Finite Group Databasebeta

← #14961148

Subgroups — #14961148

Order 2816.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623148C211yesmaximal, characteristic, complemented
2C2×#10623091C211yesmaximal, characteristic, complemented
3#13076897C211yesmaximal, characteristic, complemented
4#13076895C211yesmaximal, characteristic, complemented
5#13075524C211yesmaximal, characteristic, complemented
6#13075433C211yesmaximal, characteristic, complemented
7#13075428C211yesmaximal, characteristic, complemented
8#13075389C211yesmaximal, characteristic, complemented
9#13075158C211yesmaximal, characteristic, complemented
10#13075151C211yesmaximal, characteristic, complemented
11#13075128C211yesmaximal, characteristic, complemented
12#13075098C211yesmaximal, characteristic, complemented
13#13075097C211yesmaximal, characteristic, complemented
14#13074924C211yesmaximal, characteristic, complemented
15#13074914C211yesmaximal, characteristic, complemented
16#13074906C211yesmaximal, characteristic, complemented
17#13074874C211yesmaximal, characteristic, complemented
18#13074873C211yesmaximal, characteristic, complemented
19#13074858C211yesmaximal, characteristic, complemented
20#13074848C211yesmaximal, characteristic, complemented
21#13074356C211yesmaximal, characteristic, complemented
22#13074352C211yesmaximal, characteristic, complemented
23#13073800C211yesmaximal, characteristic, complemented
24#13073792C211yesmaximal, characteristic, complemented
25#13073578C211yesmaximal, characteristic, complemented
26#13073574C211yesmaximal, characteristic, complemented
27#13072064C211yesmaximal, characteristic, complemented
28#13072061C211yesmaximal, characteristic, complemented
29#13072053C211yesmaximal, characteristic, complemented
30C2×#10622602C211yesmaximal, characteristic, complemented
31C11×#2416C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#121C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic
36C2×C11×#121C2211yescharacteristic, complemented
37C2×C4×D4×C11C2211yescharacteristic
38C22×C11×C4⋊C4C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66992C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic, complemented
45C2×#66991C2211yescharacteristic
46C2×#66991C2211yescharacteristic
47C2×#66990C2211yescharacteristic
48C2×#66990C2211yescharacteristic
49C2×#66990C2211yescharacteristic
50C2×D4×Dic11C2211yescharacteristic
51C2×D4×Dic11C2211yescharacteristic
52C2×#66983C2211yescharacteristic
53C2×#66982C2211yescharacteristic
54C2×C4×C22⋊D11C2211yescharacteristic
55C22×(C2×D11)⋊C4C2211yescharacteristic
56C22×(C2×D11)⋊C4C2211yescharacteristic
57C2×#66977C2211yescharacteristic
58C22×Dic11⋊C4C2211yescharacteristic
59#10623148—28no—
60#10623091—28no—
61C2×#66951C2211yescharacteristic
62C2×#66951C2211yescharacteristic
63C2×#66951C2211yescharacteristic
64C2×#66950C2211yescharacteristic, complemented
65C2×#66947C2211yescharacteristic
66C2×#66939C2211yescharacteristic
67C2×#66939C2211yescharacteristic
68C2×#66938C2211yescharacteristic
69C2×#66938C2211yescharacteristic
70C2×#66938C2211yescharacteristic
71C2×#66937C2211yescharacteristic
72C2×#66937C2211yescharacteristic
73C2×#66937C2211yescharacteristic
74C2×#66935C2211yescharacteristic
75C2×#66931C2211yescharacteristic
76C2×#66931C2211yescharacteristic, complemented
77C2×#66929C2211yescharacteristic
78C2×#66928C2211yescharacteristic
79C11×#396C2211yescharacteristic, complemented
80C11×#396C2211yescharacteristic, complemented
81C11×#394C2211yescharacteristic, complemented
82C11×#394C2211yescharacteristic, complemented
83C11×#390C2211yescharacteristic, complemented
84C11×#389C2211yescharacteristic, complemented
85C11×#386C2211yescharacteristic
86C11×#386C2211yescharacteristic
87C11×#380C2211yescharacteristic, complemented
88#10622836C2211yescharacteristic
89#10622836C2211yescharacteristic
90#10622836C2211yescharacteristic, complemented
91#10622836C2211yescharacteristic, complemented
92#10622835C2211yescharacteristic, complemented
93#10622835C2211yescharacteristic, complemented
94#10622833C2211yescharacteristic
95#10622833C2211yescharacteristic
96#10622833C2211yescharacteristic
97#10622833C2211yescharacteristic
98#10622833C2211yescharacteristic, complemented
99#10622826C2211yescharacteristic
100#10622826C2211yescharacteristic
101#10622825C2211yescharacteristic
102#10622825C2211yescharacteristic
103#10622823C2211yescharacteristic, complemented
104#10622823C2211yescharacteristic, complemented
105C2×C11⋊#95C2211yescharacteristic
106C2×C11⋊#95C2211yescharacteristic
107#10622607C2211yescharacteristic, complemented
108#10622607C2211yescharacteristic, complemented
109#10622607C2211yescharacteristic, complemented
110#10622606C2211yescharacteristic
111#10622606C2211yescharacteristic
112#10622606C2211yescharacteristic, complemented
113#10622603C2211yescharacteristic, complemented
114#10622602C2211yescharacteristic
115#10622602C2211yescharacteristic
116#10622602C2211yescharacteristic
117#10622602C2211yescharacteristic
118#10622602C2211yescharacteristic
119#10622602C2211yescharacteristic
120#10622602C2211yescharacteristic
121#10622602C2211yescharacteristic
122#10622600C2211yescharacteristic
123#10622600C2211yescharacteristic
124#10622600C2211yescharacteristic, complemented
125#10622599C2211yescharacteristic, complemented
126#10622598C2211yescharacteristic, complemented
127#10622597C2211yescharacteristic, complemented
128#10622596C2211yescharacteristic, complemented
129#10622596C2211yescharacteristic, complemented
130#10622593C2211yescharacteristic, complemented
131#10622592C2211yescharacteristic, complemented
132#10622587C2211yescharacteristic, complemented
133#10622585C2211yescharacteristic, complemented
134#10622574C2211yescharacteristic
135#10622574C2211yescharacteristic
136#10622574C2211yescharacteristic
137#10622574C2211yescharacteristic
138#10622574C2211yescharacteristic, complemented
139#10622573C2211yescharacteristic
140#10622573C2211yescharacteristic
141#10622572C2211yescharacteristic
142#10622572C2211yescharacteristic
143#10622572C2211yescharacteristic, complemented
144#10622571C2211yescharacteristic, complemented
145#10622570C2211yescharacteristic, complemented
146#10622569C2211yescharacteristic
147#10622569C2211yescharacteristic
148#10622569C2211yescharacteristic
149#10622569C2211yescharacteristic
150#10622569C2211yescharacteristic
151#10622569C2211yescharacteristic
152#10622569C2211yescharacteristic, complemented
153#10622569C2211yescharacteristic, complemented
154#10622565C2211yescharacteristic, complemented
155#10622563C2211yescharacteristic, complemented
156#10622562C2211yescharacteristic, complemented
157#10622562C2211yescharacteristic, complemented
158#10622561C2211yescharacteristic, complemented
159#10622561C2211yescharacteristic, complemented
160#10622561C2211yescharacteristic, complemented
161#10622560C2211yescharacteristic, complemented
162#10622560C2211yescharacteristic, complemented
163#10622559C2211yescharacteristic, complemented
164#10622558C2211yescharacteristic, complemented
165#10622557C2211yescharacteristic, complemented
166#10622557C2211yescharacteristic, complemented
167#10622555C2211yescharacteristic
168#10622555C2211yescharacteristic
169#10622555C2211yescharacteristic, complemented
170#10622555C2211yescharacteristic, complemented
171#10622546C2211yescharacteristic, complemented
172#10622546C2211yescharacteristic, complemented
173#10622288C2211yescharacteristic
174#10622288C2211yescharacteristic
175#10622285C2211yescharacteristic
176#10622285C2211yescharacteristic
177#10622280C2211yescharacteristic
178#10622280C2211yescharacteristic
179#10622278C2211yescharacteristic
180#10622278C2211yescharacteristic
181#10622274C2211yescharacteristic, complemented
182#10622273C2211yescharacteristic, complemented
183#10622270C2211yescharacteristic, complemented
184#10622269C2211yescharacteristic, complemented
185#10622268C2211yescharacteristic, complemented
186#10622267C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×C4×D11—42no—
218C22×C4×D11—42no—
219C22×C4×D11—42no—
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×Dic22C2311yescharacteristic
226C22×Dic22C2311yescharacteristic
227C11×#121—24no—
228C11×#121—42no—
229C11×#121—42no—
230C11×#121—42no—
231C4×D4×C11—24no—
232C2×C11×C4⋊C4—42no—
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C42×C11C2311yescharacteristic
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
270#66992—24no—
271#66992—24no—
272#66992—24no—
273#66992—42no—
274#66992—42no—
275#66992—42no—
276#66991—42no—
277#66991—42no—
278#66990—24no—
279#66990—24no—
280#66990—24no—
281D4×Dic11—24no—
282D4×Dic11—24no—
283#66983—24no—
284#66982—24no—
285C4×C22⋊D11—24no—
286C2×(C2×D11)⋊C4—42no—
287C2×(C2×D11)⋊C4D418yescomplemented
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×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×C4⋊Dic11C2311yescharacteristic
316C2×C4⋊Dic11C2311yescharacteristic
317C2×C4⋊Dic11C2311yescharacteristic
318C2×C4⋊Dic11C2311yescharacteristic
319C2×C4⋊Dic11C2311yescharacteristic
320#66977—24no—
321C2×Dic11⋊C4—42no—
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×Dic11⋊C4C2311yescharacteristic
332C2×Dic11⋊C4C2311yescharacteristic
333C2×Dic11⋊C4C2311yescharacteristic
334C2×Dic11⋊C4C2311yescharacteristic
335C2×Dic11⋊C4C2311yescharacteristic
336C2×Dic11⋊C4C2311yescharacteristic
337C2×Dic11⋊C4C2311yescharacteristic
338C2×C4×Dic11C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341#66951—24no—
342#66951—24no—
343#66951—24no—
344#66950—42no—
345#66947—24no—
346#66939—24no—
347#66939—24no—
348#66938—24no—
349#66938—24no—
350#66938—24no—
351#66937—24no—
352#66937—42no—
353#66937—42no—
354#66935—24no—
355#66931—24no—
356#66931—42no—
357#66929—24no—
358#66928—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#36738—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11C2×D414yes—
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C23×D11C2411yescharacteristic
406C2×D4×C11—22no—
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—
424C22×C4×C11—22no—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—41no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11—41no—
432C22×C4×C11—41no—
433C22×C4×C11—41no—
434C22×C4×C11—41no—
435C22×C4×C11C2×D414yes—
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—22no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11—41no—
460C2×C22⋊D11—41no—
461C2×C22⋊D11—41no—
462C2×C22⋊D11—41no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C2×C22⋊D11—41no—
475C2×C22⋊D11—41no—
476C2×C22⋊D11—41no—
477C22×Dic11—22no—
478C22×Dic11—22no—
479C22×Dic11—22no—
480C22×Dic11—22no—
481C22×Dic11—22no—
482C22×Dic11—41no—
483C22×Dic11—41no—
484C22×Dic11—41no—
485C22×Dic11—41no—
486C22×Dic11—41no—
487C22×Dic11—41no—
488C22×Dic11—41no—
489C22×Dic11—41no—
490C22×Dic11—41no—
491C22×Dic11C2×D414yes—
492C22×Dic11C2411yescharacteristic
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
496C22×Dic11C2411yescharacteristic
497C22×Dic11C2411yescharacteristic
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2411yescharacteristic
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2411yescharacteristic
502C22×Dic11C2411yescharacteristic
503C22×Dic11C2411yescharacteristic
504C22×Dic11C2411yescharacteristic
505C2×D44—22no—
506C2×D44—22no—
507C2×D44—41no—
508C2×D44—41no—
509C2×D44—41no—
510C2×D44—41no—
511C2×C4×D11—22no—
512C2×C4×D11—22no—
513C2×C4×D11—22no—
514C2×C4×D11—22no—
515C2×C4×D11—22no—
516C2×C4×D11—41no—
517C2×C4×D11—41no—
518C2×C4×D11—41no—
519C2×C4×D11—41no—
520C2×C4×D11—41no—
521C2×C4×D11—41no—
522C2×C4×D11—41no—
523C2×C4×D11—41no—
524C2×C4×D11—41no—
525C2×C4×D11—41no—
526C2×C4×D11—416no—
527C2×Dic22—22no—
528C2×Dic22—22no—
529C2×Dic22—41no—
530C2×Dic22—41no—
531C2×Dic22—41no—
532C2×Dic22—41no—
533C11×C4⋊C4—22no—
534C11×C4⋊C4—22no—
535C11×C4⋊C4—22no—
536C11×C4⋊C4—22no—
537C11×C4⋊C4—41no—
538C11×C4⋊C4—41no—
539C11×C4⋊C4—41no—
540C11×C4⋊C4—41no—
541C11×C22⋊C4—22no—
542C11×C22⋊C4—22no—
543C11×C22⋊C4—22no—
544C11×C22⋊C4—22no—
545C11×C22⋊C4—22no—
546C11×C22⋊C4—41no—
547C11×C22⋊C4—41no—
548C11×C22⋊C4—41no—
549C11×C22⋊C4—41no—
550C11×C22⋊C4—41no—
551C11×C22⋊C4—41no—
552C11×C22⋊C4—41no—
553C42×C11—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—41no—
563C22⋊Dic11—41no—
564C22⋊Dic11—41no—
565C22⋊Dic11—41no—
566C22⋊Dic11—41no—
567C22⋊Dic11—41no—
568C22⋊Dic11—41no—
569C22⋊Dic11—41no—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—22no—
578(C2×D11)⋊C4—22no—
579(C2×D11)⋊C4—22no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—41no—
582(C2×D11)⋊C4—41no—
583(C2×D11)⋊C4—41no—
584(C2×D11)⋊C4—41no—
585(C2×D11)⋊C4—41no—
586(C2×D11)⋊C4—41no—
587(C2×D11)⋊C4—41no—
588(C2×D11)⋊C4—41no—
589(C2×D11)⋊C4—41no—
590(C2×D11)⋊C4C2×D414yes—
591(C2×D11)⋊C4C2×D414yes—
592(C2×D11)⋊C4C2×D414yes—
593(C2×D11)⋊C4C2×D414yes—
594C4⋊Dic11—22no—
595C4⋊Dic11—22no—
596C4⋊Dic11—22no—
597C4⋊Dic11—22no—
598C4⋊Dic11—22no—
599C4⋊Dic11—41no—
600C4⋊Dic11—41no—
601C4⋊Dic11—41no—
602Dic11⋊C4—22no—
603Dic11⋊C4—22no—
604Dic11⋊C4—22no—
605Dic11⋊C4—22no—
606Dic11⋊C4—22no—
607Dic11⋊C4—22no—
608Dic11⋊C4—22no—
609Dic11⋊C4—22no—
610Dic11⋊C4—22no—
611Dic11⋊C4—41no—
612Dic11⋊C4—41no—
613Dic11⋊C4—41no—
614Dic11⋊C4—41no—
615Dic11⋊C4—41no—
616Dic11⋊C4—41no—
617Dic11⋊C4—41no—
618C4×Dic11—22no—
619C4×Dic11—22no—
620C4×Dic11—22no—
621C2×#538—111no—
622C2×#538—111no—
623#2847—111no—
624#2847—111no—
625#2722—111no—
626#2715—111no—
627#2715—111no—
628#2712—111no—
629#2695—111no—
630#2695—111no—
631#2693—111no—
632#2691—111no—
633#2691—111no—
634#2676—111no—
635#2676—111no—
636#2675—111no—
637#2672—111no—
638#2672—111no—
639#2671—111no—
640#2671—111no—
641#2617—111no—
642#2617—111no—
643#2564—111no—
644#2564—111no—
645#2543—111no—
646#2543—111no—
647#2417—111no—
648#2417—111no—
649#2416—111no—
650#2416D1111yescharacteristic, complemented
651C2×#385—111no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
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×C11C22×D412yes—
678C23×C11H(5,𝔽2)12yes—
679C23×C112−1+412yes—
680C23×C11C2511yescharacteristic
681C22×D11—28no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—44no—
702C22×D11—44no—
703C22×D11—44no—
704C22×D11—44no—
705C22×D11—44no—
706C22×D11—44no—
707C22×D11C22×D412yes—
708C22×D11C22×D412yes—
709D4×C11—44no—
710D4×C11—44no—
711D4×C11—44no—
712D4×C11—82no—
713D4×C11—82no—
714D4×C11—82no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—44no—
746C2×C4×C11—44no—
747C2×C4×C11—82no—
748C2×C4×C11—82no—
749C2×C4×C11C22×D412yes—
750C2×C4×C11C22×D412yes—
751C2×C4×C11H(5,𝔽2)12yes—
752C22⋊D11—44no—
753C22⋊D11—82no—
754C22⋊D11—82no—
755C22⋊D11—82no—
756C22⋊D11—82no—
757C22⋊D11—82no—
758C22⋊D11—82no—
759C22⋊D11—82no—
760C22⋊D11—82no—
761C22⋊D11—82no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
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—44no—
799C2×Dic11—44no—
800C2×Dic11—82no—
801C2×Dic11—82no—
802C2×Dic11—82no—
803C2×Dic11C22×D412yes—
804C2×Dic11C22×D412yes—
805C2×Dic11H(5,𝔽2)12yes—
806D44—82no—
807D44—82no—
808C4×D11—44no—
809C4×D11—44no—
810C4×D11—44no—
811C4×D11—44no—
812C4×D11—82no—
813Dic22—82no—
814Dic22—82no—
815C24×C4—111no—
816#538—228no—
817#538—228no—
818C2×#126—111no—
819C2×#126—111no—
820C2×#126—111no—
821C2×#126—111no—
822C2×#124—111no—
823C2×#124—111no—
824C2×#124—111no—
825C2×#124—111no—
826C2×#123—111no—
827C2×#123—111no—
828C2×#123—111no—
829C2×#123—111no—
830C2×C22⋊Q8—111no—
831C2×C22⋊Q8—111no—
832C2×C22⋊Q8—111no—
833C2×C22⋊Q8—111no—
834C2×#121—111no—
835C2×#121—111no—
836C2×#121—111no—
837C2×#121—111no—
838C2×#121—111no—
839C2×#121—111no—
840C2×#121—111no—
841C2×#121—111no—
842C2×#121—111no—
843C2×#121—111no—
844C2×#121—111no—
845C2×#121—111no—
846C2×#121C2×D1111yescharacteristic
847C2×#121C2×D1111yescharacteristic
848C2×#121C2×D1111yescharacteristic
849C2×#121C2×D1111yescharacteristic, complemented
850C2×#120—111no—
851C2×#120—111no—
852C2×#120—111no—
853C2×#120—111no—
854C2×C4×D4—111no—
855C2×C4×D4—111no—
856C2×C4×D4—111no—
857C2×C4×D4C2×D1111yescharacteristic
858C22×C4⋊C4—111no—
859C22×C4⋊C4C2×D1111yescharacteristic
860C22×C22⋊C4—111no—
861C22×C22⋊C4—111no—
862#400—111no—
863#400—111no—
864#399—111no—
865#399—111no—
866#398—111no—
867#398—111no—
868#398—111no—
869#398—111no—
870#398—111no—
871#398—111no—
872#397—111no—
873#397—111no—
874#397—111no—
875#397—111no—
876#397—111no—
877#397—111no—
878#396—111no—
879#396—111no—
880#396—111no—
881#396—111no—
882#396—111no—
883#396—111no—
884#396C2×D1111yescharacteristic, complemented
885#396C2×D1111yescharacteristic, complemented
886#395—111no—
887#395—111no—
888#394—111no—
889#394—111no—
890#394—111no—
891#394—111no—
892#394—111no—
893#394—111no—
894#394—111no—
895#394—111no—
896#394—111no—
897#394—111no—
898#394—111no—
899#394—111no—
900#394C2×D1111yescharacteristic, complemented
901#394C2×D1111yescharacteristic, complemented
902#393—111no—
903#393—111no—
904#392—111no—
905#392—111no—
906#392—111no—
907#392—111no—
908#392—111no—
909#392—111no—
910#391—111no—
911#391—111no—
912#390—111no—
913#390C2×D1111yescharacteristic, complemented
914#389—111no—
915#389—111no—
916#389—111no—
917#389C2×D1111yescharacteristic, complemented
918#388—111no—
919#388—111no—
920#388—111no—
921#388—111no—
922#387—111no—
923#387—111no—
924#387—111no—
925#387—111no—
926#386—111no—
927#386—111no—
928#386—111no—
929#386—111no—
930#386—111no—
931#386—111no—
932#386—111no—
933#386—111no—
934#386—111no—
935#386—111no—
936#386—111no—
937#386—111no—
938#386—111no—
939#386—111no—
940#386—111no—
941#386—111no—
942#386—111no—
943#386—111no—
944#386C2×D1111yescharacteristic
945#386C2×D1111yescharacteristic
946#385—111no—
947#385—111no—
948#385—111no—
949#385—111no—
950#385—111no—
951#385—111no—
952#385—111no—
953#385—111no—
954#385—111no—
955#385—111no—
956#385—111no—
957#385—111no—
958#380—111no—
959#380—111no—
960#380—111no—
961#380—111no—
962#380—111no—
963#380—111no—
964#380—111no—
965#380—111no—
966#380—111no—
967#380—111no—
968#380—111no—
969#380C2×D1111yescharacteristic, complemented
970C2×#95—111no—
971C2×#95—111no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—22no—
976C22×C11—22no—
977C22×C11—22no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
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#53714yes—
1000C22×C11C23×D411yescharacteristic
1001C22×C11C2×H(5,𝔽2)11yescharacteristic
1002C22×C11C2×H(5,𝔽2)11yescharacteristic
1003C22×C11C2×H(5,𝔽2)11yescharacteristic
1004C22×C11C2×2−1+411yescharacteristic
1005C22×C11#58511yescharacteristic
1006C22×C11#58511yescharacteristic
1007C2×D11—22no—
1008C2×D11—22no—
1009C2×D11—22no—
1010C2×D11—22no—
1011C2×D11—22no—
1012C2×D11—22no—
1013C2×D11—416no—
1014C2×D11—41no—
1015C2×D11—41no—
1016C2×D11—41no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C4×C11—22no—
1030C4×C11—22no—
1031C4×C11—22no—
1032C4×C11—41no—
1033C4×C11—41no—
1034C4×C11—41no—
1035C4×C11—41no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040Dic11—22no—
1041Dic11—22no—
1042Dic11—22no—
1043Dic11—41no—
1044Dic11—41no—
1045Dic11—41no—
1046Dic11—41no—
1047Dic11—41no—
1048Dic11—41no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053C25—111no—
1054C22×Q8—111no—
1055C22×Q8—111no—
1056C22×D4—111no—
1057C22×D4—111no—
1058C22×D4—111no—
1059C22×D4—111no—
1060C22×D4—111no—
1061C22×D4—111no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4C22×D1111yescharacteristic
1069C22×D4C22×D1111yescharacteristic
1070C22×D4C22×D1111yescharacteristic
1071C22×D4C22×D1111yescharacteristic
1072C22×D4C22×D1111yescharacteristic
1073C22×D4C22×D1111yescharacteristic
1074C23×C4—111no—
1075C23×C4—111no—
1076C23×C4—111no—
1077C23×C4—111no—
1078C23×C4—111no—
1079C23×C4—111no—
1080C23×C4—111no—
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—442no—
1085C23×C4—442no—
1086C23×C4—442no—
1087C23×C4C22×D1111yescharacteristic
1088C23×C4C22×D1111yescharacteristic
1089C23×C4C22×D1111yescharacteristic
1090C23×C4C22×D1111yescharacteristic
1091#126—224no—
1092#126—224no—
1093#126—224no—
1094#126—224no—
1095#124—224no—
1096#124—224no—
1097#124—224no—
1098#124—224no—
1099#123—224no—
1100#123—224no—
1101#123—224no—
1102#123—224no—
1103C22⋊Q8—224no—
1104C22⋊Q8—224no—
1105C22⋊Q8—442no—
1106C22⋊Q8—442no—
1107#121—24no—
1108#121—42no—
1109#121—42no—
1110#121—42no—
1111#121—224no—
1112#121—224no—
1113#121—224no—
1114#121—224no—
1115#121—224no—
1116#121—442no—
1117#121—442no—
1118#121—442no—
1119#121—442no—
1120#121—442no—
1121#121—442no—
1122#121—442no—
1123#120—224no—
1124#120—224no—
1125#120—224no—
1126#120—224no—
1127C4×D4—24no—
1128C4×D4—224no—
1129C4×D4—224no—
1130C4×D4—224no—
1131C2×C4⋊C4—42no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—111no—
1136C2×C4⋊C4—111no—
1137C2×C4⋊C4—111no—
1138C2×C4⋊C4—111no—
1139C2×C4⋊C4—111no—
1140C2×C4⋊C4—111no—
1141C2×C4⋊C4—111no—
1142C2×C4⋊C4—111no—
1143C2×C4⋊C4—111no—
1144C2×C4⋊C4—111no—
1145C2×C4⋊C4—111no—
1146C2×C4⋊C4—111no—
1147C2×C4⋊C4—111no—
1148C2×C4⋊C4—111no—
1149C2×C4⋊C4—111no—
1150C2×C4⋊C4—111no—
1151C2×C4⋊C4—111no—
1152C2×C4⋊C4—111no—
1153C2×C4⋊C4—111no—
1154C2×C4⋊C4—111no—
1155C2×C4⋊C4—111no—
1156C2×C4⋊C4—442no—
1157C2×C4⋊C4C22×D1111yescharacteristic
1158C2×C4⋊C4C22×D1111yescharacteristic
1159C2×C4⋊C4C22×D1111yescharacteristic
1160C2×C4⋊C4C22×D1111yescharacteristic
1161C2×C4⋊C4C22×D1111yescharacteristic
1162C2×C4⋊C4C22×D1111yescharacteristic
1163C2×C4⋊C4C22×D1111yescharacteristic
1164C2×C4⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4—118no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
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—442no—
1207C2×C22⋊C4C22×D1111yescharacteristic
1208C2×C22⋊C4C22×D1111yescharacteristic
1209C2×C22⋊C4C22×D1111yescharacteristic
1210C2×C22⋊C4C22×D1111yescharacteristic
1211C2×C22⋊C4C22×D1111yescharacteristic
1212C2×C22⋊C4C22×D1111yescharacteristic
1213C2×C22⋊C4C22×D1111yescharacteristic
1214C2×C22⋊C4C22×D1111yescharacteristic
1215C2×C22⋊C4C22×D1111yescharacteristic
1216C2×C22⋊C4C22×D1111yescharacteristic
1217C2×C22⋊C4C22×D1111yescharacteristic
1218C2×C22⋊C4C22×D1111yescharacteristic
1219C2×C42—111no—
1220C2×C42—111no—
1221C2×C42—111no—
1222C2×C42C22×D1111yescharacteristic
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239#95—111no—
1240#95—111no—
1241#95—111no—
1242#95—111no—
1243#95—111no—
1244#95—111no—
1245#95—111no—
1246#95—111no—
1247#95—111no—
1248#95—111no—
1249#95—111no—
1250#95—111no—
1251#95C22×D1111yescharacteristic
1252#95C22×D1111yescharacteristic
1253#95C22×D1111yescharacteristic
1254#95C22×D1111yescharacteristic
1255C2×C11—24no—
1256C2×C11—81no—
1257C2×C11—81no—
1258C2×C11—81no—
1259C2×C11C2×#53711yescharacteristic
1260C2×C11#349611yescharacteristic
1261C2×C11#349611yescharacteristic
1262C2×C11#353211yescharacteristic
1263C2×C11#353311yescharacteristic
1264C2×C11#354111yescharacteristic
1265C2×C11#354111yescharacteristic
1266D11—42no—
1267D11—42no—
1268D11—81no—
1269C24—111no—
1270C24—111no—
1271C24—114no—
1272C24—111no—
1273C24—222no—
1274C24—222no—
1275C24—441no—
1276C24—441no—
1277C24—441no—
1278C24—441no—
1279C24C23×D1111yescharacteristic
1280C24C23×D1111yescharacteristic
1281C24C23×D1111yescharacteristic
1282C24C23×D1111yescharacteristic
1283C2×Q8—222no—
1284C2×Q8—222no—
1285C2×Q8—441no—
1286C2×Q8—441no—
1287C2×Q8—441no—
1288C2×Q8—441no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—222no—
1308C2×D4—222no—
1309C2×D4—222no—
1310C2×D4—222no—
1311C2×D4—222no—
1312C2×D4—222no—
1313C2×D4—222no—
1314C2×D4—222no—
1315C2×D4—222no—
1316C2×D4—222no—
1317C2×D4—222no—
1318C2×D4—222no—
1319C2×D4—222no—
1320C2×D4—441no—
1321C2×D4—441no—
1322C2×D4—441no—
1323C2×D4—441no—
1324C2×D4—441no—
1325C2×D4—441no—
1326C2×D4—441no—
1327C2×D4—441no—
1328C2×D4—441no—
1329C2×D4—441no—
1330C2×D4—441no—
1331C2×D4—441no—
1332C2×D4—441no—
1333C2×D4—441no—
1334C2×D4—441no—
1335C2×D4—441no—
1336C2×D4—441no—
1337C2×D4—441no—
1338C2×D4—441no—
1339C2×D4—441no—
1340C2×D4—441no—
1341C2×D4—441no—
1342C2×D4—441no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—111no—
1355C22×C4—111no—
1356C22×C4—111no—
1357C22×C4—114no—
1358C22×C4—111no—
1359C22×C4—111no—
1360C22×C4—111no—
1361C22×C4—111no—
1362C22×C4—111no—
1363C22×C4—111no—
1364C22×C4—111no—
1365C22×C4—111no—
1366C22×C4—111no—
1367C22×C4—111no—
1368C22×C4—222no—
1369C22×C4—222no—
1370C22×C4—222no—
1371C22×C4—222no—
1372C22×C4—222no—
1373C22×C4—222no—
1374C22×C4—222no—
1375C22×C4—222no—
1376C22×C4—222no—
1377C22×C4—222no—
1378C22×C4—441no—
1379C22×C4—441no—
1380C22×C4—441no—
1381C22×C4—441no—
1382C22×C4—441no—
1383C22×C4—441no—
1384C22×C4—441no—
1385C22×C4—441no—
1386C22×C4—441no—
1387C22×C4—441no—
1388C22×C4—4416no—
1389C22×C4—441no—
1390C22×C4—441no—
1391C22×C4—441no—
1392C22×C4—441no—
1393C22×C4—441no—
1394C22×C4—441no—
1395C22×C4—441no—
1396C22×C4—441no—
1397C22×C4—441no—
1398C22×C4D4×D1114yes—
1399C22×C4C23×D1111yescharacteristic
1400C22×C4C23×D1111yescharacteristic
1401C22×C4C23×D1111yescharacteristic
1402C22×C4C23×D1111yescharacteristic
1403C22×C4C23×D1111yescharacteristic
1404C22×C4C23×D1111yescharacteristic
1405C22×C4C23×D1111yescharacteristic
1406C22×C4C23×D1111yescharacteristic
1407C22×C4C23×D1111yescharacteristic
1408C22×C4C23×D1111yescharacteristic
1409C22×C4C23×D1111yescharacteristic
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—222no—
1419C4⋊C4—222no—
1420C4⋊C4—222no—
1421C4⋊C4—222no—
1422C4⋊C4—222no—
1423C4⋊C4—222no—
1424C4⋊C4—222no—
1425C4⋊C4—222no—
1426C4⋊C4—222no—
1427C4⋊C4—222no—
1428C4⋊C4—222no—
1429C4⋊C4—222no—
1430C4⋊C4—222no—
1431C4⋊C4—222no—
1432C4⋊C4—441no—
1433C4⋊C4—441no—
1434C4⋊C4—441no—
1435C4⋊C4—441no—
1436C4⋊C4—441no—
1437C4⋊C4—441no—
1438C4⋊C4—441no—
1439C4⋊C4—441no—
1440C4⋊C4—441no—
1441C4⋊C4—441no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—114no—
1455C22⋊C4—114no—
1456C22⋊C4—114no—
1457C22⋊C4—114no—
1458C22⋊C4—222no—
1459C22⋊C4—222no—
1460C22⋊C4—222no—
1461C22⋊C4—222no—
1462C22⋊C4—222no—
1463C22⋊C4—222no—
1464C22⋊C4—222no—
1465C22⋊C4—222no—
1466C22⋊C4—222no—
1467C22⋊C4—222no—
1468C22⋊C4—222no—
1469C22⋊C4—222no—
1470C22⋊C4—222no—
1471C22⋊C4—222no—
1472C22⋊C4—222no—
1473C22⋊C4—222no—
1474C22⋊C4—222no—
1475C22⋊C4—222no—
1476C22⋊C4—222no—
1477C22⋊C4—441no—
1478C22⋊C4—441no—
1479C22⋊C4—441no—
1480C22⋊C4—441no—
1481C22⋊C4—441no—
1482C22⋊C4—441no—
1483C22⋊C4—441no—
1484C22⋊C4—441no—
1485C22⋊C4—441no—
1486C22⋊C4—441no—
1487C22⋊C4—441no—
1488C22⋊C4—441no—
1489C22⋊C4—441no—
1490C22⋊C4—441no—
1491C22⋊C4—441no—
1492C22⋊C4—441no—
1493C22⋊C4—441no—
1494C42—22no—
1495C42—222no—
1496C42—222no—
1497C42—222no—
1498C11#3673811yescharacteristic, complemented, Sylow
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—112no—
1525C23—112no—
1526C23—228no—
1527C23—221no—
1528C23—221no—
1529C23—221no—
1530C23—221no—
1531C23—221no—
1532C23—221no—
1533C23—221no—
1534C23—221no—
1535C23—221no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23—221no—
1543C23—221no—
1544C23—221no—
1545C23—221no—
1546C23—444no—
1547C23—444no—
1548C23—444no—
1549C23—444no—
1550C23—444no—
1551C23—444no—
1552C23C2×D4×D1112yes—
1553C23#6703712yes—
1554C23#6704312yes—
1555C23C24×D1111yescharacteristic
1556Q8—882no—
1557Q8—882no—
1558D4—44no—
1559D4—44no—
1560D4—44no—
1561D4—82no—
1562D4—82no—
1563D4—82no—
1564D4—444no—
1565D4—882no—
1566D4—882no—
1567D4—882no—
1568D4—882no—
1569D4—882no—
1570D4—882no—
1571D4—882no—
1572D4—882no—
1573D4—882no—
1574D4—882no—
1575D4—882no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—82no—
1609C2×C4—82no—
1610C2×C4—112no—
1611C2×C4—112no—
1612C2×C4—112no—
1613C2×C4—221no—
1614C2×C4—221no—
1615C2×C4—221no—
1616C2×C4—221no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—221no—
1649C2×C4—444no—
1650C2×C4—444no—
1651C2×C4—444no—
1652C2×C4—444no—
1653C2×C4—444no—
1654C2×C4—444no—
1655C2×C4—882no—
1656C2×C4—882no—
1657C2×C4—882no—
1658C2×C4—882no—
1659C2×C4C2×D4×D1112yes—
1660C2×C4C2×D4×D1112yes—
1661C2×C4#6703712yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—222no—
1690C22—222no—
1691C22—222no—
1692C22—222no—
1693C22—222no—
1694C22—222no—
1695C22—4416no—
1696C22—441no—
1697C22—441no—
1698C22—441no—
1699C22—441no—
1700C22—441no—
1701C22—441no—
1702C22—441no—
1703C22—441no—
1704C22—441no—
1705C22—441no—
1706C22—441no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22#1062313914yes—
1712C22C22×D4×D1111yescharacteristic
1713C22C2×#6703711yescharacteristic
1714C22C2×#6703711yescharacteristic
1715C22C2×#6704311yescharacteristic
1716C22#1062345311yescharacteristic
1717C22D11×H(5,𝔽2)11yescharacteristic
1718C22#1062345711yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—222no—
1731C4—222no—
1732C4—222no—
1733C4—441no—
1734C4—441no—
1735C4—441no—
1736C4—441no—
1737C4—441no—
1738C4—441no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C2—24no—
1744C2—81no—
1745C2—81no—
1746C2—81no—
1747C2—442no—
1748C2—442no—
1749C2—881no—
1750C2C2×#1062313911yescharacteristic
1751C2#1308237311yescharacteristic
1752C2#1308237911yescharacteristic
1753C2#1308276611yescharacteristic
1754C2#1308278611yescharacteristic
1755C2#1308289411yescharacteristic
1756C2#1308289511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2416C2
hypercenter#2416D11
hypocenterC11#36738
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2416

Complements

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

NH ≅ G/Ntype
1. C2×#10623148C2semidirect
2. C2×#10623091C2semidirect
3. #13076897C2semidirect
4. #13076895C2semidirect
5. #13075524C2semidirect
6. #13075433C2semidirect
7. #13075428C2semidirect
8. #13075389C2semidirect
9. #13075158C2semidirect
10. #13075151C2semidirect
11. #13075128C2semidirect
12. #13075098C2semidirect
13. #13075097C2semidirect
14. #13074924C2semidirect
15. #13074914C2semidirect
16. #13074906C2semidirect
17. #13074874C2semidirect
18. #13074873C2semidirect
19. #13074858C2semidirect
20. #13074848C2semidirect
21. #13074356C2semidirect
22. #13074352C2semidirect
23. #13073800C2semidirect
24. #13073792C2semidirect
25. #13073578C2semidirect
26. #13073574C2semidirect
27. #13072064C2semidirect
28. #13072061C2semidirect
29. #13072053C2semidirect
30. C2×#10622602C2semidirect
31. C11×#2416C2semidirect
36. C2×C11×#121C22semidirect
44. C2×#66992C22semidirect
64. C2×#66950C22semidirect
76. C2×#66931C22semidirect
79. C11×#396C22semidirect
80. C11×#396C22semidirect
81. C11×#394C22semidirect
82. C11×#394C22semidirect
83. C11×#390C22semidirect
84. C11×#389C22semidirect
87. C11×#380C22semidirect
90. #10622836C22semidirect
91. #10622836C22semidirect
92. #10622835C22semidirect
93. #10622835C22semidirect
98. #10622833C22semidirect
103. #10622823C22semidirect
104. #10622823C22semidirect
107. #10622607C22semidirect
108. #10622607C22semidirect
109. #10622607C22semidirect
112. #10622606C22semidirect
113. #10622603C22semidirect
124. #10622600C22semidirect
125. #10622599C22semidirect
126. #10622598C22semidirect
127. #10622597C22semidirect
128. #10622596C22semidirect
129. #10622596C22semidirect
130. #10622593C22semidirect
131. #10622592C22semidirect
132. #10622587C22semidirect
133. #10622585C22semidirect
138. #10622574C22semidirect
143. #10622572C22semidirect
144. #10622571C22semidirect
145. #10622570C22semidirect
152. #10622569C22semidirect
153. #10622569C22semidirect
154. #10622565C22semidirect
155. #10622563C22semidirect
156. #10622562C22semidirect
157. #10622562C22semidirect
158. #10622561C22semidirect
159. #10622561C22semidirect
160. #10622561C22semidirect
161. #10622560C22semidirect
162. #10622560C22semidirect
163. #10622559C22semidirect
164. #10622558C22semidirect
165. #10622557C22semidirect
166. #10622557C22semidirect
169. #10622555C22semidirect
170. #10622555C22semidirect
171. #10622546C22semidirect
172. #10622546C22semidirect
181. #10622274C22semidirect
182. #10622273C22semidirect
183. #10622270C22semidirect
184. #10622269C22semidirect
185. #10622268C22semidirect
186. #10622267C22semidirect
187. #10622260C22semidirect
188. #10622259C22semidirect
287. C2×(C2×D11)⋊C4D4semidirect
650. #2416D11semidirect
849. C2×#121C2×D11semidirect
884. #396C2×D11semidirect
885. #396C2×D11semidirect
900. #394C2×D11semidirect
901. #394C2×D11semidirect
913. #390C2×D11semidirect
917. #389C2×D11semidirect
969. #380C2×D11semidirect
1498. C11#36738semidirect

Maximal subgroups

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

subgroupindex
C2×#106231482
C2×#106230912
#130768972
#130768952
#130755242
#130754332
#130754282
#130753892
#130751582
#130751512
#130751282
#130750982
#130750972
#130749242
#130749142
#130749062
#130748742
#130748732
#130748582
#130748482
#130743562
#130743522
#130738002
#130737922
#130735782
#130735742
#130720642
#130720612
#130720532
C2×#106226022
C11×#24162
#3673811