Finite Group Databasebeta

← #14960668

Subgroups — #14960668

Order 2816.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623146C211yesmaximal, characteristic, complemented
2C2×#10623117C211yesmaximal, characteristic, complemented
3#13076906C211yesmaximal, characteristic, complemented
4#13076896C211yesmaximal, characteristic, complemented
5#13075135C211yesmaximal, characteristic, complemented
6#13075127C211yesmaximal, characteristic, complemented
7#13075079C211yesmaximal, characteristic, complemented
8#13075058C211yesmaximal, characteristic, complemented
9#13075035C211yesmaximal, characteristic, complemented
10#13074937C211yesmaximal, characteristic, complemented
11#13074910C211yesmaximal, characteristic, complemented
12#13074908C211yesmaximal, characteristic, complemented
13#13074884C211yesmaximal, characteristic, complemented
14#13074876C211yesmaximal, characteristic, complemented
15#13074861C211yesmaximal, characteristic, complemented
16#13074858C211yesmaximal, characteristic, complemented
17#13074848C211yesmaximal, characteristic, complemented
18#13074830C211yesmaximal, characteristic, complemented
19#13074820C211yesmaximal, characteristic, complemented
20#13074499C211yesmaximal, characteristic, complemented
21#13074452C211yesmaximal, characteristic, complemented
22#13074287C211yesmaximal, characteristic, complemented
23#13074233C211yesmaximal, characteristic, complemented
24#13074179C211yesmaximal, characteristic, complemented
25#13074175C211yesmaximal, characteristic, complemented
26#13073571C211yesmaximal, characteristic, complemented
27#13073515C211yesmaximal, characteristic, complemented
28#13072232C211yesmaximal, characteristic, complemented
29#13072221C211yesmaximal, characteristic, complemented
30#13071246C211yesmaximal, characteristic, complemented
31C11×#2669C211yesmaximal, characteristic, complemented
32C24×Dic11C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C2×C11×#127C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic
36C2×C11×#121C2211yescharacteristic
37C2×C11×#120C2211yescharacteristic
38C2×C11×#120C2211yescharacteristic
39C2×C11×#120C2211yescharacteristic
40C2×#67006C2211yescharacteristic
41C2×#67006C2211yescharacteristic
42C2×#66993C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic
45C2×#66992C2211yescharacteristic
46C2×#66992C2211yescharacteristic
47C2×#66992C2211yescharacteristic
48C2×#66992C2211yescharacteristic
49C2×#66992C2211yescharacteristic, complemented
50C2×#66991C2211yescharacteristic
51C2×#66991C2211yescharacteristic
52C2×#66991C2211yescharacteristic
53C2×#66991C2211yescharacteristic, complemented
54C2×#66989C2211yescharacteristic, complemented
55C2×#66988C2211yescharacteristic
56C2×#66988C2211yescharacteristic
57C2×#66988C2211yescharacteristic
58C2×D4×Dic11C2211yescharacteristic
59C2×D4×Dic11C2211yescharacteristic
60C2×#66982C2211yescharacteristic, complemented
61C2×C4×C22⋊D11C2211yescharacteristic, complemented
62#10623146—28no—
63#10623117—28no—
64C2×#66947C2211yescharacteristic, complemented
65C2×#66942C2211yescharacteristic, complemented
66C2×#66939C2211yescharacteristic
67C2×#66937C2211yescharacteristic
68C2×#66937C2211yescharacteristic, complemented
69C2×#66937C2211yescharacteristic, complemented
70C2×#66936C2211yescharacteristic
71C2×(C22⋊D11)⋊C4C2211yescharacteristic
72C2×(C22⋊D11)⋊C4C2211yescharacteristic
73C2×#66931C2211yescharacteristic
74C2×#66931C2211yescharacteristic
75C2×#66930C2211yescharacteristic
76C2×#66930C2211yescharacteristic, complemented
77C11×#394C2211yescharacteristic
78C11×#394C2211yescharacteristic
79C11×#392C2211yescharacteristic
80C11×#392C2211yescharacteristic
81C11×#392C2211yescharacteristic
82C11×#392C2211yescharacteristic
83C11×#388C2211yescharacteristic
84C11×#388C2211yescharacteristic
85C11×#386C2211yescharacteristic
86#10622860C2211yescharacteristic
87#10622836C2211yescharacteristic
88#10622836C2211yescharacteristic
89#10622836C2211yescharacteristic
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622836C2211yescharacteristic
93#10622836C2211yescharacteristic, complemented
94#10622836C2211yescharacteristic, complemented
95#10622836C2211yescharacteristic, complemented
96#10622836C2211yescharacteristic, complemented
97#10622835C2211yescharacteristic
98#10622835C2211yescharacteristic
99#10622835C2211yescharacteristic
100#10622835C2211yescharacteristic
101#10622835C2211yescharacteristic, complemented
102#10622835C2211yescharacteristic, complemented
103#10622834C2211yescharacteristic
104#10622833C2211yescharacteristic
105#10622833C2211yescharacteristic
106#10622833C2211yescharacteristic
107#10622833C2211yescharacteristic
108#10622833C2211yescharacteristic
109#10622833C2211yescharacteristic
110#10622833C2211yescharacteristic
111#10622833C2211yescharacteristic
112#10622833C2211yescharacteristic
113#10622833C2211yescharacteristic, complemented
114#10622833C2211yescharacteristic, complemented
115#10622833C2211yescharacteristic, complemented
116#10622825C2211yescharacteristic, complemented
117#10622823C2211yescharacteristic, complemented
118#10622602C2211yescharacteristic, complemented
119#10622600C2211yescharacteristic, complemented
120#10622596C2211yescharacteristic, complemented
121#10622592C2211yescharacteristic, complemented
122#10622590C2211yescharacteristic, complemented
123#10622585C2211yescharacteristic, complemented
124#10622574C2211yescharacteristic
125#10622574C2211yescharacteristic, complemented
126#10622573C2211yescharacteristic
127#10622572C2211yescharacteristic
128#10622572C2211yescharacteristic, complemented
129#10622571C2211yescharacteristic
130#10622571C2211yescharacteristic
131#10622571C2211yescharacteristic
132#10622571C2211yescharacteristic, complemented
133#10622570C2211yescharacteristic
134#10622569C2211yescharacteristic
135#10622569C2211yescharacteristic
136#10622569C2211yescharacteristic
137#10622569C2211yescharacteristic
138#10622569C2211yescharacteristic, complemented
139#10622569C2211yescharacteristic, complemented
140#10622569C2211yescharacteristic, complemented
141#10622566C2211yescharacteristic
142#10622566C2211yescharacteristic
143#10622565C2211yescharacteristic
144#10622565C2211yescharacteristic, complemented
145#10622564C2211yescharacteristic
146#10622564C2211yescharacteristic
147#10622564C2211yescharacteristic, complemented
148#10622564C2211yescharacteristic, complemented
149#10622562C2211yescharacteristic
150#10622562C2211yescharacteristic, complemented
151#10622562C2211yescharacteristic, complemented
152#10622561C2211yescharacteristic
153#10622561C2211yescharacteristic, complemented
154#10622561C2211yescharacteristic, complemented
155#10622561C2211yescharacteristic, complemented
156#10622559C2211yescharacteristic
157#10622559C2211yescharacteristic
158#10622559C2211yescharacteristic
159#10622559C2211yescharacteristic
160#10622559C2211yescharacteristic, complemented
161#10622559C2211yescharacteristic, complemented
162#10622558C2211yescharacteristic
163#10622558C2211yescharacteristic, complemented
164#10622556C2211yescharacteristic
165#10622556C2211yescharacteristic
166#10622555C2211yescharacteristic
167#10622555C2211yescharacteristic
168#10622555C2211yescharacteristic
169#10622553C2211yescharacteristic, complemented
170C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
171#10622546C2211yescharacteristic, complemented
172#10622542C2211yescharacteristic, complemented
173#10622288C2211yescharacteristic, complemented
174#10622286C2211yescharacteristic, complemented
175#10622285C2211yescharacteristic, complemented
176#10622282C2211yescharacteristic, complemented
177#10622281C2211yescharacteristic, complemented
178#10622281C2211yescharacteristic, complemented
179D11×#95C2211yescharacteristic, complemented
180#10622274C2211yescharacteristic, complemented
181#10622273C2211yescharacteristic, complemented
182#10622272C2211yescharacteristic, complemented
183#10622271C2211yescharacteristic, complemented
184#10622270C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, complemented
187#10622265C2211yescharacteristic, complemented
188#10622264C2211yescharacteristic, 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×Dic11—24no—
216C23×Dic11—42no—
217C23×Dic11—42no—
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C23×Dic11C2311yescharacteristic
222C23×Dic11C2311yescharacteristic
223C23×Dic11C2311yescharacteristic
224C23×Dic11C2311yescharacteristic
225C23×Dic11C2311yescharacteristic
226C2×#4341—24no—
227C2×#4341—42no—
228C2×#4341—42no—
229C22×D44C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×C4×D11C2311yescharacteristic
234C22×Dic22C2311yescharacteristic
235C11×#127—42no—
236C11×#121—24no—
237C11×#121—42no—
238C11×#120—24no—
239C11×#120—42no—
240C11×#120—42no—
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C42×C11C2311yescharacteristic
258#67006—24no—
259#67006—42no—
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
283C2×C22⋊Dic11C2311yescharacteristic
284C2×C22⋊Dic11C2311yescharacteristic
285C2×C22⋊Dic11C2311yescharacteristic
286C2×C22⋊Dic11C2311yescharacteristic
287C2×C22⋊Dic11C2311yescharacteristic
288#66993—24no—
289#66992—24no—
290#66992—24no—
291#66992—24no—
292#66992—24no—
293#66992—24no—
294#66992—42no—
295#66992—42no—
296#66991—24no—
297#66991—42no—
298#66991—42no—
299#66991—42no—
300#66989—42no—
301#66988—24no—
302#66988—24no—
303#66988—42no—
304D4×Dic11—24no—
305D4×Dic11—24no—
306#66982—24no—
307C4×C22⋊D11—24no—
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×(C2×D11)⋊C4C2311yescharacteristic
317C2×(C2×D11)⋊C4C2311yescharacteristic
318C2×(C2×D11)⋊C4C2311yescharacteristic
319C2×(C2×D11)⋊C4C2311yescharacteristic
320C2×C4⋊Dic11C2311yescharacteristic
321C2×C4⋊Dic11C2311yescharacteristic
322C2×C4⋊Dic11C2311yescharacteristic
323C2×C4⋊Dic11C2311yescharacteristic
324C2×C4⋊Dic11C2311yescharacteristic
325C2×C4⋊Dic11C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×Dic11⋊C4C2311yescharacteristic
332C2×Dic11⋊C4C2311yescharacteristic
333C2×Dic11⋊C4C2311yescharacteristic
334C2×Dic11⋊C4C2311yescharacteristic
335C2×Dic11⋊C4C2311yescharacteristic
336C2×Dic11⋊C4C2311yescharacteristic
337C2×Dic11⋊C4C2311yescharacteristic
338C2×Dic11⋊C4C2311yescharacteristic
339C2×Dic11⋊C4C2311yescharacteristic
340C2×Dic11⋊C4C2311yescharacteristic
341C2×Dic11⋊C4C2311yescharacteristic
342C2×C4×Dic11C2311yescharacteristic
343C2×C4×Dic11C2311yescharacteristic
344C2×C4×Dic11C2311yescharacteristic
345C2×C4×Dic11C2311yescharacteristic
346#66947—24no—
347#66942—24no—
348#66939—24no—
349#66937—24no—
350#66937—42no—
351#66937—42no—
352#66936—24no—
353(C22⋊D11)⋊C4—24no—
354(C22⋊D11)⋊C4D418yescomplemented
355#66931—24no—
356#66931—24no—
357#66930—24no—
358#66930—24no—
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#36713—111nomaximal, Sylow
392C24×C11—22no—
393C24×C11—22no—
394C24×C11—22no—
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—22no—
418C2×D4×C11—22no—
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—22no—
465C2×C22⋊D11—22no—
466C2×C22⋊D11—22no—
467C2×C22⋊D11—22no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C2×C22⋊D11—41no—
475C2×C22⋊D11—41no—
476C2×C22⋊D11—41no—
477C2×C22⋊D11—41no—
478C2×C22⋊D11—41no—
479C2×C22⋊D11—41no—
480C2×C22⋊D11—41no—
481C2×C22⋊D11—41no—
482C2×C22⋊D11—41no—
483C2×C22⋊D11—41no—
484C2×C22⋊D11—41no—
485C2×C22⋊D11—41no—
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—22no—
495C22×Dic11—22no—
496C22×Dic11—22no—
497C22×Dic11—22no—
498C22×Dic11—22no—
499C22×Dic11—22no—
500C22×Dic11—22no—
501C22×Dic11—22no—
502C22×Dic11—22no—
503C22×Dic11—41no—
504C22×Dic11—41no—
505C22×Dic11—41no—
506C22×Dic11—41no—
507C22×Dic11—41no—
508C22×Dic11—41no—
509C22×Dic11—41no—
510C22×Dic11—41no—
511C22×Dic11—41no—
512C22×Dic11—41no—
513C22×Dic11—41no—
514C22×Dic11—416no—
515C22×Dic11C2×D414yes—
516C22×Dic11C2411yescharacteristic
517C22×Dic11C2411yescharacteristic
518C22×Dic11C2411yescharacteristic
519C22×Dic11C2411yescharacteristic
520C22×Dic11C2411yescharacteristic
521C22×Dic11C2411yescharacteristic
522C22×Dic11C2411yescharacteristic
523C22×Dic11C2411yescharacteristic
524C22×Dic11C2411yescharacteristic
525C22×Dic11C2411yescharacteristic
526C22×Dic11C2411yescharacteristic
527C22×Dic11C2411yescharacteristic
528C22×Dic11C2411yescharacteristic
529C22×Dic11C2411yescharacteristic
530#4341—416no—
531C2×D44—22no—
532C2×D44—41no—
533C2×D44—41no—
534C2×C4×D11—22no—
535C2×C4×D11—41no—
536C2×C4×D11—41no—
537C2×C4×D11—41no—
538C2×C4×D11—41no—
539C2×C4×D11—41no—
540C2×C4×D11—41no—
541C2×C4×D11—41no—
542C2×C4×D11—41no—
543C2×C4×D11—41no—
544C2×C4×D11—41no—
545C2×C4×D11C2×D414yes—
546C2×Dic22—22no—
547C2×Dic22—22no—
548C2×Dic22—41no—
549C11×C4⋊C4—22no—
550C11×C4⋊C4—41no—
551C11×C22⋊C4—22no—
552C11×C22⋊C4—22no—
553C11×C22⋊C4—22no—
554C11×C22⋊C4—22no—
555C11×C22⋊C4—22no—
556C11×C22⋊C4—41no—
557C11×C22⋊C4—41no—
558C11×C22⋊C4—41no—
559C11×C22⋊C4—41no—
560C11×C22⋊C4—41no—
561C11×C22⋊C4—41no—
562C11×C22⋊C4—41no—
563C11×C22⋊C4—41no—
564C11×C22⋊C4C2×D414yes—
565C42×C11—41no—
566C22⋊Dic11—22no—
567C22⋊Dic11—22no—
568C22⋊Dic11—22no—
569C22⋊Dic11—22no—
570C22⋊Dic11—22no—
571C22⋊Dic11—22no—
572C22⋊Dic11—22no—
573C22⋊Dic11—22no—
574C22⋊Dic11—22no—
575C22⋊Dic11—22no—
576C22⋊Dic11—22no—
577C22⋊Dic11—22no—
578C22⋊Dic11—22no—
579C22⋊Dic11—41no—
580C22⋊Dic11—41no—
581C22⋊Dic11—41no—
582C22⋊Dic11—41no—
583C22⋊Dic11—41no—
584C22⋊Dic11—41no—
585C22⋊Dic11—41no—
586C22⋊Dic11—41no—
587C22⋊Dic11—41no—
588C22⋊Dic11—41no—
589C22⋊Dic11—41no—
590C22⋊Dic11—41no—
591C22⋊Dic11—41no—
592C22⋊Dic11—41no—
593C22⋊Dic11—41no—
594(C2×D11)⋊C4—22no—
595(C2×D11)⋊C4—22no—
596(C2×D11)⋊C4—22no—
597(C2×D11)⋊C4—22no—
598(C2×D11)⋊C4—22no—
599(C2×D11)⋊C4—41no—
600(C2×D11)⋊C4—41no—
601(C2×D11)⋊C4—41no—
602(C2×D11)⋊C4—41no—
603(C2×D11)⋊C4—41no—
604(C2×D11)⋊C4—41no—
605(C2×D11)⋊C4C2×D414yes—
606C4⋊Dic11—22no—
607C4⋊Dic11—22no—
608C4⋊Dic11—22no—
609C4⋊Dic11—41no—
610C4⋊Dic11—41no—
611C4⋊Dic11—41no—
612Dic11⋊C4—22no—
613Dic11⋊C4—22no—
614Dic11⋊C4—22no—
615Dic11⋊C4—22no—
616Dic11⋊C4—22no—
617Dic11⋊C4—22no—
618Dic11⋊C4—22no—
619Dic11⋊C4—22no—
620Dic11⋊C4—22no—
621Dic11⋊C4—41no—
622Dic11⋊C4—41no—
623Dic11⋊C4—41no—
624Dic11⋊C4—41no—
625Dic11⋊C4—41no—
626Dic11⋊C4—41no—
627Dic11⋊C4C2×D414yes—
628C4×Dic11—22no—
629C4×Dic11—22no—
630C4×Dic11—41no—
631C4×Dic11C2×D414yes—
632C2×#540—111no—
633C2×#525—111no—
634#2849—111no—
635#2847—111no—
636#2694—111no—
637#2693—111no—
638#2690—111no—
639#2688—111no—
640#2687—111no—
641#2678—111no—
642#2676—111no—
643#2675—111no—
644#2673—111no—
645#2673—111no—
646#2672—111no—
647#2671—111no—
648#2671—111no—
649#2669—111no—
650#2669D1111yescharacteristic, complemented
651#2668—111no—
652#2635—111no—
653#2630—111no—
654#2609—111no—
655#2602—111no—
656#2598—111no—
657#2598—111no—
658#2543—111no—
659#2535—111no—
660#2431—111no—
661#2430—111no—
662#2318—111no—
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—44no—
704C23×C11—44no—
705C23×C11—44no—
706C23×C11—44no—
707C23×C11—44no—
708C23×C11—44no—
709C23×C11C22×D412yes—
710C23×C11H(5,𝔽2)12yes—
711C23×C11H(5,𝔽2)12yes—
712C23×C11C2511yescharacteristic
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—
725C22×D11—21no—
726C22×D11C22×D412yes—
727D4×C11—44no—
728D4×C11—44no—
729D4×C11—44no—
730D4×C11—82no—
731D4×C11—82no—
732D4×C11—82no—
733D4×C11—82no—
734D4×C11—82no—
735D4×C11—82no—
736D4×C11—82no—
737D4×C11—82no—
738D4×C11—82no—
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—21no—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—82no—
765C2×C4×C11C22×D412yes—
766C2×C4×C11C22×D412yes—
767C22⋊D11—44no—
768C22⋊D11—44no—
769C22⋊D11—44no—
770C22⋊D11—44no—
771C22⋊D11—44no—
772C22⋊D11—82no—
773C22⋊D11—82no—
774C22⋊D11—82no—
775C22⋊D11—82no—
776C22⋊D11—82no—
777C22⋊D11—82no—
778C22⋊D11—82no—
779C2×Dic11—28no—
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—21no—
816C2×Dic11—21no—
817C2×Dic11—21no—
818C2×Dic11—44no—
819C2×Dic11—44no—
820C2×Dic11—44no—
821C2×Dic11—44no—
822C2×Dic11—44no—
823C2×Dic11—44no—
824C2×Dic11—44no—
825C2×Dic11C22×D412yes—
826C2×Dic11C22×D412yes—
827C2×Dic11C22×D412yes—
828C2×Dic11H(5,𝔽2)12yes—
829D44—82no—
830C4×D11—44no—
831C4×D11—82no—
832C4×D11—82no—
833C4×D11—82no—
834Dic22—44no—
835C22×#41—111no—
836C24×C4—111no—
837#540—228no—
838C2×#127—111no—
839C2×#127C2×D1111yescharacteristic
840C2×#125—111no—
841C2×#124—111no—
842#525—228no—
843C2×#123—111no—
844C2×#123—111no—
845C2×#123—111no—
846C2×#123—111no—
847C2×#123—111no—
848C2×#123—111no—
849C2×#123—111no—
850C2×C22⋊Q8—111no—
851C2×C22⋊Q8—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×#121—111no—
865C2×#121—111no—
866C2×#121C2×D1111yescharacteristic
867C2×#121C2×D1111yescharacteristic
868C2×#120—111no—
869C2×#120—111no—
870C2×#120C2×D1111yescharacteristic
871C2×#120C2×D1111yescharacteristic
872C2×#120C2×D1111yescharacteristic
873C2×C4×D4—111no—
874C2×C4×D4—111no—
875C2×C4×D4—111no—
876C2×C4×D4—111no—
877C2×C4×D4—111no—
878C2×#117—111no—
879C2×#117—111no—
880#400—111no—
881#400—111no—
882#400—111no—
883#399—111no—
884#399—111no—
885#399—111no—
886#398—111no—
887#398—111no—
888#398—111no—
889#397—111no—
890#397—111no—
891#397—111no—
892#397—111no—
893#397—111no—
894#396—111no—
895#396—111no—
896#396—111no—
897#396—111no—
898#395—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#394—111no—
909#394—111no—
910#394C2×D1111yescharacteristic
911#394C2×D1111yescharacteristic
912#393—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#392C2×D1111yescharacteristic
925#392C2×D1111yescharacteristic
926#392C2×D1111yescharacteristic
927#392C2×D1111yescharacteristic
928#391—111no—
929#390—111no—
930#390—111no—
931#389—111no—
932#388—111no—
933#388—111no—
934#388—111no—
935#388—111no—
936#388—111no—
937#388—111no—
938#388—111no—
939#388—111no—
940#388C2×D1111yescharacteristic
941#388C2×D1111yescharacteristic
942#387—111no—
943#387—111no—
944#387—111no—
945#387—111no—
946#386—111no—
947#386—111no—
948#386—111no—
949#386—111no—
950#386—111no—
951#386—111no—
952#386—111no—
953#386—111no—
954#386—111no—
955#386—111no—
956#386—111no—
957#386—111no—
958#386—111no—
959#386—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#386C2×D1111yescharacteristic
970#385—111no—
971#385—111no—
972#385—111no—
973#385—111no—
974#385—111no—
975#385—111no—
976#385—111no—
977#385—111no—
978#385—111no—
979#385—111no—
980#383—111no—
981#382—111no—
982#381—111no—
983#381—111no—
984#380—111no—
985#380—111no—
986#380—111no—
987#380—111no—
988#380—111no—
989#379—111no—
990C4×C22⋊C4—111no—
991C2×#95—111no—
992C22×C11—22no—
993C22×C11—22no—
994C22×C11—22no—
995C22×C11—22no—
996C22×C11—22no—
997C22×C11—22no—
998C22×C11—22no—
999C22×C11—22no—
1000C22×C11—22no—
1001C22×C11—416no—
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—41no—
1029C22×C11—41no—
1030C22×C11—41no—
1031C22×C11—41no—
1032C22×C11—41no—
1033C22×C11—41no—
1034C22×C11—41no—
1035C22×C11C23×D411yescharacteristic
1036C22×C11C2×H(5,𝔽2)11yescharacteristic
1037C22×C11C2×H(5,𝔽2)11yescharacteristic
1038C22×C11C2×H(5,𝔽2)11yescharacteristic
1039C22×C11#58511yescharacteristic
1040C22×C11#58511yescharacteristic
1041C22×C11#58511yescharacteristic
1042C2×D11—22no—
1043C2×D11—22no—
1044C2×D11—22no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C4×C11—22no—
1057C4×C11—22no—
1058C4×C11—41no—
1059C4×C11—41no—
1060C4×C11—41no—
1061C4×C11—41no—
1062C4×C11—41no—
1063C4×C11—41no—
1064C4×C11—41no—
1065Dic11—22no—
1066Dic11—22no—
1067Dic11—22no—
1068Dic11—22no—
1069Dic11—41no—
1070Dic11—41no—
1071Dic11—41no—
1072Dic11—41no—
1073Dic11—41no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11—41no—
1077Dic11—41no—
1078Dic11—41no—
1079C25C22×D1111yescharacteristic
1080C2×#41—224no—
1081C2×#41—442no—
1082C2×#41—442no—
1083C22×Q8—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×D4—111no—
1094C22×D4—111no—
1095C22×D4—111no—
1096C22×D4—111no—
1097C22×D4C22×D1111yescharacteristic
1098C22×D4C22×D1111yescharacteristic
1099C22×D4C22×D1111yescharacteristic
1100C22×D4C22×D1111yescharacteristic
1101C22×D4C22×D1111yescharacteristic
1102C22×D4C22×D1111yescharacteristic
1103C22×D4C22×D1111yescharacteristic
1104C22×D4C22×D1111yescharacteristic
1105C22×D4C22×D1111yescharacteristic
1106C22×D4C22×D1111yescharacteristic
1107C22×D4C22×D1111yescharacteristic
1108C22×D4C22×D1111yescharacteristic
1109C23×C4—111no—
1110C23×C4—111no—
1111C23×C4—111no—
1112C23×C4—111no—
1113C23×C4—111no—
1114C23×C4—111no—
1115C23×C4—111no—
1116C23×C4—111no—
1117C23×C4—111no—
1118C23×C4—111no—
1119C23×C4—111no—
1120C23×C4—111no—
1121C23×C4—224no—
1122C23×C4—442no—
1123C23×C4—442no—
1124C23×C4C22×D1111yescharacteristic
1125#127—42no—
1126#127—224no—
1127#125—224no—
1128#124—442no—
1129#123—224no—
1130#123—224no—
1131#123—224no—
1132#123—224no—
1133#123—224no—
1134#123—224no—
1135#123—442no—
1136C22⋊Q8—224no—
1137C22⋊Q8—224no—
1138#121—24no—
1139#121—42no—
1140#121—224no—
1141#121—224no—
1142#121—224no—
1143#121—224no—
1144#121—224no—
1145#121—224no—
1146#121—224no—
1147#121—442no—
1148#121—442no—
1149#121—442no—
1150#121—442no—
1151#121—442no—
1152#121—442no—
1153#121—442no—
1154#120—24no—
1155#120—42no—
1156#120—42no—
1157#120—224no—
1158#120—442no—
1159C4×D4—118no—
1160C4×D4—224no—
1161C4×D4—224no—
1162C4×D4—224no—
1163C4×D4—224no—
1164#117—224no—
1165#117—224no—
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⋊C4—111no—
1181C2×C4⋊C4—111no—
1182C2×C4⋊C4—111no—
1183C2×C4⋊C4—111no—
1184C2×C4⋊C4—111no—
1185C2×C4⋊C4—111no—
1186C2×C4⋊C4—111no—
1187C2×C4⋊C4—111no—
1188C2×C4⋊C4C22×D1111yescharacteristic
1189C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1227C2×C22⋊C4—111no—
1228C2×C22⋊C4—111no—
1229C2×C22⋊C4—111no—
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×C22⋊C4C22×D1111yescharacteristic
1242C2×C22⋊C4C22×D1111yescharacteristic
1243C2×C22⋊C4C22×D1111yescharacteristic
1244C2×C42—111no—
1245C2×C42—111no—
1246C2×C42—111no—
1247C2×C42—111no—
1248C2×C42C22×D1111yescharacteristic
1249#95—111no—
1250#95—111no—
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#95—111no—
1272#95—111no—
1273#95—111no—
1274#95—111no—
1275#95—111no—
1276#95—111no—
1277#95C22×D1111yescharacteristic
1278#95C22×D1111yescharacteristic
1279#95C22×D1111yescharacteristic
1280#95C22×D1111yescharacteristic
1281C2×C11—42no—
1282C2×C11—42no—
1283C2×C11—42no—
1284C2×C11—81no—
1285C2×C11—81no—
1286C2×C11—81no—
1287C2×C11#344911yescharacteristic
1288C2×C11#348411yescharacteristic
1289C2×C11#348811yescharacteristic
1290C2×C11#353311yescharacteristic
1291C2×C11#353411yescharacteristic
1292C2×C11#353911yescharacteristic
1293C2×C11#354211yescharacteristic
1294D11—42no—
1295D11—81no—
1296C24—22no—
1297C24—22no—
1298C24—22no—
1299C24—41no—
1300C24—41no—
1301C24—41no—
1302C24—41no—
1303C24—111no—
1304C24—111no—
1305C24C23×D1111yescharacteristic
1306C24C23×D1111yescharacteristic
1307C24C23×D1111yescharacteristic
1308C24C23×D1111yescharacteristic
1309C24C23×D1111yescharacteristic
1310C24C23×D1111yescharacteristic
1311#41—4416no—
1312C2×Q8—222no—
1313C2×Q8—222no—
1314C2×Q8—441no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
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—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—114no—
1352C2×D4—222no—
1353C2×D4—222no—
1354C2×D4—222no—
1355C2×D4—222no—
1356C2×D4—222no—
1357C2×D4—222no—
1358C2×D4—222no—
1359C2×D4—222no—
1360C2×D4—222no—
1361C2×D4—222no—
1362C2×D4—222no—
1363C2×D4—222no—
1364C2×D4—222no—
1365C2×D4—222no—
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—
1383C2×D4—441no—
1384C2×D4—441no—
1385C2×D4—441no—
1386C2×D4—441no—
1387C2×D4—441no—
1388C2×D4—441no—
1389C2×D4—441no—
1390C22×C4—22no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—111no—
1394C22×C4—111no—
1395C22×C4—111no—
1396C22×C4—111no—
1397C22×C4—114no—
1398C22×C4—114no—
1399C22×C4—111no—
1400C22×C4—111no—
1401C22×C4—111no—
1402C22×C4—111no—
1403C22×C4—111no—
1404C22×C4—111no—
1405C22×C4—111no—
1406C22×C4—111no—
1407C22×C4—111no—
1408C22×C4—111no—
1409C22×C4—222no—
1410C22×C4—222no—
1411C22×C4—222no—
1412C22×C4—222no—
1413C22×C4—222no—
1414C22×C4—222no—
1415C22×C4—222no—
1416C22×C4—222no—
1417C22×C4—222no—
1418C22×C4—222no—
1419C22×C4—222no—
1420C22×C4—222no—
1421C22×C4—222no—
1422C22×C4—441no—
1423C22×C4—441no—
1424C22×C4—441no—
1425C22×C4—441no—
1426C22×C4—441no—
1427C22×C4—441no—
1428C22×C4—441no—
1429C22×C4—441no—
1430C22×C4—441no—
1431C22×C4—441no—
1432C22×C4—441no—
1433C22×C4—441no—
1434C22×C4—441no—
1435C22×C4—441no—
1436C22×C4—441no—
1437C22×C4—441no—
1438C22×C4—441no—
1439C22×C4—441no—
1440C22×C4—441no—
1441C22×C4—441no—
1442C22×C4—441no—
1443C22×C4—4416no—
1444C22×C4C23×D1111yescharacteristic
1445C22×C4C23×D1111yescharacteristic
1446C22×C4C23×D1111yescharacteristic
1447C22×C4C23×D1111yescharacteristic
1448C22×C4C23×D1111yescharacteristic
1449C22×C4C23×D1111yescharacteristic
1450C22×C4C23×D1111yescharacteristic
1451C22×C4C23×D1111yescharacteristic
1452C22×C4C23×D1111yescharacteristic
1453C4⋊C4—22no—
1454C4⋊C4—41no—
1455C4⋊C4—114no—
1456C4⋊C4—222no—
1457C4⋊C4—222no—
1458C4⋊C4—222no—
1459C4⋊C4—222no—
1460C4⋊C4—222no—
1461C4⋊C4—222no—
1462C4⋊C4—222no—
1463C4⋊C4—222no—
1464C4⋊C4—222no—
1465C4⋊C4—222no—
1466C4⋊C4—222no—
1467C4⋊C4—222no—
1468C4⋊C4—441no—
1469C4⋊C4—441no—
1470C4⋊C4—441no—
1471C4⋊C4—441no—
1472C4⋊C4—441no—
1473C4⋊C4—441no—
1474C4⋊C4—441no—
1475C4⋊C4—441no—
1476C4⋊C4—441no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—114no—
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—222no—
1504C22⋊C4—222no—
1505C22⋊C4—222no—
1506C22⋊C4—222no—
1507C22⋊C4—222no—
1508C22⋊C4—222no—
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—
1519C22⋊C4—441no—
1520C22⋊C4—441no—
1521C22⋊C4—441no—
1522C22⋊C4—441no—
1523C22⋊C4—441no—
1524C22⋊C4—441no—
1525C22⋊C4—441no—
1526C22⋊C4—441no—
1527C22⋊C4—441no—
1528C22⋊C4—441no—
1529C22⋊C4—441no—
1530C22⋊C4D4×D1114yes—
1531C42—41no—
1532C42—114no—
1533C42—222no—
1534C42—222no—
1535C42—441no—
1536C11#3671311yescharacteristic, complemented, Sylow
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—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—44no—
1577C23—44no—
1578C23—44no—
1579C23—44no—
1580C23—44no—
1581C23—44no—
1582C23—44no—
1583C23—112no—
1584C23—221no—
1585C23—221no—
1586C23—221no—
1587C23—221no—
1588C23—221no—
1589C23—221no—
1590C23—221no—
1591C23—221no—
1592C23—221no—
1593C23—221no—
1594C23—221no—
1595C23—221no—
1596C23—221no—
1597C23C2×D4×D1112yes—
1598C23#6703712yes—
1599C23#6703712yes—
1600C23C24×D1111yescharacteristic
1601Q8—444no—
1602D4—44no—
1603D4—44no—
1604D4—44no—
1605D4—82no—
1606D4—82no—
1607D4—82no—
1608D4—82no—
1609D4—82no—
1610D4—82no—
1611D4—82no—
1612D4—82no—
1613D4—82no—
1614D4—444no—
1615D4—444no—
1616D4—444no—
1617D4—444no—
1618D4—444no—
1619D4—882no—
1620D4—882no—
1621D4—882no—
1622D4—882no—
1623D4—882no—
1624D4—882no—
1625D4—882no—
1626D4—882no—
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—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—82no—
1653C2×C4—112no—
1654C2×C4—112no—
1655C2×C4—112no—
1656C2×C4—112no—
1657C2×C4—228no—
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—221no—
1689C2×C4—221no—
1690C2×C4—221no—
1691C2×C4—221no—
1692C2×C4—221no—
1693C2×C4—221no—
1694C2×C4—221no—
1695C2×C4—221no—
1696C2×C4—444no—
1697C2×C4—444no—
1698C2×C4—444no—
1699C2×C4—444no—
1700C2×C4—444no—
1701C2×C4—444no—
1702C2×C4—444no—
1703C2×C4—444no—
1704C2×C4—882no—
1705C2×C4—882no—
1706C2×C4—882no—
1707C2×C4C2×D4×D1112yes—
1708C2×C4C2×D4×D1112yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—416no—
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—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—222no—
1753C22—222no—
1754C22—222no—
1755C22—441no—
1756C22—441no—
1757C22—441no—
1758C22—441no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—441no—
1766C22C22×D4×D1111yescharacteristic
1767C22C2×#6703711yescharacteristic
1768C22C2×#6703711yescharacteristic
1769C22D11×H(5,𝔽2)11yescharacteristic
1770C22#1062345511yescharacteristic
1771C22#1062345511yescharacteristic
1772C22#1062345511yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—222no—
1783C4—222no—
1784C4—222no—
1785C4—222no—
1786C4—441no—
1787C4—441no—
1788C4—441no—
1789C4—441no—
1790C4—441no—
1791C4—441no—
1792C4—441no—
1793C4—441no—
1794C4—441no—
1795C4—441no—
1796C2—42no—
1797C2—42no—
1798C2—42no—
1799C2—81no—
1800C2—81no—
1801C2—81no—
1802C2—442no—
1803C2—881no—
1804C2#1308194711yescharacteristic
1805C2#1308224411yescharacteristic
1806C2#1308227611yescharacteristic
1807C2#1308277711yescharacteristic
1808C2#1308279411yescharacteristic
1809C2#1308287011yescharacteristic
1810C2#1308291911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2669C2
hypercenter#2669D11
hypocenterC11#36713
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×#10623117C2semidirect
3. #13076906C2semidirect
4. #13076896C2semidirect
5. #13075135C2semidirect
6. #13075127C2semidirect
7. #13075079C2semidirect
8. #13075058C2semidirect
9. #13075035C2semidirect
10. #13074937C2semidirect
11. #13074910C2semidirect
12. #13074908C2semidirect
13. #13074884C2semidirect
14. #13074876C2semidirect
15. #13074861C2semidirect
16. #13074858C2semidirect
17. #13074848C2semidirect
18. #13074830C2semidirect
19. #13074820C2semidirect
20. #13074499C2semidirect
21. #13074452C2semidirect
22. #13074287C2semidirect
23. #13074233C2semidirect
24. #13074179C2semidirect
25. #13074175C2semidirect
26. #13073571C2semidirect
27. #13073515C2semidirect
28. #13072232C2semidirect
29. #13072221C2semidirect
30. #13071246C2semidirect
31. C11×#2669C2semidirect
49. C2×#66992C22semidirect
53. C2×#66991C22semidirect
54. C2×#66989C22semidirect
60. C2×#66982C22semidirect
61. C2×C4×C22⋊D11C22semidirect
64. C2×#66947C22semidirect
65. C2×#66942C22semidirect
68. C2×#66937C22semidirect
69. C2×#66937C22semidirect
76. C2×#66930C22semidirect
93. #10622836C22semidirect
94. #10622836C22semidirect
95. #10622836C22semidirect
96. #10622836C22semidirect
101. #10622835C22semidirect
102. #10622835C22semidirect
113. #10622833C22semidirect
114. #10622833C22semidirect
115. #10622833C22semidirect
116. #10622825C22semidirect
117. #10622823C22semidirect
118. #10622602C22semidirect
119. #10622600C22semidirect
120. #10622596C22semidirect
121. #10622592C22semidirect
122. #10622590C22semidirect
123. #10622585C22semidirect
125. #10622574C22semidirect
128. #10622572C22semidirect
132. #10622571C22semidirect
138. #10622569C22semidirect
139. #10622569C22semidirect
140. #10622569C22semidirect
144. #10622565C22semidirect
147. #10622564C22semidirect
148. #10622564C22semidirect
150. #10622562C22semidirect
151. #10622562C22semidirect
153. #10622561C22semidirect
154. #10622561C22semidirect
155. #10622561C22semidirect
160. #10622559C22semidirect
161. #10622559C22semidirect
163. #10622558C22semidirect
169. #10622553C22semidirect
170. C4×(C2×D11)⋊C4C22semidirect
171. #10622546C22semidirect
172. #10622542C22semidirect
173. #10622288C22semidirect
174. #10622286C22semidirect
175. #10622285C22semidirect
176. #10622282C22semidirect
177. #10622281C22semidirect
178. #10622281C22semidirect
179. D11×#95C22semidirect
180. #10622274C22semidirect
181. #10622273C22semidirect
182. #10622272C22semidirect
183. #10622271C22semidirect
184. #10622270C22semidirect
185. #10622265C22semidirect
186. #10622265C22semidirect
187. #10622265C22semidirect
188. #10622264C22semidirect
354. (C22⋊D11)⋊C4D4semidirect
650. #2669D11semidirect
1536. C11#36713semidirect

Maximal subgroups

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

subgroupindex
C2×#106231462
C2×#106231172
#130769062
#130768962
#130751352
#130751272
#130750792
#130750582
#130750352
#130749372
#130749102
#130749082
#130748842
#130748762
#130748612
#130748582
#130748482
#130748302
#130748202
#130744992
#130744522
#130742872
#130742332
#130741792
#130741752
#130735712
#130735152
#130722322
#130722212
#130712462
C11×#26692
#3671311