Finite Group Databasebeta

← #14926578

Subgroups — #14926578

Order 2816.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076943C211yesmaximal, characteristic, complemented
2#13076936C211yesmaximal, characteristic, complemented
3#13076934C211yesmaximal, characteristic, complemented
4#13076912C211yesmaximal, characteristic, complemented
5#13074682C211yesmaximal, characteristic, complemented
6#13074612C211yesmaximal, characteristic, complemented
7#13074605C211yesmaximal, characteristic, complemented
8#13074597C211yesmaximal, characteristic, complemented
9#13073276C211yesmaximal, characteristic, complemented
10#13073274C211yesmaximal, characteristic, complemented
11#13073175C211yesmaximal, characteristic, complemented
12#13073175C211yesmaximal, characteristic, complemented
13#13073114C211yesmaximal, characteristic, complemented
14#13072949C211yesmaximal, characteristic, complemented
15#13072868C211yesmaximal, characteristic, complemented
16#13072738C211yesmaximal, characteristic, complemented
17#13072661C211yesmaximal, characteristic, complemented
18#13072365C211yesmaximal, characteristic, complemented
19#13072276C211yesmaximal, characteristic, complemented
20#13072166C211yesmaximal, characteristic, complemented
21#13072007C211yesmaximal, characteristic, complemented
22#13071983C211yesmaximal, characteristic
23#13071938C211yesmaximal, characteristic, complemented
24#13071348C211yesmaximal, characteristic, complemented
25#13071272C211yesmaximal, characteristic, complemented
26#13071245C211yesmaximal, characteristic, complemented
27#13071210C211yesmaximal, characteristic, complemented
28C4×#66990C211yesmaximal, characteristic, complemented
29D11×#386C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2459C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#124C2211yescharacteristic, complemented
35C2×C4×D4×C11C2211yescharacteristic, complemented
36C2×#66999C2211yescharacteristic
37C2×#66999C2211yescharacteristic, complemented
38C2×#66991C2211yescharacteristic
39C2×#66990C2211yescharacteristic
40C2×#66990C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic, complemented
43C2×#66951C2211yescharacteristic, complemented
44C2×#66947C2211yescharacteristic
45C2×#66937C2211yescharacteristic
46C2×#66936C2211yescharacteristic
47C2×#66936C2211yescharacteristic, complemented
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×C22⋊C4×D11C2211yescharacteristic
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×C42×D11C2211yescharacteristic, complemented
54C2×C42×D11C2211yescharacteristic, complemented
55C11×#394C2211yescharacteristic
56C11×#394C2211yescharacteristic, complemented
57C11×#393C2211yescharacteristic, complemented
58C11×#392C2211yescharacteristic
59C11×#391C2211yescharacteristic, complemented
60C11×#388C2211yescharacteristic, complemented
61C11×#388C2211yescharacteristic, complemented
62C11×#388C2211yescharacteristic, complemented
63C11×#387C2211yescharacteristic, complemented
64C11×#386C2211yescharacteristic
65C11×#386C2211yescharacteristic, complemented
66C11×#381C2211yescharacteristic, complemented
67C4×C11×C22⋊C4C2211yescharacteristic, complemented
68#10622844C2211yescharacteristic, complemented
69#10622843C2211yescharacteristic, complemented
70#10622836C2211yescharacteristic
71#10622835C2211yescharacteristic
72#10622835C2211yescharacteristic
73#10622835C2211yescharacteristic, complemented
74#10622835C2211yescharacteristic, complemented
75#10622834C2211yescharacteristic, complemented
76#10622833C2211yescharacteristic
77#10622833C2211yescharacteristic, complemented
78#10622826C2211yescharacteristic
79#10622826C2211yescharacteristic, complemented
80#10622825C2211yescharacteristic, complemented
81C4×C22⋊Dic11C2211yescharacteristic, complemented
82C4×C22⋊Dic11C2211yescharacteristic, complemented
83#10622603C2211yescharacteristic, complemented
84#10622602C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622602C2211yescharacteristic, complemented
87#10622602C2211yescharacteristic, complemented
88#10622600C2211yescharacteristic
89#10622595C2211yescharacteristic, complemented
90#10622595C2211yescharacteristic, complemented
91#10622594C2211yescharacteristic, complemented
92#10622585C2211yescharacteristic, complemented
93#10622574C2211yescharacteristic
94#10622574C2211yescharacteristic
95#10622574C2211yescharacteristic, complemented
96#10622572C2211yescharacteristic
97#10622571C2211yescharacteristic
98#10622570C2211yescharacteristic, complemented
99#10622570C2211yescharacteristic, complemented
100#10622569C2211yescharacteristic
101#10622569C2211yescharacteristic
102#10622569C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622569C2211yescharacteristic, complemented
109#10622569C2211yescharacteristic, complemented
110#10622568C2211yescharacteristic
111#10622568C2211yescharacteristic
112#10622568C2211yescharacteristic
113#10622568C2211yescharacteristic
114#10622566C2211yescharacteristic, complemented
115#10622565C2211yescharacteristic, complemented
116#10622565C2211yescharacteristic, complemented
117#10622565C2211yescharacteristic, complemented
118#10622565C2211yescharacteristic, complemented
119#10622565C2211yescharacteristic, complemented
120#10622564C2211yescharacteristic, complemented
121#10622564C2211yescharacteristic, complemented
122#10622562C2211yescharacteristic, complemented
123#10622561C2211yescharacteristic, complemented
124#10622561C2211yescharacteristic, complemented
125#10622561C2211yescharacteristic, complemented
126#10622559C2211yescharacteristic, complemented
127#10622558C2211yescharacteristic, complemented
128#10622557C2211yescharacteristic, complemented
129#10622557C2211yescharacteristic, complemented
130#10622557C2211yescharacteristic, complemented
131#10622557C2211yescharacteristic, complemented
132#10622557C2211yescharacteristic, complemented
133#10622557C2211yescharacteristic, complemented
134#10622557C2211yescharacteristic, complemented
135C22⋊C4×Dic11C2211yescharacteristic, complemented
136C22⋊C4×Dic11C2211yescharacteristic, complemented
137#10622553C2211yescharacteristic, complemented
138#10622553C2211yescharacteristic, complemented
139#10622553C2211yescharacteristic, complemented
140C4×(C2×D11)⋊C4C2211yescharacteristic
141C4×(C2×D11)⋊C4C2211yescharacteristic
142C4×(C2×D11)⋊C4C2211yescharacteristic
143C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
144#10622549C2211yescharacteristic, complemented
145#10622546C2211yescharacteristic, complemented
146#10622546C2211yescharacteristic, complemented
147#10622288C2211yescharacteristic, complemented
148#10622288C2211yescharacteristic, complemented
149#10622283C2211yescharacteristic, complemented
150#10622283C2211yescharacteristic, complemented
151#10622282C2211yescharacteristic, complemented
152#10622282C2211yescharacteristic, complemented
153#10622281C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622281C2211yescharacteristic, complemented
158#10622281C2211yescharacteristic, complemented
159#10622280C2211yescharacteristic
160#10622280C2211yescharacteristic
161#10622280C2211yescharacteristic, complemented
162#10622279C2211yescharacteristic
163#10622279C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622277C2211yescharacteristic, complemented
169D11×#95C2211yescharacteristic
170D11×#95C2211yescharacteristic
171D11×#95C2211yescharacteristic, complemented
172D11×#95C2211yescharacteristic, complemented
173C11⋊#401C2211yescharacteristic, complemented
174#10622274C2211yescharacteristic, complemented
175#10622273C2211yescharacteristic, complemented
176#10622271C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622268C2211yescharacteristic, complemented
179#10622267C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C2×D4×D11—24no—
202C2×D4×D11—42no—
203C2×D4×D11—42no—
204C22×D44C2311yescharacteristic
205C22×C4×D11—24no—
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
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C11×#124—42no—
220C4×D4×C11—42no—
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
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
256#66999—24no—
257#66999—42no—
258#66991—42no—
259#66990—24no—
260#66990—24no—
261C4×C22⋊D11—24no—
262C4×C22⋊D11—42no—
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×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313#66951—42no—
314#66947—42no—
315#66937—42no—
316#66936—42no—
317#66936—42no—
318C22⋊C4×D11—24no—
319C22⋊C4×D11—24no—
320C22⋊C4×D11—24no—
321C22⋊C4×D11—42no—
322C22⋊C4×D11—42no—
323C42×D11—42no—
324C42×D11—42no—
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
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369#34998—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—22no—
377C23×D11—22no—
378C23×D11—22no—
379C23×D11—22no—
380C23×D11—41no—
381C23×D11—41no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11#4114yes—
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C2×Q8×C11—22no—
391C2×Q8×C11—41no—
392C2×Q8×C11—41no—
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—22no—
396C2×D4×C11—41no—
397C2×D4×C11—41no—
398C2×D4×C11—41no—
399C2×D4×C11—41no—
400C2×D4×C11—41no—
401C2×D4×C11—41no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
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
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C2×C22⋊D11—22no—
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—41no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11—41no—
434C2×C22⋊D11—41no—
435C22×Dic11—22no—
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
450C22×Dic11C2411yescharacteristic
451D4×D11—416no—
452C2×D44—22no—
453C2×D44—22no—
454C2×D44—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
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—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
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—41no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—41no—
487C2×C4×D11—416no—
488C2×C4×D11#4114yes—
489C11×C4⋊C4—22no—
490C11×C4⋊C4—41no—
491C11×C4⋊C4—41no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
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—
504C11×C22⋊C4—41no—
505C42×C11—22no—
506C42×C11—41no—
507C42×C11—41no—
508C22⋊Dic11—22no—
509C22⋊Dic11—22no—
510C22⋊Dic11—22no—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
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—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
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—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4#4114yes—
547C4⋊Dic11—22no—
548C4⋊Dic11—41no—
549C4⋊Dic11—41no—
550C4⋊Dic11—41no—
551C4⋊Dic11—41no—
552C4⋊Dic11—41no—
553Dic11⋊C4—22no—
554Dic11⋊C4—22no—
555Dic11⋊C4—22no—
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—
566C4×Dic11—22no—
567C4×Dic11—22no—
568C4×Dic11—41no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574#2854—111no—
575#2853—111no—
576#2852—111no—
577#2850—111no—
578#2653—111no—
579#2649—111no—
580#2648—111no—
581#2648—111no—
582#2518—111no—
583#2518—111no—
584#2510—111no—
585#2510—111no—
586#2505—111no—
587#2488—111no—
588#2480—111no—
589#2472—111no—
590#2467—111no—
591#2459D1111yescharacteristic, complemented
592#2444—111no—
593#2437—111no—
594#2425—111no—
595#2412—111no—
596#2410—111no—
597#2405—111no—
598#2329—111no—
599#2321—111no—
600#2318—111no—
601#2312—111no—
602C4×#120—111no—
603C2×#386—111no—
604C2×C4×C22⋊C4—111no—
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×C11C2×#4112yes—
626C23×C11C2511yescharacteristic
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—28no—
636C22×D11—28no—
637C22×D11—21no—
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×D11—44no—
651C22×D11—44no—
652C22×D11—82no—
653C22×D11—82no—
654C22×D11—82no—
655C22×D11—82no—
656C22×D11C2×#4112yes—
657C22×D11C2×#4112yes—
658C22×D11C2×#4112yes—
659C22×D11C2×#4112yes—
660C22×D11H(5,𝔽2)12yes—
661C22×D11H(5,𝔽2)12yes—
662Q8×C11—82no—
663D4×C11—44no—
664D4×C11—44no—
665D4×C11—82no—
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—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—44no—
700C2×C4×C11—82no—
701C2×C4×C11C2×#4112yes—
702C2×C4×C11C2×#4112yes—
703C2×C4×C11H(5,𝔽2)12yes—
704C22⋊D11—44no—
705C22⋊D11—44no—
706C22⋊D11—44no—
707C22⋊D11—44no—
708C22⋊D11—82no—
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—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—44no—
747C2×Dic11C2×#4112yes—
748C2×Dic11C2×#4112yes—
749D44—44no—
750C4×D11—28no—
751C4×D11—44no—
752C4×D11—44no—
753C4×D11—44no—
754C4×D11—44no—
755C4×D11—44no—
756C4×D11—44no—
757C4×D11—44no—
758C4×D11—44no—
759C4×D11—82no—
760C4×D11—82no—
761C23×D4—111no—
762C24×C4—111no—
763C2×#126—111no—
764C2×#124C2×D1111yescharacteristic, complemented
765C2×#123—111no—
766C2×#123—111no—
767C2×#123—111no—
768C2×C22⋊Q8—111no—
769C2×C22⋊Q8—111no—
770C2×#121—111no—
771C2×#121—111no—
772C2×#120—111no—
773C2×#120—111no—
774C2×C4×D4—111no—
775C2×C4×D4—111no—
776C2×C4×D4C2×D1111yescharacteristic, complemented
777C22×C22⋊C4—111no—
778C22×C22⋊C4—111no—
779C22×C22⋊C4—111no—
780C22×C22⋊C4—111no—
781C22×C22⋊C4—111no—
782C22×C42—111no—
783C22×C42—111no—
784#401—111no—
785#400—111no—
786#400—111no—
787#400—111no—
788#400—111no—
789#399—111no—
790#398—111no—
791#397—111no—
792#397—111no—
793#397—111no—
794#397—111no—
795#397—111no—
796#397—111no—
797#397—111no—
798#397—111no—
799#396—111no—
800#396—111no—
801#396—111no—
802#394—111no—
803#394—111no—
804#394—111no—
805#394—111no—
806#394—111no—
807#394—111no—
808#394—111no—
809#394—111no—
810#394C2×D1111yescharacteristic
811#394C2×D1111yescharacteristic, complemented
812#393—111no—
813#393C2×D1111yescharacteristic, complemented
814#392—111no—
815#392C2×D1111yescharacteristic
816#391—111no—
817#391C2×D1111yescharacteristic, complemented
818#390—111no—
819#390—111no—
820#390—111no—
821#389—111no—
822#389—111no—
823#389—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#388—111no—
837#388—111no—
838#388—111no—
839#388—111no—
840#388—111no—
841#388—111no—
842#388C2×D1111yescharacteristic, complemented
843#388C2×D1111yescharacteristic, complemented
844#388C2×D1111yescharacteristic, complemented
845#387—111no—
846#387—111no—
847#387—111no—
848#387—111no—
849#387—111no—
850#387—111no—
851#387—111no—
852#387—111no—
853#387C2×D1111yescharacteristic, complemented
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#386—111no—
871#386—111no—
872#386—111no—
873#386C2×D1111yescharacteristic
874#386C2×D1111yescharacteristic, complemented
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#383—111no—
887#383—111no—
888#382—111no—
889#382—111no—
890#381—111no—
891#381C2×D1111yescharacteristic, complemented
892#380—111no—
893#380—111no—
894#380—111no—
895#380—111no—
896#380—111no—
897#379—111no—
898#379—111no—
899#379—111no—
900#379—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4—111no—
903C4×C22⋊C4—111no—
904C4×C22⋊C4—111no—
905C4×C22⋊C4—111no—
906C4×C22⋊C4—111no—
907C4×C22⋊C4—111no—
908C4×C22⋊C4—111no—
909C4×C22⋊C4—111no—
910C4×C22⋊C4—111no—
911C4×C22⋊C4C2×D1111yescharacteristic, complemented
912C2×#95—111no—
913C2×#95—111no—
914C2×#95—111no—
915C2×#95—111no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
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×C11C22×#4111yescharacteristic
939C22×C11C22×#4111yescharacteristic
940C22×C11C2×H(5,𝔽2)11yescharacteristic
941C22×C11C2×H(5,𝔽2)11yescharacteristic
942C22×C11C2×H(5,𝔽2)11yescharacteristic
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—22no—
954C2×D11—22no—
955C2×D11—22no—
956C2×D11—416no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—88no—
965C2×D11#52914yes—
966C2×D11#53814yes—
967C4×C11—22no—
968C4×C11—22no—
969C4×C11—22no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977C4×C11—41no—
978C4×C11—41no—
979Dic11—22no—
980Dic11—22no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990Dic11—41no—
991Dic11—41no—
992C25—111no—
993C25—111no—
994C22×Q8C22×D1111yescharacteristic
995C22×D4—111no—
996C22×D4—111no—
997C22×D4—111no—
998C22×D4—111no—
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4—224no—
1002C22×D4—442no—
1003C22×D4—442no—
1004C22×D4C22×D1111yescharacteristic
1005C22×D4C22×D1111yescharacteristic
1006C22×D4C22×D1111yescharacteristic
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4—111no—
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4—111no—
1016C23×C4—111no—
1017C23×C4—111no—
1018C23×C4—111no—
1019C23×C4—224no—
1020C23×C4—442no—
1021C23×C4—442no—
1022C23×C4C22×D1111yescharacteristic
1023C23×C4C22×D1111yescharacteristic
1024#126—442no—
1025#124—42no—
1026#123—442no—
1027#123—442no—
1028#123—442no—
1029C22⋊Q8—224no—
1030C22⋊Q8—442no—
1031#121—442no—
1032#121—442no—
1033#120—224no—
1034#120—224no—
1035C4×D4—42no—
1036C4×D4—224no—
1037C4×D4—442no—
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⋊C4C22×D1111yescharacteristic
1058C2×C4⋊C4C22×D1111yescharacteristic
1059C2×C4⋊C4C22×D1111yescharacteristic
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—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—224no—
1100C2×C22⋊C4—224no—
1101C2×C22⋊C4—224no—
1102C2×C22⋊C4—442no—
1103C2×C22⋊C4—442no—
1104C2×C22⋊C4C22×D1111yescharacteristic
1105C2×C22⋊C4C22×D1111yescharacteristic
1106C2×C22⋊C4C22×D1111yescharacteristic
1107C2×C22⋊C4C22×D1111yescharacteristic
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×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42—111no—
1124C2×C42—111no—
1125C2×C42—442no—
1126C2×C42—442no—
1127C2×C42C22×D1111yescharacteristic
1128C2×C42C22×D1111yescharacteristic
1129C2×C42C22×D1111yescharacteristic
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#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166#95C22×D1111yescharacteristic
1167#95C22×D1111yescharacteristic
1168#95C22×D1111yescharacteristic
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172#95C22×D1111yescharacteristic
1173#95C22×D1111yescharacteristic
1174C2×C11—42no—
1175C2×C11—81no—
1176C2×C11—81no—
1177C2×C11C2×#52911yescharacteristic
1178C2×C11C2×#53811yescharacteristic
1179C2×C11#345911yescharacteristic
1180C2×C11#349011yescharacteristic
1181C2×C11#349411yescharacteristic
1182C2×C11#351311yescharacteristic
1183C2×C11#351911yescharacteristic
1184D11—24no—
1185D11—24no—
1186D11—81no—
1187C24—111no—
1188C24—111no—
1189C24—114no—
1190C24—111no—
1191C24—222no—
1192C24—222no—
1193C24—222no—
1194C24—222no—
1195C24—222no—
1196C24—222no—
1197C24—222no—
1198C24—441no—
1199C24—441no—
1200C24—441no—
1201C24—441no—
1202C24—441no—
1203C24—441no—
1204C24C23×D1111yescharacteristic
1205C24C23×D1111yescharacteristic
1206C24C23×D1111yescharacteristic
1207C2×Q8—22no—
1208C2×Q8—41no—
1209C2×Q8—41no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—222no—
1220C2×D4—222no—
1221C2×D4—222no—
1222C2×D4—222no—
1223C2×D4—222no—
1224C2×D4—222no—
1225C2×D4—222no—
1226C2×D4—222no—
1227C2×D4—222no—
1228C2×D4—222no—
1229C2×D4—222no—
1230C2×D4—222no—
1231C2×D4—222no—
1232C2×D4—222no—
1233C2×D4—441no—
1234C2×D4—441no—
1235C2×D4—441no—
1236C2×D4—441no—
1237C2×D4—4416no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—114no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—111no—
1250C22×C4—111no—
1251C22×C4—111no—
1252C22×C4—111no—
1253C22×C4—111no—
1254C22×C4—111no—
1255C22×C4—111no—
1256C22×C4—111no—
1257C22×C4—111no—
1258C22×C4—222no—
1259C22×C4—222no—
1260C22×C4—222no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—222no—
1269C22×C4—222no—
1270C22×C4—222no—
1271C22×C4—222no—
1272C22×C4—222no—
1273C22×C4—222no—
1274C22×C4—222no—
1275C22×C4—222no—
1276C22×C4—222no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4—441no—
1291C22×C4—4416no—
1292C22×C4—441no—
1293C22×C4—441no—
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C22×C4C23×D1111yescharacteristic
1304C22×C4C23×D1111yescharacteristic
1305C22×C4C23×D1111yescharacteristic
1306C4⋊C4—22no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—222no—
1310C4⋊C4—222no—
1311C4⋊C4—222no—
1312C4⋊C4—222no—
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—
1327C4⋊C4—441no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—114no—
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—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
1359C22⋊C4—222no—
1360C22⋊C4—222no—
1361C22⋊C4—222no—
1362C22⋊C4—222no—
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—
1377C22⋊C4—441no—
1378C22⋊C4—441no—
1379C22⋊C4—441no—
1380C42—22no—
1381C42—41no—
1382C42—41no—
1383C42—222no—
1384C42—222no—
1385C42—441no—
1386C42—441no—
1387C42—441no—
1388C42—441no—
1389C42—441no—
1390C42—441no—
1391C11#3499811yescharacteristic, complemented, Sylow
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—21no—
1411C23—21no—
1412C23—112no—
1413C23—112no—
1414C23—112no—
1415C23—112no—
1416C23—112no—
1417C23—112no—
1418C23—228no—
1419C23—228no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—221no—
1431C23—221no—
1432C23—221no—
1433C23—221no—
1434C23—221no—
1435C23—444no—
1436C23—444no—
1437C23—444no—
1438C23—444no—
1439C23—444no—
1440C23—444no—
1441C23—444no—
1442C23—444no—
1443C23—882no—
1444C23—882no—
1445C23—882no—
1446C23—882no—
1447C23#41×D1112yes—
1448C23C24×D1111yescharacteristic
1449Q8—82no—
1450D4—44no—
1451D4—44no—
1452D4—82no—
1453D4—444no—
1454D4—444no—
1455D4—444no—
1456D4—444no—
1457D4—444no—
1458D4—882no—
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—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—44no—
1493C2×C4—82no—
1494C2×C4—112no—
1495C2×C4—112no—
1496C2×C4—228no—
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—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—444no—
1535C2×C4—444no—
1536C2×C4—444no—
1537C2×C4—444no—
1538C2×C4—444no—
1539C2×C4—444no—
1540C2×C4—444no—
1541C2×C4—444no—
1542C2×C4—444no—
1543C2×C4—882no—
1544C2×C4—882no—
1545C2×C4#6703712yes—
1546C2×C4#41×D1112yes—
1547C2×C4#41×D1112yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—114no—
1570C22—114no—
1571C22—222no—
1572C22—222no—
1573C22—222no—
1574C22—222no—
1575C22—222no—
1576C22—222no—
1577C22—222no—
1578C22—222no—
1579C22—222no—
1580C22—222no—
1581C22—222no—
1582C22—222no—
1583C22—4416no—
1584C22—441no—
1585C22—441no—
1586C22—441no—
1587C22—441no—
1588C22—441no—
1589C22—441no—
1590C22—441no—
1591C22—888no—
1592C22C2×#6703711yescharacteristic
1593C22C2×#41×D1111yescharacteristic
1594C22C2×#41×D1111yescharacteristic
1595C22C2×#41×D1111yescharacteristic
1596C22#1062345311yescharacteristic
1597C22D11×H(5,𝔽2)11yescharacteristic
1598C22D11×H(5,𝔽2)11yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—222no—
1612C4—222no—
1613C4—441no—
1614C4—441no—
1615C4—441no—
1616C4—441no—
1617C4—441no—
1618C4—441no—
1619C4—441no—
1620C4—441no—
1621C4—441no—
1622C4—441no—
1623C4—441no—
1624C2—42no—
1625C2—81no—
1626C2—81no—
1627C2—224no—
1628C2—224no—
1629C2—881no—
1630C2D11×#52911yescharacteristic
1631C2D11×#53811yescharacteristic
1632C2#1308202311yescharacteristic
1633C2#1308229811yescharacteristic
1634C2#1308235011yescharacteristic
1635C2#1308255511yescharacteristic
1636C2#1308264511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2459C2
prime radical#13071983C2
hypercenter#2459D11
hypocenterC11#34998
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2459

Complements

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

NH ≅ G/Ntype
1. #13076943C2semidirect
2. #13076936C2semidirect
3. #13076934C2semidirect
4. #13076912C2semidirect
5. #13074682C2semidirect
6. #13074612C2semidirect
7. #13074605C2semidirect
8. #13074597C2semidirect
9. #13073276C2semidirect
10. #13073274C2semidirect
11. #13073175C2semidirect
12. #13073175C2semidirect
13. #13073114C2semidirect
14. #13072949C2semidirect
15. #13072868C2semidirect
16. #13072738C2semidirect
17. #13072661C2semidirect
18. #13072365C2semidirect
19. #13072276C2semidirect
20. #13072166C2semidirect
21. #13072007C2semidirect
23. #13071938C2semidirect
24. #13071348C2semidirect
25. #13071272C2semidirect
26. #13071245C2semidirect
27. #13071210C2semidirect
28. C4×#66990C2semidirect
29. D11×#386C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2459C2semidirect
34. C2×C11×#124C22semidirect
35. C2×C4×D4×C11C22semidirect
37. C2×#66999C22semidirect
42. C2×C4×C22⋊D11C22semidirect
43. C2×#66951C22semidirect
47. C2×#66936C22semidirect
53. C2×C42×D11C22semidirect
54. C2×C42×D11C22semidirect
56. C11×#394C22semidirect
57. C11×#393C22semidirect
59. C11×#391C22semidirect
60. C11×#388C22semidirect
61. C11×#388C22semidirect
62. C11×#388C22semidirect
63. C11×#387C22semidirect
65. C11×#386C22semidirect
66. C11×#381C22semidirect
67. C4×C11×C22⋊C4C22semidirect
68. #10622844C22semidirect
69. #10622843C22semidirect
73. #10622835C22semidirect
74. #10622835C22semidirect
75. #10622834C22semidirect
77. #10622833C22semidirect
79. #10622826C22semidirect
80. #10622825C22semidirect
81. C4×C22⋊Dic11C22semidirect
82. C4×C22⋊Dic11C22semidirect
83. #10622603C22semidirect
86. #10622602C22semidirect
87. #10622602C22semidirect
89. #10622595C22semidirect
90. #10622595C22semidirect
91. #10622594C22semidirect
92. #10622585C22semidirect
95. #10622574C22semidirect
98. #10622570C22semidirect
99. #10622570C22semidirect
108. #10622569C22semidirect
109. #10622569C22semidirect
114. #10622566C22semidirect
115. #10622565C22semidirect
116. #10622565C22semidirect
117. #10622565C22semidirect
118. #10622565C22semidirect
119. #10622565C22semidirect
120. #10622564C22semidirect
121. #10622564C22semidirect
122. #10622562C22semidirect
123. #10622561C22semidirect
124. #10622561C22semidirect
125. #10622561C22semidirect
126. #10622559C22semidirect
127. #10622558C22semidirect
128. #10622557C22semidirect
129. #10622557C22semidirect
130. #10622557C22semidirect
131. #10622557C22semidirect
132. #10622557C22semidirect
133. #10622557C22semidirect
134. #10622557C22semidirect
135. C22⋊C4×Dic11C22semidirect
136. C22⋊C4×Dic11C22semidirect
137. #10622553C22semidirect
138. #10622553C22semidirect
139. #10622553C22semidirect
143. C4×(C2×D11)⋊C4C22semidirect
144. #10622549C22semidirect
145. #10622546C22semidirect
146. #10622546C22semidirect
147. #10622288C22semidirect
148. #10622288C22semidirect
149. #10622283C22semidirect
150. #10622283C22semidirect
151. #10622282C22semidirect
152. #10622282C22semidirect
157. #10622281C22semidirect
158. #10622281C22semidirect
161. #10622280C22semidirect
168. #10622277C22semidirect
171. D11×#95C22semidirect
172. D11×#95C22semidirect
173. C11⋊#401C22semidirect
174. #10622274C22semidirect
175. #10622273C22semidirect
176. #10622271C22semidirect
177. #10622268C22semidirect
178. #10622268C22semidirect
179. #10622267C22semidirect
180. #10622266C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622264C22semidirect
184. #10622263C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
591. #2459D11semidirect
764. C2×#124C2×D11semidirect
776. C2×C4×D4C2×D11semidirect
811. #394C2×D11semidirect
813. #393C2×D11semidirect
817. #391C2×D11semidirect
842. #388C2×D11semidirect
843. #388C2×D11semidirect
844. #388C2×D11semidirect
853. #387C2×D11semidirect
874. #386C2×D11semidirect
891. #381C2×D11semidirect
911. C4×C22⋊C4C2×D11semidirect
1391. C11#34998semidirect

Maximal subgroups

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

subgroupindex
#130769432
#130769362
#130769342
#130769122
#130746822
#130746122
#130746052
#130745972
#130732762
#130732742
#130731752
#130731142
#130729492
#130728682
#130727382
#130726612
#130723652
#130722762
#130721662
#130720072
#130719832
#130719382
#130713482
#130712722
#130712452
#130712102
C4×#669902
D11×#3862
C4×C22⋊C4×D112
C11×#24592
#3499811