1592C22#1062345311yescharacteristic
1593C22#1062345511yescharacteristic
1594C22#1062345511yescharacteristic
1595C22#1062345511yescharacteristic
1596C22#1062345511yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—222no—
1608C4—222no—
1609C4—222no—
1610C4—222no—
1611C4—441no—
1612C4—441no—
1613C4—441no—
1614C4—441no—
1615C4—441no—
1616C4—441no—
1617C4—441no—
1618C4—441no—
1619C4—441no—
1620C4—441no—
1621C4—441no—
1622C2—42no—
1623C2—42no—
1624C2—81no—
1625C2—81no—
1626C2—81no—
1627C2—881no—
1628C2#1308194211yescharacteristic
1629C2#1308237211yescharacteristic
1630C2#1308240211yescharacteristic
1631C2#1308277711yescharacteristic
1632C2#1308288011yescharacteristic
1633C2#1308327311yescharacteristic
1634C2#1308330911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2668C2
hypercenter#2668D11
hypocenterC11#36745
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2668

Complements

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

NH ≅ G/Ntype
1. C2×#10623134C2semidirect
2. C2×#10623124C2semidirect
3. #13076942C2semidirect
4. #13076913C2semidirect
5. #13075538C2semidirect
6. #13075449C2semidirect
7. #13075422C2semidirect
8. #13075381C2semidirect
9. #13075220C2semidirect
10. #13075192C2semidirect
11. #13075167C2semidirect
12. #13075096C2semidirect
13. #13075046C2semidirect
14. #13075020C2semidirect
15. #13075011C2semidirect
16. #13074994C2semidirect
17. #13074911C2semidirect
18. #13074902C2semidirect
19. #13074838C2semidirect
20. #13074763C2semidirect
21. #13074741C2semidirect
22. #13074299C2semidirect
23. #13074255C2semidirect
24. #13074231C2semidirect
25. #13074209C2semidirect
26. #13074100C2semidirect
27. #13073771C2semidirect
28. #13072040C2semidirect
29. #13071997C2semidirect
30. #13071056C2semidirect
31. C11×#2668C2semidirect
44. C2×#66989C22semidirect
47. C2×#66988C22semidirect
49. C2×#66979C22semidirect
50. C2×#66977C22semidirect
51. C22×C4×Dic11C22semidirect
54. C2×#66949C22semidirect
55. C2×#66941C22semidirect
56. C2×#66940C22semidirect
64. C2×#66932C22semidirect
67. C2×#66931C22semidirect
85. #10622836C22semidirect
98. #10622833C22semidirect
99. #10622826C22semidirect
100. #10622826C22semidirect
101. #10622825C22semidirect
102. #10622823C22semidirect
103. #10622823C22semidirect
104. #10622606C22semidirect
105. #10622602C22semidirect
106. #10622595C22semidirect
107. #10622594C22semidirect
108. #10622594C22semidirect
109. #10622592C22semidirect
110. #10622586C22semidirect
111. #10622586C22semidirect
112. #10622586C22semidirect
116. #10622574C22semidirect
119. #10622571C22semidirect
123. #10622570C22semidirect
124. #10622569C22semidirect
125. #10622566C22semidirect
130. #10622565C22semidirect
131. #10622565C22semidirect
136. #10622564C22semidirect
142. #10622561C22semidirect
148. #10622560C22semidirect
149. #10622559C22semidirect
159. #10622557C22semidirect
160. #10622557C22semidirect
164. C22⋊C4×Dic11C22semidirect
165. #10622286C22semidirect
166. #10622283C22semidirect
167. #10622283C22semidirect
168. #10622282C22semidirect
169. #10622282C22semidirect
170. #10622280C22semidirect
171. #10622274C22semidirect
172. #10622271C22semidirect
173. #10622270C22semidirect
174. #10622269C22semidirect
175. #10622269C22semidirect
176. #10622267C22semidirect
177. #10622266C22semidirect
178. #10622266C22semidirect
179. #10622265C22semidirect
180. #10622263C22semidirect
181. #10622262C22semidirect
182. #10622261C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
279. D4×Dic11D4semidirect
601. #2668D11semidirect
1398. C11#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#106231342
C2×#106231242
#130769422
#130769132
#130755382
#130754492
#130754222
#130753812
#130752202
#130751922
#130751672
#130750962
#130750462
#130750202
#130750112
#130749942
#130749112
#130749022
#130748382
#130747632
#130747412
#130742992
#130742552
#130742312
#130742092
#130741002
#130737712
#130720402
#130719972
#130710562
C11×#26682
#3674511