Finite Group Databasebeta

← #14922439

Subgroups — #14922439

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×#10623053C211yesmaximal, characteristic, complemented
3#13072817C211yesmaximal, characteristic, complemented
4#13072729C211yesmaximal, characteristic, complemented
5#13072706C211yesmaximal, characteristic, complemented
6#13072641C211yesmaximal, characteristic, complemented
7#13072618C211yesmaximal, characteristic, complemented
8#13072544C211yesmaximal, characteristic, complemented
9#13072521C211yesmaximal, characteristic, complemented
10#13072441C211yesmaximal, characteristic, complemented
11#13072359C211yesmaximal, characteristic, complemented
12#13072297C211yesmaximal, characteristic, complemented
13#13072223C211yesmaximal, characteristic, complemented
14#13072145C211yesmaximal, characteristic, complemented
15#13072071C211yesmaximal, characteristic, complemented
16#13071998C211yesmaximal, characteristic, complemented
17#13071933C211yesmaximal, characteristic, complemented
18#13071904C211yesmaximal, characteristic, complemented
19#13071893C211yesmaximal, characteristic, complemented
20#13071859C211yesmaximal, characteristic, complemented
21#13071830C211yesmaximal, characteristic, complemented
22#13071143C211yesmaximal, characteristic, complemented
23#13071141C211yesmaximal, characteristic, complemented
24#13071132C211yesmaximal, characteristic, complemented
25#13071128C211yesmaximal, characteristic, complemented
26#13071117C211yesmaximal, characteristic, complemented
27#13071101C211yesmaximal, characteristic, complemented
28#13071058C211yesmaximal, characteristic, complemented
29#13071054C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2476C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C22×#4339C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic
36C2×C11×#117C2211yescharacteristic, complemented
37C2×#66991C2211yescharacteristic
38C2×#66991C2211yescharacteristic
39C2×#66990C2211yescharacteristic
40C2×#66990C2211yescharacteristic
41C2×#66988C2211yescharacteristic
42C2×D4×Dic11C2211yescharacteristic
43C2×D4×Dic11C2211yescharacteristic
44C2×#66977C2211yescharacteristic
45C22×C4×Dic11C2211yescharacteristic, complemented
46#10623137—28no—
47#10623053—28no—
48C2×#66950C2211yescharacteristic
49C2×#66946C2211yescharacteristic
50C2×#66946C2211yescharacteristic
51C2×#66946C2211yescharacteristic
52C2×#66945C2211yescharacteristic
53C2×#66940C2211yescharacteristic, complemented
54C2×#66940C2211yescharacteristic, complemented
55C2×#66937C2211yescharacteristic
56C2×#66936C2211yescharacteristic
57C2×#66936C2211yescharacteristic
58C2×#66936C2211yescharacteristic
59C2×#66935C2211yescharacteristic
60C2×(C22⋊D11)⋊C4C2211yescharacteristic
61C2×(C22⋊D11)⋊C4C2211yescharacteristic
62C2×(C22⋊D11)⋊C4C2211yescharacteristic
63C2×(C22⋊D11)⋊C4C2211yescharacteristic
64C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
65C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
66C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
67C2×C22⋊C4×D11C2211yescharacteristic
68C2×C22⋊C4×D11C2211yescharacteristic
69C2×#66930C2211yescharacteristic, complemented
70C2×#66925C2211yescharacteristic
71C2×#66925C2211yescharacteristic, complemented
72C2×C42×D11C2211yescharacteristic
73C2×C42×D11C2211yescharacteristic
74C2×C42×D11C2211yescharacteristic, complemented
75C11×#398C2211yescharacteristic, complemented
76C11×#394C2211yescharacteristic
77C11×#394C2211yescharacteristic
78C11×#394C2211yescharacteristic, complemented
79C11×#390C2211yescharacteristic
80C11×#388C2211yescharacteristic, complemented
81C11×#388C2211yescharacteristic, complemented
82C11×#388C2211yescharacteristic, complemented
83C11×#387C2211yescharacteristic, complemented
84C11×#386C2211yescharacteristic
85C11×#386C2211yescharacteristic, complemented
86C11×#385C2211yescharacteristic
87C4×C11×C22⋊C4C2211yescharacteristic
88#10622836C2211yescharacteristic
89#10622836C2211yescharacteristic, complemented
90#10622835C2211yescharacteristic
91#10622833C2211yescharacteristic, complemented
92#10622826C2211yescharacteristic
93#10622826C2211yescharacteristic
94#10622823C2211yescharacteristic, complemented
95C4×C22⋊Dic11C2211yescharacteristic
96#10622607C2211yescharacteristic
97#10622607C2211yescharacteristic
98#10622607C2211yescharacteristic, complemented
99#10622605C2211yescharacteristic
100#10622602C2211yescharacteristic
101#10622602C2211yescharacteristic
102#10622602C2211yescharacteristic
103#10622602C2211yescharacteristic
104#10622602C2211yescharacteristic, complemented
105#10622600C2211yescharacteristic, complemented
106#10622599C2211yescharacteristic, complemented
107#10622597C2211yescharacteristic, complemented
108#10622594C2211yescharacteristic, complemented
109#10622592C2211yescharacteristic, complemented
110C4⋊C4×Dic11C2211yescharacteristic, complemented
111C4⋊C4×Dic11C2211yescharacteristic, complemented
112#10622585C2211yescharacteristic, complemented
113#10622574C2211yescharacteristic, complemented
114#10622573C2211yescharacteristic
115#10622573C2211yescharacteristic
116#10622572C2211yescharacteristic
117#10622572C2211yescharacteristic
118#10622572C2211yescharacteristic
119#10622571C2211yescharacteristic
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic, complemented
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622569C2211yescharacteristic, complemented
129#10622568C2211yescharacteristic
130#10622565C2211yescharacteristic
131#10622565C2211yescharacteristic, complemented
132#10622565C2211yescharacteristic, complemented
133#10622564C2211yescharacteristic, complemented
134#10622561C2211yescharacteristic
135#10622560C2211yescharacteristic
136#10622560C2211yescharacteristic, complemented
137#10622558C2211yescharacteristic
138#10622558C2211yescharacteristic
139#10622558C2211yescharacteristic
140#10622558C2211yescharacteristic, complemented
141#10622557C2211yescharacteristic, complemented
142#10622556C2211yescharacteristic, complemented
143C22⋊C4×Dic11C2211yescharacteristic
144C22⋊C4×Dic11C2211yescharacteristic
145C22⋊C4×Dic11C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic, complemented
147C22⋊C4×Dic11C2211yescharacteristic, complemented
148C22⋊C4×Dic11C2211yescharacteristic, complemented
149C22⋊C4×Dic11C2211yescharacteristic, complemented
150#10622553C2211yescharacteristic
151#10622553C2211yescharacteristic, complemented
152C4×(C2×D11)⋊C4C2211yescharacteristic
153C4×(C2×D11)⋊C4C2211yescharacteristic
154#10622546C2211yescharacteristic, complemented
155#10622546C2211yescharacteristic, complemented
156#10622541C2211yescharacteristic, complemented
157#10622286C2211yescharacteristic
158#10622286C2211yescharacteristic, complemented
159#10622282C2211yescharacteristic
160#10622281C2211yescharacteristic
161#10622281C2211yescharacteristic, complemented
162#10622280C2211yescharacteristic
163#10622279C2211yescharacteristic
164#10622279C2211yescharacteristic
165#10622279C2211yescharacteristic
166#10622279C2211yescharacteristic
167#10622279C2211yescharacteristic, complemented
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622277C2211yescharacteristic
174D11×#95C2211yescharacteristic
175D11×#95C2211yescharacteristic
176#10622273C2211yescharacteristic, complemented
177#10622272C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622269C2211yescharacteristic, complemented
180#10622268C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622261C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C2×#4341—24no—
207C2×#4341—24no—
208C2×#4341—42no—
209C2×#4339—24no—
210C2×#4339—24no—
211C2×#4339—24no—
212C22×D44C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×C4×D11—24no—
215C22×C4×D11—24no—
216C22×C4×D11—42no—
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
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×#121—24no—
231C11×#117—24no—
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C22⋊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×C42×C11C2311yescharacteristic
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
266#66991—24no—
267#66991—24no—
268#66990—24no—
269#66990—24no—
270#66988—24no—
271D4×Dic11—24no—
272D4×Dic11—24no—
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×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299#66977—24no—
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×C4×Dic11—24no—
314C2×C4×Dic11C2311yescharacteristic
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
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328#66950—24no—
329#66946—24no—
330#66946—24no—
331#66946—24no—
332#66945—24no—
333#66940—24no—
334#66940—24no—
335#66937—24no—
336#66936—24no—
337#66936—24no—
338#66936—24no—
339#66935—24no—
340(C22⋊D11)⋊C4—24no—
341(C22⋊D11)⋊C4—24no—
342(C22⋊D11)⋊C4—24no—
343(C22⋊D11)⋊C4—24no—
344(C22⋊D11)⋊C4—42no—
345(C22⋊D11)⋊C4—42no—
346(C22⋊D11)⋊C4D418yescomplemented
347C22⋊C4×D11—24no—
348C22⋊C4×D11—24no—
349#66930—42no—
350#66925—24no—
351#66925—24no—
352C42×D11—24no—
353C42×D11—24no—
354C42×D11—42no—
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
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11C2411yescharacteristic
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—41no—
412C2×D4×C11—41no—
413C2×D4×C11—41no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
419C22×C4×C11—41no—
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
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
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—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11—41no—
452C2×C22⋊D11C2×D414yes—
453C22×Dic11—22no—
454C22×Dic11—22no—
455C22×Dic11—22no—
456C22×Dic11—22no—
457C22×Dic11—22no—
458C22×Dic11—22no—
459C22×Dic11—22no—
460C22×Dic11—22no—
461C22×Dic11—22no—
462C22×Dic11—22no—
463C22×Dic11—41no—
464C22×Dic11C2×D414yes—
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478#4341—416no—
479#4339—232no—
480C2×D44—22no—
481C2×D44—22no—
482C2×D44—22no—
483C2×D44—22no—
484C2×D44—41no—
485C2×D44#4114yescomplemented
486C2×C4×D11—22no—
487C2×C4×D11—22no—
488C2×C4×D11—22no—
489C2×C4×D11—22no—
490C2×C4×D11—22no—
491C2×C4×D11—22no—
492C2×C4×D11—22no—
493C2×C4×D11—22no—
494C2×C4×D11—22no—
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—41no—
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—41no—
531C11×C4⋊C4—41no—
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⋊C4—41no—
543C11×C22⋊C4—41no—
544C11×C22⋊C4C2×D414yes—
545C42×C11—22no—
546C42×C11—22no—
547C42×C11—41no—
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—41no—
558C22⋊Dic11—41no—
559C22⋊Dic11#4114yescomplemented
560(C2×D11)⋊C4—22no—
561(C2×D11)⋊C4—22no—
562(C2×D11)⋊C4—22no—
563(C2×D11)⋊C4—22no—
564(C2×D11)⋊C4—22no—
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—41no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4—41no—
580(C2×D11)⋊C4C2×D414yes—
581C4⋊Dic11—22no—
582C4⋊Dic11—22no—
583C4⋊Dic11—22no—
584C4⋊Dic11—22no—
585C4⋊Dic11—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—22no—
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⋊C4—41no—
598Dic11⋊C4C2×D414yes—
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#2476D1111yescharacteristic, complemented
617#2471—111no—
618#2470—111no—
619#2465—111no—
620#2464—111no—
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×C11C22×D412yes—
664C23×C11C2×#4112yes—
665C23×C11C2511yescharacteristic
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—28no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—44no—
684C22×D11—44no—
685C22×D11—44no—
686C22×D11—44no—
687C22×D11—44no—
688C22×D11—44no—
689C22×D11C22×D412yes—
690C22×D11C2×#4112yes—
691C22×D11C2×#4112yes—
692C22×D11C2×#4112yes—
693C22×D11C2×#4112yes—
694D4×C11—44no—
695D4×C11—44no—
696D4×C11—44no—
697C2×C4×C11—28no—
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—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—21no—
728C2×C4×C11—21no—
729C2×C4×C11—44no—
730C2×C4×C11C22×D412yes—
731C2×C4×C11C22×D412yes—
732C2×C4×C11C2×#4112yes—
733C2×C4×C11C2×#4112yes—
734C2×C4×C11C2×#4112yes—
735C22⋊D11—28no—
736C22⋊D11—28no—
737C22⋊D11—44no—
738C22⋊D11—44no—
739C22⋊D11—44no—
740C22⋊D11—44no—
741C22⋊D11—44no—
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—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—44no—
775C2×Dic11—44no—
776C2×Dic11—44no—
777C2×Dic11C22×D412yes—
778C2×Dic11C22×D412yes—
779C2×Dic11C22×D412yes—
780C2×Dic11C2×#4112yes—
781C2×Dic11C2×#4112yes—
782C2×Dic11C2×#4112yes—
783C2×Dic11C2×#4112yes—
784C2×Dic11H(5,𝔽2)12yes—
785D44—28no—
786D44—44no—
787C4×D11—28no—
788C4×D11—28no—
789C4×D11—28no—
790C4×D11—28no—
791C4×D11—44no—
792C4×D11—44no—
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×#123—111no—
808C2×C22⋊Q8—111no—
809C2×C22⋊Q8—111no—
810C2×#121—111no—
811C2×#121—111no—
812C2×#121—111no—
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×D4—111no—
832C2×#117—111no—
833C2×#117—111no—
834C2×#117—111no—
835C2×#117—111no—
836C2×#117C2×D1111yescharacteristic, complemented
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#394C2×D1111yescharacteristic
865#394C2×D1111yescharacteristic
866#394C2×D1111yescharacteristic, complemented
867#393—111no—
868#393—111no—
869#393—111no—
870#393—111no—
871#392—111no—
872#392—111no—
873#392—111no—
874#392—111no—
875#391—111no—
876#391—111no—
877#390—111no—
878#390—111no—
879#390—111no—
880#390C2×D1111yescharacteristic
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#388C2×D1111yescharacteristic, complemented
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#387C2×D1111yescharacteristic, complemented
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
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—41no—
964C22×C11—41no—
965C22×C11—41no—
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×C11C23×D411yescharacteristic
979C22×C11C22×#4111yescharacteristic
980C22×C11C22×#4111yescharacteristic
981C22×C11C22×#4111yescharacteristic
982C22×C11C22×#4111yescharacteristic
983C22×C11C2×H(5,𝔽2)11yescharacteristic
984C22×C11#58511yescharacteristic
985C2×D11—22no—
986C2×D11—22no—
987C2×D11—22no—
988C2×D11—22no—
989C2×D11—22no—
990C2×D11—22no—
991C2×D11—22no—
992C2×D11—22no—
993C2×D11—22no—
994C2×D11—22no—
995C2×D11—22no—
996C2×D11—22no—
997C2×D11—416no—
998C2×D11—41no—
999C2×D11—41no—
1000C2×D11—41no—
1001C2×D11—41no—
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—41no—
1013C4×C11—41no—
1014C4×C11—41no—
1015C4×C11—41no—
1016C4×C11—41no—
1017C4×C11—41no—
1018C4×C11—41no—
1019Dic11—22no—
1020Dic11—22no—
1021Dic11—22no—
1022Dic11—22no—
1023Dic11—22no—
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×D4—111no—
1048C22×D4—111no—
1049C22×D4—111no—
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—111no—
1068C23×C4—224no—
1069C23×C4—224no—
1070C23×C4—442no—
1071C23×C4C22×D1111yescharacteristic
1072C23×C4C22×D1111yescharacteristic
1073#123—224no—
1074#123—224no—
1075#123—224no—
1076#123—224no—
1077C22⋊Q8—224no—
1078C22⋊Q8—224no—
1079#121—24no—
1080#121—224no—
1081#121—224no—
1082#121—224no—
1083#120—224no—
1084#120—224no—
1085#120—224no—
1086C4×Q8—224no—
1087C4×Q8—224no—
1088C4×D4—118no—
1089C4×D4—224no—
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—24no—
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⋊C4C22×D1111yescharacteristic
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—224no—
1192C2×C42—224no—
1193C2×C42—224no—
1194C2×C42—442no—
1195C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1227#95C22×D1111yescharacteristic
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—81no—
1237C2×C11C2×#52511yescharacteristic
1238C2×C11#344411yescharacteristic
1239C2×C11#346011yescharacteristic
1240C2×C11C2×#54611yescharacteristic
1241C2×C11D4×#4111yescharacteristic
1242C2×C11#347511yescharacteristic
1243C2×C11#348111yescharacteristic
1244D11—24no—
1245D11—42no—
1246D11—42no—
1247C24—111no—
1248C24—111no—
1249C24—111no—
1250C24—222no—
1251C24—222no—
1252C24—222no—
1253C24—222no—
1254C24—222no—
1255C24—441no—
1256C24—441no—
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—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—114no—
1278C2×D4—114no—
1279C2×D4—222no—
1280C2×D4—222no—
1281C2×D4—222no—
1282C2×D4—222no—
1283C2×D4—222no—
1284C2×D4—222no—
1285C2×D4—222no—
1286C2×D4—222no—
1287C2×D4—222no—
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—441no—
1300C2×D4—441no—
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—41no—
1310C22×C4—111no—
1311C22×C4—114no—
1312C22×C4—111no—
1313C22×C4—111no—
1314C22×C4—111no—
1315C22×C4—111no—
1316C22×C4—111no—
1317C22×C4—114no—
1318C22×C4—114no—
1319C22×C4—114no—
1320C22×C4—111no—
1321C22×C4—111no—
1322C22×C4—111no—
1323C22×C4—111no—
1324C22×C4—111no—
1325C22×C4—111no—
1326C22×C4—111no—
1327C22×C4—222no—
1328C22×C4—222no—
1329C22×C4—222no—
1330C22×C4—222no—
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—441no—
1361C22×C4—441no—
1362C22×C4—441no—
1363C22×C4—441no—
1364C22×C4—441no—
1365C22×C4—441no—
1366C22×C4—441no—
1367C22×C4—4416no—
1368C22×C4—441no—
1369C22×C4C23×D1111yescharacteristic
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—41no—
1386C4⋊C4—41no—
1387C4⋊C4—114no—
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—222no—
1400C4⋊C4—222no—
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—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—114no—
1418C22⋊C4—114no—
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—222no—
1442C22⋊C4—222no—
1443C22⋊C4—222no—
1444C22⋊C4—441no—
1445C22⋊C4—441no—
1446C22⋊C4—441no—
1447C22⋊C4—441no—
1448C22⋊C4—441no—
1449C22⋊C4—441no—
1450C22⋊C4D4×D1114yes—
1451C42—22no—
1452C42—22no—
1453C42—41no—
1454C42—114no—
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—112no—
1489C23—112no—
1490C23—112no—
1491C23—112no—
1492C23—112no—
1493C23—228no—
1494C23—221no—
1495C23—221no—
1496C23—221no—
1497C23—221no—
1498C23—221no—
1499C23—221no—
1500C23—221no—
1501C23—221no—
1502C23—221no—
1503C23—221no—
1504C23—221no—
1505C23—221no—
1506C23—221no—
1507C23—221no—
1508C23—221no—
1509C23—221no—
1510C23—444no—
1511C23—444no—
1512C23—444no—
1513C23—444no—
1514C23—444no—
1515C23—444no—
1516C23C2×D4×D1112yes—
1517C23#41×D1112yes—
1518C23C24×D1111yescharacteristic
1519Q8—228no—
1520Q8—444no—
1521D4—44no—
1522D4—44no—
1523D4—44no—
1524D4—228no—
1525D4—228no—
1526D4—228no—
1527D4—444no—
1528D4—444no—
1529D4—444no—
1530D4—444no—
1531D4—444no—
1532D4—444no—
1533C2×C4—28no—
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—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—44no—
1566C2×C4—112no—
1567C2×C4—112no—
1568C2×C4—112no—
1569C2×C4—112no—
1570C2×C4—112no—
1571C2×C4—112no—
1572C2×C4—112no—
1573C2×C4—112no—
1574C2×C4—228no—
1575C2×C4—228no—
1576C2×C4—228no—
1577C2×C4—228no—
1578C2×C4—228no—
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—444no—
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×C4—444no—
1620C2×C4C2×D4×D1112yes—
1621C2×C4C2×D4×D1112yes—
1622C2×C4#41×D1112yes—
1623C2×C4#41×D1112yes—
1624C2×C4#41×D1112yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
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—114no—
1647C22—222no—
1648C22—222no—
1649C22—222no—
1650C22—222no—
1651C22—222no—
1652C22—222no—
1653C22—222no—
1654C22—222no—
1655C22—222no—
1656C22—222no—
1657C22—222no—
1658C22—222no—
1659C22—4416no—
1660C22—441no—
1661C22—441no—
1662C22—441no—
1663C22—441no—
1664C22—441no—
1665C22—441no—
1666C22—441no—
1667C22—441no—
1668C22C22×D4×D1111yescharacteristic
1669C22C2×#41×D1111yescharacteristic
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—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—114no—
1688C4—222no—
1689C4—222no—
1690C4—222no—
1691C4—222no—
1692C4—222no—
1693C4—441no—
1694C4—441no—
1695C4—441no—
1696C4—441no—
1697C4—441no—
1698C4—441no—
1699C4—441no—
1700C2—42no—
1701C2—42no—
1702C2—81no—
1703C2—224no—
1704C2—442no—
1705C2—442no—
1706C2D11×#52511yescharacteristic
1707C2#1308191011yescharacteristic
1708C2#1308203111yescharacteristic
1709C2D11×#54611yescharacteristic
1710C2#1308210011yescharacteristic
1711C2#1308217311yescharacteristic
1712C2#1308222311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2476C2
hypercenter#2476D11
hypocenterC11#34732
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2476

Complements

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

NH ≅ G/Ntype
1. C2×#10623137C2semidirect
2. C2×#10623053C2semidirect
3. #13072817C2semidirect
4. #13072729C2semidirect
5. #13072706C2semidirect
6. #13072641C2semidirect
7. #13072618C2semidirect
8. #13072544C2semidirect
9. #13072521C2semidirect
10. #13072441C2semidirect
11. #13072359C2semidirect
12. #13072297C2semidirect
13. #13072223C2semidirect
14. #13072145C2semidirect
15. #13072071C2semidirect
16. #13071998C2semidirect
17. #13071933C2semidirect
18. #13071904C2semidirect
19. #13071893C2semidirect
20. #13071859C2semidirect
21. #13071830C2semidirect
22. #13071143C2semidirect
23. #13071141C2semidirect
24. #13071132C2semidirect
25. #13071128C2semidirect
26. #13071117C2semidirect
27. #13071101C2semidirect
28. #13071058C2semidirect
29. #13071054C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2476C2semidirect
36. C2×C11×#117C22semidirect
45. C22×C4×Dic11C22semidirect
53. C2×#66940C22semidirect
54. C2×#66940C22semidirect
64. C2×(C22⋊D11)⋊C4C22semidirect
65. C2×(C22⋊D11)⋊C4C22semidirect
66. C2×(C22⋊D11)⋊C4C22semidirect
69. C2×#66930C22semidirect
71. C2×#66925C22semidirect
74. C2×C42×D11C22semidirect
75. C11×#398C22semidirect
78. C11×#394C22semidirect
80. C11×#388C22semidirect
81. C11×#388C22semidirect
82. C11×#388C22semidirect
83. C11×#387C22semidirect
85. C11×#386C22semidirect
89. #10622836C22semidirect
91. #10622833C22semidirect
94. #10622823C22semidirect
98. #10622607C22semidirect
104. #10622602C22semidirect
105. #10622600C22semidirect
106. #10622599C22semidirect
107. #10622597C22semidirect
108. #10622594C22semidirect
109. #10622592C22semidirect
110. C4⋊C4×Dic11C22semidirect
111. C4⋊C4×Dic11C22semidirect
112. #10622585C22semidirect
113. #10622574C22semidirect
122. #10622570C22semidirect
128. #10622569C22semidirect
131. #10622565C22semidirect
132. #10622565C22semidirect
133. #10622564C22semidirect
136. #10622560C22semidirect
140. #10622558C22semidirect
141. #10622557C22semidirect
142. #10622556C22semidirect
146. C22⋊C4×Dic11C22semidirect
147. C22⋊C4×Dic11C22semidirect
148. C22⋊C4×Dic11C22semidirect
149. C22⋊C4×Dic11C22semidirect
151. #10622553C22semidirect
154. #10622546C22semidirect
155. #10622546C22semidirect
156. #10622541C22semidirect
158. #10622286C22semidirect
161. #10622281C22semidirect
167. #10622279C22semidirect
176. #10622273C22semidirect
177. #10622272C22semidirect
178. #10622270C22semidirect
179. #10622269C22semidirect
180. #10622268C22semidirect
181. #10622268C22semidirect
182. #10622266C22semidirect
183. #10622265C22semidirect
184. #10622262C22semidirect
185. #10622262C22semidirect
186. #10622261C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
346. (C22⋊D11)⋊C4D4semidirect
485. C2×D44#41semidirect
518. C2×C4×D11#41semidirect
519. C2×C4×D11#41semidirect
559. C22⋊Dic11#41semidirect
616. #2476D11semidirect
836. C2×#117C2×D11semidirect
849. #398C2×D11semidirect
866. #394C2×D11semidirect
892. #388C2×D11semidirect
893. #388C2×D11semidirect
894. #388C2×D11semidirect
902. #387C2×D11semidirect
919. #386C2×D11semidirect
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×#106230532
#130728172
#130727292
#130727062
#130726412
#130726182
#130725442
#130725212
#130724412
#130723592
#130722972
#130722232
#130721452
#130720712
#130719982
#130719332
#130719042
#130718932
#130718592
#130718302
#130711432
#130711412
#130711322
#130711282
#130711172
#130711012
#130710582
#130710542
C4×C22⋊C4×D112
C11×#24762
#3473211