Finite Group Databasebeta

← #14960672

Subgroups — #14960672

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×#10623158C211yesmaximal, characteristic, complemented
3#13076905C211yesmaximal, characteristic, complemented
4#13076897C211yesmaximal, characteristic, complemented
5#13075133C211yesmaximal, characteristic, complemented
6#13075125C211yesmaximal, characteristic, complemented
7#13075081C211yesmaximal, characteristic, complemented
8#13075056C211yesmaximal, characteristic, complemented
9#13075033C211yesmaximal, characteristic, complemented
10#13074939C211yesmaximal, characteristic, complemented
11#13074912C211yesmaximal, characteristic, complemented
12#13074909C211yesmaximal, characteristic, complemented
13#13074882C211yesmaximal, characteristic, complemented
14#13074875C211yesmaximal, characteristic, complemented
15#13074857C211yesmaximal, characteristic, complemented
16#13074856C211yesmaximal, characteristic, complemented
17#13074832C211yesmaximal, characteristic, complemented
18#13074828C211yesmaximal, characteristic, complemented
19#13074823C211yesmaximal, characteristic, complemented
20#13074502C211yesmaximal, characteristic, complemented
21#13074456C211yesmaximal, characteristic, complemented
22#13074289C211yesmaximal, characteristic, complemented
23#13074227C211yesmaximal, characteristic, complemented
24#13074183C211yesmaximal, characteristic, complemented
25#13074181C211yesmaximal, characteristic, complemented
26#13073579C211yesmaximal, characteristic, complemented
27#13073519C211yesmaximal, characteristic, complemented
28#13072238C211yesmaximal, characteristic, complemented
29#13072227C211yesmaximal, characteristic, complemented
30#13071246C211yesmaximal, characteristic, complemented
31C11×#2672C211yesmaximal, characteristic, complemented
32C22×#4343C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#124C2211yescharacteristic, complemented
35C2×C11×#123C2211yescharacteristic
36C2×C11×C22⋊Q8C2211yescharacteristic
37C2×C11×#121C2211yescharacteristic
38C2×#66999C2211yescharacteristic
39C2×#66993C2211yescharacteristic
40C2×#66993C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic, complemented
44C2×#66991C2211yescharacteristic, complemented
45C2×#66990C2211yescharacteristic
46C2×#66990C2211yescharacteristic
47C2×#66988C2211yescharacteristic
48C2×#66983C2211yescharacteristic
49C2×#66983C2211yescharacteristic
50C2×#66982C2211yescharacteristic, complemented
51C2×C4×C22⋊D11C2211yescharacteristic, complemented
52#10623158—28no—
53#10623146—28no—
54C2×#66948C2211yescharacteristic
55C2×#66948C2211yescharacteristic
56C2×#66948C2211yescharacteristic
57C2×#66948C2211yescharacteristic, complemented
58C2×#66947C2211yescharacteristic
59C2×#66947C2211yescharacteristic
60C2×#66947C2211yescharacteristic, complemented
61C2×#66946C2211yescharacteristic
62C2×#66946C2211yescharacteristic
63C2×#66945C2211yescharacteristic
64C2×#66942C2211yescharacteristic, complemented
65C2×#66937C2211yescharacteristic
66C2×#66937C2211yescharacteristic
67C2×#66937C2211yescharacteristic
68C2×#66937C2211yescharacteristic
69C2×#66937C2211yescharacteristic, complemented
70C2×#66936C2211yescharacteristic
71C2×#66935C2211yescharacteristic
72C2×#66935C2211yescharacteristic
73C2×#66935C2211yescharacteristic
74C2×(C22⋊D11)⋊C4C2211yescharacteristic
75C2×(C22⋊D11)⋊C4C2211yescharacteristic
76C2×#66930C2211yescharacteristic, complemented
77C11×#399C2211yescharacteristic, complemented
78C11×#396C2211yescharacteristic, complemented
79C11×#395C2211yescharacteristic, complemented
80C11×#394C2211yescharacteristic
81C11×#394C2211yescharacteristic
82C11×#394C2211yescharacteristic, complemented
83C11×#389C2211yescharacteristic, complemented
84C11×#388C2211yescharacteristic
85C11×#386C2211yescharacteristic
86C11×#385C2211yescharacteristic, complemented
87C11×#380C2211yescharacteristic, complemented
88#10622844C2211yescharacteristic, complemented
89#10622843C2211yescharacteristic, complemented
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622836C2211yescharacteristic
93#10622826C2211yescharacteristic
94#10622826C2211yescharacteristic
95#10622824C2211yescharacteristic
96#10622607C2211yescharacteristic
97#10622605C2211yescharacteristic
98#10622605C2211yescharacteristic, complemented
99#10622604C2211yescharacteristic
100#10622604C2211yescharacteristic
101#10622604C2211yescharacteristic, complemented
102#10622603C2211yescharacteristic
103#10622603C2211yescharacteristic
104#10622603C2211yescharacteristic, complemented
105#10622603C2211yescharacteristic, complemented
106#10622603C2211yescharacteristic, complemented
107#10622602C2211yescharacteristic
108#10622602C2211yescharacteristic
109#10622602C2211yescharacteristic
110#10622602C2211yescharacteristic
111#10622602C2211yescharacteristic, complemented
112#10622602C2211yescharacteristic, complemented
113#10622602C2211yescharacteristic, complemented
114#10622600C2211yescharacteristic, complemented
115#10622597C2211yescharacteristic, complemented
116#10622596C2211yescharacteristic, complemented
117#10622595C2211yescharacteristic, complemented
118#10622594C2211yescharacteristic, complemented
119#10622593C2211yescharacteristic, complemented
120#10622590C2211yescharacteristic, complemented
121#10622574C2211yescharacteristic
122#10622574C2211yescharacteristic
123#10622574C2211yescharacteristic, complemented
124#10622573C2211yescharacteristic
125#10622573C2211yescharacteristic
126#10622573C2211yescharacteristic
127#10622573C2211yescharacteristic
128#10622573C2211yescharacteristic
129#10622573C2211yescharacteristic
130#10622573C2211yescharacteristic, complemented
131#10622573C2211yescharacteristic, complemented
132#10622573C2211yescharacteristic, complemented
133#10622573C2211yescharacteristic, complemented
134#10622572C2211yescharacteristic
135#10622572C2211yescharacteristic, complemented
136#10622572C2211yescharacteristic, complemented
137#10622571C2211yescharacteristic
138#10622571C2211yescharacteristic
139#10622571C2211yescharacteristic, complemented
140#10622569C2211yescharacteristic
141#10622569C2211yescharacteristic
142#10622569C2211yescharacteristic
143#10622569C2211yescharacteristic
144#10622569C2211yescharacteristic
145#10622569C2211yescharacteristic
146#10622569C2211yescharacteristic
147#10622569C2211yescharacteristic
148#10622569C2211yescharacteristic, complemented
149#10622569C2211yescharacteristic, complemented
150#10622569C2211yescharacteristic, complemented
151#10622569C2211yescharacteristic, complemented
152#10622568C2211yescharacteristic
153#10622565C2211yescharacteristic
154#10622564C2211yescharacteristic
155#10622563C2211yescharacteristic, complemented
156#10622561C2211yescharacteristic, complemented
157#10622558C2211yescharacteristic, complemented
158#10622558C2211yescharacteristic, complemented
159#10622556C2211yescharacteristic
160#10622555C2211yescharacteristic
161#10622552C2211yescharacteristic
162#10622552C2211yescharacteristic
163C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
164#10622546C2211yescharacteristic, complemented
165#10622289C2211yescharacteristic, complemented
166#10622288C2211yescharacteristic
167#10622288C2211yescharacteristic, complemented
168#10622287C2211yescharacteristic
169#10622287C2211yescharacteristic, complemented
170#10622285C2211yescharacteristic
171#10622284C2211yescharacteristic
172#10622284C2211yescharacteristic
173#10622282C2211yescharacteristic
174#10622281C2211yescharacteristic, complemented
175#10622280C2211yescharacteristic
176#10622280C2211yescharacteristic
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic
179#10622278C2211yescharacteristic
180#10622278C2211yescharacteristic
181#10622278C2211yescharacteristic, complemented
182#10622278C2211yescharacteristic, complemented
183D11×#95C2211yescharacteristic, complemented
184#10622273C2211yescharacteristic, complemented
185#10622271C2211yescharacteristic, complemented
186#10622267C2211yescharacteristic, complemented
187#10622265C2211yescharacteristic, complemented
188#10622264C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C2×#4343—24no—
212C2×#4343—42no—
213C2×#4343—42no—
214C22×D44C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C22×D44C2311yescharacteristic
219C22×D44C2311yescharacteristic
220C22×D44C2311yescharacteristic
221C22×D44C2311yescharacteristic
222C22×D44C2311yescharacteristic
223C22×C4×D11—24no—
224C22×C4×D11—42no—
225C22×C4×D11—42no—
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C11×#124—42no—
236C11×#123—42no—
237C11×C22⋊Q8—24no—
238C11×#121—24no—
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C42×C11C2311yescharacteristic
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#66999—24no—
271#66993—24no—
272#66993—42no—
273#66992—24no—
274#66992—24no—
275#66992—24no—
276#66991—24no—
277#66990—42no—
278#66990—42no—
279#66988—24no—
280#66983—24no—
281#66983—42no—
282#66982—24no—
283C4×C22⋊D11—24no—
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×(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×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×(C2×D11)⋊C4C2311yescharacteristic
317C2×C4⋊Dic11C2311yescharacteristic
318C2×C4⋊Dic11C2311yescharacteristic
319C2×C4⋊Dic11C2311yescharacteristic
320C2×C4⋊Dic11C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×Dic11⋊C4C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336#66948—24no—
337#66948—42no—
338#66948—42no—
339#66948—42no—
340#66947—24no—
341#66947—24no—
342#66947—24no—
343#66946—24no—
344#66946—24no—
345#66945—24no—
346#66942—24no—
347#66937—24no—
348#66937—42no—
349#66937—42no—
350#66937—42no—
351#66937—42no—
352#66936—24no—
353#66935—24no—
354#66935—24no—
355#66935—42no—
356(C22⋊D11)⋊C4—24no—
357(C22⋊D11)⋊C4D418yescomplemented
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×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C23×D11C2411yescharacteristic
406C23×D11C2411yescharacteristic
407C2×Q8×C11—22no—
408C2×Q8×C11—22no—
409C2×Q8×C11—41no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—41no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C22×C4×C11—22no—
420C22×C4×C11—22no—
421C22×C4×C11—22no—
422C22×C4×C11—41no—
423C22×C4×C11—41no—
424C22×C4×C11—41no—
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11—41no—
452C2×C22⋊D11—41no—
453C2×C22⋊D11—41no—
454C2×C22⋊D11—41no—
455C2×C22⋊D11—41no—
456C2×C22⋊D11—41no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11—41no—
460C2×C22⋊D11—41no—
461C2×C22⋊D11—41no—
462C2×C22⋊D11—41no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C2×C22⋊D11—41no—
475C2×C22⋊D11C2×D414yes—
476C22×Dic11—22no—
477C22×Dic11—41no—
478C22×Dic11—41no—
479C22×Dic11—41no—
480C22×Dic11—41no—
481C22×Dic11C2×D414yes—
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492C22×Dic11C2411yescharacteristic
493#4343—416no—
494C2×D44—22no—
495C2×D44—22no—
496C2×D44—22no—
497C2×D44—22no—
498C2×D44—22no—
499C2×D44—22no—
500C2×D44—22no—
501C2×D44—22no—
502C2×D44—22no—
503C2×D44—22no—
504C2×D44—22no—
505C2×D44—22no—
506C2×D44—22no—
507C2×D44—41no—
508C2×D44—41no—
509C2×D44—41no—
510C2×D44—41no—
511C2×D44—41no—
512C2×D44—41no—
513C2×D44—41no—
514C2×D44—41no—
515C2×D44—41no—
516C2×D44—41no—
517C2×D44—41no—
518C2×D44—41no—
519C2×D44—41no—
520C2×D44—41no—
521C2×C4×D11—22no—
522C2×C4×D11—22no—
523C2×C4×D11—22no—
524C2×C4×D11—22no—
525C2×C4×D11—22no—
526C2×C4×D11—22no—
527C2×C4×D11—22no—
528C2×C4×D11—22no—
529C2×C4×D11—22no—
530C2×C4×D11—22no—
531C2×C4×D11—41no—
532C2×C4×D11—41no—
533C2×C4×D11—41no—
534C2×C4×D11—41no—
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×D11—41no—
546C2×C4×D11—41no—
547C2×C4×D11—416no—
548C2×C4×D11C2×D414yes—
549C11×C4⋊C4—22no—
550C11×C4⋊C4—22no—
551C11×C4⋊C4—22no—
552C11×C4⋊C4—22no—
553C11×C4⋊C4—22no—
554C11×C4⋊C4—41no—
555C11×C4⋊C4—41no—
556C11×C4⋊C4—41no—
557C11×C4⋊C4—41no—
558C11×C22⋊C4—22no—
559C11×C22⋊C4—22no—
560C11×C22⋊C4—22no—
561C11×C22⋊C4—22no—
562C11×C22⋊C4—41no—
563C11×C22⋊C4—41no—
564C11×C22⋊C4—41no—
565C11×C22⋊C4—41no—
566C11×C22⋊C4—41no—
567C11×C22⋊C4—41no—
568C11×C22⋊C4—41no—
569C11×C22⋊C4—41no—
570C11×C22⋊C4C2×D414yes—
571C42×C11—41no—
572C22⋊Dic11—22no—
573C22⋊Dic11—22no—
574C22⋊Dic11—22no—
575C22⋊Dic11—22no—
576C22⋊Dic11—41no—
577C22⋊Dic11—41no—
578C22⋊Dic11—41no—
579C22⋊Dic11—41no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—22no—
582(C2×D11)⋊C4—22no—
583(C2×D11)⋊C4—22no—
584(C2×D11)⋊C4—22no—
585(C2×D11)⋊C4—22no—
586(C2×D11)⋊C4—22no—
587(C2×D11)⋊C4—22no—
588(C2×D11)⋊C4—22no—
589(C2×D11)⋊C4—22no—
590(C2×D11)⋊C4—22no—
591(C2×D11)⋊C4—22no—
592(C2×D11)⋊C4—22no—
593(C2×D11)⋊C4—22no—
594(C2×D11)⋊C4—22no—
595(C2×D11)⋊C4—41no—
596(C2×D11)⋊C4—41no—
597(C2×D11)⋊C4—41no—
598(C2×D11)⋊C4—41no—
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)⋊C4—41no—
606(C2×D11)⋊C4—41no—
607(C2×D11)⋊C4—41no—
608(C2×D11)⋊C4—41no—
609(C2×D11)⋊C4—41no—
610(C2×D11)⋊C4—41no—
611(C2×D11)⋊C4—41no—
612(C2×D11)⋊C4C2×D414yes—
613C4⋊Dic11—22no—
614C4⋊Dic11—22no—
615C4⋊Dic11—41no—
616C4⋊Dic11—41no—
617Dic11⋊C4—22no—
618Dic11⋊C4—22no—
619Dic11⋊C4—22no—
620Dic11⋊C4—22no—
621Dic11⋊C4—22no—
622Dic11⋊C4—22no—
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#2672D1111yescharacteristic, complemented
647#2671—111no—
648#2671—111no—
649#2669—111no—
650#2669—111no—
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×C11C22×D412yes—
684C23×C11C2511yescharacteristic
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—21no—
702C22×D11—21no—
703C22×D11—21no—
704C22×D11—21no—
705C22×D11—21no—
706C22×D11—21no—
707C22×D11—21no—
708C22×D11—21no—
709C22×D11—21no—
710C22×D11—21no—
711C22×D11—21no—
712C22×D11—21no—
713C22×D11—21no—
714C22×D11—21no—
715C22×D11—21no—
716C22×D11—21no—
717C22×D11—44no—
718C22×D11—44no—
719C22×D11—44no—
720C22×D11—44no—
721C22×D11—44no—
722C22×D11—44no—
723C22×D11—44no—
724C22×D11C22×D412yes—
725C22×D11H(5,𝔽2)12yes—
726C22×D11H(5,𝔽2)12yes—
727Q8×C11—44no—
728D4×C11—82no—
729D4×C11—82no—
730D4×C11—82no—
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—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—44no—
765C2×C4×C11—82no—
766C2×C4×C11C22×D412yes—
767C2×C4×C11C22×D412yes—
768C2×C4×C11H(5,𝔽2)12yes—
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—
779C22⋊D11—82no—
780C22⋊D11—82no—
781C22⋊D11—82no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—44no—
813C2×Dic11—44no—
814C2×Dic11C22×D412yes—
815C2×Dic11C22×D412yes—
816C2×Dic11C22×D412yes—
817D44—44no—
818D44—44no—
819D44—44no—
820D44—44no—
821D44—44no—
822D44—82no—
823D44—82no—
824D44—82no—
825D44—82no—
826C4×D11—28no—
827C4×D11—44no—
828C4×D11—44no—
829C4×D11—44no—
830C4×D11—44no—
831C4×D11—44no—
832C4×D11—82no—
833C4×D11—82no—
834C4×D11—82no—
835C22×#41—111no—
836C24×C4—111no—
837#540—228no—
838C2×#127—111no—
839C2×#127—111no—
840C2×#125—111no—
841C2×#124C2×D1111yescharacteristic, complemented
842#525—228no—
843C2×#123—111no—
844C2×#123—111no—
845C2×#123—111no—
846C2×#123—111no—
847C2×#123—111no—
848C2×#123—111no—
849C2×#123C2×D1111yescharacteristic
850C2×C22⋊Q8—111no—
851C2×C22⋊Q8C2×D1111yescharacteristic
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×#121—111no—
867C2×#121C2×D1111yescharacteristic
868C2×#120—111no—
869C2×#120—111no—
870C2×#120—111no—
871C2×#120—111no—
872C2×#120—111no—
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#399C2×D1111yescharacteristic, complemented
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#396C2×D1111yescharacteristic, complemented
898#395C2×D1111yescharacteristic, complemented
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#394C2×D1111yescharacteristic
910#394C2×D1111yescharacteristic
911#394C2×D1111yescharacteristic, complemented
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#392—111no—
925#392—111no—
926#392—111no—
927#392—111no—
928#391—111no—
929#390—111no—
930#390—111no—
931#389C2×D1111yescharacteristic, complemented
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#388—111no—
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#385C2×D1111yescharacteristic, complemented
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#380C2×D1111yescharacteristic, complemented
989#379—111no—
990C4×C22⋊C4—111no—
991C2×#95—111no—
992C22×C11—22no—
993C22×C11—22no—
994C22×C11—22no—
995C22×C11—41no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11—41no—
1000C22×C11—41no—
1001C22×C11—41no—
1002C22×C11—41no—
1003C22×C11—41no—
1004C22×C11—41no—
1005C22×C11—41no—
1006C22×C11—41no—
1007C22×C11—41no—
1008C22×C11—41no—
1009C22×C11—41no—
1010C22×C11—41no—
1011C22×C11—41no—
1012C22×C11—41no—
1013C22×C11C23×D411yescharacteristic
1014C22×C11C2×H(5,𝔽2)11yescharacteristic
1015C22×C11C2×H(5,𝔽2)11yescharacteristic
1016C22×C11C2×H(5,𝔽2)11yescharacteristic
1017C22×C11#58511yescharacteristic
1018C22×C11#58511yescharacteristic
1019C22×C11#58511yescharacteristic
1020C2×D11—22no—
1021C2×D11—22no—
1022C2×D11—22no—
1023C2×D11—22no—
1024C2×D11—22no—
1025C2×D11—22no—
1026C2×D11—22no—
1027C2×D11—22no—
1028C2×D11—22no—
1029C2×D11—416no—
1030C2×D11—41no—
1031C2×D11—41no—
1032C2×D11—41no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
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—22no—
1059C4×C11—41no—
1060C4×C11—41no—
1061C4×C11—41no—
1062C4×C11—41no—
1063C4×C11—41no—
1064C4×C11—41no—
1065C4×C11—41no—
1066C4×C11—41no—
1067C4×C11—41no—
1068Dic11—22no—
1069Dic11—22no—
1070Dic11—22no—
1071Dic11—41no—
1072Dic11—41no—
1073Dic11—41no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11—41no—
1077Dic11—41no—
1078Dic11—41no—
1079C25—111no—
1080C2×#41—224no—
1081C2×#41—442no—
1082C2×#41—442no—
1083C22×Q8C22×D1111yescharacteristic
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×D4—111no—
1098C22×D4—111no—
1099C22×D4—111no—
1100C22×D4—111no—
1101C22×D4—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—111no—
1105C22×D4—111no—
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—224no—
1121C23×C4—442no—
1122C23×C4—442no—
1123C23×C4C22×D1111yescharacteristic
1124C23×C4C22×D1111yescharacteristic
1125#127—224no—
1126#127—442no—
1127#125—224no—
1128#124—42no—
1129#123—42no—
1130#123—224no—
1131#123—224no—
1132#123—224no—
1133#123—224no—
1134#123—224no—
1135#123—224no—
1136C22⋊Q8—24no—
1137C22⋊Q8—224no—
1138#121—24no—
1139#121—224no—
1140#121—224no—
1141#121—224no—
1142#121—224no—
1143#121—224no—
1144#121—224no—
1145#121—224no—
1146#121—442no—
1147#121—442no—
1148#121—442no—
1149#121—442no—
1150#121—442no—
1151#121—442no—
1152#121—442no—
1153#121—442no—
1154#120—224no—
1155#120—224no—
1156#120—442no—
1157#120—442no—
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⋊C4C22×D1111yescharacteristic
1182C2×C4⋊C4C22×D1111yescharacteristic
1183C2×C4⋊C4C22×D1111yescharacteristic
1184C2×C4⋊C4C22×D1111yescharacteristic
1185C2×C4⋊C4C22×D1111yescharacteristic
1186C2×C4⋊C4C22×D1111yescharacteristic
1187C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4—111no—
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#95C22×D1111yescharacteristic
1276#95C22×D1111yescharacteristic
1277#95C22×D1111yescharacteristic
1278#95C22×D1111yescharacteristic
1279#95C22×D1111yescharacteristic
1280#95C22×D1111yescharacteristic
1281C2×C11—42no—
1282C2×C11—81no—
1283C2×C11—81no—
1284C2×C11#344911yescharacteristic
1285C2×C11#348411yescharacteristic
1286C2×C11#348811yescharacteristic
1287C2×C11#353311yescharacteristic
1288C2×C11#353411yescharacteristic
1289C2×C11#353911yescharacteristic
1290C2×C11#354211yescharacteristic
1291D11—42no—
1292D11—42no—
1293D11—42no—
1294D11—81no—
1295D11—81no—
1296C24—111no—
1297C24—111no—
1298C24—111no—
1299C24—111no—
1300C24—111no—
1301C24—222no—
1302C24—222no—
1303C24—222no—
1304C24—441no—
1305C24—441no—
1306C24—441no—
1307C24—441no—
1308C24C23×D1111yescharacteristic
1309C24C23×D1111yescharacteristic
1310C24C23×D1111yescharacteristic
1311#41—4416no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—41no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—114no—
1325C2×D4—222no—
1326C2×D4—222no—
1327C2×D4—222no—
1328C2×D4—222no—
1329C2×D4—222no—
1330C2×D4—222no—
1331C2×D4—222no—
1332C2×D4—222no—
1333C2×D4—222no—
1334C2×D4—222no—
1335C2×D4—222no—
1336C2×D4—222no—
1337C2×D4—222no—
1338C2×D4—222no—
1339C2×D4—222no—
1340C2×D4—222no—
1341C2×D4—222no—
1342C2×D4—222no—
1343C2×D4—222no—
1344C2×D4—222no—
1345C2×D4—222no—
1346C2×D4—222no—
1347C2×D4—222no—
1348C2×D4—441no—
1349C2×D4—441no—
1350C2×D4—441no—
1351C2×D4—441no—
1352C2×D4—441no—
1353C2×D4—441no—
1354C2×D4—441no—
1355C2×D4—441no—
1356C2×D4—441no—
1357C2×D4—441no—
1358C2×D4—441no—
1359C2×D4—441no—
1360C2×D4—441no—
1361C2×D4—441no—
1362C2×D4—441no—
1363C2×D4—441no—
1364C2×D4—441no—
1365C2×D4—441no—
1366C2×D4—441no—
1367C2×D4—441no—
1368C2×D4—441no—
1369C2×D4—441no—
1370C2×D4—441no—
1371C2×D4—441no—
1372C2×D4—441no—
1373C2×D4—441no—
1374C2×D4—441no—
1375C2×D4—441no—
1376C2×D4—441no—
1377C2×D4—441no—
1378C2×D4—441no—
1379C2×D4—441no—
1380C2×D4—441no—
1381C2×D4—441no—
1382C2×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—22no—
1392C22×C4—22no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—111no—
1397C22×C4—111no—
1398C22×C4—111no—
1399C22×C4—114no—
1400C22×C4—114no—
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—441no—
1421C22×C4—441no—
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—4416no—
1437C22×C4—441no—
1438C22×C4—441no—
1439C22×C4—441no—
1440C22×C4—441no—
1441C22×C4C23×D1111yescharacteristic
1442C22×C4C23×D1111yescharacteristic
1443C22×C4C23×D1111yescharacteristic
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—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—41no—
1459C4⋊C4—41no—
1460C4⋊C4—41no—
1461C4⋊C4—41no—
1462C4⋊C4—114no—
1463C4⋊C4—222no—
1464C4⋊C4—222no—
1465C4⋊C4—222no—
1466C4⋊C4—222no—
1467C4⋊C4—222no—
1468C4⋊C4—222no—
1469C4⋊C4—222no—
1470C4⋊C4—222no—
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—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—114no—
1490C22⋊C4—222no—
1491C22⋊C4—222no—
1492C22⋊C4—222no—
1493C22⋊C4—222no—
1494C22⋊C4—222no—
1495C22⋊C4—222no—
1496C22⋊C4—222no—
1497C22⋊C4—222no—
1498C22⋊C4—222no—
1499C22⋊C4—222no—
1500C22⋊C4—222no—
1501C22⋊C4—222no—
1502C22⋊C4—222no—
1503C22⋊C4—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—112no—
1558C23—112no—
1559C23—112no—
1560C23—221no—
1561C23—221no—
1562C23—221no—
1563C23—221no—
1564C23—221no—
1565C23—221no—
1566C23—221no—
1567C23—221no—
1568C23—221no—
1569C23—221no—
1570C23—221no—
1571C23—221no—
1572C23—221no—
1573C23—221no—
1574C23—221no—
1575C23—221no—
1576C23—221no—
1577C23—221no—
1578C23—221no—
1579C23—221no—
1580C23—221no—
1581C23—221no—
1582C23—221no—
1583C23—221no—
1584C23—221no—
1585C23—221no—
1586C23—221no—
1587C23—221no—
1588C23—221no—
1589C23—221no—
1590C23—221no—
1591C23—221no—
1592C23—444no—
1593C23—444no—
1594C23—444no—
1595C23—444no—
1596C23—444no—
1597C23—444no—
1598C23—444no—
1599C23C2×D4×D1112yes—
1600C23C24×D1111yescharacteristic
1601Q8—44no—
1602D4—82no—
1603D4—82no—
1604D4—82no—
1605D4—444no—
1606D4—444no—
1607D4—444no—
1608D4—444no—
1609D4—444no—
1610D4—444no—
1611D4—444no—
1612D4—444no—
1613D4—882no—
1614D4—882no—
1615D4—882no—
1616D4—882no—
1617D4—882no—
1618D4—882no—
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—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—44no—
1661C2×C4—82no—
1662C2×C4—112no—
1663C2×C4—112no—
1664C2×C4—112no—
1665C2×C4—228no—
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—882no—
1704C2×C4—882no—
1705C2×C4—882no—
1706C2×C4C2×D4×D1112yes—
1707C2×C4C2×D4×D1112yes—
1708C2×C4#6703712yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—222no—
1731C22—222no—
1732C22—222no—
1733C22—222no—
1734C22—222no—
1735C22—222no—
1736C22—222no—
1737C22—222no—
1738C22—222no—
1739C22—4416no—
1740C22—441no—
1741C22—441no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—441no—
1750C22—441no—
1751C22—441no—
1752C22—441no—
1753C22—441no—
1754C22—441no—
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
1768C22#1062345311yescharacteristic
1769C22D11×H(5,𝔽2)11yescharacteristic
1770C22D11×H(5,𝔽2)11yescharacteristic
1771C22#1062345711yescharacteristic
1772C22#1062345711yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—222no—
1786C4—222no—
1787C4—222no—
1788C4—441no—
1789C4—441no—
1790C4—441no—
1791C4—441no—
1792C4—441no—
1793C4—441no—
1794C4—441no—
1795C4—441no—
1796C2—42no—
1797C2—81no—
1798C2—81no—
1799C2—442no—
1800C2—442no—
1801C2—442no—
1802C2—881no—
1803C2—881no—
1804C2#1308194811yescharacteristic
1805C2#1308224411yescharacteristic
1806C2#1308227911yescharacteristic
1807C2#1308277911yescharacteristic
1808C2#1308280811yescharacteristic
1809C2#1308287111yescharacteristic
1810C2#1308292011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2672C2
hypercenter#2672D11
hypocenterC11#36713
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
1. C2×#10623146C2semidirect
2. C2×#10623158C2semidirect
3. #13076905C2semidirect
4. #13076897C2semidirect
5. #13075133C2semidirect
6. #13075125C2semidirect
7. #13075081C2semidirect
8. #13075056C2semidirect
9. #13075033C2semidirect
10. #13074939C2semidirect
11. #13074912C2semidirect
12. #13074909C2semidirect
13. #13074882C2semidirect
14. #13074875C2semidirect
15. #13074857C2semidirect
16. #13074856C2semidirect
17. #13074832C2semidirect
18. #13074828C2semidirect
19. #13074823C2semidirect
20. #13074502C2semidirect
21. #13074456C2semidirect
22. #13074289C2semidirect
23. #13074227C2semidirect
24. #13074183C2semidirect
25. #13074181C2semidirect
26. #13073579C2semidirect
27. #13073519C2semidirect
28. #13072238C2semidirect
29. #13072227C2semidirect
30. #13071246C2semidirect
31. C11×#2672C2semidirect
34. C2×C11×#124C22semidirect
43. C2×#66992C22semidirect
44. C2×#66991C22semidirect
50. C2×#66982C22semidirect
51. C2×C4×C22⋊D11C22semidirect
57. C2×#66948C22semidirect
60. C2×#66947C22semidirect
64. C2×#66942C22semidirect
69. C2×#66937C22semidirect
76. C2×#66930C22semidirect
77. C11×#399C22semidirect
78. C11×#396C22semidirect
79. C11×#395C22semidirect
82. C11×#394C22semidirect
83. C11×#389C22semidirect
86. C11×#385C22semidirect
87. C11×#380C22semidirect
88. #10622844C22semidirect
89. #10622843C22semidirect
98. #10622605C22semidirect
101. #10622604C22semidirect
104. #10622603C22semidirect
105. #10622603C22semidirect
106. #10622603C22semidirect
111. #10622602C22semidirect
112. #10622602C22semidirect
113. #10622602C22semidirect
114. #10622600C22semidirect
115. #10622597C22semidirect
116. #10622596C22semidirect
117. #10622595C22semidirect
118. #10622594C22semidirect
119. #10622593C22semidirect
120. #10622590C22semidirect
123. #10622574C22semidirect
130. #10622573C22semidirect
131. #10622573C22semidirect
132. #10622573C22semidirect
133. #10622573C22semidirect
135. #10622572C22semidirect
136. #10622572C22semidirect
139. #10622571C22semidirect
148. #10622569C22semidirect
149. #10622569C22semidirect
150. #10622569C22semidirect
151. #10622569C22semidirect
155. #10622563C22semidirect
156. #10622561C22semidirect
157. #10622558C22semidirect
158. #10622558C22semidirect
163. C4×(C2×D11)⋊C4C22semidirect
164. #10622546C22semidirect
165. #10622289C22semidirect
167. #10622288C22semidirect
169. #10622287C22semidirect
174. #10622281C22semidirect
181. #10622278C22semidirect
182. #10622278C22semidirect
183. D11×#95C22semidirect
184. #10622273C22semidirect
185. #10622271C22semidirect
186. #10622267C22semidirect
187. #10622265C22semidirect
188. #10622264C22semidirect
357. (C22⋊D11)⋊C4D4semidirect
646. #2672D11semidirect
841. C2×#124C2×D11semidirect
885. #399C2×D11semidirect
897. #396C2×D11semidirect
898. #395C2×D11semidirect
911. #394C2×D11semidirect
931. #389C2×D11semidirect
979. #385C2×D11semidirect
988. #380C2×D11semidirect
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×#106231582
#130769052
#130768972
#130751332
#130751252
#130750812
#130750562
#130750332
#130749392
#130749122
#130749092
#130748822
#130748752
#130748572
#130748562
#130748322
#130748282
#130748232
#130745022
#130744562
#130742892
#130742272
#130741832
#130741812
#130735792
#130735192
#130722382
#130722272
#130712462
C11×#26722
#3671311