Finite Group Databasebeta

← #14960989

Subgroups — #14960989

Order 2816.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076902C211yesmaximal, characteristic
2#13076900C211yesmaximal, characteristic
3#13075772C211yesmaximal, characteristic, complemented
4#13075769C211yesmaximal, characteristic, complemented
5#13075768C211yesmaximal, characteristic, complemented
6#13075765C211yesmaximal, characteristic, complemented
7#13075706C211yesmaximal, characteristic, complemented
8#13075705C211yesmaximal, characteristic, complemented
9#13075701C211yesmaximal, characteristic, complemented
10#13075694C211yesmaximal, characteristic, complemented
11#13075197C211yesmaximal, characteristic, complemented
12#13075196C211yesmaximal, characteristic, complemented
13#13075193C211yesmaximal, characteristic, complemented
14#13075184C211yesmaximal, characteristic, complemented
15#13075068C211yesmaximal, characteristic, complemented
16#13075064C211yesmaximal, characteristic, complemented
17#13075063C211yesmaximal, characteristic, complemented
18#13074729C211yesmaximal, characteristic, complemented
19#13074585C211yesmaximal, characteristic, complemented
20#13073122C211yesmaximal, characteristic, complemented
21#13073122C211yesmaximal, characteristic, complemented
22#13073120C211yesmaximal, characteristic, complemented
23#13073112C211yesmaximal, characteristic, complemented
24#13072866C211yesmaximal, characteristic
25#13072863C211yesmaximal, characteristic
26#13072858C211yesmaximal, characteristic
27#13072857C211yesmaximal, characteristic
28#13071348C211yesmaximal, characteristic, complemented
29#13071343C211yesmaximal, characteristic, complemented
30D11×#381C211yesmaximal, characteristic
31C11×#2689C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C2×C11×C22⋊Q8C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×#66999C2211yescharacteristic
37C2×#66951C2211yescharacteristic
38C2×#66949C2211yescharacteristic
39C2×#66949C2211yescharacteristic
40C2×C22⋊C4×D11C2211yescharacteristic
41C2×C22⋊C4×D11C2211yescharacteristic
42C2×#66932C2211yescharacteristic
43C2×#66931C2211yescharacteristic
44C2×#66929C2211yescharacteristic
45C11×#400C2211yescharacteristic, complemented
46C11×#400C2211yescharacteristic, complemented
47C11×#398C2211yescharacteristic, complemented
48C11×#397C2211yescharacteristic
49C11×#397C2211yescharacteristic
50C11×#395C2211yescharacteristic, complemented
51C11×#391C2211yescharacteristic, complemented
52C11×#389C2211yescharacteristic, complemented
53C11×#389C2211yescharacteristic, complemented
54C11×#388C2211yescharacteristic
55C11×#387C2211yescharacteristic, complemented
56C11×#385C2211yescharacteristic
57C11×#381C2211yescharacteristic
58#10622843C2211yescharacteristic, complemented
59#10622842C2211yescharacteristic, complemented
60#10622825C2211yescharacteristic
61#10622824C2211yescharacteristic
62#10622823C2211yescharacteristic
63#10622607C2211yescharacteristic
64#10622606C2211yescharacteristic
65#10622606C2211yescharacteristic
66#10622603C2211yescharacteristic
67#10622603C2211yescharacteristic
68#10622602C2211yescharacteristic
69#10622602C2211yescharacteristic
70#10622602C2211yescharacteristic
71#10622602C2211yescharacteristic
72#10622602C2211yescharacteristic
73#10622602C2211yescharacteristic
74#10622602C2211yescharacteristic
75#10622602C2211yescharacteristic
76#10622602C2211yescharacteristic
77#10622602C2211yescharacteristic
78#10622600C2211yescharacteristic
79#10622600C2211yescharacteristic
80#10622600C2211yescharacteristic
81#10622600C2211yescharacteristic
82#10622599C2211yescharacteristic, complemented
83#10622599C2211yescharacteristic, complemented
84#10622599C2211yescharacteristic, complemented
85#10622599C2211yescharacteristic, complemented
86#10622598C2211yescharacteristic, complemented
87#10622597C2211yescharacteristic, complemented
88#10622597C2211yescharacteristic, complemented
89#10622597C2211yescharacteristic, complemented
90#10622596C2211yescharacteristic, complemented
91#10622596C2211yescharacteristic, complemented
92#10622596C2211yescharacteristic, complemented
93#10622595C2211yescharacteristic, complemented
94#10622595C2211yescharacteristic, complemented
95#10622595C2211yescharacteristic, complemented
96#10622593C2211yescharacteristic, complemented
97#10622592C2211yescharacteristic, complemented
98#10622592C2211yescharacteristic, complemented
99#10622591C2211yescharacteristic, complemented
100#10622590C2211yescharacteristic, complemented
101#10622586C2211yescharacteristic, complemented
102#10622585C2211yescharacteristic, complemented
103#10622585C2211yescharacteristic, complemented
104#10622568C2211yescharacteristic
105#10622568C2211yescharacteristic
106#10622568C2211yescharacteristic
107#10622568C2211yescharacteristic
108#10622565C2211yescharacteristic
109#10622565C2211yescharacteristic
110#10622565C2211yescharacteristic
111#10622565C2211yescharacteristic
112#10622564C2211yescharacteristic
113#10622564C2211yescharacteristic
114#10622564C2211yescharacteristic
115#10622561C2211yescharacteristic
116#10622561C2211yescharacteristic
117#10622559C2211yescharacteristic
118#10622559C2211yescharacteristic
119#10622558C2211yescharacteristic
120#10622558C2211yescharacteristic
121#10622556C2211yescharacteristic
122#10622556C2211yescharacteristic
123#10622555C2211yescharacteristic
124#10622553C2211yescharacteristic
125C4×(C2×D11)⋊C4C2211yescharacteristic
126C4×(C2×D11)⋊C4C2211yescharacteristic
127#10622546C2211yescharacteristic, complemented
128#10622546C2211yescharacteristic, complemented
129#10622546C2211yescharacteristic, complemented
130#10622542C2211yescharacteristic, complemented
131#10622289C2211yescharacteristic
132#10622288C2211yescharacteristic
133#10622288C2211yescharacteristic
134#10622287C2211yescharacteristic
135#10622287C2211yescharacteristic
136#10622283C2211yescharacteristic
137#10622283C2211yescharacteristic
138#10622282C2211yescharacteristic
139#10622281C2211yescharacteristic
140#10622281C2211yescharacteristic
141#10622281C2211yescharacteristic
142#10622281C2211yescharacteristic
143#10622281C2211yescharacteristic
144#10622281C2211yescharacteristic
145#10622280C2211yescharacteristic
146#10622280C2211yescharacteristic
147#10622280C2211yescharacteristic
148#10622280C2211yescharacteristic
149#10622279C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622277C2211yescharacteristic
152#10622277C2211yescharacteristic
153#10622277C2211yescharacteristic
154#10622277C2211yescharacteristic
155D11×#95C2211yescharacteristic
156D11×#95C2211yescharacteristic
157D11×#95C2211yescharacteristic
158D11×#95C2211yescharacteristic
159#10622274C2211yescharacteristic, complemented
160#10622273C2211yescharacteristic, complemented
161#10622273C2211yescharacteristic, complemented
162#10622273C2211yescharacteristic, complemented
163#10622271C2211yescharacteristic, complemented
164#10622271C2211yescharacteristic, complemented
165#10622271C2211yescharacteristic, complemented
166#10622271C2211yescharacteristic, complemented
167#10622270C2211yescharacteristic, complemented
168#10622270C2211yescharacteristic, complemented
169#10622270C2211yescharacteristic, complemented
170#10622268C2211yescharacteristic, complemented
171#10622268C2211yescharacteristic, complemented
172#10622268C2211yescharacteristic, complemented
173#10622267C2211yescharacteristic, complemented
174#10622266C2211yescharacteristic, complemented
175#10622266C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622263C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×Dic11C2311yescharacteristic
191C22×C4×D11—24no—
192C22×C4×D11—42no—
193C22×C4×D11—42no—
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C11×#126—42no—
204C11×C22⋊Q8—42no—
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×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊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
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230#66999—24no—
231#66999—42no—
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×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
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×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
289#66951—42no—
290#66949—24no—
291#66949—42no—
292C22⋊C4×D11—42no—
293C22⋊C4×D11—42no—
294#66932—42no—
295#66931—42no—
296#66929—42no—
297C11×#95C2311yescharacteristic
298C11×#95C2311yescharacteristic
299C11×#95C2311yescharacteristic
300C11×#95C2311yescharacteristic
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
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#36732—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C23×D11—22no—
360C23×D11—22no—
361C23×D11—22no—
362C23×D11—22no—
363C23×D11—22no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C2×Q8×C11—22no—
369C2×Q8×C11—41no—
370C2×Q8×C11—41no—
371C22×C4×C11—22no—
372C22×C4×C11—22no—
373C22×C4×C11—41no—
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×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×Dic11—22no—
389C22×Dic11—22no—
390C22×Dic11—41no—
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C2×C4×D11—22no—
406C2×C4×D11—22no—
407C2×C4×D11—22no—
408C2×C4×D11—22no—
409C2×C4×D11—22no—
410C2×C4×D11—22no—
411C2×C4×D11—22no—
412C2×C4×D11—22no—
413C2×C4×D11—22no—
414C2×C4×D11—41no—
415C2×C4×D11—41no—
416C2×C4×D11—41no—
417C2×C4×D11—41no—
418C2×C4×D11—41no—
419C2×C4×D11—41no—
420C2×C4×D11—41no—
421C2×C4×D11—41no—
422C2×C4×D11—41no—
423C2×C4×D11—41no—
424C2×C4×D11—41no—
425C2×C4×D11—41no—
426C2×C4×D11—41no—
427C2×C4×D11—41no—
428C2×C4×D11—416no—
429C2×C4×D11#4114yes—
430C2×Dic22—22no—
431C2×Dic22—41no—
432C2×Dic22—41no—
433C11×C4⋊C4—22no—
434C11×C4⋊C4—41no—
435C11×C4⋊C4—41no—
436C11×C4⋊C4—41no—
437C11×C4⋊C4—41no—
438C11×C4⋊C4—41no—
439C11×C4⋊C4—41no—
440C11×C4⋊C4—41no—
441C11×C4⋊C4—41no—
442C11×C4⋊C4—41no—
443C11×C4⋊C4—41no—
444C11×C22⋊C4—22no—
445C11×C22⋊C4—22no—
446C11×C22⋊C4—22no—
447C11×C22⋊C4—22no—
448C11×C22⋊C4—41no—
449C11×C22⋊C4—41no—
450C42×C11—41no—
451C42×C11—41no—
452C22⋊Dic11—22no—
453C22⋊Dic11—22no—
454C22⋊Dic11—41no—
455C22⋊Dic11—41no—
456C22⋊Dic11—41no—
457C22⋊Dic11—41no—
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—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—41no—
473(C2×D11)⋊C4—41no—
474(C2×D11)⋊C4—41no—
475(C2×D11)⋊C4—41no—
476(C2×D11)⋊C4—41no—
477(C2×D11)⋊C4—41no—
478C4⋊Dic11—22no—
479C4⋊Dic11—41no—
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—22no—
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—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509C4×Dic11—41no—
510C4×Dic11—41no—
511C4×Dic11—41no—
512C4×Dic11—41no—
513C4×Dic11—41no—
514C4×Dic11—41no—
515#2848—111no—
516#2848—111no—
517#2744—111no—
518#2744—111no—
519#2744—111no—
520#2744—111no—
521#2739—111no—
522#2739—111no—
523#2739—111no—
524#2739—111no—
525#2698—111no—
526#2698—111no—
527#2698—111no—
528#2698—111no—
529#2689—111no—
530#2689—111no—
531#2689—111no—
532#2689D1111yescharacteristic, complemented
533#2659—111no—
534#2646—111no—
535#2505—111no—
536#2505—111no—
537#2505—111no—
538#2505—111no—
539#2480—111no—
540#2480—111no—
541#2480—111no—
542#2480—111no—
543#2329—111no—
544#2329—111no—
545C2×#381—111no—
546C23×C11—21no—
547C23×C11—21no—
548C23×C11—21no—
549C23×C11—21no—
550C23×C11—21no—
551C23×C11—21no—
552C23×C11H(5,𝔽2)12yes—
553C23×C11C2511yescharacteristic
554C22×D11—21no—
555C22×D11—21no—
556C22×D11—21no—
557C22×D11—21no—
558C22×D11—28no—
559C22×D11—21no—
560C22×D11—21no—
561C22×D11—21no—
562C22×D11—21no—
563C22×D11—21no—
564C22×D11—21no—
565C22×D11—44no—
566C22×D11—44no—
567C22×D11—44no—
568C22×D11—44no—
569C22×D11—44no—
570C22×D11—44no—
571C22×D11C2×#4112yes—
572C22×D11H(5,𝔽2)12yes—
573C22×D112−1+412yes—
574C22×D112−1+412yes—
575Q8×C11—82no—
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×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—44no—
618C2×C4×C11C2×#4112yes—
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×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—44no—
661C2×Dic11C2×#4112yes—
662C4×D11—44no—
663C4×D11—44no—
664C4×D11—44no—
665C4×D11—44no—
666C4×D11—82no—
667C4×D11—82no—
668C4×D11—82no—
669C4×D11—82no—
670Dic22—82no—
671C24×C4—111no—
672C2×#126—111no—
673C2×#126—111no—
674C2×#126—111no—
675C2×#126C2×D1111yescharacteristic
676C2×C22⋊Q8—111no—
677C2×C22⋊Q8—111no—
678C2×C22⋊Q8—111no—
679C2×C22⋊Q8—111no—
680C2×C22⋊Q8—111no—
681C2×C22⋊Q8C2×D1111yescharacteristic
682C22×C22⋊C4—111no—
683C22×C22⋊C4—111no—
684#400—111no—
685#400—111no—
686#400—111no—
687#400—111no—
688#400—111no—
689#400—111no—
690#400—111no—
691#400—111no—
692#400—111no—
693#400—111no—
694#400—111no—
695#400—111no—
696#400—111no—
697#400—111no—
698#400C2×D1111yescharacteristic, complemented
699#400C2×D1111yescharacteristic, complemented
700#398—111no—
701#398—111no—
702#398—111no—
703#398—111no—
704#398—111no—
705#398—111no—
706#398—111no—
707#398—111no—
708#398—111no—
709#398—111no—
710#398—111no—
711#398C2×D1111yescharacteristic, complemented
712#397—111no—
713#397—111no—
714#397—111no—
715#397—111no—
716#397—111no—
717#397—111no—
718#397—111no—
719#397—111no—
720#397—111no—
721#397—111no—
722#397C2×D1111yescharacteristic
723#397C2×D1111yescharacteristic
724#396—111no—
725#396—111no—
726#396—111no—
727#396—111no—
728#395—111no—
729#395—111no—
730#395—111no—
731#395C2×D1111yescharacteristic, complemented
732#391—111no—
733#391—111no—
734#391—111no—
735#391C2×D1111yescharacteristic, complemented
736#389—111no—
737#389—111no—
738#389—111no—
739#389—111no—
740#389—111no—
741#389—111no—
742#389C2×D1111yescharacteristic, complemented
743#389C2×D1111yescharacteristic, complemented
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#388—111no—
755#388C2×D1111yescharacteristic
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, complemented
772#385—111no—
773#385—111no—
774#385—111no—
775#385—111no—
776#385—111no—
777#385—111no—
778#385—111no—
779#385—111no—
780#385—111no—
781#385—111no—
782#385—111no—
783#385—111no—
784#385—111no—
785#385—111no—
786#385—111no—
787#385—111no—
788#385—111no—
789#385—111no—
790#385—111no—
791#385C2×D1111yescharacteristic
792#382—111no—
793#382—111no—
794#382—111no—
795#382—111no—
796#381—111no—
797#381—111no—
798#381—111no—
799#381—111no—
800#381—111no—
801#381—111no—
802#381—111no—
803#381C2×D1111yescharacteristic
804#380—111no—
805#380—111no—
806#380—111no—
807#380—111no—
808#380—111no—
809#380—111no—
810#380—111no—
811#380—111no—
812#380—111no—
813#380—111no—
814#379—111no—
815#379—111no—
816#379—111no—
817#379—111no—
818C4×C22⋊C4—111no—
819C4×C22⋊C4—111no—
820C4×C22⋊C4—111no—
821C4×C22⋊C4—111no—
822C2×#95—111no—
823C2×#95—111no—
824C2×#95—111no—
825C2×#95—111no—
826C22×C11—22no—
827C22×C11—22no—
828C22×C11—22no—
829C22×C11—41no—
830C22×C11—41no—
831C22×C11—41no—
832C22×C11—41no—
833C22×C11C22×#4111yescharacteristic
834C22×C11C2×H(5,𝔽2)11yescharacteristic
835C22×C11C2×H(5,𝔽2)11yescharacteristic
836C22×C11C2×2−1+411yescharacteristic
837C22×C11C2×2−1+411yescharacteristic
838C22×C11#58511yescharacteristic
839C22×C11#58511yescharacteristic
840C2×D11—22no—
841C2×D11—22no—
842C2×D11—22no—
843C2×D11—22no—
844C2×D11—22no—
845C2×D11—22no—
846C2×D11—22no—
847C2×D11—22no—
848C2×D11—22no—
849C2×D11—416no—
850C2×D11—41no—
851C2×D11—41no—
852C2×D11—41no—
853C2×D11—41no—
854C2×D11#54114yes—
855C4×C11—22no—
856C4×C11—41no—
857C4×C11—41no—
858C4×C11—41no—
859C4×C11—41no—
860C4×C11—41no—
861C4×C11—41no—
862C4×C11—41no—
863C4×C11—41no—
864C4×C11—41no—
865C4×C11—41no—
866C4×C11—41no—
867C4×C11—41no—
868C4×C11—41no—
869Dic11—22no—
870Dic11—41no—
871Dic11—41no—
872Dic11—41no—
873Dic11—41no—
874Dic11—41no—
875Dic11—41no—
876Dic11—41no—
877Dic11—41no—
878Dic11—41no—
879Dic11—41no—
880Dic11—41no—
881Dic11—41no—
882Dic11—41no—
883C25—111no—
884C22×Q8—111no—
885C22×Q8C22×D1111yescharacteristic
886C23×C4—111no—
887C23×C4—111no—
888C23×C4—111no—
889C23×C4—111no—
890C23×C4—111no—
891C23×C4—111no—
892C23×C4—111no—
893C23×C4—111no—
894C23×C4—111no—
895C23×C4—224no—
896C23×C4—442no—
897C23×C4—442no—
898C23×C4C22×D1111yescharacteristic
899#126—42no—
900#126—442no—
901#126—442no—
902#126—442no—
903C22⋊Q8—42no—
904C22⋊Q8—224no—
905C22⋊Q8—224no—
906C22⋊Q8—442no—
907C22⋊Q8—442no—
908C22⋊Q8—442no—
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—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⋊C4C22×D1111yescharacteristic
941C2×C4⋊C4C22×D1111yescharacteristic
942C2×C4⋊C4C22×D1111yescharacteristic
943C2×C4⋊C4C22×D1111yescharacteristic
944C2×C4⋊C4C22×D1111yescharacteristic
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×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—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4—442no—
978C2×C22⋊C4—442no—
979C2×C22⋊C4C22×D1111yescharacteristic
980C2×C22⋊C4C22×D1111yescharacteristic
981C2×C22⋊C4C22×D1111yescharacteristic
982C2×C22⋊C4C22×D1111yescharacteristic
983C2×C22⋊C4C22×D1111yescharacteristic
984C2×C22⋊C4C22×D1111yescharacteristic
985C2×C42—111no—
986C2×C42—111no—
987C2×C42—111no—
988C2×C42—111no—
989C2×C42—111no—
990C2×C42—111no—
991C2×C42C22×D1111yescharacteristic
992C2×C42C22×D1111yescharacteristic
993#95—111no—
994#95—111no—
995#95—111no—
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#95—111no—
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
1048#95C22×D1111yescharacteristic
1049#95C22×D1111yescharacteristic
1050#95C22×D1111yescharacteristic
1051#95C22×D1111yescharacteristic
1052#95C22×D1111yescharacteristic
1053C2×C11—42no—
1054C2×C11C2×#54111yescharacteristic
1055C2×C11#349011yescharacteristic
1056C2×C11#349311yescharacteristic
1057C2×C11#353511yescharacteristic
1058C2×C11#353511yescharacteristic
1059C2×C11#353511yescharacteristic
1060C2×C11#353511yescharacteristic
1061D11—24no—
1062D11—42no—
1063C24—111no—
1064C24—111no—
1065C24—222no—
1066C24—222no—
1067C24—222no—
1068C24—222no—
1069C24—222no—
1070C24—441no—
1071C24—441no—
1072C24C23×D1111yescharacteristic
1073C2×Q8—22no—
1074C2×Q8—41no—
1075C2×Q8—41no—
1076C2×Q8—222no—
1077C2×Q8—441no—
1078C2×Q8—441no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—41no—
1082C22×C4—111no—
1083C22×C4—114no—
1084C22×C4—111no—
1085C22×C4—111no—
1086C22×C4—111no—
1087C22×C4—111no—
1088C22×C4—111no—
1089C22×C4—111no—
1090C22×C4—111no—
1091C22×C4—111no—
1092C22×C4—111no—
1093C22×C4—111no—
1094C22×C4—111no—
1095C22×C4—111no—
1096C22×C4—111no—
1097C22×C4—222no—
1098C22×C4—222no—
1099C22×C4—222no—
1100C22×C4—222no—
1101C22×C4—222no—
1102C22×C4—222no—
1103C22×C4—222no—
1104C22×C4—222no—
1105C22×C4—222no—
1106C22×C4—222no—
1107C22×C4—222no—
1108C22×C4—441no—
1109C22×C4—441no—
1110C22×C4—441no—
1111C22×C4—441no—
1112C22×C4—441no—
1113C22×C4—441no—
1114C22×C4—441no—
1115C22×C4—441no—
1116C22×C4—441no—
1117C22×C4—441no—
1118C22×C4—441no—
1119C22×C4—441no—
1120C22×C4—441no—
1121C22×C4—441no—
1122C22×C4—4416no—
1123C22×C4—441no—
1124C22×C4C23×D1111yescharacteristic
1125C22×C4C23×D1111yescharacteristic
1126C22×C4C23×D1111yescharacteristic
1127C22×C4C23×D1111yescharacteristic
1128C22×C4C23×D1111yescharacteristic
1129C22×C4C23×D1111yescharacteristic
1130C22×C4C23×D1111yescharacteristic
1131C22×C4C23×D1111yescharacteristic
1132C22×C4C23×D1111yescharacteristic
1133C22×C4C23×D1111yescharacteristic
1134C22×C4C23×D1111yescharacteristic
1135C22×C4C23×D1111yescharacteristic
1136C22×C4C23×D1111yescharacteristic
1137C22×C4C23×D1111yescharacteristic
1138C4⋊C4—22no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—222no—
1150C4⋊C4—222no—
1151C4⋊C4—222no—
1152C4⋊C4—222no—
1153C4⋊C4—222no—
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—
1166C4⋊C4—441no—
1167C4⋊C4—441no—
1168C4⋊C4—441no—
1169C4⋊C4—441no—
1170C4⋊C4—441no—
1171C4⋊C4—441no—
1172C4⋊C4—441no—
1173C4⋊C4—441no—
1174C4⋊C4—441no—
1175C4⋊C4—441no—
1176C4⋊C4—441no—
1177C4⋊C4—441no—
1178C4⋊C4—441no—
1179C4⋊C4—441no—
1180C22⋊C4—22no—
1181C22⋊C4—22no—
1182C22⋊C4—22no—
1183C22⋊C4—22no—
1184C22⋊C4—41no—
1185C22⋊C4—41no—
1186C22⋊C4—222no—
1187C22⋊C4—222no—
1188C22⋊C4—222no—
1189C22⋊C4—222no—
1190C22⋊C4—222no—
1191C22⋊C4—222no—
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—441no—
1203C22⋊C4—441no—
1204C22⋊C4—441no—
1205C22⋊C4—441no—
1206C22⋊C4—441no—
1207C22⋊C4—441no—
1208C22⋊C4—441no—
1209C22⋊C4—441no—
1210C22⋊C4—441no—
1211C22⋊C4—441no—
1212C42—41no—
1213C42—41no—
1214C42—441no—
1215C42—441no—
1216C42—441no—
1217C42—441no—
1218C42—441no—
1219C42—441no—
1220C11#3673211yescharacteristic, complemented, Sylow
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—112no—
1228C23—112no—
1229C23—112no—
1230C23—112no—
1231C23—228no—
1232C23—221no—
1233C23—221no—
1234C23—221no—
1235C23—221no—
1236C23—221no—
1237C23—221no—
1238C23—221no—
1239C23—221no—
1240C23—221no—
1241C23—221no—
1242C23—444no—
1243C23—444no—
1244C23—444no—
1245C23—444no—
1246C23—444no—
1247C23—444no—
1248C23#6703712yes—
1249C23C24×D1111yescharacteristic
1250Q8—82no—
1251Q8—882no—
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—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—44no—
1294C2×C4—112no—
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—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—444no—
1337C2×C4—444no—
1338C2×C4—444no—
1339C2×C4—444no—
1340C2×C4—444no—
1341C2×C4—882no—
1342C2×C4—882no—
1343C2×C4—882no—
1344C2×C4—882no—
1345C2×C4#41×D1112yes—
1346C22—22no—
1347C22—22no—
1348C22—22no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—114no—
1354C22—222no—
1355C22—222no—
1356C22—222no—
1357C22—222no—
1358C22—222no—
1359C22—222no—
1360C22—222no—
1361C22—222no—
1362C22—222no—
1363C22—4416no—
1364C22—441no—
1365C22—441no—
1366C22—441no—
1367C22—441no—
1368C22C2×#6703711yescharacteristic
1369C22C2×#41×D1111yescharacteristic
1370C22#1062345311yescharacteristic
1371C22D11×H(5,𝔽2)11yescharacteristic
1372C22D11×2−1+411yescharacteristic
1373C22D11×2−1+411yescharacteristic
1374C22#1062345711yescharacteristic
1375C4—22no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4—41no—
1388C4—41no—
1389C4—222no—
1390C4—441no—
1391C4—441no—
1392C4—441no—
1393C4—441no—
1394C4—441no—
1395C4—441no—
1396C4—441no—
1397C4—441no—
1398C4—441no—
1399C4—441no—
1400C4—441no—
1401C4—441no—
1402C4—441no—
1403C2—42no—
1404C2—224no—
1405C2—442no—
1406C2D11×#54111yescharacteristic
1407C2#1308229811yescharacteristic
1408C2#1308233011yescharacteristic
1409C2#1308281511yescharacteristic
1410C2#1308281711yescharacteristic
1411C2#1308282411yescharacteristic
1412C2#1308282711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2689C2
prime radicalC24×D11C23
hypercenter#2689D11
hypocenterC11#36732
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2689

Complements

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

NH ≅ G/Ntype
3. #13075772C2semidirect
4. #13075769C2semidirect
5. #13075768C2semidirect
6. #13075765C2semidirect
7. #13075706C2semidirect
8. #13075705C2semidirect
9. #13075701C2semidirect
10. #13075694C2semidirect
11. #13075197C2semidirect
12. #13075196C2semidirect
13. #13075193C2semidirect
14. #13075184C2semidirect
15. #13075068C2semidirect
16. #13075064C2semidirect
17. #13075063C2semidirect
18. #13074729C2semidirect
19. #13074585C2semidirect
20. #13073122C2semidirect
21. #13073122C2semidirect
22. #13073120C2semidirect
23. #13073112C2semidirect
28. #13071348C2semidirect
29. #13071343C2semidirect
31. C11×#2689C2semidirect
45. C11×#400C22semidirect
46. C11×#400C22semidirect
47. C11×#398C22semidirect
50. C11×#395C22semidirect
51. C11×#391C22semidirect
52. C11×#389C22semidirect
53. C11×#389C22semidirect
55. C11×#387C22semidirect
58. #10622843C22semidirect
59. #10622842C22semidirect
82. #10622599C22semidirect
83. #10622599C22semidirect
84. #10622599C22semidirect
85. #10622599C22semidirect
86. #10622598C22semidirect
87. #10622597C22semidirect
88. #10622597C22semidirect
89. #10622597C22semidirect
90. #10622596C22semidirect
91. #10622596C22semidirect
92. #10622596C22semidirect
93. #10622595C22semidirect
94. #10622595C22semidirect
95. #10622595C22semidirect
96. #10622593C22semidirect
97. #10622592C22semidirect
98. #10622592C22semidirect
99. #10622591C22semidirect
100. #10622590C22semidirect
101. #10622586C22semidirect
102. #10622585C22semidirect
103. #10622585C22semidirect
127. #10622546C22semidirect
128. #10622546C22semidirect
129. #10622546C22semidirect
130. #10622542C22semidirect
159. #10622274C22semidirect
160. #10622273C22semidirect
161. #10622273C22semidirect
162. #10622273C22semidirect
163. #10622271C22semidirect
164. #10622271C22semidirect
165. #10622271C22semidirect
166. #10622271C22semidirect
167. #10622270C22semidirect
168. #10622270C22semidirect
169. #10622270C22semidirect
170. #10622268C22semidirect
171. #10622268C22semidirect
172. #10622268C22semidirect
173. #10622267C22semidirect
174. #10622266C22semidirect
175. #10622266C22semidirect
176. #10622266C22semidirect
177. #10622266C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622265C22semidirect
181. #10622263C22semidirect
182. #10622263C22semidirect
183. #10622263C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
532. #2689D11semidirect
698. #400C2×D11semidirect
699. #400C2×D11semidirect
711. #398C2×D11semidirect
731. #395C2×D11semidirect
735. #391C2×D11semidirect
742. #389C2×D11semidirect
743. #389C2×D11semidirect
771. #387C2×D11semidirect
1220. C11#36732semidirect

Maximal subgroups

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

subgroupindex
#130769022
#130769002
#130757722
#130757692
#130757682
#130757652
#130757062
#130757052
#130757012
#130756942
#130751972
#130751962
#130751932
#130751842
#130750682
#130750642
#130750632
#130747292
#130745852
#130731222
#130731202
#130731122
#130728662
#130728632
#130728582
#130728572
#130713482
#130713432
D11×#3812
C11×#26892
#3673211