Finite Group Databasebeta

← #14961695

Subgroups — #14961695

Order 2816.

1662 conjugacy classes of subgroups.

The subgroup lattice has 1404 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076969C211yesmaximal, characteristic, complemented
2#13076923C211yesmaximal, characteristic, complemented
3#13076483C211yesmaximal, characteristic, complemented
4#13076481C211yesmaximal, characteristic, complemented
5#13076309C211yesmaximal, characteristic, complemented
6#13076302C211yesmaximal, characteristic, complemented
7#13076150C211yesmaximal, characteristic, complemented
8#13076142C211yesmaximal, characteristic, complemented
9#13075903C211yesmaximal, characteristic, complemented
10#13075901C211yesmaximal, characteristic, complemented
11#13075562C211yesmaximal, characteristic, complemented
12#13075554C211yesmaximal, characteristic, complemented
13#13075552C211yesmaximal, characteristic, complemented
14#13075550C211yesmaximal, characteristic, complemented
15#13075506C211yesmaximal, characteristic, complemented
16#13075445C211yesmaximal, characteristic, complemented
17#13075443C211yesmaximal, characteristic, complemented
18#13074422C211yesmaximal, characteristic
19#13074422C211yesmaximal, characteristic
20#13073122C211yesmaximal, characteristic, complemented
21#13073118C211yesmaximal, characteristic, complemented
22#13072865C211yesmaximal, characteristic
23#13072863C211yesmaximal, characteristic
24#13072860C211yesmaximal, characteristic
25#13072858C211yesmaximal, characteristic
26#13072758C211yesmaximal, characteristic, complemented
27#13072753C211yesmaximal, characteristic, complemented
28#13071345C211yesmaximal, characteristic, complemented
29#13071345C211yesmaximal, characteristic, complemented
30D11×#388C211yesmaximal, characteristic
31C11×#2721C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic
33C2×C11×#125C2211yescharacteristic, complemented
34C2×#66951C2211yescharacteristic
35C2×#66951C2211yescharacteristic
36C2×#66950C2211yescharacteristic
37C2×#66950C2211yescharacteristic
38C2×C4⋊C4×D11C2211yescharacteristic
39C2×#66942C2211yescharacteristic, complemented
40C2×#66942C2211yescharacteristic, complemented
41C2×C22⋊C4×D11C2211yescharacteristic
42C2×C22⋊C4×D11C2211yescharacteristic
43C2×C22⋊C4×D11C2211yescharacteristic
44C2×#66932C2211yescharacteristic
45C2×C42×D11C2211yescharacteristic
46C2×#66922C2211yescharacteristic, complemented
47C11×#399C2211yescharacteristic
48C11×#399C2211yescharacteristic
49C11×#398C2211yescharacteristic, complemented
50C11×#398C2211yescharacteristic, complemented
51C11×#397C2211yescharacteristic
52C11×#396C2211yescharacteristic
53C11×#389C2211yescharacteristic, complemented
54C11×#388C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#387C2211yescharacteristic, complemented
57C11×#387C2211yescharacteristic, complemented
58C11×#387C2211yescharacteristic, complemented
59C11×#384C2211yescharacteristic, complemented
60#10622607C2211yescharacteristic
61#10622607C2211yescharacteristic
62#10622607C2211yescharacteristic
63#10622607C2211yescharacteristic
64#10622607C2211yescharacteristic
65#10622607C2211yescharacteristic
66#10622606C2211yescharacteristic
67#10622606C2211yescharacteristic
68#10622605C2211yescharacteristic
69#10622605C2211yescharacteristic
70#10622603C2211yescharacteristic
71#10622603C2211yescharacteristic
72#10622603C2211yescharacteristic
73#10622602C2211yescharacteristic
74#10622602C2211yescharacteristic
75#10622602C2211yescharacteristic
76#10622602C2211yescharacteristic
77#10622602C2211yescharacteristic
78#10622602C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622600C2211yescharacteristic
82#10622600C2211yescharacteristic
83#10622600C2211yescharacteristic
84#10622600C2211yescharacteristic
85#10622599C2211yescharacteristic, complemented
86#10622599C2211yescharacteristic, complemented
87#10622599C2211yescharacteristic, complemented
88#10622598C2211yescharacteristic, complemented
89#10622598C2211yescharacteristic, complemented
90#10622598C2211yescharacteristic, complemented
91#10622598C2211yescharacteristic, complemented
92#10622598C2211yescharacteristic, complemented
93#10622597C2211yescharacteristic, complemented
94#10622597C2211yescharacteristic, complemented
95#10622597C2211yescharacteristic, complemented
96#10622596C2211yescharacteristic, complemented
97#10622595C2211yescharacteristic, complemented
98#10622595C2211yescharacteristic, complemented
99#10622594C2211yescharacteristic, complemented
100#10622594C2211yescharacteristic, complemented
101#10622594C2211yescharacteristic, complemented
102#10622594C2211yescharacteristic, complemented
103#10622593C2211yescharacteristic, complemented
104#10622591C2211yescharacteristic, complemented
105#10622590C2211yescharacteristic, complemented
106#10622587C2211yescharacteristic, complemented
107#10622587C2211yescharacteristic, complemented
108#10622586C2211yescharacteristic, complemented
109#10622586C2211yescharacteristic, complemented
110#10622585C2211yescharacteristic, complemented
111#10622585C2211yescharacteristic, complemented
112#10622585C2211yescharacteristic, complemented
113#10622568C2211yescharacteristic
114#10622568C2211yescharacteristic
115#10622568C2211yescharacteristic
116#10622568C2211yescharacteristic
117#10622566C2211yescharacteristic
118#10622566C2211yescharacteristic
119#10622566C2211yescharacteristic
120#10622565C2211yescharacteristic
121#10622565C2211yescharacteristic
122#10622564C2211yescharacteristic
123#10622564C2211yescharacteristic
124#10622564C2211yescharacteristic
125#10622564C2211yescharacteristic
126#10622561C2211yescharacteristic
127#10622561C2211yescharacteristic
128#10622561C2211yescharacteristic
129#10622561C2211yescharacteristic
130#10622561C2211yescharacteristic
131#10622560C2211yescharacteristic
132#10622560C2211yescharacteristic
133#10622558C2211yescharacteristic
134#10622558C2211yescharacteristic
135#10622557C2211yescharacteristic
136#10622557C2211yescharacteristic
137#10622553C2211yescharacteristic
138#10622553C2211yescharacteristic
139#10622553C2211yescharacteristic
140C4×(C2×D11)⋊C4C2211yescharacteristic
141C4×(C2×D11)⋊C4C2211yescharacteristic
142#10622546C2211yescharacteristic, complemented
143#10622546C2211yescharacteristic, complemented
144#10622546C2211yescharacteristic, complemented
145#10622541C2211yescharacteristic, complemented
146#10622541C2211yescharacteristic, complemented
147#10622288C2211yescharacteristic
148#10622288C2211yescharacteristic
149#10622287C2211yescharacteristic
150#10622287C2211yescharacteristic
151#10622286C2211yescharacteristic
152#10622286C2211yescharacteristic
153#10622283C2211yescharacteristic
154#10622283C2211yescharacteristic
155#10622283C2211yescharacteristic
156#10622282C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622281C2211yescharacteristic
159#10622281C2211yescharacteristic
160#10622281C2211yescharacteristic
161#10622280C2211yescharacteristic
162#10622280C2211yescharacteristic
163#10622279C2211yescharacteristic
164#10622279C2211yescharacteristic
165D11×#95C2211yescharacteristic
166D11×#95C2211yescharacteristic
167#10622273C2211yescharacteristic, complemented
168#10622272C2211yescharacteristic, complemented
169#10622271C2211yescharacteristic, complemented
170#10622270C2211yescharacteristic, complemented
171#10622268C2211yescharacteristic, complemented
172#10622268C2211yescharacteristic, complemented
173#10622267C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622267C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622263C2211yescharacteristic, complemented
181#10622263C2211yescharacteristic, complemented
182#10622260C2211yescharacteristic, complemented
183#10622259C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×C4×D11C2311yescharacteristic
189C22×C4×D11C2311yescharacteristic
190C22×C4×D11C2311yescharacteristic
191C22×C4×D11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×Dic22C2311yescharacteristic
195C22×Dic22C2311yescharacteristic
196C11×#126—42no—
197C11×#125—42no—
198C2×C11×C4⋊C4C2311yescharacteristic
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
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×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
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
292#66951—42no—
293#66951—42no—
294#66950—24no—
295#66950—24no—
296C4⋊C4×D11—42no—
297#66942—42no—
298#66942—42no—
299C22⋊C4×D11—24no—
300C22⋊C4×D11—42no—
301C22⋊C4×D11—42no—
302#66932—42no—
303C42×D11—42no—
304#66922—42no—
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
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
357#36760—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C23×D11—22no—
360C23×D11—22no—
361C23×D11—22no—
362C23×D11—41no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×Dic11C2411yescharacteristic
383C22×Dic11C2411yescharacteristic
384C22×Dic11C2411yescharacteristic
385C22×Dic11C2411yescharacteristic
386C22×Dic11C2411yescharacteristic
387C22×Dic11C2411yescharacteristic
388C22×Dic11C2411yescharacteristic
389C22×Dic11C2411yescharacteristic
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C2×C4×D11—22no—
397C2×C4×D11—22no—
398C2×C4×D11—22no—
399C2×C4×D11—22no—
400C2×C4×D11—22no—
401C2×C4×D11—22no—
402C2×C4×D11—22no—
403C2×C4×D11—41no—
404C2×C4×D11—41no—
405C2×C4×D11—41no—
406C2×C4×D11—41no—
407C2×C4×D11—41no—
408C2×C4×D11—41no—
409C2×C4×D11—41no—
410C2×C4×D11—41no—
411C2×C4×D11—41no—
412C2×C4×D11—41no—
413C2×C4×D11#4114yes—
414C2×Dic22—22no—
415C2×Dic22—22no—
416C2×Dic22—41no—
417C2×Dic22—41no—
418C2×Dic22—41no—
419C2×Dic22—41no—
420C11×C4⋊C4—22no—
421C11×C4⋊C4—22no—
422C11×C4⋊C4—22no—
423C11×C4⋊C4—22no—
424C11×C4⋊C4—22no—
425C11×C4⋊C4—22no—
426C11×C4⋊C4—22no—
427C11×C4⋊C4—41no—
428C11×C4⋊C4—41no—
429C11×C4⋊C4—41no—
430C11×C4⋊C4—41no—
431C11×C4⋊C4—41no—
432C11×C4⋊C4—41no—
433C11×C4⋊C4—41no—
434C11×C4⋊C4—41no—
435C11×C22⋊C4—22no—
436C11×C22⋊C4—22no—
437C11×C22⋊C4—22no—
438C11×C22⋊C4—41no—
439C11×C22⋊C4—41no—
440C11×C22⋊C4—41no—
441C11×C22⋊C4—41no—
442C42×C11—22no—
443C42×C11—41no—
444C42×C11—41no—
445C22⋊Dic11—22no—
446C22⋊Dic11—41no—
447C22⋊Dic11—41no—
448C22⋊Dic11—41no—
449C22⋊Dic11—41no—
450C22⋊Dic11—41no—
451C22⋊Dic11—41no—
452(C2×D11)⋊C4—22no—
453(C2×D11)⋊C4—22no—
454(C2×D11)⋊C4—22no—
455(C2×D11)⋊C4—22no—
456(C2×D11)⋊C4—22no—
457(C2×D11)⋊C4—22no—
458(C2×D11)⋊C4—22no—
459(C2×D11)⋊C4—22no—
460(C2×D11)⋊C4—22no—
461(C2×D11)⋊C4—22no—
462(C2×D11)⋊C4—22no—
463(C2×D11)⋊C4—22no—
464(C2×D11)⋊C4—41no—
465(C2×D11)⋊C4—41no—
466(C2×D11)⋊C4—41no—
467(C2×D11)⋊C4—41no—
468(C2×D11)⋊C4—41no—
469(C2×D11)⋊C4—41no—
470(C2×D11)⋊C4—41no—
471(C2×D11)⋊C4—41no—
472(C2×D11)⋊C4—41no—
473(C2×D11)⋊C4—41no—
474C4⋊Dic11—22no—
475C4⋊Dic11—22no—
476C4⋊Dic11—22no—
477C4⋊Dic11—22no—
478C4⋊Dic11—22no—
479C4⋊Dic11—22no—
480C4⋊Dic11—41no—
481C4⋊Dic11—41no—
482C4⋊Dic11—41no—
483C4⋊Dic11—41no—
484C4⋊Dic11—41no—
485C4⋊Dic11—41no—
486C4⋊Dic11—41no—
487Dic11⋊C4—22no—
488Dic11⋊C4—22no—
489Dic11⋊C4—22no—
490Dic11⋊C4—41no—
491Dic11⋊C4—41no—
492Dic11⋊C4—41no—
493Dic11⋊C4—41no—
494Dic11⋊C4—41no—
495Dic11⋊C4—41no—
496Dic11⋊C4—41no—
497Dic11⋊C4—41no—
498Dic11⋊C4—41no—
499Dic11⋊C4—41no—
500Dic11⋊C4—41no—
501Dic11⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505C4×Dic11—22no—
506C4×Dic11—41no—
507C4×Dic11—41no—
508C4×Dic11—41no—
509C4×Dic11—41no—
510C4×Dic11—41no—
511C4×Dic11—41no—
512C4×Dic11—41no—
513C4×Dic11—41no—
514#2857—111no—
515#2851—111no—
516#2798—111no—
517#2798—111no—
518#2783—111no—
519#2783—111no—
520#2772—111no—
521#2772—111no—
522#2754—111no—
523#2754—111no—
524#2725—111no—
525#2725—111no—
526#2725—111no—
527#2725—111no—
528#2721—111no—
529#2721D1111yescharacteristic, complemented
530#2716—111no—
531#2716—111no—
532#2626—111no—
533#2626—111no—
534#2505—111no—
535#2505—111no—
536#2480—111no—
537#2480—111no—
538#2480—111no—
539#2480—111no—
540#2473—111no—
541#2473—111no—
542#2329—111no—
543#2329—111no—
544C2×#388—111no—
545C23×C11—21no—
546C23×C11—21no—
547C23×C11—21no—
548C23×C11—21no—
549C23×C11—21no—
550C23×C11—21no—
551C23×C11—21no—
552C23×C11C2511yescharacteristic
553C22×D11—21no—
554C22×D11—21no—
555C22×D11—21no—
556C22×D11—21no—
557C22×D11—21no—
558C22×D11—21no—
559C22×D11—21no—
560C22×D11—21no—
561C22×D11—21no—
562C22×D11—21no—
563C22×D11—21no—
564C22×D11—44no—
565C22×D11—44no—
566C22×D11—44no—
567C22×D11—82no—
568C22×D11—82no—
569C22×D11—82no—
570C22×D11—82no—
571C22×D11C2×#4112yes—
572C22×D112−1+412yes—
573C22×D112−1+412yes—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
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×C11C2×#4112yes—
614C2×C4×C11H(5,𝔽2)12yes—
615C2×C4×C11H(5,𝔽2)12yes—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—21no—
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—21no—
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×Dic11C2×#4112yes—
658C4×D11—44no—
659C4×D11—44no—
660C4×D11—44no—
661C4×D11—44no—
662C4×D11—82no—
663C4×D11—82no—
664Dic22—82no—
665Dic22—82no—
666C2×C4⋊Q8—111no—
667C2×#126—111no—
668C2×#126—111no—
669C2×#126—111no—
670C2×#126C2×D1111yescharacteristic
671C2×#125—111no—
672C2×#125—111no—
673C2×#125C2×D1111yescharacteristic, complemented
674C2×C22⋊Q8—111no—
675C2×C22⋊Q8—111no—
676C22×C4⋊C4—111no—
677C22×C22⋊C4—111no—
678C22×C22⋊C4—111no—
679C22×C22⋊C4—111no—
680C22×C42—111no—
681#400—111no—
682#400—111no—
683#400—111no—
684#400—111no—
685#400—111no—
686#400—111no—
687#400—111no—
688#400—111no—
689#399—111no—
690#399—111no—
691#399C2×D1111yescharacteristic
692#399C2×D1111yescharacteristic
693#398—111no—
694#398—111no—
695#398—111no—
696#398—111no—
697#398—111no—
698#398—111no—
699#398C2×D1111yescharacteristic, complemented
700#398C2×D1111yescharacteristic, complemented
701#397—111no—
702#397—111no—
703#397—111no—
704#397—111no—
705#397—111no—
706#397—111no—
707#397—111no—
708#397—111no—
709#397—111no—
710#397—111no—
711#397—111no—
712#397C2×D1111yescharacteristic
713#396—111no—
714#396—111no—
715#396—111no—
716#396—111no—
717#396—111no—
718#396—111no—
719#396—111no—
720#396—111no—
721#396—111no—
722#396—111no—
723#396—111no—
724#396C2×D1111yescharacteristic
725#393—111no—
726#393—111no—
727#393—111no—
728#393—111no—
729#391—111no—
730#391—111no—
731#391—111no—
732#391—111no—
733#391—111no—
734#391—111no—
735#389—111no—
736#389—111no—
737#389—111no—
738#389—111no—
739#389—111no—
740#389—111no—
741#389—111no—
742#389—111no—
743#389—111no—
744#389—111no—
745#389—111no—
746#389—111no—
747#389—111no—
748#389C2×D1111yescharacteristic, complemented
749#388—111no—
750#388—111no—
751#388—111no—
752#388—111no—
753#388—111no—
754#388—111no—
755#388—111no—
756#388—111no—
757#388—111no—
758#388—111no—
759#388—111no—
760#388—111no—
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388C2×D1111yescharacteristic
768#388C2×D1111yescharacteristic
769#387—111no—
770#387—111no—
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387—111no—
778#387—111no—
779#387—111no—
780#387—111no—
781#387—111no—
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387C2×D1111yescharacteristic, complemented
787#387C2×D1111yescharacteristic, complemented
788#387C2×D1111yescharacteristic, complemented
789#385—111no—
790#385—111no—
791#385—111no—
792#385—111no—
793#385—111no—
794#385—111no—
795#385—111no—
796#385—111no—
797#385—111no—
798#385—111no—
799#385—111no—
800#385—111no—
801#384C2×D1111yescharacteristic, complemented
802#382—111no—
803#382—111no—
804#382—111no—
805#380—111no—
806#380—111no—
807#380—111no—
808#380—111no—
809#380—111no—
810#380—111no—
811#379—111no—
812#379—111no—
813#379—111no—
814#379—111no—
815C4×C22⋊C4—111no—
816C4×C22⋊C4—111no—
817C4×C22⋊C4—111no—
818C4×C22⋊C4—111no—
819C2×#95—111no—
820C2×#95—111no—
821C22×C11—41no—
822C22×C11—41no—
823C22×C11—41no—
824C22×C11—41no—
825C22×C11—41no—
826C22×C11—41no—
827C22×C11—41no—
828C22×C11C22×#4111yescharacteristic
829C22×C11C2×H(5,𝔽2)11yescharacteristic
830C22×C11C2×H(5,𝔽2)11yescharacteristic
831C22×C11C2×2−1+411yescharacteristic
832C22×C11C2×2−1+411yescharacteristic
833C22×C11#58511yescharacteristic
834C22×C11#58511yescharacteristic
835C2×D11—22no—
836C2×D11—22no—
837C2×D11—22no—
838C2×D11—22no—
839C2×D11—22no—
840C2×D11—22no—
841C2×D11—41no—
842C2×D11—41no—
843C2×D11—41no—
844C2×D11—41no—
845C2×D11—41no—
846C2×D11—41no—
847C2×D11—41no—
848C2×D11—88no—
849C2×D11#54114yes—
850C4×C11—22no—
851C4×C11—22no—
852C4×C11—22no—
853C4×C11—41no—
854C4×C11—41no—
855C4×C11—41no—
856C4×C11—41no—
857C4×C11—41no—
858C4×C11—41no—
859C4×C11—41no—
860C4×C11—41no—
861C4×C11—41no—
862C4×C11—41no—
863C4×C11—41no—
864Dic11—22no—
865Dic11—41no—
866Dic11—41no—
867Dic11—41no—
868Dic11—41no—
869Dic11—41no—
870Dic11—41no—
871Dic11—41no—
872Dic11—41no—
873Dic11—41no—
874Dic11—41no—
875Dic11—41no—
876Dic11—41no—
877Dic11—41no—
878C25—111no—
879C22×Q8—111no—
880C22×Q8—111no—
881C23×C4—111no—
882C23×C4—111no—
883C23×C4—111no—
884C23×C4—111no—
885C23×C4—111no—
886C23×C4—111no—
887C4⋊Q8—442no—
888#126—42no—
889#126—442no—
890#126—442no—
891#126—442no—
892#125—42no—
893#125—442no—
894#125—442no—
895C22⋊Q8—224no—
896C22⋊Q8—224no—
897C2×C4⋊C4—111no—
898C2×C4⋊C4—111no—
899C2×C4⋊C4—111no—
900C2×C4⋊C4—111no—
901C2×C4⋊C4—111no—
902C2×C4⋊C4—111no—
903C2×C4⋊C4—111no—
904C2×C4⋊C4—111no—
905C2×C4⋊C4—111no—
906C2×C4⋊C4—111no—
907C2×C4⋊C4—111no—
908C2×C4⋊C4—111no—
909C2×C4⋊C4—111no—
910C2×C4⋊C4—111no—
911C2×C4⋊C4—111no—
912C2×C4⋊C4—111no—
913C2×C4⋊C4—111no—
914C2×C4⋊C4—111no—
915C2×C4⋊C4—111no—
916C2×C4⋊C4—111no—
917C2×C4⋊C4—111no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
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—442no—
929C2×C4⋊C4C22×D1111yescharacteristic
930C2×C4⋊C4C22×D1111yescharacteristic
931C2×C4⋊C4C22×D1111yescharacteristic
932C2×C4⋊C4C22×D1111yescharacteristic
933C2×C4⋊C4C22×D1111yescharacteristic
934C2×C4⋊C4C22×D1111yescharacteristic
935C2×C4⋊C4C22×D1111yescharacteristic
936C2×C4⋊C4C22×D1111yescharacteristic
937C2×C4⋊C4C22×D1111yescharacteristic
938C2×C4⋊C4C22×D1111yescharacteristic
939C2×C4⋊C4C22×D1111yescharacteristic
940C2×C4⋊C4C22×D1111yescharacteristic
941C2×C4⋊C4C22×D1111yescharacteristic
942C2×C4⋊C4C22×D1111yescharacteristic
943C2×C4⋊C4C22×D1111yescharacteristic
944C2×C22⋊C4—111no—
945C2×C22⋊C4—111no—
946C2×C22⋊C4—111no—
947C2×C22⋊C4—111no—
948C2×C22⋊C4—111no—
949C2×C22⋊C4—111no—
950C2×C22⋊C4—111no—
951C2×C22⋊C4—111no—
952C2×C22⋊C4—111no—
953C2×C22⋊C4—111no—
954C2×C22⋊C4—111no—
955C2×C22⋊C4—111no—
956C2×C22⋊C4—111no—
957C2×C22⋊C4—111no—
958C2×C22⋊C4—111no—
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—224no—
974C2×C22⋊C4—442no—
975C2×C22⋊C4—442no—
976C2×C22⋊C4C22×D1111yescharacteristic
977C2×C22⋊C4C22×D1111yescharacteristic
978C2×C22⋊C4C22×D1111yescharacteristic
979C2×C22⋊C4C22×D1111yescharacteristic
980C2×C22⋊C4C22×D1111yescharacteristic
981C2×C22⋊C4C22×D1111yescharacteristic
982C2×C22⋊C4C22×D1111yescharacteristic
983C2×C42—111no—
984C2×C42—111no—
985C2×C42—111no—
986C2×C42—111no—
987C2×C42—111no—
988C2×C42—111no—
989C2×C42—111no—
990C2×C42—111no—
991C2×C42—111no—
992C2×C42—442no—
993C2×C42C22×D1111yescharacteristic
994C2×C42C22×D1111yescharacteristic
995C2×C42C22×D1111yescharacteristic
996#95—111no—
997#95—111no—
998#95—111no—
999#95—111no—
1000#95—111no—
1001#95—111no—
1002#95—111no—
1003#95—111no—
1004#95—111no—
1005#95—111no—
1006#95—111no—
1007#95—111no—
1008#95—111no—
1009#95—111no—
1010#95—111no—
1011#95—111no—
1012#95—111no—
1013#95—111no—
1014#95—111no—
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#95C22×D1111yescharacteristic
1039#95C22×D1111yescharacteristic
1040#95C22×D1111yescharacteristic
1041#95C22×D1111yescharacteristic
1042#95C22×D1111yescharacteristic
1043#95C22×D1111yescharacteristic
1044#95C22×D1111yescharacteristic
1045#95C22×D1111yescharacteristic
1046#95C22×D1111yescharacteristic
1047#95C22×D1111yescharacteristic
1048C2×C11—81no—
1049C2×C11C2×#54111yescharacteristic
1050C2×C11#350511yescharacteristic
1051C2×C11#350611yescharacteristic
1052C2×C11#353511yescharacteristic
1053C2×C11#353611yescharacteristic
1054C2×C11#356111yescharacteristic
1055C2×C11#356411yescharacteristic
1056D11—24no—
1057D11—81no—
1058C24—111no—
1059C24—111no—
1060C24—222no—
1061C24—222no—
1062C24—222no—
1063C24—441no—
1064C24—441no—
1065C24—441no—
1066C24—441no—
1067C24C23×D1111yescharacteristic
1068C2×Q8—222no—
1069C2×Q8—222no—
1070C2×Q8—441no—
1071C2×Q8—441no—
1072C2×Q8—441no—
1073C2×Q8—441no—
1074C22×C4—111no—
1075C22×C4—114no—
1076C22×C4—111no—
1077C22×C4—111no—
1078C22×C4—111no—
1079C22×C4—111no—
1080C22×C4—111no—
1081C22×C4—111no—
1082C22×C4—111no—
1083C22×C4—111no—
1084C22×C4—111no—
1085C22×C4—111no—
1086C22×C4—111no—
1087C22×C4—111no—
1088C22×C4—111no—
1089C22×C4—222no—
1090C22×C4—222no—
1091C22×C4—222no—
1092C22×C4—222no—
1093C22×C4—222no—
1094C22×C4—222no—
1095C22×C4—222no—
1096C22×C4—441no—
1097C22×C4—441no—
1098C22×C4—441no—
1099C22×C4—441no—
1100C22×C4—441no—
1101C22×C4—441no—
1102C22×C4—441no—
1103C22×C4—441no—
1104C22×C4—441no—
1105C22×C4—441no—
1106C22×C4C23×D1111yescharacteristic
1107C22×C4C23×D1111yescharacteristic
1108C22×C4C23×D1111yescharacteristic
1109C22×C4C23×D1111yescharacteristic
1110C22×C4C23×D1111yescharacteristic
1111C22×C4C23×D1111yescharacteristic
1112C22×C4C23×D1111yescharacteristic
1113C22×C4C23×D1111yescharacteristic
1114C22×C4C23×D1111yescharacteristic
1115C22×C4C23×D1111yescharacteristic
1116C22×C4C23×D1111yescharacteristic
1117C22×C4C23×D1111yescharacteristic
1118C22×C4C23×D1111yescharacteristic
1119C22×C4C23×D1111yescharacteristic
1120C4⋊C4—22no—
1121C4⋊C4—22no—
1122C4⋊C4—22no—
1123C4⋊C4—22no—
1124C4⋊C4—22no—
1125C4⋊C4—22no—
1126C4⋊C4—22no—
1127C4⋊C4—41no—
1128C4⋊C4—41no—
1129C4⋊C4—41no—
1130C4⋊C4—41no—
1131C4⋊C4—41no—
1132C4⋊C4—41no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—222no—
1136C4⋊C4—222no—
1137C4⋊C4—222no—
1138C4⋊C4—222no—
1139C4⋊C4—222no—
1140C4⋊C4—222no—
1141C4⋊C4—222no—
1142C4⋊C4—222no—
1143C4⋊C4—222no—
1144C4⋊C4—441no—
1145C4⋊C4—441no—
1146C4⋊C4—441no—
1147C4⋊C4—441no—
1148C4⋊C4—441no—
1149C4⋊C4—441no—
1150C4⋊C4—441no—
1151C4⋊C4—441no—
1152C4⋊C4—441no—
1153C4⋊C4—441no—
1154C4⋊C4—441no—
1155C4⋊C4—441no—
1156C4⋊C4—441no—
1157C4⋊C4—441no—
1158C4⋊C4—441no—
1159C4⋊C4—441no—
1160C4⋊C4—441no—
1161C4⋊C4—441no—
1162C4⋊C4—441no—
1163C4⋊C4—441no—
1164C4⋊C4—441no—
1165C4⋊C4—441no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—41no—
1173C22⋊C4—222no—
1174C22⋊C4—222no—
1175C22⋊C4—222no—
1176C22⋊C4—222no—
1177C22⋊C4—222no—
1178C22⋊C4—222no—
1179C22⋊C4—222no—
1180C22⋊C4—222no—
1181C22⋊C4—222no—
1182C22⋊C4—222no—
1183C22⋊C4—222no—
1184C22⋊C4—222no—
1185C22⋊C4—222no—
1186C22⋊C4—441no—
1187C22⋊C4—441no—
1188C22⋊C4—441no—
1189C22⋊C4—441no—
1190C22⋊C4—441no—
1191C22⋊C4—441no—
1192C22⋊C4—441no—
1193C22⋊C4—441no—
1194C22⋊C4—441no—
1195C22⋊C4—441no—
1196C22⋊C4—441no—
1197C22⋊C4—441no—
1198C22⋊C4—441no—
1199C22⋊C4—441no—
1200C22⋊C4—441no—
1201C22⋊C4—441no—
1202C42—22no—
1203C42—41no—
1204C42—41no—
1205C42—222no—
1206C42—441no—
1207C42—441no—
1208C42—441no—
1209C42—441no—
1210C42—441no—
1211C42—441no—
1212C42—441no—
1213C42—441no—
1214C11#3676011yescharacteristic, complemented, Sylow
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—112no—
1223C23—112no—
1224C23—112no—
1225C23—221no—
1226C23—221no—
1227C23—221no—
1228C23—221no—
1229C23—221no—
1230C23—221no—
1231C23—221no—
1232C23—221no—
1233C23—221no—
1234C23—221no—
1235C23—221no—
1236C23—444no—
1237C23—444no—
1238C23—444no—
1239C23—882no—
1240C23—882no—
1241C23—882no—
1242C23—882no—
1243C23C24×D1111yescharacteristic
1244Q8—882no—
1245Q8—882no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
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—112no—
1286C2×C4—221no—
1287C2×C4—221no—
1288C2×C4—221no—
1289C2×C4—221no—
1290C2×C4—221no—
1291C2×C4—221no—
1292C2×C4—221no—
1293C2×C4—221no—
1294C2×C4—221no—
1295C2×C4—221no—
1296C2×C4—221no—
1297C2×C4—221no—
1298C2×C4—221no—
1299C2×C4—221no—
1300C2×C4—221no—
1301C2×C4—221no—
1302C2×C4—221no—
1303C2×C4—221no—
1304C2×C4—221no—
1305C2×C4—221no—
1306C2×C4—221no—
1307C2×C4—221no—
1308C2×C4—221no—
1309C2×C4—221no—
1310C2×C4—221no—
1311C2×C4—221no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
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—444no—
1328C2×C4—444no—
1329C2×C4—444no—
1330C2×C4—444no—
1331C2×C4—882no—
1332C2×C4—882no—
1333C2×C4#6703712yes—
1334C2×C4#41×D1112yes—
1335C2×C4#6704212yes—
1336C22—41no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—114no—
1344C22—222no—
1345C22—222no—
1346C22—222no—
1347C22—222no—
1348C22—222no—
1349C22—222no—
1350C22—441no—
1351C22—441no—
1352C22—441no—
1353C22—441no—
1354C22—441no—
1355C22—441no—
1356C22—441no—
1357C22—888no—
1358C22C2×#6703711yescharacteristic
1359C22C2×#41×D1111yescharacteristic
1360C22C2×#6704211yescharacteristic
1361C22#1062345511yescharacteristic
1362C22D11×2−1+411yescharacteristic
1363C22D11×2−1+411yescharacteristic
1364C22#1062345711yescharacteristic
1365C4—22no—
1366C4—22no—
1367C4—22no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—222no—
1380C4—441no—
1381C4—441no—
1382C4—441no—
1383C4—441no—
1384C4—441no—
1385C4—441no—
1386C4—441no—
1387C4—441no—
1388C4—441no—
1389C4—441no—
1390C4—441no—
1391C4—441no—
1392C4—441no—
1393C2—81no—
1394C2—224no—
1395C2—881no—
1396C2D11×#54111yescharacteristic
1397C2#1308245611yescharacteristic
1398C2#1308246011yescharacteristic
1399C2#1308282311yescharacteristic
1400C2#1308283911yescharacteristic
1401C2#1308317711yescharacteristic
1402C2#1308323811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2721C2
prime radicalC24×D11C23
hypercenter#2721D11
hypocenterC11#36760
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2721

Complements

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

NH ≅ G/Ntype
1. #13076969C2semidirect
2. #13076923C2semidirect
3. #13076483C2semidirect
4. #13076481C2semidirect
5. #13076309C2semidirect
6. #13076302C2semidirect
7. #13076150C2semidirect
8. #13076142C2semidirect
9. #13075903C2semidirect
10. #13075901C2semidirect
11. #13075562C2semidirect
12. #13075554C2semidirect
13. #13075552C2semidirect
14. #13075550C2semidirect
15. #13075506C2semidirect
16. #13075445C2semidirect
17. #13075443C2semidirect
20. #13073122C2semidirect
21. #13073118C2semidirect
26. #13072758C2semidirect
27. #13072753C2semidirect
28. #13071345C2semidirect
29. #13071345C2semidirect
31. C11×#2721C2semidirect
33. C2×C11×#125C22semidirect
39. C2×#66942C22semidirect
40. C2×#66942C22semidirect
46. C2×#66922C22semidirect
49. C11×#398C22semidirect
50. C11×#398C22semidirect
53. C11×#389C22semidirect
56. C11×#387C22semidirect
57. C11×#387C22semidirect
58. C11×#387C22semidirect
59. C11×#384C22semidirect
85. #10622599C22semidirect
86. #10622599C22semidirect
87. #10622599C22semidirect
88. #10622598C22semidirect
89. #10622598C22semidirect
90. #10622598C22semidirect
91. #10622598C22semidirect
92. #10622598C22semidirect
93. #10622597C22semidirect
94. #10622597C22semidirect
95. #10622597C22semidirect
96. #10622596C22semidirect
97. #10622595C22semidirect
98. #10622595C22semidirect
99. #10622594C22semidirect
100. #10622594C22semidirect
101. #10622594C22semidirect
102. #10622594C22semidirect
103. #10622593C22semidirect
104. #10622591C22semidirect
105. #10622590C22semidirect
106. #10622587C22semidirect
107. #10622587C22semidirect
108. #10622586C22semidirect
109. #10622586C22semidirect
110. #10622585C22semidirect
111. #10622585C22semidirect
112. #10622585C22semidirect
142. #10622546C22semidirect
143. #10622546C22semidirect
144. #10622546C22semidirect
145. #10622541C22semidirect
146. #10622541C22semidirect
167. #10622273C22semidirect
168. #10622272C22semidirect
169. #10622271C22semidirect
170. #10622270C22semidirect
171. #10622268C22semidirect
172. #10622268C22semidirect
173. #10622267C22semidirect
174. #10622267C22semidirect
175. #10622267C22semidirect
176. #10622267C22semidirect
177. #10622266C22semidirect
178. #10622266C22semidirect
179. #10622266C22semidirect
180. #10622263C22semidirect
181. #10622263C22semidirect
182. #10622260C22semidirect
183. #10622259C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
529. #2721D11semidirect
673. C2×#125C2×D11semidirect
699. #398C2×D11semidirect
700. #398C2×D11semidirect
748. #389C2×D11semidirect
786. #387C2×D11semidirect
787. #387C2×D11semidirect
788. #387C2×D11semidirect
801. #384C2×D11semidirect
1214. C11#36760semidirect

Maximal subgroups

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

subgroupindex
#130769692
#130769232
#130764832
#130764812
#130763092
#130763022
#130761502
#130761422
#130759032
#130759012
#130755622
#130755542
#130755522
#130755502
#130755062
#130754452
#130754432
#130744222
#130731222
#130731182
#130728652
#130728632
#130728602
#130728582
#130727582
#130727532
#130713452
D11×#3882
C11×#27212
#3676011