Finite Group Databasebeta

← #14962143

Subgroups — #14962143

Order 2816.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076911C211yesmaximal, characteristic, complemented
2#13076897C211yesmaximal, characteristic, complemented
3#13076267C211yesmaximal, characteristic, complemented
4#13076267C211yesmaximal, characteristic, complemented
5#13076092C211yesmaximal, characteristic, complemented
6#13076004C211yesmaximal, characteristic, complemented
7#13075897C211yesmaximal, characteristic, complemented
8#13075836C211yesmaximal, characteristic, complemented
9#13075826C211yesmaximal, characteristic, complemented
10#13075755C211yesmaximal, characteristic, complemented
11#13075687C211yesmaximal, characteristic, complemented
12#13075377C211yesmaximal, characteristic, complemented
13#13075320C211yesmaximal, characteristic, complemented
14#13075301C211yesmaximal, characteristic, complemented
15#13075226C211yesmaximal, characteristic, complemented
16#13075226C211yesmaximal, characteristic, complemented
17#13075052C211yesmaximal, characteristic, complemented
18#13074849C211yesmaximal, characteristic, complemented
19#13074402C211yesmaximal, characteristic, complemented
20#13074364C211yesmaximal, characteristic, complemented
21#13073542C211yesmaximal, characteristic, complemented
22#13073502C211yesmaximal, characteristic, complemented
23#13072340C211yesmaximal, characteristic, complemented
24#13072169C211yesmaximal, characteristic, complemented
25#13072154C211yesmaximal, characteristic, complemented
26#13072095C211yesmaximal, characteristic, complemented
27#13072080C211yesmaximal, characteristic, complemented
28#13072056C211yesmaximal, characteristic, complemented
29#13071319C211yesmaximal, characteristic, complemented
30C2×#10622281C211yesmaximal, characteristic, complemented
31C11×#2318C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×#66992C2211yescharacteristic
35C2×#66992C2211yescharacteristic
36C2×#66990C2211yescharacteristic
37C2×#66988C2211yescharacteristic
38C2×#66983C2211yescharacteristic
39C2×#66983C2211yescharacteristic, complemented
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C22×(C2×D11)⋊C4C2211yescharacteristic
43C22×(C2×D11)⋊C4C2211yescharacteristic
44C22×C4⋊Dic11C2211yescharacteristic
45C22×Dic11⋊C4C2211yescharacteristic
46C2×#66947C2211yescharacteristic
47C2×#66947C2211yescharacteristic
48C2×#66947C2211yescharacteristic
49C2×#66939C2211yescharacteristic
50C2×#66939C2211yescharacteristic
51C2×#66937C2211yescharacteristic
52C2×#66937C2211yescharacteristic
53C2×#66937C2211yescharacteristic
54C2×#66935C2211yescharacteristic
55C2×#66935C2211yescharacteristic
56C2×#66923C2211yescharacteristic, complemented
57C11×#388C2211yescharacteristic, complemented
58C11×#388C2211yescharacteristic, complemented
59C11×#387C2211yescharacteristic, complemented
60C11×#387C2211yescharacteristic, complemented
61C11×#386C2211yescharacteristic
62C11×#386C2211yescharacteristic
63C11×#385C2211yescharacteristic
64C11×#385C2211yescharacteristic
65C11×#383C2211yescharacteristic, complemented
66C11×#382C2211yescharacteristic, complemented
67C11×#381C2211yescharacteristic, complemented
68C11×#380C2211yescharacteristic, complemented
69C4×C11×C22⋊C4C2211yescharacteristic
70C2×C11×#95C2211yescharacteristic
71#10622826C2211yescharacteristic
72#10622826C2211yescharacteristic
73#10622826C2211yescharacteristic
74#10622826C2211yescharacteristic
75#10622825C2211yescharacteristic
76#10622825C2211yescharacteristic, complemented
77C2×C11⋊#95C2211yescharacteristic
78#10622607C2211yescharacteristic
79#10622607C2211yescharacteristic
80#10622607C2211yescharacteristic, complemented
81#10622607C2211yescharacteristic, complemented
82#10622606C2211yescharacteristic, complemented
83#10622605C2211yescharacteristic
84#10622605C2211yescharacteristic, complemented
85#10622605C2211yescharacteristic, complemented
86#10622604C2211yescharacteristic
87#10622603C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic, complemented
91#10622597C2211yescharacteristic, complemented
92#10622597C2211yescharacteristic, complemented
93#10622597C2211yescharacteristic, complemented
94#10622594C2211yescharacteristic, complemented
95#10622574C2211yescharacteristic
96#10622574C2211yescharacteristic
97#10622574C2211yescharacteristic, complemented
98#10622574C2211yescharacteristic, complemented
99#10622573C2211yescharacteristic
100#10622572C2211yescharacteristic
101#10622572C2211yescharacteristic, complemented
102#10622572C2211yescharacteristic, complemented
103#10622572C2211yescharacteristic, complemented
104#10622571C2211yescharacteristic
105#10622571C2211yescharacteristic
106#10622570C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic, complemented
110#10622568C2211yescharacteristic
111#10622564C2211yescharacteristic, complemented
112#10622561C2211yescharacteristic, complemented
113#10622561C2211yescharacteristic, complemented
114#10622561C2211yescharacteristic, complemented
115#10622559C2211yescharacteristic
116#10622559C2211yescharacteristic
117#10622556C2211yescharacteristic
118#10622555C2211yescharacteristic
119#10622555C2211yescharacteristic
120#10622553C2211yescharacteristic
121#10622553C2211yescharacteristic
122#10622552C2211yescharacteristic
123#10622552C2211yescharacteristic
124#10622552C2211yescharacteristic
125#10622552C2211yescharacteristic
126#10622552C2211yescharacteristic, complemented
127#10622549C2211yescharacteristic, complemented
128#10622541C2211yescharacteristic, complemented
129#10622541C2211yescharacteristic, complemented
130#10622541C2211yescharacteristic, complemented
131#10622290C2211yescharacteristic
132#10622290C2211yescharacteristic
133#10622289C2211yescharacteristic
134#10622289C2211yescharacteristic, complemented
135#10622289C2211yescharacteristic, complemented
136#10622288C2211yescharacteristic
137#10622288C2211yescharacteristic, complemented
138#10622288C2211yescharacteristic, complemented
139#10622288C2211yescharacteristic, complemented
140#10622288C2211yescharacteristic, complemented
141#10622285C2211yescharacteristic
142#10622285C2211yescharacteristic
143#10622284C2211yescharacteristic
144#10622284C2211yescharacteristic
145#10622283C2211yescharacteristic, complemented
146#10622283C2211yescharacteristic, complemented
147#10622282C2211yescharacteristic
148#10622282C2211yescharacteristic
149#10622281C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622281C2211yescharacteristic
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622281C2211yescharacteristic, complemented
158#10622281C2211yescharacteristic, complemented
159#10622280C2211yescharacteristic
160#10622280C2211yescharacteristic
161#10622280C2211yescharacteristic, complemented
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic, complemented
170#10622277C2211yescharacteristic
171#10622277C2211yescharacteristic
172#10622277C2211yescharacteristic, complemented
173#10622273C2211yescharacteristic, complemented
174#10622273C2211yescharacteristic, complemented
175#10622273C2211yescharacteristic, complemented
176#10622273C2211yescharacteristic, complemented
177#10622273C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622270C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622270C2211yescharacteristic, complemented
182#10622270C2211yescharacteristic, complemented
183#10622268C2211yescharacteristic, complemented
184#10622266C2211yescharacteristic, complemented
185#10622266C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×C4×D11—42no—
208C22×C4×D11—42no—
209C22×C4×D11—42no—
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C4×D4×C11—24no—
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊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×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239#66992—42no—
240#66992—42no—
241#66990—42no—
242#66988—42no—
243#66983—24no—
244#66983—42no—
245C4×C22⋊D11—42no—
246C4×C22⋊D11—42no—
247C2×(C2×D11)⋊C4—24no—
248C2×(C2×D11)⋊C4—42no—
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
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×C4⋊Dic11—42no—
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×Dic11⋊C4—42no—
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×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318#66947—42no—
319#66947—42no—
320#66947—42no—
321#66939—42no—
322#66939—42no—
323#66937—42no—
324#66937—42no—
325#66937—42no—
326#66935—42no—
327#66935—42no—
328#66923—42no—
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
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369#36777—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C24×C11C2411yescharacteristic
372C23×D11—22no—
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—22no—
377C23×D11—41no—
378C23×D11—41no—
379C23×D11C2411yescharacteristic
380C23×D11C2411yescharacteristic
381C23×D11C2411yescharacteristic
382C23×D11C2411yescharacteristic
383C2×D4×C11—22no—
384C2×D4×C11—22no—
385C2×D4×C11—22no—
386C22×C4×C11—22no—
387C22×C4×C11—22no—
388C22×C4×C11—22no—
389C22×C4×C11—41no—
390C22×C4×C11—41no—
391C22×C4×C11—41no—
392C22×C4×C11—41no—
393C22×C4×C11—41no—
394C22×C4×C11—41no—
395C22×C4×C11—41no—
396C22×C4×C11—41no—
397C22×C4×C11#4114yes—
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C2×C22⋊D11—22no—
412C2×C22⋊D11—22no—
413C2×C22⋊D11—22no—
414C2×C22⋊D11—22no—
415C2×C22⋊D11—22no—
416C2×C22⋊D11—22no—
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C22×Dic11—22no—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—22no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C2×D44—22no—
451C2×D44—22no—
452C2×D44—22no—
453C2×D44—22no—
454C2×D44—22no—
455C2×D44—41no—
456C2×D44—41no—
457C2×D44—41no—
458C2×D44—41no—
459C2×D44—41no—
460C2×D44—41no—
461C2×D44—41no—
462C2×D44—41no—
463C2×D44—41no—
464C2×D44—41no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—416no—
484C11×C4⋊C4—22no—
485C11×C4⋊C4—41no—
486C11×C4⋊C4—41no—
487C11×C4⋊C4—41no—
488C11×C4⋊C4—41no—
489C11×C22⋊C4—22no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—41no—
494C11×C22⋊C4—41no—
495C11×C22⋊C4—41no—
496C11×C22⋊C4—41no—
497C42×C11—22no—
498C42×C11—41no—
499C42×C11—41no—
500C22⋊Dic11—22no—
501C22⋊Dic11—22no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
505C22⋊Dic11—41no—
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—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
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—
534(C2×D11)⋊C4—41no—
535(C2×D11)⋊C4—41no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542C4⋊Dic11—22no—
543C4⋊Dic11—22no—
544C4⋊Dic11—22no—
545C4⋊Dic11—41no—
546C4⋊Dic11—41no—
547C4⋊Dic11—41no—
548C4⋊Dic11—41no—
549C4⋊Dic11—41no—
550C4⋊Dic11—41no—
551C4⋊Dic11—41no—
552C4⋊Dic11—41no—
553Dic11⋊C4—22no—
554Dic11⋊C4—22no—
555Dic11⋊C4—41no—
556Dic11⋊C4—41no—
557Dic11⋊C4—41no—
558Dic11⋊C4—41no—
559Dic11⋊C4—41no—
560Dic11⋊C4—41no—
561Dic11⋊C4—41no—
562Dic11⋊C4—41no—
563Dic11⋊C4—41no—
564Dic11⋊C4—41no—
565Dic11⋊C4—41no—
566Dic11⋊C4—41no—
567Dic11⋊C4—41no—
568Dic11⋊C4—41no—
569Dic11⋊C4—41no—
570Dic11⋊C4—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573#2849—111no—
574#2847—111no—
575#2780—111no—
576#2780—111no—
577#2768—111no—
578#2761—111no—
579#2753—111no—
580#2749—111no—
581#2748—111no—
582#2743—111no—
583#2738—111no—
584#2711—111no—
585#2707—111no—
586#2706—111no—
587#2701—111no—
588#2701—111no—
589#2688—111no—
590#2671—111no—
591#2623—111no—
592#2618—111no—
593#2539—111no—
594#2534—111no—
595#2442—111no—
596#2425—111no—
597#2424—111no—
598#2419—111no—
599#2418—111no—
600#2416—111no—
601#2325—111no—
602#2318D1111yescharacteristic, complemented
603C2×#385—111no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11C2×#4112yes—
616C23×C11H(5,𝔽2)12yes—
617C23×C11H(5,𝔽2)12yes—
618C23×C11C2511yescharacteristic
619C22×D11—28no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—44no—
647C22×D11—44no—
648C22×D11—44no—
649C22×D11—44no—
650C22×D11—44no—
651C22×D11—44no—
652C22×D11H(5,𝔽2)12yes—
653C22×D112−1+412yes—
654D4×C11—44no—
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—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—44no—
693C2×C4×C11—44no—
694C2×C4×C11—82no—
695C2×C4×C11—82no—
696C2×C4×C11C2×#4112yes—
697C2×C4×C11C2×#4112yes—
698C22⋊D11—44no—
699C22⋊D11—44no—
700C22⋊D11—82no—
701C22⋊D11—82no—
702C22⋊D11—82no—
703C22⋊D11—82no—
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—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—44no—
740C2×Dic11—44no—
741C2×Dic11—82no—
742C2×Dic11H(5,𝔽2)12yes—
743D44—82no—
744D44—82no—
745D44—82no—
746D44—82no—
747D44—82no—
748C4×D11—44no—
749C4×D11—44no—
750C4×D11—44no—
751C4×D11—44no—
752C4×D11—82no—
753C4×D11—82no—
754C24×C4—111no—
755C2×#125—111no—
756C2×#123—111no—
757C2×#123—111no—
758C2×#123—111no—
759C2×#123—111no—
760C2×#123—111no—
761C2×#123—111no—
762C2×#121—111no—
763C2×#121—111no—
764C2×#121—111no—
765C2×#121—111no—
766C2×#121—111no—
767C2×#121—111no—
768C2×#121—111no—
769C2×#120—111no—
770C2×#120—111no—
771C2×#120—111no—
772C2×C4×D4—111no—
773C2×C4×D4—111no—
774C2×C4×D4C2×D1111yescharacteristic
775C22×C4⋊C4—111no—
776C22×C4⋊C4—111no—
777C22×C22⋊C4—111no—
778C22×C22⋊C4—111no—
779#400—111no—
780#400—111no—
781#400—111no—
782#400—111no—
783#400—111no—
784#399—111no—
785#399—111no—
786#399—111no—
787#399—111no—
788#399—111no—
789#398—111no—
790#398—111no—
791#398—111no—
792#398—111no—
793#398—111no—
794#398—111no—
795#398—111no—
796#398—111no—
797#397—111no—
798#397—111no—
799#397—111no—
800#397—111no—
801#397—111no—
802#397—111no—
803#396—111no—
804#396—111no—
805#396—111no—
806#396—111no—
807#396—111no—
808#396—111no—
809#396—111no—
810#396—111no—
811#396—111no—
812#396—111no—
813#394—111no—
814#394—111no—
815#394—111no—
816#394—111no—
817#394—111no—
818#394—111no—
819#394—111no—
820#394—111no—
821#394—111no—
822#394—111no—
823#394—111no—
824#392—111no—
825#392—111no—
826#392—111no—
827#390—111no—
828#390—111no—
829#390—111no—
830#390—111no—
831#390—111no—
832#390—111no—
833#389—111no—
834#389—111no—
835#389—111no—
836#389—111no—
837#388—111no—
838#388—111no—
839#388—111no—
840#388—111no—
841#388—111no—
842#388—111no—
843#388—111no—
844#388—111no—
845#388C2×D1111yescharacteristic, complemented
846#388C2×D1111yescharacteristic, complemented
847#387—111no—
848#387—111no—
849#387—111no—
850#387—111no—
851#387C2×D1111yescharacteristic, complemented
852#387C2×D1111yescharacteristic, complemented
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#386—111no—
863#386—111no—
864#386—111no—
865#386—111no—
866#386—111no—
867#386—111no—
868#386—111no—
869#386—111no—
870#386C2×D1111yescharacteristic
871#386C2×D1111yescharacteristic
872#385—111no—
873#385—111no—
874#385—111no—
875#385—111no—
876#385—111no—
877#385—111no—
878#385—111no—
879#385—111no—
880#385—111no—
881#385—111no—
882#385—111no—
883#385—111no—
884#385—111no—
885#385—111no—
886#385—111no—
887#385C2×D1111yescharacteristic
888#385C2×D1111yescharacteristic
889#383C2×D1111yescharacteristic, complemented
890#382—111no—
891#382C2×D1111yescharacteristic, complemented
892#381—111no—
893#381—111no—
894#381—111no—
895#381—111no—
896#381C2×D1111yescharacteristic, complemented
897#380—111no—
898#380—111no—
899#380—111no—
900#380—111no—
901#380—111no—
902#380—111no—
903#380—111no—
904#380C2×D1111yescharacteristic, complemented
905#379—111no—
906C4×C22⋊C4C2×D1111yescharacteristic
907C2×#95—111no—
908C2×#95C2×D1111yescharacteristic
909C22×C11—22no—
910C22×C11—22no—
911C22×C11—22no—
912C22×C11—22no—
913C22×C11—22no—
914C22×C11—22no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11#54014yes—
923C22×C11C22×#4111yescharacteristic
924C22×C11C2×H(5,𝔽2)11yescharacteristic
925C22×C11C2×H(5,𝔽2)11yescharacteristic
926C22×C11C2×H(5,𝔽2)11yescharacteristic
927C22×C11C2×H(5,𝔽2)11yescharacteristic
928C22×C11C2×2−1+411yescharacteristic
929C22×C11#58511yescharacteristic
930C2×D11—22no—
931C2×D11—22no—
932C2×D11—22no—
933C2×D11—22no—
934C2×D11—22no—
935C2×D11—22no—
936C2×D11—416no—
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—41no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C4×C11—22no—
960C4×C11—22no—
961C4×C11—41no—
962C4×C11—41no—
963C4×C11—41no—
964C4×C11—41no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972Dic11—22no—
973Dic11—41no—
974Dic11—41no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984C25—111no—
985C22×D4—111no—
986C22×D4—111no—
987C22×D4—111no—
988C22×D4—111no—
989C22×D4—111no—
990C22×D4—111no—
991C22×D4—111no—
992C22×D4—111no—
993C22×D4—111no—
994C22×D4—111no—
995C22×D4—111no—
996C22×D4C22×D1111yescharacteristic
997C23×C4—111no—
998C23×C4—111no—
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4—442no—
1007C23×C4—442no—
1008C23×C4—442no—
1009C23×C4C22×D1111yescharacteristic
1010C23×C4C22×D1111yescharacteristic
1011C23×C4C22×D1111yescharacteristic
1012C23×C4C22×D1111yescharacteristic
1013#125—442no—
1014#123—442no—
1015#123—442no—
1016#123—442no—
1017#123—442no—
1018#123—442no—
1019#123—442no—
1020#121—224no—
1021#121—442no—
1022#121—442no—
1023#121—442no—
1024#121—442no—
1025#121—442no—
1026#121—442no—
1027#120—442no—
1028#120—442no—
1029#120—442no—
1030C4×D4—24no—
1031C4×D4—442no—
1032C4×D4—442no—
1033C2×C4⋊C4—111no—
1034C2×C4⋊C4—111no—
1035C2×C4⋊C4—111no—
1036C2×C4⋊C4—111no—
1037C2×C4⋊C4—111no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—442no—
1063C2×C4⋊C4—442no—
1064C2×C4⋊C4C22×D1111yescharacteristic
1065C2×C4⋊C4C22×D1111yescharacteristic
1066C2×C4⋊C4C22×D1111yescharacteristic
1067C2×C4⋊C4C22×D1111yescharacteristic
1068C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—224no—
1112C2×C22⋊C4—442no—
1113C2×C22⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C22⋊C4C22×D1111yescharacteristic
1117C2×C22⋊C4C22×D1111yescharacteristic
1118C2×C22⋊C4C22×D1111yescharacteristic
1119C2×C22⋊C4C22×D1111yescharacteristic
1120C2×C22⋊C4C22×D1111yescharacteristic
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42C22×D1111yescharacteristic
1124C2×C42C22×D1111yescharacteristic
1125C2×C42C22×D1111yescharacteristic
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#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95C22×D1111yescharacteristic
1153#95C22×D1111yescharacteristic
1154#95C22×D1111yescharacteristic
1155#95C22×D1111yescharacteristic
1156#95C22×D1111yescharacteristic
1157#95C22×D1111yescharacteristic
1158#95C22×D1111yescharacteristic
1159#95C22×D1111yescharacteristic
1160#95C22×D1111yescharacteristic
1161#95C22×D1111yescharacteristic
1162#95C22×D1111yescharacteristic
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166C2×C11—24no—
1167C2×C11—81no—
1168C2×C11C2×#54011yescharacteristic
1169C2×C11#349211yescharacteristic
1170C2×C11#350511yescharacteristic
1171C2×C11#353211yescharacteristic
1172C2×C11#353411yescharacteristic
1173C2×C11#353511yescharacteristic
1174C2×C11#353611yescharacteristic
1175D11—42no—
1176D11—42no—
1177D11—81no—
1178D11—81no—
1179C24—111no—
1180C24—111no—
1181C24—111no—
1182C24—111no—
1183C24—222no—
1184C24—222no—
1185C24—222no—
1186C24—222no—
1187C24—222no—
1188C24—441no—
1189C24—441no—
1190C24C23×D1111yescharacteristic
1191C24C23×D1111yescharacteristic
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—222no—
1196C2×D4—222no—
1197C2×D4—222no—
1198C2×D4—222no—
1199C2×D4—222no—
1200C2×D4—222no—
1201C2×D4—222no—
1202C2×D4—222no—
1203C2×D4—222no—
1204C2×D4—222no—
1205C2×D4—222no—
1206C2×D4—222no—
1207C2×D4—222no—
1208C2×D4—222no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4—441no—
1212C2×D4—441no—
1213C2×D4—441no—
1214C2×D4—441no—
1215C2×D4—441no—
1216C2×D4—441no—
1217C2×D4—441no—
1218C2×D4—441no—
1219C2×D4—441no—
1220C2×D4—441no—
1221C2×D4—441no—
1222C2×D4—441no—
1223C2×D4—441no—
1224C2×D4—441no—
1225C2×D4—441no—
1226C2×D4—441no—
1227C2×D4—441no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—111no—
1240C22×C4—111no—
1241C22×C4—111no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—111no—
1250C22×C4—111no—
1251C22×C4—222no—
1252C22×C4—222no—
1253C22×C4—222no—
1254C22×C4—222no—
1255C22×C4—222no—
1256C22×C4—222no—
1257C22×C4—222no—
1258C22×C4—222no—
1259C22×C4—222no—
1260C22×C4—222no—
1261C22×C4—441no—
1262C22×C4—441no—
1263C22×C4—441no—
1264C22×C4—441no—
1265C22×C4—441no—
1266C22×C4—441no—
1267C22×C4—441no—
1268C22×C4—441no—
1269C22×C4—441no—
1270C22×C4—441no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4—441no—
1275C22×C4—4416no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4#433914yes—
1280C22×C4C23×D1111yescharacteristic
1281C22×C4C23×D1111yescharacteristic
1282C22×C4C23×D1111yescharacteristic
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C22×C4C23×D1111yescharacteristic
1291C22×C4C23×D1111yescharacteristic
1292C22×C4C23×D1111yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—222no—
1299C4⋊C4—222no—
1300C4⋊C4—222no—
1301C4⋊C4—222no—
1302C4⋊C4—222no—
1303C4⋊C4—441no—
1304C4⋊C4—441no—
1305C4⋊C4—441no—
1306C4⋊C4—441no—
1307C4⋊C4—441no—
1308C4⋊C4—441no—
1309C4⋊C4—441no—
1310C4⋊C4—441no—
1311C4⋊C4—441no—
1312C4⋊C4—441no—
1313C4⋊C4—441no—
1314C4⋊C4—441no—
1315C4⋊C4—441no—
1316C4⋊C4—441no—
1317C4⋊C4—441no—
1318C4⋊C4—441no—
1319C4⋊C4—441no—
1320C4⋊C4—441no—
1321C4⋊C4—441no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
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—441no—
1349C22⋊C4—441no—
1350C22⋊C4—441no—
1351C22⋊C4—441no—
1352C22⋊C4—441no—
1353C22⋊C4—441no—
1354C22⋊C4—441no—
1355C22⋊C4—441no—
1356C22⋊C4—441no—
1357C22⋊C4—441no—
1358C22⋊C4—441no—
1359C22⋊C4—441no—
1360C22⋊C4—441no—
1361C22⋊C4—441no—
1362C22⋊C4—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4—441no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C22⋊C4—441no—
1373C22⋊C4—441no—
1374C22⋊C4—441no—
1375C22⋊C4—441no—
1376C22⋊C4—441no—
1377C42—22no—
1378C42—41no—
1379C42—41no—
1380C42—441no—
1381C42—441no—
1382C11#3677711yescharacteristic, complemented, Sylow
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—112no—
1395C23—112no—
1396C23—228no—
1397C23—221no—
1398C23—221no—
1399C23—221no—
1400C23—221no—
1401C23—221no—
1402C23—221no—
1403C23—221no—
1404C23—221no—
1405C23—221no—
1406C23—221no—
1407C23—221no—
1408C23—221no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—444no—
1424C23—444no—
1425C23—444no—
1426C23—444no—
1427C23—444no—
1428C23—444no—
1429C23C2×#433912yes—
1430C23#6704212yes—
1431C23#6704212yes—
1432C23C24×D1111yescharacteristic
1433D4—44no—
1434D4—444no—
1435D4—444no—
1436D4—882no—
1437D4—882no—
1438D4—882no—
1439D4—882no—
1440D4—882no—
1441D4—882no—
1442D4—882no—
1443D4—882no—
1444D4—882no—
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—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—82no—
1485C2×C4—82no—
1486C2×C4—112no—
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—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—444no—
1523C2×C4—444no—
1524C2×C4—444no—
1525C2×C4—444no—
1526C2×C4—444no—
1527C2×C4—444no—
1528C2×C4—882no—
1529C2×C4—882no—
1530C2×C4—882no—
1531C2×C4C2×#433912yes—
1532C2×C4C2×#433912yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—222no—
1547C22—222no—
1548C22—222no—
1549C22—222no—
1550C22—222no—
1551C22—222no—
1552C22—4416no—
1553C22—441no—
1554C22—441no—
1555C22—441no—
1556C22—441no—
1557C22—441no—
1558C22—441no—
1559C22—441no—
1560C22—441no—
1561C22—441no—
1562C22—441no—
1563C22—441no—
1564C22—441no—
1565C22—441no—
1566C22—441no—
1567C22—441no—
1568C22—441no—
1569C22—441no—
1570C22—441no—
1571C22—441no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22#1062306614yes—
1576C22C22×#433911yescharacteristic
1577C22C2×#6704211yescharacteristic
1578C22C2×#6704211yescharacteristic
1579C22D11×H(5,𝔽2)11yescharacteristic
1580C22D11×H(5,𝔽2)11yescharacteristic
1581C22#1062345511yescharacteristic
1582C22D11×2−1+411yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—222no—
1597C4—441no—
1598C4—441no—
1599C4—441no—
1600C4—441no—
1601C4—441no—
1602C4—441no—
1603C4—441no—
1604C4—441no—
1605C4—441no—
1606C4—441no—
1607C4—441no—
1608C2—24no—
1609C2—81no—
1610C2—442no—
1611C2—442no—
1612C2—881no—
1613C2—881no—
1614C2C2×#1062306611yescharacteristic
1615C2#1308231911yescharacteristic
1616C2#1308244611yescharacteristic
1617C2#1308276711yescharacteristic
1618C2#1308280711yescharacteristic
1619C2#1308282311yescharacteristic
1620C2#1308284011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2318C2
hypercenter#2318D11
hypocenterC11#36777
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2318

Complements

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

NH ≅ G/Ntype
1. #13076911C2semidirect
2. #13076897C2semidirect
3. #13076267C2semidirect
4. #13076267C2semidirect
5. #13076092C2semidirect
6. #13076004C2semidirect
7. #13075897C2semidirect
8. #13075836C2semidirect
9. #13075826C2semidirect
10. #13075755C2semidirect
11. #13075687C2semidirect
12. #13075377C2semidirect
13. #13075320C2semidirect
14. #13075301C2semidirect
15. #13075226C2semidirect
16. #13075226C2semidirect
17. #13075052C2semidirect
18. #13074849C2semidirect
19. #13074402C2semidirect
20. #13074364C2semidirect
21. #13073542C2semidirect
22. #13073502C2semidirect
23. #13072340C2semidirect
24. #13072169C2semidirect
25. #13072154C2semidirect
26. #13072095C2semidirect
27. #13072080C2semidirect
28. #13072056C2semidirect
29. #13071319C2semidirect
30. C2×#10622281C2semidirect
31. C11×#2318C2semidirect
39. C2×#66983C22semidirect
56. C2×#66923C22semidirect
57. C11×#388C22semidirect
58. C11×#388C22semidirect
59. C11×#387C22semidirect
60. C11×#387C22semidirect
65. C11×#383C22semidirect
66. C11×#382C22semidirect
67. C11×#381C22semidirect
68. C11×#380C22semidirect
76. #10622825C22semidirect
80. #10622607C22semidirect
81. #10622607C22semidirect
82. #10622606C22semidirect
84. #10622605C22semidirect
85. #10622605C22semidirect
90. #10622602C22semidirect
91. #10622597C22semidirect
92. #10622597C22semidirect
93. #10622597C22semidirect
94. #10622594C22semidirect
97. #10622574C22semidirect
98. #10622574C22semidirect
101. #10622572C22semidirect
102. #10622572C22semidirect
103. #10622572C22semidirect
109. #10622569C22semidirect
111. #10622564C22semidirect
112. #10622561C22semidirect
113. #10622561C22semidirect
114. #10622561C22semidirect
126. #10622552C22semidirect
127. #10622549C22semidirect
128. #10622541C22semidirect
129. #10622541C22semidirect
130. #10622541C22semidirect
134. #10622289C22semidirect
135. #10622289C22semidirect
137. #10622288C22semidirect
138. #10622288C22semidirect
139. #10622288C22semidirect
140. #10622288C22semidirect
145. #10622283C22semidirect
146. #10622283C22semidirect
157. #10622281C22semidirect
158. #10622281C22semidirect
161. #10622280C22semidirect
168. #10622278C22semidirect
169. #10622278C22semidirect
172. #10622277C22semidirect
173. #10622273C22semidirect
174. #10622273C22semidirect
175. #10622273C22semidirect
176. #10622273C22semidirect
177. #10622273C22semidirect
178. #10622270C22semidirect
179. #10622270C22semidirect
180. #10622270C22semidirect
181. #10622270C22semidirect
182. #10622270C22semidirect
183. #10622268C22semidirect
184. #10622266C22semidirect
185. #10622266C22semidirect
186. #10622260C22semidirect
602. #2318D11semidirect
845. #388C2×D11semidirect
846. #388C2×D11semidirect
851. #387C2×D11semidirect
852. #387C2×D11semidirect
889. #383C2×D11semidirect
891. #382C2×D11semidirect
896. #381C2×D11semidirect
904. #380C2×D11semidirect
1382. C11#36777semidirect

Maximal subgroups

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

subgroupindex
#130769112
#130768972
#130762672
#130760922
#130760042
#130758972
#130758362
#130758262
#130757552
#130756872
#130753772
#130753202
#130753012
#130752262
#130750522
#130748492
#130744022
#130743642
#130735422
#130735022
#130723402
#130721692
#130721542
#130720952
#130720802
#130720562
#130713192
C2×#106222812
C11×#23182
#3677711