Finite Group Databasebeta

← #14926767

Subgroups — #14926767

Order 2816.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623191C211yesmaximal, characteristic, complemented
2C2×#10623188C211yesmaximal, characteristic, complemented
3#13076985C211yesmaximal, characteristic, complemented
4#13076982C211yesmaximal, characteristic, complemented
5#13076917C211yesmaximal, characteristic, complemented
6#13074779C211yesmaximal, characteristic, complemented
7#13074766C211yesmaximal, characteristic, complemented
8#13074757C211yesmaximal, characteristic, complemented
9#13074744C211yesmaximal, characteristic, complemented
10#13073765C211yesmaximal, characteristic, complemented
11#13073744C211yesmaximal, characteristic, complemented
12#13073737C211yesmaximal, characteristic, complemented
13#13073712C211yesmaximal, characteristic, complemented
14#13073626C211yesmaximal, characteristic, complemented
15#13073575C211yesmaximal, characteristic, complemented
16#13073545C211yesmaximal, characteristic, complemented
17#13073504C211yesmaximal, characteristic, complemented
18#13073315C211yesmaximal, characteristic, complemented
19#13073293C211yesmaximal, characteristic, complemented
20#13072941C211yesmaximal, characteristic, complemented
21#13072746C211yesmaximal, characteristic, complemented
22#13072618C211yesmaximal, characteristic, complemented
23#13072587C211yesmaximal, characteristic, complemented
24#13072164C211yesmaximal, characteristic, complemented
25#13072149C211yesmaximal, characteristic, complemented
26#13071280C211yesmaximal, characteristic, complemented
27#13071275C211yesmaximal, characteristic, complemented
28#13071128C211yesmaximal, characteristic, complemented
29D11×#388C211yesmaximal, characteristic, complemented
30C42×C22⋊D11C211yesmaximal, characteristic, complemented
31C11×#2854C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic, complemented
34C2×C11×#121C2211yescharacteristic
35C22×C42×C11C2211yescharacteristic, complemented
36C2×#66991C2211yescharacteristic
37C2×#66991C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×#66990C2211yescharacteristic
40C2×#66988C2211yescharacteristic, complemented
41C2×#66983C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic
45C2×#66977C2211yescharacteristic, complemented
46#10623191—28no—
47#10623188—28no—
48C2×#66951C2211yescharacteristic
49C2×#66950C2211yescharacteristic
50C2×#66949C2211yescharacteristic
51C2×#66947C2211yescharacteristic
52C2×#66947C2211yescharacteristic
53C2×#66946C2211yescharacteristic
54C2×C4⋊C4×D11C2211yescharacteristic
55C2×#66943C2211yescharacteristic, complemented
56C2×#66942C2211yescharacteristic, complemented
57C2×#66938C2211yescharacteristic
58C2×#66938C2211yescharacteristic
59C2×#66937C2211yescharacteristic
60C2×#66937C2211yescharacteristic
61C2×#66936C2211yescharacteristic
62C2×#66936C2211yescharacteristic
63C2×#66935C2211yescharacteristic
64C2×(C22⋊D11)⋊C4C2211yescharacteristic
65C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
66C2×C22⋊C4×D11C2211yescharacteristic
67C2×C22⋊C4×D11C2211yescharacteristic
68C2×C22⋊C4×D11C2211yescharacteristic
69C2×#66932C2211yescharacteristic
70C2×#66932C2211yescharacteristic, complemented
71C2×#66932C2211yescharacteristic, complemented
72C2×#66931C2211yescharacteristic, complemented
73C2×#66928C2211yescharacteristic
74C2×C42×D11C2211yescharacteristic
75C11×#390C2211yescharacteristic
76C11×#390C2211yescharacteristic
77C11×#389C2211yescharacteristic, complemented
78C11×#389C2211yescharacteristic, complemented
79C11×#388C2211yescharacteristic
80C11×#388C2211yescharacteristic
81C11×#388C2211yescharacteristic, complemented
82C11×#388C2211yescharacteristic, complemented
83C11×#386C2211yescharacteristic
84C11×#386C2211yescharacteristic, complemented
85C11×#380C2211yescharacteristic, complemented
86#10622836C2211yescharacteristic
87#10622836C2211yescharacteristic
88#10622836C2211yescharacteristic, complemented
89#10622835C2211yescharacteristic
90#10622835C2211yescharacteristic
91#10622835C2211yescharacteristic
92#10622833C2211yescharacteristic
93#10622826C2211yescharacteristic
94#10622826C2211yescharacteristic
95#10622826C2211yescharacteristic, complemented
96#10622826C2211yescharacteristic, complemented
97C4×C22⋊Dic11C2211yescharacteristic, complemented
98C4×C22⋊Dic11C2211yescharacteristic, complemented
99C4×C22⋊Dic11C2211yescharacteristic, complemented
100#10622607C2211yescharacteristic
101#10622607C2211yescharacteristic, complemented
102#10622605C2211yescharacteristic
103#10622604C2211yescharacteristic
104#10622603C2211yescharacteristic
105#10622603C2211yescharacteristic
106#10622603C2211yescharacteristic, complemented
107#10622602C2211yescharacteristic
108#10622602C2211yescharacteristic
109#10622602C2211yescharacteristic, complemented
110#10622599C2211yescharacteristic, complemented
111#10622597C2211yescharacteristic, complemented
112#10622596C2211yescharacteristic, complemented
113#10622594C2211yescharacteristic, complemented
114#10622593C2211yescharacteristic, complemented
115#10622592C2211yescharacteristic, complemented
116#10622592C2211yescharacteristic, complemented
117#10622585C2211yescharacteristic, complemented
118#10622585C2211yescharacteristic, complemented
119#10622573C2211yescharacteristic
120#10622572C2211yescharacteristic
121#10622572C2211yescharacteristic
122#10622572C2211yescharacteristic, complemented
123#10622572C2211yescharacteristic, complemented
124#10622571C2211yescharacteristic
125#10622570C2211yescharacteristic
126#10622570C2211yescharacteristic
127#10622570C2211yescharacteristic
128#10622570C2211yescharacteristic
129#10622570C2211yescharacteristic
130#10622570C2211yescharacteristic, complemented
131#10622569C2211yescharacteristic
132#10622569C2211yescharacteristic
133#10622568C2211yescharacteristic
134#10622566C2211yescharacteristic, complemented
135#10622565C2211yescharacteristic, complemented
136#10622565C2211yescharacteristic, complemented
137#10622564C2211yescharacteristic
138#10622564C2211yescharacteristic
139#10622564C2211yescharacteristic, complemented
140#10622562C2211yescharacteristic
141#10622561C2211yescharacteristic
142#10622560C2211yescharacteristic
143#10622560C2211yescharacteristic, complemented
144#10622558C2211yescharacteristic
145#10622558C2211yescharacteristic
146#10622558C2211yescharacteristic
147#10622557C2211yescharacteristic
148#10622557C2211yescharacteristic
149#10622557C2211yescharacteristic, complemented
150C22⋊C4×Dic11C2211yescharacteristic, complemented
151#10622553C2211yescharacteristic
152#10622553C2211yescharacteristic
153#10622553C2211yescharacteristic, complemented
154#10622553C2211yescharacteristic, complemented
155#10622552C2211yescharacteristic
156C4×(C2×D11)⋊C4C2211yescharacteristic
157C4×(C2×D11)⋊C4C2211yescharacteristic
158C4×(C2×D11)⋊C4C2211yescharacteristic
159#10622549C2211yescharacteristic, complemented
160C4×Dic11⋊C4C2211yescharacteristic, complemented
161C4×Dic11⋊C4C2211yescharacteristic, complemented
162C4×Dic11⋊C4C2211yescharacteristic, complemented
163C42×Dic11C2211yescharacteristic, complemented
164#10622542C2211yescharacteristic, complemented
165#10622289C2211yescharacteristic
166#10622288C2211yescharacteristic
167#10622283C2211yescharacteristic
168#10622283C2211yescharacteristic
169#10622283C2211yescharacteristic, complemented
170#10622282C2211yescharacteristic
171#10622282C2211yescharacteristic
172#10622282C2211yescharacteristic, complemented
173#10622281C2211yescharacteristic, complemented
174#10622280C2211yescharacteristic
175#10622279C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic
177#10622278C2211yescharacteristic
178#10622277C2211yescharacteristic
179D11×#95C2211yescharacteristic
180D11×#95C2211yescharacteristic
181#10622273C2211yescharacteristic, complemented
182#10622270C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×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
203C23×Dic11C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C11×#123—24no—
216C11×#123—24no—
217C11×#121—42no—
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C42×C11—42no—
238C2×C42×C11C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241C2×C42×C11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257#66991—24no—
258#66991—24no—
259#66990—24no—
260#66990—24no—
261#66988—24no—
262#66983—24no—
263C4×C22⋊D11—24no—
264C4×C22⋊D11—24no—
265C4×C22⋊D11D418yescomplemented
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×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297#66977—24no—
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326#66951—24no—
327#66950—24no—
328#66949—24no—
329#66947—24no—
330#66947—24no—
331#66946—24no—
332C4⋊C4×D11—24no—
333#66943—24no—
334#66942—24no—
335#66938—24no—
336#66938—24no—
337#66937—24no—
338#66937—24no—
339#66936—24no—
340#66936—24no—
341#66935—24no—
342(C22⋊D11)⋊C4—24no—
343(C22⋊D11)⋊C4—42no—
344C22⋊C4×D11—24no—
345C22⋊C4×D11—24no—
346C22⋊C4×D11—42no—
347#66932—24no—
348#66932—24no—
349#66932—24no—
350#66931—24no—
351#66928—42no—
352C42×D11—42no—
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#35009—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C24×C11C2411yescharacteristic
389C23×D11—22no—
390C23×D11—22no—
391C23×D11—22no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11—41no—
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C23×D11C2411yescharacteristic
399C2×D4×C11—22no—
400C2×D4×C11—22no—
401C2×D4×C11—22no—
402C2×D4×C11—41no—
403C2×D4×C11—41no—
404C2×D4×C11—41no—
405C2×D4×C11—41no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—22no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11C2×D414yes—
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11C2×D414yes—
450C22×Dic11—22no—
451C22×Dic11—41no—
452C22×Dic11—41no—
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C2×D44—22no—
467C2×D44—22no—
468C2×D44—22no—
469C2×D44—22no—
470C2×D44—41no—
471C2×D44—41no—
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—41no—
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×D11C2×D414yes—
492C2×C4×D11#4114yes—
493C2×Dic22—22no—
494C2×Dic22—22no—
495C2×Dic22—41no—
496C2×Dic22—41no—
497C2×Dic22—41no—
498C2×Dic22—41no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—22no—
501C11×C4⋊C4—22no—
502C11×C4⋊C4—22no—
503C11×C4⋊C4—22no—
504C11×C4⋊C4—41no—
505C11×C4⋊C4—41no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—22no—
514C11×C22⋊C4—22no—
515C11×C22⋊C4—22no—
516C11×C22⋊C4—41no—
517C11×C22⋊C4—41no—
518C42×C11—22no—
519C42×C11—22no—
520C42×C11—41no—
521C42×C11—41no—
522C22⋊Dic11—22no—
523C22⋊Dic11—22no—
524C22⋊Dic11—22no—
525C22⋊Dic11—22no—
526C22⋊Dic11—22no—
527C22⋊Dic11—22no—
528C22⋊Dic11—22no—
529C22⋊Dic11—22no—
530C22⋊Dic11—22no—
531C22⋊Dic11—22no—
532C22⋊Dic11—41no—
533C22⋊Dic11—41no—
534C22⋊Dic11—41no—
535C22⋊Dic11—41no—
536C22⋊Dic11C2×D414yes—
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—22no—
546(C2×D11)⋊C4—22no—
547(C2×D11)⋊C4—22no—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—22no—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—22no—
553(C2×D11)⋊C4—22no—
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)⋊C4C2×D414yes—
561(C2×D11)⋊C4#4114yes—
562C4⋊Dic11—22no—
563C4⋊Dic11—22no—
564C4⋊Dic11—22no—
565C4⋊Dic11—22no—
566C4⋊Dic11—22no—
567C4⋊Dic11—22no—
568Dic11⋊C4—22no—
569Dic11⋊C4—22no—
570Dic11⋊C4—22no—
571Dic11⋊C4—22no—
572Dic11⋊C4—22no—
573Dic11⋊C4—22no—
574Dic11⋊C4—22no—
575Dic11⋊C4—22no—
576Dic11⋊C4—22no—
577Dic11⋊C4—22no—
578Dic11⋊C4—22no—
579Dic11⋊C4—22no—
580Dic11⋊C4—41no—
581Dic11⋊C4—41no—
582Dic11⋊C4—41no—
583Dic11⋊C4—41no—
584Dic11⋊C4C2×D414yes—
585C4×Dic11—22no—
586C4×Dic11—22no—
587C4×Dic11—22no—
588C4×Dic11—22no—
589C4×Dic11—22no—
590C4×Dic11—41no—
591C4×Dic11—41no—
592C4×Dic11—41no—
593C4×Dic11—41no—
594C4×Dic11—41no—
595C4×Dic11C2×D414yes—
596C2×#539—111no—
597C2×#538—111no—
598#2861—111no—
599#2860—111no—
600#2854D1111yescharacteristic, complemented
601#2850—111no—
602#2664—111no—
603#2663—111no—
604#2662—111no—
605#2661—111no—
606#2560—111no—
607#2559—111no—
608#2558—111no—
609#2557—111no—
610#2549—111no—
611#2543—111no—
612#2539—111no—
613#2534—111no—
614#2521—111no—
615#2519—111no—
616#2488—111no—
617#2472—111no—
618#2464—111no—
619#2461—111no—
620#2425—111no—
621#2424—111no—
622#2322—111no—
623#2321—111no—
624C4×#121—111no—
625C2×#388—111no—
626C42×D4—111no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11C22×D412yes—
648C23×C11C2511yescharacteristic
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—44no—
668C22×D11—44no—
669C22×D11—44no—
670C22×D11—82no—
671C22×D11—82no—
672C22×D11—82no—
673C22×D11—82no—
674C22×D11C22×D412yes—
675C22×D11C2×#4112yes—
676C22×D11C2×#4112yes—
677D4×C11—82no—
678D4×C11—82no—
679D4×C11—82no—
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—44no—
712C2×C4×C11—44no—
713C2×C4×C11—44no—
714C2×C4×C11C22×D412yes—
715C2×C4×C11C22×D412yes—
716C2×C4×C11C2×#4112yes—
717C2×C4×C11C2×#4112yes—
718C2×C4×C11H(5,𝔽2)12yes—
719C22⋊D11—28no—
720C22⋊D11—44no—
721C22⋊D11—44no—
722C22⋊D11—82no—
723C22⋊D11—82no—
724C22⋊D11—82no—
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—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—82no—
761C2×Dic11C22×D412yes—
762C2×Dic11C22×D412yes—
763C2×Dic11C22×D412yes—
764C2×Dic11C2×#4112yes—
765C2×Dic11C2×#4112yes—
766D44—44no—
767D44—82no—
768C4×D11—44no—
769C4×D11—44no—
770C4×D11—44no—
771C4×D11—44no—
772C4×D11—82no—
773C4×D11—82no—
774C4×D11—82no—
775Dic22—82no—
776Dic22—82no—
777#539—228no—
778#538—228no—
779C2×#126—111no—
780C2×#126—111no—
781C2×#126—111no—
782C2×#126—111no—
783C2×#125—111no—
784C2×#125—111no—
785C2×#124—111no—
786C2×#124—111no—
787C2×#124—111no—
788C2×#123—111no—
789C2×#123—111no—
790C2×#123—111no—
791C2×#123—111no—
792C2×#123—111no—
793C2×#123C2×D1111yescharacteristic
794C2×#123C2×D1111yescharacteristic, complemented
795C2×C22⋊Q8—111no—
796C2×C22⋊Q8—111no—
797C2×C22⋊Q8—111no—
798C2×C22⋊Q8—111no—
799C2×#121—111no—
800C2×#121—111no—
801C2×#121—111no—
802C2×#121—111no—
803C2×#121—111no—
804C2×#121C2×D1111yescharacteristic
805C2×#120—111no—
806C2×#120—111no—
807C2×#120—111no—
808C2×C4×D4—111no—
809C2×C4×D4—111no—
810C2×C4×D4—111no—
811C2×C4×D4—111no—
812C2×C4×D4—111no—
813C2×C4×D4—111no—
814C22×C4⋊C4—111no—
815C22×C22⋊C4—111no—
816C22×C22⋊C4—111no—
817C22×C22⋊C4—111no—
818C22×C42—111no—
819C22×C42C2×D1111yescharacteristic, complemented
820#400—111no—
821#400—111no—
822#399—111no—
823#399—111no—
824#398—111no—
825#398—111no—
826#398—111no—
827#398—111no—
828#397—111no—
829#397—111no—
830#397—111no—
831#397—111no—
832#396—111no—
833#396—111no—
834#396—111no—
835#396—111no—
836#395—111no—
837#395—111no—
838#394—111no—
839#394—111no—
840#394—111no—
841#394—111no—
842#394—111no—
843#394—111no—
844#394—111no—
845#394—111no—
846#393—111no—
847#393—111no—
848#392—111no—
849#392—111no—
850#392—111no—
851#392—111no—
852#391—111no—
853#391—111no—
854#391—111no—
855#390—111no—
856#390—111no—
857#390—111no—
858#390—111no—
859#390—111no—
860#390—111no—
861#390—111no—
862#390C2×D1111yescharacteristic
863#390C2×D1111yescharacteristic
864#389—111no—
865#389—111no—
866#389—111no—
867#389—111no—
868#389C2×D1111yescharacteristic, complemented
869#389C2×D1111yescharacteristic, complemented
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
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#388—111no—
891#388—111no—
892#388C2×D1111yescharacteristic
893#388C2×D1111yescharacteristic
894#388C2×D1111yescharacteristic, complemented
895#388C2×D1111yescharacteristic, complemented
896#387—111no—
897#387—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#386—111no—
907#386—111no—
908#386C2×D1111yescharacteristic
909#386C2×D1111yescharacteristic, complemented
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#382—111no—
915#381—111no—
916#380—111no—
917#380C2×D1111yescharacteristic, complemented
918#379—111no—
919C4×C4⋊C4—111no—
920C4×C4⋊C4—111no—
921C4×C4⋊C4—111no—
922C4×C4⋊C4—111no—
923C4×C22⋊C4—111no—
924C4×C22⋊C4—111no—
925C4×C22⋊C4—111no—
926C4×C22⋊C4—111no—
927C4×C22⋊C4—111no—
928C4×C22⋊C4—111no—
929C4×C22⋊C4—111no—
930C4×C22⋊C4—111no—
931C2×#95—111no—
932C2×#95—111no—
933C43—111no—
934C22×C11—22no—
935C22×C11—22no—
936C22×C11—22no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—41no—
954C22×C11—41no—
955C22×C11C23×D411yescharacteristic
956C22×C11C22×#4111yescharacteristic
957C22×C11C22×#4111yescharacteristic
958C22×C11C2×H(5,𝔽2)11yescharacteristic
959C22×C11#58511yescharacteristic
960C22×C11#58511yescharacteristic
961C22×C11#58511yescharacteristic
962C2×D11—22no—
963C2×D11—22no—
964C2×D11—22no—
965C2×D11—22no—
966C2×D11—22no—
967C2×D11—22no—
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—88no—
983C2×D11#53214yes—
984C4×C11—22no—
985C4×C11—22no—
986C4×C11—22no—
987C4×C11—22no—
988C4×C11—22no—
989C4×C11—41no—
990C4×C11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996Dic11—22no—
997Dic11—22no—
998Dic11—22no—
999Dic11—22no—
1000Dic11—22no—
1001Dic11—41no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009C25—111no—
1010C22×Q8—111no—
1011C22×Q8—111no—
1012C22×D4—111no—
1013C22×D4—111no—
1014C22×D4—111no—
1015C22×D4—111no—
1016C22×D4—111no—
1017C22×D4—111no—
1018C22×D4—111no—
1019C22×D4—111no—
1020C22×D4—111no—
1021C22×D4C22×D1111yescharacteristic
1022C22×D4C22×D1111yescharacteristic
1023C22×D4C22×D1111yescharacteristic
1024C23×C4—111no—
1025C23×C4—111no—
1026C23×C4—111no—
1027C23×C4—111no—
1028C23×C4—111no—
1029C23×C4—111no—
1030C23×C4—111no—
1031C23×C4—111no—
1032C23×C4C22×D1111yescharacteristic
1033C23×C4C22×D1111yescharacteristic
1034C23×C4C22×D1111yescharacteristic
1035#126—224no—
1036#126—224no—
1037#126—224no—
1038#126—224no—
1039#125—224no—
1040#125—224no—
1041#124—224no—
1042#124—224no—
1043#124—442no—
1044#123—24no—
1045#123—24no—
1046#123—224no—
1047#123—224no—
1048#123—224no—
1049#123—224no—
1050#123—224no—
1051C22⋊Q8—224no—
1052C22⋊Q8—224no—
1053C22⋊Q8—224no—
1054C22⋊Q8—224no—
1055#121—42no—
1056#121—224no—
1057#121—224no—
1058#121—224no—
1059#121—224no—
1060#121—224no—
1061#120—224no—
1062#120—224no—
1063#120—224no—
1064C4×D4—118no—
1065C4×D4—224no—
1066C4×D4—224no—
1067C4×D4—224no—
1068C4×D4—224no—
1069C4×D4—442no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
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—224no—
1094C2×C4⋊C4C22×D1111yescharacteristic
1095C2×C4⋊C4C22×D1111yescharacteristic
1096C2×C4⋊C4C22×D1111yescharacteristic
1097C2×C4⋊C4C22×D1111yescharacteristic
1098C2×C4⋊C4C22×D1111yescharacteristic
1099C2×C4⋊C4C22×D1111yescharacteristic
1100C2×C4⋊C4C22×D1111yescharacteristic
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
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—224no—
1142C2×C22⋊C4—224no—
1143C2×C22⋊C4—442no—
1144C2×C22⋊C4C22×D1111yescharacteristic
1145C2×C22⋊C4C22×D1111yescharacteristic
1146C2×C22⋊C4C22×D1111yescharacteristic
1147C2×C22⋊C4C22×D1111yescharacteristic
1148C2×C22⋊C4C22×D1111yescharacteristic
1149C2×C22⋊C4C22×D1111yescharacteristic
1150C2×C22⋊C4C22×D1111yescharacteristic
1151C2×C22⋊C4C22×D1111yescharacteristic
1152C2×C22⋊C4C22×D1111yescharacteristic
1153C2×C22⋊C4C22×D1111yescharacteristic
1154C2×C22⋊C4C22×D1111yescharacteristic
1155C2×C22⋊C4C22×D1111yescharacteristic
1156C2×C42—42no—
1157C2×C42—111no—
1158C2×C42—111no—
1159C2×C42—111no—
1160C2×C42—111no—
1161C2×C42—111no—
1162C2×C42—111no—
1163C2×C42—111no—
1164C2×C42—111no—
1165C2×C42—111no—
1166C2×C42—111no—
1167C2×C42—111no—
1168C2×C42—442no—
1169C2×C42C22×D1111yescharacteristic
1170C2×C42C22×D1111yescharacteristic
1171C2×C42C22×D1111yescharacteristic
1172C2×C42C22×D1111yescharacteristic
1173#95—111no—
1174#95—111no—
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#95—111no—
1198#95—111no—
1199#95C22×D1111yescharacteristic
1200#95C22×D1111yescharacteristic
1201#95C22×D1111yescharacteristic
1202#95C22×D1111yescharacteristic
1203#95C22×D1111yescharacteristic
1204#95C22×D1111yescharacteristic
1205C2×C11—42no—
1206C2×C11—81no—
1207C2×C11—81no—
1208C2×C11C2×#53211yescharacteristic
1209C2×C11#345511yescharacteristic
1210C2×C11#345911yescharacteristic
1211C2×C11#349611yescharacteristic
1212C2×C11#350011yescharacteristic
1213C2×C11#351311yescharacteristic
1214C2×C11#352111yescharacteristic
1215D11—24no—
1216D11—81no—
1217D11—81no—
1218C24—111no—
1219C24—111no—
1220C24—111no—
1221C24—222no—
1222C24—222no—
1223C24—222no—
1224C24—441no—
1225C24—441no—
1226C24—441no—
1227C24—441no—
1228C24C23×D1111yescharacteristic
1229C24C23×D1111yescharacteristic
1230C24C23×D1111yescharacteristic
1231C2×Q8—222no—
1232C2×Q8—222no—
1233C2×Q8—441no—
1234C2×Q8—441no—
1235C2×Q8—441no—
1236C2×Q8—441no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—114no—
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—222no—
1257C2×D4—222no—
1258C2×D4—222no—
1259C2×D4—222no—
1260C2×D4—222no—
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—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—111no—
1282C22×C4—111no—
1283C22×C4—111no—
1284C22×C4—111no—
1285C22×C4—111no—
1286C22×C4—114no—
1287C22×C4—114no—
1288C22×C4—111no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—111no—
1293C22×C4—111no—
1294C22×C4—111no—
1295C22×C4—111no—
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—222no—
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×C4D4×D1114yes—
1319C22×C4C23×D1111yescharacteristic
1320C22×C4C23×D1111yescharacteristic
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
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—114no—
1339C4⋊C4—222no—
1340C4⋊C4—222no—
1341C4⋊C4—222no—
1342C4⋊C4—222no—
1343C4⋊C4—222no—
1344C4⋊C4—222no—
1345C4⋊C4—222no—
1346C4⋊C4—222no—
1347C4⋊C4—222no—
1348C4⋊C4—222no—
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—441no—
1358C4⋊C4—441no—
1359C4⋊C4—441no—
1360C4⋊C4—441no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—114no—
1374C22⋊C4—114no—
1375C22⋊C4—114no—
1376C22⋊C4—222no—
1377C22⋊C4—222no—
1378C22⋊C4—222no—
1379C22⋊C4—222no—
1380C22⋊C4—222no—
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—222no—
1400C22⋊C4—222no—
1401C22⋊C4—222no—
1402C22⋊C4—222no—
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—
1413C42—22no—
1414C42—22no—
1415C42—41no—
1416C42—41no—
1417C42—114no—
1418C42—222no—
1419C42—222no—
1420C42—222no—
1421C42—222no—
1422C42—222no—
1423C42—441no—
1424C42—441no—
1425C42—441no—
1426C42—441no—
1427C42—441no—
1428C11#3500911yescharacteristic, complemented, Sylow
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—112no—
1450C23—112no—
1451C23—112no—
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—444no—
1471C23—444no—
1472C23—444no—
1473C23—882no—
1474C23—882no—
1475C23—882no—
1476C23—882no—
1477C23C2×D4×D1112yes—
1478C23C24×D1111yescharacteristic
1479Q8—882no—
1480Q8—882no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—228no—
1485D4—444no—
1486D4—444no—
1487D4—444no—
1488D4—882no—
1489D4—882no—
1490D4—882no—
1491D4—882no—
1492D4—882no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
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—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—112no—
1528C2×C4—112no—
1529C2×C4—112no—
1530C2×C4—112no—
1531C2×C4—112no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
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—444no—
1567C2×C4—444no—
1568C2×C4—444no—
1569C2×C4—444no—
1570C2×C4—882no—
1571C2×C4—882no—
1572C2×C4—882no—
1573C2×C4—882no—
1574C2×C4C2×D4×D1112yes—
1575C2×C4C2×D4×D1112yes—
1576C2×C4#6703712yes—
1577C2×C4#41×D1112yes—
1578C2×C4#41×D1112yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—114no—
1601C22—222no—
1602C22—222no—
1603C22—222no—
1604C22—222no—
1605C22—222no—
1606C22—222no—
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—888no—
1622C22C22×D4×D1111yescharacteristic
1623C22C2×#6703711yescharacteristic
1624C22C2×#41×D1111yescharacteristic
1625C22C2×#41×D1111yescharacteristic
1626C22#1062345311yescharacteristic
1627C22#1062345311yescharacteristic
1628C22#1062345311yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—222no—
1642C4—222no—
1643C4—222no—
1644C4—222no—
1645C4—222no—
1646C4—441no—
1647C4—441no—
1648C4—441no—
1649C4—441no—
1650C4—441no—
1651C4—441no—
1652C4—441no—
1653C4—441no—
1654C2—42no—
1655C2—81no—
1656C2—81no—
1657C2—224no—
1658C2—881no—
1659C2—881no—
1660C2D11×#53211yescharacteristic
1661C2#1308199911yescharacteristic
1662C2#1308202311yescharacteristic
1663C2#1308237311yescharacteristic
1664C2#1308240311yescharacteristic
1665C2#1308254811yescharacteristic
1666C2#1308267811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2854C2
hypercenter#2854D11
hypocenterC11#35009
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2854

Complements

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

NH ≅ G/Ntype
1. C2×#10623191C2semidirect
2. C2×#10623188C2semidirect
3. #13076985C2semidirect
4. #13076982C2semidirect
5. #13076917C2semidirect
6. #13074779C2semidirect
7. #13074766C2semidirect
8. #13074757C2semidirect
9. #13074744C2semidirect
10. #13073765C2semidirect
11. #13073744C2semidirect
12. #13073737C2semidirect
13. #13073712C2semidirect
14. #13073626C2semidirect
15. #13073575C2semidirect
16. #13073545C2semidirect
17. #13073504C2semidirect
18. #13073315C2semidirect
19. #13073293C2semidirect
20. #13072941C2semidirect
21. #13072746C2semidirect
22. #13072618C2semidirect
23. #13072587C2semidirect
24. #13072164C2semidirect
25. #13072149C2semidirect
26. #13071280C2semidirect
27. #13071275C2semidirect
28. #13071128C2semidirect
29. D11×#388C2semidirect
30. C42×C22⋊D11C2semidirect
31. C11×#2854C2semidirect
33. C2×C11×#123C22semidirect
35. C22×C42×C11C22semidirect
40. C2×#66988C22semidirect
45. C2×#66977C22semidirect
55. C2×#66943C22semidirect
56. C2×#66942C22semidirect
65. C2×(C22⋊D11)⋊C4C22semidirect
70. C2×#66932C22semidirect
71. C2×#66932C22semidirect
72. C2×#66931C22semidirect
77. C11×#389C22semidirect
78. C11×#389C22semidirect
81. C11×#388C22semidirect
82. C11×#388C22semidirect
84. C11×#386C22semidirect
85. C11×#380C22semidirect
88. #10622836C22semidirect
95. #10622826C22semidirect
96. #10622826C22semidirect
97. C4×C22⋊Dic11C22semidirect
98. C4×C22⋊Dic11C22semidirect
99. C4×C22⋊Dic11C22semidirect
101. #10622607C22semidirect
106. #10622603C22semidirect
109. #10622602C22semidirect
110. #10622599C22semidirect
111. #10622597C22semidirect
112. #10622596C22semidirect
113. #10622594C22semidirect
114. #10622593C22semidirect
115. #10622592C22semidirect
116. #10622592C22semidirect
117. #10622585C22semidirect
118. #10622585C22semidirect
122. #10622572C22semidirect
123. #10622572C22semidirect
130. #10622570C22semidirect
134. #10622566C22semidirect
135. #10622565C22semidirect
136. #10622565C22semidirect
139. #10622564C22semidirect
143. #10622560C22semidirect
149. #10622557C22semidirect
150. C22⋊C4×Dic11C22semidirect
153. #10622553C22semidirect
154. #10622553C22semidirect
159. #10622549C22semidirect
160. C4×Dic11⋊C4C22semidirect
161. C4×Dic11⋊C4C22semidirect
162. C4×Dic11⋊C4C22semidirect
163. C42×Dic11C22semidirect
164. #10622542C22semidirect
169. #10622283C22semidirect
172. #10622282C22semidirect
173. #10622281C22semidirect
175. #10622279C22semidirect
181. #10622273C22semidirect
182. #10622270C22semidirect
183. #10622265C22semidirect
184. #10622262C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
265. C4×C22⋊D11D4semidirect
600. #2854D11semidirect
794. C2×#123C2×D11semidirect
819. C22×C42C2×D11semidirect
868. #389C2×D11semidirect
869. #389C2×D11semidirect
894. #388C2×D11semidirect
895. #388C2×D11semidirect
909. #386C2×D11semidirect
917. #380C2×D11semidirect
1428. C11#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#106231912
C2×#106231882
#130769852
#130769822
#130769172
#130747792
#130747662
#130747572
#130747442
#130737652
#130737442
#130737372
#130737122
#130736262
#130735752
#130735452
#130735042
#130733152
#130732932
#130729412
#130727462
#130726182
#130725872
#130721642
#130721492
#130712802
#130712752
#130711282
D11×#3882
C42×C22⋊D112
C11×#28542
#3500911