Finite Group Databasebeta

← #14961289

Subgroups — #14961289

Order 2816.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623150C211yesmaximal, characteristic, complemented
2C2×#10623124C211yesmaximal, characteristic, complemented
3#13076959C211yesmaximal, characteristic, complemented
4#13076944C211yesmaximal, characteristic, complemented
5#13075518C211yesmaximal, characteristic, complemented
6#13075415C211yesmaximal, characteristic, complemented
7#13075141C211yesmaximal, characteristic, complemented
8#13074970C211yesmaximal, characteristic, complemented
9#13074952C211yesmaximal, characteristic, complemented
10#13074945C211yesmaximal, characteristic, complemented
11#13074911C211yesmaximal, characteristic, complemented
12#13074908C211yesmaximal, characteristic, complemented
13#13074880C211yesmaximal, characteristic, complemented
14#13074879C211yesmaximal, characteristic, complemented
15#13074860C211yesmaximal, characteristic, complemented
16#13074853C211yesmaximal, characteristic, complemented
17#13074846C211yesmaximal, characteristic, complemented
18#13074833C211yesmaximal, characteristic, complemented
19#13074830C211yesmaximal, characteristic, complemented
20#13074743C211yesmaximal, characteristic, complemented
21#13074741C211yesmaximal, characteristic, complemented
22#13074299C211yesmaximal, characteristic, complemented
23#13074246C211yesmaximal, characteristic, complemented
24#13074223C211yesmaximal, characteristic, complemented
25#13074209C211yesmaximal, characteristic, complemented
26#13073551C211yesmaximal, characteristic, complemented
27#13073544C211yesmaximal, characteristic, complemented
28#13072029C211yesmaximal, characteristic, complemented
29#13072003C211yesmaximal, characteristic, complemented
30#13071056C211yesmaximal, characteristic, complemented
31C11×#2668C211yesmaximal, characteristic, complemented
32C2×C11×#121C2211yescharacteristic
33C2×C11×#121C2211yescharacteristic
34C2×C11×#120C2211yescharacteristic
35C2×C11×#120C2211yescharacteristic
36C2×#67006C2211yescharacteristic
37C2×#67006C2211yescharacteristic
38C2×#67006C2211yescharacteristic
39C22×C22⋊Dic11C2211yescharacteristic
40C2×#66993C2211yescharacteristic
41C2×#66993C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic
45C2×#66992C2211yescharacteristic
46C2×#66992C2211yescharacteristic
47C2×#66992C2211yescharacteristic, complemented
48C2×#66992C2211yescharacteristic, complemented
49C2×#66991C2211yescharacteristic
50C2×#66991C2211yescharacteristic
51C2×#66991C2211yescharacteristic, complemented
52C2×#66989C2211yescharacteristic
53C2×#66988C2211yescharacteristic
54C2×#66988C2211yescharacteristic
55C2×D4×Dic11C2211yescharacteristic
56C2×#66983C2211yescharacteristic, complemented
57C2×#66983C2211yescharacteristic, complemented
58C2×#66979C2211yescharacteristic, complemented
59C22×C4×Dic11C2211yescharacteristic, complemented
60#10623150—28no—
61#10623124—28no—
62C2×#66949C2211yescharacteristic, complemented
63C2×#66949C2211yescharacteristic, complemented
64C2×#66946C2211yescharacteristic, complemented
65C2×#66943C2211yescharacteristic, complemented
66C2×#66939C2211yescharacteristic
67C2×#66939C2211yescharacteristic
68C2×#66939C2211yescharacteristic, complemented
69C2×#66938C2211yescharacteristic
70C2×#66937C2211yescharacteristic
71C2×#66937C2211yescharacteristic
72C2×#66937C2211yescharacteristic, complemented
73C2×#66936C2211yescharacteristic
74C2×#66936C2211yescharacteristic
75C2×#66936C2211yescharacteristic, complemented
76C2×(C22⋊D11)⋊C4C2211yescharacteristic
77C2×#66932C2211yescharacteristic
78C2×#66932C2211yescharacteristic
79C2×#66931C2211yescharacteristic
80C2×#66930C2211yescharacteristic
81C11×#399C2211yescharacteristic
82C11×#397C2211yescharacteristic
83C11×#397C2211yescharacteristic
84C11×#394C2211yescharacteristic
85C11×#394C2211yescharacteristic
86C11×#392C2211yescharacteristic
87C11×#386C2211yescharacteristic
88C11×#386C2211yescharacteristic
89C11×#386C2211yescharacteristic
90C11×#386C2211yescharacteristic
91C11×#379C2211yescharacteristic
92#10622836C2211yescharacteristic
93#10622836C2211yescharacteristic
94#10622836C2211yescharacteristic
95#10622836C2211yescharacteristic
96#10622836C2211yescharacteristic
97#10622836C2211yescharacteristic
98#10622836C2211yescharacteristic
99#10622835C2211yescharacteristic
100#10622835C2211yescharacteristic, complemented
101#10622834C2211yescharacteristic
102#10622834C2211yescharacteristic
103#10622833C2211yescharacteristic
104#10622826C2211yescharacteristic, complemented
105#10622826C2211yescharacteristic, complemented
106#10622823C2211yescharacteristic, complemented
107#10622823C2211yescharacteristic, complemented
108#10622605C2211yescharacteristic, complemented
109#10622601C2211yescharacteristic, complemented
110#10622601C2211yescharacteristic, complemented
111#10622597C2211yescharacteristic, complemented
112#10622594C2211yescharacteristic, complemented
113#10622593C2211yescharacteristic, complemented
114#10622589C2211yescharacteristic, complemented
115#10622585C2211yescharacteristic, complemented
116#10622574C2211yescharacteristic
117#10622574C2211yescharacteristic
118#10622574C2211yescharacteristic, complemented
119#10622573C2211yescharacteristic
120#10622573C2211yescharacteristic
121#10622573C2211yescharacteristic
122#10622573C2211yescharacteristic
123#10622573C2211yescharacteristic
124#10622573C2211yescharacteristic, complemented
125#10622572C2211yescharacteristic
126#10622572C2211yescharacteristic
127#10622572C2211yescharacteristic
128#10622572C2211yescharacteristic
129#10622572C2211yescharacteristic
130#10622572C2211yescharacteristic, complemented
131#10622572C2211yescharacteristic, complemented
132#10622571C2211yescharacteristic
133#10622570C2211yescharacteristic
134#10622570C2211yescharacteristic
135#10622570C2211yescharacteristic
136#10622570C2211yescharacteristic
137#10622570C2211yescharacteristic
138#10622570C2211yescharacteristic
139#10622570C2211yescharacteristic, complemented
140#10622570C2211yescharacteristic, complemented
141#10622570C2211yescharacteristic, complemented
142#10622569C2211yescharacteristic
143#10622569C2211yescharacteristic
144#10622565C2211yescharacteristic
145#10622564C2211yescharacteristic
146#10622564C2211yescharacteristic
147#10622564C2211yescharacteristic
148#10622562C2211yescharacteristic
149#10622562C2211yescharacteristic
150#10622561C2211yescharacteristic
151#10622561C2211yescharacteristic
152#10622561C2211yescharacteristic
153#10622561C2211yescharacteristic, complemented
154#10622560C2211yescharacteristic, complemented
155#10622559C2211yescharacteristic
156#10622559C2211yescharacteristic, complemented
157#10622558C2211yescharacteristic
158#10622557C2211yescharacteristic
159#10622557C2211yescharacteristic
160#10622557C2211yescharacteristic
161#10622557C2211yescharacteristic, complemented
162#10622555C2211yescharacteristic, complemented
163C22⋊C4×Dic11C2211yescharacteristic
164C22⋊C4×Dic11C2211yescharacteristic, complemented
165#10622288C2211yescharacteristic, complemented
166#10622285C2211yescharacteristic, complemented
167#10622284C2211yescharacteristic, complemented
168#10622283C2211yescharacteristic, complemented
169#10622283C2211yescharacteristic, complemented
170#10622282C2211yescharacteristic, complemented
171#10622282C2211yescharacteristic, complemented
172#10622282C2211yescharacteristic, complemented
173#10622282C2211yescharacteristic, complemented
174#10622281C2211yescharacteristic, complemented
175#10622281C2211yescharacteristic, complemented
176#10622281C2211yescharacteristic, complemented
177#10622280C2211yescharacteristic, complemented
178#10622278C2211yescharacteristic, complemented
179#10622274C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622269C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622266C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622261C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, 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
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C22×D44C2311yescharacteristic
219C22×D44C2311yescharacteristic
220C22×D44C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×Dic22C2311yescharacteristic
225C11×#121—24no—
226C11×#121—42no—
227C11×#120—24no—
228C11×#120—42no—
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×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
247C2×C11×C22⋊C4C2311yescharacteristic
248#67006—24no—
249#67006—42no—
250#67006—42no—
251C2×C22⋊Dic11—24no—
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
273#66993—24no—
274#66993—42no—
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#66991—24no—
285#66989—24no—
286#66988—24no—
287#66988—42no—
288D4×Dic11D418yescomplemented
289#66983—24no—
290#66983—42no—
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312#66979—24no—
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×C4⋊Dic11C2311yescharacteristic
316C2×C4⋊Dic11C2311yescharacteristic
317C2×C4⋊Dic11C2311yescharacteristic
318C2×C4⋊Dic11C2311yescharacteristic
319C2×C4⋊Dic11C2311yescharacteristic
320C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11—42no—
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342C2×C4×Dic11C2311yescharacteristic
343C2×C4×Dic11C2311yescharacteristic
344C2×C4×Dic11C2311yescharacteristic
345C2×C4×Dic11C2311yescharacteristic
346C2×C4×Dic11C2311yescharacteristic
347C2×C4×Dic11C2311yescharacteristic
348#66949—42no—
349#66949—42no—
350#66946—24no—
351#66943—24no—
352#66939—24no—
353#66939—24no—
354#66939—42no—
355#66938—24no—
356#66937—42no—
357#66937—42no—
358#66937—42no—
359#66936—24no—
360#66936—24no—
361#66936—24no—
362(C22⋊D11)⋊C4—24no—
363#66932—24no—
364#66932—24no—
365#66931—24no—
366#66930—42no—
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#36744—111nomaximal, Sylow
392C24×C11—22no—
393C24×C11—41no—
394C24×C11—41no—
395C24×C11—41no—
396C24×C11—41no—
397C24×C11—41no—
398C24×C11—41no—
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C24×C11C2411yescharacteristic
402C24×C11C2411yescharacteristic
403C24×C11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C23×D11C2411yescharacteristic
406C23×D11C2411yescharacteristic
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—41no—
413C2×D4×C11—41no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
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—
427C2×D4×C11C2×D414yes—
428C22×C4×C11—22no—
429C22×C4×C11—22no—
430C22×C4×C11—41no—
431C22×C4×C11—41no—
432C22×C4×C11—41no—
433C22×C4×C11—41no—
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11—41no—
460C2×C22⋊D11—41no—
461C2×C22⋊D11—41no—
462C2×C22⋊D11—41no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
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—
486C2×C22⋊D11—41no—
487C2×C22⋊D11—41no—
488C2×C22⋊D11—41no—
489C22×Dic11—22no—
490C22×Dic11—22no—
491C22×Dic11—22no—
492C22×Dic11—41no—
493C22×Dic11—41no—
494C22×Dic11—41no—
495C22×Dic11—41no—
496C22×Dic11—41no—
497C22×Dic11—41no—
498C22×Dic11—41no—
499C22×Dic11C2×D414yes—
500C22×Dic11C2×D414yes—
501C22×Dic11C2411yescharacteristic
502C22×Dic11C2411yescharacteristic
503C22×Dic11C2411yescharacteristic
504C22×Dic11C2411yescharacteristic
505C22×Dic11C2411yescharacteristic
506C22×Dic11C2411yescharacteristic
507C22×Dic11C2411yescharacteristic
508C22×Dic11C2411yescharacteristic
509C22×Dic11C2411yescharacteristic
510C22×Dic11C2411yescharacteristic
511C22×Dic11C2411yescharacteristic
512C22×Dic11C2411yescharacteristic
513C22×Dic11C2411yescharacteristic
514C2×D44—22no—
515C2×D44—22no—
516C2×D44—41no—
517C2×D44—41no—
518C2×D44—41no—
519C2×D44—41no—
520C2×D44—41no—
521C2×D44—41no—
522C2×D44—41no—
523C2×C4×D11—22no—
524C2×C4×D11—22no—
525C2×C4×D11—22no—
526C2×C4×D11—41no—
527C2×C4×D11—41no—
528C2×C4×D11—41no—
529C2×C4×D11—41no—
530C2×C4×D11—41no—
531C2×C4×D11—41no—
532C2×Dic22—22no—
533C2×Dic22—41no—
534C2×Dic22—41no—
535C11×C4⋊C4—22no—
536C11×C4⋊C4—22no—
537C11×C4⋊C4—41no—
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—22no—
545C11×C22⋊C4—41no—
546C11×C22⋊C4—41no—
547C11×C22⋊C4—41no—
548C11×C22⋊C4—41no—
549C11×C22⋊C4—41no—
550C11×C22⋊C4—41no—
551C11×C22⋊C4—41no—
552C11×C22⋊C4—41no—
553C11×C22⋊C4—41no—
554C22⋊Dic11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—22no—
559C22⋊Dic11—22no—
560C22⋊Dic11—22no—
561C22⋊Dic11—22no—
562C22⋊Dic11—22no—
563C22⋊Dic11—22no—
564C22⋊Dic11—22no—
565C22⋊Dic11—22no—
566C22⋊Dic11—22no—
567C22⋊Dic11—22no—
568C22⋊Dic11—41no—
569C22⋊Dic11—41no—
570C22⋊Dic11—41no—
571C22⋊Dic11—41no—
572C22⋊Dic11—41no—
573C22⋊Dic11C2×D414yes—
574C22⋊Dic11C2×D414yes—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—22no—
578(C2×D11)⋊C4—22no—
579(C2×D11)⋊C4—22no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—22no—
582(C2×D11)⋊C4—22no—
583(C2×D11)⋊C4—22no—
584(C2×D11)⋊C4—22no—
585(C2×D11)⋊C4—41no—
586(C2×D11)⋊C4—41no—
587(C2×D11)⋊C4—41no—
588(C2×D11)⋊C4—41no—
589(C2×D11)⋊C4—41no—
590(C2×D11)⋊C4—41no—
591(C2×D11)⋊C4—41no—
592(C2×D11)⋊C4—41no—
593(C2×D11)⋊C4—41no—
594(C2×D11)⋊C4—41no—
595(C2×D11)⋊C4—41no—
596C4⋊Dic11—22no—
597C4⋊Dic11—22no—
598C4⋊Dic11—22no—
599C4⋊Dic11—22no—
600C4⋊Dic11—22no—
601C4⋊Dic11—22no—
602C4⋊Dic11—41no—
603C4⋊Dic11C2×D414yes—
604Dic11⋊C4—22no—
605Dic11⋊C4—22no—
606Dic11⋊C4—22no—
607Dic11⋊C4—22no—
608Dic11⋊C4—22no—
609Dic11⋊C4—22no—
610Dic11⋊C4—22no—
611Dic11⋊C4—22no—
612Dic11⋊C4—22no—
613Dic11⋊C4—22no—
614Dic11⋊C4—41no—
615Dic11⋊C4—41no—
616Dic11⋊C4—41no—
617Dic11⋊C4—41no—
618Dic11⋊C4—41no—
619Dic11⋊C4—41no—
620Dic11⋊C4—41no—
621C4×Dic11—22no—
622C4×Dic11—22no—
623C4×Dic11—22no—
624C4×Dic11—22no—
625C4×Dic11—41no—
626C4×Dic11—41no—
627C4×Dic11—41no—
628C4×Dic11—41no—
629C4×Dic11C2×D414yes—
630C2×#540—111no—
631C2×#538—111no—
632#2856—111no—
633#2854—111no—
634#2721—111no—
635#2714—111no—
636#2694—111no—
637#2681—111no—
638#2680—111no—
639#2678—111no—
640#2676—111no—
641#2675—111no—
642#2673—111no—
643#2673—111no—
644#2672—111no—
645#2671—111no—
646#2671—111no—
647#2669—111no—
648#2669—111no—
649#2668D1111yescharacteristic, complemented
650#2661—111no—
651#2661—111no—
652#2610—111no—
653#2603—111no—
654#2602—111no—
655#2601—111no—
656#2540—111no—
657#2539—111no—
658#2414—111no—
659#2411—111no—
660#2290—111no—
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—21no—
684C23×C11—21no—
685C23×C11—21no—
686C23×C11—21no—
687C23×C11—21no—
688C23×C11—21no—
689C23×C11—21no—
690C23×C11—21no—
691C23×C11—21no—
692C23×C11—21no—
693C23×C11—21no—
694C23×C11—44no—
695C23×C11—82no—
696C23×C11—82no—
697C23×C11—82no—
698C23×C11—82no—
699C23×C11—82no—
700C23×C11—82no—
701C23×C11C22×D412yes—
702C23×C11C22×D412yes—
703C23×C11C2511yescharacteristic
704C22×D11—21no—
705C22×D11—21no—
706C22×D11—21no—
707C22×D11—21no—
708C22×D11—21no—
709C22×D11—21no—
710C22×D11—21no—
711C22×D11—21no—
712C22×D11—21no—
713C22×D11—21no—
714C22×D11—21no—
715C22×D11—21no—
716C22×D11—21no—
717C22×D11—21no—
718C22×D11—21no—
719C22×D11—21no—
720C22×D11—21no—
721C22×D11—21no—
722C22×D11—21no—
723C22×D11—21no—
724C22×D11—21no—
725D4×C11—44no—
726D4×C11—82no—
727D4×C11—82no—
728D4×C11—82no—
729D4×C11—82no—
730D4×C11—82no—
731D4×C11—82no—
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—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—44no—
761C2×C4×C11—44no—
762C2×C4×C11C22×D412yes—
763C2×C4×C11H(5,𝔽2)12yes—
764C22⋊D11—44no—
765C22⋊D11—82no—
766C22⋊D11—82no—
767C22⋊D11—82no—
768C22⋊D11—82no—
769C22⋊D11—82no—
770C22⋊D11—82no—
771C22⋊D11—82no—
772C22⋊D11—82no—
773C22⋊D11—82no—
774C22⋊D11—82no—
775C22⋊D11—82no—
776C22⋊D11—82no—
777C22⋊D11—82no—
778C22⋊D11—82no—
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—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—44no—
813C2×Dic11—44no—
814C2×Dic11—44no—
815C2×Dic11—82no—
816C2×Dic11C22×D412yes—
817C2×Dic11C22×D412yes—
818C2×Dic11C22×D412yes—
819C2×Dic11C22×D412yes—
820C2×Dic11H(5,𝔽2)12yes—
821C2×Dic11H(5,𝔽2)12yes—
822D44—44no—
823D44—82no—
824D44—82no—
825C4×D11—82no—
826C4×D11—82no—
827C4×D11—82no—
828Dic22—82no—
829#540—228no—
830#538—228no—
831C2×#127—111no—
832C2×#127—111no—
833C2×#126—111no—
834C2×#126—111no—
835C2×#125—111no—
836C2×#124—111no—
837C2×#124—111no—
838C2×#123—111no—
839C2×#123—111no—
840C2×#123—111no—
841C2×#123—111no—
842C2×#123—111no—
843C2×#123—111no—
844C2×#123—111no—
845C2×#123—111no—
846C2×C22⋊Q8—111no—
847C2×C22⋊Q8—111no—
848C2×C22⋊Q8—111no—
849C2×#121—111no—
850C2×#121—111no—
851C2×#121—111no—
852C2×#121—111no—
853C2×#121—111no—
854C2×#121—111no—
855C2×#121—111no—
856C2×#121—111no—
857C2×#121—111no—
858C2×#121—111no—
859C2×#121—111no—
860C2×#121—111no—
861C2×#121—111no—
862C2×#121—111no—
863C2×#121—111no—
864C2×#121C2×D1111yescharacteristic
865C2×#121C2×D1111yescharacteristic
866C2×#120—111no—
867C2×#120—111no—
868C2×#120—111no—
869C2×#120C2×D1111yescharacteristic
870C2×#120C2×D1111yescharacteristic
871C2×C4×D4—111no—
872C2×C4×D4—111no—
873C2×C4×D4—111no—
874C2×#117—111no—
875C2×#117—111no—
876C22×C22⋊C4—111no—
877C22×C42—111no—
878#399—111no—
879#399—111no—
880#399—111no—
881#399C2×D1111yescharacteristic
882#398—111no—
883#398—111no—
884#398—111no—
885#398—111no—
886#397—111no—
887#397—111no—
888#397C2×D1111yescharacteristic
889#397C2×D1111yescharacteristic
890#396—111no—
891#396—111no—
892#396—111no—
893#396—111no—
894#395—111no—
895#394—111no—
896#394—111no—
897#394—111no—
898#394—111no—
899#394—111no—
900#394—111no—
901#394—111no—
902#394—111no—
903#394—111no—
904#394—111no—
905#394—111no—
906#394—111no—
907#394—111no—
908#394C2×D1111yescharacteristic
909#394C2×D1111yescharacteristic
910#393—111no—
911#392—111no—
912#392—111no—
913#392—111no—
914#392—111no—
915#392—111no—
916#392—111no—
917#392—111no—
918#392—111no—
919#392—111no—
920#392—111no—
921#392—111no—
922#392—111no—
923#392—111no—
924#392—111no—
925#392C2×D1111yescharacteristic
926#390—111no—
927#390—111no—
928#390—111no—
929#390—111no—
930#390—111no—
931#390—111no—
932#390—111no—
933#390—111no—
934#390—111no—
935#390—111no—
936#390—111no—
937#390—111no—
938#390—111no—
939#389—111no—
940#389—111no—
941#389—111no—
942#388—111no—
943#388—111no—
944#388—111no—
945#388—111no—
946#388—111no—
947#388—111no—
948#388—111no—
949#388—111no—
950#388—111no—
951#388—111no—
952#388—111no—
953#388—111no—
954#388—111no—
955#388—111no—
956#387—111no—
957#387—111no—
958#387—111no—
959#387—111no—
960#386—111no—
961#386—111no—
962#386—111no—
963#386—111no—
964#386—111no—
965#386—111no—
966#386—111no—
967#386C2×D1111yescharacteristic
968#386C2×D1111yescharacteristic
969#386C2×D1111yescharacteristic
970#386C2×D1111yescharacteristic
971#385—111no—
972#385—111no—
973#385—111no—
974#385—111no—
975#385—111no—
976#385—111no—
977#385—111no—
978#384—111no—
979#380—111no—
980#380—111no—
981#379C2×D1111yescharacteristic
982C4×C4⋊C4—111no—
983C4×C22⋊C4—111no—
984C4×C22⋊C4—111no—
985#376—111no—
986C22×C11—22no—
987C22×C11—22no—
988C22×C11—22no—
989C22×C11—22no—
990C22×C11—22no—
991C22×C11—22no—
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—41no—
1008C22×C11—41no—
1009C22×C11—41no—
1010C22×C11—41no—
1011C22×C11—41no—
1012C22×C11—41no—
1013C22×C11—41no—
1014C22×C11—41no—
1015C22×C11—41no—
1016C22×C11—41no—
1017C22×C11—41no—
1018C22×C11—41no—
1019C22×C11—41no—
1020C22×C11—41no—
1021C22×C11—88no—
1022C22×C11C23×D411yescharacteristic
1023C22×C11C2×H(5,𝔽2)11yescharacteristic
1024C22×C11C2×H(5,𝔽2)11yescharacteristic
1025C22×C11C2×H(5,𝔽2)11yescharacteristic
1026C22×C11#58511yescharacteristic
1027C22×C11#58511yescharacteristic
1028C22×C11#58511yescharacteristic
1029C2×D11—41no—
1030C2×D11—41no—
1031C2×D11—41no—
1032C2×D11—41no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C4×C11—22no—
1051C4×C11—22no—
1052C4×C11—41no—
1053C4×C11—41no—
1054C4×C11—41no—
1055C4×C11—41no—
1056C4×C11—41no—
1057C4×C11—41no—
1058C4×C11—41no—
1059C4×C11—41no—
1060Dic11—22no—
1061Dic11—22no—
1062Dic11—22no—
1063Dic11—22no—
1064Dic11—22no—
1065Dic11—22no—
1066Dic11—41no—
1067Dic11—41no—
1068Dic11—41no—
1069Dic11—41no—
1070Dic11—41no—
1071Dic11—41no—
1072Dic11—41no—
1073C25C22×D1111yescharacteristic
1074C22×Q8—111no—
1075C22×D4—111no—
1076C22×D4—111no—
1077C22×D4—111no—
1078C22×D4—111no—
1079C22×D4—111no—
1080C22×D4—111no—
1081C22×D4—111no—
1082C22×D4—111no—
1083C22×D4—111no—
1084C22×D4—111no—
1085C22×D4—111no—
1086C22×D4—111no—
1087C22×D4—111no—
1088C22×D4—111no—
1089C22×D4—111no—
1090C22×D4—111no—
1091C22×D4—111no—
1092C22×D4—111no—
1093C22×D4C22×D1111yescharacteristic
1094C22×D4C22×D1111yescharacteristic
1095C22×D4C22×D1111yescharacteristic
1096C22×D4C22×D1111yescharacteristic
1097C22×D4C22×D1111yescharacteristic
1098C22×D4C22×D1111yescharacteristic
1099C22×D4C22×D1111yescharacteristic
1100C23×C4—111no—
1101C23×C4—111no—
1102C23×C4—111no—
1103C23×C4—111no—
1104C23×C4—111no—
1105C23×C4—111no—
1106C23×C4—111no—
1107C23×C4C22×D1111yescharacteristic
1108C23×C4C22×D1111yescharacteristic
1109#127—224no—
1110#127—442no—
1111#126—224no—
1112#126—224no—
1113#125—224no—
1114#124—224no—
1115#124—224no—
1116#123—224no—
1117#123—224no—
1118#123—224no—
1119#123—224no—
1120#123—224no—
1121#123—224no—
1122#123—442no—
1123#123—442no—
1124C22⋊Q8—224no—
1125C22⋊Q8—442no—
1126C22⋊Q8—442no—
1127#121—24no—
1128#121—42no—
1129#121—224no—
1130#121—224no—
1131#121—224no—
1132#121—224no—
1133#121—224no—
1134#121—224no—
1135#121—224no—
1136#121—224no—
1137#121—442no—
1138#121—442no—
1139#121—442no—
1140#121—442no—
1141#121—442no—
1142#121—442no—
1143#121—442no—
1144#120—24no—
1145#120—42no—
1146#120—224no—
1147#120—442no—
1148#120—442no—
1149C4×D4—118no—
1150C4×D4—224no—
1151C4×D4—224no—
1152#117—224no—
1153#117—442no—
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—111no—
1161C2×C4⋊C4—111no—
1162C2×C4⋊C4—111no—
1163C2×C4⋊C4—111no—
1164C2×C4⋊C4—111no—
1165C2×C4⋊C4—111no—
1166C2×C4⋊C4—111no—
1167C2×C4⋊C4—111no—
1168C2×C4⋊C4—111no—
1169C2×C4⋊C4—111no—
1170C2×C4⋊C4—111no—
1171C2×C4⋊C4—111no—
1172C2×C4⋊C4—111no—
1173C2×C4⋊C4—111no—
1174C2×C4⋊C4—111no—
1175C2×C4⋊C4—111no—
1176C2×C4⋊C4—111no—
1177C2×C4⋊C4—111no—
1178C2×C4⋊C4—111no—
1179C2×C4⋊C4C22×D1111yescharacteristic
1180C2×C4⋊C4C22×D1111yescharacteristic
1181C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1207C2×C22⋊C4—111no—
1208C2×C22⋊C4—111no—
1209C2×C22⋊C4—111no—
1210C2×C22⋊C4—111no—
1211C2×C22⋊C4—111no—
1212C2×C22⋊C4—111no—
1213C2×C22⋊C4—111no—
1214C2×C22⋊C4—111no—
1215C2×C22⋊C4—111no—
1216C2×C22⋊C4—111no—
1217C2×C22⋊C4—111no—
1218C2×C22⋊C4—111no—
1219C2×C22⋊C4—111no—
1220C2×C22⋊C4—111no—
1221C2×C22⋊C4—111no—
1222C2×C22⋊C4—111no—
1223C2×C22⋊C4—111no—
1224C2×C22⋊C4—224no—
1225C2×C22⋊C4C22×D1111yescharacteristic
1226C2×C22⋊C4C22×D1111yescharacteristic
1227C2×C22⋊C4C22×D1111yescharacteristic
1228C2×C22⋊C4C22×D1111yescharacteristic
1229C2×C22⋊C4C22×D1111yescharacteristic
1230C2×C22⋊C4C22×D1111yescharacteristic
1231C2×C22⋊C4C22×D1111yescharacteristic
1232C2×C22⋊C4C22×D1111yescharacteristic
1233C2×C22⋊C4C22×D1111yescharacteristic
1234C2×C22⋊C4C22×D1111yescharacteristic
1235C2×C22⋊C4C22×D1111yescharacteristic
1236C2×C22⋊C4C22×D1111yescharacteristic
1237C2×C22⋊C4C22×D1111yescharacteristic
1238C2×C22⋊C4C22×D1111yescharacteristic
1239C2×C22⋊C4C22×D1111yescharacteristic
1240C2×C22⋊C4C22×D1111yescharacteristic
1241C2×C42—111no—
1242C2×C42—111no—
1243C2×C42—111no—
1244C2×C42—111no—
1245C2×C42—111no—
1246C2×C42—111no—
1247C2×C42—111no—
1248C2×C42—111no—
1249C2×C42—111no—
1250C2×C42—442no—
1251#95—111no—
1252#95—111no—
1253#95—111no—
1254#95—111no—
1255#95—111no—
1256#95—111no—
1257#95—111no—
1258#95—111no—
1259#95—111no—
1260#95—111no—
1261#95—111no—
1262#95—111no—
1263#95—111no—
1264#95—111no—
1265#95—111no—
1266#95—111no—
1267#95—111no—
1268#95—111no—
1269#95C22×D1111yescharacteristic
1270#95C22×D1111yescharacteristic
1271#95C22×D1111yescharacteristic
1272#95C22×D1111yescharacteristic
1273#95C22×D1111yescharacteristic
1274#95C22×D1111yescharacteristic
1275C2×C11—42no—
1276C2×C11—42no—
1277C2×C11—81no—
1278C2×C11—81no—
1279C2×C11—81no—
1280C2×C11#344911yescharacteristic
1281C2×C11#349611yescharacteristic
1282C2×C11#349811yescharacteristic
1283C2×C11#353411yescharacteristic
1284C2×C11#354211yescharacteristic
1285C2×C11#355111yescharacteristic
1286C2×C11#356211yescharacteristic
1287D11—81no—
1288D11—81no—
1289D11—81no—
1290C24—22no—
1291C24—41no—
1292C24—41no—
1293C24—41no—
1294C24—41no—
1295C24—41no—
1296C24—41no—
1297C24—111no—
1298C24—111no—
1299C24—111no—
1300C24C23×D1111yescharacteristic
1301C24C23×D1111yescharacteristic
1302C24C23×D1111yescharacteristic
1303C24C23×D1111yescharacteristic
1304C24C23×D1111yescharacteristic
1305C2×Q8—222no—
1306C2×Q8—441no—
1307C2×Q8—441no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—222no—
1329C2×D4—222no—
1330C2×D4—222no—
1331C2×D4—222no—
1332C2×D4—222no—
1333C2×D4—222no—
1334C2×D4—222no—
1335C2×D4—222no—
1336C2×D4—222no—
1337C2×D4—222no—
1338C2×D4—222no—
1339C2×D4—222no—
1340C2×D4—222no—
1341C2×D4—222no—
1342C2×D4—222no—
1343C2×D4—441no—
1344C2×D4—441no—
1345C2×D4—441no—
1346C2×D4—441no—
1347C2×D4—441no—
1348C2×D4—441no—
1349C2×D4—441no—
1350C2×D4—441no—
1351C2×D4—441no—
1352C2×D4—441no—
1353C2×D4—441no—
1354C2×D4—441no—
1355C2×D4—441no—
1356C2×D4—441no—
1357C2×D4—441no—
1358C2×D4—441no—
1359C2×D4—441no—
1360C2×D4—441no—
1361C2×D4—441no—
1362C2×D4—441no—
1363C2×D4—441no—
1364C2×D4—441no—
1365C2×D4—441no—
1366C2×D4—441no—
1367C2×D4—441no—
1368C2×D4—441no—
1369C2×D4—441no—
1370C2×D4—441no—
1371C2×D4—441no—
1372C2×D4—441no—
1373C2×D4—441no—
1374C2×D4—441no—
1375C2×D4—441no—
1376C2×D4—441no—
1377C2×D4—441no—
1378C2×D4—441no—
1379C2×D4—441no—
1380C2×D4—441no—
1381C2×D4—441no—
1382C2×D4D4×D1114yes—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—111no—
1390C22×C4—111no—
1391C22×C4—111no—
1392C22×C4—111no—
1393C22×C4—111no—
1394C22×C4—111no—
1395C22×C4—114no—
1396C22×C4—114no—
1397C22×C4—111no—
1398C22×C4—111no—
1399C22×C4—111no—
1400C22×C4—111no—
1401C22×C4—111no—
1402C22×C4—111no—
1403C22×C4—111no—
1404C22×C4—222no—
1405C22×C4—222no—
1406C22×C4—222no—
1407C22×C4—222no—
1408C22×C4—222no—
1409C22×C4—222no—
1410C22×C4—441no—
1411C22×C4—441no—
1412C22×C4—441no—
1413C22×C4—441no—
1414C22×C4—441no—
1415C22×C4—441no—
1416C22×C4—441no—
1417C22×C4—441no—
1418C22×C4—441no—
1419C22×C4—441no—
1420C22×C4—441no—
1421C22×C4—441no—
1422C22×C4—441no—
1423C22×C4C23×D1111yescharacteristic
1424C22×C4C23×D1111yescharacteristic
1425C22×C4C23×D1111yescharacteristic
1426C22×C4C23×D1111yescharacteristic
1427C22×C4C23×D1111yescharacteristic
1428C22×C4C23×D1111yescharacteristic
1429C22×C4C23×D1111yescharacteristic
1430C22×C4C23×D1111yescharacteristic
1431C22×C4C23×D1111yescharacteristic
1432C22×C4C23×D1111yescharacteristic
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—41no—
1436C4⋊C4—114no—
1437C4⋊C4—222no—
1438C4⋊C4—222no—
1439C4⋊C4—222no—
1440C4⋊C4—222no—
1441C4⋊C4—222no—
1442C4⋊C4—222no—
1443C4⋊C4—222no—
1444C4⋊C4—222no—
1445C4⋊C4—222no—
1446C4⋊C4—222no—
1447C4⋊C4—222no—
1448C4⋊C4—222no—
1449C4⋊C4—222no—
1450C4⋊C4—222no—
1451C4⋊C4—222no—
1452C4⋊C4—222no—
1453C4⋊C4—441no—
1454C4⋊C4—441no—
1455C4⋊C4—441no—
1456C4⋊C4—441no—
1457C4⋊C4—441no—
1458C4⋊C4—441no—
1459C4⋊C4—441no—
1460C4⋊C4—441no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—114no—
1478C22⋊C4—114no—
1479C22⋊C4—222no—
1480C22⋊C4—222no—
1481C22⋊C4—222no—
1482C22⋊C4—222no—
1483C22⋊C4—222no—
1484C22⋊C4—222no—
1485C22⋊C4—222no—
1486C22⋊C4—222no—
1487C22⋊C4—222no—
1488C22⋊C4—222no—
1489C22⋊C4—222no—
1490C22⋊C4—222no—
1491C22⋊C4—222no—
1492C22⋊C4—222no—
1493C22⋊C4—222no—
1494C22⋊C4—222no—
1495C22⋊C4—222no—
1496C22⋊C4—222no—
1497C22⋊C4—222no—
1498C22⋊C4—222no—
1499C22⋊C4—222no—
1500C22⋊C4—222no—
1501C22⋊C4—222no—
1502C22⋊C4—222no—
1503C22⋊C4—441no—
1504C22⋊C4—441no—
1505C22⋊C4—441no—
1506C22⋊C4—441no—
1507C22⋊C4—441no—
1508C22⋊C4—441no—
1509C22⋊C4—441no—
1510C22⋊C4—441no—
1511C22⋊C4—441no—
1512C22⋊C4—441no—
1513C22⋊C4—441no—
1514C22⋊C4—441no—
1515C22⋊C4—441no—
1516C22⋊C4—441no—
1517C22⋊C4—441no—
1518C22⋊C4—441no—
1519C42—114no—
1520C42—222no—
1521C42—222no—
1522C42—222no—
1523C42—222no—
1524C42—441no—
1525C42—441no—
1526C42—441no—
1527C42—441no—
1528C11#3674411yescharacteristic, complemented, Sylow
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—44no—
1563C23—82no—
1564C23—82no—
1565C23—82no—
1566C23—82no—
1567C23—82no—
1568C23—82no—
1569C23—221no—
1570C23—221no—
1571C23—221no—
1572C23—221no—
1573C23—221no—
1574C23—221no—
1575C23—221no—
1576C23—221no—
1577C23—221no—
1578C23—221no—
1579C23—221no—
1580C23—221no—
1581C23—221no—
1582C23—221no—
1583C23—221no—
1584C23—221no—
1585C23—221no—
1586C23—221no—
1587C23—221no—
1588C23—221no—
1589C23—221no—
1590C23C2×D4×D1112yes—
1591C23C2×D4×D1112yes—
1592C23C24×D1111yescharacteristic
1593Q8—882no—
1594D4—44no—
1595D4—82no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—82no—
1601D4—444no—
1602D4—444no—
1603D4—882no—
1604D4—882no—
1605D4—882no—
1606D4—882no—
1607D4—882no—
1608D4—882no—
1609D4—882no—
1610D4—882no—
1611D4—882no—
1612D4—882no—
1613D4—882no—
1614D4—882no—
1615D4—882no—
1616D4—882no—
1617D4—882no—
1618D4—882no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—44no—
1648C2×C4—44no—
1649C2×C4—112no—
1650C2×C4—112no—
1651C2×C4—112no—
1652C2×C4—112no—
1653C2×C4—112no—
1654C2×C4—112no—
1655C2×C4—221no—
1656C2×C4—221no—
1657C2×C4—221no—
1658C2×C4—221no—
1659C2×C4—221no—
1660C2×C4—221no—
1661C2×C4—221no—
1662C2×C4—221no—
1663C2×C4—221no—
1664C2×C4—221no—
1665C2×C4—221no—
1666C2×C4—221no—
1667C2×C4—221no—
1668C2×C4—221no—
1669C2×C4—221no—
1670C2×C4—221no—
1671C2×C4—221no—
1672C2×C4—221no—
1673C2×C4—221no—
1674C2×C4—221no—
1675C2×C4—221no—
1676C2×C4—221no—
1677C2×C4—221no—
1678C2×C4—221no—
1679C2×C4—221no—
1680C2×C4—221no—
1681C2×C4—221no—
1682C2×C4—221no—
1683C2×C4—221no—
1684C2×C4—221no—
1685C2×C4—221no—
1686C2×C4—221no—
1687C2×C4—221no—
1688C2×C4—444no—
1689C2×C4—444no—
1690C2×C4—444no—
1691C2×C4—882no—
1692C2×C4—882no—
1693C2×C4—882no—
1694C2×C4—882no—
1695C2×C4C2×D4×D1112yes—
1696C2×C4#6703712yes—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—88no—
1733C22—441no—
1734C22—441no—
1735C22—441no—
1736C22—441no—
1737C22—441no—
1738C22—441no—
1739C22—441no—
1740C22—441no—
1741C22—441no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—441no—
1750C22—441no—
1751C22—441no—
1752C22—441no—
1753C22—441no—
1754C22C22×D4×D1111yescharacteristic
1755C22C2×#6703711yescharacteristic
1756C22#1062345311yescharacteristic
1757C22D11×H(5,𝔽2)11yescharacteristic
1758C22D11×H(5,𝔽2)11yescharacteristic
1759C22#1062345511yescharacteristic
1760C22#1062345511yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—222no—
1772C4—222no—
1773C4—222no—
1774C4—222no—
1775C4—222no—
1776C4—222no—
1777C4—441no—
1778C4—441no—
1779C4—441no—
1780C4—441no—
1781C4—441no—
1782C4—441no—
1783C4—441no—
1784C2—42no—
1785C2—42no—
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—881no—
1790C2—881no—
1791C2—881no—
1792C2#1308194211yescharacteristic
1793C2#1308237611yescharacteristic
1794C2#1308238811yescharacteristic
1795C2#1308279711yescharacteristic
1796C2#1308292711yescharacteristic
1797C2#1308303311yescharacteristic
1798C2#1308319811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2668C2
hypercenter#2668D11
hypocenterC11#36744
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2668

Complements

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

NH ≅ G/Ntype
1. C2×#10623150C2semidirect
2. C2×#10623124C2semidirect
3. #13076959C2semidirect
4. #13076944C2semidirect
5. #13075518C2semidirect
6. #13075415C2semidirect
7. #13075141C2semidirect
8. #13074970C2semidirect
9. #13074952C2semidirect
10. #13074945C2semidirect
11. #13074911C2semidirect
12. #13074908C2semidirect
13. #13074880C2semidirect
14. #13074879C2semidirect
15. #13074860C2semidirect
16. #13074853C2semidirect
17. #13074846C2semidirect
18. #13074833C2semidirect
19. #13074830C2semidirect
20. #13074743C2semidirect
21. #13074741C2semidirect
22. #13074299C2semidirect
23. #13074246C2semidirect
24. #13074223C2semidirect
25. #13074209C2semidirect
26. #13073551C2semidirect
27. #13073544C2semidirect
28. #13072029C2semidirect
29. #13072003C2semidirect
30. #13071056C2semidirect
31. C11×#2668C2semidirect
47. C2×#66992C22semidirect
48. C2×#66992C22semidirect
51. C2×#66991C22semidirect
56. C2×#66983C22semidirect
57. C2×#66983C22semidirect
58. C2×#66979C22semidirect
59. C22×C4×Dic11C22semidirect
62. C2×#66949C22semidirect
63. C2×#66949C22semidirect
64. C2×#66946C22semidirect
65. C2×#66943C22semidirect
68. C2×#66939C22semidirect
72. C2×#66937C22semidirect
75. C2×#66936C22semidirect
100. #10622835C22semidirect
104. #10622826C22semidirect
105. #10622826C22semidirect
106. #10622823C22semidirect
107. #10622823C22semidirect
108. #10622605C22semidirect
109. #10622601C22semidirect
110. #10622601C22semidirect
111. #10622597C22semidirect
112. #10622594C22semidirect
113. #10622593C22semidirect
114. #10622589C22semidirect
115. #10622585C22semidirect
118. #10622574C22semidirect
124. #10622573C22semidirect
130. #10622572C22semidirect
131. #10622572C22semidirect
139. #10622570C22semidirect
140. #10622570C22semidirect
141. #10622570C22semidirect
153. #10622561C22semidirect
154. #10622560C22semidirect
156. #10622559C22semidirect
161. #10622557C22semidirect
162. #10622555C22semidirect
164. C22⋊C4×Dic11C22semidirect
165. #10622288C22semidirect
166. #10622285C22semidirect
167. #10622284C22semidirect
168. #10622283C22semidirect
169. #10622283C22semidirect
170. #10622282C22semidirect
171. #10622282C22semidirect
172. #10622282C22semidirect
173. #10622282C22semidirect
174. #10622281C22semidirect
175. #10622281C22semidirect
176. #10622281C22semidirect
177. #10622280C22semidirect
178. #10622278C22semidirect
179. #10622274C22semidirect
180. #10622270C22semidirect
181. #10622269C22semidirect
182. #10622267C22semidirect
183. #10622266C22semidirect
184. #10622266C22semidirect
185. #10622262C22semidirect
186. #10622261C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
288. D4×Dic11D4semidirect
649. #2668D11semidirect
1528. C11#36744semidirect

Maximal subgroups

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

subgroupindex
C2×#106231502
C2×#106231242
#130769592
#130769442
#130755182
#130754152
#130751412
#130749702
#130749522
#130749452
#130749112
#130749082
#130748802
#130748792
#130748602
#130748532
#130748462
#130748332
#130748302
#130747432
#130747412
#130742992
#130742462
#130742232
#130742092
#130735512
#130735442
#130720292
#130720032
#130710562
C11×#26682
#3674411