Finite Group Databasebeta

← #14921547

Subgroups — #14921547

Order 2816.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623237C211yesmaximal, characteristic, complemented
2C22×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
3#13072877C211yesmaximal, characteristic, complemented
4#13072759C211yesmaximal, characteristic, complemented
5#13072736C211yesmaximal, characteristic, complemented
6#13072671C211yesmaximal, characteristic, complemented
7#13072648C211yesmaximal, characteristic, complemented
8#13072574C211yesmaximal, characteristic, complemented
9#13072551C211yesmaximal, characteristic, complemented
10#13072435C211yesmaximal, characteristic, complemented
11#13072361C211yesmaximal, characteristic, complemented
12#13072281C211yesmaximal, characteristic, complemented
13#13072170C211yesmaximal, characteristic, complemented
14#13072088C211yesmaximal, characteristic, complemented
15#13072009C211yesmaximal, characteristic, complemented
16#13071992C211yesmaximal, characteristic
17#13071941C211yesmaximal, characteristic, complemented
18#13071901C211yesmaximal, characteristic, complemented
19#13071874C211yesmaximal, characteristic, complemented
20#13071861C211yesmaximal, characteristic, complemented
21#13071853C211yesmaximal, characteristic, complemented
22#13071144C211yesmaximal, characteristic, complemented
23#13071143C211yesmaximal, characteristic, complemented
24#13071128C211yesmaximal, characteristic, complemented
25#13071117C211yesmaximal, characteristic, complemented
26#13071115C211yesmaximal, characteristic, complemented
27#13071058C211yesmaximal, characteristic, complemented
28#13071052C211yesmaximal, characteristic, complemented
29#13070994C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2480C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C24×Dic11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×#126C2211yescharacteristic, complemented
36C22×C11×C22⋊C4C2211yescharacteristic
37C2×#67006C2211yescharacteristic
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C2×#66977C2211yescharacteristic
40C22×Dic11⋊C4C2211yescharacteristic
41C22×C4×Dic11C2211yescharacteristic
42#10623237—28no—
43C2×#66949C2211yescharacteristic, complemented
44C2×#66947C2211yescharacteristic, complemented
45C2×#66946C2211yescharacteristic, complemented
46C2×#66946C2211yescharacteristic, complemented
47C2×#66945C2211yescharacteristic, complemented
48C2×#66942C2211yescharacteristic, complemented
49C2×#66940C2211yescharacteristic, complemented
50C2×#66938C2211yescharacteristic, complemented
51C2×#66937C2211yescharacteristic
52C2×#66937C2211yescharacteristic
53C2×#66936C2211yescharacteristic
54C2×#66936C2211yescharacteristic
55C2×#66935C2211yescharacteristic
56C2×(C22⋊D11)⋊C4—28no—
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×(C22⋊D11)⋊C4C2211yescharacteristic
59C2×(C22⋊D11)⋊C4C2211yescharacteristic
60C2×(C22⋊D11)⋊C4C2211yescharacteristic
61C2×(C22⋊D11)⋊C4C2211yescharacteristic
62C2×(C22⋊D11)⋊C4C2211yescharacteristic
63C2×(C22⋊D11)⋊C4C2211yescharacteristic
64C2×(C22⋊D11)⋊C4C2211yescharacteristic
65C2×(C22⋊D11)⋊C4C2211yescharacteristic
66C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
67C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
68C2×C22⋊C4×D11C2211yescharacteristic
69C2×C22⋊C4×D11C2211yescharacteristic
70C2×#66930C2211yescharacteristic, complemented
71C2×#66930C2211yescharacteristic, complemented
72C2×#66929C2211yescharacteristic, complemented
73C2×C42×D11C2211yescharacteristic, complemented
74C2×C42×D11C2211yescharacteristic, complemented
75C11×#397C2211yescharacteristic, complemented
76C11×#397C2211yescharacteristic, complemented
77C11×#397C2211yescharacteristic, complemented
78C11×#396C2211yescharacteristic, complemented
79C11×#388C2211yescharacteristic, complemented
80C11×#388C2211yescharacteristic, complemented
81C11×#388C2211yescharacteristic, complemented
82C11×#385C2211yescharacteristic
83C11×#385C2211yescharacteristic
84C11×#380C2211yescharacteristic
85C11×#379C2211yescharacteristic
86C11×#379C2211yescharacteristic
87C4×C11×C22⋊C4C2211yescharacteristic
88#10622860C2211yescharacteristic
89#10622826C2211yescharacteristic
90#10622826C2211yescharacteristic
91C4×C22⋊Dic11C2211yescharacteristic
92#10622607C2211yescharacteristic, complemented
93#10622606C2211yescharacteristic, complemented
94#10622605C2211yescharacteristic, complemented
95#10622604C2211yescharacteristic, complemented
96#10622603C2211yescharacteristic, complemented
97#10622602C2211yescharacteristic, complemented
98#10622602C2211yescharacteristic, complemented
99#10622602C2211yescharacteristic, complemented
100#10622602C2211yescharacteristic, complemented
101#10622597C2211yescharacteristic, complemented
102#10622593C2211yescharacteristic, complemented
103#10622591C2211yescharacteristic, complemented
104C4⋊C4×Dic11C2211yescharacteristic, complemented
105C4⋊C4×Dic11C2211yescharacteristic, complemented
106#10622587C2211yescharacteristic, complemented
107#10622586C2211yescharacteristic, complemented
108#10622585C2211yescharacteristic, complemented
109#10622574C2211yescharacteristic
110#10622574C2211yescharacteristic
111#10622574C2211yescharacteristic, complemented
112#10622573C2211yescharacteristic
113#10622573C2211yescharacteristic
114#10622572C2211yescharacteristic
115#10622572C2211yescharacteristic
116#10622572C2211yescharacteristic
117#10622572C2211yescharacteristic
118#10622572C2211yescharacteristic, complemented
119#10622571C2211yescharacteristic
120#10622571C2211yescharacteristic
121#10622571C2211yescharacteristic, complemented
122#10622571C2211yescharacteristic, complemented
123#10622570C2211yescharacteristic, complemented
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622568C2211yescharacteristic
129#10622565C2211yescharacteristic, complemented
130#10622564C2211yescharacteristic, complemented
131#10622563C2211yescharacteristic
132#10622560C2211yescharacteristic, complemented
133#10622559C2211yescharacteristic
134#10622559C2211yescharacteristic
135#10622559C2211yescharacteristic
136#10622559C2211yescharacteristic, complemented
137#10622559C2211yescharacteristic, complemented
138#10622557C2211yescharacteristic, complemented
139#10622556C2211yescharacteristic, complemented
140#10622556C2211yescharacteristic, complemented
141#10622555C2211yescharacteristic
142#10622555C2211yescharacteristic
143#10622555C2211yescharacteristic, complemented
144#10622555C2211yescharacteristic, complemented
145C22⋊C4×Dic11C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147C22⋊C4×Dic11C2211yescharacteristic
148C22⋊C4×Dic11C2211yescharacteristic, complemented
149C22⋊C4×Dic11C2211yescharacteristic, complemented
150C22⋊C4×Dic11C2211yescharacteristic, complemented
151C22⋊C4×Dic11C2211yescharacteristic, complemented
152#10622553C2211yescharacteristic, complemented
153C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
154C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
155#10622546C2211yescharacteristic, complemented
156#10622546C2211yescharacteristic, complemented
157#10622289C2211yescharacteristic, complemented
158#10622289C2211yescharacteristic, complemented
159#10622288C2211yescharacteristic, complemented
160#10622288C2211yescharacteristic, complemented
161#10622286C2211yescharacteristic, complemented
162#10622285C2211yescharacteristic, complemented
163#10622283C2211yescharacteristic, complemented
164#10622281C2211yescharacteristic, complemented
165#10622280C2211yescharacteristic, complemented
166#10622279C2211yescharacteristic, complemented
167#10622279C2211yescharacteristic, complemented
168#10622279C2211yescharacteristic, complemented
169#10622279C2211yescharacteristic, complemented
170#10622279C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174#10622277C2211yescharacteristic, complemented
175D11×#95C2211yescharacteristic, complemented
176D11×#95C2211yescharacteristic, complemented
177#10622271C2211yescharacteristic, complemented
178#10622271C2211yescharacteristic, complemented
179#10622271C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, complemented
186#10622262C2211yescharacteristic, complemented
187#10622262C2211yescharacteristic, complemented
188#10622261C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11—24no—
194C22×C22⋊D11—24no—
195C22×C22⋊D11—24no—
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C23×Dic11—24no—
204C23×Dic11—24no—
205C23×Dic11—42no—
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C22×C4×D11—24no—
216C22×C4×D11—24no—
217C22×C4×D11—42no—
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×Dic22C2311yescharacteristic
228C11×#126—24no—
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4—24no—
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊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×C11×C22⋊C4C2311yescharacteristic
252C2×C42×C11C2311yescharacteristic
253C2×C42×C11C2311yescharacteristic
254#67006—24no—
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×(C2×D11)⋊C4—24no—
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291#66977—24no—
292C2×Dic11⋊C4—24no—
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×C4×Dic11—24no—
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
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
324#66949—24no—
325#66947—24no—
326#66946—24no—
327#66946—42no—
328#66945—24no—
329#66942—24no—
330#66940—24no—
331#66938—24no—
332#66937—24no—
333#66937—24no—
334#66936—24no—
335#66936—24no—
336#66935—24no—
337(C22⋊D11)⋊C4—24no—
338(C22⋊D11)⋊C4—24no—
339(C22⋊D11)⋊C4—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—24no—
345(C22⋊D11)⋊C4—24no—
346(C22⋊D11)⋊C4—42no—
347(C22⋊D11)⋊C4D418yescomplemented
348C22⋊C4×D11—24no—
349C22⋊C4×D11—24no—
350#66930—24no—
351#66930—42no—
352#66929—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#34670—111nomaximal, Sylow
392C24×C11—22no—
393C24×C11—22no—
394C24×C11—22no—
395C24×C11—22no—
396C24×C11—22no—
397C24×C11—41no—
398C24×C11—41no—
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C24×C11C2411yescharacteristic
402C23×D11—22no—
403C23×D11—22no—
404C23×D11—22no—
405C23×D11—22no—
406C23×D11—41no—
407C23×D11—41no—
408C23×D11#4114yes—
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C2×C22⋊D11—232no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—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⋊D11C2×D414yes—
451C2×C22⋊D11#4114yes—
452C22×Dic11—22no—
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—22no—
464C22×Dic11—22no—
465C22×Dic11—22no—
466C22×Dic11—22no—
467C22×Dic11—22no—
468C22×Dic11—41no—
469C22×Dic11—41no—
470C22×Dic11—41no—
471C22×Dic11—416no—
472C22×Dic11C2×D414yes—
473C22×Dic11#4114yes—
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C2×D44—22no—
488C2×D44—22no—
489C2×D44—22no—
490C2×D44—22no—
491C2×D44—41no—
492C2×D44—41no—
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—22no—
510C2×C4×D11—22no—
511C2×C4×D11—22no—
512C2×C4×D11—22no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11—41no—
518C2×C4×D11—41no—
519C2×C4×D11—416no—
520C2×C4×D11C2×D414yes—
521C2×Dic22—22no—
522C2×Dic22—22no—
523C2×Dic22—41no—
524C11×C4⋊C4—22no—
525C11×C4⋊C4—22no—
526C11×C4⋊C4—22no—
527C11×C4⋊C4—41no—
528C11×C4⋊C4—41no—
529C11×C4⋊C4—41no—
530C11×C22⋊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—22no—
540C11×C22⋊C4—22no—
541C11×C22⋊C4—41no—
542C11×C22⋊C4—41no—
543C11×C22⋊C4—41no—
544C11×C22⋊C4—41no—
545C11×C22⋊C4C2×D414yes—
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—41no—
555C22⋊Dic11—41no—
556C22⋊Dic11#4114yes—
557(C2×D11)⋊C4—22no—
558(C2×D11)⋊C4—22no—
559(C2×D11)⋊C4—22no—
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—41no—
575(C2×D11)⋊C4—41no—
576(C2×D11)⋊C4—41no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4C2×D414yes—
580C4⋊Dic11—22no—
581C4⋊Dic11—22no—
582C4⋊Dic11—22no—
583Dic11⋊C4—22no—
584Dic11⋊C4—22no—
585Dic11⋊C4—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—22no—
595Dic11⋊C4—22no—
596Dic11⋊C4—41no—
597Dic11⋊C4—41no—
598Dic11⋊C4—41no—
599Dic11⋊C4C2×D414yes—
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×#529—111no—
614C22×C4×D4—111no—
615#2481—111no—
616#2480D1111yescharacteristic, complemented
617#2473—111no—
618#2472—111no—
619#2467—111no—
620#2466—111no—
621#2460—111no—
622#2459—111no—
623#2450—111no—
624#2444—111no—
625#2437—111no—
626#2425—111no—
627#2419—111no—
628#2412—111no—
629#2410—111no—
630#2405—111no—
631#2398—111no—
632#2395—111no—
633#2392—111no—
634#2392—111no—
635C4×C22⋊Q8—111no—
636C4×#123—111no—
637C4×#121—111no—
638C4×#120—111no—
639C4×#120—111no—
640#2290—111no—
641#2290—111no—
642#2280—111no—
643C2×C4×C22⋊C4—111no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—28no—
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—44no—
662C23×C11—44no—
663C23×C11—44no—
664C23×C11—44no—
665C23×C11—44no—
666C23×C11—44no—
667C23×C11C22×D412yes—
668C23×C11C2×#4112yes—
669C23×C11C2×#4112yes—
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—28no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—44no—
693C22×D11—44no—
694C22×D11—44no—
695C22×D11—44no—
696C22×D11—44no—
697C22×D11C22×D412yes—
698C22×D11C2×#4112yes—
699C22×D11C2×#4112yes—
700C22×D11C2×#4112yes—
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—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—44no—
736C2×C4×C11—44no—
737C2×C4×C11C22×D412yes—
738C2×C4×C11C22×D412yes—
739C22⋊D11—28no—
740C22⋊D11—28no—
741C22⋊D11—28no—
742C22⋊D11—28no—
743C22⋊D11—44no—
744C22⋊D11—44no—
745C22⋊D11—44no—
746C2×Dic11—28no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—28no—
760C2×Dic11—28no—
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—44no—
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×Dic11C2×#4112yes—
790C2×Dic11C2×#4112yes—
791C2×Dic11H(5,𝔽2)12yes—
792D44—44no—
793D44—44no—
794C4×D11—28no—
795C4×D11—44no—
796C4×D11—44no—
797C4×D11—44no—
798C4×D11—44no—
799C4×D11—44no—
800C4×D11—44no—
801C4×D11—44no—
802C4×D11—44no—
803Dic22—44no—
804C23×D4—111no—
805C24×C4—111no—
806C24×C4—111no—
807#529—228no—
808C2×#126—111no—
809C2×#126C2×D1111yescharacteristic, complemented
810C2×#125—111no—
811C2×#124—111no—
812C2×#123—111no—
813C2×#123—111no—
814C2×#123—111no—
815C2×C22⋊Q8—111no—
816C2×C22⋊Q8—111no—
817C2×#121—111no—
818C2×#121—111no—
819C2×#120—111no—
820C2×#120—111no—
821C2×C4×Q8—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×C4×D4—111no—
833C2×C4×D4—111no—
834C2×C4×D4—111no—
835C2×C4×D4—228no—
836C2×#117—111no—
837C2×#117—111no—
838C2×#117—111no—
839C22×C4⋊C4—111no—
840C22×C22⋊C4—111no—
841C22×C22⋊C4—111no—
842C22×C22⋊C4—111no—
843C22×C22⋊C4C2×D1111yescharacteristic
844C22×C42—111no—
845C22×C42—111no—
846C22×C42—111no—
847#400—111no—
848#400—111no—
849#400—111no—
850#399—111no—
851#398—111no—
852#398—111no—
853#398—111no—
854#397—111no—
855#397—111no—
856#397—111no—
857#397—111no—
858#397C2×D1111yescharacteristic, complemented
859#397C2×D1111yescharacteristic, complemented
860#397C2×D1111yescharacteristic, complemented
861#396—111no—
862#396—111no—
863#396—111no—
864#396C2×D1111yescharacteristic, complemented
865#394—111no—
866#394—111no—
867#394—111no—
868#394—111no—
869#394—111no—
870#394—111no—
871#394—111no—
872#394—111no—
873#394—111no—
874#394—111no—
875#393—111no—
876#393—111no—
877#392—111no—
878#392—111no—
879#391—111no—
880#390—111no—
881#389—111no—
882#389—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388C2×D1111yescharacteristic, complemented
889#388C2×D1111yescharacteristic, complemented
890#388C2×D1111yescharacteristic, complemented
891#387—111no—
892#387—111no—
893#387—111no—
894#387—111no—
895#387—111no—
896#387—111no—
897#387—111no—
898#387—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#385—111no—
913#385—111no—
914#385—111no—
915#385—111no—
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#385—111no—
921#385—111no—
922#385—111no—
923#385C2×D1111yescharacteristic
924#385C2×D1111yescharacteristic
925#381—111no—
926#381—111no—
927#381—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#380—111no—
932#380—111no—
933#380C2×D1111yescharacteristic
934#379—111no—
935#379—111no—
936#379C2×D1111yescharacteristic
937#379C2×D1111yescharacteristic
938C4×C4⋊C4—111no—
939C4×C4⋊C4—111no—
940C4×C4⋊C4—111no—
941C4×C4⋊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⋊C4—111no—
954C4×C22⋊C4—111no—
955C4×C22⋊C4—111no—
956C4×C22⋊C4—111no—
957C4×C22⋊C4C2×D1111yescharacteristic
958#376—111no—
959C2×#95—111no—
960C2×#95—111no—
961C22×C11—22no—
962C22×C11—22no—
963C22×C11—22no—
964C22×C11—22no—
965C22×C11—22no—
966C22×C11—22no—
967C22×C11—22no—
968C22×C11—22no—
969C22×C11—22no—
970C22×C11—22no—
971C22×C11—22no—
972C22×C11—22no—
973C22×C11—416no—
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#52914yescomplemented
983C22×C11C23×D411yescharacteristic
984C22×C11C22×#4111yescharacteristic
985C22×C11C22×#4111yescharacteristic
986C22×C11C22×#4111yescharacteristic
987C22×C11C22×#4111yescharacteristic
988C22×C11C2×H(5,𝔽2)11yescharacteristic
989C22×C11#58511yescharacteristic
990C2×D11—22no—
991C2×D11—22no—
992C2×D11—22no—
993C2×D11—22no—
994C2×D11—22no—
995C2×D11—22no—
996C2×D11—22no—
997C2×D11—22no—
998C2×D11—22no—
999C2×D11—416no—
1000C2×D11—41no—
1001C2×D11—41no—
1002C2×D11—41no—
1003C2×D11—41no—
1004C2×D11—41no—
1005C2×D11—41no—
1006C2×D11—41no—
1007C2×D11—41no—
1008C2×D11—41no—
1009C2×D11—41no—
1010C2×D11—41no—
1011C2×D11#52514yes—
1012C4×C11—22no—
1013C4×C11—22no—
1014C4×C11—41no—
1015C4×C11—41no—
1016C4×C11—41no—
1017C4×C11—41no—
1018C4×C11—41no—
1019C4×C11—41no—
1020C4×C11—41no—
1021C4×C11—41no—
1022C4×C11—41no—
1023C4×C11—41no—
1024Dic11—22no—
1025Dic11—22no—
1026Dic11—22no—
1027Dic11—22no—
1028Dic11—22no—
1029Dic11—22no—
1030Dic11—41no—
1031Dic11—41no—
1032Dic11—41no—
1033Dic11—41no—
1034Dic11—41no—
1035Dic11—41no—
1036Dic11#54614yes—
1037C25—111no—
1038C25C22×D1111yescharacteristic
1039C22×Q8—111no—
1040C22×D4—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—224no—
1050C22×D4—224no—
1051C22×D4—224no—
1052C23×C4—111no—
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—224no—
1071C23×C4—224no—
1072C23×C4—442no—
1073C23×C4—442no—
1074C23×C4C22×D1111yescharacteristic
1075C23×C4C22×D1111yescharacteristic
1076#126—24no—
1077#126—224no—
1078#125—224no—
1079#124—224no—
1080#123—224no—
1081#123—224no—
1082#123—224no—
1083C22⋊Q8—224no—
1084C22⋊Q8—224no—
1085#121—224no—
1086#121—224no—
1087#120—224no—
1088#120—224no—
1089C4×Q8—224no—
1090C4×D4—118no—
1091C4×D4—224no—
1092C4×D4—224no—
1093C4×D4—224no—
1094C4×D4—224no—
1095C4×D4—224no—
1096C4×D4—224no—
1097C4×D4—224no—
1098C4×D4—224no—
1099C4×D4—224no—
1100C4×D4—224no—
1101C4×D4—442no—
1102C4×D4—442no—
1103#117—224no—
1104#117—224no—
1105#117—442no—
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⋊C4—111no—
1125C2×C4⋊C4—111no—
1126C2×C4⋊C4—224no—
1127C2×C4⋊C4C22×D1111yescharacteristic
1128C2×C4⋊C4C22×D1111yescharacteristic
1129C2×C4⋊C4C22×D1111yescharacteristic
1130C2×C4⋊C4C22×D1111yescharacteristic
1131C2×C4⋊C4C22×D1111yescharacteristic
1132C2×C4⋊C4C22×D1111yescharacteristic
1133C2×C22⋊C4—24no—
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—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—111no—
1166C2×C22⋊C4—224no—
1167C2×C22⋊C4—224no—
1168C2×C22⋊C4—224no—
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×C22⋊C4C22×D1111yescharacteristic
1178C2×C22⋊C4C22×D1111yescharacteristic
1179C2×C22⋊C4C22×D1111yescharacteristic
1180C2×C22⋊C4C22×D1111yescharacteristic
1181C2×C22⋊C4C22×D1111yescharacteristic
1182C2×C22⋊C4C22×D1111yescharacteristic
1183C2×C22⋊C4C22×D1111yescharacteristic
1184C2×C22⋊C4C22×D1111yescharacteristic
1185C2×C42—111no—
1186C2×C42—111no—
1187C2×C42—111no—
1188C2×C42—111no—
1189C2×C42—111no—
1190C2×C42—111no—
1191C2×C42—111no—
1192C2×C42—111no—
1193C2×C42—111no—
1194C2×C42—111no—
1195C2×C42—111no—
1196C2×C42—111no—
1197C2×C42—111no—
1198C2×C42—224no—
1199C2×C42—224no—
1200C2×C42—442no—
1201C2×C42C22×D1111yescharacteristic
1202C2×C42C22×D1111yescharacteristic
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#95—111no—
1229#95—111no—
1230#95—111no—
1231#95C22×D1111yescharacteristic
1232#95C22×D1111yescharacteristic
1233#95C22×D1111yescharacteristic
1234#95C22×D1111yescharacteristic
1235#95C22×D1111yescharacteristic
1236#95C22×D1111yescharacteristic
1237#95C22×D1111yescharacteristic
1238#95C22×D1111yescharacteristic
1239C2×C11—24no—
1240C2×C11—42no—
1241C2×C11—42no—
1242C2×C11C2×#52511yescharacteristic
1243C2×C11C2×#52911yescharacteristic
1244C2×C11#345911yescharacteristic
1245C2×C11C2×#54611yescharacteristic
1246C2×C11D4×#4111yescharacteristic
1247C2×C11#347511yescharacteristic
1248C2×C11#348111yescharacteristic
1249D11—24no—
1250D11—42no—
1251D11—81no—
1252C24—22no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—41no—
1258C24—41no—
1259C24—111no—
1260C24—111no—
1261C24—114no—
1262C24—111no—
1263C24—222no—
1264C24—222no—
1265C24—222no—
1266C24—222no—
1267C24—441no—
1268C24—441no—
1269C24C23×D1111yescharacteristic
1270C24C23×D1111yescharacteristic
1271C24C23×D1111yescharacteristic
1272C2×Q8—222no—
1273C2×Q8—222no—
1274C2×Q8—441no—
1275C2×D4—114no—
1276C2×D4—114no—
1277C2×D4—222no—
1278C2×D4—222no—
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—2232no—
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—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—111no—
1310C22×C4—114no—
1311C22×C4—114no—
1312C22×C4—111no—
1313C22×C4—111no—
1314C22×C4—111no—
1315C22×C4—111no—
1316C22×C4—111no—
1317C22×C4—111no—
1318C22×C4—114no—
1319C22×C4—111no—
1320C22×C4—111no—
1321C22×C4—111no—
1322C22×C4—111no—
1323C22×C4—111no—
1324C22×C4—111no—
1325C22×C4—222no—
1326C22×C4—222no—
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—222no—
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×C4—441no—
1370C22×C4—441no—
1371C22×C4—4416no—
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
1381C22×C4C23×D1111yescharacteristic
1382C22×C4C23×D1111yescharacteristic
1383C22×C4C23×D1111yescharacteristic
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—41no—
1388C4⋊C4—41no—
1389C4⋊C4—41no—
1390C4⋊C4—114no—
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—222no—
1402C4⋊C4—222no—
1403C4⋊C4—222no—
1404C4⋊C4—222no—
1405C4⋊C4—222no—
1406C4⋊C4—222no—
1407C4⋊C4—441no—
1408C4⋊C4—441no—
1409C4⋊C4—441no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—114no—
1426C22⋊C4—114no—
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—222no—
1445C22⋊C4—222no—
1446C22⋊C4—222no—
1447C22⋊C4—222no—
1448C22⋊C4—222no—
1449C22⋊C4—222no—
1450C22⋊C4—441no—
1451C22⋊C4—441no—
1452C22⋊C4—441no—
1453C22⋊C4—441no—
1454C22⋊C4—441no—
1455C22⋊C4—441no—
1456C22⋊C4—441no—
1457C22⋊C4D4×D1114yes—
1458C42—22no—
1459C42—41no—
1460C42—114no—
1461C42—222no—
1462C42—222no—
1463C42—222no—
1464C42—222no—
1465C42—222no—
1466C42—222no—
1467C42—222no—
1468C42—222no—
1469C42—222no—
1470C42—222no—
1471C42—222no—
1472C42—441no—
1473C11#3467011yescharacteristic, complemented, Sylow
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—28no—
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—44no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—44no—
1497C23—112no—
1498C23—112no—
1499C23—112no—
1500C23—112no—
1501C23—228no—
1502C23—221no—
1503C23—221no—
1504C23—221no—
1505C23—221no—
1506C23—228no—
1507C23—221no—
1508C23—221no—
1509C23—221no—
1510C23—221no—
1511C23—221no—
1512C23—221no—
1513C23—221no—
1514C23—221no—
1515C23—221no—
1516C23—221no—
1517C23—221no—
1518C23—221no—
1519C23—221no—
1520C23—444no—
1521C23—444no—
1522C23—444no—
1523C23—444no—
1524C23—444no—
1525C23C2×D4×D1112yes—
1526C23#41×D1112yes—
1527C23#41×D1112yes—
1528C23#41×D1112yes—
1529C23#41×D1112yes—
1530C23C24×D1111yescharacteristic
1531Q8—444no—
1532D4—228no—
1533D4—228no—
1534D4—228no—
1535D4—228no—
1536D4—444no—
1537D4—444no—
1538D4—444no—
1539D4—444no—
1540D4—444no—
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—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—112no—
1578C2×C4—112no—
1579C2×C4—112no—
1580C2×C4—112no—
1581C2×C4—112no—
1582C2×C4—112no—
1583C2×C4—112no—
1584C2×C4—112no—
1585C2×C4—112no—
1586C2×C4—228no—
1587C2×C4—228no—
1588C2×C4—228no—
1589C2×C4—228no—
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—221no—
1612C2×C4—221no—
1613C2×C4—221no—
1614C2×C4—221no—
1615C2×C4—221no—
1616C2×C4—221no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—444no—
1621C2×C4—444no—
1622C2×C4—444no—
1623C2×C4—444no—
1624C2×C4—444no—
1625C2×C4—444no—
1626C2×C4—444no—
1627C2×C4—444no—
1628C2×C4—444no—
1629C2×C4—444no—
1630C2×C4—444no—
1631C2×C4—444no—
1632C2×C4C2×D4×D1112yes—
1633C2×C4C2×D4×D1112yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—416no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—114no—
1656C22—222no—
1657C22—222no—
1658C22—222no—
1659C22—222no—
1660C22—222no—
1661C22—222no—
1662C22—222no—
1663C22—222no—
1664C22—222no—
1665C22—4416no—
1666C22—441no—
1667C22—441no—
1668C22—441no—
1669C22—441no—
1670C22—441no—
1671C22—441no—
1672C22—441no—
1673C22—441no—
1674C22—441no—
1675C22—441no—
1676C22—441no—
1677C22#1062323714yescomplemented
1678C22C22×D4×D1111yescharacteristic
1679C22C2×#41×D1111yescharacteristic
1680C22C2×#41×D1111yescharacteristic
1681C22C2×#41×D1111yescharacteristic
1682C22C2×#41×D1111yescharacteristic
1683C22D11×H(5,𝔽2)11yescharacteristic
1684C22#1062345511yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—114no—
1698C4—222no—
1699C4—222no—
1700C4—222no—
1701C4—222no—
1702C4—222no—
1703C4—222no—
1704C4—441no—
1705C4—441no—
1706C4—441no—
1707C4—441no—
1708C4—441no—
1709C4—441no—
1710C2—24no—
1711C2—42no—
1712C2—42no—
1713C2—224no—
1714C2—442no—
1715C2—881no—
1716C2D11×#52511yescharacteristic
1717C2C2×#1062323711yescharacteristic
1718C2#1308202711yescharacteristic
1719C2D11×#54611yescharacteristic
1720C2#1308210011yescharacteristic
1721C2#1308217111yescharacteristic
1722C2#1308221911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2480C2
prime radical#13071992C2
hypercenter#2480D11
hypocenterC11#34670
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. C2×#10623237C2semidirect
2. C22×(C22⋊D11)⋊C4C2semidirect
3. #13072877C2semidirect
4. #13072759C2semidirect
5. #13072736C2semidirect
6. #13072671C2semidirect
7. #13072648C2semidirect
8. #13072574C2semidirect
9. #13072551C2semidirect
10. #13072435C2semidirect
11. #13072361C2semidirect
12. #13072281C2semidirect
13. #13072170C2semidirect
14. #13072088C2semidirect
15. #13072009C2semidirect
17. #13071941C2semidirect
18. #13071901C2semidirect
19. #13071874C2semidirect
20. #13071861C2semidirect
21. #13071853C2semidirect
22. #13071144C2semidirect
23. #13071143C2semidirect
24. #13071128C2semidirect
25. #13071117C2semidirect
26. #13071115C2semidirect
27. #13071058C2semidirect
28. #13071052C2semidirect
29. #13070994C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2480C2semidirect
35. C2×C11×#126C22semidirect
43. C2×#66949C22semidirect
44. C2×#66947C22semidirect
45. C2×#66946C22semidirect
46. C2×#66946C22semidirect
47. C2×#66945C22semidirect
48. C2×#66942C22semidirect
49. C2×#66940C22semidirect
50. C2×#66938C22semidirect
66. C2×(C22⋊D11)⋊C4C22semidirect
67. C2×(C22⋊D11)⋊C4C22semidirect
70. C2×#66930C22semidirect
71. C2×#66930C22semidirect
72. C2×#66929C22semidirect
73. C2×C42×D11C22semidirect
74. C2×C42×D11C22semidirect
75. C11×#397C22semidirect
76. C11×#397C22semidirect
77. C11×#397C22semidirect
78. C11×#396C22semidirect
79. C11×#388C22semidirect
80. C11×#388C22semidirect
81. C11×#388C22semidirect
92. #10622607C22semidirect
93. #10622606C22semidirect
94. #10622605C22semidirect
95. #10622604C22semidirect
96. #10622603C22semidirect
97. #10622602C22semidirect
98. #10622602C22semidirect
99. #10622602C22semidirect
100. #10622602C22semidirect
101. #10622597C22semidirect
102. #10622593C22semidirect
103. #10622591C22semidirect
104. C4⋊C4×Dic11C22semidirect
105. C4⋊C4×Dic11C22semidirect
106. #10622587C22semidirect
107. #10622586C22semidirect
108. #10622585C22semidirect
111. #10622574C22semidirect
118. #10622572C22semidirect
121. #10622571C22semidirect
122. #10622571C22semidirect
123. #10622570C22semidirect
129. #10622565C22semidirect
130. #10622564C22semidirect
132. #10622560C22semidirect
136. #10622559C22semidirect
137. #10622559C22semidirect
138. #10622557C22semidirect
139. #10622556C22semidirect
140. #10622556C22semidirect
143. #10622555C22semidirect
144. #10622555C22semidirect
148. C22⋊C4×Dic11C22semidirect
149. C22⋊C4×Dic11C22semidirect
150. C22⋊C4×Dic11C22semidirect
151. C22⋊C4×Dic11C22semidirect
152. #10622553C22semidirect
153. C4×(C2×D11)⋊C4C22semidirect
154. C4×(C2×D11)⋊C4C22semidirect
155. #10622546C22semidirect
156. #10622546C22semidirect
157. #10622289C22semidirect
158. #10622289C22semidirect
159. #10622288C22semidirect
160. #10622288C22semidirect
161. #10622286C22semidirect
162. #10622285C22semidirect
163. #10622283C22semidirect
164. #10622281C22semidirect
165. #10622280C22semidirect
166. #10622279C22semidirect
167. #10622279C22semidirect
168. #10622279C22semidirect
169. #10622279C22semidirect
170. #10622279C22semidirect
171. #10622278C22semidirect
172. #10622278C22semidirect
173. #10622278C22semidirect
174. #10622277C22semidirect
175. D11×#95C22semidirect
176. D11×#95C22semidirect
177. #10622271C22semidirect
178. #10622271C22semidirect
179. #10622271C22semidirect
180. #10622270C22semidirect
181. #10622268C22semidirect
182. #10622266C22semidirect
183. #10622265C22semidirect
184. #10622265C22semidirect
185. #10622265C22semidirect
186. #10622262C22semidirect
187. #10622262C22semidirect
188. #10622261C22semidirect
347. (C22⋊D11)⋊C4D4semidirect
616. #2480D11semidirect
809. C2×#126C2×D11semidirect
858. #397C2×D11semidirect
859. #397C2×D11semidirect
860. #397C2×D11semidirect
864. #396C2×D11semidirect
888. #388C2×D11semidirect
889. #388C2×D11semidirect
890. #388C2×D11semidirect
982. C22×C11#529semidirect
1473. C11#34670semidirect
1677. C22#10623237semidirect

Maximal subgroups

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

subgroupindex
C2×#106232372
C22×(C22⋊D11)⋊C42
#130728772
#130727592
#130727362
#130726712
#130726482
#130725742
#130725512
#130724352
#130723612
#130722812
#130721702
#130720882
#130720092
#130719922
#130719412
#130719012
#130718742
#130718612
#130718532
#130711442
#130711432
#130711282
#130711172
#130711152
#130710582
#130710522
#130709942
C4×C22⋊C4×D112
C11×#24802
#3467011