Finite Group Databasebeta

← #14962124

Subgroups — #14962124

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#13076905C211yesmaximal, characteristic, complemented
2#13076895C211yesmaximal, characteristic, complemented
3#13076269C211yesmaximal, characteristic, complemented
4#13076262C211yesmaximal, characteristic, complemented
5#13076102C211yesmaximal, characteristic, complemented
6#13076005C211yesmaximal, characteristic, complemented
7#13075892C211yesmaximal, characteristic, complemented
8#13075843C211yesmaximal, characteristic, complemented
9#13075826C211yesmaximal, characteristic, complemented
10#13075759C211yesmaximal, characteristic, complemented
11#13075690C211yesmaximal, characteristic, complemented
12#13075380C211yesmaximal, characteristic, complemented
13#13075315C211yesmaximal, characteristic, complemented
14#13075311C211yesmaximal, characteristic, complemented
15#13075225C211yesmaximal, characteristic, complemented
16#13075225C211yesmaximal, characteristic, complemented
17#13075048C211yesmaximal, characteristic, complemented
18#13074401C211yesmaximal, characteristic, complemented
19#13074357C211yesmaximal, characteristic, complemented
20#13073541C211yesmaximal, characteristic, complemented
21#13073504C211yesmaximal, characteristic, complemented
22#13072335C211yesmaximal, characteristic, complemented
23#13072168C211yesmaximal, characteristic, complemented
24#13072149C211yesmaximal, characteristic, complemented
25#13072092C211yesmaximal, characteristic, complemented
26#13072071C211yesmaximal, characteristic, complemented
27#13072052C211yesmaximal, characteristic, complemented
28#13071318C211yesmaximal, characteristic, complemented
29#13071251C211yesmaximal, characteristic, complemented
30D11×#385C211yesmaximal, characteristic, complemented
31C11×#2671C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic
36C2×C11×#121C2211yescharacteristic, complemented
37C2×#66991C2211yescharacteristic
38C2×#66991C2211yescharacteristic
39C2×#66991C2211yescharacteristic
40C2×#66991C2211yescharacteristic
41C2×#66990C2211yescharacteristic
42C2×#66990C2211yescharacteristic
43C2×#66990C2211yescharacteristic
44C2×#66988C2211yescharacteristic
45C2×#66988C2211yescharacteristic
46C2×C4×C22⋊D11C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic
48C2×C4⋊C4×D11C2211yescharacteristic
49C2×C4⋊C4×D11C2211yescharacteristic
50C2×#66942C2211yescharacteristic, complemented
51C2×#66936C2211yescharacteristic
52C2×#66936C2211yescharacteristic
53C2×#66936C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×C22⋊C4×D11C2211yescharacteristic
56C2×C22⋊C4×D11C2211yescharacteristic
57C11×#399C2211yescharacteristic, complemented
58C11×#398C2211yescharacteristic, complemented
59C11×#394C2211yescharacteristic
60C11×#394C2211yescharacteristic, complemented
61C11×#394C2211yescharacteristic, complemented
62C11×#392C2211yescharacteristic
63C11×#386C2211yescharacteristic
64C11×#386C2211yescharacteristic, complemented
65C11×#385C2211yescharacteristic
66C11×#385C2211yescharacteristic, complemented
67C11×#380C2211yescharacteristic, complemented
68#10622836C2211yescharacteristic
69#10622836C2211yescharacteristic
70#10622835C2211yescharacteristic
71#10622835C2211yescharacteristic
72#10622835C2211yescharacteristic
73#10622835C2211yescharacteristic, complemented
74#10622835C2211yescharacteristic, complemented
75#10622835C2211yescharacteristic, complemented
76#10622834C2211yescharacteristic
77#10622834C2211yescharacteristic
78#10622834C2211yescharacteristic, complemented
79#10622833C2211yescharacteristic
80#10622833C2211yescharacteristic
81#10622833C2211yescharacteristic, complemented
82#10622833C2211yescharacteristic, complemented
83#10622826C2211yescharacteristic
84#10622826C2211yescharacteristic
85#10622825C2211yescharacteristic
86#10622825C2211yescharacteristic, complemented
87#10622824C2211yescharacteristic
88#10622824C2211yescharacteristic, complemented
89#10622824C2211yescharacteristic, complemented
90#10622823C2211yescharacteristic
91#10622823C2211yescharacteristic, complemented
92#10622607C2211yescharacteristic
93#10622605C2211yescharacteristic
94#10622602C2211yescharacteristic
95#10622602C2211yescharacteristic
96#10622602C2211yescharacteristic
97#10622602C2211yescharacteristic
98#10622602C2211yescharacteristic
99#10622602C2211yescharacteristic
100#10622602C2211yescharacteristic
101#10622602C2211yescharacteristic
102#10622600C2211yescharacteristic
103#10622600C2211yescharacteristic
104#10622599C2211yescharacteristic, complemented
105#10622598C2211yescharacteristic, complemented
106#10622598C2211yescharacteristic, complemented
107#10622597C2211yescharacteristic, complemented
108#10622597C2211yescharacteristic, complemented
109#10622597C2211yescharacteristic, complemented
110#10622596C2211yescharacteristic, complemented
111#10622595C2211yescharacteristic, complemented
112#10622594C2211yescharacteristic, complemented
113#10622591C2211yescharacteristic, complemented
114#10622591C2211yescharacteristic, complemented
115#10622585C2211yescharacteristic, complemented
116#10622585C2211yescharacteristic, complemented
117#10622572C2211yescharacteristic
118#10622572C2211yescharacteristic
119#10622571C2211yescharacteristic
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622569C2211yescharacteristic
129#10622569C2211yescharacteristic
130#10622569C2211yescharacteristic
131#10622569C2211yescharacteristic
132#10622569C2211yescharacteristic
133#10622568C2211yescharacteristic
134#10622566C2211yescharacteristic, complemented
135#10622566C2211yescharacteristic, complemented
136#10622565C2211yescharacteristic
137#10622565C2211yescharacteristic, complemented
138#10622565C2211yescharacteristic, complemented
139#10622565C2211yescharacteristic, complemented
140#10622564C2211yescharacteristic
141#10622563C2211yescharacteristic
142#10622562C2211yescharacteristic
143#10622562C2211yescharacteristic, complemented
144#10622561C2211yescharacteristic
145#10622561C2211yescharacteristic, complemented
146#10622561C2211yescharacteristic, complemented
147#10622561C2211yescharacteristic, complemented
148#10622561C2211yescharacteristic, complemented
149#10622561C2211yescharacteristic, complemented
150#10622561C2211yescharacteristic, complemented
151#10622561C2211yescharacteristic, complemented
152#10622559C2211yescharacteristic
153#10622559C2211yescharacteristic, complemented
154#10622558C2211yescharacteristic
155#10622558C2211yescharacteristic, complemented
156#10622558C2211yescharacteristic, complemented
157#10622558C2211yescharacteristic, complemented
158#10622557C2211yescharacteristic
159#10622557C2211yescharacteristic, complemented
160#10622557C2211yescharacteristic, complemented
161#10622556C2211yescharacteristic
162#10622555C2211yescharacteristic, complemented
163#10622290C2211yescharacteristic
164#10622289C2211yescharacteristic
165#10622283C2211yescharacteristic
166#10622282C2211yescharacteristic
167#10622281C2211yescharacteristic
168#10622281C2211yescharacteristic
169#10622280C2211yescharacteristic
170#10622280C2211yescharacteristic
171#10622279C2211yescharacteristic
172#10622277C2211yescharacteristic
173D11×#95C2211yescharacteristic
174D11×#95C2211yescharacteristic
175#10622274C2211yescharacteristic, complemented
176#10622273C2211yescharacteristic, complemented
177#10622272C2211yescharacteristic, complemented
178#10622271C2211yescharacteristic, complemented
179#10622270C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622264C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622263C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C22×C4×D11—42no—
206C22×C4×D11—42no—
207C22×C4×D11—42no—
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C11×#123—42no—
217C11×#121—42no—
218C11×#121—42no—
219C11×#121—42no—
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
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
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263#66991—24no—
264#66991—42no—
265#66991—42no—
266#66991—42no—
267#66990—42no—
268#66990—42no—
269#66990—42no—
270#66988—42no—
271#66988—42no—
272C4×C22⋊D11—24no—
273C4×C22⋊D11—42no—
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×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⋊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×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C4⋊C4×D11—42no—
321C4⋊C4×D11—42no—
322#66942—42no—
323#66936—42no—
324#66936—42no—
325#66936—42no—
326(C22⋊D11)⋊C4—42no—
327C22⋊C4×D11—24no—
328C22⋊C4×D11—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
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—22no—
377C23×D11—22no—
378C23×D11—22no—
379C23×D11—41no—
380C23×D11—41no—
381C23×D11C2411yescharacteristic
382C23×D11C2411yescharacteristic
383C2×D4×C11—22no—
384C2×D4×C11—22no—
385C2×D4×C11—22no—
386C2×D4×C11—22no—
387C2×D4×C11—22no—
388C2×D4×C11—41no—
389C2×D4×C11—41no—
390C2×D4×C11—41no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C2×D4×C11—41no—
396C2×D4×C11—41no—
397C2×D4×C11—41no—
398C2×D4×C11—41no—
399C2×D4×C11—41no—
400C2×D4×C11—41no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—41no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C22×Dic11—22no—
440C22×Dic11—41no—
441C22×Dic11—41no—
442C22×Dic11—41no—
443C22×Dic11—41no—
444C22×Dic11—41no—
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—41no—
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—416no—
483C2×C4×D11#4114yes—
484C11×C4⋊C4—22no—
485C11×C4⋊C4—22no—
486C11×C4⋊C4—41no—
487C11×C4⋊C4—41no—
488C11×C4⋊C4—41no—
489C11×C4⋊C4—41no—
490C11×C4⋊C4—41no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—41no—
495C11×C22⋊C4—41no—
496C11×C22⋊C4—41no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4—41no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4—41no—
502C11×C22⋊C4—41no—
503C11×C22⋊C4—41no—
504C22⋊Dic11—22no—
505C22⋊Dic11—22no—
506C22⋊Dic11—22no—
507C22⋊Dic11—22no—
508C22⋊Dic11—22no—
509C22⋊Dic11—22no—
510C22⋊Dic11—41no—
511C22⋊Dic11—41no—
512C22⋊Dic11—41no—
513C22⋊Dic11—41no—
514C22⋊Dic11—41no—
515C22⋊Dic11—41no—
516C22⋊Dic11—41no—
517C22⋊Dic11—41no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521C22⋊Dic11—41no—
522C22⋊Dic11—41no—
523C22⋊Dic11—41no—
524C22⋊Dic11—41no—
525C22⋊Dic11—41no—
526C22⋊Dic11—41no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
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—
541C4⋊Dic11—22no—
542C4⋊Dic11—22no—
543C4⋊Dic11—41no—
544C4⋊Dic11—41no—
545C4⋊Dic11—41no—
546C4⋊Dic11—41no—
547C4⋊Dic11—41no—
548C4⋊Dic11—41no—
549C4⋊Dic11—41no—
550Dic11⋊C4—22no—
551Dic11⋊C4—22no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
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—
568C4×Dic11—22no—
569C4×Dic11—41no—
570C4×Dic11—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#2671D1111yescharacteristic, complemented
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#2318—111no—
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×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11H(5,𝔽2)12yes—
632C23×C11C2511yescharacteristic
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—28no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—44no—
645C22×D11—44no—
646C22×D11—44no—
647C22×D11—44no—
648C22×D11—44no—
649C22×D11—44no—
650C22×D11C2×#4112yes—
651C22×D11H(5,𝔽2)12yes—
652C22×D11H(5,𝔽2)12yes—
653C22×D112−1+412yes—
654D4×C11—82no—
655D4×C11—82no—
656D4×C11—82no—
657D4×C11—82no—
658D4×C11—82no—
659D4×C11—82no—
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—44no—
692C2×C4×C11—82no—
693C2×C4×C11—82no—
694C2×C4×C11C2×#4112yes—
695C2×C4×C11H(5,𝔽2)12yes—
696C22⋊D11—44no—
697C22⋊D11—44no—
698C22⋊D11—44no—
699C22⋊D11—82no—
700C22⋊D11—82no—
701C22⋊D11—82no—
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—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—44no—
744C2×Dic11—82no—
745C2×Dic11C2×#4112yes—
746C4×D11—44no—
747C4×D11—44no—
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×#123C2×D1111yescharacteristic
762C2×#121—111no—
763C2×#121—111no—
764C2×#121—111no—
765C2×#121—111no—
766C2×#121C2×D1111yescharacteristic
767C2×#121C2×D1111yescharacteristic
768C2×#121C2×D1111yescharacteristic, complemented
769C2×#120—111no—
770C2×#120—111no—
771C2×#120—111no—
772C2×C4×D4—111no—
773C2×C4×D4—111no—
774C2×C4×D4—111no—
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#399C2×D1111yescharacteristic, complemented
789#398—111no—
790#398—111no—
791#398—111no—
792#398—111no—
793#398—111no—
794#398—111no—
795#398—111no—
796#398C2×D1111yescharacteristic, complemented
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#394C2×D1111yescharacteristic
822#394C2×D1111yescharacteristic, complemented
823#394C2×D1111yescharacteristic, complemented
824#392—111no—
825#392—111no—
826#392C2×D1111yescharacteristic
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#388—111no—
846#388—111no—
847#387—111no—
848#387—111no—
849#387—111no—
850#387—111no—
851#387—111no—
852#387—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#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, complemented
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, complemented
889#383—111no—
890#382—111no—
891#382—111no—
892#381—111no—
893#381—111no—
894#381—111no—
895#381—111no—
896#381—111no—
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⋊C4—111no—
907C2×#95—111no—
908C2×#95—111no—
909C22×C11—22no—
910C22×C11—22no—
911C22×C11—22no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11C22×#4111yescharacteristic
938C22×C11C2×H(5,𝔽2)11yescharacteristic
939C22×C11C2×H(5,𝔽2)11yescharacteristic
940C22×C11C2×H(5,𝔽2)11yescharacteristic
941C22×C11C2×H(5,𝔽2)11yescharacteristic
942C22×C11C2×2−1+411yescharacteristic
943C22×C11#58511yescharacteristic
944C2×D11—22no—
945C2×D11—22no—
946C2×D11—22no—
947C2×D11—22no—
948C2×D11—22no—
949C2×D11—22no—
950C2×D11—22no—
951C2×D11—22no—
952C2×D11—22no—
953C2×D11—416no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11#54014yes—
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—
970Dic11—22no—
971Dic11—41no—
972Dic11—41no—
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×D4C22×D1111yescharacteristic
992C22×D4C22×D1111yescharacteristic
993C22×D4C22×D1111yescharacteristic
994C22×D4C22×D1111yescharacteristic
995C22×D4C22×D1111yescharacteristic
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—111no—
1007C23×C4—442no—
1008C23×C4—442no—
1009C23×C4—442no—
1010C23×C4C22×D1111yescharacteristic
1011C23×C4C22×D1111yescharacteristic
1012C23×C4C22×D1111yescharacteristic
1013#125—442no—
1014#123—42no—
1015#123—442no—
1016#123—442no—
1017#123—442no—
1018#123—442no—
1019#123—442no—
1020#121—42no—
1021#121—42no—
1022#121—42no—
1023#121—224no—
1024#121—442no—
1025#121—442no—
1026#121—442no—
1027#120—442no—
1028#120—442no—
1029#120—442no—
1030C4×D4—224no—
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—442no—
1061C2×C4⋊C4—442no—
1062C2×C4⋊C4C22×D1111yescharacteristic
1063C2×C4⋊C4C22×D1111yescharacteristic
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—224no—
1107C2×C22⋊C4—442no—
1108C2×C22⋊C4C22×D1111yescharacteristic
1109C2×C22⋊C4C22×D1111yescharacteristic
1110C2×C22⋊C4C22×D1111yescharacteristic
1111C2×C22⋊C4C22×D1111yescharacteristic
1112C2×C22⋊C4C22×D1111yescharacteristic
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×C42—111no—
1124C2×C42—111no—
1125C2×C42—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#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#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95C22×D1111yescharacteristic
1161#95C22×D1111yescharacteristic
1162#95C22×D1111yescharacteristic
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166C2×C11—42no—
1167C2×C11—81no—
1168C2×C11—81no—
1169C2×C11—81no—
1170C2×C11C2×#54011yescharacteristic
1171C2×C11#349211yescharacteristic
1172C2×C11#350511yescharacteristic
1173C2×C11#353211yescharacteristic
1174C2×C11#353411yescharacteristic
1175C2×C11#353511yescharacteristic
1176C2×C11#353611yescharacteristic
1177D11—24no—
1178D11—42no—
1179C24—111no—
1180C24—111no—
1181C24—222no—
1182C24—222no—
1183C24—222no—
1184C24—222no—
1185C24—222no—
1186C24—441no—
1187C24—441no—
1188C24C23×D1111yescharacteristic
1189C24C23×D1111yescharacteristic
1190C24C23×D1111yescharacteristic
1191C24C23×D1111yescharacteristic
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—222no—
1211C2×D4—222no—
1212C2×D4—222no—
1213C2×D4—222no—
1214C2×D4—222no—
1215C2×D4—222no—
1216C2×D4—222no—
1217C2×D4—222no—
1218C2×D4—222no—
1219C2×D4—222no—
1220C2×D4—222no—
1221C2×D4—222no—
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—111no—
1238C22×C4—114no—
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—111no—
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—222no—
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—441no—
1276C22×C4—4416no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
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—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—222no—
1301C4⋊C4—222no—
1302C4⋊C4—222no—
1303C4⋊C4—222no—
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—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—222no—
1341C22⋊C4—222no—
1342C22⋊C4—222no—
1343C22⋊C4—222no—
1344C22⋊C4—222no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
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—222no—
1378C42—441no—
1379C42—441no—
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—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—112no—
1411C23—112no—
1412C23—112no—
1413C23—112no—
1414C23—228no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—444no—
1426C23—444no—
1427C23—444no—
1428C23—444no—
1429C23—444no—
1430C23—444no—
1431C23#6703712yes—
1432C23C24×D1111yescharacteristic
1433D4—82no—
1434D4—82no—
1435D4—82no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—444no—
1440D4—444no—
1441D4—444no—
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—44no—
1477C2×C4—82no—
1478C2×C4—82no—
1479C2×C4—112no—
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—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—444no—
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×C4#6703712yes—
1532C2×C4#41×D1112yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—114no—
1562C22—222no—
1563C22—222no—
1564C22—222no—
1565C22—222no—
1566C22—222no—
1567C22—222no—
1568C22—222no—
1569C22—222no—
1570C22—222no—
1571C22—4416no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22C2×#6703711yescharacteristic
1577C22C2×#6703711yescharacteristic
1578C22C2×#41×D1111yescharacteristic
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—222no—
1595C4—441no—
1596C4—441no—
1597C4—441no—
1598C4—441no—
1599C4—441no—
1600C4—441no—
1601C4—441no—
1602C4—441no—
1603C4—441no—
1604C4—441no—
1605C4—441no—
1606C4—441no—
1607C4—441no—
1608C2—42no—
1609C2—81no—
1610C2—81no—
1611C2—81no—
1612C2—224no—
1613C2—442no—
1614C2D11×#54011yescharacteristic
1615C2#1308231811yescharacteristic
1616C2#1308244311yescharacteristic
1617C2#1308276611yescharacteristic
1618C2#1308279611yescharacteristic
1619C2#1308281611yescharacteristic
1620C2#1308283411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2671C2
hypercenter#2671D11
hypocenterC11#36777
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2671

Complements

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

NH ≅ G/Ntype
1. #13076905C2semidirect
2. #13076895C2semidirect
3. #13076269C2semidirect
4. #13076262C2semidirect
5. #13076102C2semidirect
6. #13076005C2semidirect
7. #13075892C2semidirect
8. #13075843C2semidirect
9. #13075826C2semidirect
10. #13075759C2semidirect
11. #13075690C2semidirect
12. #13075380C2semidirect
13. #13075315C2semidirect
14. #13075311C2semidirect
15. #13075225C2semidirect
16. #13075225C2semidirect
17. #13075048C2semidirect
18. #13074401C2semidirect
19. #13074357C2semidirect
20. #13073541C2semidirect
21. #13073504C2semidirect
22. #13072335C2semidirect
23. #13072168C2semidirect
24. #13072149C2semidirect
25. #13072092C2semidirect
26. #13072071C2semidirect
27. #13072052C2semidirect
28. #13071318C2semidirect
29. #13071251C2semidirect
30. D11×#385C2semidirect
31. C11×#2671C2semidirect
36. C2×C11×#121C22semidirect
50. C2×#66942C22semidirect
57. C11×#399C22semidirect
58. C11×#398C22semidirect
60. C11×#394C22semidirect
61. C11×#394C22semidirect
64. C11×#386C22semidirect
66. C11×#385C22semidirect
67. C11×#380C22semidirect
73. #10622835C22semidirect
74. #10622835C22semidirect
75. #10622835C22semidirect
78. #10622834C22semidirect
81. #10622833C22semidirect
82. #10622833C22semidirect
86. #10622825C22semidirect
88. #10622824C22semidirect
89. #10622824C22semidirect
91. #10622823C22semidirect
104. #10622599C22semidirect
105. #10622598C22semidirect
106. #10622598C22semidirect
107. #10622597C22semidirect
108. #10622597C22semidirect
109. #10622597C22semidirect
110. #10622596C22semidirect
111. #10622595C22semidirect
112. #10622594C22semidirect
113. #10622591C22semidirect
114. #10622591C22semidirect
115. #10622585C22semidirect
116. #10622585C22semidirect
134. #10622566C22semidirect
135. #10622566C22semidirect
137. #10622565C22semidirect
138. #10622565C22semidirect
139. #10622565C22semidirect
143. #10622562C22semidirect
145. #10622561C22semidirect
146. #10622561C22semidirect
147. #10622561C22semidirect
148. #10622561C22semidirect
149. #10622561C22semidirect
150. #10622561C22semidirect
151. #10622561C22semidirect
153. #10622559C22semidirect
155. #10622558C22semidirect
156. #10622558C22semidirect
157. #10622558C22semidirect
159. #10622557C22semidirect
160. #10622557C22semidirect
162. #10622555C22semidirect
175. #10622274C22semidirect
176. #10622273C22semidirect
177. #10622272C22semidirect
178. #10622271C22semidirect
179. #10622270C22semidirect
180. #10622270C22semidirect
181. #10622267C22semidirect
182. #10622267C22semidirect
183. #10622266C22semidirect
184. #10622264C22semidirect
185. #10622263C22semidirect
186. #10622263C22semidirect
590. #2671D11semidirect
768. C2×#121C2×D11semidirect
788. #399C2×D11semidirect
796. #398C2×D11semidirect
822. #394C2×D11semidirect
823. #394C2×D11semidirect
871. #386C2×D11semidirect
888. #385C2×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
#130769052
#130768952
#130762692
#130762622
#130761022
#130760052
#130758922
#130758432
#130758262
#130757592
#130756902
#130753802
#130753152
#130753112
#130752252
#130750482
#130744012
#130743572
#130735412
#130735042
#130723352
#130721682
#130721492
#130720922
#130720712
#130720522
#130713182
#130712512
D11×#3852
C11×#26712
#3677711