Finite Group Databasebeta

← #14960986

Subgroups — #14960986

Order 2816.

2130 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076899C211yesmaximal, characteristic, complemented
2#13076897C211yesmaximal, characteristic, complemented
3#13075760C211yesmaximal, characteristic, complemented
4#13075751C211yesmaximal, characteristic, complemented
5#13075748C211yesmaximal, characteristic, complemented
6#13075722C211yesmaximal, characteristic, complemented
7#13075715C211yesmaximal, characteristic, complemented
8#13075711C211yesmaximal, characteristic, complemented
9#13075710C211yesmaximal, characteristic, complemented
10#13075205C211yesmaximal, characteristic, complemented
11#13075203C211yesmaximal, characteristic, complemented
12#13075203C211yesmaximal, characteristic, complemented
13#13075200C211yesmaximal, characteristic, complemented
14#13075059C211yesmaximal, characteristic, complemented
15#13075055C211yesmaximal, characteristic, complemented
16#13075054C211yesmaximal, characteristic, complemented
17#13075050C211yesmaximal, characteristic, complemented
18#13074719C211yesmaximal, characteristic, complemented
19#13074587C211yesmaximal, characteristic, complemented
20#13072373C211yesmaximal, characteristic, complemented
21#13072367C211yesmaximal, characteristic, complemented
22#13072367C211yesmaximal, characteristic, complemented
23#13072365C211yesmaximal, characteristic, complemented
24#13072157C211yesmaximal, characteristic, complemented
25#13072151C211yesmaximal, characteristic, complemented
26#13072147C211yesmaximal, characteristic, complemented
27#13072145C211yesmaximal, characteristic, complemented
28#13071315C211yesmaximal, characteristic, complemented
29#13071313C211yesmaximal, characteristic, complemented
30D11×#381C211yesmaximal, characteristic, complemented
31C11×#2743C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×#66992C2211yescharacteristic
34C2×#66991C2211yescharacteristic
35C2×#66990C2211yescharacteristic
36C2×#66983C2211yescharacteristic
37C2×#66983C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C2×#66948C2211yescharacteristic
40C2×#66948C2211yescharacteristic
41C2×#66948C2211yescharacteristic
42C2×#66948C2211yescharacteristic
43C2×#66948C2211yescharacteristic
44C2×#66946C2211yescharacteristic
45C2×#66946C2211yescharacteristic
46C2×#66937C2211yescharacteristic
47C2×#66937C2211yescharacteristic
48C2×#66937C2211yescharacteristic
49C2×#66937C2211yescharacteristic
50C2×#66937C2211yescharacteristic
51C2×#66935C2211yescharacteristic
52C2×#66935C2211yescharacteristic
53C2×#66935C2211yescharacteristic
54C2×C22⋊C4×D11C2211yescharacteristic
55C2×C22⋊C4×D11C2211yescharacteristic
56C2×C4×D44C2211yescharacteristic
57C11×#400C2211yescharacteristic, complemented
58C11×#400C2211yescharacteristic, complemented
59C11×#400C2211yescharacteristic, complemented
60C11×#399C2211yescharacteristic, complemented
61C11×#396C2211yescharacteristic
62C11×#394C2211yescharacteristic
63C11×#388C2211yescharacteristic
64C11×#388C2211yescharacteristic, complemented
65C11×#387C2211yescharacteristic, complemented
66C11×#386C2211yescharacteristic
67C11×#386C2211yescharacteristic
68C11×#385C2211yescharacteristic, complemented
69C11×#381C2211yescharacteristic
70C11×#381C2211yescharacteristic, complemented
71C11×#380C2211yescharacteristic
72#10622836C2211yescharacteristic
73#10622826C2211yescharacteristic
74#10622826C2211yescharacteristic, complemented
75#10622826C2211yescharacteristic, complemented
76#10622824C2211yescharacteristic
77#10622607C2211yescharacteristic
78#10622607C2211yescharacteristic
79#10622606C2211yescharacteristic, complemented
80#10622606C2211yescharacteristic, complemented
81#10622606C2211yescharacteristic, complemented
82#10622605C2211yescharacteristic, complemented
83#10622605C2211yescharacteristic, complemented
84#10622605C2211yescharacteristic, complemented
85#10622604C2211yescharacteristic
86#10622603C2211yescharacteristic
87#10622602C2211yescharacteristic
88#10622602C2211yescharacteristic, complemented
89#10622602C2211yescharacteristic, complemented
90#10622600C2211yescharacteristic
91#10622600C2211yescharacteristic
92#10622599C2211yescharacteristic, complemented
93#10622597C2211yescharacteristic, complemented
94#10622594C2211yescharacteristic, complemented
95#10622591C2211yescharacteristic, complemented
96#10622591C2211yescharacteristic, complemented
97#10622591C2211yescharacteristic, complemented
98#10622574C2211yescharacteristic
99#10622574C2211yescharacteristic
100#10622574C2211yescharacteristic, complemented
101#10622573C2211yescharacteristic
102#10622573C2211yescharacteristic
103#10622573C2211yescharacteristic, complemented
104#10622573C2211yescharacteristic, complemented
105#10622573C2211yescharacteristic, complemented
106#10622572C2211yescharacteristic
107#10622572C2211yescharacteristic
108#10622572C2211yescharacteristic, complemented
109#10622571C2211yescharacteristic
110#10622571C2211yescharacteristic
111#10622570C2211yescharacteristic
112#10622570C2211yescharacteristic
113#10622570C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic, complemented
119#10622569C2211yescharacteristic, complemented
120#10622566C2211yescharacteristic, complemented
121#10622565C2211yescharacteristic, complemented
122#10622564C2211yescharacteristic, complemented
123#10622561C2211yescharacteristic
124#10622558C2211yescharacteristic
125#10622556C2211yescharacteristic
126#10622556C2211yescharacteristic
127#10622555C2211yescharacteristic
128#10622553C2211yescharacteristic, complemented
129#10622552C2211yescharacteristic
130#10622546C2211yescharacteristic, complemented
131#10622288C2211yescharacteristic, complemented
132#10622287C2211yescharacteristic, complemented
133#10622287C2211yescharacteristic, complemented
134#10622285C2211yescharacteristic
135#10622285C2211yescharacteristic
136#10622285C2211yescharacteristic, complemented
137#10622285C2211yescharacteristic, complemented
138#10622284C2211yescharacteristic
139#10622284C2211yescharacteristic, complemented
140#10622283C2211yescharacteristic, complemented
141#10622283C2211yescharacteristic, complemented
142#10622283C2211yescharacteristic, complemented
143#10622282C2211yescharacteristic
144#10622282C2211yescharacteristic, complemented
145#10622282C2211yescharacteristic, complemented
146#10622281C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622281C2211yescharacteristic, complemented
150#10622280C2211yescharacteristic
151#10622280C2211yescharacteristic
152#10622278C2211yescharacteristic
153#10622278C2211yescharacteristic
154#10622278C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622278C2211yescharacteristic
157#10622278C2211yescharacteristic
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic, complemented
164#10622278C2211yescharacteristic, complemented
165#10622278C2211yescharacteristic, complemented
166#10622278C2211yescharacteristic, complemented
167#10622277C2211yescharacteristic
168#10622277C2211yescharacteristic
169#10622277C2211yescharacteristic
170#10622277C2211yescharacteristic
171#10622277C2211yescharacteristic, complemented
172#10622277C2211yescharacteristic, complemented
173#10622277C2211yescharacteristic, complemented
174D11×#95C2211yescharacteristic
175D11×#95C2211yescharacteristic
176D11×#95C2211yescharacteristic
177D11×#95C2211yescharacteristic
178#10622274C2211yescharacteristic, complemented
179#10622272C2211yescharacteristic, complemented
180#10622272C2211yescharacteristic, complemented
181#10622271C2211yescharacteristic, complemented
182#10622271C2211yescharacteristic, complemented
183#10622270C2211yescharacteristic, complemented
184#10622270C2211yescharacteristic, complemented
185#10622267C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×D44C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×D44C2311yescharacteristic
209C22×C4×D11—24no—
210C22×C4×D11—42no—
211C22×C4×D11—42no—
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247#66992—42no—
248#66991—42no—
249#66990—42no—
250#66983—42no—
251#66983—42no—
252C4×C22⋊D11—42no—
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×(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×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
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
307#66948—24no—
308#66948—42no—
309#66948—42no—
310#66948—42no—
311#66948—42no—
312#66946—42no—
313#66946—42no—
314#66937—24no—
315#66937—42no—
316#66937—42no—
317#66937—42no—
318#66937—42no—
319#66935—42no—
320#66935—42no—
321#66935—42no—
322C22⋊C4×D11—42no—
323C22⋊C4×D11—42no—
324C4×D44—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
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369#36731—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C24×C11C2411yescharacteristic
372C23×D11—22no—
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—22no—
377C23×D11—41no—
378C23×D11—41no—
379C23×D11C2411yescharacteristic
380C23×D11C2411yescharacteristic
381C23×D11C2411yescharacteristic
382C23×D11C2411yescharacteristic
383C23×D11C2411yescharacteristic
384C2×D4×C11—22no—
385C2×D4×C11—41no—
386C2×D4×C11—41no—
387C22×C4×C11—22no—
388C22×C4×C11—22no—
389C22×C4×C11—41no—
390C22×C4×C11—41no—
391C22×C4×C11—41no—
392C22×C4×C11—41no—
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C2×C22⋊D11—22no—
407C2×C22⋊D11—22no—
408C2×C22⋊D11—22no—
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11—22no—
412C2×C22⋊D11—22no—
413C2×C22⋊D11—22no—
414C2×C22⋊D11—41no—
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—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C22×Dic11—22no—
431C22×Dic11—22no—
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
444C2×D44—22no—
445C2×D44—22no—
446C2×D44—22no—
447C2×D44—22no—
448C2×D44—22no—
449C2×D44—22no—
450C2×D44—22no—
451C2×D44—22no—
452C2×D44—22no—
453C2×D44—22no—
454C2×D44—22no—
455C2×D44—22no—
456C2×D44—22no—
457C2×D44—41no—
458C2×D44—41no—
459C2×D44—41no—
460C2×D44—41no—
461C2×D44—41no—
462C2×D44—41no—
463C2×D44—41no—
464C2×D44—41no—
465C2×D44—41no—
466C2×D44—41no—
467C2×D44—41no—
468C2×D44—41no—
469C2×D44—41no—
470C2×D44—41no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—22no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—41no—
487C2×C4×D11—41no—
488C2×C4×D11—41no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—41no—
495C2×C4×D11—41no—
496C2×C4×D11—41no—
497C2×C4×D11—41no—
498C2×C4×D11—41no—
499C2×C4×D11—41no—
500C2×C4×D11—41no—
501C2×C4×D11—41no—
502C2×C4×D11—41no—
503C2×C4×D11—416no—
504C2×C4×D11#4114yes—
505C11×C4⋊C4—22no—
506C11×C4⋊C4—41no—
507C11×C4⋊C4—41no—
508C11×C4⋊C4—41no—
509C11×C4⋊C4—41no—
510C11×C4⋊C4—41no—
511C11×C4⋊C4—41no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—22no—
514C11×C22⋊C4—41no—
515C11×C22⋊C4—41no—
516C11×C22⋊C4—41no—
517C11×C22⋊C4—41no—
518C11×C22⋊C4—41no—
519C11×C22⋊C4—41no—
520C11×C22⋊C4—41no—
521C11×C22⋊C4—41no—
522C42×C11—41no—
523C22⋊Dic11—22no—
524C22⋊Dic11—41no—
525C22⋊Dic11—41no—
526C22⋊Dic11—41no—
527C22⋊Dic11—41no—
528C22⋊Dic11—41no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560(C2×D11)⋊C4—41no—
561(C2×D11)⋊C4—41no—
562(C2×D11)⋊C4—41no—
563(C2×D11)⋊C4—41no—
564(C2×D11)⋊C4—41no—
565C4⋊Dic11—41no—
566C4⋊Dic11—41no—
567C4⋊Dic11—41no—
568C4⋊Dic11—41no—
569C4⋊Dic11—41no—
570Dic11⋊C4—22no—
571Dic11⋊C4—41no—
572Dic11⋊C4—41no—
573Dic11⋊C4—41no—
574Dic11⋊C4—41no—
575Dic11⋊C4—41no—
576Dic11⋊C4—41no—
577Dic11⋊C4—41no—
578Dic11⋊C4—41no—
579Dic11⋊C4—41no—
580C4×Dic11—41no—
581C4×Dic11—41no—
582C4×Dic11—41no—
583#2847—111no—
584#2847—111no—
585#2743—111no—
586#2743—111no—
587#2743—111no—
588#2743D1111yescharacteristic, complemented
589#2740—111no—
590#2740—111no—
591#2740—111no—
592#2740—111no—
593#2699—111no—
594#2699—111no—
595#2699—111no—
596#2699—111no—
597#2688—111no—
598#2688—111no—
599#2688—111no—
600#2688—111no—
601#2656—111no—
602#2646—111no—
603#2444—111no—
604#2444—111no—
605#2444—111no—
606#2444—111no—
607#2424—111no—
608#2424—111no—
609#2424—111no—
610#2424—111no—
611#2325—111no—
612#2325—111no—
613C2×#381—111no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11H(5,𝔽2)12yes—
628C23×C11C2511yescharacteristic
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—28no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—44no—
662C22×D11—44no—
663C22×D11—44no—
664C22×D11—44no—
665C22×D11—44no—
666C22×D11—44no—
667C22×D11C2×#4112yes—
668C22×D11H(5,𝔽2)12yes—
669C22×D11H(5,𝔽2)12yes—
670C22×D11H(5,𝔽2)12yes—
671D4×C11—82no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—44no—
711C2×C4×C11—82no—
712C2×C4×C11C2×#4112yes—
713C22⋊D11—44no—
714C22⋊D11—82no—
715C22⋊D11—82no—
716C22⋊D11—82no—
717C22⋊D11—82no—
718C22⋊D11—82no—
719C22⋊D11—82no—
720C22⋊D11—82no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—44no—
754C2×Dic11C2×#4112yes—
755D44—44no—
756D44—44no—
757D44—44no—
758D44—82no—
759D44—82no—
760D44—82no—
761D44—82no—
762D44—82no—
763D44—82no—
764C4×D11—44no—
765C4×D11—44no—
766C4×D11—44no—
767C4×D11—44no—
768C4×D11—82no—
769C4×D11—82no—
770C4×D11—82no—
771C4×D11—82no—
772C4×D11—82no—
773C4×D11—82no—
774C4×D11—82no—
775C24×C4—111no—
776C2×#121—111no—
777C2×#121—111no—
778C2×#121—111no—
779C2×#121—111no—
780C2×#121—111no—
781C2×#121—111no—
782C2×#121—111no—
783C2×#121—111no—
784C2×#121—111no—
785C2×#121—111no—
786C2×#121—111no—
787C2×#121—111no—
788C2×#121—111no—
789C2×#121—111no—
790C2×#120—111no—
791C2×#120—111no—
792C2×#120—111no—
793C2×#120—111no—
794C2×C4×D4—111no—
795C2×C4×D4—111no—
796C2×C4×D4—111no—
797C2×C4×D4—111no—
798C22×C22⋊C4—111no—
799C22×C22⋊C4—111no—
800#400—111no—
801#400—111no—
802#400—111no—
803#400—111no—
804#400—111no—
805#400C2×D1111yescharacteristic, complemented
806#400C2×D1111yescharacteristic, complemented
807#400C2×D1111yescharacteristic, complemented
808#399—111no—
809#399—111no—
810#399—111no—
811#399C2×D1111yescharacteristic, complemented
812#398—111no—
813#398—111no—
814#398—111no—
815#398—111no—
816#397—111no—
817#397—111no—
818#397—111no—
819#397—111no—
820#397—111no—
821#397—111no—
822#397—111no—
823#397—111no—
824#396—111no—
825#396—111no—
826#396—111no—
827#396C2×D1111yescharacteristic
828#394—111no—
829#394—111no—
830#394—111no—
831#394—111no—
832#394—111no—
833#394—111no—
834#394—111no—
835#394—111no—
836#394—111no—
837#394—111no—
838#394—111no—
839#394C2×D1111yescharacteristic
840#392—111no—
841#392—111no—
842#392—111no—
843#392—111no—
844#392—111no—
845#392—111no—
846#392—111no—
847#392—111no—
848#390—111no—
849#390—111no—
850#390—111no—
851#390—111no—
852#388—111no—
853#388—111no—
854#388—111no—
855#388—111no—
856#388—111no—
857#388—111no—
858#388—111no—
859#388—111no—
860#388—111no—
861#388—111no—
862#388C2×D1111yescharacteristic
863#388C2×D1111yescharacteristic, complemented
864#387—111no—
865#387—111no—
866#387—111no—
867#387—111no—
868#387—111no—
869#387—111no—
870#387—111no—
871#387C2×D1111yescharacteristic, complemented
872#386—111no—
873#386—111no—
874#386—111no—
875#386—111no—
876#386—111no—
877#386—111no—
878#386—111no—
879#386—111no—
880#386—111no—
881#386—111no—
882#386—111no—
883#386—111no—
884#386—111no—
885#386—111no—
886#386—111no—
887#386—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386—111no—
894#386—111no—
895#386—111no—
896#386—111no—
897#386—111no—
898#386C2×D1111yescharacteristic
899#386C2×D1111yescharacteristic
900#385—111no—
901#385—111no—
902#385—111no—
903#385—111no—
904#385—111no—
905#385—111no—
906#385—111no—
907#385C2×D1111yescharacteristic, complemented
908#381—111no—
909#381—111no—
910#381—111no—
911#381—111no—
912#381—111no—
913#381—111no—
914#381—111no—
915#381—111no—
916#381—111no—
917#381—111no—
918#381C2×D1111yescharacteristic
919#381C2×D1111yescharacteristic, complemented
920#380—111no—
921#380—111no—
922#380—111no—
923#380—111no—
924#380—111no—
925#380C2×D1111yescharacteristic
926C2×#95—111no—
927C2×#95—111no—
928C2×#95—111no—
929C2×#95—111no—
930C22×C11—22no—
931C22×C11—22no—
932C22×C11—22no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11C22×#4111yescharacteristic
945C22×C11C2×H(5,𝔽2)11yescharacteristic
946C22×C11C2×H(5,𝔽2)11yescharacteristic
947C22×C11C2×H(5,𝔽2)11yescharacteristic
948C22×C11C2×H(5,𝔽2)11yescharacteristic
949C22×C11#58511yescharacteristic
950C22×C11#58511yescharacteristic
951C2×D11—22no—
952C2×D11—22no—
953C2×D11—22no—
954C2×D11—22no—
955C2×D11—22no—
956C2×D11—22no—
957C2×D11—22no—
958C2×D11—22no—
959C2×D11—22no—
960C2×D11—416no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—41no—
967C2×D11—41no—
968C2×D11—41no—
969C2×D11—41no—
970C2×D11—41no—
971C2×D11—41no—
972C2×D11—41no—
973C2×D11—41no—
974C2×D11—41no—
975C2×D11—41no—
976C2×D11—41no—
977C2×D11—41no—
978C2×D11—41no—
979C2×D11—41no—
980C2×D11—41no—
981C2×D11—41no—
982C2×D11—41no—
983C2×D11—41no—
984C2×D11—41no—
985C2×D11—41no—
986C2×D11#54014yes—
987C4×C11—22no—
988C4×C11—41no—
989C4×C11—41no—
990C4×C11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996C4×C11—41no—
997C4×C11—41no—
998C4×C11—41no—
999C4×C11—41no—
1000Dic11—22no—
1001Dic11—41no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009Dic11—41no—
1010Dic11—41no—
1011C25—111no—
1012C22×D4—111no—
1013C22×D4—111no—
1014C22×D4—111no—
1015C22×D4—111no—
1016C22×D4—111no—
1017C22×D4—111no—
1018C22×D4—111no—
1019C22×D4—111no—
1020C22×D4—111no—
1021C22×D4—111no—
1022C22×D4—111no—
1023C22×D4—111no—
1024C22×D4—111no—
1025C22×D4—111no—
1026C22×D4—111no—
1027C22×D4—111no—
1028C22×D4—111no—
1029C22×D4C22×D1111yescharacteristic
1030C23×C4—111no—
1031C23×C4—111no—
1032C23×C4—111no—
1033C23×C4—111no—
1034C23×C4—111no—
1035C23×C4—111no—
1036C23×C4—111no—
1037C23×C4—111no—
1038C23×C4—111no—
1039C23×C4—111no—
1040C23×C4—111no—
1041C23×C4—111no—
1042C23×C4—224no—
1043C23×C4—442no—
1044C23×C4—442no—
1045C23×C4C22×D1111yescharacteristic
1046C23×C4C22×D1111yescharacteristic
1047#121—224no—
1048#121—224no—
1049#121—442no—
1050#121—442no—
1051#121—442no—
1052#121—442no—
1053#121—442no—
1054#121—442no—
1055#121—442no—
1056#121—442no—
1057#121—442no—
1058#121—442no—
1059#121—442no—
1060#121—442no—
1061#120—442no—
1062#120—442no—
1063#120—442no—
1064#120—442no—
1065C4×D4—442no—
1066C4×D4—442no—
1067C4×D4—442no—
1068C4×D4—442no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4C22×D1111yescharacteristic
1085C2×C4⋊C4C22×D1111yescharacteristic
1086C2×C4⋊C4C22×D1111yescharacteristic
1087C2×C4⋊C4C22×D1111yescharacteristic
1088C2×C4⋊C4C22×D1111yescharacteristic
1089C2×C4⋊C4C22×D1111yescharacteristic
1090C2×C4⋊C4C22×D1111yescharacteristic
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—442no—
1134C2×C22⋊C4—442no—
1135C2×C22⋊C4C22×D1111yescharacteristic
1136C2×C22⋊C4C22×D1111yescharacteristic
1137C2×C22⋊C4C22×D1111yescharacteristic
1138C2×C22⋊C4C22×D1111yescharacteristic
1139C2×C22⋊C4C22×D1111yescharacteristic
1140C2×C22⋊C4C22×D1111yescharacteristic
1141C2×C22⋊C4C22×D1111yescharacteristic
1142C2×C22⋊C4C22×D1111yescharacteristic
1143C2×C22⋊C4C22×D1111yescharacteristic
1144C2×C22⋊C4C22×D1111yescharacteristic
1145C2×C42—111no—
1146C2×C42—111no—
1147C2×C42—111no—
1148C2×C42C22×D1111yescharacteristic
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95C22×D1111yescharacteristic
1180#95C22×D1111yescharacteristic
1181#95C22×D1111yescharacteristic
1182#95C22×D1111yescharacteristic
1183#95C22×D1111yescharacteristic
1184#95C22×D1111yescharacteristic
1185#95C22×D1111yescharacteristic
1186#95C22×D1111yescharacteristic
1187#95C22×D1111yescharacteristic
1188#95C22×D1111yescharacteristic
1189#95C22×D1111yescharacteristic
1190#95C22×D1111yescharacteristic
1191#95C22×D1111yescharacteristic
1192#95C22×D1111yescharacteristic
1193C2×C11—42no—
1194C2×C11—81no—
1195C2×C11C2×#54011yescharacteristic
1196C2×C11#349011yescharacteristic
1197C2×C11#349311yescharacteristic
1198C2×C11#353411yescharacteristic
1199C2×C11#353411yescharacteristic
1200C2×C11#353411yescharacteristic
1201C2×C11#353411yescharacteristic
1202D11—24no—
1203D11—42no—
1204D11—81no—
1205D11—81no—
1206D11—81no—
1207C24—111no—
1208C24—111no—
1209C24—111no—
1210C24—111no—
1211C24—111no—
1212C24—222no—
1213C24—222no—
1214C24—222no—
1215C24—222no—
1216C24—222no—
1217C24—441no—
1218C24—441no—
1219C24C23×D1111yescharacteristic
1220C24C23×D1111yescharacteristic
1221C2×D4—22no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—222no—
1225C2×D4—222no—
1226C2×D4—222no—
1227C2×D4—222no—
1228C2×D4—222no—
1229C2×D4—222no—
1230C2×D4—222no—
1231C2×D4—222no—
1232C2×D4—222no—
1233C2×D4—222no—
1234C2×D4—222no—
1235C2×D4—222no—
1236C2×D4—222no—
1237C2×D4—222no—
1238C2×D4—222no—
1239C2×D4—222no—
1240C2×D4—222no—
1241C2×D4—222no—
1242C2×D4—222no—
1243C2×D4—222no—
1244C2×D4—222no—
1245C2×D4—441no—
1246C2×D4—441no—
1247C2×D4—441no—
1248C2×D4—441no—
1249C2×D4—441no—
1250C2×D4—441no—
1251C2×D4—441no—
1252C2×D4—441no—
1253C2×D4—441no—
1254C2×D4—441no—
1255C2×D4—441no—
1256C2×D4—441no—
1257C2×D4—441no—
1258C2×D4—441no—
1259C2×D4—441no—
1260C2×D4—441no—
1261C2×D4—441no—
1262C2×D4—441no—
1263C2×D4—441no—
1264C2×D4—441no—
1265C2×D4—441no—
1266C2×D4—441no—
1267C2×D4—441no—
1268C2×D4—441no—
1269C2×D4—441no—
1270C2×D4—441no—
1271C2×D4—441no—
1272C2×D4—441no—
1273C2×D4—441no—
1274C2×D4—441no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—111no—
1282C22×C4—114no—
1283C22×C4—111no—
1284C22×C4—111no—
1285C22×C4—111no—
1286C22×C4—111no—
1287C22×C4—111no—
1288C22×C4—111no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—111no—
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—441no—
1305C22×C4—441no—
1306C22×C4—441no—
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—4416no—
1328C22×C4—441no—
1329C22×C4C23×D1111yescharacteristic
1330C22×C4C23×D1111yescharacteristic
1331C22×C4C23×D1111yescharacteristic
1332C22×C4C23×D1111yescharacteristic
1333C22×C4C23×D1111yescharacteristic
1334C22×C4C23×D1111yescharacteristic
1335C22×C4C23×D1111yescharacteristic
1336C22×C4C23×D1111yescharacteristic
1337C22×C4C23×D1111yescharacteristic
1338C22×C4C23×D1111yescharacteristic
1339C22×C4C23×D1111yescharacteristic
1340C22×C4C23×D1111yescharacteristic
1341C22×C4C23×D1111yescharacteristic
1342C4⋊C4—22no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—222no—
1350C4⋊C4—441no—
1351C4⋊C4—441no—
1352C4⋊C4—441no—
1353C4⋊C4—441no—
1354C4⋊C4—441no—
1355C4⋊C4—441no—
1356C4⋊C4—441no—
1357C4⋊C4—441no—
1358C4⋊C4—441no—
1359C4⋊C4—441no—
1360C4⋊C4—441no—
1361C4⋊C4—441no—
1362C4⋊C4—441no—
1363C4⋊C4—441no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—222no—
1375C22⋊C4—222no—
1376C22⋊C4—222no—
1377C22⋊C4—222no—
1378C22⋊C4—222no—
1379C22⋊C4—222no—
1380C22⋊C4—222no—
1381C22⋊C4—222no—
1382C22⋊C4—222no—
1383C22⋊C4—222no—
1384C22⋊C4—441no—
1385C22⋊C4—441no—
1386C22⋊C4—441no—
1387C22⋊C4—441no—
1388C22⋊C4—441no—
1389C22⋊C4—441no—
1390C22⋊C4—441no—
1391C22⋊C4—441no—
1392C22⋊C4—441no—
1393C22⋊C4—441no—
1394C22⋊C4—441no—
1395C22⋊C4—441no—
1396C22⋊C4—441no—
1397C22⋊C4—441no—
1398C22⋊C4—441no—
1399C22⋊C4—441no—
1400C22⋊C4—441no—
1401C22⋊C4—441no—
1402C22⋊C4—441no—
1403C22⋊C4—441no—
1404C22⋊C4—441no—
1405C22⋊C4—441no—
1406C22⋊C4—441no—
1407C22⋊C4—441no—
1408C22⋊C4—441no—
1409C22⋊C4—441no—
1410C22⋊C4—441no—
1411C22⋊C4—441no—
1412C22⋊C4—441no—
1413C22⋊C4—441no—
1414C22⋊C4—441no—
1415C22⋊C4—441no—
1416C42—41no—
1417C42—441no—
1418C42—441no—
1419C42—441no—
1420C11#3673111yescharacteristic, complemented, Sylow
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—112no—
1435C23—112no—
1436C23—112no—
1437C23—112no—
1438C23—228no—
1439C23—221no—
1440C23—221no—
1441C23—221no—
1442C23—221no—
1443C23—221no—
1444C23—221no—
1445C23—221no—
1446C23—221no—
1447C23—221no—
1448C23—221no—
1449C23—221no—
1450C23—221no—
1451C23—221no—
1452C23—221no—
1453C23—221no—
1454C23—221no—
1455C23—221no—
1456C23—221no—
1457C23—221no—
1458C23—221no—
1459C23—221no—
1460C23—221no—
1461C23—221no—
1462C23—221no—
1463C23—221no—
1464C23—221no—
1465C23—221no—
1466C23—221no—
1467C23—221no—
1468C23—221no—
1469C23—221no—
1470C23—444no—
1471C23—444no—
1472C23—444no—
1473C23—444no—
1474C23—444no—
1475C23—444no—
1476C23#6704212yes—
1477C23C24×D1111yescharacteristic
1478D4—82no—
1479D4—444no—
1480D4—444no—
1481D4—444no—
1482D4—444no—
1483D4—882no—
1484D4—882no—
1485D4—882no—
1486D4—882no—
1487D4—882no—
1488D4—882no—
1489D4—882no—
1490D4—882no—
1491D4—882no—
1492D4—882no—
1493D4—882no—
1494D4—882no—
1495D4—882no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—44no—
1535C2×C4—82no—
1536C2×C4—112no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—444no—
1570C2×C4—444no—
1571C2×C4—444no—
1572C2×C4—444no—
1573C2×C4—444no—
1574C2×C4—882no—
1575C2×C4—882no—
1576C2×C4—882no—
1577C2×C4—882no—
1578C2×C4—882no—
1579C2×C4—882no—
1580C2×C4—882no—
1581C2×C4#41×D1112yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—114no—
1597C22—222no—
1598C22—222no—
1599C22—222no—
1600C22—222no—
1601C22—222no—
1602C22—222no—
1603C22—222no—
1604C22—222no—
1605C22—222no—
1606C22—4416no—
1607C22—441no—
1608C22—441no—
1609C22—441no—
1610C22—441no—
1611C22—441no—
1612C22—441no—
1613C22—441no—
1614C22—441no—
1615C22—441no—
1616C22—441no—
1617C22—441no—
1618C22—441no—
1619C22—441no—
1620C22—441no—
1621C22—441no—
1622C22—441no—
1623C22—441no—
1624C22—441no—
1625C22—441no—
1626C22—441no—
1627C22—441no—
1628C22—441no—
1629C22—441no—
1630C22—441no—
1631C22—441no—
1632C22C2×#41×D1111yescharacteristic
1633C22C2×#6704211yescharacteristic
1634C22#1062345311yescharacteristic
1635C22D11×H(5,𝔽2)11yescharacteristic
1636C22D11×H(5,𝔽2)11yescharacteristic
1637C22D11×H(5,𝔽2)11yescharacteristic
1638C22#1062345711yescharacteristic
1639C4—22no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—222no—
1653C4—441no—
1654C4—441no—
1655C4—441no—
1656C4—441no—
1657C4—441no—
1658C4—441no—
1659C4—441no—
1660C4—441no—
1661C4—441no—
1662C4—441no—
1663C2—42no—
1664C2—81no—
1665C2—224no—
1666C2—442no—
1667C2—881no—
1668C2—881no—
1669C2—881no—
1670C2D11×#54011yescharacteristic
1671C2#1308230011yescharacteristic
1672C2#1308233411yescharacteristic
1673C2#1308280411yescharacteristic
1674C2#1308280511yescharacteristic
1675C2#1308280811yescharacteristic
1676C2#1308280911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2743C2
hypercenter#2743D11
hypocenterC11#36731
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2743

Complements

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

NH ≅ G/Ntype
1. #13076899C2semidirect
2. #13076897C2semidirect
3. #13075760C2semidirect
4. #13075751C2semidirect
5. #13075748C2semidirect
6. #13075722C2semidirect
7. #13075715C2semidirect
8. #13075711C2semidirect
9. #13075710C2semidirect
10. #13075205C2semidirect
11. #13075203C2semidirect
12. #13075203C2semidirect
13. #13075200C2semidirect
14. #13075059C2semidirect
15. #13075055C2semidirect
16. #13075054C2semidirect
17. #13075050C2semidirect
18. #13074719C2semidirect
19. #13074587C2semidirect
20. #13072373C2semidirect
21. #13072367C2semidirect
22. #13072367C2semidirect
23. #13072365C2semidirect
24. #13072157C2semidirect
25. #13072151C2semidirect
26. #13072147C2semidirect
27. #13072145C2semidirect
28. #13071315C2semidirect
29. #13071313C2semidirect
30. D11×#381C2semidirect
31. C11×#2743C2semidirect
57. C11×#400C22semidirect
58. C11×#400C22semidirect
59. C11×#400C22semidirect
60. C11×#399C22semidirect
64. C11×#388C22semidirect
65. C11×#387C22semidirect
68. C11×#385C22semidirect
70. C11×#381C22semidirect
74. #10622826C22semidirect
75. #10622826C22semidirect
79. #10622606C22semidirect
80. #10622606C22semidirect
81. #10622606C22semidirect
82. #10622605C22semidirect
83. #10622605C22semidirect
84. #10622605C22semidirect
88. #10622602C22semidirect
89. #10622602C22semidirect
92. #10622599C22semidirect
93. #10622597C22semidirect
94. #10622594C22semidirect
95. #10622591C22semidirect
96. #10622591C22semidirect
97. #10622591C22semidirect
100. #10622574C22semidirect
103. #10622573C22semidirect
104. #10622573C22semidirect
105. #10622573C22semidirect
108. #10622572C22semidirect
118. #10622569C22semidirect
119. #10622569C22semidirect
120. #10622566C22semidirect
121. #10622565C22semidirect
122. #10622564C22semidirect
128. #10622553C22semidirect
130. #10622546C22semidirect
131. #10622288C22semidirect
132. #10622287C22semidirect
133. #10622287C22semidirect
136. #10622285C22semidirect
137. #10622285C22semidirect
139. #10622284C22semidirect
140. #10622283C22semidirect
141. #10622283C22semidirect
142. #10622283C22semidirect
144. #10622282C22semidirect
145. #10622282C22semidirect
149. #10622281C22semidirect
163. #10622278C22semidirect
164. #10622278C22semidirect
165. #10622278C22semidirect
166. #10622278C22semidirect
171. #10622277C22semidirect
172. #10622277C22semidirect
173. #10622277C22semidirect
178. #10622274C22semidirect
179. #10622272C22semidirect
180. #10622272C22semidirect
181. #10622271C22semidirect
182. #10622271C22semidirect
183. #10622270C22semidirect
184. #10622270C22semidirect
185. #10622267C22semidirect
186. #10622265C22semidirect
588. #2743D11semidirect
805. #400C2×D11semidirect
806. #400C2×D11semidirect
807. #400C2×D11semidirect
811. #399C2×D11semidirect
863. #388C2×D11semidirect
871. #387C2×D11semidirect
907. #385C2×D11semidirect
919. #381C2×D11semidirect
1420. C11#36731semidirect

Maximal subgroups

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

subgroupindex
#130768992
#130768972
#130757602
#130757512
#130757482
#130757222
#130757152
#130757112
#130757102
#130752052
#130752032
#130752002
#130750592
#130750552
#130750542
#130750502
#130747192
#130745872
#130723732
#130723672
#130723652
#130721572
#130721512
#130721472
#130721452
#130713152
#130713132
D11×#3812
C11×#27432
#3673111