Finite Group Databasebeta

← #14926466

Subgroups — #14926466

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×#10623176C211yesmaximal, characteristic, complemented
2C22×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
3#13076933C211yesmaximal, characteristic, complemented
4#13076924C211yesmaximal, characteristic, complemented
5#13076911C211yesmaximal, characteristic, complemented
6#13076900C211yesmaximal, characteristic, complemented
7#13074539C211yesmaximal, characteristic, complemented
8#13074520C211yesmaximal, characteristic, complemented
9#13074490C211yesmaximal, characteristic, complemented
10#13074462C211yesmaximal, characteristic, complemented
11#13072869C211yesmaximal, characteristic, complemented
12#13072764C211yesmaximal, characteristic, complemented
13#13072655C211yesmaximal, characteristic, complemented
14#13072613C211yesmaximal, characteristic, complemented
15#13072571C211yesmaximal, characteristic, complemented
16#13072499C211yesmaximal, characteristic, complemented
17#13072421C211yesmaximal, characteristic, complemented
18#13072421C211yesmaximal, characteristic, complemented
19#13072355C211yesmaximal, characteristic, complemented
20#13072165C211yesmaximal, characteristic, complemented
21#13072099C211yesmaximal, characteristic, complemented
22#13072084C211yesmaximal, characteristic, complemented
23#13072006C211yesmaximal, characteristic, complemented
24#13071984C211yesmaximal, characteristic
25#13071944C211yesmaximal, characteristic, complemented
26#13071316C211yesmaximal, characteristic, complemented
27#13071284C211yesmaximal, characteristic, complemented
28#13071244C211yesmaximal, characteristic, complemented
29#13071115C211yesmaximal, characteristic, complemented
30C2×#10622559C211yesmaximal, characteristic, complemented
31C11×#2437C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C24×Dic11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic
36C2×C11×C22⋊Q8C2211yescharacteristic, complemented
37C22×C11×C22⋊C4C2211yescharacteristic
38C22×C11×C22⋊C4C2211yescharacteristic
39C2×#67006C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C2×#66999C2211yescharacteristic, complemented
42C2×#66999C2211yescharacteristic, complemented
43C2×#66999C2211yescharacteristic, complemented
44C2×#66983C2211yescharacteristic
45C2×#66983C2211yescharacteristic
46C22×(C2×D11)⋊C4C2211yescharacteristic
47C22×Dic11⋊C4C2211yescharacteristic
48C22×Dic11⋊C4C2211yescharacteristic, complemented
49C22×Dic11⋊C4C2211yescharacteristic, complemented
50C22×C4×Dic11C2211yescharacteristic
51#10623176—28no—
52C2×#66951C2211yescharacteristic, complemented
53C2×#66951C2211yescharacteristic, complemented
54C2×#66947C2211yescharacteristic, complemented
55C2×#66947C2211yescharacteristic, complemented
56C2×#66947C2211yescharacteristic, complemented
57C2×#66943C2211yescharacteristic, complemented
58C2×#66943C2211yescharacteristic, complemented
59C2×#66939C2211yescharacteristic
60C2×#66939C2211yescharacteristic
61C2×#66939C2211yescharacteristic, complemented
62C2×#66935C2211yescharacteristic
63C2×(C22⋊D11)⋊C4—28no—
64C2×(C22⋊D11)⋊C4C2211yescharacteristic
65C2×(C22⋊D11)⋊C4C2211yescharacteristic
66C2×(C22⋊D11)⋊C4C2211yescharacteristic
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×(C22⋊D11)⋊C4C2211yescharacteristic
69C2×(C22⋊D11)⋊C4C2211yescharacteristic
70C2×(C22⋊D11)⋊C4C2211yescharacteristic
71C2×(C22⋊D11)⋊C4C2211yescharacteristic
72C2×(C22⋊D11)⋊C4C2211yescharacteristic
73C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
74C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
75C11×#399C2211yescharacteristic, complemented
76C11×#396C2211yescharacteristic, complemented
77C11×#396C2211yescharacteristic, complemented
78C11×#393C2211yescharacteristic, complemented
79C11×#385C2211yescharacteristic
80C11×#385C2211yescharacteristic
81C11×#385C2211yescharacteristic, complemented
82C11×#385C2211yescharacteristic, complemented
83C11×#380C2211yescharacteristic
84C11×#380C2211yescharacteristic, complemented
85C11×#379C2211yescharacteristic
86#10622842C2211yescharacteristic, complemented
87#10622826C2211yescharacteristic
88#10622826C2211yescharacteristic
89#10622826C2211yescharacteristic
90#10622826C2211yescharacteristic
91#10622825C2211yescharacteristic
92#10622825C2211yescharacteristic
93C2×C11⋊#95C2211yescharacteristic, complemented
94C2×C11⋊#95C2211yescharacteristic, complemented
95#10622607C2211yescharacteristic, complemented
96#10622607C2211yescharacteristic, complemented
97#10622606C2211yescharacteristic, complemented
98#10622605C2211yescharacteristic, complemented
99#10622605C2211yescharacteristic, complemented
100#10622604C2211yescharacteristic, complemented
101#10622603C2211yescharacteristic, complemented
102#10622603C2211yescharacteristic, complemented
103#10622603C2211yescharacteristic, complemented
104#10622602C2211yescharacteristic, complemented
105#10622602C2211yescharacteristic, complemented
106#10622602C2211yescharacteristic, complemented
107#10622602C2211yescharacteristic, complemented
108#10622602C2211yescharacteristic, complemented
109#10622602C2211yescharacteristic, complemented
110#10622602C2211yescharacteristic, complemented
111#10622600C2211yescharacteristic, complemented
112#10622600C2211yescharacteristic, complemented
113#10622598C2211yescharacteristic, complemented
114#10622597C2211yescharacteristic, complemented
115#10622597C2211yescharacteristic, complemented
116#10622597C2211yescharacteristic, complemented
117#10622594C2211yescharacteristic, complemented
118#10622591C2211yescharacteristic, complemented
119#10622591C2211yescharacteristic, complemented
120#10622590C2211yescharacteristic, complemented
121#10622586C2211yescharacteristic, complemented
122#10622586C2211yescharacteristic, complemented
123#10622586C2211yescharacteristic, complemented
124#10622574C2211yescharacteristic
125#10622574C2211yescharacteristic
126#10622574C2211yescharacteristic
127#10622574C2211yescharacteristic
128#10622574C2211yescharacteristic
129#10622574C2211yescharacteristic
130#10622574C2211yescharacteristic, complemented
131#10622574C2211yescharacteristic, complemented
132#10622573C2211yescharacteristic
133#10622573C2211yescharacteristic
134#10622571C2211yescharacteristic
135#10622571C2211yescharacteristic
136#10622571C2211yescharacteristic
137#10622571C2211yescharacteristic
138#10622571C2211yescharacteristic, complemented
139#10622571C2211yescharacteristic, complemented
140#10622571C2211yescharacteristic, complemented
141#10622568C2211yescharacteristic
142#10622568C2211yescharacteristic
143#10622568C2211yescharacteristic
144#10622566C2211yescharacteristic, complemented
145#10622566C2211yescharacteristic, complemented
146#10622563C2211yescharacteristic
147#10622563C2211yescharacteristic
148#10622563C2211yescharacteristic
149#10622563C2211yescharacteristic, complemented
150#10622559C2211yescharacteristic
151#10622559C2211yescharacteristic
152#10622559C2211yescharacteristic
153#10622559C2211yescharacteristic
154#10622559C2211yescharacteristic
155#10622559C2211yescharacteristic, complemented
156#10622559C2211yescharacteristic, complemented
157#10622559C2211yescharacteristic, complemented
158#10622559C2211yescharacteristic, complemented
159#10622559C2211yescharacteristic, complemented
160#10622559C2211yescharacteristic, complemented
161#10622556C2211yescharacteristic, complemented
162C22⋊C4×Dic11C2211yescharacteristic
163C22⋊C4×Dic11C2211yescharacteristic, complemented
164C22⋊C4×Dic11C2211yescharacteristic, complemented
165#10622288C2211yescharacteristic, complemented
166#10622288C2211yescharacteristic, complemented
167#10622287C2211yescharacteristic, complemented
168#10622285C2211yescharacteristic, complemented
169#10622283C2211yescharacteristic, complemented
170#10622283C2211yescharacteristic, complemented
171#10622282C2211yescharacteristic, complemented
172#10622282C2211yescharacteristic, complemented
173#10622282C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622277C2211yescharacteristic, complemented
178#10622277C2211yescharacteristic, complemented
179#10622274C2211yescharacteristic, complemented
180#10622273C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622268C2211yescharacteristic, complemented
183#10622268C2211yescharacteristic, complemented
184#10622267C2211yescharacteristic, complemented
185#10622267C2211yescharacteristic, complemented
186#10622267C2211yescharacteristic, complemented
187#10622267C2211yescharacteristic, complemented
188#10622264C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C22×C22⋊D11—24no—
197C22×C22⋊D11—24no—
198C22×C22⋊D11—24no—
199C22×C22⋊D11C2311yescharacteristic
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
216C23×Dic11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C22×D44C2311yescharacteristic
219C22×D44C2311yescharacteristic
220C22×C4×D11—24no—
221C22×C4×D11—42no—
222C22×C4×D11—42no—
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C11×C22⋊Q8—24no—
229C11×C22⋊Q8—42no—
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4—24no—
240C2×C11×C22⋊C4—42no—
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×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255#67006—24no—
256C2×C22⋊Dic11—24no—
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264#66999—24no—
265#66999—24no—
266#66999—42no—
267#66983—24no—
268#66983—24no—
269C2×(C2×D11)⋊C4—24no—
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×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×Dic11⋊C4—24no—
308C2×Dic11⋊C4—24no—
309C2×Dic11⋊C4—42no—
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
332C2×C4×Dic11C2311yescharacteristic
333#66951—24no—
334#66951—24no—
335#66947—24no—
336#66947—24no—
337#66947—42no—
338#66943—24no—
339#66943—24no—
340#66939—24no—
341#66939—24no—
342#66939—24no—
343#66935—42no—
344(C22⋊D11)⋊C4—24no—
345(C22⋊D11)⋊C4—24no—
346(C22⋊D11)⋊C4—24no—
347(C22⋊D11)⋊C4—24no—
348(C22⋊D11)⋊C4—24no—
349(C22⋊D11)⋊C4—24no—
350(C22⋊D11)⋊C4—24no—
351(C22⋊D11)⋊C4—24no—
352(C22⋊D11)⋊C4—42no—
353(C22⋊D11)⋊C4—42no—
354(C22⋊D11)⋊C4D418yescomplemented
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—41no—
397C24×C11—41no—
398C24×C11#4114yes—
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C24×C11C2411yescharacteristic
402C23×D11—22no—
403C23×D11—22no—
404C23×D11—22no—
405C23×D11—22no—
406C23×D11—22no—
407C23×D11—41no—
408C23×D11—41no—
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C2×Q8×C11—22no—
413C2×Q8×C11—41no—
414C2×Q8×C11—41no—
415C22×C4×C11—22no—
416C22×C4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
419C22×C4×C11—22no—
420C22×C4×C11—22no—
421C22×C4×C11—41no—
422C22×C4×C11—41no—
423C22×C4×C11—41no—
424C22×C4×C11—41no—
425C22×C4×C11—41no—
426C22×C4×C11—41no—
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
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
439C2×C22⋊D11—232no—
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—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—22no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11C2×D414yes—
460C2×C22⋊D11#4114yes—
461C22×Dic11—22no—
462C22×Dic11—22no—
463C22×Dic11—22no—
464C22×Dic11—22no—
465C22×Dic11—22no—
466C22×Dic11—22no—
467C22×Dic11—22no—
468C22×Dic11—22no—
469C22×Dic11—22no—
470C22×Dic11—22no—
471C22×Dic11—22no—
472C22×Dic11—22no—
473C22×Dic11—22no—
474C22×Dic11—22no—
475C22×Dic11—22no—
476C22×Dic11—22no—
477C22×Dic11—22no—
478C22×Dic11—41no—
479C22×Dic11—41no—
480C22×Dic11—41no—
481C22×Dic11—41no—
482C22×Dic11—41no—
483C22×Dic11—41no—
484C22×Dic11—41no—
485C22×Dic11—41no—
486C22×Dic11—41no—
487C22×Dic11—416no—
488C22×Dic11C2×D414yes—
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492C22×Dic11C2411yescharacteristic
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
496C22×Dic11C2411yescharacteristic
497C22×Dic11C2411yescharacteristic
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2411yescharacteristic
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2411yescharacteristic
502C2×D44—22no—
503C2×D44—22no—
504C2×D44—41no—
505C2×D44—41no—
506C2×D44—41no—
507C2×D44—41no—
508C2×C4×D11—22no—
509C2×C4×D11—22no—
510C2×C4×D11—22no—
511C2×C4×D11—22no—
512C2×C4×D11—22no—
513C2×C4×D11—22no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11—41no—
518C2×C4×D11—41no—
519C2×C4×D11—41no—
520C2×C4×D11—41no—
521C2×C4×D11—41no—
522C2×C4×D11—416no—
523C2×C4×D11C2×D414yes—
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×C4⋊C4—41no—
531C11×C4⋊C4—41no—
532C11×C4⋊C4—41no—
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—22no—
542C11×C22⋊C4—41no—
543C11×C22⋊C4—41no—
544C11×C22⋊C4—41no—
545C11×C22⋊C4—41no—
546C11×C22⋊C4C2×D414yes—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—22no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
554(C2×D11)⋊C4—22no—
555(C2×D11)⋊C4—22no—
556(C2×D11)⋊C4—22no—
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—41no—
570(C2×D11)⋊C4—41no—
571(C2×D11)⋊C4—41no—
572(C2×D11)⋊C4—41no—
573(C2×D11)⋊C4—41no—
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)⋊C4—41no—
580(C2×D11)⋊C4C2×D414yes—
581C4⋊Dic11—22no—
582C4⋊Dic11—22no—
583C4⋊Dic11—22no—
584C4⋊Dic11—22no—
585C4⋊Dic11—22no—
586C4⋊Dic11—22no—
587C4⋊Dic11—22no—
588C4⋊Dic11—22no—
589C4⋊Dic11—41no—
590C4⋊Dic11—41no—
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—22no—
601Dic11⋊C4—22no—
602Dic11⋊C4—41no—
603Dic11⋊C4—41no—
604Dic11⋊C4—41no—
605Dic11⋊C4C2×D414yes—
606C4×Dic11—22no—
607C4×Dic11—22no—
608C4×Dic11—22no—
609C4×Dic11—22no—
610C4×Dic11—41no—
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#2437D1111yescharacteristic, complemented
633#2425—111no—
634#2419—111no—
635#2418—111no—
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—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—28no—
653C23×C11—28no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—44no—
661C23×C11—44no—
662C23×C11—44no—
663C23×C11—44no—
664C23×C11—44no—
665C23×C11C22×D412yes—
666C23×C11C2×#4112yes—
667C23×C11C2×#4112yes—
668C23×C11C2×#4112yes—
669C23×C11C2×#4112yes—
670C23×C11H(5,𝔽2)12yes—
671C23×C112−1+412yes—
672C23×C11C2511yescharacteristic
673C22×D11—28no—
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—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—44no—
694C22×D11—44no—
695C22×D11—44no—
696C22×D11—44no—
697C22×D11—44no—
698C22×D11—44no—
699C22×D11C22×D412yes—
700C22×D11C2×#4112yes—
701Q8×C11—82no—
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—21no—
736C2×C4×C11—44no—
737C2×C4×C11—44no—
738C2×C4×C11—82no—
739C2×C4×C11—82no—
740C2×C4×C11C22×D412yes—
741C2×C4×C11C22×D412yes—
742C22⋊D11—28no—
743C22⋊D11—28no—
744C22⋊D11—28no—
745C22⋊D11—28no—
746C22⋊D11—44no—
747C22⋊D11—44no—
748C22⋊D11—44no—
749C2×Dic11—28no—
750C2×Dic11—28no—
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×Dic11—44no—
791C2×Dic11—44no—
792C2×Dic11C22×D412yes—
793C2×Dic11C22×D412yes—
794C2×Dic11C22×D412yes—
795C2×Dic11C2×#4112yes—
796C2×Dic11H(5,𝔽2)12yes—
797D44—82no—
798D44—82no—
799C4×D11—44no—
800C4×D11—44no—
801C4×D11—44no—
802C4×D11—44no—
803C4×D11—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×#123—111no—
818C2×C22⋊Q8—111no—
819C2×C22⋊Q8—111no—
820C2×C22⋊Q8—111no—
821C2×C22⋊Q8C2×D1111yescharacteristic
822C2×C22⋊Q8C2×D1111yescharacteristic, complemented
823C2×#121—111no—
824C2×#121—111no—
825C2×#120—111no—
826C2×#120—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—111no—
836C2×C4×D4—111no—
837C2×C4×D4—111no—
838C2×C4×D4—228no—
839C22×C4⋊C4—111no—
840C22×C4⋊C4—111no—
841C22×C4⋊C4—111no—
842C22×C22⋊C4—111no—
843C22×C22⋊C4—111no—
844C22×C22⋊C4C2×D1111yescharacteristic
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#397—111no—
861#396—111no—
862#396—111no—
863#396C2×D1111yescharacteristic, complemented
864#396C2×D1111yescharacteristic, complemented
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#394—111no—
875#394—111no—
876#393C2×D1111yescharacteristic, complemented
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#388—111no—
890#388—111no—
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#386—111no—
914#386—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#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#385C2×D1111yescharacteristic
938#385C2×D1111yescharacteristic
939#385C2×D1111yescharacteristic, complemented
940#385C2×D1111yescharacteristic, complemented
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#380C2×D1111yescharacteristic
951#380C2×D1111yescharacteristic, complemented
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—22no—
974C22×C11—22no—
975C22×C11—22no—
976C22×C11—416no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11#52514yes—
982C22×C11#53914yescomplemented
983C22×C11C23×D411yescharacteristic
984C22×C11C22×#4111yescharacteristic
985C22×C11C22×#4111yescharacteristic
986C22×C11C2×H(5,𝔽2)11yescharacteristic
987C22×C11C2×H(5,𝔽2)11yescharacteristic
988C22×C11C2×2−1+411yescharacteristic
989C22×C11#58511yescharacteristic
990C2×D11—22no—
991C2×D11—22no—
992C2×D11—22no—
993C2×D11—22no—
994C2×D11—22no—
995C2×D11—22no—
996C2×D11—416no—
997C2×D11—41no—
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—41no—
1007C2×D11—41no—
1008C2×D11—41no—
1009C2×D11—41no—
1010C2×D11—41no—
1011C2×D11—41no—
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—41no—
1030Dic11—41no—
1031Dic11—41no—
1032Dic11—41no—
1033Dic11—41no—
1034Dic11—41no—
1035Dic11—41no—
1036Dic11—41no—
1037C25—111no—
1038C25C22×D1111yescharacteristic
1039C22×Q8C22×D1111yescharacteristic
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—224no—
1067C23×C4—224no—
1068C23×C4—442no—
1069C23×C4—442no—
1070C23×C4—442no—
1071C23×C4—442no—
1072C23×C4C22×D1111yescharacteristic
1073C23×C4C22×D1111yescharacteristic
1074C23×C4C22×D1111yescharacteristic
1075C23×C4C22×D1111yescharacteristic
1076#126—224no—
1077#126—224no—
1078#125—224no—
1079#125—224no—
1080#123—224no—
1081#123—224no—
1082#123—224no—
1083#123—224no—
1084#123—224no—
1085#123—442no—
1086C22⋊Q8—24no—
1087C22⋊Q8—42no—
1088C22⋊Q8—224no—
1089C22⋊Q8—224no—
1090C22⋊Q8—442no—
1091#121—224no—
1092#121—224no—
1093#120—224no—
1094#120—442no—
1095C4×D4—118no—
1096C4×D4—224no—
1097C4×D4—224no—
1098C4×D4—224no—
1099C4×D4—224no—
1100C4×D4—224no—
1101C4×D4—224no—
1102C4×D4—224no—
1103C4×D4—224no—
1104C4×D4—442no—
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—224no—
1132C2×C4⋊C4—224no—
1133C2×C4⋊C4—442no—
1134C2×C4⋊C4C22×D1111yescharacteristic
1135C2×C4⋊C4C22×D1111yescharacteristic
1136C2×C4⋊C4C22×D1111yescharacteristic
1137C2×C4⋊C4C22×D1111yescharacteristic
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—42no—
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—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—224no—
1180C2×C22⋊C4—224no—
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—111no—
1202C2×C42—224no—
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—24no—
1241C2×C11—42no—
1242C2×C11C2×#52511yescharacteristic
1243C2×C11C2×#53911yescharacteristic
1244C2×C11#345911yescharacteristic
1245C2×C11#348411yescharacteristic
1246C2×C11#348911yescharacteristic
1247C2×C11#351311yescharacteristic
1248C2×C11#352011yescharacteristic
1249D11—42no—
1250D11—42no—
1251D11—81no—
1252C24—22no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—41no—
1257C24—41no—
1258C24—111no—
1259C24—111no—
1260C24—111no—
1261C24—222no—
1262C24—222no—
1263C24—222no—
1264C24—222no—
1265C24—222no—
1266C24—441no—
1267C24—441no—
1268C24#434314yes—
1269C24C23×D1111yescharacteristic
1270C24C23×D1111yescharacteristic
1271C24C23×D1111yescharacteristic
1272C2×Q8—22no—
1273C2×Q8—41no—
1274C2×Q8—41no—
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—2232no—
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—441no—
1298C2×D4—441no—
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—22no—
1308C22×C4—22no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—111no—
1316C22×C4—111no—
1317C22×C4—111no—
1318C22×C4—111no—
1319C22×C4—111no—
1320C22×C4—114no—
1321C22×C4—114no—
1322C22×C4—111no—
1323C22×C4—111no—
1324C22×C4—111no—
1325C22×C4—111no—
1326C22×C4—111no—
1327C22×C4—111no—
1328C22×C4—111no—
1329C22×C4—111no—
1330C22×C4—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—441no—
1354C22×C4—441no—
1355C22×C4—441no—
1356C22×C4—441no—
1357C22×C4—441no—
1358C22×C4—441no—
1359C22×C4—441no—
1360C22×C4—441no—
1361C22×C4—4416no—
1362C22×C4—441no—
1363C22×C4—441no—
1364C22×C4—441no—
1365C22×C4—441no—
1366C22×C4—441no—
1367C22×C4—441no—
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—41no—
1391C4⋊C4—41no—
1392C4⋊C4—41no—
1393C4⋊C4—114no—
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—222no—
1411C4⋊C4—222no—
1412C4⋊C4—222no—
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—114no—
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—222no—
1451C22⋊C4—222no—
1452C22⋊C4—222no—
1453C22⋊C4—222no—
1454C22⋊C4—441no—
1455C22⋊C4—441no—
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—114no—
1467C42—222no—
1468C42—222no—
1469C42—222no—
1470C42—222no—
1471C42—441no—
1472C42—441no—
1473C11#3499111yescharacteristic, complemented, Sylow
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—44no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—112no—
1496C23—112no—
1497C23—228no—
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—221no—
1511C23—221no—
1512C23—221no—
1513C23—221no—
1514C23—221no—
1515C23—221no—
1516C23—221no—
1517C23—444no—
1518C23—444no—
1519C23—444no—
1520C23—444no—
1521C23—444no—
1522C23—444no—
1523C23C2×D4×D1112yes—
1524C23#6703712yes—
1525C23C2×#434312yes—
1526C23C2×#434312yes—
1527C23C2×#434312yes—
1528C23#41×D1112yes—
1529C23#6704312yes—
1530C23C24×D1111yescharacteristic
1531Q8—82no—
1532D4—228no—
1533D4—228no—
1534D4—228no—
1535D4—228no—
1536D4—444no—
1537D4—444no—
1538D4—444no—
1539D4—882no—
1540D4—882no—
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—82no—
1578C2×C4—82no—
1579C2×C4—112no—
1580C2×C4—112no—
1581C2×C4—112no—
1582C2×C4—112no—
1583C2×C4—112no—
1584C2×C4—228no—
1585C2×C4—228no—
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—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—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—22no—
1647C22—22no—
1648C22—22no—
1649C22—416no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—222no—
1655C22—222no—
1656C22—222no—
1657C22—222no—
1658C22—222no—
1659C22—222no—
1660C22—4416no—
1661C22—441no—
1662C22—441no—
1663C22—441no—
1664C22—441no—
1665C22—441no—
1666C22—441no—
1667C22—441no—
1668C22—441no—
1669C22—441no—
1670C22—441no—
1671C22—441no—
1672C22—441no—
1673C22—441no—
1674C22—441no—
1675C22—441no—
1676C22#1062315814yes—
1677C22#1062317614yescomplemented
1678C22C22×D4×D1111yescharacteristic
1679C22C2×#6703711yescharacteristic
1680C22C22×#434311yescharacteristic
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—41no—
1697C4—222no—
1698C4—222no—
1699C4—222no—
1700C4—222no—
1701C4—222no—
1702C4—441no—
1703C4—441no—
1704C4—441no—
1705C4—441no—
1706C4—441no—
1707C4—441no—
1708C4—441no—
1709C4—441no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—442no—
1714C2—442no—
1715C2—881no—
1716C2C2×#1062315811yescharacteristic
1717C2C2×#1062317611yescharacteristic
1718C2#1308202811yescharacteristic
1719C2#1308224411yescharacteristic
1720C2#1308228711yescharacteristic
1721C2#1308254911yescharacteristic
1722C2#1308265411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2437C2
prime radical#13071984C2
hypercenter#2437D11
hypocenterC11#34991
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2437

Complements

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

NH ≅ G/Ntype
1. C2×#10623176C2semidirect
2. C22×(C22⋊D11)⋊C4C2semidirect
3. #13076933C2semidirect
4. #13076924C2semidirect
5. #13076911C2semidirect
6. #13076900C2semidirect
7. #13074539C2semidirect
8. #13074520C2semidirect
9. #13074490C2semidirect
10. #13074462C2semidirect
11. #13072869C2semidirect
12. #13072764C2semidirect
13. #13072655C2semidirect
14. #13072613C2semidirect
15. #13072571C2semidirect
16. #13072499C2semidirect
17. #13072421C2semidirect
18. #13072421C2semidirect
19. #13072355C2semidirect
20. #13072165C2semidirect
21. #13072099C2semidirect
22. #13072084C2semidirect
23. #13072006C2semidirect
25. #13071944C2semidirect
26. #13071316C2semidirect
27. #13071284C2semidirect
28. #13071244C2semidirect
29. #13071115C2semidirect
30. C2×#10622559C2semidirect
31. C11×#2437C2semidirect
36. C2×C11×C22⋊Q8C22semidirect
41. C2×#66999C22semidirect
42. C2×#66999C22semidirect
43. C2×#66999C22semidirect
48. C22×Dic11⋊C4C22semidirect
49. C22×Dic11⋊C4C22semidirect
52. C2×#66951C22semidirect
53. C2×#66951C22semidirect
54. C2×#66947C22semidirect
55. C2×#66947C22semidirect
56. C2×#66947C22semidirect
57. C2×#66943C22semidirect
58. C2×#66943C22semidirect
61. C2×#66939C22semidirect
73. C2×(C22⋊D11)⋊C4C22semidirect
74. C2×(C22⋊D11)⋊C4C22semidirect
75. C11×#399C22semidirect
76. C11×#396C22semidirect
77. C11×#396C22semidirect
78. C11×#393C22semidirect
81. C11×#385C22semidirect
82. C11×#385C22semidirect
84. C11×#380C22semidirect
86. #10622842C22semidirect
93. C2×C11⋊#95C22semidirect
94. C2×C11⋊#95C22semidirect
95. #10622607C22semidirect
96. #10622607C22semidirect
97. #10622606C22semidirect
98. #10622605C22semidirect
99. #10622605C22semidirect
100. #10622604C22semidirect
101. #10622603C22semidirect
102. #10622603C22semidirect
103. #10622603C22semidirect
104. #10622602C22semidirect
105. #10622602C22semidirect
106. #10622602C22semidirect
107. #10622602C22semidirect
108. #10622602C22semidirect
109. #10622602C22semidirect
110. #10622602C22semidirect
111. #10622600C22semidirect
112. #10622600C22semidirect
113. #10622598C22semidirect
114. #10622597C22semidirect
115. #10622597C22semidirect
116. #10622597C22semidirect
117. #10622594C22semidirect
118. #10622591C22semidirect
119. #10622591C22semidirect
120. #10622590C22semidirect
121. #10622586C22semidirect
122. #10622586C22semidirect
123. #10622586C22semidirect
130. #10622574C22semidirect
131. #10622574C22semidirect
138. #10622571C22semidirect
139. #10622571C22semidirect
140. #10622571C22semidirect
144. #10622566C22semidirect
145. #10622566C22semidirect
149. #10622563C22semidirect
155. #10622559C22semidirect
156. #10622559C22semidirect
157. #10622559C22semidirect
158. #10622559C22semidirect
159. #10622559C22semidirect
160. #10622559C22semidirect
161. #10622556C22semidirect
163. C22⋊C4×Dic11C22semidirect
164. C22⋊C4×Dic11C22semidirect
165. #10622288C22semidirect
166. #10622288C22semidirect
167. #10622287C22semidirect
168. #10622285C22semidirect
169. #10622283C22semidirect
170. #10622283C22semidirect
171. #10622282C22semidirect
172. #10622282C22semidirect
173. #10622282C22semidirect
174. #10622278C22semidirect
175. #10622278C22semidirect
176. #10622278C22semidirect
177. #10622277C22semidirect
178. #10622277C22semidirect
179. #10622274C22semidirect
180. #10622273C22semidirect
181. #10622268C22semidirect
182. #10622268C22semidirect
183. #10622268C22semidirect
184. #10622267C22semidirect
185. #10622267C22semidirect
186. #10622267C22semidirect
187. #10622267C22semidirect
188. #10622264C22semidirect
354. (C22⋊D11)⋊C4D4semidirect
632. #2437D11semidirect
822. C2×C22⋊Q8C2×D11semidirect
850. #399C2×D11semidirect
863. #396C2×D11semidirect
864. #396C2×D11semidirect
876. #393C2×D11semidirect
939. #385C2×D11semidirect
940. #385C2×D11semidirect
951. #380C2×D11semidirect
982. C22×C11#539semidirect
1473. C11#34991semidirect
1677. C22#10623176semidirect

Maximal subgroups

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

subgroupindex
C2×#106231762
C22×(C22⋊D11)⋊C42
#130769332
#130769242
#130769112
#130769002
#130745392
#130745202
#130744902
#130744622
#130728692
#130727642
#130726552
#130726132
#130725712
#130724992
#130724212
#130723552
#130721652
#130720992
#130720842
#130720062
#130719842
#130719442
#130713162
#130712842
#130712442
#130711152
C2×#106225592
C11×#24372
#3499111