Finite Group Databasebeta

← #14968046

Subgroups — #14968046

Order 2816.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077009C211yesmaximal, characteristic, complemented
2#13076982C211yesmaximal, characteristic, complemented
3#13076549C211yesmaximal, characteristic, complemented
4#13076521C211yesmaximal, characteristic, complemented
5#13076510C211yesmaximal, characteristic, complemented
6#13076444C211yesmaximal, characteristic, complemented
7#13075798C211yesmaximal, characteristic, complemented
8#13075699C211yesmaximal, characteristic, complemented
9#13075652C211yesmaximal, characteristic, complemented
10#13075557C211yesmaximal, characteristic, complemented
11#13075556C211yesmaximal, characteristic, complemented
12#13075470C211yesmaximal, characteristic, complemented
13#13075374C211yesmaximal, characteristic, complemented
14#13075284C211yesmaximal, characteristic, complemented
15#13075139C211yesmaximal, characteristic, complemented
16#13075008C211yesmaximal, characteristic, complemented
17#13075004C211yesmaximal, characteristic, complemented
18#13074942C211yesmaximal, characteristic
19#13074617C211yesmaximal, characteristic, complemented
20#13074602C211yesmaximal, characteristic, complemented
21#13074230C211yesmaximal, characteristic, complemented
22#13074122C211yesmaximal, characteristic, complemented
23#13073730C211yesmaximal, characteristic, complemented
24#13073508C211yesmaximal, characteristic, complemented
25#13072847C211yesmaximal, characteristic, complemented
26#13072802C211yesmaximal, characteristic, complemented
27#13072330C211yesmaximal, characteristic, complemented
28#13072002C211yesmaximal, characteristic, complemented
29#13071211C211yesmaximal, characteristic, complemented
30#13071079C211yesmaximal, characteristic, complemented
31C11×#2335C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×#66990C2211yescharacteristic
34C2×#66983C2211yescharacteristic
35C2×#66982C2211yescharacteristic
36C2×C4×C22⋊D11C2211yescharacteristic
37C22×(C2×D11)⋊C4C2211yescharacteristic
38C2×#66979C2211yescharacteristic
39C2×#66951C2211yescharacteristic
40C2×#66943C2211yescharacteristic, complemented
41C2×#66939C2211yescharacteristic
42C2×#66935C2211yescharacteristic
43C2×#66932C2211yescharacteristic, complemented
44C2×#66929C2211yescharacteristic
45C2×#66925C2211yescharacteristic, complemented
46C2×#66923C2211yescharacteristic, complemented
47C11×#390C2211yescharacteristic
48C11×#389C2211yescharacteristic, complemented
49C11×#388C2211yescharacteristic
50C11×#388C2211yescharacteristic
51C11×#388C2211yescharacteristic, complemented
52C11×#388C2211yescharacteristic, complemented
53C11×#387C2211yescharacteristic, complemented
54C11×#387C2211yescharacteristic, complemented
55C11×#386C2211yescharacteristic
56C11×#385C2211yescharacteristic, complemented
57C11×#380C2211yescharacteristic
58C4×C11×C4⋊C4C2211yescharacteristic, complemented
59C4×C11×C22⋊C4C2211yescharacteristic
60C4×C11×C22⋊C4C2211yescharacteristic, complemented
61#10622836C2211yescharacteristic
62#10622835C2211yescharacteristic
63#10622833C2211yescharacteristic
64#10622823C2211yescharacteristic, complemented
65#10622823C2211yescharacteristic, complemented
66C4×C22⋊Dic11C2211yescharacteristic
67#10622607C2211yescharacteristic
68#10622607C2211yescharacteristic
69#10622607C2211yescharacteristic
70#10622607C2211yescharacteristic
71#10622607C2211yescharacteristic
72#10622607C2211yescharacteristic
73#10622605C2211yescharacteristic
74#10622605C2211yescharacteristic, complemented
75#10622605C2211yescharacteristic, complemented
76#10622604C2211yescharacteristic
77#10622604C2211yescharacteristic
78#10622604C2211yescharacteristic
79#10622603C2211yescharacteristic
80#10622603C2211yescharacteristic
81#10622603C2211yescharacteristic
82#10622603C2211yescharacteristic, complemented
83#10622602C2211yescharacteristic, complemented
84#10622598C2211yescharacteristic, complemented
85#10622597C2211yescharacteristic, complemented
86#10622595C2211yescharacteristic, complemented
87#10622594C2211yescharacteristic, complemented
88#10622591C2211yescharacteristic, complemented
89#10622589C2211yescharacteristic, complemented
90#10622586C2211yescharacteristic, complemented
91#10622585C2211yescharacteristic, complemented
92#10622585C2211yescharacteristic, complemented
93#10622574C2211yescharacteristic
94#10622574C2211yescharacteristic
95#10622574C2211yescharacteristic
96#10622574C2211yescharacteristic, complemented
97#10622573C2211yescharacteristic
98#10622572C2211yescharacteristic
99#10622572C2211yescharacteristic
100#10622572C2211yescharacteristic
101#10622572C2211yescharacteristic, complemented
102#10622570C2211yescharacteristic
103#10622570C2211yescharacteristic
104#10622570C2211yescharacteristic
105#10622570C2211yescharacteristic
106#10622570C2211yescharacteristic
107#10622570C2211yescharacteristic
108#10622570C2211yescharacteristic, complemented
109#10622569C2211yescharacteristic, complemented
110#10622568C2211yescharacteristic
111#10622568C2211yescharacteristic
112#10622568C2211yescharacteristic
113#10622568C2211yescharacteristic
114#10622565C2211yescharacteristic
115#10622565C2211yescharacteristic, complemented
116#10622564C2211yescharacteristic, complemented
117#10622562C2211yescharacteristic
118#10622562C2211yescharacteristic
119#10622561C2211yescharacteristic
120#10622561C2211yescharacteristic
121#10622561C2211yescharacteristic, complemented
122#10622559C2211yescharacteristic
123#10622558C2211yescharacteristic, complemented
124#10622557C2211yescharacteristic
125#10622557C2211yescharacteristic
126#10622557C2211yescharacteristic, complemented
127#10622556C2211yescharacteristic
128#10622555C2211yescharacteristic
129#10622555C2211yescharacteristic
130#10622553C2211yescharacteristic
131#10622553C2211yescharacteristic
132#10622553C2211yescharacteristic
133#10622553C2211yescharacteristic
134#10622553C2211yescharacteristic
135#10622553C2211yescharacteristic
136#10622553C2211yescharacteristic
137#10622553C2211yescharacteristic
138#10622553C2211yescharacteristic, complemented
139#10622553C2211yescharacteristic, complemented
140#10622552C2211yescharacteristic
141C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
142#10622546C2211yescharacteristic, complemented
143#10622546C2211yescharacteristic, complemented
144C4×Dic11⋊C4C2211yescharacteristic, complemented
145C42×Dic11C2211yescharacteristic, complemented
146#10622541C2211yescharacteristic, complemented
147#10622289C2211yescharacteristic
148#10622289C2211yescharacteristic, complemented
149#10622288C2211yescharacteristic
150#10622288C2211yescharacteristic
151#10622287C2211yescharacteristic
152#10622287C2211yescharacteristic, complemented
153#10622285C2211yescharacteristic
154#10622285C2211yescharacteristic
155#10622285C2211yescharacteristic
156#10622285C2211yescharacteristic
157#10622283C2211yescharacteristic
158#10622283C2211yescharacteristic
159#10622283C2211yescharacteristic
160#10622283C2211yescharacteristic, complemented
161#10622283C2211yescharacteristic, complemented
162#10622282C2211yescharacteristic
163#10622282C2211yescharacteristic
164#10622282C2211yescharacteristic
165#10622282C2211yescharacteristic
166#10622282C2211yescharacteristic
167#10622282C2211yescharacteristic
168#10622282C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171C11⋊#401C2211yescharacteristic, complemented
172#10622271C2211yescharacteristic, complemented
173#10622271C2211yescharacteristic, complemented
174#10622271C2211yescharacteristic, complemented
175#10622270C2211yescharacteristic, complemented
176#10622270C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622268C2211yescharacteristic, complemented
179#10622267C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622260C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×D44C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C11×#123—24no—
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232#66990—42no—
233#66983—42no—
234#66982—42no—
235C4×C22⋊D11—24no—
236C2×(C2×D11)⋊C4—24no—
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271#66979—42no—
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311#66951—42no—
312#66943—42no—
313#66939—42no—
314#66935—42no—
315#66932—42no—
316#66929—42no—
317#66925—42no—
318#66923—42no—
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357#36990—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C23×D11—22no—
361C23×D11—41no—
362C23×D11—41no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11—41no—
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C23×D11C2411yescharacteristic
370C2×D4×C11—22no—
371C2×D4×C11—41no—
372C2×D4×C11—41no—
373C22×C4×C11—41no—
374C22×C4×C11—41no—
375C22×C4×C11—41no—
376C22×C4×C11—41no—
377C22×C4×C11—41no—
378C22×C4×C11#4114yes—
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C2×C22⋊D11—22no—
393C2×C22⋊D11—22no—
394C2×C22⋊D11—22no—
395C2×C22⋊D11—41no—
396C2×C22⋊D11—41no—
397C2×C22⋊D11—41no—
398C2×C22⋊D11—41no—
399C2×C22⋊D11—41no—
400C2×C22⋊D11—41no—
401C2×C22⋊D11—41no—
402C2×C22⋊D11—41no—
403C2×C22⋊D11—41no—
404C22×Dic11—22no—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C2×D44—41no—
421C2×D44—41no—
422C2×D44—41no—
423C2×D44—41no—
424C2×D44—41no—
425C2×D44—41no—
426C2×C4×D11—22no—
427C2×C4×D11—41no—
428C2×C4×D11—41no—
429C11×C4⋊C4—22no—
430C11×C4⋊C4—22no—
431C11×C4⋊C4—41no—
432C11×C4⋊C4—41no—
433C11×C4⋊C4—41no—
434C11×C4⋊C4—41no—
435C11×C4⋊C4—41no—
436C11×C22⋊C4—22no—
437C11×C22⋊C4—22no—
438C11×C22⋊C4—22no—
439C11×C22⋊C4—41no—
440C11×C22⋊C4—41no—
441C11×C22⋊C4—41no—
442C11×C22⋊C4—41no—
443C11×C22⋊C4—41no—
444C11×C22⋊C4—41no—
445C11×C22⋊C4—41no—
446C42×C11—41no—
447C42×C11—41no—
448C42×C11—41no—
449C42×C11—41no—
450C42×C11—41no—
451C22⋊Dic11—22no—
452C22⋊Dic11—22no—
453C22⋊Dic11—22no—
454C22⋊Dic11—41no—
455C22⋊Dic11—41no—
456C22⋊Dic11—41no—
457C22⋊Dic11—41no—
458C22⋊Dic11—41no—
459C22⋊Dic11—41no—
460C22⋊Dic11—41no—
461(C2×D11)⋊C4—22no—
462(C2×D11)⋊C4—22no—
463(C2×D11)⋊C4—22no—
464(C2×D11)⋊C4—22no—
465(C2×D11)⋊C4—22no—
466(C2×D11)⋊C4—22no—
467(C2×D11)⋊C4—22no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—22no—
470(C2×D11)⋊C4—41no—
471(C2×D11)⋊C4—41no—
472(C2×D11)⋊C4—41no—
473(C2×D11)⋊C4—41no—
474(C2×D11)⋊C4—41no—
475(C2×D11)⋊C4—41no—
476(C2×D11)⋊C4—41no—
477(C2×D11)⋊C4—41no—
478(C2×D11)⋊C4—41no—
479(C2×D11)⋊C4—41no—
480(C2×D11)⋊C4—41no—
481(C2×D11)⋊C4—41no—
482(C2×D11)⋊C4—41no—
483(C2×D11)⋊C4—41no—
484(C2×D11)⋊C4—41no—
485(C2×D11)⋊C4—41no—
486(C2×D11)⋊C4—41no—
487(C2×D11)⋊C4—41no—
488(C2×D11)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491(C2×D11)⋊C4—41no—
492(C2×D11)⋊C4—41no—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495C4⋊Dic11—22no—
496C4⋊Dic11—22no—
497C4⋊Dic11—22no—
498C4⋊Dic11—22no—
499C4⋊Dic11—41no—
500C4⋊Dic11—41no—
501C4⋊Dic11—41no—
502C4⋊Dic11—41no—
503Dic11⋊C4—22no—
504Dic11⋊C4—22no—
505Dic11⋊C4—22no—
506Dic11⋊C4—22no—
507Dic11⋊C4—22no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525C4×Dic11—22no—
526C4×Dic11—22no—
527C4×Dic11—22no—
528C4×Dic11—41no—
529C4×Dic11—41no—
530C4×Dic11—41no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534#2866—111no—
535#2860—111no—
536#2803—111no—
537#2801—111no—
538#2800—111no—
539#2795—111no—
540#2746—111no—
541#2739—111no—
542#2735—111no—
543#2725—111no—
544#2725—111no—
545#2718—111no—
546#2711—111no—
547#2705—111no—
548#2694—111no—
549#2685—111no—
550#2685—111no—
551#2678—111no—
552#2649—111no—
553#2648—111no—
554#2602—111no—
555#2594—111no—
556#2558—111no—
557#2534—111no—
558#2479—111no—
559#2476—111no—
560#2441—111no—
561#2411—111no—
562#2335D1111yescharacteristic, complemented
563#2312—111no—
564#2293—111no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11C2×#4112yes—
579C23×C11C2511yescharacteristic
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11—21no—
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—21no—
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—44no—
602C22×D11—82no—
603C22×D11—82no—
604C22×D11—82no—
605C22×D11—82no—
606C22×D11—82no—
607C22×D11—82no—
608D4×C11—82no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—44no—
647C2×C4×C11—82no—
648C2×C4×C11C2×#4112yes—
649C2×C4×C11C2×#4112yes—
650C22⋊D11—44no—
651C22⋊D11—82no—
652C22⋊D11—82no—
653C22⋊D11—82no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—82no—
692C2×Dic11H(5,𝔽2)12yes—
693C2×Dic11H(5,𝔽2)12yes—
694D44—82no—
695D44—82no—
696C4×D11—44no—
697C2×#126—111no—
698C2×#126—111no—
699C2×#126—111no—
700C2×#125—111no—
701C2×#125—111no—
702C2×#123—111no—
703C2×#123—111no—
704C2×#123C2×D1111yescharacteristic
705C2×#121—111no—
706C2×#120—111no—
707C2×#120—111no—
708C2×C4×D4—111no—
709C2×#117—111no—
710C2×#117—111no—
711C22×C22⋊C4—111no—
712#401—111no—
713#400—111no—
714#400—111no—
715#400—111no—
716#400—111no—
717#399—111no—
718#399—111no—
719#399—111no—
720#399—111no—
721#399—111no—
722#398—111no—
723#398—111no—
724#398—111no—
725#397—111no—
726#397—111no—
727#397—111no—
728#397—111no—
729#397—111no—
730#397—111no—
731#396—111no—
732#396—111no—
733#396—111no—
734#396—111no—
735#396—111no—
736#396—111no—
737#396—111no—
738#396—111no—
739#396—111no—
740#396—111no—
741#396—111no—
742#394—111no—
743#394—111no—
744#394—111no—
745#394—111no—
746#394—111no—
747#394—111no—
748#394—111no—
749#394—111no—
750#394—111no—
751#394—111no—
752#394—111no—
753#394—111no—
754#394—111no—
755#394—111no—
756#394—111no—
757#394—111no—
758#392—111no—
759#392—111no—
760#390—111no—
761#390—111no—
762#390—111no—
763#390—111no—
764#390—111no—
765#390—111no—
766#390—111no—
767#390—111no—
768#390C2×D1111yescharacteristic
769#389—111no—
770#389—111no—
771#389—111no—
772#389—111no—
773#389—111no—
774#389—111no—
775#389—111no—
776#389—111no—
777#389—111no—
778#389—111no—
779#389C2×D1111yescharacteristic, complemented
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388—111no—
789#388—111no—
790#388—111no—
791#388—111no—
792#388—111no—
793#388—111no—
794#388—111no—
795#388—111no—
796#388—111no—
797#388—111no—
798#388—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388C2×D1111yescharacteristic
812#388C2×D1111yescharacteristic
813#388C2×D1111yescharacteristic, complemented
814#388C2×D1111yescharacteristic, complemented
815#387—111no—
816#387—111no—
817#387—111no—
818#387—111no—
819#387—111no—
820#387—111no—
821#387—111no—
822#387—111no—
823#387—111no—
824#387C2×D1111yescharacteristic, complemented
825#387C2×D1111yescharacteristic, complemented
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386C2×D1111yescharacteristic
831#385—111no—
832#385—111no—
833#385—111no—
834#385—111no—
835#385C2×D1111yescharacteristic, complemented
836#384—111no—
837#381—111no—
838#380—111no—
839#380—111no—
840#380C2×D1111yescharacteristic
841#379—111no—
842#379—111no—
843#379—111no—
844#379—111no—
845C4×C4⋊C4—111no—
846C4×C4⋊C4C2×D1111yescharacteristic, complemented
847C4×C22⋊C4—111no—
848C4×C22⋊C4—111no—
849C4×C22⋊C4C2×D1111yescharacteristic
850C4×C22⋊C4C2×D1111yescharacteristic, complemented
851C43—111no—
852C22×C11—22no—
853C22×C11—22no—
854C22×C11—22no—
855C22×C11—41no—
856C22×C11—41no—
857C22×C11—41no—
858C22×C11—41no—
859C22×C11—41no—
860C22×C11—41no—
861C22×C11—41no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11—41no—
865C22×C11—41no—
866C22×C11C22×#4111yescharacteristic
867C22×C11C2×H(5,𝔽2)11yescharacteristic
868C22×C11C2×H(5,𝔽2)11yescharacteristic
869C22×C11#58511yescharacteristic
870C22×C11#58511yescharacteristic
871C22×C11#58511yescharacteristic
872C22×C11#58511yescharacteristic
873C2×D11—41no—
874C2×D11—41no—
875C2×D11—41no—
876C2×D11—41no—
877C2×D11—41no—
878C2×D11—41no—
879C2×D11—41no—
880C2×D11—41no—
881C2×D11—41no—
882C2×D11—41no—
883C2×D11—41no—
884C2×D11—41no—
885C2×D11—41no—
886C2×D11—41no—
887C2×D11—41no—
888C2×D11—41no—
889C2×D11—41no—
890C2×D11—41no—
891C2×D11—41no—
892C2×D11—41no—
893C2×D11—41no—
894C2×D11—88no—
895C4×C11—22no—
896C4×C11—22no—
897C4×C11—41no—
898C4×C11—41no—
899C4×C11—41no—
900C4×C11—41no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907C4×C11—41no—
908Dic11—22no—
909Dic11—22no—
910Dic11—41no—
911Dic11—41no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11—41no—
920Dic11—41no—
921C25—111no—
922C22×D4—111no—
923C22×D4—111no—
924C22×D4—111no—
925C22×D4—111no—
926C22×D4—111no—
927C22×D4—111no—
928C22×D4C22×D1111yescharacteristic
929C23×C4—111no—
930C23×C4—111no—
931C23×C4C22×D1111yescharacteristic
932C23×C4C22×D1111yescharacteristic
933#126—442no—
934#126—442no—
935#126—442no—
936#125—442no—
937#125—442no—
938#123—24no—
939#123—442no—
940#123—442no—
941#121—442no—
942#120—442no—
943#120—442no—
944C4×D4—224no—
945#117—442no—
946#117—442no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4C22×D1111yescharacteristic
978C2×C4⋊C4C22×D1111yescharacteristic
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C4⋊C4C22×D1111yescharacteristic
982C2×C4⋊C4C22×D1111yescharacteristic
983C2×C4⋊C4C22×D1111yescharacteristic
984C2×C22⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—224no—
1029C2×C22⋊C4C22×D1111yescharacteristic
1030C2×C22⋊C4C22×D1111yescharacteristic
1031C2×C22⋊C4C22×D1111yescharacteristic
1032C2×C22⋊C4C22×D1111yescharacteristic
1033C2×C22⋊C4C22×D1111yescharacteristic
1034C2×C22⋊C4C22×D1111yescharacteristic
1035C2×C22⋊C4C22×D1111yescharacteristic
1036C2×C22⋊C4C22×D1111yescharacteristic
1037C2×C22⋊C4C22×D1111yescharacteristic
1038C2×C22⋊C4C22×D1111yescharacteristic
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—111no—
1042C2×C42—111no—
1043C2×C42—111no—
1044C2×C42—111no—
1045C2×C42—111no—
1046C2×C42—111no—
1047C2×C42—111no—
1048C2×C42C22×D1111yescharacteristic
1049C2×C42C22×D1111yescharacteristic
1050C2×C42C22×D1111yescharacteristic
1051C2×C42C22×D1111yescharacteristic
1052C2×C42C22×D1111yescharacteristic
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95C22×D1111yescharacteristic
1082#95C22×D1111yescharacteristic
1083#95C22×D1111yescharacteristic
1084#95C22×D1111yescharacteristic
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091C2×C11—42no—
1092C2×C11—81no—
1093C2×C11#345511yescharacteristic
1094C2×C11#349411yescharacteristic
1095C2×C11#350511yescharacteristic
1096C2×C11#354611yescharacteristic
1097C2×C11#356011yescharacteristic
1098C2×C11#356211yescharacteristic
1099C2×C11#356611yescharacteristic
1100D11—81no—
1101D11—81no—
1102D11—81no—
1103C24—111no—
1104C24—111no—
1105C24—111no—
1106C24—222no—
1107C24—441no—
1108C24—441no—
1109C24—441no—
1110C24—441no—
1111C24—441no—
1112C24—441no—
1113C24C23×D1111yescharacteristic
1114C24C23×D1111yescharacteristic
1115C2×D4—22no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—222no—
1119C2×D4—222no—
1120C2×D4—222no—
1121C2×D4—441no—
1122C2×D4—441no—
1123C2×D4—441no—
1124C2×D4—441no—
1125C2×D4—441no—
1126C2×D4—441no—
1127C2×D4—441no—
1128C2×D4—441no—
1129C2×D4—441no—
1130C2×D4—441no—
1131C2×D4—441no—
1132C2×D4—441no—
1133C2×D4—441no—
1134C2×D4—441no—
1135C2×D4—441no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—111no—
1142C22×C4—111no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—111no—
1151C22×C4—111no—
1152C22×C4—111no—
1153C22×C4—111no—
1154C22×C4—222no—
1155C22×C4—222no—
1156C22×C4—441no—
1157C22×C4—441no—
1158C22×C4—441no—
1159C22×C4—441no—
1160C22×C4#433914yes—
1161C22×C4C23×D1111yescharacteristic
1162C22×C4C23×D1111yescharacteristic
1163C22×C4C23×D1111yescharacteristic
1164C22×C4C23×D1111yescharacteristic
1165C22×C4C23×D1111yescharacteristic
1166C22×C4C23×D1111yescharacteristic
1167C22×C4C23×D1111yescharacteristic
1168C22×C4C23×D1111yescharacteristic
1169C22×C4C23×D1111yescharacteristic
1170C22×C4C23×D1111yescharacteristic
1171C22×C4C23×D1111yescharacteristic
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1111yescharacteristic
1174C4⋊C4—22no—
1175C4⋊C4—22no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—222no—
1182C4⋊C4—222no—
1183C4⋊C4—222no—
1184C4⋊C4—222no—
1185C4⋊C4—222no—
1186C4⋊C4—222no—
1187C4⋊C4—222no—
1188C4⋊C4—222no—
1189C4⋊C4—222no—
1190C4⋊C4—441no—
1191C4⋊C4—441no—
1192C4⋊C4—441no—
1193C4⋊C4—441no—
1194C4⋊C4—441no—
1195C4⋊C4—441no—
1196C4⋊C4—441no—
1197C4⋊C4—441no—
1198C4⋊C4—441no—
1199C4⋊C4—441no—
1200C4⋊C4—441no—
1201C4⋊C4—441no—
1202C4⋊C4—441no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C4⋊C4—441no—
1207C4⋊C4—441no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—222no—
1222C22⋊C4—222no—
1223C22⋊C4—222no—
1224C22⋊C4—222no—
1225C22⋊C4—222no—
1226C22⋊C4—222no—
1227C22⋊C4—222no—
1228C22⋊C4—222no—
1229C22⋊C4—222no—
1230C22⋊C4—222no—
1231C22⋊C4—222no—
1232C22⋊C4—222no—
1233C22⋊C4—441no—
1234C22⋊C4—441no—
1235C22⋊C4—441no—
1236C22⋊C4—441no—
1237C22⋊C4—441no—
1238C22⋊C4—441no—
1239C22⋊C4—441no—
1240C22⋊C4—441no—
1241C22⋊C4—441no—
1242C22⋊C4—441no—
1243C22⋊C4—441no—
1244C22⋊C4—441no—
1245C22⋊C4—441no—
1246C22⋊C4—441no—
1247C22⋊C4—441no—
1248C22⋊C4—441no—
1249C22⋊C4—441no—
1250C22⋊C4—441no—
1251C22⋊C4—441no—
1252C22⋊C4—441no—
1253C22⋊C4—441no—
1254C22⋊C4—441no—
1255C22⋊C4—441no—
1256C22⋊C4—441no—
1257C22⋊C4—441no—
1258C22⋊C4—441no—
1259C22⋊C4—441no—
1260C22⋊C4—441no—
1261C22⋊C4—441no—
1262C22⋊C4—441no—
1263C22⋊C4—441no—
1264C22⋊C4—441no—
1265C42—41no—
1266C42—41no—
1267C42—41no—
1268C42—41no—
1269C42—41no—
1270C42—222no—
1271C42—222no—
1272C42—222no—
1273C42—441no—
1274C42—441no—
1275C42—441no—
1276C42—441no—
1277C42—441no—
1278C42—441no—
1279C11#3699011yescharacteristic, complemented, Sylow
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—221no—
1294C23—221no—
1295C23—221no—
1296C23—221no—
1297C23—221no—
1298C23—221no—
1299C23—221no—
1300C23—221no—
1301C23—221no—
1302C23—221no—
1303C23—221no—
1304C23—221no—
1305C23—221no—
1306C23—221no—
1307C23—221no—
1308C23—221no—
1309C23—221no—
1310C23—221no—
1311C23—221no—
1312C23—221no—
1313C23—221no—
1314C23—444no—
1315C23—882no—
1316C23—882no—
1317C23—882no—
1318C23—882no—
1319C23—882no—
1320C23—882no—
1321C23C2×#433912yes—
1322C23C24×D1111yescharacteristic
1323D4—82no—
1324D4—444no—
1325D4—882no—
1326D4—882no—
1327D4—882no—
1328D4—882no—
1329D4—882no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—44no—
1368C2×C4—82no—
1369C2×C4—112no—
1370C2×C4—112no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—444no—
1409C2×C4—882no—
1410C2×C4C2×#433912yes—
1411C2×C4C2×#433912yes—
1412C22—22no—
1413C22—22no—
1414C22—22no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—441no—
1427C22—441no—
1428C22—441no—
1429C22—441no—
1430C22—441no—
1431C22—441no—
1432C22—441no—
1433C22—441no—
1434C22—441no—
1435C22—441no—
1436C22—441no—
1437C22—441no—
1438C22—441no—
1439C22—441no—
1440C22—441no—
1441C22—441no—
1442C22—441no—
1443C22—441no—
1444C22—441no—
1445C22—441no—
1446C22—441no—
1447C22—888no—
1448C22C22×#433911yescharacteristic
1449C22#1062345311yescharacteristic
1450C22#1062345311yescharacteristic
1451C22D11×H(5,𝔽2)11yescharacteristic
1452C22D11×H(5,𝔽2)11yescharacteristic
1453C22#1062345511yescharacteristic
1454C22#1062345711yescharacteristic
1455C4—22no—
1456C4—22no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—222no—
1469C4—222no—
1470C4—441no—
1471C4—441no—
1472C4—441no—
1473C4—441no—
1474C4—441no—
1475C4—441no—
1476C4—441no—
1477C4—441no—
1478C4—441no—
1479C4—441no—
1480C4—441no—
1481C2—42no—
1482C2—81no—
1483C2—881no—
1484C2—881no—
1485C2—881no—
1486C2#1308200111yescharacteristic
1487C2#1308235211yescharacteristic
1488C2#1308244611yescharacteristic
1489C2#1308298111yescharacteristic
1490C2#1308316911yescharacteristic
1491C2#1308319511yescharacteristic
1492C2#1308329611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2335C2
prime radical#13074942C2
hypercenter#2335D11
hypocenterC11#36990
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
1. #13077009C2semidirect
2. #13076982C2semidirect
3. #13076549C2semidirect
4. #13076521C2semidirect
5. #13076510C2semidirect
6. #13076444C2semidirect
7. #13075798C2semidirect
8. #13075699C2semidirect
9. #13075652C2semidirect
10. #13075557C2semidirect
11. #13075556C2semidirect
12. #13075470C2semidirect
13. #13075374C2semidirect
14. #13075284C2semidirect
15. #13075139C2semidirect
16. #13075008C2semidirect
17. #13075004C2semidirect
19. #13074617C2semidirect
20. #13074602C2semidirect
21. #13074230C2semidirect
22. #13074122C2semidirect
23. #13073730C2semidirect
24. #13073508C2semidirect
25. #13072847C2semidirect
26. #13072802C2semidirect
27. #13072330C2semidirect
28. #13072002C2semidirect
29. #13071211C2semidirect
30. #13071079C2semidirect
31. C11×#2335C2semidirect
40. C2×#66943C22semidirect
43. C2×#66932C22semidirect
45. C2×#66925C22semidirect
46. C2×#66923C22semidirect
48. C11×#389C22semidirect
51. C11×#388C22semidirect
52. C11×#388C22semidirect
53. C11×#387C22semidirect
54. C11×#387C22semidirect
56. C11×#385C22semidirect
58. C4×C11×C4⋊C4C22semidirect
60. C4×C11×C22⋊C4C22semidirect
64. #10622823C22semidirect
65. #10622823C22semidirect
74. #10622605C22semidirect
75. #10622605C22semidirect
82. #10622603C22semidirect
83. #10622602C22semidirect
84. #10622598C22semidirect
85. #10622597C22semidirect
86. #10622595C22semidirect
87. #10622594C22semidirect
88. #10622591C22semidirect
89. #10622589C22semidirect
90. #10622586C22semidirect
91. #10622585C22semidirect
92. #10622585C22semidirect
96. #10622574C22semidirect
101. #10622572C22semidirect
108. #10622570C22semidirect
109. #10622569C22semidirect
115. #10622565C22semidirect
116. #10622564C22semidirect
121. #10622561C22semidirect
123. #10622558C22semidirect
126. #10622557C22semidirect
138. #10622553C22semidirect
139. #10622553C22semidirect
141. C4×(C2×D11)⋊C4C22semidirect
142. #10622546C22semidirect
143. #10622546C22semidirect
144. C4×Dic11⋊C4C22semidirect
145. C42×Dic11C22semidirect
146. #10622541C22semidirect
148. #10622289C22semidirect
152. #10622287C22semidirect
160. #10622283C22semidirect
161. #10622283C22semidirect
171. C11⋊#401C22semidirect
172. #10622271C22semidirect
173. #10622271C22semidirect
174. #10622271C22semidirect
175. #10622270C22semidirect
176. #10622270C22semidirect
177. #10622268C22semidirect
178. #10622268C22semidirect
179. #10622267C22semidirect
180. #10622266C22semidirect
181. #10622265C22semidirect
182. #10622260C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
562. #2335D11semidirect
779. #389C2×D11semidirect
813. #388C2×D11semidirect
814. #388C2×D11semidirect
824. #387C2×D11semidirect
825. #387C2×D11semidirect
835. #385C2×D11semidirect
846. C4×C4⋊C4C2×D11semidirect
850. C4×C22⋊C4C2×D11semidirect
1279. C11#36990semidirect

Maximal subgroups

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

subgroupindex
#130770092
#130769822
#130765492
#130765212
#130765102
#130764442
#130757982
#130756992
#130756522
#130755572
#130755562
#130754702
#130753742
#130752842
#130751392
#130750082
#130750042
#130749422
#130746172
#130746022
#130742302
#130741222
#130737302
#130735082
#130728472
#130728022
#130723302
#130720022
#130712112
#130710792
C11×#23352
#3699011