Finite Group Databasebeta

← #14926464

Subgroups — #14926464

Order 2816.

2878 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×#10623191C211yesmaximal, characteristic, complemented
2C22×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
3#13076929C211yesmaximal, characteristic, complemented
4#13076924C211yesmaximal, characteristic, complemented
5#13076906C211yesmaximal, characteristic, complemented
6#13076901C211yesmaximal, characteristic, complemented
7#13074535C211yesmaximal, characteristic, complemented
8#13074518C211yesmaximal, characteristic, complemented
9#13074490C211yesmaximal, characteristic, complemented
10#13074456C211yesmaximal, characteristic, complemented
11#13072856C211yesmaximal, characteristic, complemented
12#13072759C211yesmaximal, characteristic, complemented
13#13072650C211yesmaximal, characteristic, complemented
14#13072614C211yesmaximal, characteristic, complemented
15#13072574C211yesmaximal, characteristic, complemented
16#13072495C211yesmaximal, characteristic, complemented
17#13072428C211yesmaximal, characteristic, complemented
18#13072419C211yesmaximal, characteristic, complemented
19#13072344C211yesmaximal, characteristic, complemented
20#13072284C211yesmaximal, characteristic, complemented
21#13072168C211yesmaximal, characteristic, complemented
22#13072088C211yesmaximal, characteristic, complemented
23#13072011C211yesmaximal, characteristic, complemented
24#13071986C211yesmaximal, characteristic
25#13071941C211yesmaximal, characteristic, complemented
26#13071318C211yesmaximal, characteristic, complemented
27#13071286C211yesmaximal, characteristic, complemented
28#13071246C211yesmaximal, characteristic, complemented
29C4×#66990C211yesmaximal, characteristic, complemented
30D11×#385C211yesmaximal, characteristic, complemented
31C11×#2418C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C24×Dic11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×#123C2211yescharacteristic, complemented
36C2×C11×#120C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic
38C22×C11×C22⋊C4C2211yescharacteristic
39C2×#66991C2211yescharacteristic
40C2×#66991C2211yescharacteristic
41C2×#66990C2211yescharacteristic
42C2×#66988C2211yescharacteristic, complemented
43C2×#66988C2211yescharacteristic, complemented
44C2×C4×C22⋊D11C2211yescharacteristic, complemented
45C2×C4×C22⋊D11C2211yescharacteristic, complemented
46C22×(C2×D11)⋊C4C2211yescharacteristic
47C2×#66977C2211yescharacteristic, complemented
48C22×Dic11⋊C4C2211yescharacteristic
49C22×C4×Dic11C2211yescharacteristic
50#10623191—28no—
51C2×#66949C2211yescharacteristic, complemented
52C2×C4⋊C4×D11C2211yescharacteristic, complemented
53C2×C4⋊C4×D11C2211yescharacteristic, complemented
54C2×#66943C2211yescharacteristic, complemented
55C2×#66942C2211yescharacteristic, complemented
56C2×#66936C2211yescharacteristic
57C2×#66936C2211yescharacteristic
58C2×#66936C2211yescharacteristic, complemented
59C2×(C22⋊D11)⋊C4—28no—
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
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×C22⋊C4×D11C2211yescharacteristic
69C2×C22⋊C4×D11C2211yescharacteristic
70C2×#66932C2211yescharacteristic, complemented
71C2×#66932C2211yescharacteristic, complemented
72C2×#66931C2211yescharacteristic
73C2×#66931C2211yescharacteristic, complemented
74C2×#66931C2211yescharacteristic, complemented
75C11×#399C2211yescharacteristic, complemented
76C11×#397C2211yescharacteristic, complemented
77C11×#394C2211yescharacteristic, complemented
78C11×#394C2211yescharacteristic, complemented
79C11×#388C2211yescharacteristic, complemented
80C11×#388C2211yescharacteristic, complemented
81C11×#386C2211yescharacteristic
82C11×#386C2211yescharacteristic, complemented
83C11×#385C2211yescharacteristic
84C11×#380C2211yescharacteristic
85C11×#379C2211yescharacteristic
86#10622860C2211yescharacteristic
87#10622860C2211yescharacteristic
88#10622836C2211yescharacteristic
89#10622836C2211yescharacteristic
90#10622833C2211yescharacteristic
91#10622833C2211yescharacteristic
92#10622833C2211yescharacteristic
93#10622833C2211yescharacteristic, complemented
94#10622833C2211yescharacteristic, complemented
95#10622825C2211yescharacteristic
96#10622823C2211yescharacteristic
97#10622823C2211yescharacteristic
98#10622823C2211yescharacteristic, complemented
99C4×C22⋊Dic11C2211yescharacteristic
100#10622607C2211yescharacteristic, complemented
101#10622605C2211yescharacteristic, complemented
102#10622602C2211yescharacteristic, complemented
103#10622602C2211yescharacteristic, complemented
104#10622602C2211yescharacteristic, complemented
105#10622602C2211yescharacteristic, complemented
106#10622602C2211yescharacteristic, complemented
107#10622598C2211yescharacteristic, complemented
108#10622597C2211yescharacteristic, complemented
109#10622597C2211yescharacteristic, complemented
110#10622593C2211yescharacteristic, complemented
111#10622592C2211yescharacteristic, complemented
112#10622590C2211yescharacteristic, complemented
113#10622586C2211yescharacteristic, complemented
114#10622585C2211yescharacteristic, complemented
115#10622574C2211yescharacteristic
116#10622574C2211yescharacteristic
117#10622574C2211yescharacteristic
118#10622574C2211yescharacteristic
119#10622574C2211yescharacteristic, complemented
120#10622572C2211yescharacteristic
121#10622572C2211yescharacteristic
122#10622572C2211yescharacteristic, complemented
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic, complemented
128#10622569C2211yescharacteristic, complemented
129#10622569C2211yescharacteristic, complemented
130#10622568C2211yescharacteristic
131#10622566C2211yescharacteristic, complemented
132#10622565C2211yescharacteristic, complemented
133#10622565C2211yescharacteristic, complemented
134#10622564C2211yescharacteristic, complemented
135#10622564C2211yescharacteristic, complemented
136#10622563C2211yescharacteristic
137#10622563C2211yescharacteristic
138#10622563C2211yescharacteristic
139#10622563C2211yescharacteristic, complemented
140#10622563C2211yescharacteristic, complemented
141#10622562C2211yescharacteristic, complemented
142#10622561C2211yescharacteristic, complemented
143#10622561C2211yescharacteristic, complemented
144#10622559C2211yescharacteristic
145#10622559C2211yescharacteristic
146#10622559C2211yescharacteristic
147#10622559C2211yescharacteristic
148#10622559C2211yescharacteristic, complemented
149#10622559C2211yescharacteristic, complemented
150#10622559C2211yescharacteristic, complemented
151#10622559C2211yescharacteristic, complemented
152#10622558C2211yescharacteristic, complemented
153#10622558C2211yescharacteristic, complemented
154#10622557C2211yescharacteristic, complemented
155#10622557C2211yescharacteristic, complemented
156#10622556C2211yescharacteristic, complemented
157#10622556C2211yescharacteristic, complemented
158#10622555C2211yescharacteristic
159#10622555C2211yescharacteristic, complemented
160#10622555C2211yescharacteristic, complemented
161C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
163#10622546C2211yescharacteristic, complemented
164#10622541C2211yescharacteristic, complemented
165#10622289C2211yescharacteristic, complemented
166#10622288C2211yescharacteristic, complemented
167#10622287C2211yescharacteristic, complemented
168#10622286C2211yescharacteristic, complemented
169#10622281C2211yescharacteristic, complemented
170#10622281C2211yescharacteristic, complemented
171#10622281C2211yescharacteristic, complemented
172#10622281C2211yescharacteristic, complemented
173#10622280C2211yescharacteristic, complemented
174#10622277C2211yescharacteristic, complemented
175D11×#95C2211yescharacteristic, complemented
176D11×#95C2211yescharacteristic, complemented
177#10622271C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622268C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622267C2211yescharacteristic, complemented
184#10622266C2211yescharacteristic, complemented
185#10622266C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, complemented
187#10622265C2211yescharacteristic, complemented
188#10622264C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11—24no—
198C22×C22⋊D11—24no—
199C22×C22⋊D11—24no—
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C23×Dic11—24no—
207C23×Dic11—42no—
208C23×Dic11—42no—
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C22×C4×D11—24no—
217C22×C4×D11—42no—
218C22×C4×D11—42no—
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×#123—24no—
229C11×#120—42no—
230C4×D4×C11—42no—
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4—24no—
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×C11×C22⋊C4C2311yescharacteristic
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
272#66991—24no—
273#66991—24no—
274#66990—24no—
275#66988—24no—
276#66988—42no—
277C4×C22⋊D11—24no—
278C4×C22⋊D11—42no—
279C2×(C2×D11)⋊C4—24no—
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
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303#66977—24no—
304C2×Dic11⋊C4—24no—
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×C4×Dic11—24no—
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332#66949—24no—
333C4⋊C4×D11—24no—
334C4⋊C4×D11—42no—
335#66943—24no—
336#66942—24no—
337#66936—24no—
338#66936—24no—
339#66936—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—24no—
347(C22⋊D11)⋊C4D418yescomplemented
348C22⋊C4×D11—24no—
349C22⋊C4×D11—42no—
350#66932—24no—
351#66932—24no—
352#66931—24no—
353#66931—42no—
354#66931—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#34991—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
402C24×C11C2411yescharacteristic
403C23×D11—22no—
404C23×D11—22no—
405C23×D11—22no—
406C23×D11—22no—
407C23×D11—41no—
408C23×D11—41no—
409C23×D11#4114yes—
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C22×C4×C11—22no—
422C22×C4×C11—22no—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—22no—
426C22×C4×C11—41no—
427C22×C4×C11—41no—
428C22×C4×C11—41no—
429C22×C4×C11—41no—
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
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
441C2×C22⋊D11—232no—
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—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⋊D11C2×D414yes—
459C2×C22⋊D11#4114yes—
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—22no—
469C22×Dic11—22no—
470C22×Dic11—22no—
471C22×Dic11—22no—
472C22×Dic11—22no—
473C22×Dic11—41no—
474C22×Dic11—41no—
475C22×Dic11—41no—
476C22×Dic11—41no—
477C22×Dic11—41no—
478C22×Dic11—41no—
479C22×Dic11—41no—
480C22×Dic11—416no—
481C22×Dic11C2×D414yes—
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492C22×Dic11C2411yescharacteristic
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
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—41no—
508C2×C4×D11—41no—
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—41no—
517C2×C4×D11—41no—
518C2×C4×D11—41no—
519C2×C4×D11—416no—
520C2×C4×D11C2×D414yes—
521C2×Dic22—22no—
522C2×Dic22—41no—
523C2×Dic22—41no—
524C11×C4⋊C4—22no—
525C11×C4⋊C4—22no—
526C11×C4⋊C4—41no—
527C11×C4⋊C4—41no—
528C11×C4⋊C4—41no—
529C11×C22⋊C4—22no—
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—41no—
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—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—22no—
559C22⋊Dic11—41no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562C22⋊Dic11—41no—
563C22⋊Dic11—41no—
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—41no—
574(C2×D11)⋊C4—41no—
575(C2×D11)⋊C4—41no—
576(C2×D11)⋊C4—41no—
577(C2×D11)⋊C4C2×D414yes—
578C4⋊Dic11—22no—
579C4⋊Dic11—22no—
580C4⋊Dic11—22no—
581C4⋊Dic11—22no—
582C4⋊Dic11—22no—
583C4⋊Dic11—22no—
584C4⋊Dic11—22no—
585C4⋊Dic11—41no—
586C4⋊Dic11—41no—
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—22no—
597Dic11⋊C4—22no—
598Dic11⋊C4—22no—
599Dic11⋊C4—22no—
600Dic11⋊C4—41no—
601Dic11⋊C4—41no—
602Dic11⋊C4—41no—
603Dic11⋊C4—41no—
604Dic11⋊C4—41no—
605Dic11⋊C4—41no—
606Dic11⋊C4C2×D414yes—
607C4×Dic11—22no—
608C4×Dic11—22no—
609C4×Dic11—22no—
610C4×Dic11—22no—
611C4×Dic11—41no—
612C4×Dic11C2×D414yes—
613C2×#539—111no—
614C22×C4×D4—111no—
615#2852—111no—
616#2851—111no—
617#2849—111no—
618#2848—111no—
619#2638—111no—
620#2636—111no—
621#2633—111no—
622#2630—111no—
623#2480—111no—
624#2473—111no—
625#2466—111no—
626#2463—111no—
627#2460—111no—
628#2455—111no—
629#2449—111no—
630#2449—111no—
631#2443—111no—
632#2437—111no—
633#2425—111no—
634#2419—111no—
635#2418D1111yescharacteristic, complemented
636#2412—111no—
637#2410—111no—
638#2405—111no—
639#2325—111no—
640#2322—111no—
641#2318—111no—
642C4×#120—111no—
643C2×#385—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—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—44no—
669C23×C11—44no—
670C23×C11—44no—
671C23×C11—44no—
672C23×C11—44no—
673C23×C11—44no—
674C23×C11C22×D412yes—
675C23×C11C2×#4112yes—
676C23×C11C2×#4112yes—
677C23×C11H(5,𝔽2)12yes—
678C23×C112−1+412yes—
679C23×C11C2511yescharacteristic
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—28no—
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—
701D4×C11—44no—
702D4×C11—82no—
703D4×C11—82no—
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×C11—82no—
738C2×C4×C11C22×D412yes—
739C2×C4×C11C22×D412yes—
740C22⋊D11—28no—
741C22⋊D11—28no—
742C22⋊D11—28no—
743C22⋊D11—28no—
744C22⋊D11—44no—
745C22⋊D11—44no—
746C2×Dic11—28no—
747C2×Dic11—28no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—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—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—44no—
786C2×Dic11—44no—
787C2×Dic11—44no—
788C2×Dic11—44no—
789C2×Dic11—44no—
790C2×Dic11C22×D412yes—
791C2×Dic11C22×D412yes—
792C2×Dic11C22×D412yes—
793C2×Dic11C2×#4112yes—
794C2×Dic11H(5,𝔽2)12yes—
795C4×D11—44no—
796C4×D11—44no—
797C4×D11—44no—
798C4×D11—44no—
799C4×D11—44no—
800C4×D11—44no—
801C4×D11—82no—
802C4×D11—82no—
803Dic22—82no—
804C23×D4—111no—
805C24×C4—111no—
806C24×C4—111no—
807#539—228no—
808C2×#126—111no—
809C2×#126—111no—
810C2×#125—111no—
811C2×#125—111no—
812C2×#123—111no—
813C2×#123—111no—
814C2×#123—111no—
815C2×#123—111no—
816C2×#123—111no—
817C2×#123C2×D1111yescharacteristic, complemented
818C2×C22⋊Q8—111no—
819C2×C22⋊Q8—111no—
820C2×C22⋊Q8—111no—
821C2×C22⋊Q8—111no—
822C2×C22⋊Q8—111no—
823C2×#121—111no—
824C2×#121—111no—
825C2×#120—111no—
826C2×#120C2×D1111yescharacteristic
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—111no—
836C2×C4×D4—111no—
837C2×C4×D4—228no—
838C2×C4×D4C2×D1111yescharacteristic
839C22×C4⋊C4—111no—
840C22×C4⋊C4—111no—
841C22×C4⋊C4—111no—
842C22×C22⋊C4—111no—
843C22×C22⋊C4—111no—
844C22×C22⋊C4—111no—
845C22×C22⋊C4C2×D1111yescharacteristic
846C22×C42—111no—
847#400—111no—
848#399—111no—
849#399—111no—
850#399C2×D1111yescharacteristic, complemented
851#398—111no—
852#398—111no—
853#398—111no—
854#398—111no—
855#397—111no—
856#397—111no—
857#397—111no—
858#397—111no—
859#397—111no—
860#397C2×D1111yescharacteristic, complemented
861#396—111no—
862#396—111no—
863#396—111no—
864#396—111no—
865#395—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#394C2×D1111yescharacteristic, complemented
875#394C2×D1111yescharacteristic, complemented
876#393—111no—
877#392—111no—
878#392—111no—
879#389—111no—
880#389—111no—
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#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#387—111no—
900#387—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#386—111no—
913#386C2×D1111yescharacteristic
914#386C2×D1111yescharacteristic, complemented
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#385—111no—
924#385—111no—
925#385—111no—
926#385—111no—
927#385—111no—
928#385—111no—
929#385—111no—
930#385—111no—
931#385—111no—
932#385—111no—
933#385—111no—
934#385—111no—
935#385—111no—
936#385—111no—
937#385—111no—
938#385—111no—
939#385—111no—
940#385C2×D1111yescharacteristic
941#383—111no—
942#382—111no—
943#381—111no—
944#381—111no—
945#381—111no—
946#380—111no—
947#380—111no—
948#380—111no—
949#380—111no—
950#380—111no—
951#380C2×D1111yescharacteristic
952#379—111no—
953#379—111no—
954#379—111no—
955#379C2×D1111yescharacteristic
956C4×C22⋊C4—111no—
957C4×C22⋊C4—111no—
958C4×C22⋊C4—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—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11#53914yescomplemented
990C22×C11C23×D411yescharacteristic
991C22×C11C22×#4111yescharacteristic
992C22×C11C22×#4111yescharacteristic
993C22×C11C2×H(5,𝔽2)11yescharacteristic
994C22×C11C2×H(5,𝔽2)11yescharacteristic
995C22×C11C2×2−1+411yescharacteristic
996C22×C11#58511yescharacteristic
997C2×D11—22no—
998C2×D11—22no—
999C2×D11—22no—
1000C2×D11—22no—
1001C2×D11—22no—
1002C2×D11—22no—
1003C2×D11—22no—
1004C2×D11—22no—
1005C2×D11—22no—
1006C2×D11—416no—
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—
1023Dic11—22no—
1024Dic11—22no—
1025Dic11—22no—
1026Dic11—22no—
1027Dic11—22no—
1028Dic11—41no—
1029Dic11—41no—
1030Dic11—41no—
1031Dic11—41no—
1032Dic11—41no—
1033Dic11—41no—
1034Dic11—41no—
1035Dic11—41no—
1036Dic11—41no—
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—224no—
1047C22×D4—224no—
1048C22×D4—224no—
1049C22×D4C22×D1111yescharacteristic
1050C22×D4C22×D1111yescharacteristic
1051C22×D4C22×D1111yescharacteristic
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—224no—
1068C23×C4—224no—
1069C23×C4—442no—
1070C23×C4—442no—
1071C23×C4—442no—
1072C23×C4—442no—
1073C23×C4C22×D1111yescharacteristic
1074C23×C4C22×D1111yescharacteristic
1075C23×C4C22×D1111yescharacteristic
1076#126—224no—
1077#126—224no—
1078#125—224no—
1079#125—224no—
1080#123—24no—
1081#123—224no—
1082#123—224no—
1083#123—224no—
1084#123—224no—
1085#123—442no—
1086C22⋊Q8—224no—
1087C22⋊Q8—224no—
1088C22⋊Q8—224no—
1089C22⋊Q8—442no—
1090C22⋊Q8—442no—
1091#121—224no—
1092#121—224no—
1093#120—42no—
1094#120—224no—
1095C4×D4—42no—
1096C4×D4—118no—
1097C4×D4—224no—
1098C4×D4—224no—
1099C4×D4—224no—
1100C4×D4—224no—
1101C4×D4—224no—
1102C4×D4—224no—
1103C4×D4—224no—
1104C4×D4—224no—
1105C4×D4—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—111no—
1127C2×C4⋊C4—111no—
1128C2×C4⋊C4—111no—
1129C2×C4⋊C4—111no—
1130C2×C4⋊C4—111no—
1131C2×C4⋊C4—111no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—224no—
1136C2×C4⋊C4—224no—
1137C2×C4⋊C4—442no—
1138C2×C4⋊C4C22×D1111yescharacteristic
1139C2×C4⋊C4C22×D1111yescharacteristic
1140C2×C4⋊C4C22×D1111yescharacteristic
1141C2×C4⋊C4C22×D1111yescharacteristic
1142C2×C4⋊C4C22×D1111yescharacteristic
1143C2×C22⋊C4—24no—
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—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—224no—
1177C2×C22⋊C4—224no—
1178C2×C22⋊C4—442no—
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×C22⋊C4C22×D1111yescharacteristic
1186C2×C22⋊C4C22×D1111yescharacteristic
1187C2×C22⋊C4C22×D1111yescharacteristic
1188C2×C22⋊C4C22×D1111yescharacteristic
1189C2×C22⋊C4C22×D1111yescharacteristic
1190C2×C22⋊C4C22×D1111yescharacteristic
1191C2×C22⋊C4C22×D1111yescharacteristic
1192C2×C22⋊C4C22×D1111yescharacteristic
1193C2×C22⋊C4C22×D1111yescharacteristic
1194C2×C22⋊C4C22×D1111yescharacteristic
1195C2×C42—111no—
1196C2×C42—111no—
1197C2×C42—111no—
1198C2×C42—111no—
1199C2×C42—111no—
1200C2×C42—111no—
1201C2×C42—224no—
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#95—111no—
1232#95—111no—
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×C11—81no—
1243C2×C11C2×#52511yescharacteristic
1244C2×C11C2×#53911yescharacteristic
1245C2×C11#345911yescharacteristic
1246C2×C11#348411yescharacteristic
1247C2×C11#348911yescharacteristic
1248C2×C11#351311yescharacteristic
1249C2×C11#352011yescharacteristic
1250D11—24no—
1251D11—42no—
1252C24—22no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—41no—
1258C24—41no—
1259C24—111no—
1260C24—111no—
1261C24—114no—
1262C24—222no—
1263C24—222no—
1264C24—222no—
1265C24—222no—
1266C24—441no—
1267C24—441no—
1268C24C23×D1111yescharacteristic
1269C24C23×D1111yescharacteristic
1270C24C23×D1111yescharacteristic
1271C24C23×D1111yescharacteristic
1272C2×Q8—222no—
1273C2×Q8—441no—
1274C2×Q8—441no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—114no—
1285C2×D4—114no—
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—2232no—
1295C2×D4—222no—
1296C2×D4—222no—
1297C2×D4—222no—
1298C2×D4—222no—
1299C2×D4—222no—
1300C2×D4—222no—
1301C2×D4—441no—
1302C2×D4—441no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—111no—
1313C22×C4—111no—
1314C22×C4—111no—
1315C22×C4—111no—
1316C22×C4—111no—
1317C22×C4—114no—
1318C22×C4—114no—
1319C22×C4—111no—
1320C22×C4—111no—
1321C22×C4—111no—
1322C22×C4—111no—
1323C22×C4—111no—
1324C22×C4—111no—
1325C22×C4—111no—
1326C22×C4—111no—
1327C22×C4—111no—
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—441no—
1353C22×C4—441no—
1354C22×C4—441no—
1355C22×C4—441no—
1356C22×C4—441no—
1357C22×C4—441no—
1358C22×C4—441no—
1359C22×C4—441no—
1360C22×C4—441no—
1361C22×C4—441no—
1362C22×C4—441no—
1363C22×C4—441no—
1364C22×C4—4416no—
1365C22×C4—441no—
1366C22×C4—441no—
1367C22×C4—441no—
1368C22×C4—441no—
1369C22×C4—441no—
1370C22×C4—441no—
1371C22×C4—441no—
1372C22×C4—4416no—
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—41no—
1387C4⋊C4—41no—
1388C4⋊C4—41no—
1389C4⋊C4—114no—
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—222no—
1402C4⋊C4—222no—
1403C4⋊C4—222no—
1404C4⋊C4—222no—
1405C4⋊C4—222no—
1406C4⋊C4—222no—
1407C4⋊C4—222no—
1408C4⋊C4—222no—
1409C4⋊C4—222no—
1410C4⋊C4—441no—
1411C4⋊C4—441no—
1412C4⋊C4—441no—
1413C4⋊C4—441no—
1414C4⋊C4—441no—
1415C4⋊C4—441no—
1416C4⋊C4—441no—
1417C4⋊C4—441no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—114no—
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—222no—
1451C22⋊C4—222no—
1452C22⋊C4—222no—
1453C22⋊C4—222no—
1454C22⋊C4—222no—
1455C22⋊C4—222no—
1456C22⋊C4—441no—
1457C22⋊C4—441no—
1458C22⋊C4—441no—
1459C22⋊C4—441no—
1460C22⋊C4—441no—
1461C22⋊C4—441no—
1462C22⋊C4—441no—
1463C22⋊C4—441no—
1464C22⋊C4—441no—
1465C22⋊C4D4×D1114yes—
1466C42—41no—
1467C42—114no—
1468C42—222no—
1469C42—222no—
1470C42—222no—
1471C42—222no—
1472C42—441no—
1473C11#3499111yescharacteristic, 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—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—44no—
1499C23—44no—
1500C23—44no—
1501C23—44no—
1502C23—44no—
1503C23—44no—
1504C23—112no—
1505C23—112no—
1506C23—112no—
1507C23—112no—
1508C23—228no—
1509C23—221no—
1510C23—221no—
1511C23—221no—
1512C23—221no—
1513C23—221no—
1514C23—221no—
1515C23—228no—
1516C23—221no—
1517C23—221no—
1518C23—221no—
1519C23—221no—
1520C23—444no—
1521C23—444no—
1522C23—444no—
1523C23—444no—
1524C23—444no—
1525C23C2×D4×D1112yes—
1526C23#6703712yes—
1527C23#41×D1112yes—
1528C23#41×D1112yes—
1529C23#6704312yes—
1530C23C24×D1111yescharacteristic
1531Q8—882no—
1532D4—44no—
1533D4—82no—
1534D4—82no—
1535D4—228no—
1536D4—228no—
1537D4—228no—
1538D4—228no—
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—44no—
1573C2×C4—44no—
1574C2×C4—82no—
1575C2×C4—112no—
1576C2×C4—112no—
1577C2×C4—112no—
1578C2×C4—112no—
1579C2×C4—112no—
1580C2×C4—228no—
1581C2×C4—228no—
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—221no—
1612C2×C4—221no—
1613C2×C4—221no—
1614C2×C4—221no—
1615C2×C4—221no—
1616C2×C4—221no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—444no—
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—882no—
1631C2×C4—882no—
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—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—114no—
1663C22—222no—
1664C22—222no—
1665C22—222no—
1666C22—222no—
1667C22—222no—
1668C22—222no—
1669C22—222no—
1670C22—222no—
1671C22—222no—
1672C22—4416no—
1673C22—441no—
1674C22—441no—
1675C22—441no—
1676C22—441no—
1677C22#1062319114yescomplemented
1678C22C22×D4×D1111yescharacteristic
1679C22C2×#6703711yescharacteristic
1680C22C2×#41×D1111yescharacteristic
1681C22C2×#41×D1111yescharacteristic
1682C22C2×#6704311yescharacteristic
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—222no—
1697C4—222no—
1698C4—222no—
1699C4—222no—
1700C4—222no—
1701C4—441no—
1702C4—441no—
1703C4—441no—
1704C4—441no—
1705C4—441no—
1706C4—441no—
1707C4—441no—
1708C4—441no—
1709C4—441no—
1710C2—24no—
1711C2—42no—
1712C2—42no—
1713C2—81no—
1714C2—224no—
1715C2—442no—
1716C2D11×#52511yescharacteristic
1717C2C2×#1062319111yescharacteristic
1718C2#1308202711yescharacteristic
1719C2#1308224411yescharacteristic
1720C2#1308228711yescharacteristic
1721C2#1308254911yescharacteristic
1722C2#1308265411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2418C2
prime radical#13071986C2
hypercenter#2418D11
hypocenterC11#34991
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C2×#10623191C2semidirect
2. C22×(C22⋊D11)⋊C4C2semidirect
3. #13076929C2semidirect
4. #13076924C2semidirect
5. #13076906C2semidirect
6. #13076901C2semidirect
7. #13074535C2semidirect
8. #13074518C2semidirect
9. #13074490C2semidirect
10. #13074456C2semidirect
11. #13072856C2semidirect
12. #13072759C2semidirect
13. #13072650C2semidirect
14. #13072614C2semidirect
15. #13072574C2semidirect
16. #13072495C2semidirect
17. #13072428C2semidirect
18. #13072419C2semidirect
19. #13072344C2semidirect
20. #13072284C2semidirect
21. #13072168C2semidirect
22. #13072088C2semidirect
23. #13072011C2semidirect
25. #13071941C2semidirect
26. #13071318C2semidirect
27. #13071286C2semidirect
28. #13071246C2semidirect
29. C4×#66990C2semidirect
30. D11×#385C2semidirect
31. C11×#2418C2semidirect
35. C2×C11×#123C22semidirect
42. C2×#66988C22semidirect
43. C2×#66988C22semidirect
44. C2×C4×C22⋊D11C22semidirect
45. C2×C4×C22⋊D11C22semidirect
47. C2×#66977C22semidirect
51. C2×#66949C22semidirect
52. C2×C4⋊C4×D11C22semidirect
53. C2×C4⋊C4×D11C22semidirect
54. C2×#66943C22semidirect
55. C2×#66942C22semidirect
58. C2×#66936C22semidirect
70. C2×#66932C22semidirect
71. C2×#66932C22semidirect
73. C2×#66931C22semidirect
74. C2×#66931C22semidirect
75. C11×#399C22semidirect
76. C11×#397C22semidirect
77. C11×#394C22semidirect
78. C11×#394C22semidirect
79. C11×#388C22semidirect
80. C11×#388C22semidirect
82. C11×#386C22semidirect
93. #10622833C22semidirect
94. #10622833C22semidirect
98. #10622823C22semidirect
100. #10622607C22semidirect
101. #10622605C22semidirect
102. #10622602C22semidirect
103. #10622602C22semidirect
104. #10622602C22semidirect
105. #10622602C22semidirect
106. #10622602C22semidirect
107. #10622598C22semidirect
108. #10622597C22semidirect
109. #10622597C22semidirect
110. #10622593C22semidirect
111. #10622592C22semidirect
112. #10622590C22semidirect
113. #10622586C22semidirect
114. #10622585C22semidirect
119. #10622574C22semidirect
122. #10622572C22semidirect
127. #10622569C22semidirect
128. #10622569C22semidirect
129. #10622569C22semidirect
131. #10622566C22semidirect
132. #10622565C22semidirect
133. #10622565C22semidirect
134. #10622564C22semidirect
135. #10622564C22semidirect
139. #10622563C22semidirect
140. #10622563C22semidirect
141. #10622562C22semidirect
142. #10622561C22semidirect
143. #10622561C22semidirect
148. #10622559C22semidirect
149. #10622559C22semidirect
150. #10622559C22semidirect
151. #10622559C22semidirect
152. #10622558C22semidirect
153. #10622558C22semidirect
154. #10622557C22semidirect
155. #10622557C22semidirect
156. #10622556C22semidirect
157. #10622556C22semidirect
159. #10622555C22semidirect
160. #10622555C22semidirect
161. C4×(C2×D11)⋊C4C22semidirect
162. C4×(C2×D11)⋊C4C22semidirect
163. #10622546C22semidirect
164. #10622541C22semidirect
165. #10622289C22semidirect
166. #10622288C22semidirect
167. #10622287C22semidirect
168. #10622286C22semidirect
169. #10622281C22semidirect
170. #10622281C22semidirect
171. #10622281C22semidirect
172. #10622281C22semidirect
173. #10622280C22semidirect
174. #10622277C22semidirect
175. D11×#95C22semidirect
176. D11×#95C22semidirect
177. #10622271C22semidirect
178. #10622270C22semidirect
179. #10622268C22semidirect
180. #10622268C22semidirect
181. #10622268C22semidirect
182. #10622267C22semidirect
183. #10622267C22semidirect
184. #10622266C22semidirect
185. #10622266C22semidirect
186. #10622265C22semidirect
187. #10622265C22semidirect
188. #10622264C22semidirect
347. (C22⋊D11)⋊C4D4semidirect
635. #2418D11semidirect
817. C2×#123C2×D11semidirect
850. #399C2×D11semidirect
860. #397C2×D11semidirect
874. #394C2×D11semidirect
875. #394C2×D11semidirect
889. #388C2×D11semidirect
890. #388C2×D11semidirect
914. #386C2×D11semidirect
989. C22×C11#539semidirect
1473. C11#34991semidirect
1677. C22#10623191semidirect

Maximal subgroups

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

subgroupindex
C2×#106231912
C22×(C22⋊D11)⋊C42
#130769292
#130769242
#130769062
#130769012
#130745352
#130745182
#130744902
#130744562
#130728562
#130727592
#130726502
#130726142
#130725742
#130724952
#130724282
#130724192
#130723442
#130722842
#130721682
#130720882
#130720112
#130719862
#130719412
#130713182
#130712862
#130712462
C4×#669902
D11×#3852
C11×#24182
#3499111