Finite Group Databasebeta

← #14961642

Subgroups — #14961642

Order 2816.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076901C211yesmaximal, characteristic, complemented
2#13076896C211yesmaximal, characteristic, complemented
3#13076479C211yesmaximal, characteristic, complemented
4#13076272C211yesmaximal, characteristic, complemented
5#13076242C211yesmaximal, characteristic, complemented
6#13076236C211yesmaximal, characteristic, complemented
7#13076227C211yesmaximal, characteristic, complemented
8#13075931C211yesmaximal, characteristic, complemented
9#13075895C211yesmaximal, characteristic, complemented
10#13075841C211yesmaximal, characteristic, complemented
11#13075736C211yesmaximal, characteristic, complemented
12#13075615C211yesmaximal, characteristic, complemented
13#13075414C211yesmaximal, characteristic, complemented
14#13075252C211yesmaximal, characteristic, complemented
15#13075237C211yesmaximal, characteristic, complemented
16#13075172C211yesmaximal, characteristic, complemented
17#13075058C211yesmaximal, characteristic, complemented
18#13074910C211yesmaximal, characteristic, complemented
19#13074328C211yesmaximal, characteristic, complemented
20#13072997C211yesmaximal, characteristic, complemented
21#13072938C211yesmaximal, characteristic, complemented
22#13072859C211yesmaximal, characteristic, complemented
23#13072741C211yesmaximal, characteristic, complemented
24#13072163C211yesmaximal, characteristic, complemented
25#13072156C211yesmaximal, characteristic, complemented
26#13072089C211yesmaximal, characteristic, complemented
27#13072082C211yesmaximal, characteristic, complemented
28#13071277C211yesmaximal, characteristic, complemented
29#13071271C211yesmaximal, characteristic, complemented
30C2×#10622833C211yesmaximal, characteristic, complemented
31C11×#2613C211yesmaximal, characteristic, complemented
32C23×D4×C11C2211yescharacteristic
33C24×Dic11C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×C11×#120C2211yescharacteristic
36C2×C11×#120C2211yescharacteristic
37C2×#67006C2211yescharacteristic
38C2×#67006C2211yescharacteristic
39C22×C22⋊Dic11C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C22×C22⋊Dic11C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic, complemented
44C2×#66992C2211yescharacteristic, complemented
45C2×#66992C2211yescharacteristic, complemented
46C2×#66989C2211yescharacteristic, complemented
47C2×D4×Dic11C2211yescharacteristic
48C2×#66982C2211yescharacteristic
49C2×#66936C2211yescharacteristic, complemented
50C2×(C22⋊D11)⋊C4C2211yescharacteristic
51C2×#66932C2211yescharacteristic, complemented
52C2×#66931C2211yescharacteristic
53C2×#66931C2211yescharacteristic, complemented
54C2×#66931C2211yescharacteristic, complemented
55C11×#394C2211yescharacteristic
56C11×#394C2211yescharacteristic
57C11×#394C2211yescharacteristic
58C11×#394C2211yescharacteristic
59C11×#392C2211yescharacteristic
60C11×#392C2211yescharacteristic
61C11×#392C2211yescharacteristic
62C11×#392C2211yescharacteristic
63C11×#381C2211yescharacteristic
64C11×#379C2211yescharacteristic
65C11×#379C2211yescharacteristic
66#10622860C2211yescharacteristic
67#10622860C2211yescharacteristic
68#10622836C2211yescharacteristic
69#10622836C2211yescharacteristic
70#10622836C2211yescharacteristic
71#10622836C2211yescharacteristic
72#10622836C2211yescharacteristic, complemented
73#10622835C2211yescharacteristic
74#10622835C2211yescharacteristic
75#10622835C2211yescharacteristic
76#10622835C2211yescharacteristic
77#10622835C2211yescharacteristic, complemented
78#10622835C2211yescharacteristic, complemented
79#10622835C2211yescharacteristic, complemented
80#10622834C2211yescharacteristic, complemented
81#10622834C2211yescharacteristic, complemented
82#10622834C2211yescharacteristic, complemented
83#10622833C2211yescharacteristic
84#10622833C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622833C2211yescharacteristic
87#10622833C2211yescharacteristic
88#10622833C2211yescharacteristic
89#10622833C2211yescharacteristic
90#10622833C2211yescharacteristic
91#10622833C2211yescharacteristic
92#10622833C2211yescharacteristic
93#10622833C2211yescharacteristic, complemented
94#10622833C2211yescharacteristic, complemented
95#10622833C2211yescharacteristic, complemented
96#10622833C2211yescharacteristic, complemented
97#10622833C2211yescharacteristic, complemented
98#10622824C2211yescharacteristic
99C2×C11⋊#95C2211yescharacteristic
100C2×C11⋊#95C2211yescharacteristic
101#10622606C2211yescharacteristic, complemented
102#10622600C2211yescharacteristic, complemented
103#10622599C2211yescharacteristic, complemented
104#10622596C2211yescharacteristic, complemented
105#10622593C2211yescharacteristic, complemented
106#10622591C2211yescharacteristic, complemented
107#10622591C2211yescharacteristic, complemented
108#10622586C2211yescharacteristic, complemented
109#10622574C2211yescharacteristic, complemented
110#10622574C2211yescharacteristic, complemented
111#10622574C2211yescharacteristic, complemented
112#10622572C2211yescharacteristic, complemented
113#10622571C2211yescharacteristic
114#10622571C2211yescharacteristic
115#10622571C2211yescharacteristic, complemented
116#10622571C2211yescharacteristic, complemented
117#10622570C2211yescharacteristic, complemented
118#10622570C2211yescharacteristic, complemented
119#10622570C2211yescharacteristic, complemented
120#10622569C2211yescharacteristic, complemented
121#10622569C2211yescharacteristic, complemented
122#10622569C2211yescharacteristic, complemented
123#10622569C2211yescharacteristic, complemented
124#10622566C2211yescharacteristic, complemented
125#10622566C2211yescharacteristic, complemented
126#10622565C2211yescharacteristic, complemented
127#10622565C2211yescharacteristic, complemented
128#10622565C2211yescharacteristic, complemented
129#10622565C2211yescharacteristic, complemented
130#10622565C2211yescharacteristic, complemented
131#10622564C2211yescharacteristic, complemented
132#10622564C2211yescharacteristic, complemented
133#10622564C2211yescharacteristic, complemented
134#10622564C2211yescharacteristic, complemented
135#10622564C2211yescharacteristic, complemented
136#10622564C2211yescharacteristic, complemented
137#10622563C2211yescharacteristic
138#10622563C2211yescharacteristic
139#10622563C2211yescharacteristic, complemented
140#10622563C2211yescharacteristic, complemented
141#10622562C2211yescharacteristic, complemented
142#10622561C2211yescharacteristic, complemented
143#10622561C2211yescharacteristic, complemented
144#10622561C2211yescharacteristic, complemented
145#10622560C2211yescharacteristic, complemented
146#10622559C2211yescharacteristic
147#10622559C2211yescharacteristic
148#10622559C2211yescharacteristic, complemented
149#10622559C2211yescharacteristic, complemented
150#10622559C2211yescharacteristic, complemented
151#10622558C2211yescharacteristic, complemented
152#10622558C2211yescharacteristic, complemented
153#10622558C2211yescharacteristic, complemented
154#10622558C2211yescharacteristic, complemented
155#10622558C2211yescharacteristic, complemented
156#10622558C2211yescharacteristic, complemented
157#10622558C2211yescharacteristic, complemented
158#10622557C2211yescharacteristic, complemented
159#10622557C2211yescharacteristic, complemented
160#10622557C2211yescharacteristic, complemented
161#10622557C2211yescharacteristic, complemented
162#10622556C2211yescharacteristic, complemented
163#10622555C2211yescharacteristic
164#10622555C2211yescharacteristic
165#10622555C2211yescharacteristic, complemented
166#10622555C2211yescharacteristic, complemented
167#10622555C2211yescharacteristic, complemented
168#10622555C2211yescharacteristic, complemented
169C22⋊C4×Dic11C2211yescharacteristic
170C22⋊C4×Dic11C2211yescharacteristic
171#10622288C2211yescharacteristic, complemented
172#10622286C2211yescharacteristic, complemented
173#10622283C2211yescharacteristic, complemented
174#10622282C2211yescharacteristic, complemented
175C11⋊#401C2211yescharacteristic, complemented
176#10622273C2211yescharacteristic, complemented
177#10622273C2211yescharacteristic, complemented
178#10622272C2211yescharacteristic, complemented
179#10622271C2211yescharacteristic, complemented
180#10622271C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622264C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C25×C11C2311yescharacteristic
189C22×D4×C11—24no—
190C22×D4×C11—42no—
191C22×D4×C11—42no—
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C22×D4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C23×Dic11—42no—
209C23×Dic11—42no—
210C23×Dic11—42no—
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×Dic22C2311yescharacteristic
222C11×#123—42no—
223C11×#120—24no—
224C11×#120—42no—
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×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244#67006—24no—
245#67006—42no—
246C2×C22⋊Dic11—42no—
247C2×C22⋊Dic11—42no—
248C2×C22⋊Dic11—42no—
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
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281C2×C22⋊Dic11C2311yescharacteristic
282#66992—42no—
283#66992—42no—
284#66992—42no—
285#66992—42no—
286#66989—42no—
287D4×Dic11—42no—
288#66982—42no—
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323#66936—42no—
324(C22⋊D11)⋊C4—42no—
325#66932—42no—
326#66931—42no—
327#66931—42no—
328#66931—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#36758—111nomaximal, Sylow
370C24×C11—22no—
371C24×C11—22no—
372C24×C11—22no—
373C24×C11—22no—
374C24×C11—22no—
375C24×C11—41no—
376C24×C11—41no—
377C24×C11—41no—
378C24×C11—41no—
379C24×C11—41no—
380C24×C11—41no—
381C24×C11—41no—
382C24×C11—41no—
383C24×C11#4114yes—
384C24×C11C2411yescharacteristic
385C24×C11C2411yescharacteristic
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C24×C11C2411yescharacteristic
389C24×C11C2411yescharacteristic
390C23×D11C2411yescharacteristic
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—22no—
396C2×D4×C11—22no—
397C2×D4×C11—22no—
398C2×D4×C11—22no—
399C2×D4×C11—22no—
400C2×D4×C11—41no—
401C2×D4×C11—41no—
402C2×D4×C11—41no—
403C2×D4×C11—41no—
404C2×D4×C11—41no—
405C2×D4×C11—41no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C2×D4×C11—41no—
410C2×D4×C11—41no—
411C2×D4×C11—41no—
412C2×D4×C11—41no—
413C2×D4×C11—41no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C2×D4×C11—416no—
419C22×C4×C11—22no—
420C22×C4×C11—22no—
421C22×C4×C11—22no—
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C22×Dic11—22no—
450C22×Dic11—22no—
451C22×Dic11—22no—
452C22×Dic11—22no—
453C22×Dic11—22no—
454C22×Dic11—22no—
455C22×Dic11—22no—
456C22×Dic11—22no—
457C22×Dic11—22no—
458C22×Dic11—22no—
459C22×Dic11—41no—
460C22×Dic11—41no—
461C22×Dic11—41no—
462C22×Dic11—41no—
463C22×Dic11—41no—
464C22×Dic11—41no—
465C22×Dic11—41no—
466C22×Dic11—41no—
467C22×Dic11—41no—
468C22×Dic11—41no—
469C22×Dic11—41no—
470C22×Dic11—41no—
471C22×Dic11—41no—
472C22×Dic11—41no—
473C22×Dic11—41no—
474C22×Dic11—41no—
475C22×Dic11—41no—
476C22×Dic11—416no—
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—41no—
495C2×Dic22—22no—
496C2×Dic22—41no—
497C2×Dic22—41no—
498C11×C4⋊C4—41no—
499C11×C4⋊C4—41no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—41no—
506C11×C22⋊C4—41no—
507C11×C22⋊C4—41no—
508C11×C22⋊C4—41no—
509C11×C22⋊C4—41no—
510C11×C22⋊C4—41no—
511C11×C22⋊C4—41no—
512C11×C22⋊C4—41no—
513C11×C22⋊C4—41no—
514C11×C22⋊C4—41no—
515C11×C22⋊C4—41no—
516C11×C22⋊C4—41no—
517C22⋊Dic11—22no—
518C22⋊Dic11—22no—
519C22⋊Dic11—22no—
520C22⋊Dic11—22no—
521C22⋊Dic11—22no—
522C22⋊Dic11—22no—
523C22⋊Dic11—22no—
524C22⋊Dic11—22no—
525C22⋊Dic11—22no—
526C22⋊Dic11—22no—
527C22⋊Dic11—41no—
528C22⋊Dic11—41no—
529C22⋊Dic11—41no—
530C22⋊Dic11—41no—
531C22⋊Dic11—41no—
532C22⋊Dic11—41no—
533C22⋊Dic11—41no—
534C22⋊Dic11—41no—
535C22⋊Dic11—41no—
536C22⋊Dic11—41no—
537C22⋊Dic11—41no—
538C22⋊Dic11—41no—
539C22⋊Dic11—41no—
540C22⋊Dic11—41no—
541C22⋊Dic11—41no—
542C22⋊Dic11—41no—
543C22⋊Dic11—41no—
544C22⋊Dic11—41no—
545C22⋊Dic11—41no—
546C22⋊Dic11—41no—
547C22⋊Dic11—41no—
548C22⋊Dic11—41no—
549C22⋊Dic11—41no—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558C4⋊Dic11—22no—
559C4⋊Dic11—41no—
560C4⋊Dic11—41no—
561C4⋊Dic11—41no—
562C4⋊Dic11—41no—
563C4⋊Dic11—41no—
564Dic11⋊C4—22no—
565Dic11⋊C4—22no—
566Dic11⋊C4—22no—
567Dic11⋊C4—41no—
568Dic11⋊C4—41no—
569Dic11⋊C4—41no—
570Dic11⋊C4—41no—
571Dic11⋊C4—41no—
572Dic11⋊C4—41no—
573Dic11⋊C4—41no—
574Dic11⋊C4—41no—
575Dic11⋊C4—41no—
576Dic11⋊C4—41no—
577Dic11⋊C4—41no—
578C4×Dic11—41no—
579C4×Dic11—41no—
580C4×Dic11—41no—
581C4×Dic11—41no—
582C4×Dic11—41no—
583C4×Dic11—41no—
584#2848—111no—
585#2847—111no—
586#2797—111no—
587#2781—111no—
588#2779—111no—
589#2778—111no—
590#2778—111no—
591#2756—111no—
592#2753—111no—
593#2749—111no—
594#2741—111no—
595#2730—111no—
596#2714—111no—
597#2703—111no—
598#2702—111no—
599#2696—111no—
600#2688—111no—
601#2676—111no—
602#2613—111no—
603#2613D1111yescharacteristic, complemented
604#2493—111no—
605#2488—111no—
606#2480—111no—
607#2472—111no—
608#2425—111no—
609#2424—111no—
610#2419—111no—
611#2418—111no—
612#2321—111no—
613#2321—111no—
614C2×#386—111no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—28no—
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×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—44no—
654C23×C11—44no—
655C23×C11—44no—
656C23×C11—44no—
657C23×C11—44no—
658C23×C11—44no—
659C23×C11—44no—
660C23×C11—44no—
661C23×C11—44no—
662C23×C11—82no—
663C23×C11—82no—
664C23×C11—82no—
665C23×C11—82no—
666C23×C11C2×#4112yes—
667C23×C11C2×#4112yes—
668C23×C11C2×#4112yes—
669C23×C11H(5,𝔽2)12yes—
670C23×C11H(5,𝔽2)12yes—
671C23×C11C2511yescharacteristic
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679D4×C11—44no—
680D4×C11—44no—
681D4×C11—44no—
682D4×C11—44no—
683D4×C11—44no—
684D4×C11—82no—
685D4×C11—82no—
686D4×C11—82no—
687D4×C11—82no—
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—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—44no—
716C22⋊D11—44no—
717C22⋊D11—82no—
718C22⋊D11—82no—
719C22⋊D11—82no—
720C22⋊D11—82no—
721C22⋊D11—82no—
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—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—44no—
766C2×Dic11—44no—
767C2×Dic11—44no—
768C2×Dic11—44no—
769C2×Dic11—44no—
770C2×Dic11—44no—
771C2×Dic11—82no—
772C2×Dic11—82no—
773C2×Dic11—82no—
774C2×Dic11H(5,𝔽2)12yes—
775C2×Dic11H(5,𝔽2)12yes—
776C4×D11—82no—
777Dic22—82no—
778C23×D4C2×D1111yescharacteristic
779C24×C4—111no—
780C2×#126—111no—
781C2×#124—111no—
782C2×#123—111no—
783C2×#123—111no—
784C2×#123C2×D1111yescharacteristic
785C2×C22⋊Q8—111no—
786C2×C22⋊Q8—111no—
787C2×C22⋊Q8—111no—
788C2×#121—111no—
789C2×#121—111no—
790C2×#121—111no—
791C2×#121—111no—
792C2×#120—111no—
793C2×#120—111no—
794C2×#120C2×D1111yescharacteristic
795C2×#120C2×D1111yescharacteristic
796C2×C4×D4—111no—
797C2×C4×D4—111no—
798C22×C22⋊C4—111no—
799C22×C22⋊C4—111no—
800C22×C22⋊C4—111no—
801#401—111no—
802#400—111no—
803#400—111no—
804#400—111no—
805#400—111no—
806#400—111no—
807#400—111no—
808#399—111no—
809#398—111no—
810#398—111no—
811#397—111no—
812#397—111no—
813#397—111no—
814#397—111no—
815#397—111no—
816#397—111no—
817#397—111no—
818#397—111no—
819#397—111no—
820#396—111no—
821#396—111no—
822#396—111no—
823#394—111no—
824#394—111no—
825#394—111no—
826#394—111no—
827#394—111no—
828#394—111no—
829#394—111no—
830#394—111no—
831#394—111no—
832#394—111no—
833#394—111no—
834#394C2×D1111yescharacteristic
835#394C2×D1111yescharacteristic
836#394C2×D1111yescharacteristic
837#394C2×D1111yescharacteristic
838#393—111no—
839#393—111no—
840#392—111no—
841#392—111no—
842#392—111no—
843#392—111no—
844#392—111no—
845#392C2×D1111yescharacteristic
846#392C2×D1111yescharacteristic
847#392C2×D1111yescharacteristic
848#392C2×D1111yescharacteristic
849#391—111no—
850#390—111no—
851#390—111no—
852#390—111no—
853#390—111no—
854#390—111no—
855#390—111no—
856#389—111no—
857#388—111no—
858#388—111no—
859#388—111no—
860#388—111no—
861#388—111no—
862#388—111no—
863#388—111no—
864#388—111no—
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#387—111no—
877#387—111no—
878#387—111no—
879#387—111no—
880#387—111no—
881#386—111no—
882#386—111no—
883#386—111no—
884#386—111no—
885#386—111no—
886#386—111no—
887#386—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386—111no—
894#386—111no—
895#386—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#385—111no—
905#385—111no—
906#385—111no—
907#385—111no—
908#385—111no—
909#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#383—111no—
914#382—111no—
915#381—111no—
916#381—111no—
917#381C2×D1111yescharacteristic
918#380—111no—
919#380—111no—
920#380—111no—
921#380—111no—
922#380—111no—
923#380—111no—
924#380—111no—
925#379—111no—
926#379—111no—
927#379C2×D1111yescharacteristic
928#379C2×D1111yescharacteristic
929C4×C22⋊C4—111no—
930C4×C22⋊C4—111no—
931C2×#95—111no—
932C2×#95—111no—
933C22×C11—22no—
934C22×C11—22no—
935C22×C11—22no—
936C22×C11—22no—
937C22×C11—22no—
938C22×C11—22no—
939C22×C11—22no—
940C22×C11—22no—
941C22×C11—22no—
942C22×C11—22no—
943C22×C11—22no—
944C22×C11—22no—
945C22×C11—416no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—41no—
954C22×C11—41no—
955C22×C11—41no—
956C22×C11—41no—
957C22×C11—41no—
958C22×C11—41no—
959C22×C11—41no—
960C22×C11—41no—
961C22×C11—41no—
962C22×C11—41no—
963C22×C11—41no—
964C22×C11—41no—
965C22×C11—41no—
966C22×C11—41no—
967C22×C11—41no—
968C22×C11—41no—
969C22×C11—41no—
970C22×C11—41no—
971C22×C11—41no—
972C22×C11—41no—
973C22×C11—41no—
974C22×C11—41no—
975C22×C11—88no—
976C22×C11#53814yes—
977C22×C11C22×#4111yescharacteristic
978C22×C11C2×H(5,𝔽2)11yescharacteristic
979C22×C11C2×H(5,𝔽2)11yescharacteristic
980C22×C11C2×H(5,𝔽2)11yescharacteristic
981C22×C11C2×H(5,𝔽2)11yescharacteristic
982C22×C11#58511yescharacteristic
983C22×C11#58511yescharacteristic
984C2×D11—41no—
985C2×D11—41no—
986C2×D11—41no—
987C2×D11—41no—
988C2×D11—41no—
989C2×D11—41no—
990C2×D11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996C4×C11—41no—
997C4×C11—41no—
998C4×C11—41no—
999C4×C11—41no—
1000Dic11—22no—
1001Dic11—22no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009Dic11—41no—
1010Dic11—41no—
1011Dic11—41no—
1012Dic11—41no—
1013Dic11—41no—
1014Dic11—41no—
1015C25C22×D1111yescharacteristic
1016C25C22×D1111yescharacteristic
1017C22×Q8—111no—
1018C22×D4—24no—
1019C22×D4—42no—
1020C22×D4—42no—
1021C22×D4—111no—
1022C22×D4—111no—
1023C22×D4—111no—
1024C22×D4—111no—
1025C22×D4—111no—
1026C22×D4—111no—
1027C22×D4C22×D1111yescharacteristic
1028C22×D4C22×D1111yescharacteristic
1029C22×D4C22×D1111yescharacteristic
1030C22×D4C22×D1111yescharacteristic
1031C22×D4C22×D1111yescharacteristic
1032C22×D4C22×D1111yescharacteristic
1033C22×D4C22×D1111yescharacteristic
1034C22×D4C22×D1111yescharacteristic
1035C22×D4C22×D1111yescharacteristic
1036C23×C4—111no—
1037C23×C4—111no—
1038C23×C4—111no—
1039C23×C4—111no—
1040C23×C4—111no—
1041C23×C4—111no—
1042C23×C4—111no—
1043C23×C4—111no—
1044C23×C4—111no—
1045C23×C4—111no—
1046C23×C4—442no—
1047C23×C4—442no—
1048C23×C4—442no—
1049C23×C4C22×D1111yescharacteristic
1050#126—442no—
1051#124—442no—
1052#123—42no—
1053#123—442no—
1054#123—442no—
1055C22⋊Q8—442no—
1056C22⋊Q8—442no—
1057C22⋊Q8—442no—
1058#121—442no—
1059#121—442no—
1060#121—442no—
1061#121—442no—
1062#120—24no—
1063#120—42no—
1064#120—224no—
1065#120—442no—
1066C4×D4—442no—
1067C4×D4—442no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—111no—
1088C2×C4⋊C4C22×D1111yescharacteristic
1089C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—442no—
1132C2×C22⋊C4—442no—
1133C2×C22⋊C4—442no—
1134C2×C22⋊C4C22×D1111yescharacteristic
1135C2×C22⋊C4C22×D1111yescharacteristic
1136C2×C22⋊C4C22×D1111yescharacteristic
1137C2×C22⋊C4C22×D1111yescharacteristic
1138C2×C22⋊C4C22×D1111yescharacteristic
1139C2×C22⋊C4C22×D1111yescharacteristic
1140C2×C22⋊C4C22×D1111yescharacteristic
1141C2×C22⋊C4C22×D1111yescharacteristic
1142C2×C22⋊C4C22×D1111yescharacteristic
1143C2×C22⋊C4C22×D1111yescharacteristic
1144C2×C22⋊C4C22×D1111yescharacteristic
1145C2×C22⋊C4C22×D1111yescharacteristic
1146C2×C22⋊C4C22×D1111yescharacteristic
1147C2×C22⋊C4C22×D1111yescharacteristic
1148C2×C22⋊C4C22×D1111yescharacteristic
1149C2×C22⋊C4C22×D1111yescharacteristic
1150C2×C22⋊C4C22×D1111yescharacteristic
1151C2×C42—111no—
1152C2×C42—111no—
1153C2×C42—111no—
1154C2×C42—111no—
1155C2×C42—111no—
1156C2×C42—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95C22×D1111yescharacteristic
1194#95C22×D1111yescharacteristic
1195#95C22×D1111yescharacteristic
1196#95C22×D1111yescharacteristic
1197C2×C11—24no—
1198C2×C11—42no—
1199C2×C11—42no—
1200C2×C11—81no—
1201C2×C11—81no—
1202C2×C11—81no—
1203C2×C11C2×#53811yescharacteristic
1204C2×C11#350511yescharacteristic
1205C2×C11#350511yescharacteristic
1206C2×C11#353211yescharacteristic
1207C2×C11#353311yescharacteristic
1208C2×C11#354211yescharacteristic
1209C2×C11#354211yescharacteristic
1210D11—81no—
1211C24—22no—
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—41no—
1217C24—41no—
1218C24—41no—
1219C24—41no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24—111no—
1225C24#434114yes—
1226C24C23×D1111yescharacteristic
1227C24C23×D1111yescharacteristic
1228C24C23×D1111yescharacteristic
1229C24C23×D1111yescharacteristic
1230C24C23×D1111yescharacteristic
1231C24C23×D1111yescharacteristic
1232C2×Q8—222no—
1233C2×Q8—441no—
1234C2×Q8—441no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—416no—
1263C2×D4—222no—
1264C2×D4—222no—
1265C2×D4—222no—
1266C2×D4—222no—
1267C2×D4—222no—
1268C2×D4—222no—
1269C2×D4—441no—
1270C2×D4—441no—
1271C2×D4—441no—
1272C2×D4—441no—
1273C2×D4—441no—
1274C2×D4—441no—
1275C2×D4—441no—
1276C2×D4—441no—
1277C2×D4—441no—
1278C2×D4—441no—
1279C2×D4—441no—
1280C2×D4—441no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—111no—
1285C22×C4—111no—
1286C22×C4—111no—
1287C22×C4—111no—
1288C22×C4—111no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—111no—
1293C22×C4—111no—
1294C22×C4—111no—
1295C22×C4—111no—
1296C22×C4—111no—
1297C22×C4—111no—
1298C22×C4—111no—
1299C22×C4—222no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—222no—
1305C22×C4—222no—
1306C22×C4—222no—
1307C22×C4—222no—
1308C22×C4—222no—
1309C22×C4—441no—
1310C22×C4—441no—
1311C22×C4—441no—
1312C22×C4—441no—
1313C22×C4—441no—
1314C22×C4—441no—
1315C22×C4—441no—
1316C22×C4—441no—
1317C22×C4—441no—
1318C22×C4—441no—
1319C22×C4—441no—
1320C22×C4—441no—
1321C22×C4—441no—
1322C22×C4—441no—
1323C22×C4—441no—
1324C22×C4—441no—
1325C22×C4—441no—
1326C22×C4—441no—
1327C22×C4—441no—
1328C22×C4—441no—
1329C22×C4—4416no—
1330C22×C4C23×D1111yescharacteristic
1331C22×C4C23×D1111yescharacteristic
1332C22×C4C23×D1111yescharacteristic
1333C22×C4C23×D1111yescharacteristic
1334C22×C4C23×D1111yescharacteristic
1335C22×C4C23×D1111yescharacteristic
1336C22×C4C23×D1111yescharacteristic
1337C22×C4C23×D1111yescharacteristic
1338C22×C4C23×D1111yescharacteristic
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—222no—
1342C4⋊C4—222no—
1343C4⋊C4—222no—
1344C4⋊C4—222no—
1345C4⋊C4—441no—
1346C4⋊C4—441no—
1347C4⋊C4—441no—
1348C4⋊C4—441no—
1349C4⋊C4—441no—
1350C4⋊C4—441no—
1351C4⋊C4—441no—
1352C4⋊C4—441no—
1353C4⋊C4—441no—
1354C4⋊C4—441no—
1355C4⋊C4—441no—
1356C4⋊C4—441no—
1357C4⋊C4—441no—
1358C4⋊C4—441no—
1359C4⋊C4—441no—
1360C4⋊C4—441no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—222no—
1379C22⋊C4—222no—
1380C22⋊C4—222no—
1381C22⋊C4—222no—
1382C22⋊C4—222no—
1383C22⋊C4—222no—
1384C22⋊C4—222no—
1385C22⋊C4—222no—
1386C22⋊C4—222no—
1387C22⋊C4—222no—
1388C22⋊C4—222no—
1389C22⋊C4—441no—
1390C22⋊C4—441no—
1391C22⋊C4—441no—
1392C22⋊C4—441no—
1393C22⋊C4—441no—
1394C22⋊C4—441no—
1395C22⋊C4—441no—
1396C22⋊C4—441no—
1397C22⋊C4—441no—
1398C22⋊C4—441no—
1399C22⋊C4—441no—
1400C22⋊C4—441no—
1401C22⋊C4—441no—
1402C22⋊C4—441no—
1403C22⋊C4—441no—
1404C22⋊C4—441no—
1405C22⋊C4—441no—
1406C22⋊C4—441no—
1407C22⋊C4—441no—
1408C22⋊C4—441no—
1409C22⋊C4—441no—
1410C22⋊C4—441no—
1411C22⋊C4—441no—
1412C22⋊C4—441no—
1413C22⋊C4—441no—
1414C22⋊C4—441no—
1415C22⋊C4—441no—
1416C22⋊C4—441no—
1417C22⋊C4—441no—
1418C22⋊C4—441no—
1419C42—441no—
1420C42—441no—
1421C42—441no—
1422C42—441no—
1423C42—441no—
1424C42—441no—
1425C11#3675811yescharacteristic, complemented, Sylow
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—28no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—82no—
1474C23—82no—
1475C23—82no—
1476C23—82no—
1477C23—221no—
1478C23—221no—
1479C23—221no—
1480C23—221no—
1481C23—221no—
1482C23—221no—
1483C23—221no—
1484C23C2×#434112yes—
1485C23C2×#434112yes—
1486C23C2×#434112yes—
1487C23#6703712yes—
1488C23#6703712yes—
1489C23C24×D1111yescharacteristic
1490Q8—882no—
1491D4—44no—
1492D4—44no—
1493D4—44no—
1494D4—44no—
1495D4—44no—
1496D4—82no—
1497D4—82no—
1498D4—82no—
1499D4—82no—
1500D4—444no—
1501D4—882no—
1502D4—882no—
1503D4—882no—
1504D4—882no—
1505D4—882no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—44no—
1534C2×C4—112no—
1535C2×C4—112no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—444no—
1580C2×C4—444no—
1581C2×C4—444no—
1582C2×C4—444no—
1583C2×C4—444no—
1584C2×C4—444no—
1585C2×C4—882no—
1586C2×C4—882no—
1587C2×C4—882no—
1588C2×C4—882no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—416no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—88no—
1632C22—441no—
1633C22—441no—
1634C22—441no—
1635C22—441no—
1636C22—441no—
1637C22—441no—
1638C22—441no—
1639C22#1062312414yes—
1640C22C22×#434111yescharacteristic
1641C22C2×#6703711yescharacteristic
1642C22C2×#6703711yescharacteristic
1643C22D11×H(5,𝔽2)11yescharacteristic
1644C22D11×H(5,𝔽2)11yescharacteristic
1645C22#1062345511yescharacteristic
1646C22#1062345511yescharacteristic
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—222no—
1657C4—222no—
1658C4—441no—
1659C4—441no—
1660C4—441no—
1661C4—441no—
1662C4—441no—
1663C4—441no—
1664C4—441no—
1665C4—441no—
1666C4—441no—
1667C4—441no—
1668C4—441no—
1669C4—441no—
1670C4—441no—
1671C2—24no—
1672C2—42no—
1673C2—42no—
1674C2—81no—
1675C2—81no—
1676C2—81no—
1677C2—881no—
1678C2C2×#1062312411yescharacteristic
1679C2#1308245311yescharacteristic
1680C2#1308245311yescharacteristic
1681C2#1308276811yescharacteristic
1682C2#1308277711yescharacteristic
1683C2#1308291911yescharacteristic
1684C2#1308291911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2613C2
hypercenter#2613D11
hypocenterC11#36758
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2613

Complements

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

NH ≅ G/Ntype
1. #13076901C2semidirect
2. #13076896C2semidirect
3. #13076479C2semidirect
4. #13076272C2semidirect
5. #13076242C2semidirect
6. #13076236C2semidirect
7. #13076227C2semidirect
8. #13075931C2semidirect
9. #13075895C2semidirect
10. #13075841C2semidirect
11. #13075736C2semidirect
12. #13075615C2semidirect
13. #13075414C2semidirect
14. #13075252C2semidirect
15. #13075237C2semidirect
16. #13075172C2semidirect
17. #13075058C2semidirect
18. #13074910C2semidirect
19. #13074328C2semidirect
20. #13072997C2semidirect
21. #13072938C2semidirect
22. #13072859C2semidirect
23. #13072741C2semidirect
24. #13072163C2semidirect
25. #13072156C2semidirect
26. #13072089C2semidirect
27. #13072082C2semidirect
28. #13071277C2semidirect
29. #13071271C2semidirect
30. C2×#10622833C2semidirect
31. C11×#2613C2semidirect
43. C2×#66992C22semidirect
44. C2×#66992C22semidirect
45. C2×#66992C22semidirect
46. C2×#66989C22semidirect
49. C2×#66936C22semidirect
51. C2×#66932C22semidirect
53. C2×#66931C22semidirect
54. C2×#66931C22semidirect
72. #10622836C22semidirect
77. #10622835C22semidirect
78. #10622835C22semidirect
79. #10622835C22semidirect
80. #10622834C22semidirect
81. #10622834C22semidirect
82. #10622834C22semidirect
93. #10622833C22semidirect
94. #10622833C22semidirect
95. #10622833C22semidirect
96. #10622833C22semidirect
97. #10622833C22semidirect
101. #10622606C22semidirect
102. #10622600C22semidirect
103. #10622599C22semidirect
104. #10622596C22semidirect
105. #10622593C22semidirect
106. #10622591C22semidirect
107. #10622591C22semidirect
108. #10622586C22semidirect
109. #10622574C22semidirect
110. #10622574C22semidirect
111. #10622574C22semidirect
112. #10622572C22semidirect
115. #10622571C22semidirect
116. #10622571C22semidirect
117. #10622570C22semidirect
118. #10622570C22semidirect
119. #10622570C22semidirect
120. #10622569C22semidirect
121. #10622569C22semidirect
122. #10622569C22semidirect
123. #10622569C22semidirect
124. #10622566C22semidirect
125. #10622566C22semidirect
126. #10622565C22semidirect
127. #10622565C22semidirect
128. #10622565C22semidirect
129. #10622565C22semidirect
130. #10622565C22semidirect
131. #10622564C22semidirect
132. #10622564C22semidirect
133. #10622564C22semidirect
134. #10622564C22semidirect
135. #10622564C22semidirect
136. #10622564C22semidirect
139. #10622563C22semidirect
140. #10622563C22semidirect
141. #10622562C22semidirect
142. #10622561C22semidirect
143. #10622561C22semidirect
144. #10622561C22semidirect
145. #10622560C22semidirect
148. #10622559C22semidirect
149. #10622559C22semidirect
150. #10622559C22semidirect
151. #10622558C22semidirect
152. #10622558C22semidirect
153. #10622558C22semidirect
154. #10622558C22semidirect
155. #10622558C22semidirect
156. #10622558C22semidirect
157. #10622558C22semidirect
158. #10622557C22semidirect
159. #10622557C22semidirect
160. #10622557C22semidirect
161. #10622557C22semidirect
162. #10622556C22semidirect
165. #10622555C22semidirect
166. #10622555C22semidirect
167. #10622555C22semidirect
168. #10622555C22semidirect
171. #10622288C22semidirect
172. #10622286C22semidirect
173. #10622283C22semidirect
174. #10622282C22semidirect
175. C11⋊#401C22semidirect
176. #10622273C22semidirect
177. #10622273C22semidirect
178. #10622272C22semidirect
179. #10622271C22semidirect
180. #10622271C22semidirect
181. #10622268C22semidirect
182. #10622266C22semidirect
183. #10622265C22semidirect
184. #10622264C22semidirect
185. #10622263C22semidirect
186. #10622259C22semidirect
603. #2613D11semidirect
1425. C11#36758semidirect

Maximal subgroups

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

subgroupindex
#130769012
#130768962
#130764792
#130762722
#130762422
#130762362
#130762272
#130759312
#130758952
#130758412
#130757362
#130756152
#130754142
#130752522
#130752372
#130751722
#130750582
#130749102
#130743282
#130729972
#130729382
#130728592
#130727412
#130721632
#130721562
#130720892
#130720822
#130712772
#130712712
C2×#106228332
C11×#26132
#3675811