Finite Group Databasebeta

← #14925966

Subgroups — #14925966

Order 2816.

1976 conjugacy classes of subgroups.

The subgroup lattice has 1430 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074155C211yesmaximal, characteristic, complemented
2#13074128C211yesmaximal, characteristic, complemented
3#13074077C211yesmaximal, characteristic, complemented
4#13074050C211yesmaximal, characteristic, complemented
5#13073938C211yesmaximal, characteristic, complemented
6#13073911C211yesmaximal, characteristic, complemented
7#13073755C211yesmaximal, characteristic, complemented
8#13073728C211yesmaximal, characteristic, complemented
9#13073007C211yesmaximal, characteristic, complemented
10#13072936C211yesmaximal, characteristic, complemented
11#13072874C211yesmaximal, characteristic, complemented
12#13072423C211yesmaximal, characteristic, complemented
13#13072351C211yesmaximal, characteristic
14#13072165C211yesmaximal, characteristic
15#13072095C211yesmaximal, characteristic, complemented
16#13071920C211yesmaximal, characteristic, complemented
17#13071915C211yesmaximal, characteristic, complemented
18#13071893C211yesmaximal, characteristic, complemented
19#13071880C211yesmaximal, characteristic, complemented
20#125×Dic11C211yesmaximal, characteristic, complemented
21#13071166C211yesmaximal, characteristic, complemented
22#13071148C211yesmaximal, characteristic, complemented
23#13071146C211yesmaximal, characteristic, complemented
24#13071137C211yesmaximal, characteristic, complemented
25#13071135C211yesmaximal, characteristic, complemented
26#13071135C211yesmaximal, characteristic, complemented
27#13071122C211yesmaximal, characteristic
28#13071052C211yesmaximal, characteristic, complemented
29C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
30C2×C4⋊C4×Dic11C211yesmaximal, characteristic, complemented
31C11×#2473C211yesmaximal, characteristic, complemented
32C2×C11×#125C2211yescharacteristic
33C22×C11×C4⋊C4C2211yescharacteristic
34C2×#66983C2211yescharacteristic
35C2×C4×C22⋊D11C2211yescharacteristic
36C22×C4⋊Dic11C2211yescharacteristic
37C22×C4×Dic11C2211yescharacteristic
38C22×C4×Dic11C2211yescharacteristic
39C22×C4×Dic11C2211yescharacteristic
40C2×#66951C2211yescharacteristic
41C2×#66950C2211yescharacteristic
42C2×#66947C2211yescharacteristic
43C2×#66946C2211yescharacteristic
44C2×#66945C2211yescharacteristic
45C2×#66940C2211yescharacteristic
46C2×#66939C2211yescharacteristic
47C2×#66939C2211yescharacteristic
48C2×(C22⋊D11)⋊C4C2211yescharacteristic
49C2×(C22⋊D11)⋊C4C2211yescharacteristic
50C2×(C22⋊D11)⋊C4C2211yescharacteristic
51C2×#66931C2211yescharacteristic
52C2×C42×D11C2211yescharacteristic
53C11×#400C2211yescharacteristic
54C11×#398C2211yescharacteristic
55C11×#398C2211yescharacteristic
56C11×#398C2211yescharacteristic
57C11×#389C2211yescharacteristic
58C11×#387C2211yescharacteristic
59C11×#387C2211yescharacteristic
60C11×#385C2211yescharacteristic
61C11×#385C2211yescharacteristic
62C11×#385C2211yescharacteristic
63C11×#385C2211yescharacteristic
64C11×#380C2211yescharacteristic
65C4×C11×C22⋊C4C2211yescharacteristic
66#10622826C2211yescharacteristic
67#10622826C2211yescharacteristic
68#10622826C2211yescharacteristic
69#10622823C2211yescharacteristic
70C2×C11⋊#95C2211yescharacteristic
71C2×C11⋊#95C2211yescharacteristic
72#10622607C2211yescharacteristic
73#10622607C2211yescharacteristic
74#10622607C2211yescharacteristic
75#10622606C2211yescharacteristic
76#10622606C2211yescharacteristic
77#10622605C2211yescharacteristic
78#10622604C2211yescharacteristic
79#10622604C2211yescharacteristic
80#10622603C2211yescharacteristic
81#10622603C2211yescharacteristic
82#10622603C2211yescharacteristic
83#10622603C2211yescharacteristic
84#10622603C2211yescharacteristic
85#10622603C2211yescharacteristic
86#10622602C2211yescharacteristic
87#10622602C2211yescharacteristic
88#10622601C2211yescharacteristic
89#10622600C2211yescharacteristic
90#10622599C2211yescharacteristic
91#10622599C2211yescharacteristic
92#10622598C2211yescharacteristic
93#10622598C2211yescharacteristic
94#10622597C2211yescharacteristic
95#10622597C2211yescharacteristic
96#10622596C2211yescharacteristic
97#10622595C2211yescharacteristic
98#10622594C2211yescharacteristic
99#10622594C2211yescharacteristic
100#10622594C2211yescharacteristic
101#10622594C2211yescharacteristic
102#10622591C2211yescharacteristic
103#10622591C2211yescharacteristic
104#10622591C2211yescharacteristic
105C4⋊C4×Dic11C2211yescharacteristic
106C4⋊C4×Dic11C2211yescharacteristic
107C4⋊C4×Dic11C2211yescharacteristic
108C4⋊C4×Dic11C2211yescharacteristic
109C4⋊C4×Dic11C2211yescharacteristic
110C4⋊C4×Dic11C2211yescharacteristic
111C4⋊C4×Dic11C2211yescharacteristic
112C4⋊C4×Dic11C2211yescharacteristic
113C4⋊C4×Dic11C2211yescharacteristic
114C4⋊C4×Dic11C2211yescharacteristic
115C4⋊C4×Dic11C2211yescharacteristic
116C4⋊C4×Dic11C2211yescharacteristic
117C4⋊C4×Dic11C2211yescharacteristic
118C4⋊C4×Dic11C2211yescharacteristic
119C4⋊C4×Dic11C2211yescharacteristic
120#10622586C2211yescharacteristic
121#10622585C2211yescharacteristic
122#10622571C2211yescharacteristic
123#10622571C2211yescharacteristic
124#10622571C2211yescharacteristic
125#10622563C2211yescharacteristic
126#10622556C2211yescharacteristic
127#10622556C2211yescharacteristic
128#10622555C2211yescharacteristic
129C22⋊C4×Dic11C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131C22⋊C4×Dic11C2211yescharacteristic
132#10622553C2211yescharacteristic
133#10622553C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135#10622549C2211yescharacteristic
136C4×Dic11⋊C4C2211yescharacteristic
137C42×Dic11C2211yescharacteristic
138#10622542C2211yescharacteristic
139#10622290C2211yescharacteristic
140#10622288C2211yescharacteristic
141#10622287C2211yescharacteristic
142#10622287C2211yescharacteristic
143#10622287C2211yescharacteristic
144#10622286C2211yescharacteristic
145#10622283C2211yescharacteristic
146#10622283C2211yescharacteristic
147#10622283C2211yescharacteristic
148#10622282C2211yescharacteristic
149#10622282C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622277C2211yescharacteristic
162C11⋊#401C2211yescharacteristic
163#10622274C2211yescharacteristic
164#10622273C2211yescharacteristic
165#10622273C2211yescharacteristic
166#10622273C2211yescharacteristic
167#10622272C2211yescharacteristic
168#10622272C2211yescharacteristic
169#10622269C2211yescharacteristic
170#10622268C2211yescharacteristic
171#10622268C2211yescharacteristic
172#10622267C2211yescharacteristic
173#10622267C2211yescharacteristic
174#10622267C2211yescharacteristic
175#10622267C2211yescharacteristic
176#10622267C2211yescharacteristic
177#10622267C2211yescharacteristic
178#10622266C2211yescharacteristic
179#10622266C2211yescharacteristic
180#10622264C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622262C2211yescharacteristic
184#10622262C2211yescharacteristic
185#10622261C2211yescharacteristic
186#10622259C2211yescharacteristic
187C23×C4×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C11×#125—24no—
203C2×C11×C4⋊C4—24no—
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226#66983—24no—
227C4×C22⋊D11—24no—
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×C4⋊Dic11—24no—
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×C4×Dic11—24no—
274C2×C4×Dic11—42no—
275C2×C4×Dic11—42no—
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298#66951—24no—
299#66950—24no—
300#66947—24no—
301#66946—42no—
302#66945—42no—
303#66940—42no—
304#66939—24no—
305#66939—24no—
306(C22⋊D11)⋊C4—24no—
307(C22⋊D11)⋊C4—24no—
308(C22⋊D11)⋊C4—24no—
309#66931—24no—
310C42×D11—42no—
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#34960—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11C2411yescharacteristic
366C23×D11C2411yescharacteristic
367C22×C4×C11—22no—
368C22×C4×C11—22no—
369C22×C4×C11—22no—
370C22×C4×C11—22no—
371C22×C4×C11—22no—
372C22×C4×C11—22no—
373C22×C4×C11—22no—
374C22×C4×C11—41no—
375C22×C4×C11—41no—
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C2×C22⋊D11—22no—
391C2×C22⋊D11—22no—
392C2×C22⋊D11—22no—
393C2×C22⋊D11—22no—
394C2×C22⋊D11—22no—
395C2×C22⋊D11#4114yes—
396C22×Dic11—22no—
397C22×Dic11—22no—
398C22×Dic11—22no—
399C22×Dic11—22no—
400C22×Dic11—22no—
401C22×Dic11—22no—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—22no—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11#4114yes—
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C2×D44—22no—
423C2×D44—22no—
424C2×D44—41no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—22no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×Dic22—22no—
438C2×Dic22—22no—
439C2×Dic22—41no—
440C11×C4⋊C4—22no—
441C11×C4⋊C4—22no—
442C11×C4⋊C4—22no—
443C11×C4⋊C4—22no—
444C11×C4⋊C4—22no—
445C11×C4⋊C4—22no—
446C11×C4⋊C4—22no—
447C11×C4⋊C4—22no—
448C11×C4⋊C4—22no—
449C11×C4⋊C4—22no—
450C11×C4⋊C4—41no—
451C11×C4⋊C4—41no—
452C11×C4⋊C4—41no—
453C11×C4⋊C4#4114yes—
454C11×C22⋊C4—22no—
455C11×C22⋊C4—22no—
456C11×C22⋊C4—22no—
457C11×C22⋊C4#4114yes—
458C42×C11—22no—
459C42×C11—41no—
460C22⋊Dic11—22no—
461C22⋊Dic11—22no—
462(C2×D11)⋊C4—22no—
463(C2×D11)⋊C4—22no—
464(C2×D11)⋊C4—22no—
465(C2×D11)⋊C4—22no—
466(C2×D11)⋊C4—22no—
467(C2×D11)⋊C4—22no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—22no—
470(C2×D11)⋊C4—22no—
471(C2×D11)⋊C4—22no—
472(C2×D11)⋊C4—22no—
473(C2×D11)⋊C4—22no—
474(C2×D11)⋊C4—22no—
475(C2×D11)⋊C4—22no—
476(C2×D11)⋊C4—22no—
477(C2×D11)⋊C4—22no—
478(C2×D11)⋊C4—22no—
479(C2×D11)⋊C4—22no—
480(C2×D11)⋊C4—41no—
481(C2×D11)⋊C4—41no—
482(C2×D11)⋊C4—41no—
483(C2×D11)⋊C4—41no—
484C4⋊Dic11—22no—
485C4⋊Dic11—22no—
486C4⋊Dic11—22no—
487C4⋊Dic11—22no—
488C4⋊Dic11—22no—
489C4⋊Dic11—22no—
490C4⋊Dic11—22no—
491C4⋊Dic11—22no—
492C4⋊Dic11—22no—
493C4⋊Dic11—22no—
494C4⋊Dic11—41no—
495C4⋊Dic11#4114yes—
496Dic11⋊C4—22no—
497Dic11⋊C4—22no—
498Dic11⋊C4—22no—
499Dic11⋊C4—22no—
500Dic11⋊C4—22no—
501Dic11⋊C4—22no—
502Dic11⋊C4—22no—
503Dic11⋊C4—22no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506C4×Dic11—22no—
507C4×Dic11—22no—
508C4×Dic11—22no—
509C4×Dic11—22no—
510C4×Dic11—22no—
511C4×Dic11—22no—
512C4×Dic11—22no—
513C4×Dic11—22no—
514C4×Dic11—22no—
515C4×Dic11—22no—
516C4×Dic11—22no—
517C4×Dic11—22no—
518C4×Dic11—22no—
519C4×Dic11—22no—
520C4×Dic11—22no—
521C4×Dic11—22no—
522C4×Dic11—22no—
523C4×Dic11—41no—
524C4×Dic11—41no—
525C4×Dic11—41no—
526C4×Dic11—41no—
527C4×Dic11—41no—
528#2596—111no—
529#2594—111no—
530#2590—111no—
531#2588—111no—
532#2577—111no—
533#2575—111no—
534#2560—111no—
535#2558—111no—
536#2493—111no—
537#2488—111no—
538#2481—111no—
539#2473D1111yescharacteristic, complemented
540#2449—111no—
541#2443—111no—
542#2425—111no—
543#2419—111no—
544#2402—111no—
545#2401—111no—
546#2396—111no—
547#2395—111no—
548C4×#125—111no—
549C4×#126—111no—
550C4×C22⋊Q8—111no—
551C4×C22⋊Q8—111no—
552C4×#123—111no—
553C4×#123—111no—
554C4×#123—111no—
555C4×#121—111no—
556#2290—111no—
557C42×D4—111no—
558C2×C4×C4⋊C4—111no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11C2×#4112yes—
564C23×C11C2×#4112yes—
565C23×C11C2×#4112yes—
566C23×C11C2511yescharacteristic
567C22×D11—21no—
568C22×D11—21no—
569C22×D11—21no—
570C22×D11—21no—
571C22×D11—21no—
572C22×D11—21no—
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11C2×#4112yes—
581C2×C4×C11—28no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—44no—
619C2×C4×C11—44no—
620C2×C4×C11C2×#4112yes—
621C2×C4×C11C2×#4112yes—
622C2×C4×C11C2×#4112yes—
623C2×C4×C11C2×#4112yes—
624C2×C4×C11C2×#4112yes—
625C2×C4×C11C2×#4112yes—
626C22⋊D11—28no—
627C22⋊D11—44no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—28no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—44no—
665C2×Dic11—44no—
666C2×Dic11—44no—
667C2×Dic11C2×#4112yes—
668C2×Dic11C2×#4112yes—
669C2×Dic11C2×#4112yes—
670C2×Dic11C2×#4112yes—
671C2×Dic11C2×#4112yes—
672C2×Dic11H(5,𝔽2)12yes—
673C2×Dic112−1+412yes—
674D44—44no—
675C4×D11—44no—
676C4×D11—44no—
677C4×D11—44no—
678C4×D11—44no—
679Dic22—44no—
680C2×#126—111no—
681C2×#125C2×D1111yescharacteristic
682C2×#123—111no—
683C2×#123—111no—
684C2×#123—111no—
685C2×C22⋊Q8—111no—
686C2×C22⋊Q8—111no—
687C2×#121—111no—
688C2×C4×Q8—111no—
689C2×C4×D4—111no—
690C2×C4×D4—111no—
691C2×C4×D4—111no—
692C2×C4×D4—111no—
693C2×C4×D4—111no—
694C2×#117—111no—
695C22×C4⋊C4—111no—
696C22×C4⋊C4C2×D1111yescharacteristic
697C22×C42—111no—
698C22×C42—111no—
699C22×C42—111no—
700C22×C42—111no—
701#401—111no—
702#400—111no—
703#400—111no—
704#400—111no—
705#400—111no—
706#400—111no—
707#400—111no—
708#400—111no—
709#400—111no—
710#400C2×D1111yescharacteristic
711#399—111no—
712#399—111no—
713#398—111no—
714#398—111no—
715#398—111no—
716#398—111no—
717#398C2×D1111yescharacteristic
718#398C2×D1111yescharacteristic
719#398C2×D1111yescharacteristic
720#397—111no—
721#397—111no—
722#397—111no—
723#397—111no—
724#397—111no—
725#397—111no—
726#396—111no—
727#396—111no—
728#396—111no—
729#395—111no—
730#394—111no—
731#394—111no—
732#393—111no—
733#391—111no—
734#391—111no—
735#390—111no—
736#389—111no—
737#389—111no—
738#389—111no—
739#389—111no—
740#389C2×D1111yescharacteristic
741#388—111no—
742#388—111no—
743#388—111no—
744#388—111no—
745#388—111no—
746#388—111no—
747#388—111no—
748#388—111no—
749#388—111no—
750#388—111no—
751#388—111no—
752#388—111no—
753#388—111no—
754#387—111no—
755#387—111no—
756#387—111no—
757#387—111no—
758#387—111no—
759#387—111no—
760#387—111no—
761#387—111no—
762#387—111no—
763#387—111no—
764#387—111no—
765#387—111no—
766#387—111no—
767#387—111no—
768#387—111no—
769#387—111no—
770#387—111no—
771#387C2×D1111yescharacteristic
772#387C2×D1111yescharacteristic
773#386—111no—
774#386—111no—
775#386—111no—
776#386—111no—
777#386—111no—
778#386—111no—
779#386—111no—
780#385—111no—
781#385—111no—
782#385—111no—
783#385—111no—
784#385—111no—
785#385C2×D1111yescharacteristic
786#385C2×D1111yescharacteristic
787#385C2×D1111yescharacteristic
788#385C2×D1111yescharacteristic
789#383—111no—
790#382—111no—
791#381—111no—
792#381—111no—
793#381—111no—
794#380—111no—
795#380—111no—
796#380C2×D1111yescharacteristic
797C4×C4⋊C4—111no—
798C4×C4⋊C4—111no—
799C4×C4⋊C4—111no—
800C4×C4⋊C4—111no—
801C4×C4⋊C4—111no—
802C4×C4⋊C4—111no—
803C4×C4⋊C4—111no—
804C4×C4⋊C4—111no—
805C4×C4⋊C4—111no—
806C4×C4⋊C4—111no—
807C4×C4⋊C4—111no—
808C4×C4⋊C4—111no—
809C4×C4⋊C4—111no—
810C4×C4⋊C4—111no—
811C4×C4⋊C4—111no—
812C4×C4⋊C4—111no—
813C4×C4⋊C4—111no—
814C4×C4⋊C4—111no—
815C4×C4⋊C4—111no—
816C4×C4⋊C4—111no—
817C4×C22⋊C4—111no—
818C4×C22⋊C4—111no—
819C4×C22⋊C4—111no—
820C4×C22⋊C4—111no—
821C4×C22⋊C4—111no—
822C4×C22⋊C4—111no—
823C4×C22⋊C4—111no—
824C4×C22⋊C4—111no—
825C4×C22⋊C4—111no—
826C4×C22⋊C4—111no—
827C4×C22⋊C4—111no—
828C4×C22⋊C4—111no—
829C4×C22⋊C4—111no—
830C4×C22⋊C4C2×D1111yescharacteristic
831#376—111no—
832C2×#95—111no—
833C2×#95—111no—
834C43—111no—
835C22×C11—22no—
836C22×C11—22no—
837C22×C11—22no—
838C22×C11—22no—
839C22×C11—22no—
840C22×C11—22no—
841C22×C11#52914yes—
842C22×C11C22×#4111yescharacteristic
843C22×C11C22×#4111yescharacteristic
844C22×C11C22×#4111yescharacteristic
845C22×C11C22×#4111yescharacteristic
846C22×C11C22×#4111yescharacteristic
847C22×C11C2×H(5,𝔽2)11yescharacteristic
848C22×C11C2×2−1+411yescharacteristic
849C2×D11—22no—
850C2×D11—22no—
851C2×D11—22no—
852C2×D11—41no—
853C2×D11—41no—
854C2×D11—41no—
855C2×D11—41no—
856C2×D11—41no—
857C2×D11—41no—
858C2×D11—41no—
859C2×D11—41no—
860C2×D11—41no—
861C2×D11—41no—
862C2×D11—41no—
863C4×C11—22no—
864C4×C11—22no—
865C4×C11—22no—
866C4×C11—22no—
867C4×C11—22no—
868C4×C11—22no—
869C4×C11—41no—
870C4×C11—41no—
871C4×C11—41no—
872C4×C11—41no—
873C4×C11—41no—
874C4×C11—41no—
875C4×C11—41no—
876C4×C11—41no—
877Dic11—22no—
878Dic11—22no—
879Dic11—22no—
880Dic11—22no—
881Dic11—41no—
882Dic11—41no—
883Dic11—41no—
884Dic11—41no—
885Dic11—41no—
886Dic11—41no—
887Dic11—41no—
888Dic11—41no—
889Dic11—41no—
890Dic11#53914yes—
891C22×Q8—111no—
892C22×D4—111no—
893C22×D4—111no—
894C22×D4—111no—
895C23×C4—111no—
896C23×C4—111no—
897C23×C4—111no—
898C23×C4—111no—
899C23×C4—111no—
900C23×C4—111no—
901C23×C4—111no—
902C23×C4—111no—
903C23×C4C22×D1111yescharacteristic
904C23×C4C22×D1111yescharacteristic
905C23×C4C22×D1111yescharacteristic
906#126—224no—
907#125—24no—
908#123—224no—
909#123—224no—
910#123—224no—
911C22⋊Q8—224no—
912C22⋊Q8—224no—
913#121—224no—
914C4×Q8—442no—
915C4×D4—224no—
916C4×D4—224no—
917C4×D4—224no—
918C4×D4—224no—
919C4×D4—442no—
920#117—442no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—224no—
945C2×C4⋊C4C22×D1111yescharacteristic
946C2×C4⋊C4C22×D1111yescharacteristic
947C2×C4⋊C4C22×D1111yescharacteristic
948C2×C4⋊C4C22×D1111yescharacteristic
949C2×C4⋊C4C22×D1111yescharacteristic
950C2×C4⋊C4C22×D1111yescharacteristic
951C2×C4⋊C4C22×D1111yescharacteristic
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C4⋊C4C22×D1111yescharacteristic
955C2×C4⋊C4C22×D1111yescharacteristic
956C2×C4⋊C4C22×D1111yescharacteristic
957C2×C4⋊C4C22×D1111yescharacteristic
958C2×C4⋊C4C22×D1111yescharacteristic
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4C22×D1111yescharacteristic
984C2×C22⋊C4C22×D1111yescharacteristic
985C2×C22⋊C4C22×D1111yescharacteristic
986C2×C22⋊C4C22×D1111yescharacteristic
987C2×C42—111no—
988C2×C42—111no—
989C2×C42—111no—
990C2×C42—111no—
991C2×C42—111no—
992C2×C42—111no—
993C2×C42—111no—
994C2×C42—111no—
995C2×C42—111no—
996C2×C42—111no—
997C2×C42—111no—
998C2×C42—111no—
999C2×C42—111no—
1000C2×C42—111no—
1001C2×C42—111no—
1002C2×C42—111no—
1003C2×C42—111no—
1004C2×C42—111no—
1005C2×C42—111no—
1006C2×C42—111no—
1007C2×C42—111no—
1008C2×C42—111no—
1009C2×C42—224no—
1010C2×C42—442no—
1011C2×C42—442no—
1012C2×C42—442no—
1013C2×C42C22×D1111yescharacteristic
1014C2×C42C22×D1111yescharacteristic
1015#95—111no—
1016#95—111no—
1017#95—111no—
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95C22×D1111yescharacteristic
1056#95C22×D1111yescharacteristic
1057#95C22×D1111yescharacteristic
1058#95C22×D1111yescharacteristic
1059#95C22×D1111yescharacteristic
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067C2×C11—24no—
1068C2×C11C2×#52911yescharacteristic
1069C2×C11#344411yescharacteristic
1070C2×C11C2×#53911yescharacteristic
1071C2×C11#348111yescharacteristic
1072C2×C11#348111yescharacteristic
1073C2×C11#348211yescharacteristic
1074C2×C11#348211yescharacteristic
1075D11—42no—
1076D11—81no—
1077C24—111no—
1078C24—111no—
1079C24C23×D1111yescharacteristic
1080C2×Q8—222no—
1081C2×Q8—222no—
1082C2×Q8—441no—
1083C2×D4—114no—
1084C2×D4—222no—
1085C2×D4—222no—
1086C2×D4—222no—
1087C2×D4—222no—
1088C2×D4—222no—
1089C2×D4—222no—
1090C2×D4—222no—
1091C2×D4—441no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—111no—
1102C22×C4—114no—
1103C22×C4—111no—
1104C22×C4—111no—
1105C22×C4—111no—
1106C22×C4—111no—
1107C22×C4—111no—
1108C22×C4—111no—
1109C22×C4—111no—
1110C22×C4—111no—
1111C22×C4—111no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—111no—
1116C22×C4—222no—
1117C22×C4—222no—
1118C22×C4—222no—
1119C22×C4—222no—
1120C22×C4—222no—
1121C22×C4—222no—
1122C22×C4—222no—
1123C22×C4—222no—
1124C22×C4—222no—
1125C22×C4—222no—
1126C22×C4—222no—
1127C22×C4—222no—
1128C22×C4—222no—
1129C22×C4—222no—
1130C22×C4—222no—
1131C22×C4—222no—
1132C22×C4—222no—
1133C22×C4—222no—
1134C22×C4—222no—
1135C22×C4—441no—
1136C22×C4—441no—
1137C22×C4—441no—
1138C22×C4—441no—
1139C22×C4C23×D1111yescharacteristic
1140C22×C4C23×D1111yescharacteristic
1141C22×C4C23×D1111yescharacteristic
1142C22×C4C23×D1111yescharacteristic
1143C22×C4C23×D1111yescharacteristic
1144C22×C4C23×D1111yescharacteristic
1145C22×C4C23×D1111yescharacteristic
1146C22×C4C23×D1111yescharacteristic
1147C22×C4C23×D1111yescharacteristic
1148C22×C4C23×D1111yescharacteristic
1149C22×C4C23×D1111yescharacteristic
1150C22×C4C23×D1111yescharacteristic
1151C22×C4C23×D1111yescharacteristic
1152C22×C4C23×D1111yescharacteristic
1153C4⋊C4—22no—
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—114no—
1167C4⋊C4—222no—
1168C4⋊C4—222no—
1169C4⋊C4—222no—
1170C4⋊C4—222no—
1171C4⋊C4—222no—
1172C4⋊C4—222no—
1173C4⋊C4—222no—
1174C4⋊C4—222no—
1175C4⋊C4—222no—
1176C4⋊C4—222no—
1177C4⋊C4—222no—
1178C4⋊C4—222no—
1179C4⋊C4—222no—
1180C4⋊C4—222no—
1181C4⋊C4—222no—
1182C4⋊C4—222no—
1183C4⋊C4—222no—
1184C4⋊C4—222no—
1185C4⋊C4—441no—
1186C4⋊C4—441no—
1187C4⋊C4—441no—
1188C4⋊C4#434114yes—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—22no—
1192C22⋊C4—222no—
1193C22⋊C4—222no—
1194C22⋊C4—222no—
1195C22⋊C4—222no—
1196C22⋊C4—222no—
1197C22⋊C4—222no—
1198C22⋊C4—222no—
1199C22⋊C4—222no—
1200C22⋊C4—222no—
1201C22⋊C4—222no—
1202C22⋊C4—222no—
1203C22⋊C4—222no—
1204C22⋊C4—222no—
1205C22⋊C4—222no—
1206C22⋊C4—222no—
1207C22⋊C4—222no—
1208C22⋊C4—222no—
1209C22⋊C4—222no—
1210C22⋊C4—222no—
1211C22⋊C4—222no—
1212C22⋊C4—441no—
1213C22⋊C4—441no—
1214C22⋊C4—441no—
1215C22⋊C4—441no—
1216C22⋊C4#434314yes—
1217C42—22no—
1218C42—41no—
1219C42—222no—
1220C42—222no—
1221C42—222no—
1222C42—222no—
1223C42—222no—
1224C42—222no—
1225C42—222no—
1226C42—222no—
1227C42—222no—
1228C42—222no—
1229C42—222no—
1230C42—222no—
1231C42—222no—
1232C42—222no—
1233C42—222no—
1234C42—222no—
1235C42—222no—
1236C42—441no—
1237C42—441no—
1238C42—441no—
1239C42—441no—
1240C42—441no—
1241C11#3496011yescharacteristic, complemented, Sylow
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—112no—
1247C23—221no—
1248C23—221no—
1249C23—221no—
1250C23—221no—
1251C23—221no—
1252C23—221no—
1253C23—221no—
1254C23—221no—
1255C23—221no—
1256C23—221no—
1257C23—221no—
1258C23—221no—
1259C23—221no—
1260C23C2×#434312yes—
1261C23#41×D1112yes—
1262C23#41×D1112yes—
1263C23C24×D1111yescharacteristic
1264Q8—444no—
1265D4—228no—
1266D4—444no—
1267D4—444no—
1268C2×C4—28no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—44no—
1306C2×C4—44no—
1307C2×C4—112no—
1308C2×C4—112no—
1309C2×C4—112no—
1310C2×C4—112no—
1311C2×C4—112no—
1312C2×C4—112no—
1313C2×C4—112no—
1314C2×C4—228no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—444no—
1351C2×C4—444no—
1352C2×C4—444no—
1353C2×C4—444no—
1354C2×C4—444no—
1355C2×C4—444no—
1356C2×C4—444no—
1357C2×C4C2×#434112yes—
1358C2×C4C2×#434112yes—
1359C2×C4C2×#434112yes—
1360C2×C4C2×#434312yes—
1361C2×C4C2×#434312yes—
1362C2×C4#41×D1112yes—
1363C22—22no—
1364C22—22no—
1365C22—22no—
1366C22—22no—
1367C22—22no—
1368C22—22no—
1369C22—222no—
1370C22—222no—
1371C22—222no—
1372C22—441no—
1373C22—441no—
1374C22—441no—
1375C22—441no—
1376C22—441no—
1377C22—441no—
1378C22—441no—
1379C22—441no—
1380C22—441no—
1381C22—441no—
1382C22—441no—
1383C22#1062322214yes—
1384C22C22×#434111yescharacteristic
1385C22C22×#434311yescharacteristic
1386C22C2×#41×D1111yescharacteristic
1387C22C2×#41×D1111yescharacteristic
1388C22C2×#41×D1111yescharacteristic
1389C22D11×H(5,𝔽2)11yescharacteristic
1390C22D11×2−1+411yescharacteristic
1391C4—22no—
1392C4—22no—
1393C4—22no—
1394C4—22no—
1395C4—22no—
1396C4—22no—
1397C4—41no—
1398C4—41no—
1399C4—41no—
1400C4—41no—
1401C4—41no—
1402C4—41no—
1403C4—41no—
1404C4—41no—
1405C4—114no—
1406C4—222no—
1407C4—222no—
1408C4—222no—
1409C4—222no—
1410C4—441no—
1411C4—441no—
1412C4—441no—
1413C4—441no—
1414C4—441no—
1415C4—441no—
1416C4—441no—
1417C4—441no—
1418C4—441no—
1419C2—24no—
1420C2—442no—
1421C2—881no—
1422C2C2×#1062322211yescharacteristic
1423C2#1308190811yescharacteristic
1424C2D11×#53911yescharacteristic
1425C2#1308222111yescharacteristic
1426C2#1308222711yescharacteristic
1427C2#1308223011yescharacteristic
1428C2#1308223711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2473C2
prime radicalC2×#66983C22
hypercenter#2473D11
hypocenterC11#34960
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2473

Complements

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

NH ≅ G/Ntype
1. #13074155C2semidirect
2. #13074128C2semidirect
3. #13074077C2semidirect
4. #13074050C2semidirect
5. #13073938C2semidirect
6. #13073911C2semidirect
7. #13073755C2semidirect
8. #13073728C2semidirect
9. #13073007C2semidirect
10. #13072936C2semidirect
11. #13072874C2semidirect
12. #13072423C2semidirect
15. #13072095C2semidirect
16. #13071920C2semidirect
17. #13071915C2semidirect
18. #13071893C2semidirect
19. #13071880C2semidirect
20. #125×Dic11C2semidirect
21. #13071166C2semidirect
22. #13071148C2semidirect
23. #13071146C2semidirect
24. #13071137C2semidirect
25. #13071135C2semidirect
26. #13071135C2semidirect
28. #13071052C2semidirect
29. C4×(C22⋊D11)⋊C4C2semidirect
30. C2×C4⋊C4×Dic11C2semidirect
31. C11×#2473C2semidirect
539. #2473D11semidirect
1241. C11#34960semidirect

Maximal subgroups

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

subgroupindex
#130741552
#130741282
#130740772
#130740502
#130739382
#130739112
#130737552
#130737282
#130730072
#130729362
#130728742
#130724232
#130723512
#130721652
#130720952
#130719202
#130719152
#130718932
#130718802
#125×Dic112
#130711662
#130711482
#130711462
#130711372
#130711352
#130711222
#130710522
C4×(C22⋊D11)⋊C42
C2×C4⋊C4×Dic112
C11×#24732
#3496011