Finite Group Databasebeta

← #14960832

Subgroups — #14960832

Order 2816.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623223C211yesmaximal, characteristic, complemented
2C2×#10623158C211yesmaximal, characteristic, complemented
3#13076911C211yesmaximal, characteristic, complemented
4#13076904C211yesmaximal, characteristic, complemented
5#13075313C211yesmaximal, characteristic, complemented
6#13075306C211yesmaximal, characteristic, complemented
7#13075259C211yesmaximal, characteristic, complemented
8#13075228C211yesmaximal, characteristic, complemented
9#13075193C211yesmaximal, characteristic, complemented
10#13075176C211yesmaximal, characteristic, complemented
11#13075010C211yesmaximal, characteristic, complemented
12#13074986C211yesmaximal, characteristic, complemented
13#13074978C211yesmaximal, characteristic, complemented
14#13074969C211yesmaximal, characteristic, complemented
15#13074963C211yesmaximal, characteristic, complemented
16#13074960C211yesmaximal, characteristic, complemented
17#13074957C211yesmaximal, characteristic, complemented
18#13074946C211yesmaximal, characteristic, complemented
19#13074946C211yesmaximal, characteristic, complemented
20#13074541C211yesmaximal, characteristic, complemented
21#13074466C211yesmaximal, characteristic, complemented
22#13074313C211yesmaximal, characteristic, complemented
23#13074241C211yesmaximal, characteristic, complemented
24#13074208C211yesmaximal, characteristic, complemented
25#13074201C211yesmaximal, characteristic, complemented
26#13073958C211yesmaximal, characteristic, complemented
27#13073811C211yesmaximal, characteristic, complemented
28#13071964C211yesmaximal, characteristic, complemented
29#13071952C211yesmaximal, characteristic, complemented
30#13071255C211yesmaximal, characteristic, complemented
31C11×#2704C211yesmaximal, characteristic, complemented
32C22×#4343C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#125C2211yescharacteristic, complemented
35C2×C11×C22⋊Q8C2211yescharacteristic
36C2×#66999C2211yescharacteristic
37C2×#66999C2211yescharacteristic, complemented
38C2×#66983C2211yescharacteristic
39C2×#66977C2211yescharacteristic
40#10623223—28no—
41#10623158—28no—
42C2×#66951C2211yescharacteristic, complemented
43C2×#66950C2211yescharacteristic
44C2×#66950C2211yescharacteristic
45C2×#66949C2211yescharacteristic, complemented
46C2×#66949C2211yescharacteristic, complemented
47C2×#66948C2211yescharacteristic
48C2×#66948C2211yescharacteristic
49C2×#66948C2211yescharacteristic
50C2×#66947C2211yescharacteristic
51C2×#66947C2211yescharacteristic
52C2×#66947C2211yescharacteristic
53C2×#66947C2211yescharacteristic
54C2×#66947C2211yescharacteristic
55C2×#66947C2211yescharacteristic
56C2×#66947C2211yescharacteristic
57C2×#66947C2211yescharacteristic, complemented
58C2×#66947C2211yescharacteristic, complemented
59C2×#66946C2211yescharacteristic
60C2×#66946C2211yescharacteristic
61C2×#66945C2211yescharacteristic
62C2×C4⋊C4×D11C2211yescharacteristic, complemented
63C2×#66942C2211yescharacteristic, complemented
64C2×#66935C2211yescharacteristic
65C2×#66935C2211yescharacteristic
66C2×#66935C2211yescharacteristic
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×(C22⋊D11)⋊C4C2211yescharacteristic
69C2×#66929C2211yescharacteristic
70C2×C4×D44C2211yescharacteristic, complemented
71C11×#398C2211yescharacteristic, complemented
72C11×#398C2211yescharacteristic, complemented
73C11×#398C2211yescharacteristic, complemented
74C11×#396C2211yescharacteristic
75C11×#396C2211yescharacteristic
76C11×#395C2211yescharacteristic, complemented
77C11×#391C2211yescharacteristic, complemented
78C11×#389C2211yescharacteristic, complemented
79C11×#389C2211yescharacteristic, complemented
80C11×#388C2211yescharacteristic
81C11×#388C2211yescharacteristic
82C11×#385C2211yescharacteristic
83C11×#380C2211yescharacteristic
84#10622842C2211yescharacteristic, complemented
85#10622826C2211yescharacteristic
86#10622607C2211yescharacteristic
87#10622607C2211yescharacteristic, complemented
88#10622607C2211yescharacteristic, complemented
89#10622607C2211yescharacteristic, complemented
90#10622607C2211yescharacteristic, complemented
91#10622607C2211yescharacteristic, complemented
92#10622606C2211yescharacteristic, complemented
93#10622605C2211yescharacteristic
94#10622604C2211yescharacteristic
95#10622604C2211yescharacteristic
96#10622604C2211yescharacteristic
97#10622604C2211yescharacteristic
98#10622604C2211yescharacteristic
99#10622604C2211yescharacteristic, complemented
100#10622604C2211yescharacteristic, complemented
101#10622603C2211yescharacteristic
102#10622603C2211yescharacteristic
103#10622603C2211yescharacteristic, complemented
104#10622603C2211yescharacteristic, complemented
105#10622602C2211yescharacteristic
106#10622602C2211yescharacteristic
107#10622602C2211yescharacteristic, complemented
108#10622602C2211yescharacteristic, complemented
109#10622601C2211yescharacteristic
110#10622601C2211yescharacteristic
111#10622600C2211yescharacteristic
112#10622600C2211yescharacteristic
113#10622600C2211yescharacteristic, complemented
114#10622598C2211yescharacteristic, complemented
115#10622597C2211yescharacteristic, complemented
116#10622597C2211yescharacteristic, complemented
117#10622596C2211yescharacteristic, complemented
118#10622594C2211yescharacteristic, complemented
119#10622594C2211yescharacteristic, complemented
120#10622592C2211yescharacteristic, complemented
121#10622589C2211yescharacteristic, complemented
122C4⋊C4×Dic11C2211yescharacteristic, complemented
123#10622585C2211yescharacteristic, complemented
124#10622573C2211yescharacteristic
125#10622573C2211yescharacteristic
126#10622572C2211yescharacteristic
127#10622572C2211yescharacteristic
128#10622571C2211yescharacteristic
129#10622570C2211yescharacteristic
130#10622570C2211yescharacteristic
131#10622570C2211yescharacteristic
132#10622569C2211yescharacteristic
133#10622569C2211yescharacteristic
134#10622569C2211yescharacteristic
135#10622568C2211yescharacteristic
136#10622568C2211yescharacteristic
137#10622568C2211yescharacteristic
138#10622563C2211yescharacteristic
139#10622563C2211yescharacteristic
140#10622561C2211yescharacteristic
141#10622561C2211yescharacteristic
142#10622559C2211yescharacteristic
143#10622553C2211yescharacteristic
144#10622552C2211yescharacteristic
145#10622552C2211yescharacteristic
146#10622552C2211yescharacteristic, complemented
147#10622546C2211yescharacteristic, complemented
148#10622545C2211yescharacteristic, complemented
149#10622288C2211yescharacteristic
150#10622288C2211yescharacteristic
151#10622288C2211yescharacteristic
152#10622288C2211yescharacteristic
153#10622288C2211yescharacteristic, complemented
154#10622287C2211yescharacteristic, complemented
155#10622286C2211yescharacteristic, complemented
156#10622285C2211yescharacteristic
157#10622285C2211yescharacteristic
158#10622285C2211yescharacteristic
159#10622285C2211yescharacteristic, complemented
160#10622284C2211yescharacteristic
161#10622284C2211yescharacteristic
162#10622284C2211yescharacteristic, complemented
163#10622283C2211yescharacteristic
164#10622283C2211yescharacteristic, complemented
165#10622283C2211yescharacteristic, complemented
166#10622282C2211yescharacteristic
167#10622282C2211yescharacteristic, complemented
168#10622281C2211yescharacteristic
169#10622281C2211yescharacteristic
170#10622281C2211yescharacteristic
171#10622281C2211yescharacteristic
172#10622281C2211yescharacteristic, complemented
173#10622281C2211yescharacteristic, complemented
174#10622281C2211yescharacteristic, complemented
175#10622281C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic
179#10622278C2211yescharacteristic, complemented
180#10622278C2211yescharacteristic, complemented
181#10622277C2211yescharacteristic
182#10622277C2211yescharacteristic
183#10622277C2211yescharacteristic, complemented
184#10622273C2211yescharacteristic, complemented
185#10622270C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, complemented
187#10622263C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C2×#4343—24no—
197C2×#4343—42no—
198C2×#4343—42no—
199C22×D44C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×D44C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×C4×D11—24no—
209C22×C4×D11—42no—
210C22×C4×D11—42no—
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×Dic22C2311yescharacteristic
221C11×#125—24no—
222C11×C22⋊Q8—24no—
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊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×C42×C11C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249#66999—24no—
250#66999—42no—
251#66983—24no—
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303#66977—42no—
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324#66951—24no—
325#66950—24no—
326#66950—42no—
327#66949—24no—
328#66949—24no—
329#66948—24no—
330#66948—24no—
331#66948—42no—
332#66947—24no—
333#66947—24no—
334#66947—24no—
335#66947—24no—
336#66947—24no—
337#66947—24no—
338#66947—42no—
339#66947—42no—
340#66947—42no—
341#66946—24no—
342#66946D418yescomplemented
343#66945—24no—
344C4⋊C4×D11—24no—
345#66942—24no—
346#66935—24no—
347#66935—24no—
348#66935—42no—
349(C22⋊D11)⋊C4—24no—
350(C22⋊D11)⋊C4—24no—
351#66929—24no—
352C4×D44—24no—
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#36723—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C23×D11—22no—
388C23×D11—22no—
389C23×D11—22no—
390C23×D11—41no—
391C23×D11—41no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11C2411yescharacteristic
395C23×D11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C23×D11C2411yescharacteristic
399C2×Q8×C11—22no—
400C2×Q8×C11—22no—
401C2×Q8×C11—41no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—41no—
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C22×Dic11—22no—
429C22×Dic11—41no—
430C22×Dic11—41no—
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442#4343—416no—
443C2×D44—22no—
444C2×D44—22no—
445C2×D44—22no—
446C2×D44—22no—
447C2×D44—22no—
448C2×D44—22no—
449C2×D44—22no—
450C2×D44—22no—
451C2×D44—22no—
452C2×D44—22no—
453C2×D44—41no—
454C2×D44—41no—
455C2×D44—41no—
456C2×D44—41no—
457C2×D44—41no—
458C2×D44—41no—
459C2×D44—41no—
460C2×D44—41no—
461C2×D44—41no—
462C2×D44—41no—
463C2×D44—41no—
464C2×D44—41no—
465C2×D44—41no—
466C2×D44—41no—
467C2×D44—41no—
468C2×D44—41no—
469C2×D44C2×D414yes—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—22no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—22no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—41no—
487C2×C4×D11—41no—
488C2×C4×D11—41no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—41no—
495C2×C4×D11—416no—
496C2×C4×D11C2×D414yes—
497C2×C4×D11C2×D414yes—
498C2×Dic22—22no—
499C2×Dic22—41no—
500C2×Dic22—41no—
501C11×C4⋊C4—22no—
502C11×C4⋊C4—22no—
503C11×C4⋊C4—22no—
504C11×C4⋊C4—22no—
505C11×C4⋊C4—22no—
506C11×C4⋊C4—22no—
507C11×C4⋊C4—22no—
508C11×C4⋊C4—22no—
509C11×C4⋊C4—41no—
510C11×C4⋊C4—41no—
511C11×C4⋊C4—41no—
512C11×C4⋊C4—41no—
513C11×C4⋊C4—41no—
514C11×C4⋊C4—41no—
515C11×C4⋊C4C2×D414yes—
516C11×C22⋊C4—22no—
517C11×C22⋊C4—22no—
518C11×C22⋊C4—22no—
519C11×C22⋊C4—41no—
520C11×C22⋊C4—41no—
521C11×C22⋊C4—41no—
522C42×C11—22no—
523C42×C11—41no—
524C22⋊Dic11—41no—
525C22⋊Dic11—41no—
526C22⋊Dic11—41no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—22no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560(C2×D11)⋊C4—41no—
561(C2×D11)⋊C4—41no—
562(C2×D11)⋊C4—41no—
563(C2×D11)⋊C4—41no—
564(C2×D11)⋊C4—41no—
565(C2×D11)⋊C4—41no—
566(C2×D11)⋊C4—41no—
567(C2×D11)⋊C4—41no—
568(C2×D11)⋊C4C2×D414yes—
569(C2×D11)⋊C4C2×D414yes—
570C4⋊Dic11—22no—
571C4⋊Dic11—22no—
572C4⋊Dic11—22no—
573C4⋊Dic11—41no—
574C4⋊Dic11—41no—
575C4⋊Dic11—41no—
576C4⋊Dic11—41no—
577C4⋊Dic11—41no—
578Dic11⋊C4—22no—
579Dic11⋊C4—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—22no—
582Dic11⋊C4—22no—
583Dic11⋊C4—22no—
584Dic11⋊C4—22no—
585Dic11⋊C4—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—22no—
588Dic11⋊C4—41no—
589Dic11⋊C4—41no—
590Dic11⋊C4—41no—
591Dic11⋊C4—41no—
592Dic11⋊C4—41no—
593C4×Dic11—22no—
594C4×Dic11—41no—
595C4×Dic11—41no—
596C4×Dic11—41no—
597C4×Dic11C2×D414yes—
598C2×#539—111no—
599C2×#525—111no—
600#2849—111no—
601#2848—111no—
602#2707—111no—
603#2706—111no—
604#2704D1111yescharacteristic, complemented
605#2703—111no—
606#2701—111no—
607#2698—111no—
608#2697—111no—
609#2685—111no—
610#2683—111no—
611#2682—111no—
612#2681—111no—
613#2681—111no—
614#2680—111no—
615#2680—111no—
616#2678—111no—
617#2678—111no—
618#2638—111no—
619#2630—111no—
620#2611—111no—
621#2603—111no—
622#2601—111no—
623#2600—111no—
624#2579—111no—
625#2566—111no—
626#2407—111no—
627#2406—111no—
628#2319—111no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C112−1+412yes—
636C23×C11C2511yescharacteristic
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—44no—
670C22×D11—44no—
671C22×D11—44no—
672C22×D11—44no—
673C22×D11—44no—
674C22×D11—44no—
675C22×D11—44no—
676C22×D11C22×D412yes—
677C22×D11C22×D412yes—
678C22×D11H(5,𝔽2)12yes—
679Q8×C11—44no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—44no—
719C2×C4×C11C22×D412yes—
720C2×C4×C11C22×D412yes—
721C2×C4×C11C22×D412yes—
722C2×C4×C11H(5,𝔽2)12yes—
723C22⋊D11—44no—
724C22⋊D11—44no—
725C22⋊D11—82no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—44no—
758C2×Dic11C22×D412yes—
759C2×Dic11C22×D412yes—
760D44—44no—
761D44—44no—
762D44—44no—
763D44—44no—
764D44—44no—
765D44—44no—
766D44—82no—
767D44—82no—
768D44—82no—
769C4×D11—28no—
770C4×D11—44no—
771C4×D11—44no—
772C4×D11—44no—
773C4×D11—44no—
774C4×D11—44no—
775C4×D11—44no—
776C4×D11—82no—
777C4×D11—82no—
778Dic22—82no—
779C22×#41—111no—
780C24×C4—111no—
781#539—228no—
782C2×#126—111no—
783C2×#126—111no—
784C2×#125—111no—
785C2×#125C2×D1111yescharacteristic, complemented
786#525—228no—
787C2×#123—111no—
788C2×#123—111no—
789C2×#123—111no—
790C2×#123—111no—
791C2×#123—111no—
792C2×#123—111no—
793C2×#123—111no—
794C2×#123—111no—
795C2×#123—111no—
796C2×C22⋊Q8—111no—
797C2×C22⋊Q8—111no—
798C2×C22⋊Q8—111no—
799C2×C22⋊Q8—111no—
800C2×C22⋊Q8—111no—
801C2×C22⋊Q8—111no—
802C2×C22⋊Q8—111no—
803C2×C22⋊Q8C2×D1111yescharacteristic
804C2×#121—111no—
805C2×#121—111no—
806C2×#121—111no—
807C2×#121—111no—
808C2×#120—111no—
809C2×#120—111no—
810C2×#120—111no—
811C2×C4×D4—111no—
812C2×C4×D4—111no—
813C2×C4×D4—111no—
814C2×C4×D4—111no—
815C2×C4×D4—111no—
816C2×#117—111no—
817C22×C4⋊C4—111no—
818#400—111no—
819#399—111no—
820#398—111no—
821#398—111no—
822#398—111no—
823#398—111no—
824#398C2×D1111yescharacteristic, complemented
825#398C2×D1111yescharacteristic, complemented
826#398C2×D1111yescharacteristic, complemented
827#397—111no—
828#397—111no—
829#397—111no—
830#397—111no—
831#397—111no—
832#397—111no—
833#397—111no—
834#396—111no—
835#396—111no—
836#396—111no—
837#396—111no—
838#396—111no—
839#396—111no—
840#396—111no—
841#396—111no—
842#396C2×D1111yescharacteristic
843#396C2×D1111yescharacteristic
844#395—111no—
845#395—111no—
846#395C2×D1111yescharacteristic, complemented
847#394—111no—
848#394—111no—
849#394—111no—
850#394—111no—
851#394—111no—
852#394—111no—
853#394—111no—
854#394—111no—
855#394—111no—
856#394—111no—
857#394—111no—
858#394—111no—
859#394—111no—
860#393—111no—
861#392—111no—
862#392—111no—
863#392—111no—
864#392—111no—
865#392—111no—
866#391C2×D1111yescharacteristic, complemented
867#390—111no—
868#390—111no—
869#390—111no—
870#390—111no—
871#390—111no—
872#390—111no—
873#390—111no—
874#390—111no—
875#389—111no—
876#389—111no—
877#389—111no—
878#389C2×D1111yescharacteristic, complemented
879#389C2×D1111yescharacteristic, complemented
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388C2×D1111yescharacteristic
891#388C2×D1111yescharacteristic
892#387—111no—
893#387—111no—
894#387—111no—
895#387—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#385—111no—
907#385—111no—
908#385—111no—
909#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#385—111no—
915#385—111no—
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#385—111no—
921#385C2×D1111yescharacteristic
922#384—111no—
923#382—111no—
924#381—111no—
925#381—111no—
926#381—111no—
927#380—111no—
928#380—111no—
929#380—111no—
930#380C2×D1111yescharacteristic
931#379—111no—
932#379—111no—
933#379—111no—
934C4×C4⋊C4—111no—
935#376—111no—
936C22×C11—22no—
937C22×C11—22no—
938C22×C11—22no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11C23×D411yescharacteristic
944C22×C11C2×H(5,𝔽2)11yescharacteristic
945C22×C11C2×H(5,𝔽2)11yescharacteristic
946C22×C11C2×2−1+411yescharacteristic
947C22×C11#58511yescharacteristic
948C22×C11#58511yescharacteristic
949C22×C11#58511yescharacteristic
950C2×D11—22no—
951C2×D11—22no—
952C2×D11—22no—
953C2×D11—22no—
954C2×D11—22no—
955C2×D11—22no—
956C2×D11—22no—
957C2×D11—22no—
958C2×D11—22no—
959C2×D11—416no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—41no—
967C2×D11—41no—
968C2×D11—41no—
969C2×D11—41no—
970C2×D11—41no—
971C2×D11—41no—
972C2×D11—41no—
973C2×D11—41no—
974C2×D11—41no—
975C2×D11—41no—
976C2×D11—41no—
977C2×D11—41no—
978C2×D11—41no—
979C2×D11—41no—
980C2×D11—41no—
981C2×D11—41no—
982C2×D11—41no—
983C2×D11—41no—
984C2×D11—41no—
985C2×D11—41no—
986C4×C11—22no—
987C4×C11—22no—
988C4×C11—22no—
989C4×C11—22no—
990C4×C11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996C4×C11—41no—
997C4×C11—41no—
998C4×C11—41no—
999C4×C11—41no—
1000Dic11—22no—
1001Dic11—22no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009Dic11—41no—
1010Dic11—41no—
1011C25—111no—
1012C2×#41—224no—
1013C2×#41—442no—
1014C2×#41—442no—
1015C22×Q8—111no—
1016C22×Q8C22×D1111yescharacteristic
1017C22×D4—111no—
1018C22×D4—111no—
1019C22×D4—111no—
1020C22×D4—111no—
1021C22×D4—111no—
1022C22×D4—111no—
1023C22×D4—111no—
1024C22×D4—111no—
1025C22×D4—111no—
1026C22×D4—111no—
1027C22×D4—111no—
1028C22×D4—111no—
1029C23×C4—111no—
1030C23×C4—111no—
1031C23×C4—111no—
1032C23×C4—111no—
1033C23×C4—111no—
1034C23×C4—111no—
1035C23×C4—111no—
1036C23×C4—111no—
1037C23×C4—111no—
1038C23×C4—111no—
1039C23×C4—224no—
1040C23×C4—442no—
1041C23×C4—442no—
1042C23×C4C22×D1111yescharacteristic
1043#126—224no—
1044#126—224no—
1045#125—24no—
1046#125—224no—
1047#123—224no—
1048#123—224no—
1049#123—224no—
1050#123—224no—
1051#123—224no—
1052#123—224no—
1053#123—442no—
1054#123—442no—
1055#123—442no—
1056C22⋊Q8—24no—
1057C22⋊Q8—224no—
1058C22⋊Q8—224no—
1059C22⋊Q8—224no—
1060C22⋊Q8—224no—
1061C22⋊Q8—442no—
1062C22⋊Q8—442no—
1063C22⋊Q8—442no—
1064#121—224no—
1065#121—224no—
1066#121—224no—
1067#121—442no—
1068#120—224no—
1069#120—224no—
1070#120—442no—
1071C4×D4—118no—
1072C4×D4—224no—
1073C4×D4—224no—
1074C4×D4—224no—
1075C4×D4—224no—
1076#117—224no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—111no—
1088C2×C4⋊C4—111no—
1089C2×C4⋊C4—111no—
1090C2×C4⋊C4—111no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—111no—
1096C2×C4⋊C4—111no—
1097C2×C4⋊C4—111no—
1098C2×C4⋊C4—111no—
1099C2×C4⋊C4—111no—
1100C2×C4⋊C4—224no—
1101C2×C4⋊C4C22×D1111yescharacteristic
1102C2×C4⋊C4C22×D1111yescharacteristic
1103C2×C4⋊C4C22×D1111yescharacteristic
1104C2×C4⋊C4C22×D1111yescharacteristic
1105C2×C4⋊C4C22×D1111yescharacteristic
1106C2×C4⋊C4C22×D1111yescharacteristic
1107C2×C4⋊C4C22×D1111yescharacteristic
1108C2×C4⋊C4C22×D1111yescharacteristic
1109C2×C4⋊C4C22×D1111yescharacteristic
1110C2×C4⋊C4C22×D1111yescharacteristic
1111C2×C4⋊C4C22×D1111yescharacteristic
1112C2×C4⋊C4C22×D1111yescharacteristic
1113C2×C4⋊C4C22×D1111yescharacteristic
1114C2×C4⋊C4C22×D1111yescharacteristic
1115C2×C4⋊C4C22×D1111yescharacteristic
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C42—111no—
1169C2×C42—111no—
1170C2×C42—111no—
1171C2×C42—111no—
1172C2×C42—111no—
1173C2×C42C22×D1111yescharacteristic
1174C2×C42C22×D1111yescharacteristic
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95C22×D1111yescharacteristic
1198#95C22×D1111yescharacteristic
1199#95C22×D1111yescharacteristic
1200#95C22×D1111yescharacteristic
1201#95C22×D1111yescharacteristic
1202#95C22×D1111yescharacteristic
1203#95C22×D1111yescharacteristic
1204#95C22×D1111yescharacteristic
1205#95C22×D1111yescharacteristic
1206#95C22×D1111yescharacteristic
1207C2×C11—42no—
1208C2×C11#344911yescharacteristic
1209C2×C11#348411yescharacteristic
1210C2×C11#348911yescharacteristic
1211C2×C11#353311yescharacteristic
1212C2×C11#353511yescharacteristic
1213C2×C11#353911yescharacteristic
1214C2×C11#354111yescharacteristic
1215D11—42no—
1216D11—42no—
1217D11—42no—
1218D11—81no—
1219D11—81no—
1220C24—111no—
1221C24—111no—
1222C24—111no—
1223C24—111no—
1224C24—111no—
1225C24—222no—
1226C24—222no—
1227C24—222no—
1228C24—441no—
1229C24—441no—
1230C24—441no—
1231C24—441no—
1232C24C23×D1111yescharacteristic
1233#41—4416no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—41no—
1237C2×Q8—222no—
1238C2×Q8—441no—
1239C2×Q8—441no—
1240C2×D4—114no—
1241C2×D4—222no—
1242C2×D4—222no—
1243C2×D4—222no—
1244C2×D4—222no—
1245C2×D4—222no—
1246C2×D4—222no—
1247C2×D4—222no—
1248C2×D4—222no—
1249C2×D4—222no—
1250C2×D4—222no—
1251C2×D4—222no—
1252C2×D4—222no—
1253C2×D4—222no—
1254C2×D4—222no—
1255C2×D4—222no—
1256C2×D4—441no—
1257C2×D4—441no—
1258C2×D4—441no—
1259C2×D4—441no—
1260C2×D4—441no—
1261C2×D4—441no—
1262C2×D4—441no—
1263C2×D4—441no—
1264C2×D4—441no—
1265C2×D4—441no—
1266C2×D4—441no—
1267C2×D4—441no—
1268C2×D4—441no—
1269C2×D4—441no—
1270C2×D4—441no—
1271C2×D4—441no—
1272C2×D4—441no—
1273C2×D4—441no—
1274C2×D4—441no—
1275C2×D4—441no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—41no—
1279C22×C4—111no—
1280C22×C4—111no—
1281C22×C4—114no—
1282C22×C4—114no—
1283C22×C4—111no—
1284C22×C4—111no—
1285C22×C4—111no—
1286C22×C4—111no—
1287C22×C4—111no—
1288C22×C4—111no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—222no—
1293C22×C4—222no—
1294C22×C4—222no—
1295C22×C4—222no—
1296C22×C4—222no—
1297C22×C4—222no—
1298C22×C4—222no—
1299C22×C4—222no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—441no—
1305C22×C4—441no—
1306C22×C4—441no—
1307C22×C4—441no—
1308C22×C4—441no—
1309C22×C4—441no—
1310C22×C4—441no—
1311C22×C4—441no—
1312C22×C4—441no—
1313C22×C4—441no—
1314C22×C4—441no—
1315C22×C4—441no—
1316C22×C4—441no—
1317C22×C4—441no—
1318C22×C4—4416no—
1319C22×C4—441no—
1320C22×C4—441no—
1321C22×C4C23×D1111yescharacteristic
1322C22×C4C23×D1111yescharacteristic
1323C22×C4C23×D1111yescharacteristic
1324C22×C4C23×D1111yescharacteristic
1325C22×C4C23×D1111yescharacteristic
1326C22×C4C23×D1111yescharacteristic
1327C22×C4C23×D1111yescharacteristic
1328C22×C4C23×D1111yescharacteristic
1329C22×C4C23×D1111yescharacteristic
1330C22×C4C23×D1111yescharacteristic
1331C22×C4C23×D1111yescharacteristic
1332C22×C4C23×D1111yescharacteristic
1333C22×C4C23×D1111yescharacteristic
1334C22×C4C23×D1111yescharacteristic
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—222no—
1350C4⋊C4—222no—
1351C4⋊C4—222no—
1352C4⋊C4—222no—
1353C4⋊C4—222no—
1354C4⋊C4—222no—
1355C4⋊C4—222no—
1356C4⋊C4—222no—
1357C4⋊C4—222no—
1358C4⋊C4—222no—
1359C4⋊C4—222no—
1360C4⋊C4—222no—
1361C4⋊C4—222no—
1362C4⋊C4—441no—
1363C4⋊C4—441no—
1364C4⋊C4—441no—
1365C4⋊C4—441no—
1366C4⋊C4—441no—
1367C4⋊C4—441no—
1368C4⋊C4—441no—
1369C4⋊C4—441no—
1370C4⋊C4—441no—
1371C4⋊C4—441no—
1372C4⋊C4D4×D1114yes—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—114no—
1380C22⋊C4—114no—
1381C22⋊C4—222no—
1382C22⋊C4—222no—
1383C22⋊C4—222no—
1384C22⋊C4—222no—
1385C22⋊C4—222no—
1386C22⋊C4—222no—
1387C22⋊C4—222no—
1388C22⋊C4—222no—
1389C22⋊C4—222no—
1390C22⋊C4—222no—
1391C22⋊C4—222no—
1392C22⋊C4—222no—
1393C22⋊C4—222no—
1394C22⋊C4—222no—
1395C22⋊C4—222no—
1396C22⋊C4—222no—
1397C22⋊C4—222no—
1398C22⋊C4—222no—
1399C22⋊C4—441no—
1400C22⋊C4—441no—
1401C22⋊C4—441no—
1402C22⋊C4—441no—
1403C22⋊C4—441no—
1404C22⋊C4—441no—
1405C22⋊C4—441no—
1406C22⋊C4—441no—
1407C22⋊C4—441no—
1408C22⋊C4—441no—
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⋊C4—441no—
1425C42—22no—
1426C42—41no—
1427C42—114no—
1428C42—222no—
1429C42—441no—
1430C42—441no—
1431C42—441no—
1432C11#3672311yescharacteristic, complemented, Sylow
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—112no—
1440C23—112no—
1441C23—112no—
1442C23—221no—
1443C23—221no—
1444C23—221no—
1445C23—221no—
1446C23—221no—
1447C23—221no—
1448C23—221no—
1449C23—221no—
1450C23—221no—
1451C23—221no—
1452C23—221no—
1453C23—221no—
1454C23—221no—
1455C23—221no—
1456C23—221no—
1457C23—221no—
1458C23—221no—
1459C23—221no—
1460C23—221no—
1461C23—221no—
1462C23—221no—
1463C23—221no—
1464C23—221no—
1465C23—221no—
1466C23—221no—
1467C23—221no—
1468C23—221no—
1469C23—221no—
1470C23—221no—
1471C23—221no—
1472C23—221no—
1473C23—221no—
1474C23—444no—
1475C23—444no—
1476C23—444no—
1477C23—444no—
1478C23—444no—
1479C23—444no—
1480C23—444no—
1481C23#6704012yes—
1482C23C24×D1111yescharacteristic
1483Q8—44no—
1484Q8—882no—
1485D4—444no—
1486D4—444no—
1487D4—444no—
1488D4—444no—
1489D4—444no—
1490D4—444no—
1491D4—444no—
1492D4—444no—
1493D4—882no—
1494D4—882no—
1495D4—882no—
1496D4—882no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—44no—
1536C2×C4—112no—
1537C2×C4—112no—
1538C2×C4—228no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—444no—
1571C2×C4—444no—
1572C2×C4—444no—
1573C2×C4—444no—
1574C2×C4—444no—
1575C2×C4—444no—
1576C2×C4—444no—
1577C2×C4—882no—
1578C2×C4—882no—
1579C2×C4C2×D4×D1112yes—
1580C2×C4C2×D4×D1112yes—
1581C2×C4C2×D4×D1112yes—
1582C2×C4#6704212yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—222no—
1591C22—222no—
1592C22—222no—
1593C22—222no—
1594C22—222no—
1595C22—222no—
1596C22—222no—
1597C22—222no—
1598C22—222no—
1599C22—4416no—
1600C22—441no—
1601C22—441no—
1602C22—441no—
1603C22—441no—
1604C22—441no—
1605C22—441no—
1606C22—441no—
1607C22—441no—
1608C22—441no—
1609C22—441no—
1610C22—441no—
1611C22—441no—
1612C22—441no—
1613C22—441no—
1614C22—441no—
1615C22—441no—
1616C22—441no—
1617C22—441no—
1618C22—441no—
1619C22—441no—
1620C22—441no—
1621C22—441no—
1622C22—441no—
1623C22—441no—
1624C22—441no—
1625C22—441no—
1626C22C22×D4×D1111yescharacteristic
1627C22C2×#6704011yescharacteristic
1628C22C2×#6704211yescharacteristic
1629C22D11×H(5,𝔽2)11yescharacteristic
1630C22#1062345511yescharacteristic
1631C22#1062345711yescharacteristic
1632C22#1062345711yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—222no—
1648C4—222no—
1649C4—441no—
1650C4—441no—
1651C4—441no—
1652C4—441no—
1653C4—441no—
1654C4—441no—
1655C4—441no—
1656C4—441no—
1657C4—441no—
1658C2—42no—
1659C2—442no—
1660C2—442no—
1661C2—442no—
1662C2—881no—
1663C2—881no—
1664C2#1308194411yescharacteristic
1665C2#1308224611yescharacteristic
1666C2#1308229311yescharacteristic
1667C2#1308277811yescharacteristic
1668C2#1308282611yescharacteristic
1669C2#1308287811yescharacteristic
1670C2#1308291011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2704C2
hypercenter#2704D11
hypocenterC11#36723
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2704

Complements

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

NH ≅ G/Ntype
1. C2×#10623223C2semidirect
2. C2×#10623158C2semidirect
3. #13076911C2semidirect
4. #13076904C2semidirect
5. #13075313C2semidirect
6. #13075306C2semidirect
7. #13075259C2semidirect
8. #13075228C2semidirect
9. #13075193C2semidirect
10. #13075176C2semidirect
11. #13075010C2semidirect
12. #13074986C2semidirect
13. #13074978C2semidirect
14. #13074969C2semidirect
15. #13074963C2semidirect
16. #13074960C2semidirect
17. #13074957C2semidirect
18. #13074946C2semidirect
19. #13074946C2semidirect
20. #13074541C2semidirect
21. #13074466C2semidirect
22. #13074313C2semidirect
23. #13074241C2semidirect
24. #13074208C2semidirect
25. #13074201C2semidirect
26. #13073958C2semidirect
27. #13073811C2semidirect
28. #13071964C2semidirect
29. #13071952C2semidirect
30. #13071255C2semidirect
31. C11×#2704C2semidirect
34. C2×C11×#125C22semidirect
37. C2×#66999C22semidirect
42. C2×#66951C22semidirect
45. C2×#66949C22semidirect
46. C2×#66949C22semidirect
57. C2×#66947C22semidirect
58. C2×#66947C22semidirect
62. C2×C4⋊C4×D11C22semidirect
63. C2×#66942C22semidirect
70. C2×C4×D44C22semidirect
71. C11×#398C22semidirect
72. C11×#398C22semidirect
73. C11×#398C22semidirect
76. C11×#395C22semidirect
77. C11×#391C22semidirect
78. C11×#389C22semidirect
79. C11×#389C22semidirect
84. #10622842C22semidirect
87. #10622607C22semidirect
88. #10622607C22semidirect
89. #10622607C22semidirect
90. #10622607C22semidirect
91. #10622607C22semidirect
92. #10622606C22semidirect
99. #10622604C22semidirect
100. #10622604C22semidirect
103. #10622603C22semidirect
104. #10622603C22semidirect
107. #10622602C22semidirect
108. #10622602C22semidirect
113. #10622600C22semidirect
114. #10622598C22semidirect
115. #10622597C22semidirect
116. #10622597C22semidirect
117. #10622596C22semidirect
118. #10622594C22semidirect
119. #10622594C22semidirect
120. #10622592C22semidirect
121. #10622589C22semidirect
122. C4⋊C4×Dic11C22semidirect
123. #10622585C22semidirect
146. #10622552C22semidirect
147. #10622546C22semidirect
148. #10622545C22semidirect
153. #10622288C22semidirect
154. #10622287C22semidirect
155. #10622286C22semidirect
159. #10622285C22semidirect
162. #10622284C22semidirect
164. #10622283C22semidirect
165. #10622283C22semidirect
167. #10622282C22semidirect
172. #10622281C22semidirect
173. #10622281C22semidirect
174. #10622281C22semidirect
175. #10622281C22semidirect
179. #10622278C22semidirect
180. #10622278C22semidirect
183. #10622277C22semidirect
184. #10622273C22semidirect
185. #10622270C22semidirect
186. #10622265C22semidirect
187. #10622263C22semidirect
188. #10622260C22semidirect
342. #66946D4semidirect
604. #2704D11semidirect
785. C2×#125C2×D11semidirect
824. #398C2×D11semidirect
825. #398C2×D11semidirect
826. #398C2×D11semidirect
846. #395C2×D11semidirect
866. #391C2×D11semidirect
878. #389C2×D11semidirect
879. #389C2×D11semidirect
1432. C11#36723semidirect

Maximal subgroups

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

subgroupindex
C2×#106232232
C2×#106231582
#130769112
#130769042
#130753132
#130753062
#130752592
#130752282
#130751932
#130751762
#130750102
#130749862
#130749782
#130749692
#130749632
#130749602
#130749572
#130749462
#130745412
#130744662
#130743132
#130742412
#130742082
#130742012
#130739582
#130738112
#130719642
#130719522
#130712552
C11×#27042
#3672311