Finite Group Databasebeta

← #14962193

Subgroups — #14962193

Order 2816.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076931C211yesmaximal, characteristic, complemented
2#13076277C211yesmaximal, characteristic, complemented
3#13076275C211yesmaximal, characteristic, complemented
4#13076231C211yesmaximal, characteristic, complemented
5#13076046C211yesmaximal, characteristic, complemented
6#13076036C211yesmaximal, characteristic, complemented
7#13076000C211yesmaximal, characteristic, complemented
8#13075935C211yesmaximal, characteristic, complemented
9#13075837C211yesmaximal, characteristic, complemented
10#13075749C211yesmaximal, characteristic, complemented
11#13075734C211yesmaximal, characteristic, complemented
12#13075655C211yesmaximal, characteristic, complemented
13#13075654C211yesmaximal, characteristic, complemented
14#13075609C211yesmaximal, characteristic, complemented
15#13075247C211yesmaximal, characteristic, complemented
16#13075008C211yesmaximal, characteristic, complemented
17#13074992C211yesmaximal, characteristic, complemented
18#13074400C211yesmaximal, characteristic, complemented
19#13074364C211yesmaximal, characteristic, complemented
20#13073174C211yesmaximal, characteristic, complemented
21#13072948C211yesmaximal, characteristic, complemented
22#13072364C211yesmaximal, characteristic, complemented
23#13072279C211yesmaximal, characteristic, complemented
24#13072173C211yesmaximal, characteristic, complemented
25#13072015C211yesmaximal, characteristic, complemented
26#13071987C211yesmaximal, characteristic
27#13071942C211yesmaximal, characteristic, complemented
28#13071279C211yesmaximal, characteristic, complemented
29#13071190C211yesmaximal, characteristic, complemented
30C2×#10622553C211yesmaximal, characteristic, complemented
31C11×#2850C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C2×C11×#124C2211yescharacteristic, complemented
34C2×C11×C22⋊Q8C2211yescharacteristic, complemented
35C2×C11×#121C2211yescharacteristic
36C22×C42×C11C2211yescharacteristic, complemented
37C2×#66999C2211yescharacteristic, complemented
38C2×#66992C2211yescharacteristic
39C2×#66990C2211yescharacteristic
40C2×#66990C2211yescharacteristic
41C2×#66988C2211yescharacteristic
42C2×#66988C2211yescharacteristic, complemented
43C2×D4×Dic11C2211yescharacteristic, complemented
44C22×(C2×D11)⋊C4C2211yescharacteristic
45C22×(C2×D11)⋊C4C2211yescharacteristic
46C22×(C2×D11)⋊C4C2211yescharacteristic
47C22×Dic11⋊C4C2211yescharacteristic, complemented
48C2×#66939C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×#66929C2211yescharacteristic, complemented
51C11×#391C2211yescharacteristic, complemented
52C11×#390C2211yescharacteristic, complemented
53C11×#388C2211yescharacteristic, complemented
54C11×#388C2211yescharacteristic, complemented
55C11×#388C2211yescharacteristic, complemented
56C11×#388C2211yescharacteristic, complemented
57C11×#386C2211yescharacteristic
58C11×#386C2211yescharacteristic
59C11×#386C2211yescharacteristic, complemented
60C11×#386C2211yescharacteristic, complemented
61C11×#382C2211yescharacteristic, complemented
62#10622844C2211yescharacteristic
63#10622844C2211yescharacteristic, complemented
64#10622843C2211yescharacteristic, complemented
65#10622836C2211yescharacteristic
66#10622835C2211yescharacteristic, complemented
67#10622833C2211yescharacteristic
68#10622833C2211yescharacteristic
69#10622833C2211yescharacteristic, complemented
70#10622826C2211yescharacteristic
71#10622826C2211yescharacteristic
72#10622826C2211yescharacteristic
73#10622823C2211yescharacteristic, complemented
74#10622823C2211yescharacteristic, complemented
75#10622823C2211yescharacteristic, complemented
76C2×C11⋊#95C2211yescharacteristic, complemented
77C2×C11⋊#95C2211yescharacteristic, complemented
78#10622607C2211yescharacteristic
79#10622607C2211yescharacteristic
80#10622606C2211yescharacteristic, complemented
81#10622605C2211yescharacteristic
82#10622604C2211yescharacteristic
83#10622603C2211yescharacteristic, complemented
84#10622603C2211yescharacteristic, complemented
85#10622602C2211yescharacteristic
86#10622602C2211yescharacteristic, complemented
87#10622602C2211yescharacteristic, complemented
88#10622600C2211yescharacteristic, complemented
89#10622599C2211yescharacteristic, complemented
90#10622599C2211yescharacteristic, complemented
91#10622597C2211yescharacteristic, complemented
92#10622590C2211yescharacteristic, complemented
93#10622585C2211yescharacteristic, complemented
94#10622574C2211yescharacteristic
95#10622574C2211yescharacteristic
96#10622574C2211yescharacteristic, complemented
97#10622573C2211yescharacteristic
98#10622572C2211yescharacteristic
99#10622572C2211yescharacteristic
100#10622572C2211yescharacteristic
101#10622572C2211yescharacteristic, complemented
102#10622572C2211yescharacteristic, complemented
103#10622571C2211yescharacteristic
104#10622571C2211yescharacteristic
105#10622571C2211yescharacteristic, complemented
106#10622571C2211yescharacteristic, complemented
107#10622570C2211yescharacteristic
108#10622570C2211yescharacteristic, complemented
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic, complemented
113#10622569C2211yescharacteristic, complemented
114#10622568C2211yescharacteristic
115#10622568C2211yescharacteristic
116#10622568C2211yescharacteristic
117#10622568C2211yescharacteristic
118#10622568C2211yescharacteristic
119#10622568C2211yescharacteristic
120#10622566C2211yescharacteristic, complemented
121#10622565C2211yescharacteristic, complemented
122#10622565C2211yescharacteristic, complemented
123#10622565C2211yescharacteristic, complemented
124#10622565C2211yescharacteristic, complemented
125#10622565C2211yescharacteristic, complemented
126#10622563C2211yescharacteristic, complemented
127#10622562C2211yescharacteristic, complemented
128#10622562C2211yescharacteristic, complemented
129#10622561C2211yescharacteristic, complemented
130#10622561C2211yescharacteristic, complemented
131#10622561C2211yescharacteristic, complemented
132#10622558C2211yescharacteristic, complemented
133#10622558C2211yescharacteristic, complemented
134#10622557C2211yescharacteristic, complemented
135#10622556C2211yescharacteristic, complemented
136#10622556C2211yescharacteristic, complemented
137#10622555C2211yescharacteristic, complemented
138#10622555C2211yescharacteristic, complemented
139C22⋊C4×Dic11C2211yescharacteristic, complemented
140#10622553C2211yescharacteristic
141#10622553C2211yescharacteristic
142#10622553C2211yescharacteristic
143#10622553C2211yescharacteristic
144#10622553C2211yescharacteristic, complemented
145#10622553C2211yescharacteristic, complemented
146#10622553C2211yescharacteristic, complemented
147#10622553C2211yescharacteristic, complemented
148#10622553C2211yescharacteristic, complemented
149#10622553C2211yescharacteristic, complemented
150#10622553C2211yescharacteristic, complemented
151#10622550C2211yescharacteristic, complemented
152#10622546C2211yescharacteristic, complemented
153#10622546C2211yescharacteristic, complemented
154#10622546C2211yescharacteristic, complemented
155#10622289C2211yescharacteristic, complemented
156#10622289C2211yescharacteristic, complemented
157#10622288C2211yescharacteristic
158#10622288C2211yescharacteristic
159#10622287C2211yescharacteristic, complemented
160#10622285C2211yescharacteristic
161#10622285C2211yescharacteristic
162#10622283C2211yescharacteristic
163#10622283C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic, complemented
165#10622282C2211yescharacteristic
166#10622282C2211yescharacteristic, complemented
167#10622281C2211yescharacteristic
168#10622281C2211yescharacteristic
169#10622280C2211yescharacteristic, complemented
170#10622280C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622277C2211yescharacteristic
174#10622277C2211yescharacteristic
175C11⋊#401C2211yescharacteristic, complemented
176#10622272C2211yescharacteristic, complemented
177#10622271C2211yescharacteristic, complemented
178#10622271C2211yescharacteristic, complemented
179#10622271C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622270C2211yescharacteristic, complemented
182#10622270C2211yescharacteristic, complemented
183#10622270C2211yescharacteristic, complemented
184#10622266C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, complemented
186#10622264C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C2×D4×D11—24no—
206C2×D4×D11—42no—
207C2×D4×D11—42no—
208C22×D44C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C11×#124—42no—
213C11×C22⋊Q8—42no—
214C11×#121—42no—
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C42×C11—42no—
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249#66999—42no—
250#66992—42no—
251#66990—24no—
252#66990—42no—
253#66988—42no—
254#66988—42no—
255D4×Dic11—42no—
256C2×(C2×D11)⋊C4—24no—
257C2×(C2×D11)⋊C4—42no—
258C2×(C2×D11)⋊C4—42no—
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
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×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×Dic11⋊C4—42no—
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316#66939—42no—
317C22⋊C4×D11—42no—
318#66929—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
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#36779—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C23×D11—22no—
368C23×D11—22no—
369C23×D11—22no—
370C23×D11—41no—
371C23×D11—41no—
372C23×D11—41no—
373C23×D11—41no—
374C23×D11—41no—
375C23×D11—41no—
376C23×D11—41no—
377C23×D11—41no—
378C23×D11—41no—
379C23×D11—41no—
380C23×D11#4114yes—
381C23×D11C2411yescharacteristic
382C23×D11C2411yescharacteristic
383C23×D11C2411yescharacteristic
384C2×Q8×C11—22no—
385C2×Q8×C11—41no—
386C2×Q8×C11—41no—
387C2×D4×C11—22no—
388C2×D4×C11—22no—
389C2×D4×C11—22no—
390C2×D4×C11—22no—
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—22no—
394C2×D4×C11—41no—
395C2×D4×C11—41no—
396C22×C4×C11—22no—
397C22×C4×C11—22no—
398C22×C4×C11—22no—
399C22×C4×C11—22no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—22no—
435C22×Dic11—22no—
436C22×Dic11—22no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11—41no—
441C22×Dic11—41no—
442C22×Dic11—41no—
443C22×Dic11—41no—
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457D4×D11—416no—
458C2×D44—22no—
459C2×D44—41no—
460C2×D44—41no—
461C2×C4×D11—22no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C11×C4⋊C4—41no—
471C11×C4⋊C4—41no—
472C11×C4⋊C4—41no—
473C11×C4⋊C4—41no—
474C11×C22⋊C4—22no—
475C11×C22⋊C4—22no—
476C11×C22⋊C4—41no—
477C11×C22⋊C4—41no—
478C11×C22⋊C4—41no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4—41no—
484C11×C22⋊C4—41no—
485C11×C22⋊C4—41no—
486C42×C11—22no—
487C42×C11—22no—
488C42×C11—41no—
489C42×C11—41no—
490C22⋊Dic11—22no—
491C22⋊Dic11—22no—
492C22⋊Dic11—22no—
493C22⋊Dic11—41no—
494C22⋊Dic11—41no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
497C22⋊Dic11—41no—
498C22⋊Dic11—41no—
499C22⋊Dic11—41no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
502C22⋊Dic11—41no—
503(C2×D11)⋊C4—22no—
504(C2×D11)⋊C4—22no—
505(C2×D11)⋊C4—22no—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—22no—
510(C2×D11)⋊C4—22no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—41no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4—41no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534C4⋊Dic11—41no—
535C4⋊Dic11—41no—
536C4⋊Dic11—41no—
537C4⋊Dic11—41no—
538C4⋊Dic11—41no—
539Dic11⋊C4—22no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549Dic11⋊C4—41no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559#2852—111no—
560#2850D1111yescharacteristic, complemented
561#2781—111no—
562#2781—111no—
563#2778—111no—
564#2765—111no—
565#2764—111no—
566#2761—111no—
567#2756—111no—
568#2749—111no—
569#2743—111no—
570#2741—111no—
571#2735—111no—
572#2735—111no—
573#2730—111no—
574#2702—111no—
575#2685—111no—
576#2684—111no—
577#2623—111no—
578#2618—111no—
579#2510—111no—
580#2488—111no—
581#2444—111no—
582#2437—111no—
583#2425—111no—
584#2412—111no—
585#2410—111no—
586#2405—111no—
587#2321—111no—
588#2308—111no—
589C2×#388—111no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11C2×#4112yes—
609C23×C11H(5,𝔽2)12yes—
610C23×C11H(5,𝔽2)12yes—
611C23×C11C2511yescharacteristic
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—28no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—44no—
633C22×D11—44no—
634C22×D11—44no—
635C22×D11—82no—
636C22×D11—82no—
637C22×D11—82no—
638C22×D11—82no—
639C22×D11—82no—
640C22×D11—82no—
641C22×D11—82no—
642C22×D11—82no—
643C22×D11—82no—
644C22×D11—82no—
645C22×D11C2×#4112yes—
646C22×D11C2×#4112yes—
647Q8×C11—82no—
648D4×C11—44no—
649D4×C11—44no—
650D4×C11—82no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—44no—
687C2×C4×C11—44no—
688C2×C4×C11—44no—
689C2×C4×C11H(5,𝔽2)12yes—
690C22⋊D11—44no—
691C22⋊D11—44no—
692C22⋊D11—82no—
693C22⋊D11—82no—
694C22⋊D11—82no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—44no—
735C2×Dic11—82no—
736C2×Dic11—82no—
737C2×Dic11—82no—
738D44—44no—
739C4×D11—44no—
740C4×D11—82no—
741C4×D11—82no—
742C23×D4—111no—
743C2×#126—111no—
744C2×#124C2×D1111yescharacteristic, complemented
745C2×#123—111no—
746C2×#123—111no—
747C2×#123—111no—
748C2×C22⋊Q8—111no—
749C2×C22⋊Q8C2×D1111yescharacteristic, complemented
750C2×#121—111no—
751C2×#121C2×D1111yescharacteristic
752C2×#120—111no—
753C2×#120—111no—
754C2×C4×D4—111no—
755C22×C4⋊C4—111no—
756C22×C22⋊C4—111no—
757C22×C22⋊C4—111no—
758C22×C22⋊C4—111no—
759C22×C22⋊C4—111no—
760C22×C42C2×D1111yescharacteristic, complemented
761#401—111no—
762#400—111no—
763#400—111no—
764#400—111no—
765#400—111no—
766#400—111no—
767#400—111no—
768#399—111no—
769#399—111no—
770#399—111no—
771#398—111no—
772#398—111no—
773#398—111no—
774#398—111no—
775#398—111no—
776#397—111no—
777#397—111no—
778#397—111no—
779#397—111no—
780#397—111no—
781#397—111no—
782#397—111no—
783#397—111no—
784#397—111no—
785#397—111no—
786#396—111no—
787#396—111no—
788#396—111no—
789#396—111no—
790#396—111no—
791#396—111no—
792#396—111no—
793#394—111no—
794#394—111no—
795#394—111no—
796#394—111no—
797#394—111no—
798#394—111no—
799#394—111no—
800#394—111no—
801#394—111no—
802#394—111no—
803#394—111no—
804#394—111no—
805#393—111no—
806#393—111no—
807#392—111no—
808#392—111no—
809#391—111no—
810#391C2×D1111yescharacteristic, complemented
811#390—111no—
812#390—111no—
813#390C2×D1111yescharacteristic, complemented
814#389—111no—
815#388—111no—
816#388—111no—
817#388—111no—
818#388—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#388—111no—
824#388—111no—
825#388—111no—
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388C2×D1111yescharacteristic, complemented
837#388C2×D1111yescharacteristic, complemented
838#388C2×D1111yescharacteristic, complemented
839#388C2×D1111yescharacteristic, complemented
840#387—111no—
841#387—111no—
842#387—111no—
843#387—111no—
844#387—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#386—111no—
849#386—111no—
850#386—111no—
851#386—111no—
852#386—111no—
853#386—111no—
854#386—111no—
855#386—111no—
856#386—111no—
857#386—111no—
858#386—111no—
859#386—111no—
860#386—111no—
861#386—111no—
862#386C2×D1111yescharacteristic
863#386C2×D1111yescharacteristic
864#386C2×D1111yescharacteristic, complemented
865#386C2×D1111yescharacteristic, complemented
866#385—111no—
867#385—111no—
868#385—111no—
869#385—111no—
870#385—111no—
871#385—111no—
872#385—111no—
873#385—111no—
874#385—111no—
875#383—111no—
876#383—111no—
877#382—111no—
878#382C2×D1111yescharacteristic, complemented
879#381—111no—
880#381—111no—
881#381—111no—
882#381—111no—
883#380—111no—
884#380—111no—
885#380—111no—
886#380—111no—
887#380—111no—
888#379—111no—
889#379—111no—
890#379—111no—
891#379—111no—
892#379—111no—
893#379—111no—
894C4×C22⋊C4—111no—
895C2×#95—111no—
896C2×#95—111no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11—22no—
900C22×C11—22no—
901C22×C11—22no—
902C22×C11—22no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11#53814yes—
918C22×C11C22×#4111yescharacteristic
919C22×C11C2×H(5,𝔽2)11yescharacteristic
920C22×C11C2×H(5,𝔽2)11yescharacteristic
921C22×C11C2×H(5,𝔽2)11yescharacteristic
922C22×C11#58511yescharacteristic
923C22×C11#58511yescharacteristic
924C22×C11#58511yescharacteristic
925C2×D11—22no—
926C2×D11—22no—
927C2×D11—22no—
928C2×D11—22no—
929C2×D11—22no—
930C2×D11—22no—
931C2×D11—41no—
932C2×D11—41no—
933C2×D11—41no—
934C2×D11—41no—
935C2×D11—41no—
936C2×D11—41no—
937C2×D11—41no—
938C2×D11—41no—
939C2×D11—41no—
940C2×D11—41no—
941C2×D11—41no—
942C2×D11—41no—
943C2×D11—41no—
944C2×D11—41no—
945C2×D11—41no—
946C2×D11—88no—
947C2×D11—88no—
948C4×C11—22no—
949C4×C11—41no—
950C4×C11—41no—
951C4×C11—41no—
952C4×C11—41no—
953C4×C11—41no—
954C4×C11—41no—
955C4×C11—41no—
956C4×C11—41no—
957C4×C11—41no—
958C4×C11—41no—
959C4×C11—41no—
960Dic11—41no—
961Dic11—41no—
962Dic11—41no—
963Dic11—41no—
964Dic11—41no—
965Dic11—41no—
966Dic11—41no—
967Dic11—41no—
968Dic11—41no—
969Dic11—41no—
970Dic11—41no—
971Dic11—41no—
972Dic11—41no—
973C25—111no—
974C25—111no—
975C22×Q8C22×D1111yescharacteristic
976C22×D4—111no—
977C22×D4—111no—
978C22×D4—111no—
979C22×D4—111no—
980C22×D4—111no—
981C22×D4—111no—
982C22×D4—224no—
983C22×D4—442no—
984C22×D4—442no—
985C22×D4C22×D1111yescharacteristic
986C22×D4C22×D1111yescharacteristic
987C22×D4C22×D1111yescharacteristic
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—111no—
995C23×C4C22×D1111yescharacteristic
996C23×C4C22×D1111yescharacteristic
997C23×C4C22×D1111yescharacteristic
998#126—442no—
999#124—42no—
1000#123—442no—
1001#123—442no—
1002#123—442no—
1003C22⋊Q8—42no—
1004C22⋊Q8—442no—
1005#121—42no—
1006#121—442no—
1007#120—224no—
1008#120—442no—
1009C4×D4—442no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4—111no—
1030C2×C4⋊C4—111no—
1031C2×C4⋊C4—111no—
1032C2×C4⋊C4—442no—
1033C2×C4⋊C4C22×D1111yescharacteristic
1034C2×C4⋊C4C22×D1111yescharacteristic
1035C2×C4⋊C4C22×D1111yescharacteristic
1036C2×C4⋊C4C22×D1111yescharacteristic
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—224no—
1082C2×C22⋊C4—442no—
1083C2×C22⋊C4—442no—
1084C2×C22⋊C4—442no—
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C22⋊C4C22×D1111yescharacteristic
1090C2×C22⋊C4C22×D1111yescharacteristic
1091C2×C22⋊C4C22×D1111yescharacteristic
1092C2×C22⋊C4C22×D1111yescharacteristic
1093C2×C22⋊C4C22×D1111yescharacteristic
1094C2×C22⋊C4C22×D1111yescharacteristic
1095C2×C22⋊C4C22×D1111yescharacteristic
1096C2×C22⋊C4C22×D1111yescharacteristic
1097C2×C42—42no—
1098C2×C42—111no—
1099C2×C42—111no—
1100C2×C42—111no—
1101C2×C42C22×D1111yescharacteristic
1102C2×C42C22×D1111yescharacteristic
1103C2×C42C22×D1111yescharacteristic
1104C2×C42C22×D1111yescharacteristic
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95C22×D1111yescharacteristic
1142#95C22×D1111yescharacteristic
1143#95C22×D1111yescharacteristic
1144#95C22×D1111yescharacteristic
1145#95C22×D1111yescharacteristic
1146#95C22×D1111yescharacteristic
1147#95C22×D1111yescharacteristic
1148#95C22×D1111yescharacteristic
1149C2×C11—24no—
1150C2×C11—81no—
1151C2×C11—81no—
1152C2×C11C2×#53811yescharacteristic
1153C2×C11#349111yescharacteristic
1154C2×C11#350511yescharacteristic
1155C2×C11#353411yescharacteristic
1156C2×C11#354211yescharacteristic
1157C2×C11#354511yescharacteristic
1158C2×C11#356011yescharacteristic
1159D11—42no—
1160D11—42no—
1161D11—81no—
1162C24—111no—
1163C24—111no—
1164C24—114no—
1165C24—111no—
1166C24—222no—
1167C24—222no—
1168C24—222no—
1169C24—441no—
1170C24—441no—
1171C24—441no—
1172C24—441no—
1173C24—441no—
1174C24—441no—
1175C24—441no—
1176C24—441no—
1177C24—441no—
1178C24—441no—
1179C24C23×D1111yescharacteristic
1180C24C23×D1111yescharacteristic
1181C24C23×D1111yescharacteristic
1182C2×Q8—22no—
1183C2×Q8—41no—
1184C2×Q8—41no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—222no—
1195C2×D4—222no—
1196C2×D4—222no—
1197C2×D4—222no—
1198C2×D4—222no—
1199C2×D4—222no—
1200C2×D4—222no—
1201C2×D4—441no—
1202C2×D4—441no—
1203C2×D4—441no—
1204C2×D4—441no—
1205C2×D4—441no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4—441no—
1212C2×D4—4416no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—111no—
1233C22×C4—111no—
1234C22×C4—111no—
1235C22×C4—222no—
1236C22×C4—222no—
1237C22×C4—222no—
1238C22×C4—222no—
1239C22×C4—222no—
1240C22×C4—222no—
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×C4C23×D1111yescharacteristic
1257C22×C4C23×D1111yescharacteristic
1258C22×C4C23×D1111yescharacteristic
1259C22×C4C23×D1111yescharacteristic
1260C22×C4C23×D1111yescharacteristic
1261C22×C4C23×D1111yescharacteristic
1262C22×C4C23×D1111yescharacteristic
1263C22×C4C23×D1111yescharacteristic
1264C22×C4C23×D1111yescharacteristic
1265C22×C4C23×D1111yescharacteristic
1266C22×C4C23×D1111yescharacteristic
1267C22×C4C23×D1111yescharacteristic
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—222no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C4⋊C4—441no—
1278C4⋊C4—441no—
1279C4⋊C4—441no—
1280C4⋊C4—441no—
1281C4⋊C4—441no—
1282C4⋊C4—441no—
1283C4⋊C4—441no—
1284C4⋊C4—441no—
1285C4⋊C4—441no—
1286C4⋊C4—441no—
1287C4⋊C4—441no—
1288C4⋊C4—441no—
1289C4⋊C4—441no—
1290C4⋊C4—441no—
1291C4⋊C4—441no—
1292C4⋊C4—441no—
1293C4⋊C4—441no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—222no—
1307C22⋊C4—222no—
1308C22⋊C4—222no—
1309C22⋊C4—222no—
1310C22⋊C4—222no—
1311C22⋊C4—222no—
1312C22⋊C4—222no—
1313C22⋊C4—222no—
1314C22⋊C4—222no—
1315C22⋊C4—222no—
1316C22⋊C4—222no—
1317C22⋊C4—222no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4—441no—
1323C22⋊C4—441no—
1324C22⋊C4—441no—
1325C22⋊C4—441no—
1326C22⋊C4—441no—
1327C22⋊C4—441no—
1328C22⋊C4—441no—
1329C22⋊C4—441no—
1330C22⋊C4—441no—
1331C22⋊C4—441no—
1332C22⋊C4—441no—
1333C22⋊C4—441no—
1334C22⋊C4—441no—
1335C22⋊C4—441no—
1336C22⋊C4—441no—
1337C22⋊C4—441no—
1338C22⋊C4—441no—
1339C22⋊C4—441no—
1340C22⋊C4—441no—
1341C22⋊C4—441no—
1342C22⋊C4—441no—
1343C22⋊C4—441no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4—441no—
1349C22⋊C4—441no—
1350C42—22no—
1351C42—22no—
1352C42—41no—
1353C42—41no—
1354C42—441no—
1355C42—441no—
1356C42—441no—
1357C11#3677911yescharacteristic, complemented, Sylow
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—112no—
1377C23—112no—
1378C23—221no—
1379C23—221no—
1380C23—221no—
1381C23—221no—
1382C23—221no—
1383C23—221no—
1384C23—221no—
1385C23—221no—
1386C23—221no—
1387C23—221no—
1388C23—221no—
1389C23—221no—
1390C23—228no—
1391C23—221no—
1392C23—221no—
1393C23—221no—
1394C23—221no—
1395C23—221no—
1396C23—221no—
1397C23—221no—
1398C23—444no—
1399C23—444no—
1400C23—444no—
1401C23—882no—
1402C23—882no—
1403C23—882no—
1404C23—882no—
1405C23—882no—
1406C23—882no—
1407C23—882no—
1408C23—882no—
1409C23—882no—
1410C23—882no—
1411C23#6703712yes—
1412C23#41×D1112yes—
1413C23#6704212yes—
1414C23C24×D1111yescharacteristic
1415Q8—82no—
1416D4—44no—
1417D4—44no—
1418D4—82no—
1419D4—444no—
1420D4—444no—
1421D4—444no—
1422D4—882no—
1423D4—882no—
1424D4—882no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—444no—
1503C2×C4—444no—
1504C2×C4—882no—
1505C2×C4—882no—
1506C2×C4—882no—
1507C2×C4—882no—
1508C2×C4—882no—
1509C2×C4#6703712yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—222no—
1531C22—222no—
1532C22—222no—
1533C22—222no—
1534C22—222no—
1535C22—222no—
1536C22—441no—
1537C22—441no—
1538C22—441no—
1539C22—441no—
1540C22—441no—
1541C22—441no—
1542C22—441no—
1543C22—441no—
1544C22—441no—
1545C22—441no—
1546C22—441no—
1547C22—441no—
1548C22—441no—
1549C22—441no—
1550C22—441no—
1551C22—888no—
1552C22—888no—
1553C22#1062320914yes—
1554C22C2×#6703711yescharacteristic
1555C22C2×#6703711yescharacteristic
1556C22C2×#41×D1111yescharacteristic
1557C22C2×#6704211yescharacteristic
1558C22#1062345311yescharacteristic
1559C22#1062345311yescharacteristic
1560C22#1062345311yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—441no—
1574C4—441no—
1575C4—441no—
1576C4—441no—
1577C4—441no—
1578C4—441no—
1579C4—441no—
1580C4—441no—
1581C4—441no—
1582C4—441no—
1583C4—441no—
1584C4—441no—
1585C4—441no—
1586C2—24no—
1587C2—81no—
1588C2—81no—
1589C2—442no—
1590C2—442no—
1591C2—881no—
1592C2C2×#1062320911yescharacteristic
1593C2#1308230811yescharacteristic
1594C2#1308244411yescharacteristic
1595C2#1308280611yescharacteristic
1596C2#1308292411yescharacteristic
1597C2#1308296811yescharacteristic
1598C2#1308317211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2850C2
prime radical#13071987C2
hypercenter#2850D11
hypocenterC11#36779
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2850

Complements

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

NH ≅ G/Ntype
1. #13076931C2semidirect
2. #13076277C2semidirect
3. #13076275C2semidirect
4. #13076231C2semidirect
5. #13076046C2semidirect
6. #13076036C2semidirect
7. #13076000C2semidirect
8. #13075935C2semidirect
9. #13075837C2semidirect
10. #13075749C2semidirect
11. #13075734C2semidirect
12. #13075655C2semidirect
13. #13075654C2semidirect
14. #13075609C2semidirect
15. #13075247C2semidirect
16. #13075008C2semidirect
17. #13074992C2semidirect
18. #13074400C2semidirect
19. #13074364C2semidirect
20. #13073174C2semidirect
21. #13072948C2semidirect
22. #13072364C2semidirect
23. #13072279C2semidirect
24. #13072173C2semidirect
25. #13072015C2semidirect
27. #13071942C2semidirect
28. #13071279C2semidirect
29. #13071190C2semidirect
30. C2×#10622553C2semidirect
31. C11×#2850C2semidirect
33. C2×C11×#124C22semidirect
34. C2×C11×C22⋊Q8C22semidirect
36. C22×C42×C11C22semidirect
37. C2×#66999C22semidirect
42. C2×#66988C22semidirect
43. C2×D4×Dic11C22semidirect
47. C22×Dic11⋊C4C22semidirect
50. C2×#66929C22semidirect
51. C11×#391C22semidirect
52. C11×#390C22semidirect
53. C11×#388C22semidirect
54. C11×#388C22semidirect
55. C11×#388C22semidirect
56. C11×#388C22semidirect
59. C11×#386C22semidirect
60. C11×#386C22semidirect
61. C11×#382C22semidirect
63. #10622844C22semidirect
64. #10622843C22semidirect
66. #10622835C22semidirect
69. #10622833C22semidirect
73. #10622823C22semidirect
74. #10622823C22semidirect
75. #10622823C22semidirect
76. C2×C11⋊#95C22semidirect
77. C2×C11⋊#95C22semidirect
80. #10622606C22semidirect
83. #10622603C22semidirect
84. #10622603C22semidirect
86. #10622602C22semidirect
87. #10622602C22semidirect
88. #10622600C22semidirect
89. #10622599C22semidirect
90. #10622599C22semidirect
91. #10622597C22semidirect
92. #10622590C22semidirect
93. #10622585C22semidirect
96. #10622574C22semidirect
101. #10622572C22semidirect
102. #10622572C22semidirect
105. #10622571C22semidirect
106. #10622571C22semidirect
108. #10622570C22semidirect
112. #10622569C22semidirect
113. #10622569C22semidirect
120. #10622566C22semidirect
121. #10622565C22semidirect
122. #10622565C22semidirect
123. #10622565C22semidirect
124. #10622565C22semidirect
125. #10622565C22semidirect
126. #10622563C22semidirect
127. #10622562C22semidirect
128. #10622562C22semidirect
129. #10622561C22semidirect
130. #10622561C22semidirect
131. #10622561C22semidirect
132. #10622558C22semidirect
133. #10622558C22semidirect
134. #10622557C22semidirect
135. #10622556C22semidirect
136. #10622556C22semidirect
137. #10622555C22semidirect
138. #10622555C22semidirect
139. C22⋊C4×Dic11C22semidirect
144. #10622553C22semidirect
145. #10622553C22semidirect
146. #10622553C22semidirect
147. #10622553C22semidirect
148. #10622553C22semidirect
149. #10622553C22semidirect
150. #10622553C22semidirect
151. #10622550C22semidirect
152. #10622546C22semidirect
153. #10622546C22semidirect
154. #10622546C22semidirect
155. #10622289C22semidirect
156. #10622289C22semidirect
159. #10622287C22semidirect
163. #10622283C22semidirect
164. #10622283C22semidirect
166. #10622282C22semidirect
169. #10622280C22semidirect
170. #10622280C22semidirect
175. C11⋊#401C22semidirect
176. #10622272C22semidirect
177. #10622271C22semidirect
178. #10622271C22semidirect
179. #10622271C22semidirect
180. #10622270C22semidirect
181. #10622270C22semidirect
182. #10622270C22semidirect
183. #10622270C22semidirect
184. #10622266C22semidirect
185. #10622265C22semidirect
186. #10622264C22semidirect
560. #2850D11semidirect
744. C2×#124C2×D11semidirect
749. C2×C22⋊Q8C2×D11semidirect
760. C22×C42C2×D11semidirect
810. #391C2×D11semidirect
813. #390C2×D11semidirect
836. #388C2×D11semidirect
837. #388C2×D11semidirect
838. #388C2×D11semidirect
839. #388C2×D11semidirect
864. #386C2×D11semidirect
865. #386C2×D11semidirect
878. #382C2×D11semidirect
1357. C11#36779semidirect

Maximal subgroups

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

subgroupindex
#130769312
#130762772
#130762752
#130762312
#130760462
#130760362
#130760002
#130759352
#130758372
#130757492
#130757342
#130756552
#130756542
#130756092
#130752472
#130750082
#130749922
#130744002
#130743642
#130731742
#130729482
#130723642
#130722792
#130721732
#130720152
#130719872
#130719422
#130712792
#130711902
C2×#106225532
C11×#28502
#3677911