Finite Group Databasebeta

← #14961788

Subgroups — #14961788

Order 2816.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076969C211yesmaximal, characteristic, complemented
2#13076914C211yesmaximal, characteristic, complemented
3#13076518C211yesmaximal, characteristic, complemented
4#13076506C211yesmaximal, characteristic, complemented
5#13076493C211yesmaximal, characteristic, complemented
6#13076481C211yesmaximal, characteristic, complemented
7#13076251C211yesmaximal, characteristic, complemented
8#13076249C211yesmaximal, characteristic, complemented
9#13075914C211yesmaximal, characteristic, complemented
10#13075906C211yesmaximal, characteristic, complemented
11#13075627C211yesmaximal, characteristic, complemented
12#13075627C211yesmaximal, characteristic, complemented
13#13075461C211yesmaximal, characteristic, complemented
14#13075389C211yesmaximal, characteristic, complemented
15#13075384C211yesmaximal, characteristic, complemented
16#13075285C211yesmaximal, characteristic, complemented
17#13075283C211yesmaximal, characteristic, complemented
18#13074426C211yesmaximal, characteristic, complemented
19#13074355C211yesmaximal, characteristic
20#13072880C211yesmaximal, characteristic, complemented
21#13072873C211yesmaximal, characteristic, complemented
22#13072743C211yesmaximal, characteristic, complemented
23#13072740C211yesmaximal, characteristic, complemented
24#13072445C211yesmaximal, characteristic, complemented
25#13072441C211yesmaximal, characteristic, complemented
26#13072081C211yesmaximal, characteristic, complemented
27#13072075C211yesmaximal, characteristic, complemented
28#13071350C211yesmaximal, characteristic, complemented
29#13071313C211yesmaximal, characteristic, complemented
30D11×#388C211yesmaximal, characteristic, complemented
31C11×#2718C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic, complemented
33C2×C11×#123C2211yescharacteristic
34C2×#66990C2211yescharacteristic
35C2×C4×C22⋊D11C2211yescharacteristic
36C2×#66951C2211yescharacteristic, complemented
37C2×#66950C2211yescharacteristic
38C2×#66950C2211yescharacteristic
39C2×#66949C2211yescharacteristic
40C2×#66947C2211yescharacteristic
41C2×#66946C2211yescharacteristic
42C2×C4⋊C4×D11C2211yescharacteristic
43C2×#66938C2211yescharacteristic
44C2×#66938C2211yescharacteristic
45C2×#66938C2211yescharacteristic, complemented
46C2×#66937C2211yescharacteristic
47C2×#66935C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×C42×D11C2211yescharacteristic
52C2×#66922C2211yescharacteristic, complemented
53C11×#400C2211yescharacteristic, complemented
54C11×#399C2211yescharacteristic
55C11×#398C2211yescharacteristic, complemented
56C11×#396C2211yescharacteristic
57C11×#394C2211yescharacteristic
58C11×#394C2211yescharacteristic
59C11×#389C2211yescharacteristic, complemented
60C11×#388C2211yescharacteristic
61C11×#388C2211yescharacteristic
62C11×#388C2211yescharacteristic, complemented
63C11×#385C2211yescharacteristic, complemented
64C11×#385C2211yescharacteristic, complemented
65C11×#384C2211yescharacteristic, complemented
66#10622836C2211yescharacteristic
67#10622835C2211yescharacteristic
68#10622834C2211yescharacteristic
69#10622826C2211yescharacteristic
70#10622826C2211yescharacteristic, complemented
71#10622825C2211yescharacteristic, complemented
72#10622607C2211yescharacteristic
73#10622607C2211yescharacteristic
74#10622607C2211yescharacteristic, complemented
75#10622607C2211yescharacteristic, complemented
76#10622606C2211yescharacteristic
77#10622605C2211yescharacteristic
78#10622605C2211yescharacteristic
79#10622604C2211yescharacteristic
80#10622604C2211yescharacteristic
81#10622604C2211yescharacteristic
82#10622603C2211yescharacteristic
83#10622603C2211yescharacteristic
84#10622603C2211yescharacteristic
85#10622603C2211yescharacteristic, complemented
86#10622602C2211yescharacteristic
87#10622602C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic, complemented
90#10622602C2211yescharacteristic, complemented
91#10622600C2211yescharacteristic
92#10622600C2211yescharacteristic
93#10622600C2211yescharacteristic
94#10622600C2211yescharacteristic
95#10622600C2211yescharacteristic, complemented
96#10622599C2211yescharacteristic, complemented
97#10622599C2211yescharacteristic, complemented
98#10622598C2211yescharacteristic, complemented
99#10622598C2211yescharacteristic, complemented
100#10622598C2211yescharacteristic, complemented
101#10622598C2211yescharacteristic, complemented
102#10622597C2211yescharacteristic, complemented
103#10622595C2211yescharacteristic, complemented
104#10622594C2211yescharacteristic, complemented
105#10622594C2211yescharacteristic, complemented
106#10622594C2211yescharacteristic, complemented
107#10622591C2211yescharacteristic, complemented
108#10622591C2211yescharacteristic, complemented
109#10622587C2211yescharacteristic, complemented
110#10622587C2211yescharacteristic, complemented
111#10622587C2211yescharacteristic, complemented
112#10622585C2211yescharacteristic, complemented
113#10622574C2211yescharacteristic
114#10622574C2211yescharacteristic
115#10622574C2211yescharacteristic
116#10622574C2211yescharacteristic
117#10622574C2211yescharacteristic
118#10622574C2211yescharacteristic
119#10622573C2211yescharacteristic
120#10622570C2211yescharacteristic, complemented
121#10622569C2211yescharacteristic
122#10622569C2211yescharacteristic
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic, complemented
127#10622568C2211yescharacteristic
128#10622568C2211yescharacteristic
129#10622566C2211yescharacteristic
130#10622566C2211yescharacteristic, complemented
131#10622565C2211yescharacteristic
132#10622565C2211yescharacteristic
133#10622564C2211yescharacteristic
134#10622564C2211yescharacteristic
135#10622564C2211yescharacteristic
136#10622564C2211yescharacteristic, complemented
137#10622562C2211yescharacteristic
138#10622561C2211yescharacteristic
139#10622561C2211yescharacteristic, complemented
140#10622561C2211yescharacteristic, complemented
141#10622560C2211yescharacteristic
142#10622560C2211yescharacteristic
143#10622560C2211yescharacteristic, complemented
144#10622558C2211yescharacteristic
145#10622558C2211yescharacteristic, complemented
146#10622558C2211yescharacteristic, complemented
147#10622557C2211yescharacteristic
148#10622557C2211yescharacteristic
149#10622553C2211yescharacteristic
150#10622553C2211yescharacteristic, complemented
151#10622552C2211yescharacteristic
152C4×(C2×D11)⋊C4C2211yescharacteristic
153#10622546C2211yescharacteristic, complemented
154#10622546C2211yescharacteristic, complemented
155#10622288C2211yescharacteristic
156#10622288C2211yescharacteristic, complemented
157#10622287C2211yescharacteristic
158#10622286C2211yescharacteristic
159#10622286C2211yescharacteristic
160#10622286C2211yescharacteristic, complemented
161#10622283C2211yescharacteristic
162#10622283C2211yescharacteristic
163#10622283C2211yescharacteristic
164#10622283C2211yescharacteristic, complemented
165#10622283C2211yescharacteristic, complemented
166#10622282C2211yescharacteristic
167#10622281C2211yescharacteristic
168#10622279C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173D11×#95C2211yescharacteristic
174D11×#95C2211yescharacteristic
175#10622273C2211yescharacteristic, complemented
176#10622272C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622268C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622268C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622259C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×D44C2311yescharacteristic
195C22×D44C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×Dic22C2311yescharacteristic
204C22×Dic22C2311yescharacteristic
205C22×Dic22C2311yescharacteristic
206C11×#126—42no—
207C11×#123—42no—
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×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244#66990—42no—
245C4×C22⋊D11—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302#66951—42no—
303#66950—42no—
304#66950—42no—
305#66949—24no—
306#66947—42no—
307#66946—42no—
308C4⋊C4×D11—42no—
309#66938—42no—
310#66938—42no—
311#66938—42no—
312#66937—24no—
313#66935—42no—
314C22⋊C4×D11—24no—
315C22⋊C4×D11—42no—
316C22⋊C4×D11—42no—
317C42×D11—42no—
318#66922—42no—
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#36765—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C23×D11—22no—
367C23×D11—22no—
368C23×D11—22no—
369C23×D11—41no—
370C23×D11—41no—
371C23×D11—41no—
372C23×D11—41no—
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C23×D11C2411yescharacteristic
376C2×D4×C11—41no—
377C2×D4×C11—41no—
378C2×D4×C11—41no—
379C22×C4×C11—41no—
380C22×C4×C11—41no—
381C22×C4×C11—41no—
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C2×C22⋊D11—22no—
396C2×C22⋊D11—22no—
397C2×C22⋊D11—22no—
398C2×C22⋊D11—22no—
399C2×C22⋊D11—41no—
400C2×C22⋊D11—41no—
401C2×C22⋊D11—41no—
402C2×C22⋊D11—41no—
403C2×C22⋊D11—41no—
404C2×C22⋊D11—41no—
405C2×C22⋊D11—41no—
406C2×C22⋊D11—41no—
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C2×D44—22no—
421C2×D44—22no—
422C2×D44—22no—
423C2×D44—41no—
424C2×D44—41no—
425C2×D44—41no—
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—41no—
434C2×C4×D11—41no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×C4×D11—41no—
438C2×C4×D11—41no—
439C2×C4×D11—41no—
440C2×C4×D11—41no—
441C2×C4×D11—41no—
442C2×C4×D11—41no—
443C2×C4×D11—41no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11#4114yes—
447C2×Dic22—22no—
448C2×Dic22—22no—
449C2×Dic22—22no—
450C2×Dic22—41no—
451C2×Dic22—41no—
452C2×Dic22—41no—
453C2×Dic22—41no—
454C2×Dic22—41no—
455C2×Dic22—41no—
456C11×C4⋊C4—22no—
457C11×C4⋊C4—22no—
458C11×C4⋊C4—22no—
459C11×C4⋊C4—22no—
460C11×C4⋊C4—41no—
461C11×C4⋊C4—41no—
462C11×C4⋊C4—41no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4—41no—
465C11×C4⋊C4—41no—
466C11×C4⋊C4—41no—
467C11×C4⋊C4—41no—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—22no—
470C11×C22⋊C4—22no—
471C11×C22⋊C4—22no—
472C11×C22⋊C4—22no—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4—41no—
477C11×C22⋊C4—41no—
478C11×C22⋊C4—41no—
479C42×C11—22no—
480C42×C11—41no—
481C22⋊Dic11—22no—
482C22⋊Dic11—41no—
483C22⋊Dic11—41no—
484C22⋊Dic11—41no—
485C22⋊Dic11—41no—
486C22⋊Dic11—41no—
487C22⋊Dic11—41no—
488C22⋊Dic11—41no—
489C22⋊Dic11—41no—
490C22⋊Dic11—41no—
491C22⋊Dic11—41no—
492(C2×D11)⋊C4—22no—
493(C2×D11)⋊C4—22no—
494(C2×D11)⋊C4—22no—
495(C2×D11)⋊C4—22no—
496(C2×D11)⋊C4—22no—
497(C2×D11)⋊C4—22no—
498(C2×D11)⋊C4—22no—
499(C2×D11)⋊C4—22no—
500(C2×D11)⋊C4—22no—
501(C2×D11)⋊C4—22no—
502(C2×D11)⋊C4—22no—
503(C2×D11)⋊C4—22no—
504(C2×D11)⋊C4—22no—
505(C2×D11)⋊C4—41no—
506(C2×D11)⋊C4—41no—
507(C2×D11)⋊C4—41no—
508(C2×D11)⋊C4—41no—
509(C2×D11)⋊C4—41no—
510(C2×D11)⋊C4—41no—
511(C2×D11)⋊C4—41no—
512(C2×D11)⋊C4—41no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4—41no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520C4⋊Dic11—41no—
521C4⋊Dic11—41no—
522C4⋊Dic11—41no—
523C4⋊Dic11—41no—
524C4⋊Dic11—41no—
525C4⋊Dic11—41no—
526C4⋊Dic11—41no—
527C4⋊Dic11—41no—
528C4⋊Dic11—41no—
529C4⋊Dic11—41no—
530Dic11⋊C4—22no—
531Dic11⋊C4—22no—
532Dic11⋊C4—22no—
533Dic11⋊C4—22no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540C4×Dic11—22no—
541C4×Dic11—41no—
542C4×Dic11—41no—
543C4×Dic11—41no—
544C4×Dic11—41no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548#2857—111no—
549#2850—111no—
550#2800—111no—
551#2800—111no—
552#2798—111no—
553#2798—111no—
554#2779—111no—
555#2779—111no—
556#2754—111no—
557#2754—111no—
558#2731—111no—
559#2731—111no—
560#2718—111no—
561#2718D1111yescharacteristic, complemented
562#2712—111no—
563#2712—111no—
564#2705—111no—
565#2705—111no—
566#2626—111no—
567#2617—111no—
568#2481—111no—
569#2481—111no—
570#2472—111no—
571#2472—111no—
572#2450—111no—
573#2450—111no—
574#2418—111no—
575#2418—111no—
576#2329—111no—
577#2325—111no—
578C2×#388—111no—
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11C2511yescharacteristic
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—21no—
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—21no—
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—44no—
613C22×D11—44no—
614C22×D11—44no—
615C22×D11—82no—
616C22×D11—82no—
617C22×D11—82no—
618C22×D11—82no—
619C22×D11C2×#4112yes—
620C22×D11H(5,𝔽2)12yes—
621C22×D112−1+412yes—
622D4×C11—82no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—82no—
660C2×C4×C11C2×#4112yes—
661C2×C4×C11H(5,𝔽2)12yes—
662C2×C4×C11H(5,𝔽2)12yes—
663C22⋊D11—44no—
664C22⋊D11—82no—
665C22⋊D11—82no—
666C22⋊D11—82no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11C2×#4112yes—
706D44—44no—
707D44—82no—
708C4×D11—44no—
709C4×D11—44no—
710C4×D11—44no—
711C4×D11—44no—
712C4×D11—82no—
713C4×D11—82no—
714C4×D11—82no—
715Dic22—82no—
716Dic22—82no—
717Dic22—82no—
718C2×C4⋊Q8—111no—
719C2×#126—111no—
720C2×#126C2×D1111yescharacteristic, complemented
721C2×#124—111no—
722C2×#124—111no—
723C2×#124—111no—
724C2×#123—111no—
725C2×#123C2×D1111yescharacteristic
726C2×C22⋊Q8—111no—
727C2×C22⋊Q8—111no—
728C2×C22⋊Q8—111no—
729C2×#121—111no—
730C2×#120—111no—
731C2×#120—111no—
732C2×C4×D4—111no—
733C2×C4×D4—111no—
734C22×C4⋊C4—111no—
735C22×C22⋊C4—111no—
736C22×C22⋊C4—111no—
737C22×C22⋊C4—111no—
738C22×C42—111no—
739#400—111no—
740#400—111no—
741#400—111no—
742#400—111no—
743#400—111no—
744#400C2×D1111yescharacteristic, complemented
745#399—111no—
746#399—111no—
747#399—111no—
748#399C2×D1111yescharacteristic
749#398—111no—
750#398C2×D1111yescharacteristic, complemented
751#397—111no—
752#397—111no—
753#397—111no—
754#397—111no—
755#397—111no—
756#397—111no—
757#397—111no—
758#397—111no—
759#396—111no—
760#396—111no—
761#396—111no—
762#396—111no—
763#396—111no—
764#396—111no—
765#396—111no—
766#396C2×D1111yescharacteristic
767#394—111no—
768#394—111no—
769#394—111no—
770#394—111no—
771#394—111no—
772#394—111no—
773#394—111no—
774#394—111no—
775#394—111no—
776#394—111no—
777#394C2×D1111yescharacteristic
778#394C2×D1111yescharacteristic
779#393—111no—
780#393—111no—
781#393—111no—
782#393—111no—
783#393—111no—
784#393—111no—
785#392—111no—
786#392—111no—
787#391—111no—
788#391—111no—
789#391—111no—
790#391—111no—
791#391—111no—
792#391—111no—
793#391—111no—
794#390—111no—
795#390—111no—
796#390—111no—
797#389—111no—
798#389—111no—
799#389—111no—
800#389—111no—
801#389—111no—
802#389C2×D1111yescharacteristic, complemented
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388—111no—
814#388—111no—
815#388—111no—
816#388—111no—
817#388—111no—
818#388—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#388—111no—
824#388C2×D1111yescharacteristic
825#388C2×D1111yescharacteristic
826#388C2×D1111yescharacteristic, complemented
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387—111no—
832#387—111no—
833#387—111no—
834#387—111no—
835#387—111no—
836#387—111no—
837#387—111no—
838#387—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#386—111no—
843#386—111no—
844#386—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#386—111no—
849#386—111no—
850#386—111no—
851#385—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385C2×D1111yescharacteristic, complemented
858#385C2×D1111yescharacteristic, complemented
859#384C2×D1111yescharacteristic, complemented
860#382—111no—
861#380—111no—
862#380—111no—
863#380—111no—
864#380—111no—
865#380—111no—
866#380—111no—
867#379—111no—
868#379—111no—
869C4×C22⋊C4—111no—
870C4×C22⋊C4—111no—
871C2×#95—111no—
872C2×#95—111no—
873C22×C11—41no—
874C22×C11—41no—
875C22×C11—41no—
876C22×C11—41no—
877C22×C11—41no—
878C22×C11—41no—
879C22×C11—41no—
880C22×C11—41no—
881C22×C11—41no—
882C22×C11—41no—
883C22×C11—41no—
884C22×C11—41no—
885C22×C11—41no—
886C22×C11—41no—
887C22×C11C22×#4111yescharacteristic
888C22×C11C2×H(5,𝔽2)11yescharacteristic
889C22×C11C2×H(5,𝔽2)11yescharacteristic
890C22×C11C2×H(5,𝔽2)11yescharacteristic
891C22×C11C2×2−1+411yescharacteristic
892C22×C11#58511yescharacteristic
893C22×C11#58511yescharacteristic
894C2×D11—22no—
895C2×D11—22no—
896C2×D11—22no—
897C2×D11—22no—
898C2×D11—22no—
899C2×D11—22no—
900C2×D11—41no—
901C2×D11—41no—
902C2×D11—41no—
903C2×D11—41no—
904C2×D11—41no—
905C2×D11—41no—
906C2×D11—41no—
907C2×D11—41no—
908C2×D11—41no—
909C2×D11—41no—
910C2×D11—41no—
911C2×D11—41no—
912C2×D11—41no—
913C2×D11—41no—
914C2×D11—88no—
915C2×D11#54214yes—
916C4×C11—22no—
917C4×C11—22no—
918C4×C11—22no—
919C4×C11—41no—
920C4×C11—41no—
921C4×C11—41no—
922C4×C11—41no—
923C4×C11—41no—
924C4×C11—41no—
925C4×C11—41no—
926C4×C11—41no—
927C4×C11—41no—
928C4×C11—41no—
929Dic11—22no—
930Dic11—41no—
931Dic11—41no—
932Dic11—41no—
933Dic11—41no—
934Dic11—41no—
935Dic11—41no—
936Dic11—41no—
937Dic11—41no—
938Dic11—41no—
939Dic11—41no—
940Dic11—41no—
941Dic11—41no—
942C25—111no—
943C22×Q8—111no—
944C22×Q8—111no—
945C22×Q8—111no—
946C22×D4—111no—
947C22×D4—111no—
948C22×D4—111no—
949C22×D4—111no—
950C22×D4—111no—
951C22×D4—111no—
952C22×D4C22×D1111yescharacteristic
953C23×C4—111no—
954C23×C4—111no—
955C23×C4—111no—
956C23×C4—111no—
957C23×C4—111no—
958C23×C4—111no—
959C23×C4—111no—
960C23×C4C22×D1111yescharacteristic
961C4⋊Q8—442no—
962#126—42no—
963#126—442no—
964#124—442no—
965#124—442no—
966#124—442no—
967#123—42no—
968#123—442no—
969C22⋊Q8—224no—
970C22⋊Q8—442no—
971C22⋊Q8—442no—
972#121—224no—
973#120—442no—
974#120—442no—
975C4×D4—442no—
976C4×D4—442no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—111no—
987C2×C4⋊C4—111no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—442no—
998C2×C4⋊C4C22×D1111yescharacteristic
999C2×C4⋊C4C22×D1111yescharacteristic
1000C2×C4⋊C4C22×D1111yescharacteristic
1001C2×C4⋊C4C22×D1111yescharacteristic
1002C2×C4⋊C4C22×D1111yescharacteristic
1003C2×C4⋊C4C22×D1111yescharacteristic
1004C2×C4⋊C4C22×D1111yescharacteristic
1005C2×C4⋊C4C22×D1111yescharacteristic
1006C2×C4⋊C4C22×D1111yescharacteristic
1007C2×C4⋊C4C22×D1111yescharacteristic
1008C2×C4⋊C4C22×D1111yescharacteristic
1009C2×C4⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—224no—
1050C2×C22⋊C4—442no—
1051C2×C22⋊C4—442no—
1052C2×C22⋊C4C22×D1111yescharacteristic
1053C2×C22⋊C4C22×D1111yescharacteristic
1054C2×C22⋊C4C22×D1111yescharacteristic
1055C2×C22⋊C4C22×D1111yescharacteristic
1056C2×C22⋊C4C22×D1111yescharacteristic
1057C2×C22⋊C4C22×D1111yescharacteristic
1058C2×C22⋊C4C22×D1111yescharacteristic
1059C2×C22⋊C4C22×D1111yescharacteristic
1060C2×C22⋊C4C22×D1111yescharacteristic
1061C2×C22⋊C4C22×D1111yescharacteristic
1062C2×C22⋊C4C22×D1111yescharacteristic
1063C2×C42—111no—
1064C2×C42—111no—
1065C2×C42—111no—
1066C2×C42—111no—
1067C2×C42—111no—
1068C2×C42—111no—
1069C2×C42—111no—
1070C2×C42—111no—
1071C2×C42—442no—
1072C2×C42C22×D1111yescharacteristic
1073C2×C42C22×D1111yescharacteristic
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95C22×D1111yescharacteristic
1111#95C22×D1111yescharacteristic
1112#95C22×D1111yescharacteristic
1113#95C22×D1111yescharacteristic
1114#95C22×D1111yescharacteristic
1115#95C22×D1111yescharacteristic
1116#95C22×D1111yescharacteristic
1117#95C22×D1111yescharacteristic
1118C2×C11—81no—
1119C2×C11—81no—
1120C2×C11C2×#54211yescharacteristic
1121C2×C11#350511yescharacteristic
1122C2×C11#350611yescharacteristic
1123C2×C11#353411yescharacteristic
1124C2×C11#353611yescharacteristic
1125C2×C11#355811yescharacteristic
1126C2×C11#356411yescharacteristic
1127D11—24no—
1128D11—81no—
1129D11—81no—
1130C24—111no—
1131C24—111no—
1132C24—111no—
1133C24—222no—
1134C24—222no—
1135C24—222no—
1136C24—441no—
1137C24—441no—
1138C24—441no—
1139C24—441no—
1140C24C23×D1111yescharacteristic
1141C24C23×D1111yescharacteristic
1142C2×Q8—222no—
1143C2×Q8—222no—
1144C2×Q8—222no—
1145C2×Q8—441no—
1146C2×Q8—441no—
1147C2×Q8—441no—
1148C2×Q8—441no—
1149C2×Q8—441no—
1150C2×Q8—441no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—222no—
1155C2×D4—222no—
1156C2×D4—222no—
1157C2×D4—222no—
1158C2×D4—222no—
1159C2×D4—222no—
1160C2×D4—222no—
1161C2×D4—441no—
1162C2×D4—441no—
1163C2×D4—441no—
1164C2×D4—441no—
1165C2×D4—441no—
1166C2×D4—441no—
1167C2×D4—441no—
1168C2×D4—441no—
1169C2×D4—441no—
1170C2×D4—441no—
1171C2×D4—441no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—111no—
1176C22×C4—114no—
1177C22×C4—111no—
1178C22×C4—111no—
1179C22×C4—111no—
1180C22×C4—111no—
1181C22×C4—111no—
1182C22×C4—111no—
1183C22×C4—111no—
1184C22×C4—111no—
1185C22×C4—111no—
1186C22×C4—111no—
1187C22×C4—111no—
1188C22×C4—111no—
1189C22×C4—222no—
1190C22×C4—222no—
1191C22×C4—222no—
1192C22×C4—222no—
1193C22×C4—222no—
1194C22×C4—222no—
1195C22×C4—222no—
1196C22×C4—441no—
1197C22×C4—441no—
1198C22×C4—441no—
1199C22×C4—441no—
1200C22×C4—441no—
1201C22×C4—441no—
1202C22×C4—441no—
1203C22×C4—441no—
1204C22×C4—441no—
1205C22×C4—441no—
1206C22×C4—441no—
1207C22×C4—441no—
1208C22×C4—441no—
1209C22×C4C23×D1111yescharacteristic
1210C22×C4C23×D1111yescharacteristic
1211C22×C4C23×D1111yescharacteristic
1212C22×C4C23×D1111yescharacteristic
1213C22×C4C23×D1111yescharacteristic
1214C22×C4C23×D1111yescharacteristic
1215C22×C4C23×D1111yescharacteristic
1216C22×C4C23×D1111yescharacteristic
1217C22×C4C23×D1111yescharacteristic
1218C22×C4C23×D1111yescharacteristic
1219C22×C4C23×D1111yescharacteristic
1220C22×C4C23×D1111yescharacteristic
1221C22×C4C23×D1111yescharacteristic
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—222no—
1235C4⋊C4—222no—
1236C4⋊C4—222no—
1237C4⋊C4—222no—
1238C4⋊C4—441no—
1239C4⋊C4—441no—
1240C4⋊C4—441no—
1241C4⋊C4—441no—
1242C4⋊C4—441no—
1243C4⋊C4—441no—
1244C4⋊C4—441no—
1245C4⋊C4—441no—
1246C4⋊C4—441no—
1247C4⋊C4—441no—
1248C4⋊C4—441no—
1249C4⋊C4—441no—
1250C4⋊C4—441no—
1251C4⋊C4—441no—
1252C4⋊C4—441no—
1253C4⋊C4—441no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—222no—
1266C22⋊C4—222no—
1267C22⋊C4—222no—
1268C22⋊C4—222no—
1269C22⋊C4—222no—
1270C22⋊C4—222no—
1271C22⋊C4—222no—
1272C22⋊C4—222no—
1273C22⋊C4—222no—
1274C22⋊C4—222no—
1275C22⋊C4—222no—
1276C22⋊C4—222no—
1277C22⋊C4—222no—
1278C22⋊C4—222no—
1279C22⋊C4—441no—
1280C22⋊C4—441no—
1281C22⋊C4—441no—
1282C22⋊C4—441no—
1283C22⋊C4—441no—
1284C22⋊C4—441no—
1285C22⋊C4—441no—
1286C22⋊C4—441no—
1287C22⋊C4—441no—
1288C22⋊C4—441no—
1289C22⋊C4—441no—
1290C22⋊C4—441no—
1291C22⋊C4—441no—
1292C22⋊C4—441no—
1293C22⋊C4—441no—
1294C22⋊C4—441no—
1295C22⋊C4—441no—
1296C22⋊C4—441no—
1297C22⋊C4—441no—
1298C22⋊C4—441no—
1299C22⋊C4—441no—
1300C22⋊C4—441no—
1301C22⋊C4—441no—
1302C22⋊C4—441no—
1303C22⋊C4—441no—
1304C42—22no—
1305C42—41no—
1306C42—222no—
1307C42—441no—
1308C42—441no—
1309C42—441no—
1310C42—441no—
1311C42—441no—
1312C42—441no—
1313C42—441no—
1314C11#3676511yescharacteristic, complemented, Sylow
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—112no—
1330C23—112no—
1331C23—112no—
1332C23—221no—
1333C23—221no—
1334C23—221no—
1335C23—221no—
1336C23—221no—
1337C23—221no—
1338C23—221no—
1339C23—221no—
1340C23—221no—
1341C23—221no—
1342C23—221no—
1343C23—221no—
1344C23—221no—
1345C23—221no—
1346C23—221no—
1347C23—221no—
1348C23—221no—
1349C23—221no—
1350C23—444no—
1351C23—444no—
1352C23—444no—
1353C23—882no—
1354C23—882no—
1355C23—882no—
1356C23—882no—
1357C23C24×D1111yescharacteristic
1358Q8—882no—
1359Q8—882no—
1360Q8—882no—
1361D4—82no—
1362D4—444no—
1363D4—444no—
1364D4—882no—
1365D4—882no—
1366D4—882no—
1367D4—882no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—82no—
1405C2×C4—112no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—221no—
1412C2×C4—221no—
1413C2×C4—221no—
1414C2×C4—221no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—444no—
1445C2×C4—444no—
1446C2×C4—444no—
1447C2×C4—444no—
1448C2×C4—882no—
1449C2×C4—882no—
1450C2×C4—882no—
1451C2×C4#6703712yes—
1452C2×C4#41×D1112yes—
1453C2×C4#6704212yes—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—114no—
1469C22—222no—
1470C22—222no—
1471C22—222no—
1472C22—222no—
1473C22—222no—
1474C22—222no—
1475C22—441no—
1476C22—441no—
1477C22—441no—
1478C22—441no—
1479C22—441no—
1480C22—441no—
1481C22—441no—
1482C22—441no—
1483C22—441no—
1484C22—441no—
1485C22—441no—
1486C22—441no—
1487C22—441no—
1488C22—441no—
1489C22—888no—
1490C22C2×#6703711yescharacteristic
1491C22C2×#41×D1111yescharacteristic
1492C22C2×#6704211yescharacteristic
1493C22D11×H(5,𝔽2)11yescharacteristic
1494C22#1062345511yescharacteristic
1495C22D11×2−1+411yescharacteristic
1496C22#1062345711yescharacteristic
1497C4—22no—
1498C4—22no—
1499C4—22no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—222no—
1511C4—441no—
1512C4—441no—
1513C4—441no—
1514C4—441no—
1515C4—441no—
1516C4—441no—
1517C4—441no—
1518C4—441no—
1519C4—441no—
1520C4—441no—
1521C4—441no—
1522C4—441no—
1523C2—81no—
1524C2—81no—
1525C2—224no—
1526C2—881no—
1527C2—881no—
1528C2D11×#54211yescharacteristic
1529C2#1308244511yescharacteristic
1530C2#1308246611yescharacteristic
1531C2#1308280411yescharacteristic
1532C2#1308283911yescharacteristic
1533C2#1308313411yescharacteristic
1534C2#1308323111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2718C2
prime radical#13074355C2
hypercenter#2718D11
hypocenterC11#36765
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2718

Complements

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

NH ≅ G/Ntype
1. #13076969C2semidirect
2. #13076914C2semidirect
3. #13076518C2semidirect
4. #13076506C2semidirect
5. #13076493C2semidirect
6. #13076481C2semidirect
7. #13076251C2semidirect
8. #13076249C2semidirect
9. #13075914C2semidirect
10. #13075906C2semidirect
11. #13075627C2semidirect
12. #13075627C2semidirect
13. #13075461C2semidirect
14. #13075389C2semidirect
15. #13075384C2semidirect
16. #13075285C2semidirect
17. #13075283C2semidirect
18. #13074426C2semidirect
20. #13072880C2semidirect
21. #13072873C2semidirect
22. #13072743C2semidirect
23. #13072740C2semidirect
24. #13072445C2semidirect
25. #13072441C2semidirect
26. #13072081C2semidirect
27. #13072075C2semidirect
28. #13071350C2semidirect
29. #13071313C2semidirect
30. D11×#388C2semidirect
31. C11×#2718C2semidirect
32. C2×C11×#126C22semidirect
36. C2×#66951C22semidirect
45. C2×#66938C22semidirect
52. C2×#66922C22semidirect
53. C11×#400C22semidirect
55. C11×#398C22semidirect
59. C11×#389C22semidirect
62. C11×#388C22semidirect
63. C11×#385C22semidirect
64. C11×#385C22semidirect
65. C11×#384C22semidirect
70. #10622826C22semidirect
71. #10622825C22semidirect
74. #10622607C22semidirect
75. #10622607C22semidirect
85. #10622603C22semidirect
89. #10622602C22semidirect
90. #10622602C22semidirect
95. #10622600C22semidirect
96. #10622599C22semidirect
97. #10622599C22semidirect
98. #10622598C22semidirect
99. #10622598C22semidirect
100. #10622598C22semidirect
101. #10622598C22semidirect
102. #10622597C22semidirect
103. #10622595C22semidirect
104. #10622594C22semidirect
105. #10622594C22semidirect
106. #10622594C22semidirect
107. #10622591C22semidirect
108. #10622591C22semidirect
109. #10622587C22semidirect
110. #10622587C22semidirect
111. #10622587C22semidirect
112. #10622585C22semidirect
120. #10622570C22semidirect
126. #10622569C22semidirect
130. #10622566C22semidirect
136. #10622564C22semidirect
139. #10622561C22semidirect
140. #10622561C22semidirect
143. #10622560C22semidirect
145. #10622558C22semidirect
146. #10622558C22semidirect
150. #10622553C22semidirect
153. #10622546C22semidirect
154. #10622546C22semidirect
156. #10622288C22semidirect
160. #10622286C22semidirect
164. #10622283C22semidirect
165. #10622283C22semidirect
175. #10622273C22semidirect
176. #10622272C22semidirect
177. #10622268C22semidirect
178. #10622268C22semidirect
179. #10622268C22semidirect
180. #10622268C22semidirect
181. #10622265C22semidirect
182. #10622263C22semidirect
183. #10622259C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
561. #2718D11semidirect
720. C2×#126C2×D11semidirect
744. #400C2×D11semidirect
750. #398C2×D11semidirect
802. #389C2×D11semidirect
826. #388C2×D11semidirect
857. #385C2×D11semidirect
858. #385C2×D11semidirect
859. #384C2×D11semidirect
1314. C11#36765semidirect

Maximal subgroups

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

subgroupindex
#130769692
#130769142
#130765182
#130765062
#130764932
#130764812
#130762512
#130762492
#130759142
#130759062
#130756272
#130754612
#130753892
#130753842
#130752852
#130752832
#130744262
#130743552
#130728802
#130728732
#130727432
#130727402
#130724452
#130724412
#130720812
#130720752
#130713502
#130713132
D11×#3882
C11×#27182
#3676511