Finite Group Databasebeta

← #14960856

Subgroups — #14960856

Order 2816.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623078C211yesmaximal, characteristic, complemented
2#13076905C211yesmaximal, characteristic, complemented
3#13076895C211yesmaximal, characteristic, complemented
4#13075283C211yesmaximal, characteristic, complemented
5#13075238C211yesmaximal, characteristic, complemented
6#13075208C211yesmaximal, characteristic, complemented
7#13075199C211yesmaximal, characteristic, complemented
8#13075033C211yesmaximal, characteristic, complemented
9#13074981C211yesmaximal, characteristic, complemented
10#13074968C211yesmaximal, characteristic, complemented
11#13074962C211yesmaximal, characteristic, complemented
12#13074950C211yesmaximal, characteristic, complemented
13#13074944C211yesmaximal, characteristic, complemented
14#13074941C211yesmaximal, characteristic, complemented
15#13074937C211yesmaximal, characteristic, complemented
16#13074863C211yesmaximal, characteristic, complemented
17#13074837C211yesmaximal, characteristic, complemented
18#13074830C211yesmaximal, characteristic, complemented
19#13074828C211yesmaximal, characteristic, complemented
20#13074501C211yesmaximal, characteristic, complemented
21#13074455C211yesmaximal, characteristic, complemented
22#13074305C211yesmaximal, characteristic, complemented
23#13074245C211yesmaximal, characteristic, complemented
24#13074215C211yesmaximal, characteristic, complemented
25#13074198C211yesmaximal, characteristic, complemented
26#13073588C211yesmaximal, characteristic, complemented
27#13073506C211yesmaximal, characteristic, complemented
28#13071961C211yesmaximal, characteristic, complemented
29#13071935C211yesmaximal, characteristic, complemented
30#13071259C211yesmaximal, characteristic, complemented
31C2×C11×#538C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic, complemented
34C11×#538—28no—
35C2×C11×#126C2211yescharacteristic, complemented
36C2×C11×#126C2211yescharacteristic, complemented
37C2×C11×#124C2211yescharacteristic
38C2×C11×#124C2211yescharacteristic, complemented
39C2×C11×#123C2211yescharacteristic
40C2×C11×#123C2211yescharacteristic, complemented
41C2×C11×C22⋊Q8C2211yescharacteristic, complemented
42C2×C11×#121C2211yescharacteristic
43C2×C11×#121C2211yescharacteristic
44C2×C11×#121C2211yescharacteristic
45C2×C11×#120C2211yescharacteristic
46C2×C11×#120C2211yescharacteristic, complemented
47C2×C4×D4×C11C2211yescharacteristic
48C2×C4×D4×C11C2211yescharacteristic, complemented
49C22×C11×C22⋊C4C2211yescharacteristic, complemented
50C2×#67006C2211yescharacteristic
51C2×#67006C2211yescharacteristic
52C2×#67006C2211yescharacteristic, complemented
53C2×#67000C2211yescharacteristic, complemented
54C2×#66993C2211yescharacteristic
55C2×#66992C2211yescharacteristic
56C2×#66991C2211yescharacteristic
57C2×#66991C2211yescharacteristic
58C2×#66990C2211yescharacteristic
59C2×#66990C2211yescharacteristic
60C2×#66990C2211yescharacteristic
61C2×#66990C2211yescharacteristic, complemented
62C2×#66988C2211yescharacteristic
63C2×#66983C2211yescharacteristic, complemented
64C2×#66982C2211yescharacteristic
65C2×C4×C22⋊D11C2211yescharacteristic
66C2×C4×C22⋊D11C2211yescharacteristic, complemented
67C2×#66977C2211yescharacteristic, complemented
68#10623078—28no—
69C2×#66949C2211yescharacteristic, complemented
70C2×#66947C2211yescharacteristic, complemented
71C2×#66937C2211yescharacteristic
72C2×#66936C2211yescharacteristic
73C2×#66935C2211yescharacteristic, complemented
74C2×#66931C2211yescharacteristic, complemented
75C2×C4×D44C2211yescharacteristic, complemented
76C2×#66925C2211yescharacteristic, complemented
77#10622860C2211yescharacteristic, complemented
78#10622844C2211yescharacteristic, complemented
79#10622843C2211yescharacteristic, complemented
80#10622842C2211yescharacteristic, complemented
81#10622836C2211yescharacteristic
82#10622836C2211yescharacteristic
83#10622836C2211yescharacteristic
84#10622836C2211yescharacteristic
85#10622836C2211yescharacteristic
86#10622836C2211yescharacteristic, complemented
87#10622836C2211yescharacteristic, complemented
88#10622836C2211yescharacteristic, complemented
89#10622835C2211yescharacteristic
90#10622835C2211yescharacteristic
91#10622835C2211yescharacteristic, complemented
92#10622835C2211yescharacteristic, complemented
93#10622835C2211yescharacteristic, complemented
94#10622835C2211yescharacteristic, complemented
95#10622834C2211yescharacteristic
96#10622834C2211yescharacteristic
97#10622834C2211yescharacteristic, complemented
98#10622833C2211yescharacteristic
99#10622833C2211yescharacteristic, complemented
100#10622826C2211yescharacteristic
101#10622826C2211yescharacteristic, complemented
102#10622826C2211yescharacteristic, complemented
103#10622825C2211yescharacteristic, complemented
104#10622825C2211yescharacteristic, complemented
105#10622824C2211yescharacteristic, complemented
106#10622824C2211yescharacteristic, complemented
107#10622824C2211yescharacteristic, complemented
108#10622823C2211yescharacteristic, complemented
109#10622607C2211yescharacteristic, complemented
110#10622607C2211yescharacteristic, complemented
111#10622605C2211yescharacteristic, complemented
112#10622604C2211yescharacteristic, complemented
113#10622603C2211yescharacteristic, complemented
114#10622603C2211yescharacteristic, complemented
115#10622603C2211yescharacteristic, complemented
116#10622602C2211yescharacteristic, complemented
117#10622602C2211yescharacteristic, complemented
118#10622602C2211yescharacteristic, complemented
119#10622602C2211yescharacteristic, complemented
120#10622602C2211yescharacteristic, complemented
121#10622600C2211yescharacteristic, complemented
122#10622600C2211yescharacteristic, complemented
123#10622598C2211yescharacteristic, complemented
124#10622598C2211yescharacteristic, complemented
125#10622597C2211yescharacteristic, complemented
126#10622597C2211yescharacteristic, complemented
127#10622596C2211yescharacteristic, complemented
128#10622595C2211yescharacteristic, complemented
129#10622591C2211yescharacteristic, complemented
130#10622585C2211yescharacteristic, complemented
131#10622574C2211yescharacteristic
132#10622574C2211yescharacteristic
133#10622574C2211yescharacteristic
134#10622574C2211yescharacteristic
135#10622574C2211yescharacteristic, complemented
136#10622574C2211yescharacteristic, complemented
137#10622574C2211yescharacteristic, complemented
138#10622574C2211yescharacteristic, complemented
139#10622573C2211yescharacteristic
140#10622573C2211yescharacteristic
141#10622573C2211yescharacteristic
142#10622572C2211yescharacteristic
143#10622572C2211yescharacteristic
144#10622572C2211yescharacteristic, complemented
145#10622572C2211yescharacteristic, complemented
146#10622570C2211yescharacteristic
147#10622570C2211yescharacteristic
148#10622570C2211yescharacteristic
149#10622570C2211yescharacteristic, complemented
150#10622570C2211yescharacteristic, complemented
151#10622569C2211yescharacteristic
152#10622569C2211yescharacteristic
153#10622569C2211yescharacteristic
154#10622569C2211yescharacteristic
155#10622569C2211yescharacteristic
156#10622569C2211yescharacteristic
157#10622569C2211yescharacteristic, complemented
158#10622569C2211yescharacteristic, complemented
159#10622569C2211yescharacteristic, complemented
160#10622569C2211yescharacteristic, complemented
161#10622569C2211yescharacteristic, complemented
162#10622568C2211yescharacteristic, complemented
163#10622566C2211yescharacteristic, complemented
164#10622565C2211yescharacteristic, complemented
165#10622565C2211yescharacteristic, complemented
166#10622564C2211yescharacteristic, complemented
167#10622564C2211yescharacteristic, complemented
168#10622564C2211yescharacteristic, complemented
169#10622564C2211yescharacteristic, complemented
170#10622561C2211yescharacteristic, complemented
171#10622561C2211yescharacteristic, complemented
172#10622561C2211yescharacteristic, complemented
173#10622561C2211yescharacteristic, complemented
174#10622560C2211yescharacteristic, complemented
175#10622560C2211yescharacteristic, complemented
176#10622558C2211yescharacteristic, complemented
177#10622558C2211yescharacteristic, complemented
178#10622558C2211yescharacteristic, complemented
179#10622557C2211yescharacteristic, complemented
180#10622557C2211yescharacteristic, complemented
181#10622557C2211yescharacteristic, complemented
182#10622556C2211yescharacteristic, complemented
183#10622553C2211yescharacteristic, complemented
184#10622552C2211yescharacteristic, complemented
185C4×C4⋊Dic11C2211yescharacteristic, complemented
186#10622546C2211yescharacteristic, complemented
187#10622545C2211yescharacteristic, complemented
188#10622542C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C22×C22⋊D11C2311yescharacteristic
215C22×C22⋊D11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C2×#4339—24no—
218C2×#4339—42no—
219C2×#4339—42no—
220C22×D44C2311yescharacteristic
221C22×D44C2311yescharacteristic
222C22×C4×D11—24no—
223C22×C4×D11—42no—
224C22×C4×D11—42no—
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×Dic22C2311yescharacteristic
231C11×#126—24no—
232C11×#126—24no—
233C11×#124—24no—
234C11×#124—24no—
235C11×#123—24no—
236C11×#123—24no—
237C11×C22⋊Q8—24no—
238C11×#121—24no—
239C11×#121—24no—
240C11×#121—24no—
241C11×#120—24no—
242C11×#120—24no—
243C4×D4×C11—24no—
244C4×D4×C11D418yescomplemented
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C4⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4—24no—
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×C11×C22⋊C4C2311yescharacteristic
262C2×C11×C22⋊C4C2311yescharacteristic
263C2×C11×C22⋊C4C2311yescharacteristic
264C2×C11×C22⋊C4C2311yescharacteristic
265C2×C11×C22⋊C4C2311yescharacteristic
266C2×C42×C11C2311yescharacteristic
267C2×C42×C11C2311yescharacteristic
268#67006—42no—
269#67006—42no—
270#67006—42no—
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281C2×C22⋊Dic11C2311yescharacteristic
282C2×C22⋊Dic11C2311yescharacteristic
283C2×C22⋊Dic11C2311yescharacteristic
284C2×C22⋊Dic11C2311yescharacteristic
285C2×C22⋊Dic11C2311yescharacteristic
286C2×C22⋊Dic11C2311yescharacteristic
287C2×C22⋊Dic11C2311yescharacteristic
288C2×C22⋊Dic11C2311yescharacteristic
289C2×C22⋊Dic11C2311yescharacteristic
290C2×C22⋊Dic11C2311yescharacteristic
291C2×C22⋊Dic11C2311yescharacteristic
292C2×C22⋊Dic11C2311yescharacteristic
293C2×C22⋊Dic11C2311yescharacteristic
294C2×C22⋊Dic11C2311yescharacteristic
295C2×C22⋊Dic11C2311yescharacteristic
296#67000—42no—
297#66993—42no—
298#66992—24no—
299#66991—42no—
300#66991—42no—
301#66990—24no—
302#66990—42no—
303#66990—42no—
304#66990—42no—
305#66988—42no—
306#66983—42no—
307#66982—42no—
308C4×C22⋊D11—24no—
309C4×C22⋊D11—24no—
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×(C2×D11)⋊C4C2311yescharacteristic
317C2×(C2×D11)⋊C4C2311yescharacteristic
318C2×(C2×D11)⋊C4C2311yescharacteristic
319C2×(C2×D11)⋊C4C2311yescharacteristic
320C2×(C2×D11)⋊C4C2311yescharacteristic
321C2×(C2×D11)⋊C4C2311yescharacteristic
322C2×(C2×D11)⋊C4C2311yescharacteristic
323C2×(C2×D11)⋊C4C2311yescharacteristic
324C2×(C2×D11)⋊C4C2311yescharacteristic
325C2×(C2×D11)⋊C4C2311yescharacteristic
326C2×(C2×D11)⋊C4C2311yescharacteristic
327C2×(C2×D11)⋊C4C2311yescharacteristic
328C2×(C2×D11)⋊C4C2311yescharacteristic
329C2×(C2×D11)⋊C4C2311yescharacteristic
330C2×(C2×D11)⋊C4C2311yescharacteristic
331C2×C4⋊Dic11C2311yescharacteristic
332C2×C4⋊Dic11C2311yescharacteristic
333C2×C4⋊Dic11C2311yescharacteristic
334C2×C4⋊Dic11C2311yescharacteristic
335C2×C4⋊Dic11C2311yescharacteristic
336C2×C4⋊Dic11C2311yescharacteristic
337C2×C4⋊Dic11C2311yescharacteristic
338#66977—42no—
339C2×Dic11⋊C4C2311yescharacteristic
340C2×Dic11⋊C4C2311yescharacteristic
341C2×Dic11⋊C4C2311yescharacteristic
342C2×Dic11⋊C4C2311yescharacteristic
343C2×Dic11⋊C4C2311yescharacteristic
344C2×Dic11⋊C4C2311yescharacteristic
345C2×Dic11⋊C4C2311yescharacteristic
346C2×Dic11⋊C4C2311yescharacteristic
347C2×Dic11⋊C4C2311yescharacteristic
348C2×Dic11⋊C4C2311yescharacteristic
349C2×Dic11⋊C4C2311yescharacteristic
350C2×C4×Dic11C2311yescharacteristic
351C2×C4×Dic11C2311yescharacteristic
352C2×C4×Dic11C2311yescharacteristic
353C2×C4×Dic11C2311yescharacteristic
354C2×C4×Dic11C2311yescharacteristic
355#66949—24no—
356#66947—24no—
357#66937—24no—
358#66936—24no—
359#66935—24no—
360#66931—24no—
361C4×D44—24no—
362#66925—24no—
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#36724—111nomaximal, Sylow
392C24×C11—22no—
393C24×C11—41no—
394C24×C11—41no—
395C24×C11—41no—
396C24×C11—41no—
397C24×C11—41no—
398C24×C11—41no—
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C24×C11C2411yescharacteristic
402C24×C11C2411yescharacteristic
403C24×C11C2411yescharacteristic
404C23×D11—22no—
405C23×D11—22no—
406C23×D11—22no—
407C23×D11—41no—
408C23×D11—41no—
409C23×D11—41no—
410C23×D11—41no—
411C23×D11C2411yescharacteristic
412C23×D11C2411yescharacteristic
413C23×D11C2411yescharacteristic
414C2×Q8×C11—22no—
415C2×Q8×C11—41no—
416C2×Q8×C11—41no—
417C2×D4×C11—22no—
418C2×D4×C11—22no—
419C2×D4×C11—22no—
420C2×D4×C11—22no—
421C2×D4×C11—22no—
422C2×D4×C11—22no—
423C2×D4×C11—41no—
424C2×D4×C11—41no—
425C2×D4×C11—41no—
426C2×D4×C11—41no—
427C2×D4×C11—41no—
428C2×D4×C11—41no—
429C2×D4×C11—41no—
430C2×D4×C11—41no—
431C2×D4×C11—41no—
432C2×D4×C11—41no—
433C2×D4×C11—41no—
434C2×D4×C11—41no—
435C2×D4×C11—41no—
436C2×D4×C11—41no—
437C2×D4×C11C2×D414yes—
438C22×C4×C11—22no—
439C22×C4×C11—22no—
440C22×C4×C11—41no—
441C22×C4×C11—41no—
442C22×C4×C11—41no—
443C22×C4×C11—41no—
444C22×C4×C11—41no—
445C22×C4×C11—41no—
446C22×C4×C11—41no—
447C22×C4×C11—41no—
448C22×C4×C11C2×D414yes—
449C22×C4×C11C2×D414yes—
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C22×C4×C11C2411yescharacteristic
453C22×C4×C11C2411yescharacteristic
454C22×C4×C11C2411yescharacteristic
455C22×C4×C11C2411yescharacteristic
456C22×C4×C11C2411yescharacteristic
457C22×C4×C11C2411yescharacteristic
458C22×C4×C11C2411yescharacteristic
459C22×C4×C11C2411yescharacteristic
460C2×C22⋊D11—22no—
461C2×C22⋊D11—22no—
462C2×C22⋊D11—22no—
463C2×C22⋊D11—22no—
464C2×C22⋊D11—22no—
465C2×C22⋊D11—22no—
466C2×C22⋊D11—22no—
467C2×C22⋊D11—22no—
468C2×C22⋊D11—22no—
469C2×C22⋊D11—22no—
470C2×C22⋊D11—22no—
471C2×C22⋊D11—22no—
472C2×C22⋊D11—22no—
473C2×C22⋊D11—41no—
474C2×C22⋊D11—41no—
475C2×C22⋊D11—41no—
476C2×C22⋊D11—41no—
477C2×C22⋊D11—41no—
478C2×C22⋊D11—41no—
479C2×C22⋊D11—41no—
480C2×C22⋊D11—41no—
481C2×C22⋊D11—41no—
482C2×C22⋊D11—41no—
483C2×C22⋊D11—41no—
484C2×C22⋊D11—41no—
485C2×C22⋊D11—41no—
486C2×C22⋊D11—41no—
487C2×C22⋊D11—41no—
488C2×C22⋊D11—41no—
489C2×C22⋊D11—41no—
490C2×C22⋊D11—41no—
491C2×C22⋊D11—41no—
492C2×C22⋊D11—41no—
493C2×C22⋊D11—41no—
494C2×C22⋊D11—41no—
495C2×C22⋊D11—41no—
496C2×C22⋊D11—41no—
497C2×C22⋊D11—41no—
498C2×C22⋊D11—41no—
499C22×Dic11—22no—
500C22×Dic11—22no—
501C22×Dic11—41no—
502C22×Dic11C2411yescharacteristic
503C22×Dic11C2411yescharacteristic
504C22×Dic11C2411yescharacteristic
505C22×Dic11C2411yescharacteristic
506C22×Dic11C2411yescharacteristic
507C22×Dic11C2411yescharacteristic
508C22×Dic11C2411yescharacteristic
509C22×Dic11C2411yescharacteristic
510C22×Dic11C2411yescharacteristic
511C22×Dic11C2411yescharacteristic
512C22×Dic11C2411yescharacteristic
513C22×Dic11C2411yescharacteristic
514C22×Dic11C2411yescharacteristic
515#4339—416no—
516C2×D44—22no—
517C2×D44—22no—
518C2×D44—22no—
519C2×D44—22no—
520C2×D44—41no—
521C2×D44—41no—
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—416no—
538C2×Dic22—22no—
539C2×Dic22—22no—
540C2×Dic22—41no—
541C11×C4⋊C4—22no—
542C11×C4⋊C4—22no—
543C11×C4⋊C4—22no—
544C11×C4⋊C4—22no—
545C11×C4⋊C4—22no—
546C11×C4⋊C4C2×D414yes—
547C11×C22⋊C4—22no—
548C11×C22⋊C4—22no—
549C11×C22⋊C4—22no—
550C11×C22⋊C4—22no—
551C11×C22⋊C4—22no—
552C11×C22⋊C4—22no—
553C11×C22⋊C4—22no—
554C11×C22⋊C4—22no—
555C11×C22⋊C4—22no—
556C11×C22⋊C4—22no—
557C11×C22⋊C4—22no—
558C11×C22⋊C4—22no—
559C11×C22⋊C4C2×D414yes—
560C11×C22⋊C4C2×D414yes—
561C42×C11—22no—
562C42×C11C2×D414yes—
563C22⋊Dic11—22no—
564C22⋊Dic11—22no—
565C22⋊Dic11—22no—
566C22⋊Dic11—22no—
567C22⋊Dic11—22no—
568C22⋊Dic11—41no—
569C22⋊Dic11—41no—
570C22⋊Dic11—41no—
571C22⋊Dic11—41no—
572C22⋊Dic11—41no—
573C22⋊Dic11—41no—
574C22⋊Dic11—41no—
575C22⋊Dic11—41no—
576C22⋊Dic11—41no—
577C22⋊Dic11—41no—
578C22⋊Dic11—41no—
579C22⋊Dic11—41no—
580C22⋊Dic11—41no—
581C22⋊Dic11—41no—
582C22⋊Dic11—41no—
583C22⋊Dic11—41no—
584C22⋊Dic11—41no—
585C22⋊Dic11—41no—
586C22⋊Dic11—41no—
587C22⋊Dic11—41no—
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—22no—
596(C2×D11)⋊C4—22no—
597(C2×D11)⋊C4—22no—
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—
609C4⋊Dic11—22no—
610C4⋊Dic11—41no—
611C4⋊Dic11—41no—
612C4⋊Dic11—41no—
613C4⋊Dic11—41no—
614C4⋊Dic11—41no—
615C4⋊Dic11—41no—
616Dic11⋊C4—22no—
617Dic11⋊C4—22no—
618Dic11⋊C4—22no—
619Dic11⋊C4—22no—
620Dic11⋊C4—22no—
621Dic11⋊C4—41no—
622Dic11⋊C4—41no—
623Dic11⋊C4—41no—
624Dic11⋊C4—41no—
625Dic11⋊C4—41no—
626Dic11⋊C4—41no—
627C4×Dic11—22no—
628C4×Dic11—41no—
629C4×Dic11—41no—
630C4×Dic11—41no—
631C4×Dic11—41no—
632C2×#538D1111yescharacteristic, complemented
633C2×#525—111no—
634#2849—111no—
635#2847—111no—
636#2705—111no—
637#2702—111no—
638#2700—111no—
639#2699—111no—
640#2687—111no—
641#2682—111no—
642#2681—111no—
643#2681—111no—
644#2679—111no—
645#2678—111no—
646#2678—111no—
647#2678—111no—
648#2672—111no—
649#2670—111no—
650#2669—111no—
651#2669—111no—
652#2635—111no—
653#2630—111no—
654#2610—111no—
655#2603—111no—
656#2601—111no—
657#2600—111no—
658#2544—111no—
659#2534—111no—
660#2407—111no—
661#2404—111no—
662#2319—111no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11—21no—
675C23×C11—21no—
676C23×C11—21no—
677C23×C11—21no—
678C23×C11—21no—
679C23×C11—21no—
680C23×C11—21no—
681C23×C11—21no—
682C23×C11—21no—
683C23×C11—21no—
684C23×C11—21no—
685C23×C11—21no—
686C23×C11—21no—
687C23×C11—21no—
688C23×C11—21no—
689C23×C11—21no—
690C23×C11—21no—
691C23×C11—21no—
692C23×C11—21no—
693C23×C11—21no—
694C23×C11—21no—
695C23×C11—21no—
696C23×C11—44no—
697C23×C11—82no—
698C23×C11—82no—
699C23×C11—82no—
700C23×C11—82no—
701C23×C11—82no—
702C23×C11—82no—
703C23×C11C22×D412yes—
704C23×C11C22×D412yes—
705C23×C11C2511yescharacteristic
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—21no—
718C22×D11—21no—
719C22×D11—21no—
720C22×D11—21no—
721C22×D11—21no—
722C22×D11—21no—
723C22×D11—21no—
724C22×D11—21no—
725C22×D11—44no—
726C22×D11—44no—
727C22×D11—44no—
728C22×D11—44no—
729C22×D11—44no—
730C22×D11—44no—
731C22×D11—44no—
732C22×D11H(5,𝔽2)12yes—
733C22×D11H(5,𝔽2)12yes—
734Q8×C11—82no—
735D4×C11—44no—
736D4×C11—44no—
737D4×C11—82no—
738D4×C11—82no—
739D4×C11—82no—
740D4×C11—82no—
741D4×C11—82no—
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—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—44no—
768C2×C4×C11—44no—
769C2×C4×C11—82no—
770C2×C4×C11—82no—
771C2×C4×C11C22×D412yes—
772C2×C4×C11C22×D412yes—
773C2×C4×C11C22×D412yes—
774C2×C4×C11C22×D412yes—
775C2×C4×C11C22×D412yes—
776C22⋊D11—44no—
777C22⋊D11—44no—
778C22⋊D11—44no—
779C22⋊D11—44no—
780C22⋊D11—82no—
781C22⋊D11—82no—
782C22⋊D11—82no—
783C22⋊D11—82no—
784C22⋊D11—82no—
785C22⋊D11—82no—
786C22⋊D11—82no—
787C22⋊D11—82no—
788C22⋊D11—82no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—21no—
818C2×Dic11—21no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—21no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—21no—
825C2×Dic11—21no—
826C2×Dic11—21no—
827C2×Dic11—44no—
828C2×Dic11H(5,𝔽2)12yes—
829D44—44no—
830D44—44no—
831C4×D11—28no—
832C4×D11—44no—
833C4×D11—44no—
834C4×D11—44no—
835C4×D11—44no—
836Dic22—44no—
837C22×#41—111no—
838C24×C4—111no—
839#538—28no—
840C2×#127—111no—
841C2×#126C2×D1111yescharacteristic, complemented
842C2×#126C2×D1111yescharacteristic, complemented
843C2×#124—111no—
844C2×#124C2×D1111yescharacteristic
845C2×#124C2×D1111yescharacteristic, complemented
846#525—228no—
847C2×#123—111no—
848C2×#123—111no—
849C2×#123—111no—
850C2×#123—111no—
851C2×#123C2×D1111yescharacteristic
852C2×#123C2×D1111yescharacteristic, complemented
853C2×C22⋊Q8—111no—
854C2×C22⋊Q8—111no—
855C2×C22⋊Q8—111no—
856C2×C22⋊Q8C2×D1111yescharacteristic, complemented
857C2×#121—111no—
858C2×#121—111no—
859C2×#121—111no—
860C2×#121—111no—
861C2×#121—111no—
862C2×#121C2×D1111yescharacteristic
863C2×#121C2×D1111yescharacteristic
864C2×#121C2×D1111yescharacteristic
865C2×#120—111no—
866C2×#120—111no—
867C2×#120—111no—
868C2×#120—111no—
869C2×#120—111no—
870C2×#120—111no—
871C2×#120—111no—
872C2×#120—111no—
873C2×#120C2×D1111yescharacteristic
874C2×#120C2×D1111yescharacteristic, complemented
875C2×C4×D4—111no—
876C2×C4×D4—111no—
877C2×C4×D4—111no—
878C2×C4×D4C2×D1111yescharacteristic
879C2×C4×D4C2×D1111yescharacteristic, complemented
880C2×#117—111no—
881C22×C22⋊C4C2×D1111yescharacteristic, complemented
882#400—111no—
883#399—111no—
884#398—111no—
885#398—111no—
886#398—111no—
887#397—111no—
888#397—111no—
889#397—111no—
890#396—111no—
891#396—111no—
892#396—111no—
893#396—111no—
894#396—111no—
895#396—111no—
896#395—111no—
897#394—111no—
898#394—111no—
899#394—111no—
900#394—111no—
901#394—111no—
902#394—111no—
903#394—111no—
904#394—111no—
905#394—111no—
906#394—111no—
907#394—111no—
908#394—111no—
909#394—111no—
910#394—111no—
911#394—111no—
912#394—111no—
913#394—111no—
914#394—111no—
915#394—111no—
916#393—111no—
917#393—111no—
918#393—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#392—111no—
929#392—111no—
930#391—111no—
931#391—111no—
932#390—111no—
933#390—111no—
934#390—111no—
935#390—111no—
936#390—111no—
937#390—111no—
938#390—111no—
939#390—111no—
940#390—111no—
941#389—111no—
942#389—111no—
943#389—111no—
944#388—111no—
945#388—111no—
946#388—111no—
947#388—111no—
948#388—111no—
949#388—111no—
950#388—111no—
951#388—111no—
952#388—111no—
953#388—111no—
954#388—111no—
955#388—111no—
956#388—111no—
957#388—111no—
958#387—111no—
959#387—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#386—111no—
970#386—111no—
971#386—111no—
972#386—111no—
973#386—111no—
974#386—111no—
975#386—111no—
976#385—111no—
977#385—111no—
978#385—111no—
979#385—111no—
980#385—111no—
981#385—111no—
982#381—111no—
983#381—111no—
984#381—111no—
985#381—111no—
986#380—111no—
987#380—111no—
988#380—111no—
989#380—111no—
990#379—111no—
991#379—111no—
992C4×C4⋊C4—111no—
993#376—111no—
994C22×C11—22no—
995C22×C11—22no—
996C22×C11—22no—
997C22×C11—22no—
998C22×C11—22no—
999C22×C11—22no—
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×C11—41no—
1014C22×C11—41no—
1015C22×C11—41no—
1016C22×C11—41no—
1017C22×C11—41no—
1018C22×C11—41no—
1019C22×C11—41no—
1020C22×C11—41no—
1021C22×C11—41no—
1022C22×C11—41no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11—41no—
1028C22×C11—41no—
1029C22×C11—88no—
1030C22×C11C23×D411yescharacteristic
1031C22×C11C2×H(5,𝔽2)11yescharacteristic
1032C22×C11C2×H(5,𝔽2)11yescharacteristic
1033C22×C11C2×H(5,𝔽2)11yescharacteristic
1034C22×C11#58511yescharacteristic
1035C22×C11#58511yescharacteristic
1036C22×C11#58511yescharacteristic
1037C2×D11—22no—
1038C2×D11—22no—
1039C2×D11—22no—
1040C2×D11—22no—
1041C2×D11—22no—
1042C2×D11—22no—
1043C2×D11—416no—
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—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C4×C11—22no—
1060C4×C11—22no—
1061C4×C11—22no—
1062C4×C11—22no—
1063C4×C11—22no—
1064C4×C11—41no—
1065C4×C11—41no—
1066C4×C11—41no—
1067C4×C11—41no—
1068C4×C11—41no—
1069Dic11—22no—
1070Dic11—41no—
1071Dic11—41no—
1072Dic11—41no—
1073Dic11—41no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11—41no—
1077Dic11—41no—
1078Dic11—41no—
1079Dic11—41no—
1080Dic11—41no—
1081Dic11—41no—
1082C25—111no—
1083C25C22×D1111yescharacteristic
1084C2×#41—224no—
1085C2×#41—442no—
1086C2×#41—442no—
1087C22×Q8—111no—
1088C22×Q8C22×D1111yescharacteristic
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×D4C22×D1111yescharacteristic
1105C22×D4C22×D1111yescharacteristic
1106C22×D4C22×D1111yescharacteristic
1107C22×D4C22×D1111yescharacteristic
1108C22×D4C22×D1111yescharacteristic
1109C22×D4C22×D1111yescharacteristic
1110C22×D4C22×D1111yescharacteristic
1111C23×C4—111no—
1112C23×C4—111no—
1113C23×C4—111no—
1114C23×C4—111no—
1115C23×C4—111no—
1116C23×C4—111no—
1117C23×C4—224no—
1118C23×C4—442no—
1119C23×C4—442no—
1120C23×C4C22×D1111yescharacteristic
1121C23×C4C22×D1111yescharacteristic
1122C23×C4C22×D1111yescharacteristic
1123C23×C4C22×D1111yescharacteristic
1124#127—442no—
1125#126—24no—
1126#126—24no—
1127#124—24no—
1128#124—24no—
1129#124—442no—
1130#123—24no—
1131#123—24no—
1132#123—224no—
1133#123—224no—
1134#123—442no—
1135#123—442no—
1136C22⋊Q8—24no—
1137C22⋊Q8—224no—
1138C22⋊Q8—224no—
1139C22⋊Q8—442no—
1140#121—24no—
1141#121—24no—
1142#121—24no—
1143#121—224no—
1144#121—224no—
1145#121—442no—
1146#121—442no—
1147#121—442no—
1148#120—24no—
1149#120—24no—
1150#120—224no—
1151#120—224no—
1152#120—442no—
1153#120—442no—
1154#120—442no—
1155#120—442no—
1156#120—442no—
1157#120—442no—
1158C4×D4—24no—
1159C4×D4—224no—
1160C4×D4—224no—
1161C4×D4—224no—
1162C4×D4C22⋊D1118yescomplemented
1163#117—224no—
1164C2×C4⋊C4—111no—
1165C2×C4⋊C4—111no—
1166C2×C4⋊C4—111no—
1167C2×C4⋊C4—111no—
1168C2×C4⋊C4—111no—
1169C2×C4⋊C4—111no—
1170C2×C4⋊C4—111no—
1171C2×C4⋊C4—111no—
1172C2×C4⋊C4—111no—
1173C2×C4⋊C4—111no—
1174C2×C4⋊C4—111no—
1175C2×C4⋊C4—111no—
1176C2×C4⋊C4—111no—
1177C2×C4⋊C4—111no—
1178C2×C4⋊C4—111no—
1179C2×C4⋊C4—111no—
1180C2×C4⋊C4—111no—
1181C2×C4⋊C4—111no—
1182C2×C4⋊C4C22×D1111yescharacteristic
1183C2×C4⋊C4C22×D1111yescharacteristic
1184C2×C4⋊C4C22×D1111yescharacteristic
1185C2×C4⋊C4C22×D1111yescharacteristic
1186C2×C4⋊C4C22×D1111yescharacteristic
1187C2×C4⋊C4C22×D1111yescharacteristic
1188C2×C22⋊C4—24no—
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—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⋊C4—111no—
1232C2×C22⋊C4—111no—
1233C2×C22⋊C4—111no—
1234C2×C22⋊C4—111no—
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×C22⋊C4C22×D1111yescharacteristic
1245C2×C22⋊C4C22×D1111yescharacteristic
1246C2×C22⋊C4C22×D1111yescharacteristic
1247C2×C22⋊C4C22×D1111yescharacteristic
1248C2×C22⋊C4C22×D1111yescharacteristic
1249C2×C42—111no—
1250C2×C42—111no—
1251C2×C42—111no—
1252C2×C42—111no—
1253C2×C42—111no—
1254C2×C42C22×D1111yescharacteristic
1255C2×C42C22×D1111yescharacteristic
1256#95—111no—
1257#95—111no—
1258#95—111no—
1259#95—111no—
1260#95—111no—
1261#95—111no—
1262#95—111no—
1263#95—111no—
1264#95—111no—
1265#95—111no—
1266#95—111no—
1267#95—111no—
1268#95—111no—
1269#95—111no—
1270#95—111no—
1271#95—111no—
1272#95—111no—
1273#95—111no—
1274#95—111no—
1275#95—111no—
1276#95—111no—
1277#95—111no—
1278#95—111no—
1279#95—111no—
1280#95—111no—
1281#95—111no—
1282#95—111no—
1283#95—111no—
1284C2×C11—42no—
1285C2×C11—42no—
1286C2×C11—81no—
1287C2×C11—81no—
1288C2×C11—81no—
1289C2×C11#344911yescharacteristic
1290C2×C11#348411yescharacteristic
1291C2×C11#348811yescharacteristic
1292C2×C11#353311yescharacteristic
1293C2×C11#353411yescharacteristic
1294C2×C11#354011yescharacteristic
1295C2×C11#354211yescharacteristic
1296D11—42no—
1297D11—42no—
1298D11—81no—
1299C24—22no—
1300C24—41no—
1301C24—41no—
1302C24—41no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—111no—
1307C24—111no—
1308C24—111no—
1309C24—222no—
1310C24—222no—
1311C24—222no—
1312C24—441no—
1313C24—441no—
1314C24—441no—
1315C24—441no—
1316C24C23×D1111yescharacteristic
1317C24C23×D1111yescharacteristic
1318C24C23×D1111yescharacteristic
1319C24C23×D1111yescharacteristic
1320C24C23×D1111yescharacteristic
1321#41—4416no—
1322C2×Q8—22no—
1323C2×Q8—41no—
1324C2×Q8—41no—
1325C2×Q8—222no—
1326C2×Q8—222no—
1327C2×Q8—441no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—222no—
1349C2×D4—222no—
1350C2×D4—222no—
1351C2×D4—222no—
1352C2×D4—222no—
1353C2×D4—222no—
1354C2×D4—222no—
1355C2×D4—222no—
1356C2×D4—222no—
1357C2×D4—222no—
1358C2×D4—222no—
1359C2×D4—222no—
1360C2×D4—222no—
1361C2×D4—222no—
1362C2×D4—222no—
1363C2×D4—222no—
1364C2×D4—222no—
1365C2×D4—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—
1390C2×D4—441no—
1391C2×D4—441no—
1392C2×D4—441no—
1393C2×D4C2×C22⋊D1114yes—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—111no—
1405C22×C4—111no—
1406C22×C4—111no—
1407C22×C4—111no—
1408C22×C4—111no—
1409C22×C4—111no—
1410C22×C4—111no—
1411C22×C4—111no—
1412C22×C4—111no—
1413C22×C4—111no—
1414C22×C4—111no—
1415C22×C4—111no—
1416C22×C4—111no—
1417C22×C4—222no—
1418C22×C4—222no—
1419C22×C4—222no—
1420C22×C4—222no—
1421C22×C4—222no—
1422C22×C4—222no—
1423C22×C4—222no—
1424C22×C4—222no—
1425C22×C4—222no—
1426C22×C4—222no—
1427C22×C4—222no—
1428C22×C4—441no—
1429C22×C4—441no—
1430C22×C4—441no—
1431C22×C4—441no—
1432C22×C4—441no—
1433C22×C4—441no—
1434C22×C4—4416no—
1435C22×C4—441no—
1436C22×C4C2×C22⋊D1114yes—
1437C22×C4C2×C22⋊D1114yes—
1438C22×C4C23×D1111yescharacteristic
1439C22×C4C23×D1111yescharacteristic
1440C22×C4C23×D1111yescharacteristic
1441C22×C4C23×D1111yescharacteristic
1442C22×C4C23×D1111yescharacteristic
1443C22×C4C23×D1111yescharacteristic
1444C22×C4C23×D1111yescharacteristic
1445C22×C4C23×D1111yescharacteristic
1446C22×C4C23×D1111yescharacteristic
1447C22×C4C23×D1111yescharacteristic
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—222no—
1454C4⋊C4—222no—
1455C4⋊C4—222no—
1456C4⋊C4—222no—
1457C4⋊C4—222no—
1458C4⋊C4—222no—
1459C4⋊C4—441no—
1460C4⋊C4—441no—
1461C4⋊C4—441no—
1462C4⋊C4—441no—
1463C4⋊C4—441no—
1464C4⋊C4—441no—
1465C4⋊C4—441no—
1466C4⋊C4—441no—
1467C4⋊C4—441no—
1468C4⋊C4—441no—
1469C4⋊C4—441no—
1470C4⋊C4—441no—
1471C4⋊C4C2×C22⋊D1114yes—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—222no—
1485C22⋊C4—222no—
1486C22⋊C4—222no—
1487C22⋊C4—222no—
1488C22⋊C4—222no—
1489C22⋊C4—222no—
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—441no—
1500C22⋊C4—441no—
1501C22⋊C4—441no—
1502C22⋊C4—441no—
1503C22⋊C4—441no—
1504C22⋊C4—441no—
1505C22⋊C4—441no—
1506C22⋊C4—441no—
1507C22⋊C4—441no—
1508C22⋊C4—441no—
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⋊C4C2×C22⋊D1114yes—
1531C22⋊C4C2×C22⋊D1114yes—
1532C42—22no—
1533C42—222no—
1534C42—441no—
1535C42—441no—
1536C42—441no—
1537C42—441no—
1538C42C2×C22⋊D1114yes—
1539C11#3672411yescharacteristic, complemented, Sylow
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—44no—
1574C23—82no—
1575C23—82no—
1576C23—82no—
1577C23—82no—
1578C23—82no—
1579C23—82no—
1580C23—112no—
1581C23—112no—
1582C23—221no—
1583C23—221no—
1584C23—221no—
1585C23—221no—
1586C23—221no—
1587C23—221no—
1588C23—221no—
1589C23—221no—
1590C23—221no—
1591C23—221no—
1592C23—221no—
1593C23—221no—
1594C23—221no—
1595C23—221no—
1596C23—221no—
1597C23—221no—
1598C23—221no—
1599C23—221no—
1600C23—221no—
1601C23—444no—
1602C23—444no—
1603C23—444no—
1604C23—444no—
1605C23—444no—
1606C23—444no—
1607C23—444no—
1608C23C22×C22⋊D1112yes—
1609C23C22×C22⋊D1112yes—
1610C23C24×D1111yescharacteristic
1611Q8—82no—
1612Q8—444no—
1613D4—44no—
1614D4—44no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—82no—
1620D4—444no—
1621D4—444no—
1622D4—444no—
1623D4—444no—
1624D4—444no—
1625D4—444no—
1626D4—882no—
1627D4—882no—
1628D4—882no—
1629D4—882no—
1630D4—882no—
1631D4—882no—
1632D4—882no—
1633D4—882no—
1634D4—882no—
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—44no—
1662C2×C4—82no—
1663C2×C4—82no—
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—221no—
1697C2×C4—221no—
1698C2×C4—221no—
1699C2×C4—221no—
1700C2×C4—221no—
1701C2×C4—221no—
1702C2×C4—221no—
1703C2×C4—221no—
1704C2×C4—444no—
1705C2×C4—444no—
1706C2×C4—444no—
1707C2×C4—444no—
1708C2×C4—444no—
1709C2×C4C22×C22⋊D1112yes—
1710C2×C4C22×C22⋊D1112yes—
1711C2×C4C22×C22⋊D1112yes—
1712C2×C4C22×C22⋊D1112yes—
1713C2×C4C22×C22⋊D1112yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—88no—
1750C22—222no—
1751C22—222no—
1752C22—222no—
1753C22—222no—
1754C22—222no—
1755C22—222no—
1756C22—4416no—
1757C22—441no—
1758C22—441no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—441no—
1766C22—441no—
1767C22—441no—
1768C22—441no—
1769C22—441no—
1770C22—441no—
1771C22—441no—
1772C22#1062345311yescharacteristic
1773C22#1062345311yescharacteristic
1774C22D11×H(5,𝔽2)11yescharacteristic
1775C22D11×H(5,𝔽2)11yescharacteristic
1776C22D11×H(5,𝔽2)11yescharacteristic
1777C22#1062345511yescharacteristic
1778C22C23×C22⋊D1111yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—222no—
1790C4—441no—
1791C4—441no—
1792C4—441no—
1793C4—441no—
1794C4—441no—
1795C4—441no—
1796C4—441no—
1797C4—441no—
1798C4—441no—
1799C4—441no—
1800C4—441no—
1801C4—441no—
1802C2—42no—
1803C2—42no—
1804C2—81no—
1805C2—81no—
1806C2—81no—
1807C2—442no—
1808C2—442no—
1809C2—881no—
1810C2#1308194511yescharacteristic
1811C2#1308224711yescharacteristic
1812C2#1308227811yescharacteristic
1813C2#1308278311yescharacteristic
1814C2#1308280511yescharacteristic
1815C2#1308288711yescharacteristic
1816C2#1308293111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC2×C11×#538C2
hypercenterC2×#538D11
hypocenterC11#36724
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×#10623078C2semidirect
2. #13076905C2semidirect
3. #13076895C2semidirect
4. #13075283C2semidirect
5. #13075238C2semidirect
6. #13075208C2semidirect
7. #13075199C2semidirect
8. #13075033C2semidirect
9. #13074981C2semidirect
10. #13074968C2semidirect
11. #13074962C2semidirect
12. #13074950C2semidirect
13. #13074944C2semidirect
14. #13074941C2semidirect
15. #13074937C2semidirect
16. #13074863C2semidirect
17. #13074837C2semidirect
18. #13074830C2semidirect
19. #13074828C2semidirect
20. #13074501C2semidirect
21. #13074455C2semidirect
22. #13074305C2semidirect
23. #13074245C2semidirect
24. #13074215C2semidirect
25. #13074198C2semidirect
26. #13073588C2semidirect
27. #13073506C2semidirect
28. #13071961C2semidirect
29. #13071935C2semidirect
30. #13071259C2semidirect
31. C2×C11×#538C2semidirect
33. C23×C4×D11C22semidirect
35. C2×C11×#126C22semidirect
36. C2×C11×#126C22semidirect
38. C2×C11×#124C22semidirect
40. C2×C11×#123C22semidirect
41. C2×C11×C22⋊Q8C22semidirect
46. C2×C11×#120C22semidirect
48. C2×C4×D4×C11C22semidirect
49. C22×C11×C22⋊C4C22semidirect
52. C2×#67006C22semidirect
53. C2×#67000C22semidirect
61. C2×#66990C22semidirect
63. C2×#66983C22semidirect
66. C2×C4×C22⋊D11C22semidirect
67. C2×#66977C22semidirect
69. C2×#66949C22semidirect
70. C2×#66947C22semidirect
73. C2×#66935C22semidirect
74. C2×#66931C22semidirect
75. C2×C4×D44C22semidirect
76. C2×#66925C22semidirect
77. #10622860C22semidirect
78. #10622844C22semidirect
79. #10622843C22semidirect
80. #10622842C22semidirect
86. #10622836C22semidirect
87. #10622836C22semidirect
88. #10622836C22semidirect
91. #10622835C22semidirect
92. #10622835C22semidirect
93. #10622835C22semidirect
94. #10622835C22semidirect
97. #10622834C22semidirect
99. #10622833C22semidirect
101. #10622826C22semidirect
102. #10622826C22semidirect
103. #10622825C22semidirect
104. #10622825C22semidirect
105. #10622824C22semidirect
106. #10622824C22semidirect
107. #10622824C22semidirect
108. #10622823C22semidirect
109. #10622607C22semidirect
110. #10622607C22semidirect
111. #10622605C22semidirect
112. #10622604C22semidirect
113. #10622603C22semidirect
114. #10622603C22semidirect
115. #10622603C22semidirect
116. #10622602C22semidirect
117. #10622602C22semidirect
118. #10622602C22semidirect
119. #10622602C22semidirect
120. #10622602C22semidirect
121. #10622600C22semidirect
122. #10622600C22semidirect
123. #10622598C22semidirect
124. #10622598C22semidirect
125. #10622597C22semidirect
126. #10622597C22semidirect
127. #10622596C22semidirect
128. #10622595C22semidirect
129. #10622591C22semidirect
130. #10622585C22semidirect
135. #10622574C22semidirect
136. #10622574C22semidirect
137. #10622574C22semidirect
138. #10622574C22semidirect
144. #10622572C22semidirect
145. #10622572C22semidirect
149. #10622570C22semidirect
150. #10622570C22semidirect
157. #10622569C22semidirect
158. #10622569C22semidirect
159. #10622569C22semidirect
160. #10622569C22semidirect
161. #10622569C22semidirect
162. #10622568C22semidirect
163. #10622566C22semidirect
164. #10622565C22semidirect
165. #10622565C22semidirect
166. #10622564C22semidirect
167. #10622564C22semidirect
168. #10622564C22semidirect
169. #10622564C22semidirect
170. #10622561C22semidirect
171. #10622561C22semidirect
172. #10622561C22semidirect
173. #10622561C22semidirect
174. #10622560C22semidirect
175. #10622560C22semidirect
176. #10622558C22semidirect
177. #10622558C22semidirect
178. #10622558C22semidirect
179. #10622557C22semidirect
180. #10622557C22semidirect
181. #10622557C22semidirect
182. #10622556C22semidirect
183. #10622553C22semidirect
184. #10622552C22semidirect
185. C4×C4⋊Dic11C22semidirect
186. #10622546C22semidirect
187. #10622545C22semidirect
188. #10622542C22semidirect
244. C4×D4×C11D4semidirect
632. C2×#538D11semidirect
841. C2×#126C2×D11semidirect
842. C2×#126C2×D11semidirect
845. C2×#124C2×D11semidirect
852. C2×#123C2×D11semidirect
856. C2×C22⋊Q8C2×D11semidirect
874. C2×#120C2×D11semidirect
879. C2×C4×D4C2×D11semidirect
881. C22×C22⋊C4C2×D11semidirect
1162. C4×D4C22⋊D11semidirect
1539. C11#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#106230782
#130769052
#130768952
#130752832
#130752382
#130752082
#130751992
#130750332
#130749812
#130749682
#130749622
#130749502
#130749442
#130749412
#130749372
#130748632
#130748372
#130748302
#130748282
#130745012
#130744552
#130743052
#130742452
#130742152
#130741982
#130735882
#130735062
#130719612
#130719352
#130712592
C2×C11×#5382
#3672411