Finite Group Databasebeta

← #14969342

Subgroups — #14969342

Order 2816.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1582 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076987C211yesmaximal, characteristic, complemented
2#13076985C211yesmaximal, characteristic, complemented
3#13076555C211yesmaximal, characteristic, complemented
4#13076236C211yesmaximal, characteristic, complemented
5#13075988C211yesmaximal, characteristic, complemented
6#13075931C211yesmaximal, characteristic, complemented
7#13075914C211yesmaximal, characteristic, complemented
8#13075656C211yesmaximal, characteristic, complemented
9#13075619C211yesmaximal, characteristic, complemented
10#13075389C211yesmaximal, characteristic, complemented
11#13075381C211yesmaximal, characteristic, complemented
12#13075366C211yesmaximal, characteristic, complemented
13#13075364C211yesmaximal, characteristic, complemented
14#13075311C211yesmaximal, characteristic, complemented
15#13075280C211yesmaximal, characteristic, complemented
16#13074943C211yesmaximal, characteristic, complemented
17#13074843C211yesmaximal, characteristic, complemented
18#13074841C211yesmaximal, characteristic, complemented
19#13074673C211yesmaximal, characteristic, complemented
20#13073726C211yesmaximal, characteristic, complemented
21#13073689C211yesmaximal, characteristic, complemented
22#13072748C211yesmaximal, characteristic, complemented
23#13072574C211yesmaximal, characteristic, complemented
24#13072543C211yesmaximal, characteristic, complemented
25#13072513C211yesmaximal, characteristic, complemented
26#13072411C211yesmaximal, characteristic, complemented
27#13072075C211yesmaximal, characteristic, complemented
28#13071423C211yesmaximal, characteristic, complemented
29#13071275C211yesmaximal, characteristic, complemented
30C4×#66938C211yesmaximal, characteristic, complemented
31C11×#2661C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×C11×#121C2211yescharacteristic, complemented
34C2×#66992C2211yescharacteristic
35C2×#66990C2211yescharacteristic
36C2×#66990C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66989C2211yescharacteristic
39C2×#66989C2211yescharacteristic, complemented
40C2×#66988C2211yescharacteristic
41C2×#66988C2211yescharacteristic, complemented
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×#66949C2211yescharacteristic
44C2×#66943C2211yescharacteristic, complemented
45C2×#66942C2211yescharacteristic, complemented
46C2×#66938C2211yescharacteristic
47C2×#66938C2211yescharacteristic
48C2×#66938C2211yescharacteristic
49C2×#66938C2211yescharacteristic
50C2×(C22⋊D11)⋊C4C2211yescharacteristic
51C2×C22⋊C4×D11C2211yescharacteristic
52C2×C4×Dic22C2211yescharacteristic, complemented
53C11×#398C2211yescharacteristic, complemented
54C11×#397C2211yescharacteristic
55C11×#394C2211yescharacteristic, complemented
56C11×#394C2211yescharacteristic, complemented
57C11×#394C2211yescharacteristic, complemented
58C11×#392C2211yescharacteristic
59C11×#392C2211yescharacteristic
60C11×#392C2211yescharacteristic
61C11×#390C2211yescharacteristic
62C11×#390C2211yescharacteristic
63C11×#388C2211yescharacteristic, complemented
64C11×#388C2211yescharacteristic, complemented
65C4×C11×C22⋊C4C2211yescharacteristic, complemented
66#10622836C2211yescharacteristic
67#10622836C2211yescharacteristic
68#10622836C2211yescharacteristic
69#10622836C2211yescharacteristic
70#10622836C2211yescharacteristic
71#10622835C2211yescharacteristic
72#10622835C2211yescharacteristic
73#10622835C2211yescharacteristic
74#10622835C2211yescharacteristic
75#10622835C2211yescharacteristic, complemented
76#10622834C2211yescharacteristic
77#10622834C2211yescharacteristic
78#10622834C2211yescharacteristic, complemented
79#10622833C2211yescharacteristic
80#10622833C2211yescharacteristic, complemented
81#10622833C2211yescharacteristic, complemented
82#10622826C2211yescharacteristic
83#10622823C2211yescharacteristic, complemented
84C4×C22⋊Dic11C2211yescharacteristic, complemented
85#10622607C2211yescharacteristic
86#10622606C2211yescharacteristic
87#10622605C2211yescharacteristic
88#10622603C2211yescharacteristic
89#10622603C2211yescharacteristic
90#10622603C2211yescharacteristic
91#10622602C2211yescharacteristic
92#10622602C2211yescharacteristic
93#10622600C2211yescharacteristic
94#10622599C2211yescharacteristic, complemented
95#10622596C2211yescharacteristic, complemented
96#10622592C2211yescharacteristic, complemented
97#10622591C2211yescharacteristic, complemented
98#10622591C2211yescharacteristic, complemented
99C4⋊C4×Dic11C2211yescharacteristic, complemented
100#10622587C2211yescharacteristic, complemented
101#10622585C2211yescharacteristic, complemented
102#10622574C2211yescharacteristic
103#10622574C2211yescharacteristic
104#10622574C2211yescharacteristic
105#10622572C2211yescharacteristic
106#10622572C2211yescharacteristic
107#10622572C2211yescharacteristic
108#10622571C2211yescharacteristic
109#10622571C2211yescharacteristic
110#10622570C2211yescharacteristic
111#10622570C2211yescharacteristic
112#10622570C2211yescharacteristic
113#10622570C2211yescharacteristic
114#10622570C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622568C2211yescharacteristic
120#10622568C2211yescharacteristic
121#10622568C2211yescharacteristic
122#10622566C2211yescharacteristic, complemented
123#10622565C2211yescharacteristic
124#10622565C2211yescharacteristic, complemented
125#10622564C2211yescharacteristic
126#10622564C2211yescharacteristic
127#10622564C2211yescharacteristic
128#10622564C2211yescharacteristic, complemented
129#10622564C2211yescharacteristic, complemented
130#10622564C2211yescharacteristic, complemented
131#10622564C2211yescharacteristic, complemented
132#10622563C2211yescharacteristic, complemented
133#10622563C2211yescharacteristic, complemented
134#10622562C2211yescharacteristic, complemented
135#10622561C2211yescharacteristic
136#10622561C2211yescharacteristic, complemented
137#10622560C2211yescharacteristic
138#10622560C2211yescharacteristic
139#10622560C2211yescharacteristic, complemented
140#10622560C2211yescharacteristic, complemented
141#10622559C2211yescharacteristic, complemented
142#10622558C2211yescharacteristic
143#10622558C2211yescharacteristic
144#10622558C2211yescharacteristic
145#10622558C2211yescharacteristic, complemented
146#10622558C2211yescharacteristic, complemented
147#10622558C2211yescharacteristic, complemented
148#10622557C2211yescharacteristic
149#10622557C2211yescharacteristic
150#10622557C2211yescharacteristic, complemented
151#10622557C2211yescharacteristic, complemented
152#10622557C2211yescharacteristic, complemented
153#10622557C2211yescharacteristic, complemented
154#10622555C2211yescharacteristic, complemented
155C22⋊C4×Dic11C2211yescharacteristic, complemented
156#10622553C2211yescharacteristic
157#10622553C2211yescharacteristic
158C4×(C2×D11)⋊C4C2211yescharacteristic
159C4×(C2×D11)⋊C4C2211yescharacteristic
160#10622546C2211yescharacteristic, complemented
161C42×Dic11C2211yescharacteristic, complemented
162#10622542C2211yescharacteristic, complemented
163#10622290C2211yescharacteristic
164#10622289C2211yescharacteristic
165#10622288C2211yescharacteristic
166#10622288C2211yescharacteristic
167#10622288C2211yescharacteristic
168#10622286C2211yescharacteristic
169#10622283C2211yescharacteristic
170#10622283C2211yescharacteristic
171#10622283C2211yescharacteristic
172#10622283C2211yescharacteristic
173#10622282C2211yescharacteristic
174#10622282C2211yescharacteristic
175C11⋊#401C2211yescharacteristic, complemented
176#10622270C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622264C2211yescharacteristic, complemented
180#10622263C2211yescharacteristic, complemented
181#10622260C2211yescharacteristic, complemented
182#10622259C2211yescharacteristic, complemented
183#10622259C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×Dic22C2311yescharacteristic
206C22×Dic22C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C11×#123—42no—
209C11×#121—42no—
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C22⋊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×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×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
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
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255#66992—42no—
256#66990—24no—
257#66990—42no—
258#66990—42no—
259#66989—42no—
260#66989—42no—
261#66988—42no—
262#66988—42no—
263C4×C22⋊D11—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315#66949—42no—
316#66943—42no—
317#66942—42no—
318#66938—24no—
319#66938—24no—
320#66938—42no—
321#66938—42no—
322(C22⋊D11)⋊C4—42no—
323C22⋊C4×D11—42no—
324C4×Dic22—42no—
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#37038—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C24×C11C2411yescharacteristic
368C23×D11—22no—
369C23×D11—41no—
370C23×D11—41no—
371C23×D11—41no—
372C23×D11—41no—
373C23×D11—41no—
374C23×D11—41no—
375C23×D11C2411yescharacteristic
376C23×D11C2411yescharacteristic
377C2×D4×C11—22no—
378C2×D4×C11—41no—
379C2×D4×C11—41no—
380C2×D4×C11—41no—
381C2×D4×C11—41no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C2×D4×C11—41no—
387C2×D4×C11—41no—
388C2×D4×C11—41no—
389C2×D4×C11—41no—
390C2×D4×C11—41no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C22×C4×C11—22no—
396C22×C4×C11—41no—
397C22×C4×C11—41no—
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11—22no—
412C2×C22⋊D11—22no—
413C2×C22⋊D11—22no—
414C2×C22⋊D11—22no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11—41no—
417C2×C22⋊D11—41no—
418C2×C22⋊D11—41no—
419C2×C22⋊D11—41no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C22×Dic11—41no—
428C22×Dic11—41no—
429C22×Dic11—41no—
430C22×Dic11—41no—
431C22×Dic11—41no—
432C22×Dic11—41no—
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C2×C4×D11—22no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×Dic22—22no—
454C2×Dic22—22no—
455C2×Dic22—22no—
456C2×Dic22—22no—
457C2×Dic22—41no—
458C2×Dic22—41no—
459C2×Dic22—41no—
460C2×Dic22—41no—
461C2×Dic22—41no—
462C11×C4⋊C4—22no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4—41no—
465C11×C4⋊C4—41no—
466C11×C4⋊C4—41no—
467C11×C22⋊C4—22no—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—22no—
470C11×C22⋊C4—22no—
471C11×C22⋊C4—22no—
472C11×C22⋊C4—41no—
473C11×C22⋊C4—41no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4—41no—
477C11×C22⋊C4—41no—
478C11×C22⋊C4—41no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C42×C11—41no—
483C42×C11—41no—
484C22⋊Dic11—22no—
485C22⋊Dic11—22no—
486C22⋊Dic11—22no—
487C22⋊Dic11—22no—
488C22⋊Dic11—22no—
489C22⋊Dic11—22no—
490C22⋊Dic11—22no—
491C22⋊Dic11—22no—
492C22⋊Dic11—22no—
493C22⋊Dic11—41no—
494C22⋊Dic11—41no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
497C22⋊Dic11—41no—
498C22⋊Dic11—41no—
499C22⋊Dic11—41no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
505C22⋊Dic11—41no—
506C22⋊Dic11—41no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—22no—
510(C2×D11)⋊C4—22no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—22no—
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—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4#4114yes—
527C4⋊Dic11—41no—
528C4⋊Dic11—41no—
529C4⋊Dic11—41no—
530C4⋊Dic11—41no—
531C4⋊Dic11—41no—
532C4⋊Dic11—41no—
533Dic11⋊C4—22no—
534Dic11⋊C4—22no—
535Dic11⋊C4—22no—
536Dic11⋊C4—22no—
537Dic11⋊C4—22no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547C4×Dic11—22no—
548C4×Dic11—22no—
549C4×Dic11—22no—
550C4×Dic11—22no—
551C4×Dic11—22no—
552C4×Dic11—41no—
553C4×Dic11—41no—
554C4×Dic11—41no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558#2861—111no—
559#2861—111no—
560#2803—111no—
561#2778—111no—
562#2759—111no—
563#2756—111no—
564#2754—111no—
565#2735—111no—
566#2730—111no—
567#2712—111no—
568#2712—111no—
569#2711—111no—
570#2710—111no—
571#2706—111no—
572#2704—111no—
573#2678—111no—
574#2670—111no—
575#2670—111no—
576#2661D1111yescharacteristic, complemented
577#2653—111no—
578#2558—111no—
579#2555—111no—
580#2472—111no—
581#2460—111no—
582#2458—111no—
583#2456—111no—
584#2448—111no—
585#2418—111no—
586#2337—111no—
587#2321—111no—
588C4×#124—111no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11C2511yescharacteristic
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—44no—
632C22×D11—82no—
633C22×D11—82no—
634C22×D11—82no—
635C22×D11—82no—
636C22×D11—82no—
637C22×D11—82no—
638C22×D11C2×#4112yes—
639D4×C11—82no—
640D4×C11—82no—
641D4×C11—82no—
642D4×C11—82no—
643D4×C11—82no—
644D4×C11—82no—
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—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—82no—
677C2×C4×C11C2×#4112yes—
678C2×C4×C11H(5,𝔽2)12yes—
679C22⋊D11—44no—
680C22⋊D11—44no—
681C22⋊D11—82no—
682C22⋊D11—82no—
683C22⋊D11—82no—
684C22⋊D11—82no—
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×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—82no—
725C2×Dic11—82no—
726C2×Dic11C2×#4112yes—
727C2×Dic11H(5,𝔽2)12yes—
728C2×Dic11H(5,𝔽2)12yes—
729C4×D11—82no—
730C4×D11—82no—
731Dic22—44no—
732Dic22—82no—
733Dic22—82no—
734C2×#125—111no—
735C2×#125—111no—
736C2×#124—111no—
737C2×#124—111no—
738C2×#124—111no—
739C2×#124—111no—
740C2×#124—111no—
741C2×#124—111no—
742C2×#123—111no—
743C2×#123—111no—
744C2×#123C2×D1111yescharacteristic
745C2×C22⋊Q8—111no—
746C2×#121—111no—
747C2×#121C2×D1111yescharacteristic, complemented
748C2×#120—111no—
749C2×#120—111no—
750C2×#120—111no—
751C2×C4×Q8—111no—
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C22×C22⋊C4—111no—
755#401—111no—
756#400—111no—
757#399—111no—
758#399—111no—
759#399—111no—
760#398—111no—
761#398—111no—
762#398C2×D1111yescharacteristic, complemented
763#397—111no—
764#397—111no—
765#397—111no—
766#397—111no—
767#397—111no—
768#397—111no—
769#397—111no—
770#397C2×D1111yescharacteristic
771#396—111no—
772#396—111no—
773#396—111no—
774#396—111no—
775#395—111no—
776#394—111no—
777#394—111no—
778#394—111no—
779#394—111no—
780#394—111no—
781#394—111no—
782#394—111no—
783#394—111no—
784#394—111no—
785#394—111no—
786#394—111no—
787#394C2×D1111yescharacteristic, complemented
788#394C2×D1111yescharacteristic, complemented
789#394C2×D1111yescharacteristic, complemented
790#393—111no—
791#393—111no—
792#393—111no—
793#393—111no—
794#393—111no—
795#392—111no—
796#392—111no—
797#392—111no—
798#392—111no—
799#392—111no—
800#392C2×D1111yescharacteristic
801#392C2×D1111yescharacteristic
802#392C2×D1111yescharacteristic
803#391—111no—
804#391—111no—
805#391—111no—
806#391—111no—
807#391—111no—
808#391—111no—
809#391—111no—
810#390—111no—
811#390—111no—
812#390—111no—
813#390—111no—
814#390—111no—
815#390—111no—
816#390—111no—
817#390—111no—
818#390C2×D1111yescharacteristic
819#390C2×D1111yescharacteristic
820#389—111no—
821#389—111no—
822#388—111no—
823#388—111no—
824#388—111no—
825#388—111no—
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388—111no—
837#388—111no—
838#388—111no—
839#388—111no—
840#388—111no—
841#388—111no—
842#388—111no—
843#388—111no—
844#388—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388C2×D1111yescharacteristic, complemented
853#388C2×D1111yescharacteristic, complemented
854#387—111no—
855#387—111no—
856#387—111no—
857#387—111no—
858#387—111no—
859#386—111no—
860#386—111no—
861#386—111no—
862#386—111no—
863#386—111no—
864#386—111no—
865#386—111no—
866#386—111no—
867#386—111no—
868#386—111no—
869#385—111no—
870#385—111no—
871#385—111no—
872#385—111no—
873#385—111no—
874#385—111no—
875#383—111no—
876#382—111no—
877#380—111no—
878#380—111no—
879#379—111no—
880#379—111no—
881#379—111no—
882C4×C4⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4C2×D1111yescharacteristic, complemented
888C43—111no—
889C22×C11—41no—
890C22×C11—41no—
891C22×C11—41no—
892C22×C11—41no—
893C22×C11—41no—
894C22×C11—41no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11—41no—
901C22×C11—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11C22×#4111yescharacteristic
918C22×C11C2×H(5,𝔽2)11yescharacteristic
919C22×C11C2×H(5,𝔽2)11yescharacteristic
920C22×C11C2×H(5,𝔽2)11yescharacteristic
921C22×C11#58511yescharacteristic
922C22×C11#58511yescharacteristic
923C22×C11#58511yescharacteristic
924C2×D11—22no—
925C2×D11—22no—
926C2×D11—22no—
927C2×D11—41no—
928C2×D11—41no—
929C2×D11—41no—
930C2×D11—41no—
931C2×D11—41no—
932C2×D11—41no—
933C2×D11—41no—
934C2×D11—41no—
935C2×D11—41no—
936C2×D11—41no—
937C2×D11—41no—
938C2×D11—88no—
939C4×C11—22no—
940C4×C11—22no—
941C4×C11—41no—
942C4×C11—41no—
943C4×C11—41no—
944C4×C11—41no—
945C4×C11—41no—
946C4×C11—41no—
947C4×C11—41no—
948C4×C11—41no—
949C4×C11—41no—
950Dic11—22no—
951Dic11—22no—
952Dic11—22no—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956Dic11—41no—
957Dic11—41no—
958Dic11—41no—
959Dic11—41no—
960Dic11—41no—
961Dic11—41no—
962Dic11—41no—
963Dic11—41no—
964C25—111no—
965C22×Q8—111no—
966C22×Q8—111no—
967C22×Q8—111no—
968C22×D4—111no—
969C22×D4—111no—
970C22×D4—111no—
971C22×D4—111no—
972C22×D4—111no—
973C22×D4—111no—
974C22×D4C22×D1111yescharacteristic
975C22×D4C22×D1111yescharacteristic
976C22×D4C22×D1111yescharacteristic
977C22×D4C22×D1111yescharacteristic
978C22×D4C22×D1111yescharacteristic
979C22×D4C22×D1111yescharacteristic
980C23×C4—111no—
981C23×C4—111no—
982C23×C4—111no—
983C23×C4—111no—
984C23×C4C22×D1111yescharacteristic
985#125—442no—
986#125—442no—
987#124—224no—
988#124—224no—
989#124—442no—
990#124—442no—
991#124—442no—
992#124—442no—
993#123—42no—
994#123—442no—
995#123—442no—
996C22⋊Q8—442no—
997#121—42no—
998#121—442no—
999#120—224no—
1000#120—442no—
1001#120—442no—
1002C4×Q8—442no—
1003C4×D4—442no—
1004C4×D4—442no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4C22×D1111yescharacteristic
1026C2×C4⋊C4C22×D1111yescharacteristic
1027C2×C4⋊C4C22×D1111yescharacteristic
1028C2×C4⋊C4C22×D1111yescharacteristic
1029C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—442no—
1074C2×C22⋊C4C22×D1111yescharacteristic
1075C2×C22⋊C4C22×D1111yescharacteristic
1076C2×C22⋊C4C22×D1111yescharacteristic
1077C2×C22⋊C4C22×D1111yescharacteristic
1078C2×C22⋊C4C22×D1111yescharacteristic
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C22⋊C4C22×D1111yescharacteristic
1081C2×C22⋊C4C22×D1111yescharacteristic
1082C2×C22⋊C4C22×D1111yescharacteristic
1083C2×C22⋊C4C22×D1111yescharacteristic
1084C2×C22⋊C4C22×D1111yescharacteristic
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C42—111no—
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—111no—
1096C2×C42—111no—
1097C2×C42—111no—
1098C2×C42—111no—
1099C2×C42—111no—
1100C2×C42C22×D1111yescharacteristic
1101C2×C42C22×D1111yescharacteristic
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#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95C22×D1111yescharacteristic
1135#95C22×D1111yescharacteristic
1136#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140C2×C11—81no—
1141C2×C11—81no—
1142C2×C11—81no—
1143C2×C11—81no—
1144C2×C11#346011yescharacteristic
1145C2×C11#351311yescharacteristic
1146C2×C11#351411yescharacteristic
1147C2×C11#354611yescharacteristic
1148C2×C11#355811yescharacteristic
1149C2×C11#355811yescharacteristic
1150C2×C11#356611yescharacteristic
1151D11—42no—
1152D11—81no—
1153C24—111no—
1154C24—111no—
1155C24—222no—
1156C24—441no—
1157C24—441no—
1158C24—441no—
1159C24—441no—
1160C24—441no—
1161C24—441no—
1162C24C23×D1111yescharacteristic
1163C24C23×D1111yescharacteristic
1164C24C23×D1111yescharacteristic
1165C24C23×D1111yescharacteristic
1166C2×Q8—222no—
1167C2×Q8—222no—
1168C2×Q8—222no—
1169C2×Q8—222no—
1170C2×Q8—441no—
1171C2×Q8—441no—
1172C2×Q8—441no—
1173C2×Q8—441no—
1174C2×Q8—441no—
1175C2×D4—22no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—222no—
1194C2×D4—222no—
1195C2×D4—222no—
1196C2×D4—222no—
1197C2×D4—222no—
1198C2×D4—222no—
1199C2×D4—441no—
1200C2×D4—441no—
1201C2×D4—441no—
1202C2×D4—441no—
1203C2×D4—441no—
1204C2×D4—441no—
1205C2×D4—441no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C22×C4—22no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—111no—
1215C22×C4—111no—
1216C22×C4—111no—
1217C22×C4—111no—
1218C22×C4—111no—
1219C22×C4—111no—
1220C22×C4—111no—
1221C22×C4—111no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—222no—
1229C22×C4—441no—
1230C22×C4—441no—
1231C22×C4—441no—
1232C22×C4—441no—
1233C22×C4—441no—
1234C22×C4—441no—
1235C22×C4—441no—
1236C22×C4—441no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4—441no—
1240C22×C4C23×D1111yescharacteristic
1241C22×C4C23×D1111yescharacteristic
1242C22×C4C23×D1111yescharacteristic
1243C22×C4C23×D1111yescharacteristic
1244C22×C4C23×D1111yescharacteristic
1245C22×C4C23×D1111yescharacteristic
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C4⋊C4—22no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—222no—
1257C4⋊C4—222no—
1258C4⋊C4—222no—
1259C4⋊C4—222no—
1260C4⋊C4—222no—
1261C4⋊C4—441no—
1262C4⋊C4—441no—
1263C4⋊C4—441no—
1264C4⋊C4—441no—
1265C4⋊C4—441no—
1266C4⋊C4—441no—
1267C4⋊C4—441no—
1268C4⋊C4—441no—
1269C4⋊C4—441no—
1270C4⋊C4—441no—
1271C4⋊C4—441no—
1272C4⋊C4—441no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—114no—
1292C22⋊C4—222no—
1293C22⋊C4—222no—
1294C22⋊C4—222no—
1295C22⋊C4—222no—
1296C22⋊C4—222no—
1297C22⋊C4—222no—
1298C22⋊C4—222no—
1299C22⋊C4—222no—
1300C22⋊C4—222no—
1301C22⋊C4—222no—
1302C22⋊C4—222no—
1303C22⋊C4—222no—
1304C22⋊C4—222no—
1305C22⋊C4—222no—
1306C22⋊C4—222no—
1307C22⋊C4—441no—
1308C22⋊C4—441no—
1309C22⋊C4—441no—
1310C22⋊C4—441no—
1311C22⋊C4—441no—
1312C22⋊C4—441no—
1313C22⋊C4—441no—
1314C22⋊C4—441no—
1315C22⋊C4—441no—
1316C22⋊C4—441no—
1317C22⋊C4—441no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4—441no—
1323C22⋊C4—441no—
1324C22⋊C4—441no—
1325C22⋊C4—441no—
1326C22⋊C4—441no—
1327C22⋊C4—441no—
1328C22⋊C4—441no—
1329C22⋊C4—441no—
1330C22⋊C4—441no—
1331C22⋊C4—441no—
1332C22⋊C4—441no—
1333C22⋊C4—441no—
1334C42—41no—
1335C42—41no—
1336C42—222no—
1337C42—222no—
1338C42—222no—
1339C42—222no—
1340C42—222no—
1341C42—441no—
1342C42—441no—
1343C42—441no—
1344C42—441no—
1345C42—441no—
1346C42—441no—
1347C11#3703811yescharacteristic, complemented, Sylow
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—112no—
1377C23—221no—
1378C23—221no—
1379C23—221no—
1380C23—221no—
1381C23—221no—
1382C23—221no—
1383C23—221no—
1384C23—221no—
1385C23—221no—
1386C23—221no—
1387C23—221no—
1388C23—221no—
1389C23—221no—
1390C23—444no—
1391C23—882no—
1392C23—882no—
1393C23—882no—
1394C23—882no—
1395C23—882no—
1396C23—882no—
1397C23C24×D1111yescharacteristic
1398Q8—444no—
1399Q8—882no—
1400Q8—882no—
1401D4—82no—
1402D4—82no—
1403D4—82no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—444no—
1408D4—444no—
1409D4—882no—
1410D4—882no—
1411D4—882no—
1412D4—882no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—82no—
1445C2×C4—112no—
1446C2×C4—112no—
1447C2×C4—112no—
1448C2×C4—221no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—882no—
1488C2×C4—882no—
1489C2×C4—882no—
1490C2×C4—882no—
1491C2×C4#6703712yes—
1492C2×C4#41×D1112yes—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—222no—
1522C22—222no—
1523C22—222no—
1524C22—441no—
1525C22—441no—
1526C22—441no—
1527C22—441no—
1528C22—441no—
1529C22—441no—
1530C22—441no—
1531C22—441no—
1532C22—441no—
1533C22—441no—
1534C22—441no—
1535C22—888no—
1536C22C2×#6703711yescharacteristic
1537C22C2×#41×D1111yescharacteristic
1538C22#1062345311yescharacteristic
1539C22D11×H(5,𝔽2)11yescharacteristic
1540C22D11×H(5,𝔽2)11yescharacteristic
1541C22#1062345511yescharacteristic
1542C22#1062345511yescharacteristic
1543C4—22no—
1544C4—22no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—222no—
1555C4—222no—
1556C4—222no—
1557C4—441no—
1558C4—441no—
1559C4—441no—
1560C4—441no—
1561C4—441no—
1562C4—441no—
1563C4—441no—
1564C4—441no—
1565C4—441no—
1566C4—441no—
1567C4—441no—
1568C2—81no—
1569C2—81no—
1570C2—81no—
1571C2—81no—
1572C2—442no—
1573C2—881no—
1574C2#1308203011yescharacteristic
1575C2#1308255411yescharacteristic
1576C2#1308256911yescharacteristic
1577C2#1308298111yescharacteristic
1578C2#1308312811yescharacteristic
1579C2#1308313411yescharacteristic
1580C2#1308328811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2661C2
hypercenter#2661D11
hypocenterC11#37038
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2661

Complements

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

NH ≅ G/Ntype
1. #13076987C2semidirect
2. #13076985C2semidirect
3. #13076555C2semidirect
4. #13076236C2semidirect
5. #13075988C2semidirect
6. #13075931C2semidirect
7. #13075914C2semidirect
8. #13075656C2semidirect
9. #13075619C2semidirect
10. #13075389C2semidirect
11. #13075381C2semidirect
12. #13075366C2semidirect
13. #13075364C2semidirect
14. #13075311C2semidirect
15. #13075280C2semidirect
16. #13074943C2semidirect
17. #13074843C2semidirect
18. #13074841C2semidirect
19. #13074673C2semidirect
20. #13073726C2semidirect
21. #13073689C2semidirect
22. #13072748C2semidirect
23. #13072574C2semidirect
24. #13072543C2semidirect
25. #13072513C2semidirect
26. #13072411C2semidirect
27. #13072075C2semidirect
28. #13071423C2semidirect
29. #13071275C2semidirect
30. C4×#66938C2semidirect
31. C11×#2661C2semidirect
33. C2×C11×#121C22semidirect
39. C2×#66989C22semidirect
41. C2×#66988C22semidirect
44. C2×#66943C22semidirect
45. C2×#66942C22semidirect
52. C2×C4×Dic22C22semidirect
53. C11×#398C22semidirect
55. C11×#394C22semidirect
56. C11×#394C22semidirect
57. C11×#394C22semidirect
63. C11×#388C22semidirect
64. C11×#388C22semidirect
65. C4×C11×C22⋊C4C22semidirect
75. #10622835C22semidirect
78. #10622834C22semidirect
80. #10622833C22semidirect
81. #10622833C22semidirect
83. #10622823C22semidirect
84. C4×C22⋊Dic11C22semidirect
94. #10622599C22semidirect
95. #10622596C22semidirect
96. #10622592C22semidirect
97. #10622591C22semidirect
98. #10622591C22semidirect
99. C4⋊C4×Dic11C22semidirect
100. #10622587C22semidirect
101. #10622585C22semidirect
122. #10622566C22semidirect
124. #10622565C22semidirect
128. #10622564C22semidirect
129. #10622564C22semidirect
130. #10622564C22semidirect
131. #10622564C22semidirect
132. #10622563C22semidirect
133. #10622563C22semidirect
134. #10622562C22semidirect
136. #10622561C22semidirect
139. #10622560C22semidirect
140. #10622560C22semidirect
141. #10622559C22semidirect
145. #10622558C22semidirect
146. #10622558C22semidirect
147. #10622558C22semidirect
150. #10622557C22semidirect
151. #10622557C22semidirect
152. #10622557C22semidirect
153. #10622557C22semidirect
154. #10622555C22semidirect
155. C22⋊C4×Dic11C22semidirect
160. #10622546C22semidirect
161. C42×Dic11C22semidirect
162. #10622542C22semidirect
175. C11⋊#401C22semidirect
176. #10622270C22semidirect
177. #10622268C22semidirect
178. #10622265C22semidirect
179. #10622264C22semidirect
180. #10622263C22semidirect
181. #10622260C22semidirect
182. #10622259C22semidirect
183. #10622259C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
576. #2661D11semidirect
747. C2×#121C2×D11semidirect
762. #398C2×D11semidirect
787. #394C2×D11semidirect
788. #394C2×D11semidirect
789. #394C2×D11semidirect
852. #388C2×D11semidirect
853. #388C2×D11semidirect
887. C4×C22⋊C4C2×D11semidirect
1347. C11#37038semidirect

Maximal subgroups

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

subgroupindex
#130769872
#130769852
#130765552
#130762362
#130759882
#130759312
#130759142
#130756562
#130756192
#130753892
#130753812
#130753662
#130753642
#130753112
#130752802
#130749432
#130748432
#130748412
#130746732
#130737262
#130736892
#130727482
#130725742
#130725432
#130725132
#130724112
#130720752
#130714232
#130712752
C4×#669382
C11×#26612
#3703811