Finite Group Databasebeta

← #14961275

Subgroups — #14961275

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×#10623146C211yesmaximal, characteristic, complemented
2C2×#10623124C211yesmaximal, characteristic, complemented
3#13076958C211yesmaximal, characteristic, complemented
4#13076943C211yesmaximal, characteristic, complemented
5#13075508C211yesmaximal, characteristic, complemented
6#13075405C211yesmaximal, characteristic, complemented
7#13075135C211yesmaximal, characteristic, complemented
8#13074962C211yesmaximal, characteristic, complemented
9#13074954C211yesmaximal, characteristic, complemented
10#13074937C211yesmaximal, characteristic, complemented
11#13074924C211yesmaximal, characteristic, complemented
12#13074908C211yesmaximal, characteristic, complemented
13#13074888C211yesmaximal, characteristic, complemented
14#13074876C211yesmaximal, characteristic, complemented
15#13074871C211yesmaximal, characteristic, complemented
16#13074854C211yesmaximal, characteristic, complemented
17#13074848C211yesmaximal, characteristic, complemented
18#13074830C211yesmaximal, characteristic, complemented
19#13074820C211yesmaximal, characteristic, complemented
20#13074751C211yesmaximal, characteristic, complemented
21#13074747C211yesmaximal, characteristic, complemented
22#13074296C211yesmaximal, characteristic, complemented
23#13074240C211yesmaximal, characteristic, complemented
24#13074221C211yesmaximal, characteristic, complemented
25#13074206C211yesmaximal, characteristic, complemented
26#13073552C211yesmaximal, characteristic, complemented
27#13073544C211yesmaximal, characteristic, complemented
28#13072027C211yesmaximal, characteristic, complemented
29#13071997C211yesmaximal, characteristic, complemented
30#13071058C211yesmaximal, characteristic, complemented
31C11×#2669C211yesmaximal, characteristic, complemented
32C2×C11×#127C2211yescharacteristic
33C2×C11×#121C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×C11×#120C2211yescharacteristic
36C2×C11×#120C2211yescharacteristic
37C2×C11×#120C2211yescharacteristic
38C2×#67006C2211yescharacteristic
39C2×#67006C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C2×#66993C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic
45C2×#66992C2211yescharacteristic
46C2×#66992C2211yescharacteristic, complemented
47C2×#66992C2211yescharacteristic, complemented
48C2×#66991C2211yescharacteristic
49C2×#66991C2211yescharacteristic
50C2×#66991C2211yescharacteristic
51C2×#66991C2211yescharacteristic
52C2×#66991C2211yescharacteristic, complemented
53C2×#66991C2211yescharacteristic, complemented
54C2×#66991C2211yescharacteristic, complemented
55C2×#66989C2211yescharacteristic
56C2×#66988C2211yescharacteristic
57C2×#66988C2211yescharacteristic
58C2×#66988C2211yescharacteristic
59C2×D4×Dic11C2211yescharacteristic
60C2×#66982C2211yescharacteristic, complemented
61C2×C4×C22⋊D11C2211yescharacteristic, complemented
62C2×#66977C2211yescharacteristic, complemented
63#10623146—28no—
64#10623124—28no—
65C2×#66950C2211yescharacteristic, complemented
66C2×#66947C2211yescharacteristic, complemented
67C2×#66942C2211yescharacteristic, complemented
68C2×#66939C2211yescharacteristic
69C2×#66938C2211yescharacteristic
70C2×#66937C2211yescharacteristic
71C2×#66937C2211yescharacteristic, complemented
72C2×#66936C2211yescharacteristic
73C2×#66936C2211yescharacteristic
74C2×(C22⋊D11)⋊C4C2211yescharacteristic
75C2×#66932C2211yescharacteristic
76C2×#66932C2211yescharacteristic
77C2×#66931C2211yescharacteristic
78C2×#66930C2211yescharacteristic
79C2×#66930C2211yescharacteristic, complemented
80C2×C42×D11C2211yescharacteristic, complemented
81C11×#394C2211yescharacteristic
82C11×#394C2211yescharacteristic
83C11×#392C2211yescharacteristic
84C11×#392C2211yescharacteristic
85C11×#392C2211yescharacteristic
86C11×#392C2211yescharacteristic
87C11×#388C2211yescharacteristic
88C11×#388C2211yescharacteristic
89C11×#386C2211yescharacteristic
90#10622860C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622836C2211yescharacteristic
93#10622836C2211yescharacteristic
94#10622836C2211yescharacteristic
95#10622836C2211yescharacteristic
96#10622836C2211yescharacteristic
97#10622836C2211yescharacteristic
98#10622836C2211yescharacteristic
99#10622836C2211yescharacteristic, complemented
100#10622835C2211yescharacteristic
101#10622835C2211yescharacteristic
102#10622835C2211yescharacteristic
103#10622835C2211yescharacteristic
104#10622835C2211yescharacteristic
105#10622835C2211yescharacteristic
106#10622835C2211yescharacteristic, complemented
107#10622834C2211yescharacteristic
108#10622834C2211yescharacteristic
109#10622834C2211yescharacteristic
110#10622834C2211yescharacteristic
111#10622834C2211yescharacteristic
112#10622834C2211yescharacteristic, complemented
113#10622834C2211yescharacteristic, complemented
114#10622834C2211yescharacteristic, complemented
115#10622833C2211yescharacteristic
116#10622833C2211yescharacteristic
117#10622833C2211yescharacteristic
118#10622833C2211yescharacteristic, complemented
119#10622833C2211yescharacteristic, complemented
120#10622823C2211yescharacteristic, complemented
121#10622602C2211yescharacteristic, complemented
122#10622596C2211yescharacteristic, complemented
123#10622596C2211yescharacteristic, complemented
124C4⋊C4×Dic11C2211yescharacteristic, complemented
125#10622585C2211yescharacteristic, complemented
126#10622574C2211yescharacteristic
127#10622574C2211yescharacteristic, complemented
128#10622574C2211yescharacteristic, complemented
129#10622573C2211yescharacteristic
130#10622573C2211yescharacteristic, complemented
131#10622572C2211yescharacteristic
132#10622572C2211yescharacteristic, complemented
133#10622572C2211yescharacteristic, complemented
134#10622570C2211yescharacteristic
135#10622570C2211yescharacteristic
136#10622570C2211yescharacteristic
137#10622570C2211yescharacteristic, complemented
138#10622570C2211yescharacteristic, complemented
139#10622569C2211yescharacteristic
140#10622569C2211yescharacteristic
141#10622569C2211yescharacteristic
142#10622569C2211yescharacteristic
143#10622566C2211yescharacteristic
144#10622566C2211yescharacteristic
145#10622565C2211yescharacteristic
146#10622564C2211yescharacteristic
147#10622564C2211yescharacteristic
148#10622564C2211yescharacteristic, complemented
149#10622564C2211yescharacteristic, complemented
150#10622564C2211yescharacteristic, complemented
151#10622563C2211yescharacteristic
152#10622562C2211yescharacteristic
153#10622562C2211yescharacteristic
154#10622562C2211yescharacteristic
155#10622562C2211yescharacteristic, complemented
156#10622561C2211yescharacteristic
157#10622561C2211yescharacteristic
158#10622561C2211yescharacteristic
159#10622561C2211yescharacteristic, complemented
160#10622560C2211yescharacteristic, complemented
161#10622559C2211yescharacteristic, complemented
162#10622559C2211yescharacteristic, complemented
163#10622558C2211yescharacteristic
164#10622558C2211yescharacteristic, complemented
165#10622557C2211yescharacteristic
166#10622557C2211yescharacteristic
167#10622557C2211yescharacteristic, complemented
168#10622555C2211yescharacteristic, complemented
169C22⋊C4×Dic11C2211yescharacteristic
170#10622553C2211yescharacteristic, complemented
171#10622548C2211yescharacteristic, complemented
172#10622546C2211yescharacteristic, complemented
173#10622287C2211yescharacteristic, complemented
174#10622283C2211yescharacteristic, complemented
175#10622281C2211yescharacteristic, complemented
176#10622281C2211yescharacteristic, complemented
177#10622280C2211yescharacteristic, complemented
178#10622279C2211yescharacteristic, complemented
179#10622278C2211yescharacteristic, complemented
180#10622274C2211yescharacteristic, complemented
181#10622270C2211yescharacteristic, complemented
182#10622269C2211yescharacteristic, complemented
183#10622267C2211yescharacteristic, complemented
184#10622267C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, 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
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C22×D4×C11C2311yescharacteristic
201C22×D4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
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
214C22×C22⋊D11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C22×D44C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×Dic22C2311yescharacteristic
225C11×#127—42no—
226C11×#121—24no—
227C11×#121—42no—
228C11×#120—24no—
229C11×#120—42no—
230C11×#120—42no—
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊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×C42×C11C2311yescharacteristic
248#67006—24no—
249#67006—42no—
250C2×C22⋊Dic11—24no—
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
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281C2×C22⋊Dic11C2311yescharacteristic
282C2×C22⋊Dic11C2311yescharacteristic
283#66993—24no—
284#66992—24no—
285#66992—24no—
286#66992—24no—
287#66992—24no—
288#66992—24no—
289#66992—42no—
290#66991—24no—
291#66991—24no—
292#66991—42no—
293#66991—42no—
294#66991—42no—
295#66991—42no—
296#66991—42no—
297#66989—24no—
298#66988—24no—
299#66988—24no—
300#66988—42no—
301D4×Dic11—24no—
302#66982—24no—
303C4×C22⋊D11—24no—
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
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×C4⋊Dic11C2311yescharacteristic
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
326#66977—42no—
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×Dic11⋊C4C2311yescharacteristic
341C2×Dic11⋊C4C2311yescharacteristic
342C2×Dic11⋊C4C2311yescharacteristic
343C2×C4×Dic11C2311yescharacteristic
344C2×C4×Dic11C2311yescharacteristic
345C2×C4×Dic11C2311yescharacteristic
346C2×C4×Dic11C2311yescharacteristic
347C2×C4×Dic11C2311yescharacteristic
348C2×C4×Dic11C2311yescharacteristic
349C2×C4×Dic11C2311yescharacteristic
350C2×C4×Dic11C2311yescharacteristic
351#66950—42no—
352#66947—24no—
353#66942—24no—
354#66939—42no—
355#66938—24no—
356#66937—24no—
357#66937—42no—
358#66936—24no—
359#66936—24no—
360(C22⋊D11)⋊C4D418yescomplemented
361#66932—24no—
362#66932—24no—
363#66931—24no—
364#66930—24no—
365#66930—42no—
366C42×D11—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
404C24×C11C2411yescharacteristic
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—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—
427C2×D4×C11—41no—
428C2×D4×C11—41no—
429C2×D4×C11—41no—
430C2×D4×C11—41no—
431C2×D4×C11—41no—
432C2×D4×C11—41no—
433C2×D4×C11—41no—
434C2×D4×C11—41no—
435C2×D4×C11—41no—
436C2×D4×C11—41no—
437C2×D4×C11—41no—
438C2×D4×C11—41no—
439C2×D4×C11—41no—
440C2×D4×C11—41no—
441C2×D4×C11—41no—
442C2×D4×C11—41no—
443C22×C4×C11—22no—
444C22×C4×C11—41no—
445C22×C4×C11—41no—
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
455C2×C22⋊D11—22no—
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—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—
489C2×C22⋊D11—41no—
490C2×C22⋊D11C2×D414yes—
491C22×Dic11—22no—
492C22×Dic11—22no—
493C22×Dic11—22no—
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×Dic11C2411yescharacteristic
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
517C2×D44—22no—
518C2×D44—41no—
519C2×D44—41no—
520C2×C4×D11—22no—
521C2×C4×D11—22no—
522C2×C4×D11—22no—
523C2×C4×D11—22no—
524C2×C4×D11—41no—
525C2×C4×D11—41no—
526C2×C4×D11—41no—
527C2×C4×D11—41no—
528C2×C4×D11—41no—
529C2×C4×D11—41no—
530C2×C4×D11—41no—
531C2×C4×D11C2×D414yes—
532C2×Dic22—22no—
533C2×Dic22—41no—
534C2×Dic22—41no—
535C11×C4⋊C4—22no—
536C11×C4⋊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—
548C11×C22⋊C4—41no—
549C11×C22⋊C4—41no—
550C11×C22⋊C4C2×D414yes—
551C42×C11—22no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
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—22no—
569C22⋊Dic11—22no—
570C22⋊Dic11—41no—
571C22⋊Dic11—41no—
572C22⋊Dic11—41no—
573C22⋊Dic11—41no—
574C22⋊Dic11—41no—
575C22⋊Dic11—41no—
576C22⋊Dic11—41no—
577C22⋊Dic11—41no—
578C22⋊Dic11—41no—
579C22⋊Dic11—41no—
580C22⋊Dic11—41no—
581C22⋊Dic11—41no—
582C22⋊Dic11—41no—
583C22⋊Dic11—41no—
584(C2×D11)⋊C4—22no—
585(C2×D11)⋊C4—22no—
586(C2×D11)⋊C4—22no—
587(C2×D11)⋊C4—22no—
588(C2×D11)⋊C4—22no—
589(C2×D11)⋊C4—22no—
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)⋊C4C2×D414yes—
596C4⋊Dic11—22no—
597C4⋊Dic11—22no—
598C4⋊Dic11—22no—
599C4⋊Dic11—22no—
600C4⋊Dic11—22no—
601C4⋊Dic11—22no—
602C4⋊Dic11—41no—
603C4⋊Dic11—41no—
604C4⋊Dic11—41no—
605C4⋊Dic11—41no—
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—22no—
615Dic11⋊C4—22no—
616Dic11⋊C4—41no—
617Dic11⋊C4—41no—
618Dic11⋊C4—41no—
619Dic11⋊C4—41no—
620Dic11⋊C4—41no—
621Dic11⋊C4C2×D414yes—
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#2669D1111yescharacteristic, complemented
649#2668—111no—
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—21no—
695C23×C11—21no—
696C23×C11—21no—
697C23×C11—21no—
698C23×C11—21no—
699C23×C11—21no—
700C23×C11—21no—
701C23×C11—21no—
702C23×C11—44no—
703C23×C11—82no—
704C23×C11—82no—
705C23×C11—82no—
706C23×C11—82no—
707C23×C11—82no—
708C23×C11—82no—
709C23×C11C22×D412yes—
710C23×C11C2511yescharacteristic
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×D11C22×D412yes—
725D4×C11—44no—
726D4×C11—82no—
727D4×C11—82no—
728D4×C11—82no—
729D4×C11—82no—
730D4×C11—82no—
731D4×C11—82no—
732D4×C11—82no—
733D4×C11—82no—
734D4×C11—82no—
735D4×C11—82no—
736D4×C11—82no—
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—82no—
761C2×C4×C11C22×D412yes—
762C2×C4×C11C22×D412yes—
763C2×C4×C11H(5,𝔽2)12yes—
764C2×C4×C11H(5,𝔽2)12yes—
765C22⋊D11—44no—
766C22⋊D11—44no—
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—
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—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—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—44no—
816C2×Dic11—44no—
817C2×Dic11—82no—
818C2×Dic11—82no—
819C2×Dic11C22×D412yes—
820C2×Dic11C22×D412yes—
821C2×Dic11C22×D412yes—
822C2×Dic11H(5,𝔽2)12yes—
823D44—82no—
824C4×D11—44no—
825C4×D11—44no—
826C4×D11—44no—
827C4×D11—82no—
828Dic22—82no—
829#540—228no—
830#538—228no—
831C2×#127—111no—
832C2×#127C2×D1111yescharacteristic
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×#120C2×D1111yescharacteristic
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#399—111no—
882#398—111no—
883#398—111no—
884#398—111no—
885#398—111no—
886#397—111no—
887#397—111no—
888#397—111no—
889#397—111no—
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#392C2×D1111yescharacteristic
923#392C2×D1111yescharacteristic
924#392C2×D1111yescharacteristic
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#388C2×D1111yescharacteristic
955#388C2×D1111yescharacteristic
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#386—111no—
968#386—111no—
969#386—111no—
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#379—111no—
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—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—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—41no—
1022C22×C11—41no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11—41no—
1028C22×C11—88no—
1029C22×C11C23×D411yescharacteristic
1030C22×C11C2×H(5,𝔽2)11yescharacteristic
1031C22×C11C2×H(5,𝔽2)11yescharacteristic
1032C22×C11C2×H(5,𝔽2)11yescharacteristic
1033C22×C11#58511yescharacteristic
1034C22×C11#58511yescharacteristic
1035C22×C11#58511yescharacteristic
1036C2×D11—22no—
1037C2×D11—22no—
1038C2×D11—22no—
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—22no—
1053C4×C11—22no—
1054C4×C11—41no—
1055C4×C11—41no—
1056C4×C11—41no—
1057C4×C11—41no—
1058C4×C11—41no—
1059Dic11—22no—
1060Dic11—22no—
1061Dic11—22no—
1062Dic11—22no—
1063Dic11—41no—
1064Dic11—41no—
1065Dic11—41no—
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×D4C22×D1111yescharacteristic
1089C22×D4C22×D1111yescharacteristic
1090C22×D4C22×D1111yescharacteristic
1091C22×D4C22×D1111yescharacteristic
1092C22×D4C22×D1111yescharacteristic
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×C4—111no—
1108C23×C4C22×D1111yescharacteristic
1109#127—42no—
1110#127—224no—
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—42no—
1147#120—224no—
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⋊C4—111no—
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—111no—
1225C2×C22⋊C4—111no—
1226C2×C22⋊C4—224no—
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—442no—
1250C2×C42C22×D1111yescharacteristic
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#95—111no—
1270#95—111no—
1271#95C22×D1111yescharacteristic
1272#95C22×D1111yescharacteristic
1273#95C22×D1111yescharacteristic
1274#95C22×D1111yescharacteristic
1275C2×C11—42no—
1276C2×C11—81no—
1277C2×C11—81no—
1278C2×C11—81no—
1279C2×C11—81no—
1280C2×C11—81no—
1281C2×C11#344911yescharacteristic
1282C2×C11#349611yescharacteristic
1283C2×C11#349811yescharacteristic
1284C2×C11#353411yescharacteristic
1285C2×C11#354211yescharacteristic
1286C2×C11#355111yescharacteristic
1287C2×C11#356211yescharacteristic
1288D11—42no—
1289D11—81no—
1290C24—22no—
1291C24—41no—
1292C24—41no—
1293C24—41no—
1294C24—41no—
1295C24—41no—
1296C24—41no—
1297C24—111no—
1298C24—111no—
1299C24C23×D1111yescharacteristic
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—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
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—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—114no—
1345C2×D4—222no—
1346C2×D4—222no—
1347C2×D4—222no—
1348C2×D4—222no—
1349C2×D4—222no—
1350C2×D4—222no—
1351C2×D4—222no—
1352C2×D4—222no—
1353C2×D4—222no—
1354C2×D4—222no—
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×D4—441no—
1383C22×C4—22no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—111no—
1387C22×C4—111no—
1388C22×C4—111no—
1389C22×C4—111no—
1390C22×C4—114no—
1391C22×C4—114no—
1392C22×C4—111no—
1393C22×C4—111no—
1394C22×C4—111no—
1395C22×C4—111no—
1396C22×C4—111no—
1397C22×C4—111no—
1398C22×C4—111no—
1399C22×C4—111no—
1400C22×C4—111no—
1401C22×C4—111no—
1402C22×C4—222no—
1403C22×C4—222no—
1404C22×C4—222no—
1405C22×C4—222no—
1406C22×C4—222no—
1407C22×C4—222no—
1408C22×C4—222no—
1409C22×C4—441no—
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×C4—441no—
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—114no—
1436C4⋊C4—222no—
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—441no—
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—114no—
1475C22⋊C4—222no—
1476C22⋊C4—222no—
1477C22⋊C4—222no—
1478C22⋊C4—222no—
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—441no—
1500C22⋊C4—441no—
1501C22⋊C4—441no—
1502C22⋊C4—441no—
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⋊C4D4×D1114yes—
1519C42—22no—
1520C42—114no—
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—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—44no—
1571C23—82no—
1572C23—82no—
1573C23—82no—
1574C23—82no—
1575C23—82no—
1576C23—82no—
1577C23—112no—
1578C23—221no—
1579C23—221no—
1580C23—221no—
1581C23—221no—
1582C23—221no—
1583C23—221no—
1584C23—221no—
1585C23—221no—
1586C23—221no—
1587C23—221no—
1588C23—221no—
1589C23—221no—
1590C23—221no—
1591C23C2×D4×D1112yes—
1592C23C24×D1111yescharacteristic
1593Q8—882no—
1594D4—44no—
1595D4—82no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—82no—
1601D4—82no—
1602D4—82no—
1603D4—82no—
1604D4—82no—
1605D4—82no—
1606D4—444no—
1607D4—444no—
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—82no—
1643C2×C4—112no—
1644C2×C4—112no—
1645C2×C4—112no—
1646C2×C4—112no—
1647C2×C4—221no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—221no—
1651C2×C4—221no—
1652C2×C4—221no—
1653C2×C4—221no—
1654C2×C4—221no—
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—444no—
1686C2×C4—444no—
1687C2×C4—444no—
1688C2×C4—444no—
1689C2×C4—444no—
1690C2×C4—882no—
1691C2×C4—882no—
1692C2×C4—882no—
1693C2×C4C2×D4×D1112yes—
1694C2×C4C2×D4×D1112yes—
1695C2×C4#6703712yes—
1696C2×C4#6703712yes—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
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—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—88no—
1740C22—222no—
1741C22—222no—
1742C22—222no—
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
1756C22C2×#6703711yescharacteristic
1757C22D11×H(5,𝔽2)11yescharacteristic
1758C22#1062345511yescharacteristic
1759C22#1062345511yescharacteristic
1760C22#1062345511yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—222no—
1771C4—222no—
1772C4—222no—
1773C4—222no—
1774C4—441no—
1775C4—441no—
1776C4—441no—
1777C4—441no—
1778C4—441no—
1779C4—441no—
1780C4—441no—
1781C4—441no—
1782C4—441no—
1783C4—441no—
1784C2—42no—
1785C2—81no—
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—81no—
1790C2—442no—
1791C2—881no—
1792C2#1308194711yescharacteristic
1793C2#1308237211yescharacteristic
1794C2#1308238811yescharacteristic
1795C2#1308279611yescharacteristic
1796C2#1308293711yescharacteristic
1797C2#1308303511yescharacteristic
1798C2#1308320011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2669C2
hypercenter#2669D11
hypocenterC11#36744
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2669

Complements

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

NH ≅ G/Ntype
1. C2×#10623146C2semidirect
2. C2×#10623124C2semidirect
3. #13076958C2semidirect
4. #13076943C2semidirect
5. #13075508C2semidirect
6. #13075405C2semidirect
7. #13075135C2semidirect
8. #13074962C2semidirect
9. #13074954C2semidirect
10. #13074937C2semidirect
11. #13074924C2semidirect
12. #13074908C2semidirect
13. #13074888C2semidirect
14. #13074876C2semidirect
15. #13074871C2semidirect
16. #13074854C2semidirect
17. #13074848C2semidirect
18. #13074830C2semidirect
19. #13074820C2semidirect
20. #13074751C2semidirect
21. #13074747C2semidirect
22. #13074296C2semidirect
23. #13074240C2semidirect
24. #13074221C2semidirect
25. #13074206C2semidirect
26. #13073552C2semidirect
27. #13073544C2semidirect
28. #13072027C2semidirect
29. #13071997C2semidirect
30. #13071058C2semidirect
31. C11×#2669C2semidirect
46. C2×#66992C22semidirect
47. C2×#66992C22semidirect
52. C2×#66991C22semidirect
53. C2×#66991C22semidirect
54. C2×#66991C22semidirect
60. C2×#66982C22semidirect
61. C2×C4×C22⋊D11C22semidirect
62. C2×#66977C22semidirect
65. C2×#66950C22semidirect
66. C2×#66947C22semidirect
67. C2×#66942C22semidirect
71. C2×#66937C22semidirect
79. C2×#66930C22semidirect
80. C2×C42×D11C22semidirect
99. #10622836C22semidirect
106. #10622835C22semidirect
112. #10622834C22semidirect
113. #10622834C22semidirect
114. #10622834C22semidirect
118. #10622833C22semidirect
119. #10622833C22semidirect
120. #10622823C22semidirect
121. #10622602C22semidirect
122. #10622596C22semidirect
123. #10622596C22semidirect
124. C4⋊C4×Dic11C22semidirect
125. #10622585C22semidirect
127. #10622574C22semidirect
128. #10622574C22semidirect
130. #10622573C22semidirect
132. #10622572C22semidirect
133. #10622572C22semidirect
137. #10622570C22semidirect
138. #10622570C22semidirect
148. #10622564C22semidirect
149. #10622564C22semidirect
150. #10622564C22semidirect
155. #10622562C22semidirect
159. #10622561C22semidirect
160. #10622560C22semidirect
161. #10622559C22semidirect
162. #10622559C22semidirect
164. #10622558C22semidirect
167. #10622557C22semidirect
168. #10622555C22semidirect
170. #10622553C22semidirect
171. #10622548C22semidirect
172. #10622546C22semidirect
173. #10622287C22semidirect
174. #10622283C22semidirect
175. #10622281C22semidirect
176. #10622281C22semidirect
177. #10622280C22semidirect
178. #10622279C22semidirect
179. #10622278C22semidirect
180. #10622274C22semidirect
181. #10622270C22semidirect
182. #10622269C22semidirect
183. #10622267C22semidirect
184. #10622267C22semidirect
185. #10622265C22semidirect
186. #10622261C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
360. (C22⋊D11)⋊C4D4semidirect
648. #2669D11semidirect
1528. C11#36744semidirect

Maximal subgroups

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

subgroupindex
C2×#106231462
C2×#106231242
#130769582
#130769432
#130755082
#130754052
#130751352
#130749622
#130749542
#130749372
#130749242
#130749082
#130748882
#130748762
#130748712
#130748542
#130748482
#130748302
#130748202
#130747512
#130747472
#130742962
#130742402
#130742212
#130742062
#130735522
#130735442
#130720272
#130719972
#130710582
C11×#26692
#3674411