Finite Group Databasebeta

← #14922437

Subgroups — #14922437

Order 2816.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623137C211yesmaximal, characteristic, complemented
2C2×C4×#4341C211yesmaximal, characteristic, complemented
3#13072821C211yesmaximal, characteristic, complemented
4#13072798C211yesmaximal, characteristic, complemented
5#13072733C211yesmaximal, characteristic, complemented
6#13072710C211yesmaximal, characteristic, complemented
7#13072637C211yesmaximal, characteristic, complemented
8#13072540C211yesmaximal, characteristic, complemented
9#13072517C211yesmaximal, characteristic, complemented
10#13072445C211yesmaximal, characteristic, complemented
11#13072363C211yesmaximal, characteristic, complemented
12#13072293C211yesmaximal, characteristic, complemented
13#13072219C211yesmaximal, characteristic, complemented
14#13072149C211yesmaximal, characteristic, complemented
15#13072075C211yesmaximal, characteristic, complemented
16#13071994C211yesmaximal, characteristic, complemented
17#13071930C211yesmaximal, characteristic, complemented
18#13071904C211yesmaximal, characteristic, complemented
19#13071893C211yesmaximal, characteristic, complemented
20#13071851C211yesmaximal, characteristic, complemented
21#13071828C211yesmaximal, characteristic, complemented
22#13071143C211yesmaximal, characteristic, complemented
23#123×Dic11C211yesmaximal, characteristic, complemented
24#13071132C211yesmaximal, characteristic, complemented
25#121×Dic11C211yesmaximal, characteristic, complemented
26#13071121C211yesmaximal, characteristic, complemented
27#13071101C211yesmaximal, characteristic, complemented
28#13071058C211yesmaximal, characteristic, complemented
29#13071052C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2464C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×#123C2211yescharacteristic
36C2×C11×#121C2211yescharacteristic
37C2×C11×#121C2211yescharacteristic
38C2×C4×D4×C11C2211yescharacteristic, complemented
39C2×#66991C2211yescharacteristic
40C2×#66991C2211yescharacteristic
41C2×#66990C2211yescharacteristic
42C2×#66990C2211yescharacteristic
43C2×#66990C2211yescharacteristic
44C2×D4×Dic11C2211yescharacteristic
45C2×D4×Dic11C2211yescharacteristic
46C2×D4×Dic11C2211yescharacteristic
47C2×D4×Dic11C2211yescharacteristic, complemented
48C2×D4×Dic11C2211yescharacteristic, complemented
49C2×C4×C22⋊D11C2211yescharacteristic
50C2×C4×C22⋊D11C2211yescharacteristic
51C2×#66977C2211yescharacteristic
52C22×C4×Dic11C2211yescharacteristic, complemented
53C22×C4×Dic11C2211yescharacteristic, complemented
54#10623137—28no—
55C4×#4341—28no—
56C2×#66950C2211yescharacteristic
57C2×#66945C2211yescharacteristic
58C2×#66945C2211yescharacteristic
59C2×#66940C2211yescharacteristic, complemented
60C2×#66936C2211yescharacteristic
61C2×#66936C2211yescharacteristic
62C2×#66936C2211yescharacteristic
63C2×(C22⋊D11)⋊C4C2211yescharacteristic
64C2×(C22⋊D11)⋊C4C2211yescharacteristic
65C2×(C22⋊D11)⋊C4C2211yescharacteristic
66C2×(C22⋊D11)⋊C4C2211yescharacteristic
67C2×C22⋊C4×D11C2211yescharacteristic
68C2×C22⋊C4×D11C2211yescharacteristic
69C2×#66930C2211yescharacteristic, complemented
70C2×#66930C2211yescharacteristic, complemented
71C2×#66930C2211yescharacteristic, complemented
72C2×C42×D11C2211yescharacteristic
73C2×C42×D11C2211yescharacteristic
74C2×C4×Dic22C2211yescharacteristic, complemented
75C11×#398C2211yescharacteristic, complemented
76C11×#394C2211yescharacteristic
77C11×#392C2211yescharacteristic
78C11×#392C2211yescharacteristic, complemented
79C11×#390C2211yescharacteristic, complemented
80C11×#388C2211yescharacteristic, complemented
81C11×#388C2211yescharacteristic, complemented
82C11×#386C2211yescharacteristic
83C11×#386C2211yescharacteristic, complemented
84C11×#385C2211yescharacteristic, complemented
85C4×C11×C22⋊C4C2211yescharacteristic
86#10622836C2211yescharacteristic
87#10622836C2211yescharacteristic
88#10622835C2211yescharacteristic
89#10622835C2211yescharacteristic
90#10622835C2211yescharacteristic
91#10622835C2211yescharacteristic, complemented
92#10622835C2211yescharacteristic, complemented
93#10622834C2211yescharacteristic
94#10622833C2211yescharacteristic
95#10622833C2211yescharacteristic
96#10622833C2211yescharacteristic, complemented
97#10622833C2211yescharacteristic, complemented
98#10622826C2211yescharacteristic
99#10622826C2211yescharacteristic
100#10622825C2211yescharacteristic, complemented
101#10622824C2211yescharacteristic, complemented
102#10622823C2211yescharacteristic
103C4×C22⋊Dic11C2211yescharacteristic
104#10622607C2211yescharacteristic
105#10622607C2211yescharacteristic
106#10622605C2211yescharacteristic
107#10622603C2211yescharacteristic
108#10622602C2211yescharacteristic
109#10622602C2211yescharacteristic
110#10622600C2211yescharacteristic
111#10622599C2211yescharacteristic, complemented
112#10622598C2211yescharacteristic, complemented
113#10622597C2211yescharacteristic, complemented
114#10622594C2211yescharacteristic, complemented
115#10622594C2211yescharacteristic, complemented
116#10622591C2211yescharacteristic, complemented
117C4⋊C4×Dic11C2211yescharacteristic, complemented
118C4⋊C4×Dic11C2211yescharacteristic, complemented
119C4⋊C4×Dic11C2211yescharacteristic, complemented
120#10622574C2211yescharacteristic
121#10622574C2211yescharacteristic
122#10622571C2211yescharacteristic
123#10622571C2211yescharacteristic
124#10622570C2211yescharacteristic
125#10622570C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622569C2211yescharacteristic
129#10622569C2211yescharacteristic
130#10622569C2211yescharacteristic
131#10622569C2211yescharacteristic
132#10622569C2211yescharacteristic
133#10622568C2211yescharacteristic
134#10622566C2211yescharacteristic, complemented
135#10622565C2211yescharacteristic
136#10622565C2211yescharacteristic, complemented
137#10622564C2211yescharacteristic
138#10622564C2211yescharacteristic
139#10622564C2211yescharacteristic
140#10622564C2211yescharacteristic, complemented
141#10622564C2211yescharacteristic, complemented
142#10622563C2211yescharacteristic, complemented
143#10622563C2211yescharacteristic, complemented
144#10622561C2211yescharacteristic
145#10622561C2211yescharacteristic, complemented
146#10622560C2211yescharacteristic
147#10622560C2211yescharacteristic, complemented
148#10622560C2211yescharacteristic, complemented
149#10622558C2211yescharacteristic, complemented
150#10622558C2211yescharacteristic, complemented
151#10622557C2211yescharacteristic, complemented
152C22⋊C4×Dic11C2211yescharacteristic
153C22⋊C4×Dic11C2211yescharacteristic
154C22⋊C4×Dic11C2211yescharacteristic
155C22⋊C4×Dic11C2211yescharacteristic, complemented
156C22⋊C4×Dic11C2211yescharacteristic, complemented
157C22⋊C4×Dic11C2211yescharacteristic, complemented
158C22⋊C4×Dic11C2211yescharacteristic, complemented
159C22⋊C4×Dic11C2211yescharacteristic, complemented
160C4×(C2×D11)⋊C4C2211yescharacteristic
161C4×(C2×D11)⋊C4C2211yescharacteristic
162#10622546C2211yescharacteristic, complemented
163#10622546C2211yescharacteristic, complemented
164#10622541C2211yescharacteristic, complemented
165#10622286C2211yescharacteristic
166#10622283C2211yescharacteristic
167#10622281C2211yescharacteristic
168#10622281C2211yescharacteristic
169#10622281C2211yescharacteristic
170#10622279C2211yescharacteristic
171#10622279C2211yescharacteristic
172#10622279C2211yescharacteristic
173#10622279C2211yescharacteristic
174#10622277C2211yescharacteristic
175D11×#95C2211yescharacteristic
176D11×#95C2211yescharacteristic
177#10622274C2211yescharacteristic, complemented
178#10622273C2211yescharacteristic, complemented
179#10622272C2211yescharacteristic, complemented
180#10622269C2211yescharacteristic, complemented
181#10622269C2211yescharacteristic, complemented
182#10622268C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622261C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C2×#4341—24no—
212C2×#4341—24no—
213C2×#4341—24no—
214C2×#4341—24no—
215C2×#4341—24no—
216C2×#4341—42no—
217C22×C4×D11—24no—
218C22×C4×D11—24no—
219C22×C4×D11—42no—
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×Dic22C2311yescharacteristic
229C22×Dic22C2311yescharacteristic
230C11×#123—24no—
231C11×#121—24no—
232C11×#121—24no—
233C4×D4×C11—24no—
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C42×C11C2311yescharacteristic
253C2×C42×C11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273#66991—24no—
274#66991—24no—
275#66990—24no—
276#66990—24no—
277#66990—24no—
278D4×Dic11—24no—
279D4×Dic11—24no—
280D4×Dic11—24no—
281D4×Dic11—42no—
282D4×Dic11—42no—
283C4×C22⋊D11—24no—
284C4×C22⋊D11—24no—
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×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308#66977—24no—
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×C4×Dic11—24no—
320C2×C4×Dic11—24no—
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336#66950—24no—
337#66945—24no—
338#66945—24no—
339#66940—24no—
340#66936—24no—
341#66936—24no—
342#66936—24no—
343(C22⋊D11)⋊C4—24no—
344(C22⋊D11)⋊C4—24no—
345(C22⋊D11)⋊C4—24no—
346(C22⋊D11)⋊C4D418yescomplemented
347C22⋊C4×D11—24no—
348C22⋊C4×D11—24no—
349#66930—24no—
350#66930—24no—
351#66930—42no—
352C42×D11—24no—
353C42×D11—42no—
354C4×Dic22—24no—
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
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#34732—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—22no—
401C23×D11—41no—
402C23×D11—41no—
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—22no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C2×D4×C11—41no—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—22no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11—41no—
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—41no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11C2×D414yes—
460C2×C22⋊D11#4114yescomplemented
461C22×Dic11—22no—
462C22×Dic11—22no—
463C22×Dic11—22no—
464C22×Dic11—22no—
465C22×Dic11—22no—
466C22×Dic11—22no—
467C22×Dic11—22no—
468C22×Dic11—22no—
469C22×Dic11—22no—
470C22×Dic11—22no—
471C22×Dic11—22no—
472C22×Dic11—22no—
473C22×Dic11—22no—
474C22×Dic11—22no—
475C22×Dic11—22no—
476C22×Dic11—22no—
477C22×Dic11—22no—
478C22×Dic11C2×D414yes—
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492C22×Dic11C2411yescharacteristic
493#4341—232no—
494#4341—416no—
495C2×C4×D11—22no—
496C2×C4×D11—22no—
497C2×C4×D11—22no—
498C2×C4×D11—22no—
499C2×C4×D11—22no—
500C2×C4×D11—22no—
501C2×C4×D11—22no—
502C2×C4×D11—22no—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—22no—
509C2×C4×D11—22no—
510C2×C4×D11—41no—
511C2×C4×D11—41no—
512C2×C4×D11—41no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—416no—
517C2×C4×D11C2×D414yes—
518C2×C4×D11#4114yescomplemented
519C2×C4×D11#4114yescomplemented
520C2×Dic22—22no—
521C2×Dic22—22no—
522C2×Dic22—22no—
523C2×Dic22—22no—
524C2×Dic22—22no—
525C2×Dic22—41no—
526C11×C4⋊C4—22no—
527C11×C4⋊C4—22no—
528C11×C4⋊C4—22no—
529C11×C4⋊C4—22no—
530C11×C4⋊C4—22no—
531C11×C22⋊C4—22no—
532C11×C22⋊C4—22no—
533C11×C22⋊C4—22no—
534C11×C22⋊C4—22no—
535C11×C22⋊C4—22no—
536C11×C22⋊C4—22no—
537C11×C22⋊C4—22no—
538C11×C22⋊C4—22no—
539C11×C22⋊C4—41no—
540C11×C22⋊C4—41no—
541C11×C22⋊C4—41no—
542C11×C22⋊C4C2×D414yes—
543C11×C22⋊C4#4114yescomplemented
544C42×C11—22no—
545C42×C11—41no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—22no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
554C22⋊Dic11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—41no—
559C22⋊Dic11—41no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562C22⋊Dic11—41no—
563C22⋊Dic11—41no—
564C22⋊Dic11—41no—
565(C2×D11)⋊C4—22no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4C2×D414yes—
579C4⋊Dic11—22no—
580C4⋊Dic11—22no—
581C4⋊Dic11—22no—
582C4⋊Dic11—22no—
583C4⋊Dic11—22no—
584C4⋊Dic11—22no—
585C4⋊Dic11—41no—
586C4⋊Dic11—41no—
587C4⋊Dic11—41no—
588Dic11⋊C4—22no—
589Dic11⋊C4—22no—
590Dic11⋊C4—22no—
591Dic11⋊C4—22no—
592Dic11⋊C4—22no—
593Dic11⋊C4—22no—
594Dic11⋊C4—41no—
595Dic11⋊C4—41no—
596Dic11⋊C4—41no—
597Dic11⋊C4C2×D414yes—
598C4×Dic11—22no—
599C4×Dic11—22no—
600C4×Dic11—22no—
601C4×Dic11—22no—
602C4×Dic11—22no—
603C4×Dic11—22no—
604C4×Dic11—22no—
605C4×Dic11—22no—
606C4×Dic11—22no—
607C4×Dic11—22no—
608C4×Dic11—22no—
609C4×Dic11—22no—
610C4×Dic11—22no—
611C4×Dic11—41no—
612C4×Dic11C2×D414yes—
613C2×#525—111no—
614C2×C4×#41—111no—
615#2477—111no—
616#2476—111no—
617#2471—111no—
618#2470—111no—
619#2465—111no—
620#2464D1111yescharacteristic, complemented
621#2458—111no—
622#2457—111no—
623#2450—111no—
624#2444—111no—
625#2438—111no—
626#2430—111no—
627#2424—111no—
628#2418—111no—
629#2411—111no—
630#2404—111no—
631#2398—111no—
632#2396—111no—
633#2392—111no—
634#2388—111no—
635C4×#123—111no—
636C4×#123—111no—
637C4×#121—111no—
638C4×#121—111no—
639C4×#120—111no—
640#2297—111no—
641#2290—111no—
642#2290—111no—
643C2×C4×C22⋊C4—111no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11C22×D412yes—
670C23×C11C2×#4112yes—
671C23×C11C2×#4112yes—
672C23×C11C2511yescharacteristic
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—28no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—44no—
685C22×D11—44no—
686C22×D11—44no—
687C22×D11—44no—
688C22×D11—44no—
689C22×D11—44no—
690C22×D11C22×D412yes—
691C22×D11C2×#4112yes—
692C22×D11C2×#4112yes—
693C22×D11C2×#4112yes—
694D4×C11—28no—
695D4×C11—44no—
696D4×C11—44no—
697D4×C11—44no—
698D4×C11—44no—
699D4×C11—44no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—44no—
728C2×C4×C11—44no—
729C2×C4×C11—44no—
730C2×C4×C11C22×D412yes—
731C2×C4×C11C22×D412yes—
732C2×C4×C11C2×#4112yes—
733C2×C4×C11C2×#4112yes—
734C2×C4×C11C2×#4112yes—
735C2×C4×C11C2×#4112yes—
736C22⋊D11—28no—
737C22⋊D11—28no—
738C22⋊D11—44no—
739C22⋊D11—44no—
740C22⋊D11—44no—
741C22⋊D11—44no—
742C2×Dic11—28no—
743C2×Dic11—28no—
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—28no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—44no—
781C2×Dic11—44no—
782C2×Dic11—44no—
783C2×Dic11C22×D412yes—
784C2×Dic11C22×D412yes—
785C2×Dic11C22×D412yes—
786C2×Dic11C2×#4112yes—
787C2×Dic11C2×#4112yes—
788C2×Dic11C2×#4112yes—
789C2×Dic11H(5,𝔽2)12yes—
790C4×D11—28no—
791C4×D11—28no—
792C4×D11—28no—
793C4×D11—44no—
794C4×D11—44no—
795C4×D11—44no—
796C4×D11—44no—
797C4×D11—44no—
798Dic22—28no—
799Dic22—44no—
800C22×#41—111no—
801C22×#41—111no—
802C24×C4—111no—
803#525—228no—
804C2×#123—111no—
805C2×#123—111no—
806C2×#123—111no—
807C2×#123C2×D1111yescharacteristic
808C2×C22⋊Q8—111no—
809C2×C22⋊Q8—111no—
810C2×#121—111no—
811C2×#121—111no—
812C2×#121C2×D1111yescharacteristic
813C2×#121C2×D1111yescharacteristic
814C2×#120—111no—
815C2×#120—111no—
816C2×#120—111no—
817C4×#41—228no—
818C2×C4×Q8—111no—
819C2×C4×Q8—111no—
820C2×C4×D4—111no—
821C2×C4×D4—111no—
822C2×C4×D4—111no—
823C2×C4×D4—111no—
824C2×C4×D4—111no—
825C2×C4×D4—111no—
826C2×C4×D4—111no—
827C2×C4×D4—111no—
828C2×C4×D4—111no—
829C2×C4×D4—111no—
830C2×C4×D4—111no—
831C2×C4×D4C2×D1111yescharacteristic, complemented
832C2×#117—111no—
833C2×#117—111no—
834C2×#117—111no—
835C2×#117—111no—
836C2×#117—111no—
837C22×C22⋊C4—111no—
838C22×C22⋊C4—111no—
839C22×C42—111no—
840C22×C42—111no—
841C22×C42—111no—
842C22×C42—111no—
843#400—111no—
844#400—111no—
845#400—111no—
846#399—111no—
847#398—111no—
848#398—111no—
849#398C2×D1111yescharacteristic, complemented
850#397—111no—
851#397—111no—
852#397—111no—
853#396—111no—
854#396—111no—
855#396—111no—
856#396—111no—
857#395—111no—
858#395—111no—
859#394—111no—
860#394—111no—
861#394—111no—
862#394—111no—
863#394—111no—
864#394—111no—
865#394—111no—
866#394C2×D1111yescharacteristic
867#393—111no—
868#393—111no—
869#393—111no—
870#393—111no—
871#392—111no—
872#392—111no—
873#392C2×D1111yescharacteristic
874#392C2×D1111yescharacteristic, complemented
875#391—111no—
876#391—111no—
877#390—111no—
878#390—111no—
879#390—111no—
880#390C2×D1111yescharacteristic, complemented
881#389—111no—
882#389—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#388—111no—
893#388C2×D1111yescharacteristic, complemented
894#388C2×D1111yescharacteristic, complemented
895#387—111no—
896#387—111no—
897#387—111no—
898#387—111no—
899#387—111no—
900#387—111no—
901#387—111no—
902#387—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#386—111no—
916#386—111no—
917#386—111no—
918#386C2×D1111yescharacteristic
919#386C2×D1111yescharacteristic, complemented
920#385—111no—
921#385—111no—
922#385—111no—
923#385—111no—
924#385—111no—
925#385—111no—
926#385—111no—
927#385—111no—
928#385C2×D1111yescharacteristic, complemented
929#381—111no—
930#381—111no—
931#380—111no—
932#380—111no—
933#379—111no—
934C4×C4⋊C4—111no—
935C4×C4⋊C4—111no—
936C4×C4⋊C4—111no—
937C4×C4⋊C4—111no—
938C4×C22⋊C4—111no—
939C4×C22⋊C4—111no—
940C4×C22⋊C4—111no—
941C4×C22⋊C4—111no—
942C4×C22⋊C4—111no—
943C4×C22⋊C4—111no—
944C4×C22⋊C4—111no—
945C4×C22⋊C4—111no—
946C4×C22⋊C4—111no—
947C4×C22⋊C4—111no—
948C4×C22⋊C4—111no—
949C4×C22⋊C4—111no—
950C4×C22⋊C4—111no—
951C4×C22⋊C4—111no—
952C4×C22⋊C4—111no—
953C4×C22⋊C4C2×D1111yescharacteristic
954#376—111no—
955C2×#95—111no—
956C2×#95—111no—
957C22×C11—22no—
958C22×C11—22no—
959C22×C11—22no—
960C22×C11—22no—
961C22×C11—22no—
962C22×C11—22no—
963C22×C11—22no—
964C22×C11—22no—
965C22×C11—22no—
966C22×C11—41no—
967C22×C11—41no—
968C22×C11—41no—
969C22×C11—41no—
970C22×C11—41no—
971C22×C11—41no—
972C22×C11—41no—
973C22×C11—41no—
974C22×C11—41no—
975C22×C11—41no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11C23×D411yescharacteristic
986C22×C11C22×#4111yescharacteristic
987C22×C11C22×#4111yescharacteristic
988C22×C11C22×#4111yescharacteristic
989C22×C11C22×#4111yescharacteristic
990C22×C11C2×H(5,𝔽2)11yescharacteristic
991C22×C11#58511yescharacteristic
992C2×D11—22no—
993C2×D11—22no—
994C2×D11—22no—
995C2×D11—22no—
996C2×D11—22no—
997C2×D11—22no—
998C2×D11—22no—
999C2×D11—22no—
1000C2×D11—22no—
1001C2×D11—416no—
1002C2×D11—41no—
1003C2×D11—41no—
1004C2×D11—41no—
1005C2×D11—41no—
1006C2×D11#52514yes—
1007C4×C11—22no—
1008C4×C11—22no—
1009C4×C11—22no—
1010C4×C11—22no—
1011C4×C11—22no—
1012C4×C11—22no—
1013C4×C11—41no—
1014C4×C11—41no—
1015C4×C11—41no—
1016C4×C11—41no—
1017C4×C11—41no—
1018Dic11—22no—
1019Dic11—22no—
1020Dic11—22no—
1021Dic11—22no—
1022Dic11—41no—
1023Dic11—41no—
1024Dic11—41no—
1025Dic11—41no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11—41no—
1029Dic11—41no—
1030Dic11—41no—
1031Dic11#54614yes—
1032C25—111no—
1033C2×#41—224no—
1034C2×#41—224no—
1035C2×#41—224no—
1036C2×#41—224no—
1037C2×#41—224no—
1038C2×#41—442no—
1039C22×Q8—111no—
1040C22×Q8—111no—
1041C22×D4—111no—
1042C22×D4—111no—
1043C22×D4—111no—
1044C22×D4—111no—
1045C22×D4—111no—
1046C22×D4—111no—
1047C22×D4C22×D1111yescharacteristic
1048C22×D4C22×D1111yescharacteristic
1049C22×D4C22×D1111yescharacteristic
1050C22×D4C22×D1111yescharacteristic
1051C22×D4C22×D1111yescharacteristic
1052C22×D4C22×D1111yescharacteristic
1053C23×C4—111no—
1054C23×C4—111no—
1055C23×C4—111no—
1056C23×C4—111no—
1057C23×C4—111no—
1058C23×C4—111no—
1059C23×C4—111no—
1060C23×C4—111no—
1061C23×C4—111no—
1062C23×C4—111no—
1063C23×C4—111no—
1064C23×C4—111no—
1065C23×C4—111no—
1066C23×C4—111no—
1067C23×C4—224no—
1068C23×C4—224no—
1069C23×C4—442no—
1070C23×C4C22×D1111yescharacteristic
1071C23×C4C22×D1111yescharacteristic
1072C23×C4C22×D1111yescharacteristic
1073#123—24no—
1074#123—224no—
1075#123—224no—
1076#123—224no—
1077C22⋊Q8—224no—
1078C22⋊Q8—224no—
1079#121—24no—
1080#121—24no—
1081#121—224no—
1082#121—224no—
1083#120—224no—
1084#120—224no—
1085#120—224no—
1086C4×Q8—224no—
1087C4×Q8—224no—
1088C4×D4—24no—
1089C4×D4—118no—
1090C4×D4—224no—
1091C4×D4—224no—
1092C4×D4—224no—
1093C4×D4—224no—
1094C4×D4—224no—
1095C4×D4—224no—
1096C4×D4—224no—
1097C4×D4—224no—
1098C4×D4—442no—
1099C4×D4—442no—
1100#117—224no—
1101#117—224no—
1102#117—224no—
1103#117—224no—
1104#117—442no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4—111no—
1111C2×C4⋊C4—111no—
1112C2×C4⋊C4—111no—
1113C2×C4⋊C4—111no—
1114C2×C4⋊C4—111no—
1115C2×C4⋊C4—111no—
1116C2×C4⋊C4—111no—
1117C2×C4⋊C4—111no—
1118C2×C4⋊C4—111no—
1119C2×C4⋊C4—111no—
1120C2×C4⋊C4—111no—
1121C2×C4⋊C4—111no—
1122C2×C4⋊C4—111no—
1123C2×C4⋊C4—111no—
1124C2×C4⋊C4C22×D1111yescharacteristic
1125C2×C4⋊C4C22×D1111yescharacteristic
1126C2×C4⋊C4C22×D1111yescharacteristic
1127C2×C4⋊C4C22×D1111yescharacteristic
1128C2×C4⋊C4C22×D1111yescharacteristic
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—224no—
1163C2×C22⋊C4—224no—
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4C22×D1111yescharacteristic
1169C2×C22⋊C4C22×D1111yescharacteristic
1170C2×C22⋊C4C22×D1111yescharacteristic
1171C2×C22⋊C4C22×D1111yescharacteristic
1172C2×C22⋊C4C22×D1111yescharacteristic
1173C2×C22⋊C4C22×D1111yescharacteristic
1174C2×C22⋊C4C22×D1111yescharacteristic
1175C2×C22⋊C4C22×D1111yescharacteristic
1176C2×C22⋊C4C22×D1111yescharacteristic
1177C2×C42—111no—
1178C2×C42—111no—
1179C2×C42—111no—
1180C2×C42—111no—
1181C2×C42—111no—
1182C2×C42—111no—
1183C2×C42—111no—
1184C2×C42—111no—
1185C2×C42—111no—
1186C2×C42—111no—
1187C2×C42—111no—
1188C2×C42—111no—
1189C2×C42—111no—
1190C2×C42—111no—
1191C2×C42—111no—
1192C2×C42—224no—
1193C2×C42—224no—
1194C2×C42—224no—
1195C2×C42—442no—
1196C2×C42C22×D1111yescharacteristic
1197C2×C42C22×D1111yescharacteristic
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95C22×D1111yescharacteristic
1229#95C22×D1111yescharacteristic
1230#95C22×D1111yescharacteristic
1231#95C22×D1111yescharacteristic
1232#95C22×D1111yescharacteristic
1233#95C22×D1111yescharacteristic
1234C2×C11—42no—
1235C2×C11—42no—
1236C2×C11—42no—
1237C2×C11—81no—
1238C2×C11C2×#52511yescharacteristic
1239C2×C11#344411yescharacteristic
1240C2×C11#346011yescharacteristic
1241C2×C11C2×#54611yescharacteristic
1242C2×C11D4×#4111yescharacteristic
1243C2×C11#347511yescharacteristic
1244C2×C11#348111yescharacteristic
1245D11—24no—
1246D11—42no—
1247C24—111no—
1248C24—111no—
1249C24—222no—
1250C24—222no—
1251C24—222no—
1252C24—222no—
1253C24—222no—
1254C24—441no—
1255C24—441no—
1256C24C23×D1111yescharacteristic
1257C24C23×D1111yescharacteristic
1258C24C23×D1111yescharacteristic
1259C24C23×D1111yescharacteristic
1260#41—2232no—
1261#41—4416no—
1262C2×Q8—222no—
1263C2×Q8—222no—
1264C2×Q8—222no—
1265C2×Q8—222no—
1266C2×Q8—222no—
1267C2×Q8—441no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—114no—
1287C2×D4—114no—
1288C2×D4—222no—
1289C2×D4—222no—
1290C2×D4—222no—
1291C2×D4—222no—
1292C2×D4—222no—
1293C2×D4—222no—
1294C2×D4—222no—
1295C2×D4—222no—
1296C2×D4—222no—
1297C2×D4—222no—
1298C2×D4—222no—
1299C2×D4—222no—
1300C2×D4—222no—
1301C2×D4—441no—
1302C2×D4—441no—
1303C2×D4—441no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—111no—
1314C22×C4—114no—
1315C22×C4—111no—
1316C22×C4—111no—
1317C22×C4—111no—
1318C22×C4—111no—
1319C22×C4—114no—
1320C22×C4—114no—
1321C22×C4—114no—
1322C22×C4—111no—
1323C22×C4—111no—
1324C22×C4—111no—
1325C22×C4—111no—
1326C22×C4—111no—
1327C22×C4—111no—
1328C22×C4—111no—
1329C22×C4—111no—
1330C22×C4—111no—
1331C22×C4—222no—
1332C22×C4—222no—
1333C22×C4—222no—
1334C22×C4—222no—
1335C22×C4—222no—
1336C22×C4—222no—
1337C22×C4—222no—
1338C22×C4—222no—
1339C22×C4—222no—
1340C22×C4—222no—
1341C22×C4—222no—
1342C22×C4—222no—
1343C22×C4—222no—
1344C22×C4—222no—
1345C22×C4—222no—
1346C22×C4—222no—
1347C22×C4—222no—
1348C22×C4—222no—
1349C22×C4—222no—
1350C22×C4—222no—
1351C22×C4—222no—
1352C22×C4—222no—
1353C22×C4—222no—
1354C22×C4—222no—
1355C22×C4—222no—
1356C22×C4—222no—
1357C22×C4—222no—
1358C22×C4—222no—
1359C22×C4—222no—
1360C22×C4—222no—
1361C22×C4—222no—
1362C22×C4—222no—
1363C22×C4—441no—
1364C22×C4—441no—
1365C22×C4—441no—
1366C22×C4—441no—
1367C22×C4—441no—
1368C22×C4—441no—
1369C22×C4—4416no—
1370C22×C4C23×D1111yescharacteristic
1371C22×C4C23×D1111yescharacteristic
1372C22×C4C23×D1111yescharacteristic
1373C22×C4C23×D1111yescharacteristic
1374C22×C4C23×D1111yescharacteristic
1375C22×C4C23×D1111yescharacteristic
1376C22×C4C23×D1111yescharacteristic
1377C22×C4C23×D1111yescharacteristic
1378C22×C4C23×D1111yescharacteristic
1379C22×C4C23×D1111yescharacteristic
1380C22×C4C23×D1111yescharacteristic
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—114no—
1387C4⋊C4—222no—
1388C4⋊C4—222no—
1389C4⋊C4—222no—
1390C4⋊C4—222no—
1391C4⋊C4—222no—
1392C4⋊C4—222no—
1393C4⋊C4—222no—
1394C4⋊C4—222no—
1395C4⋊C4—222no—
1396C4⋊C4—222no—
1397C4⋊C4—222no—
1398C4⋊C4—222no—
1399C4⋊C4—441no—
1400C4⋊C4—441no—
1401C4⋊C4—441no—
1402C4⋊C4—441no—
1403C4⋊C4—441no—
1404C4⋊C4—441no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—114no—
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—222no—
1429C22⋊C4—222no—
1430C22⋊C4—222no—
1431C22⋊C4—222no—
1432C22⋊C4—222no—
1433C22⋊C4—222no—
1434C22⋊C4—222no—
1435C22⋊C4—222no—
1436C22⋊C4—222no—
1437C22⋊C4—222no—
1438C22⋊C4—222no—
1439C22⋊C4—222no—
1440C22⋊C4—222no—
1441C22⋊C4—441no—
1442C22⋊C4—441no—
1443C22⋊C4—441no—
1444C22⋊C4—441no—
1445C22⋊C4—441no—
1446C22⋊C4—441no—
1447C22⋊C4—441no—
1448C22⋊C4—441no—
1449C22⋊C4D4×D1114yes—
1450C22⋊C4#434114yescomplemented
1451C42—22no—
1452C42—41no—
1453C42—114no—
1454C42—222no—
1455C42—222no—
1456C42—222no—
1457C42—222no—
1458C42—222no—
1459C42—222no—
1460C42—222no—
1461C42—222no—
1462C42—222no—
1463C42—222no—
1464C42—222no—
1465C42—222no—
1466C42—222no—
1467C42—441no—
1468C11#3473211yescharacteristic, complemented, Sylow
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—112no—
1495C23—112no—
1496C23—112no—
1497C23—112no—
1498C23—228no—
1499C23—221no—
1500C23—221no—
1501C23—221no—
1502C23—221no—
1503C23—221no—
1504C23—221no—
1505C23—221no—
1506C23—221no—
1507C23—221no—
1508C23—221no—
1509C23—444no—
1510C23—444no—
1511C23—444no—
1512C23—444no—
1513C23—444no—
1514C23—444no—
1515C23C2×D4×D1112yes—
1516C23C2×#434112yes—
1517C23#41×D1112yes—
1518C23C24×D1111yescharacteristic
1519Q8—228no—
1520Q8—444no—
1521D4—28no—
1522D4—44no—
1523D4—44no—
1524D4—44no—
1525D4—44no—
1526D4—44no—
1527D4—228no—
1528D4—228no—
1529D4—444no—
1530D4—444no—
1531D4—444no—
1532D4—444no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—112no—
1564C2×C4—112no—
1565C2×C4—112no—
1566C2×C4—112no—
1567C2×C4—112no—
1568C2×C4—112no—
1569C2×C4—112no—
1570C2×C4—228no—
1571C2×C4—228no—
1572C2×C4—228no—
1573C2×C4—228no—
1574C2×C4—228no—
1575C2×C4—228no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—221no—
1595C2×C4—221no—
1596C2×C4—221no—
1597C2×C4—221no—
1598C2×C4—221no—
1599C2×C4—221no—
1600C2×C4—221no—
1601C2×C4—221no—
1602C2×C4—221no—
1603C2×C4—221no—
1604C2×C4—221no—
1605C2×C4—221no—
1606C2×C4—221no—
1607C2×C4—221no—
1608C2×C4—221no—
1609C2×C4—221no—
1610C2×C4—221no—
1611C2×C4—444no—
1612C2×C4—444no—
1613C2×C4—444no—
1614C2×C4—444no—
1615C2×C4—444no—
1616C2×C4—444no—
1617C2×C4—444no—
1618C2×C4—444no—
1619C2×C4C2×D4×D1112yes—
1620C2×C4C2×D4×D1112yes—
1621C2×C4C2×#434112yes—
1622C2×C4C2×#434112yes—
1623C2×C4#41×D1112yes—
1624C2×C4#41×D1112yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—114no—
1654C22—222no—
1655C22—222no—
1656C22—222no—
1657C22—222no—
1658C22—222no—
1659C22—222no—
1660C22—222no—
1661C22—222no—
1662C22—222no—
1663C22—4416no—
1664C22—441no—
1665C22—441no—
1666C22—441no—
1667C22—441no—
1668C22C22×D4×D1111yescharacteristic
1669C22C22×#434111yescharacteristic
1670C22C2×#41×D1111yescharacteristic
1671C22C2×#41×D1111yescharacteristic
1672C22C2×#41×D1111yescharacteristic
1673C22D11×H(5,𝔽2)11yescharacteristic
1674C22#1062345511yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—114no—
1687C4—222no—
1688C4—222no—
1689C4—222no—
1690C4—222no—
1691C4—441no—
1692C4—441no—
1693C4—441no—
1694C4—441no—
1695C4—441no—
1696C4—441no—
1697C4—441no—
1698C4—441no—
1699C4—441no—
1700C2—42no—
1701C2—42no—
1702C2—42no—
1703C2—81no—
1704C2—224no—
1705C2—442no—
1706C2D11×#52511yescharacteristic
1707C2#1308191111yescharacteristic
1708C2#1308203111yescharacteristic
1709C2D11×#54611yescharacteristic
1710C2D4×#434111yescharacteristic
1711C2#1308217511yescharacteristic
1712C2#1308222111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2464C2
hypercenter#2464D11
hypocenterC11#34732
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2464

Complements

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

NH ≅ G/Ntype
1. C2×#10623137C2semidirect
2. C2×C4×#4341C2semidirect
3. #13072821C2semidirect
4. #13072798C2semidirect
5. #13072733C2semidirect
6. #13072710C2semidirect
7. #13072637C2semidirect
8. #13072540C2semidirect
9. #13072517C2semidirect
10. #13072445C2semidirect
11. #13072363C2semidirect
12. #13072293C2semidirect
13. #13072219C2semidirect
14. #13072149C2semidirect
15. #13072075C2semidirect
16. #13071994C2semidirect
17. #13071930C2semidirect
18. #13071904C2semidirect
19. #13071893C2semidirect
20. #13071851C2semidirect
21. #13071828C2semidirect
22. #13071143C2semidirect
23. #123×Dic11C2semidirect
24. #13071132C2semidirect
25. #121×Dic11C2semidirect
26. #13071121C2semidirect
27. #13071101C2semidirect
28. #13071058C2semidirect
29. #13071052C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2464C2semidirect
38. C2×C4×D4×C11C22semidirect
47. C2×D4×Dic11C22semidirect
48. C2×D4×Dic11C22semidirect
52. C22×C4×Dic11C22semidirect
53. C22×C4×Dic11C22semidirect
59. C2×#66940C22semidirect
69. C2×#66930C22semidirect
70. C2×#66930C22semidirect
71. C2×#66930C22semidirect
74. C2×C4×Dic22C22semidirect
75. C11×#398C22semidirect
78. C11×#392C22semidirect
79. C11×#390C22semidirect
80. C11×#388C22semidirect
81. C11×#388C22semidirect
83. C11×#386C22semidirect
84. C11×#385C22semidirect
91. #10622835C22semidirect
92. #10622835C22semidirect
96. #10622833C22semidirect
97. #10622833C22semidirect
100. #10622825C22semidirect
101. #10622824C22semidirect
111. #10622599C22semidirect
112. #10622598C22semidirect
113. #10622597C22semidirect
114. #10622594C22semidirect
115. #10622594C22semidirect
116. #10622591C22semidirect
117. C4⋊C4×Dic11C22semidirect
118. C4⋊C4×Dic11C22semidirect
119. C4⋊C4×Dic11C22semidirect
134. #10622566C22semidirect
136. #10622565C22semidirect
140. #10622564C22semidirect
141. #10622564C22semidirect
142. #10622563C22semidirect
143. #10622563C22semidirect
145. #10622561C22semidirect
147. #10622560C22semidirect
148. #10622560C22semidirect
149. #10622558C22semidirect
150. #10622558C22semidirect
151. #10622557C22semidirect
155. C22⋊C4×Dic11C22semidirect
156. C22⋊C4×Dic11C22semidirect
157. C22⋊C4×Dic11C22semidirect
158. C22⋊C4×Dic11C22semidirect
159. C22⋊C4×Dic11C22semidirect
162. #10622546C22semidirect
163. #10622546C22semidirect
164. #10622541C22semidirect
177. #10622274C22semidirect
178. #10622273C22semidirect
179. #10622272C22semidirect
180. #10622269C22semidirect
181. #10622269C22semidirect
182. #10622268C22semidirect
183. #10622266C22semidirect
184. #10622265C22semidirect
185. #10622262C22semidirect
186. #10622261C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
346. (C22⋊D11)⋊C4D4semidirect
460. C2×C22⋊D11#41semidirect
518. C2×C4×D11#41semidirect
519. C2×C4×D11#41semidirect
543. C11×C22⋊C4#41semidirect
620. #2464D11semidirect
831. C2×C4×D4C2×D11semidirect
849. #398C2×D11semidirect
874. #392C2×D11semidirect
880. #390C2×D11semidirect
893. #388C2×D11semidirect
894. #388C2×D11semidirect
919. #386C2×D11semidirect
928. #385C2×D11semidirect
1450. C22⋊C4#4341semidirect
1468. C11#34732semidirect

Maximal subgroups

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

subgroupindex
C2×#106231372
C2×C4×#43412
#130728212
#130727982
#130727332
#130727102
#130726372
#130725402
#130725172
#130724452
#130723632
#130722932
#130722192
#130721492
#130720752
#130719942
#130719302
#130719042
#130718932
#130718512
#130718282
#130711432
#123×Dic112
#130711322
#121×Dic112
#130711212
#130711012
#130710582
#130710522
C4×C22⋊C4×D112
C11×#24642
#3473211