Finite Group Databasebeta

← #14962188

Subgroups — #14962188

Order 2816.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076934C211yesmaximal, characteristic, complemented
2#13076914C211yesmaximal, characteristic, complemented
3#13076276C211yesmaximal, characteristic, complemented
4#13076275C211yesmaximal, characteristic, complemented
5#13076231C211yesmaximal, characteristic, complemented
6#13076055C211yesmaximal, characteristic, complemented
7#13076039C211yesmaximal, characteristic, complemented
8#13075945C211yesmaximal, characteristic, complemented
9#13075845C211yesmaximal, characteristic, complemented
10#13075753C211yesmaximal, characteristic, complemented
11#13075725C211yesmaximal, characteristic, complemented
12#13075659C211yesmaximal, characteristic, complemented
13#13075654C211yesmaximal, characteristic, complemented
14#13075618C211yesmaximal, characteristic, complemented
15#13075243C211yesmaximal, characteristic, complemented
16#13075002C211yesmaximal, characteristic, complemented
17#13074991C211yesmaximal, characteristic, complemented
18#13074397C211yesmaximal, characteristic, complemented
19#13074363C211yesmaximal, characteristic, complemented
20#13073173C211yesmaximal, characteristic, complemented
21#13072939C211yesmaximal, characteristic, complemented
22#13072361C211yesmaximal, characteristic, complemented
23#13072278C211yesmaximal, characteristic, complemented
24#13072170C211yesmaximal, characteristic, complemented
25#13072007C211yesmaximal, characteristic, complemented
26#13071993C211yesmaximal, characteristic
27#13071945C211yesmaximal, characteristic, complemented
28#13071275C211yesmaximal, characteristic, complemented
29#13071193C211yesmaximal, characteristic, complemented
30D11×#388C211yesmaximal, characteristic, complemented
31C11×#2761C211yesmaximal, characteristic, complemented
32C23×D44C2211yescharacteristic
33C2×#66990C2211yescharacteristic
34C2×#66990C2211yescharacteristic
35C2×#66951C2211yescharacteristic, complemented
36C2×#66950C2211yescharacteristic, complemented
37C2×#66949C2211yescharacteristic, complemented
38C2×#66947C2211yescharacteristic
39C2×#66947C2211yescharacteristic
40C2×C4⋊C4×D11C2211yescharacteristic, complemented
41C2×#66938C2211yescharacteristic, complemented
42C2×#66937C2211yescharacteristic
43C2×#66937C2211yescharacteristic
44C2×#66936C2211yescharacteristic, complemented
45C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
46C2×C22⋊C4×D11C2211yescharacteristic
47C2×C22⋊C4×D11C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C42×D11C2211yescharacteristic, complemented
51C11×#398C2211yescharacteristic, complemented
52C11×#397C2211yescharacteristic, complemented
53C11×#397C2211yescharacteristic, complemented
54C11×#396C2211yescharacteristic
55C11×#396C2211yescharacteristic, complemented
56C11×#394C2211yescharacteristic
57C11×#390C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#388C2211yescharacteristic, complemented
60C11×#387C2211yescharacteristic, complemented
61C11×#387C2211yescharacteristic, complemented
62C11×#386C2211yescharacteristic
63C11×#385C2211yescharacteristic
64C11×#382C2211yescharacteristic, complemented
65C11×#381C2211yescharacteristic
66#10622835C2211yescharacteristic
67#10622833C2211yescharacteristic
68#10622824C2211yescharacteristic
69#10622823C2211yescharacteristic
70#10622823C2211yescharacteristic
71#10622607C2211yescharacteristic, complemented
72#10622607C2211yescharacteristic, complemented
73#10622606C2211yescharacteristic, complemented
74#10622606C2211yescharacteristic, complemented
75#10622606C2211yescharacteristic, complemented
76#10622606C2211yescharacteristic, complemented
77#10622605C2211yescharacteristic, complemented
78#10622605C2211yescharacteristic, complemented
79#10622604C2211yescharacteristic
80#10622604C2211yescharacteristic
81#10622603C2211yescharacteristic, complemented
82#10622603C2211yescharacteristic, complemented
83#10622603C2211yescharacteristic, complemented
84#10622603C2211yescharacteristic, complemented
85#10622603C2211yescharacteristic, complemented
86#10622602C2211yescharacteristic, complemented
87#10622602C2211yescharacteristic, complemented
88#10622602C2211yescharacteristic, complemented
89#10622602C2211yescharacteristic, complemented
90#10622602C2211yescharacteristic, complemented
91#10622600C2211yescharacteristic, complemented
92#10622600C2211yescharacteristic, complemented
93#10622597C2211yescharacteristic, complemented
94#10622596C2211yescharacteristic, complemented
95#10622595C2211yescharacteristic, complemented
96#10622586C2211yescharacteristic, complemented
97#10622574C2211yescharacteristic, complemented
98#10622574C2211yescharacteristic, complemented
99#10622573C2211yescharacteristic
100#10622573C2211yescharacteristic
101#10622572C2211yescharacteristic, complemented
102#10622572C2211yescharacteristic, complemented
103#10622571C2211yescharacteristic, complemented
104#10622571C2211yescharacteristic, complemented
105#10622571C2211yescharacteristic, complemented
106#10622570C2211yescharacteristic, complemented
107#10622570C2211yescharacteristic, complemented
108#10622569C2211yescharacteristic, complemented
109#10622569C2211yescharacteristic, complemented
110#10622569C2211yescharacteristic, complemented
111#10622569C2211yescharacteristic, complemented
112#10622568C2211yescharacteristic
113#10622568C2211yescharacteristic
114#10622568C2211yescharacteristic
115#10622568C2211yescharacteristic
116#10622568C2211yescharacteristic
117#10622568C2211yescharacteristic
118#10622566C2211yescharacteristic
119#10622565C2211yescharacteristic
120#10622564C2211yescharacteristic
121#10622562C2211yescharacteristic
122#10622561C2211yescharacteristic
123#10622561C2211yescharacteristic, complemented
124#10622560C2211yescharacteristic
125#10622558C2211yescharacteristic
126#10622558C2211yescharacteristic
127#10622558C2211yescharacteristic
128#10622558C2211yescharacteristic, complemented
129#10622557C2211yescharacteristic
130#10622556C2211yescharacteristic, complemented
131#10622555C2211yescharacteristic, complemented
132#10622553C2211yescharacteristic, complemented
133#10622553C2211yescharacteristic, complemented
134#10622553C2211yescharacteristic, complemented
135#10622553C2211yescharacteristic, complemented
136#10622553C2211yescharacteristic, complemented
137#10622553C2211yescharacteristic, complemented
138C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
139#10622289C2211yescharacteristic, complemented
140#10622288C2211yescharacteristic, complemented
141#10622287C2211yescharacteristic, complemented
142#10622286C2211yescharacteristic, complemented
143#10622285C2211yescharacteristic
144#10622285C2211yescharacteristic
145#10622285C2211yescharacteristic
146#10622285C2211yescharacteristic
147#10622283C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic, complemented
149#10622283C2211yescharacteristic, complemented
150#10622282C2211yescharacteristic, complemented
151#10622282C2211yescharacteristic, complemented
152#10622282C2211yescharacteristic, complemented
153#10622281C2211yescharacteristic, complemented
154#10622280C2211yescharacteristic, complemented
155#10622280C2211yescharacteristic, complemented
156#10622278C2211yescharacteristic
157#10622278C2211yescharacteristic
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622277C2211yescharacteristic, complemented
169D11×#95C2211yescharacteristic, complemented
170D11×#95C2211yescharacteristic, complemented
171C11⋊#401C2211yescharacteristic, complemented
172#10622273C2211yescharacteristic, complemented
173#10622271C2211yescharacteristic, complemented
174#10622271C2211yescharacteristic, complemented
175#10622271C2211yescharacteristic, complemented
176#10622271C2211yescharacteristic, complemented
177#10622270C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C22×D44—24no—
197C22×D44—42no—
198C22×D44—42no—
199C22×D44C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×D44C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
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
242#66990—24no—
243#66990—42no—
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(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×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303#66951—42no—
304#66950—42no—
305#66949—42no—
306#66947—42no—
307#66947—42no—
308C4⋊C4×D11—42no—
309#66938—42no—
310#66937—42no—
311#66937—42no—
312#66936—42no—
313(C22⋊D11)⋊C4—42no—
314C22⋊C4×D11—24no—
315C22⋊C4×D11—42no—
316C22⋊C4×D11—42no—
317C22⋊C4×D11—42no—
318C42×D11—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#36779—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×D11—41no—
374C23×D11—41no—
375C23×D11—41no—
376C23×D11—41no—
377C23×D11—41no—
378C23×D11—41no—
379C23×D11#4114yes—
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—41no—
389C22×C4×C11—41no—
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
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
403C2×C22⋊D11—22no—
404C2×C22⋊D11—22no—
405C2×C22⋊D11—22no—
406C2×C22⋊D11—22no—
407C2×C22⋊D11—22no—
408C2×C22⋊D11—41no—
409C2×C22⋊D11—41no—
410C2×C22⋊D11—41no—
411C2×C22⋊D11—41no—
412C2×C22⋊D11—41no—
413C2×C22⋊D11—41no—
414C2×C22⋊D11—41no—
415C22×Dic11—41no—
416C22×Dic11—41no—
417C22×Dic11—41no—
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C2×D44—22no—
431C2×D44—22no—
432C2×D44—22no—
433C2×D44—22no—
434C2×D44—22no—
435C2×D44—22no—
436C2×D44—22no—
437C2×D44—22no—
438C2×D44—41no—
439C2×D44—41no—
440C2×D44—41no—
441C2×D44—41no—
442C2×D44—416no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×Dic22—22no—
468C2×Dic22—41no—
469C2×Dic22—41no—
470C11×C4⋊C4—41no—
471C11×C4⋊C4—41no—
472C11×C4⋊C4—41no—
473C11×C4⋊C4—41no—
474C11×C4⋊C4—41no—
475C11×C4⋊C4—41no—
476C11×C4⋊C4—41no—
477C11×C4⋊C4—41no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4—41no—
484C11×C22⋊C4—41no—
485C11×C22⋊C4—41no—
486C11×C22⋊C4—41no—
487C11×C22⋊C4—41no—
488C11×C22⋊C4—41no—
489C42×C11—41no—
490C42×C11—41no—
491C22⋊Dic11—22no—
492C22⋊Dic11—22no—
493C22⋊Dic11—22no—
494C22⋊Dic11—41no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
497C22⋊Dic11—41no—
498C22⋊Dic11—41no—
499C22⋊Dic11—41no—
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—22no—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—22no—
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—
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—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534(C2×D11)⋊C4—41no—
535(C2×D11)⋊C4—41no—
536C4⋊Dic11—22no—
537C4⋊Dic11—41no—
538C4⋊Dic11—41no—
539C4⋊Dic11—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549Dic11⋊C4—41no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554C4×Dic11—22no—
555C4×Dic11—22no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559#2852—111no—
560#2850—111no—
561#2781—111no—
562#2781—111no—
563#2778—111no—
564#2765—111no—
565#2764—111no—
566#2761D1111yescharacteristic, complemented
567#2756—111no—
568#2749—111no—
569#2743—111no—
570#2741—111no—
571#2735—111no—
572#2735—111no—
573#2730—111no—
574#2702—111no—
575#2685—111no—
576#2684—111no—
577#2623—111no—
578#2618—111no—
579#2510—111no—
580#2488—111no—
581#2444—111no—
582#2437—111no—
583#2425—111no—
584#2412—111no—
585#2410—111no—
586#2405—111no—
587#2321—111no—
588#2308—111no—
589C2×#388—111no—
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×C11C2×#4112yes—
604C23×C11C2511yescharacteristic
605C22×D11—21no—
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—28no—
616C22×D11—21no—
617C22×D11—21no—
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—44no—
631C22×D11—44no—
632C22×D11—44no—
633C22×D11—82no—
634C22×D11—82no—
635C22×D11—82no—
636C22×D11—82no—
637C22×D11—82no—
638C22×D11—82no—
639C22×D11—82no—
640C22×D11—82no—
641C22×D11—82no—
642C22×D11—82no—
643C22×D11C2×#4112yes—
644C22×D11C2×#4112yes—
645C22×D11H(5,𝔽2)12yes—
646C22×D11H(5,𝔽2)12yes—
647D4×C11—82no—
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—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—44no—
688C22⋊D11—44no—
689C22⋊D11—82no—
690C22⋊D11—82no—
691C22⋊D11—82no—
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—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—82no—
728C2×Dic11H(5,𝔽2)12yes—
729D44—44no—
730D44—44no—
731D44—44no—
732D44—44no—
733C4×D11—44no—
734C4×D11—44no—
735C4×D11—44no—
736C4×D11—44no—
737C4×D11—82no—
738C4×D11—82no—
739C4×D11—82no—
740C4×D11—82no—
741Dic22—82no—
742C23×D4—111no—
743C2×#126—111no—
744C2×#124—111no—
745C2×#123—111no—
746C2×#123—111no—
747C2×#123—111no—
748C2×C22⋊Q8—111no—
749C2×C22⋊Q8—111no—
750C2×#121—111no—
751C2×#121—111no—
752C2×#120—111no—
753C2×#120—111no—
754C2×C4×D4—111no—
755C22×C4⋊C4—111no—
756C22×C22⋊C4—111no—
757C22×C22⋊C4—111no—
758C22×C22⋊C4—111no—
759C22×C22⋊C4—111no—
760C22×C42—111no—
761#401—111no—
762#400—111no—
763#400—111no—
764#400—111no—
765#400—111no—
766#400—111no—
767#400—111no—
768#399—111no—
769#399—111no—
770#399—111no—
771#398—111no—
772#398—111no—
773#398—111no—
774#398—111no—
775#398C2×D1111yescharacteristic, complemented
776#397—111no—
777#397—111no—
778#397—111no—
779#397—111no—
780#397—111no—
781#397—111no—
782#397—111no—
783#397—111no—
784#397C2×D1111yescharacteristic, complemented
785#397C2×D1111yescharacteristic, complemented
786#396—111no—
787#396—111no—
788#396—111no—
789#396—111no—
790#396—111no—
791#396C2×D1111yescharacteristic
792#396C2×D1111yescharacteristic, complemented
793#394—111no—
794#394—111no—
795#394—111no—
796#394—111no—
797#394—111no—
798#394—111no—
799#394—111no—
800#394—111no—
801#394—111no—
802#394—111no—
803#394—111no—
804#394C2×D1111yescharacteristic
805#393—111no—
806#393—111no—
807#392—111no—
808#392—111no—
809#391—111no—
810#391—111no—
811#390—111no—
812#390—111no—
813#390C2×D1111yescharacteristic
814#389—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#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#388C2×D1111yescharacteristic
839#388C2×D1111yescharacteristic, complemented
840#387—111no—
841#387—111no—
842#387—111no—
843#387C2×D1111yescharacteristic, complemented
844#387C2×D1111yescharacteristic, complemented
845#386—111no—
846#386—111no—
847#386—111no—
848#386—111no—
849#386—111no—
850#386—111no—
851#386—111no—
852#386—111no—
853#386—111no—
854#386—111no—
855#386—111no—
856#386—111no—
857#386—111no—
858#386—111no—
859#386—111no—
860#386—111no—
861#386—111no—
862#386—111no—
863#386—111no—
864#386—111no—
865#386C2×D1111yescharacteristic
866#385—111no—
867#385—111no—
868#385—111no—
869#385—111no—
870#385—111no—
871#385—111no—
872#385—111no—
873#385—111no—
874#385C2×D1111yescharacteristic
875#383—111no—
876#383—111no—
877#382—111no—
878#382C2×D1111yescharacteristic, complemented
879#381—111no—
880#381—111no—
881#381—111no—
882#381C2×D1111yescharacteristic
883#380—111no—
884#380—111no—
885#380—111no—
886#380—111no—
887#380—111no—
888#379—111no—
889#379—111no—
890#379—111no—
891#379—111no—
892#379—111no—
893#379—111no—
894C4×C22⋊C4—111no—
895C2×#95—111no—
896C2×#95—111no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11—22no—
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×C11C22×#4111yescharacteristic
912C22×C11C2×H(5,𝔽2)11yescharacteristic
913C22×C11C2×H(5,𝔽2)11yescharacteristic
914C22×C11C2×H(5,𝔽2)11yescharacteristic
915C22×C11#58511yescharacteristic
916C22×C11#58511yescharacteristic
917C22×C11#58511yescharacteristic
918C2×D11—22no—
919C2×D11—22no—
920C2×D11—22no—
921C2×D11—22no—
922C2×D11—22no—
923C2×D11—22no—
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—41no—
939C2×D11—41no—
940C2×D11—41no—
941C2×D11—41no—
942C2×D11—41no—
943C2×D11—41no—
944C2×D11—41no—
945C2×D11—88no—
946C2×D11—88no—
947C2×D11#53814yes—
948C4×C11—41no—
949C4×C11—41no—
950C4×C11—41no—
951C4×C11—41no—
952C4×C11—41no—
953C4×C11—41no—
954C4×C11—41no—
955C4×C11—41no—
956C4×C11—41no—
957C4×C11—41no—
958C4×C11—41no—
959C4×C11—41no—
960C4×C11—41no—
961Dic11—22no—
962Dic11—41no—
963Dic11—41no—
964Dic11—41no—
965Dic11—41no—
966Dic11—41no—
967Dic11—41no—
968Dic11—41no—
969Dic11—41no—
970Dic11—41no—
971Dic11—41no—
972Dic11—41no—
973C25—111no—
974C25—111no—
975C22×Q8—111no—
976C22×D4—111no—
977C22×D4—111no—
978C22×D4—111no—
979C22×D4—111no—
980C22×D4—111no—
981C22×D4—111no—
982C22×D4—111no—
983C22×D4—111no—
984C22×D4—224no—
985C22×D4—442no—
986C22×D4—442no—
987C22×D4C22×D1111yescharacteristic
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—111no—
997C23×C4C22×D1111yescharacteristic
998#126—442no—
999#124—442no—
1000#123—442no—
1001#123—442no—
1002#123—442no—
1003C22⋊Q8—442no—
1004C22⋊Q8—442no—
1005#121—442no—
1006#121—442no—
1007#120—224no—
1008#120—442no—
1009C4×D4—442no—
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⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—442no—
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C4⋊C4C22×D1111yescharacteristic
1031C2×C4⋊C4C22×D1111yescharacteristic
1032C2×C4⋊C4C22×D1111yescharacteristic
1033C2×C4⋊C4C22×D1111yescharacteristic
1034C2×C4⋊C4C22×D1111yescharacteristic
1035C2×C4⋊C4C22×D1111yescharacteristic
1036C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—224no—
1083C2×C22⋊C4—442no—
1084C2×C22⋊C4—442no—
1085C2×C22⋊C4—442no—
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C22⋊C4C22×D1111yescharacteristic
1090C2×C22⋊C4C22×D1111yescharacteristic
1091C2×C22⋊C4C22×D1111yescharacteristic
1092C2×C22⋊C4C22×D1111yescharacteristic
1093C2×C22⋊C4C22×D1111yescharacteristic
1094C2×C22⋊C4C22×D1111yescharacteristic
1095C2×C22⋊C4C22×D1111yescharacteristic
1096C2×C22⋊C4C22×D1111yescharacteristic
1097C2×C42—111no—
1098C2×C42—111no—
1099C2×C42—111no—
1100C2×C42—111no—
1101C2×C42—111no—
1102C2×C42—442no—
1103C2×C42C22×D1111yescharacteristic
1104C2×C42C22×D1111yescharacteristic
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#95—111no—
1135#95—111no—
1136#95—111no—
1137#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
1142#95C22×D1111yescharacteristic
1143#95C22×D1111yescharacteristic
1144#95C22×D1111yescharacteristic
1145#95C22×D1111yescharacteristic
1146#95C22×D1111yescharacteristic
1147#95C22×D1111yescharacteristic
1148#95C22×D1111yescharacteristic
1149C2×C11—42no—
1150C2×C11—81no—
1151C2×C11C2×#53811yescharacteristic
1152C2×C11#349111yescharacteristic
1153C2×C11#350511yescharacteristic
1154C2×C11#353411yescharacteristic
1155C2×C11#354211yescharacteristic
1156C2×C11#354511yescharacteristic
1157C2×C11#356011yescharacteristic
1158D11—24no—
1159D11—42no—
1160D11—81no—
1161D11—81no—
1162C24—111no—
1163C24—111no—
1164C24—114no—
1165C24—111no—
1166C24—111no—
1167C24—222no—
1168C24—222no—
1169C24—222no—
1170C24—441no—
1171C24—441no—
1172C24—441no—
1173C24—441no—
1174C24—441no—
1175C24—441no—
1176C24—441no—
1177C24—441no—
1178C24—441no—
1179C24—441no—
1180C24C23×D1111yescharacteristic
1181C24C23×D1111yescharacteristic
1182C2×Q8—222no—
1183C2×Q8—441no—
1184C2×Q8—441no—
1185C2×D4—22no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—222no—
1189C2×D4—222no—
1190C2×D4—222no—
1191C2×D4—222no—
1192C2×D4—222no—
1193C2×D4—222no—
1194C2×D4—222no—
1195C2×D4—222no—
1196C2×D4—222no—
1197C2×D4—222no—
1198C2×D4—222no—
1199C2×D4—222no—
1200C2×D4—222no—
1201C2×D4—441no—
1202C2×D4—441no—
1203C2×D4—441no—
1204C2×D4—441no—
1205C2×D4—4416no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4—441no—
1212C2×D4—441no—
1213C22×C4—22no—
1214C22×C4—41no—
1215C22×C4—41no—
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—222no—
1230C22×C4—222no—
1231C22×C4—222no—
1232C22×C4—222no—
1233C22×C4—222no—
1234C22×C4—222no—
1235C22×C4—222no—
1236C22×C4—222no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4—441no—
1240C22×C4—441no—
1241C22×C4—441no—
1242C22×C4—441no—
1243C22×C4—441no—
1244C22×C4—441no—
1245C22×C4—441no—
1246C22×C4—441no—
1247C22×C4—441no—
1248C22×C4—441no—
1249C22×C4—441no—
1250C22×C4—441no—
1251C22×C4—441no—
1252C22×C4—441no—
1253C22×C4—441no—
1254C22×C4—441no—
1255C22×C4C23×D1111yescharacteristic
1256C22×C4C23×D1111yescharacteristic
1257C22×C4C23×D1111yescharacteristic
1258C22×C4C23×D1111yescharacteristic
1259C22×C4C23×D1111yescharacteristic
1260C22×C4C23×D1111yescharacteristic
1261C22×C4C23×D1111yescharacteristic
1262C22×C4C23×D1111yescharacteristic
1263C22×C4C23×D1111yescharacteristic
1264C22×C4C23×D1111yescharacteristic
1265C22×C4C23×D1111yescharacteristic
1266C22×C4C23×D1111yescharacteristic
1267C22×C4C23×D1111yescharacteristic
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—222no—
1277C4⋊C4—441no—
1278C4⋊C4—441no—
1279C4⋊C4—441no—
1280C4⋊C4—441no—
1281C4⋊C4—441no—
1282C4⋊C4—441no—
1283C4⋊C4—441no—
1284C4⋊C4—441no—
1285C4⋊C4—441no—
1286C4⋊C4—441no—
1287C4⋊C4—441no—
1288C4⋊C4—441no—
1289C4⋊C4—441no—
1290C4⋊C4—441no—
1291C4⋊C4—441no—
1292C4⋊C4—441no—
1293C4⋊C4—441no—
1294C22⋊C4—22no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—222no—
1306C22⋊C4—222no—
1307C22⋊C4—222no—
1308C22⋊C4—222no—
1309C22⋊C4—222no—
1310C22⋊C4—222no—
1311C22⋊C4—222no—
1312C22⋊C4—222no—
1313C22⋊C4—222no—
1314C22⋊C4—222no—
1315C22⋊C4—222no—
1316C22⋊C4—222no—
1317C22⋊C4—222no—
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—
1334C22⋊C4—441no—
1335C22⋊C4—441no—
1336C22⋊C4—441no—
1337C22⋊C4—441no—
1338C22⋊C4—441no—
1339C22⋊C4—441no—
1340C22⋊C4—441no—
1341C22⋊C4—441no—
1342C22⋊C4—441no—
1343C22⋊C4—441no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4—441no—
1349C22⋊C4—441no—
1350C42—41no—
1351C42—41no—
1352C42—222no—
1353C42—222no—
1354C42—441no—
1355C42—441no—
1356C42—441no—
1357C11#3677911yescharacteristic, complemented, Sylow
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—112no—
1372C23—112no—
1373C23—112no—
1374C23—112no—
1375C23—228no—
1376C23—221no—
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—221no—
1391C23—221no—
1392C23—221no—
1393C23—221no—
1394C23—221no—
1395C23—221no—
1396C23—221no—
1397C23—221no—
1398C23—221no—
1399C23—221no—
1400C23—444no—
1401C23—444no—
1402C23—444no—
1403C23—882no—
1404C23—882no—
1405C23—882no—
1406C23—882no—
1407C23—882no—
1408C23—882no—
1409C23—882no—
1410C23—882no—
1411C23—882no—
1412C23—882no—
1413C23#41×D1112yes—
1414C23C24×D1111yescharacteristic
1415Q8—882no—
1416D4—82no—
1417D4—444no—
1418D4—444no—
1419D4—444no—
1420D4—444no—
1421D4—444no—
1422D4—882no—
1423D4—882no—
1424D4—882no—
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—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—44no—
1465C2×C4—112no—
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—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—444no—
1502C2×C4—444no—
1503C2×C4—444no—
1504C2×C4—444no—
1505C2×C4—882no—
1506C2×C4—882no—
1507C2×C4—882no—
1508C2×C4—882no—
1509C2×C4—882no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—114no—
1525C22—222no—
1526C22—222no—
1527C22—222no—
1528C22—222no—
1529C22—222no—
1530C22—222no—
1531C22—222no—
1532C22—222no—
1533C22—222no—
1534C22—441no—
1535C22—441no—
1536C22—441no—
1537C22—441no—
1538C22—441no—
1539C22—441no—
1540C22—441no—
1541C22—441no—
1542C22—441no—
1543C22—441no—
1544C22—441no—
1545C22—441no—
1546C22—441no—
1547C22—441no—
1548C22—441no—
1549C22—441no—
1550C22—441no—
1551C22—441no—
1552C22—888no—
1553C22—888no—
1554C22C2×#41×D1111yescharacteristic
1555C22#1062345311yescharacteristic
1556C22#1062345311yescharacteristic
1557C22D11×H(5,𝔽2)11yescharacteristic
1558C22D11×H(5,𝔽2)11yescharacteristic
1559C22D11×H(5,𝔽2)11yescharacteristic
1560C22#1062345711yescharacteristic
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—222no—
1575C4—441no—
1576C4—441no—
1577C4—441no—
1578C4—441no—
1579C4—441no—
1580C4—441no—
1581C4—441no—
1582C4—441no—
1583C4—441no—
1584C4—441no—
1585C4—441no—
1586C2—42no—
1587C2—81no—
1588C2—224no—
1589C2—442no—
1590C2—881no—
1591C2—881no—
1592C2D11×#53811yescharacteristic
1593C2#1308231111yescharacteristic
1594C2#1308244711yescharacteristic
1595C2#1308280811yescharacteristic
1596C2#1308292311yescharacteristic
1597C2#1308296411yescharacteristic
1598C2#1308315511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2761C2
prime radical#13071993C2
hypercenter#2761D11
hypocenterC11#36779
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2761

Complements

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

NH ≅ G/Ntype
1. #13076934C2semidirect
2. #13076914C2semidirect
3. #13076276C2semidirect
4. #13076275C2semidirect
5. #13076231C2semidirect
6. #13076055C2semidirect
7. #13076039C2semidirect
8. #13075945C2semidirect
9. #13075845C2semidirect
10. #13075753C2semidirect
11. #13075725C2semidirect
12. #13075659C2semidirect
13. #13075654C2semidirect
14. #13075618C2semidirect
15. #13075243C2semidirect
16. #13075002C2semidirect
17. #13074991C2semidirect
18. #13074397C2semidirect
19. #13074363C2semidirect
20. #13073173C2semidirect
21. #13072939C2semidirect
22. #13072361C2semidirect
23. #13072278C2semidirect
24. #13072170C2semidirect
25. #13072007C2semidirect
27. #13071945C2semidirect
28. #13071275C2semidirect
29. #13071193C2semidirect
30. D11×#388C2semidirect
31. C11×#2761C2semidirect
35. C2×#66951C22semidirect
36. C2×#66950C22semidirect
37. C2×#66949C22semidirect
40. C2×C4⋊C4×D11C22semidirect
41. C2×#66938C22semidirect
44. C2×#66936C22semidirect
45. C2×(C22⋊D11)⋊C4C22semidirect
50. C2×C42×D11C22semidirect
51. C11×#398C22semidirect
52. C11×#397C22semidirect
53. C11×#397C22semidirect
55. C11×#396C22semidirect
59. C11×#388C22semidirect
60. C11×#387C22semidirect
61. C11×#387C22semidirect
64. C11×#382C22semidirect
71. #10622607C22semidirect
72. #10622607C22semidirect
73. #10622606C22semidirect
74. #10622606C22semidirect
75. #10622606C22semidirect
76. #10622606C22semidirect
77. #10622605C22semidirect
78. #10622605C22semidirect
81. #10622603C22semidirect
82. #10622603C22semidirect
83. #10622603C22semidirect
84. #10622603C22semidirect
85. #10622603C22semidirect
86. #10622602C22semidirect
87. #10622602C22semidirect
88. #10622602C22semidirect
89. #10622602C22semidirect
90. #10622602C22semidirect
91. #10622600C22semidirect
92. #10622600C22semidirect
93. #10622597C22semidirect
94. #10622596C22semidirect
95. #10622595C22semidirect
96. #10622586C22semidirect
97. #10622574C22semidirect
98. #10622574C22semidirect
101. #10622572C22semidirect
102. #10622572C22semidirect
103. #10622571C22semidirect
104. #10622571C22semidirect
105. #10622571C22semidirect
106. #10622570C22semidirect
107. #10622570C22semidirect
108. #10622569C22semidirect
109. #10622569C22semidirect
110. #10622569C22semidirect
111. #10622569C22semidirect
123. #10622561C22semidirect
128. #10622558C22semidirect
130. #10622556C22semidirect
131. #10622555C22semidirect
132. #10622553C22semidirect
133. #10622553C22semidirect
134. #10622553C22semidirect
135. #10622553C22semidirect
136. #10622553C22semidirect
137. #10622553C22semidirect
138. C4×(C2×D11)⋊C4C22semidirect
139. #10622289C22semidirect
140. #10622288C22semidirect
141. #10622287C22semidirect
142. #10622286C22semidirect
147. #10622283C22semidirect
148. #10622283C22semidirect
149. #10622283C22semidirect
150. #10622282C22semidirect
151. #10622282C22semidirect
152. #10622282C22semidirect
153. #10622281C22semidirect
154. #10622280C22semidirect
155. #10622280C22semidirect
168. #10622277C22semidirect
169. D11×#95C22semidirect
170. D11×#95C22semidirect
171. C11⋊#401C22semidirect
172. #10622273C22semidirect
173. #10622271C22semidirect
174. #10622271C22semidirect
175. #10622271C22semidirect
176. #10622271C22semidirect
177. #10622270C22semidirect
178. #10622270C22semidirect
179. #10622268C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622264C22semidirect
184. #10622263C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
566. #2761D11semidirect
775. #398C2×D11semidirect
784. #397C2×D11semidirect
785. #397C2×D11semidirect
792. #396C2×D11semidirect
839. #388C2×D11semidirect
843. #387C2×D11semidirect
844. #387C2×D11semidirect
878. #382C2×D11semidirect
1357. C11#36779semidirect

Maximal subgroups

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

subgroupindex
#130769342
#130769142
#130762762
#130762752
#130762312
#130760552
#130760392
#130759452
#130758452
#130757532
#130757252
#130756592
#130756542
#130756182
#130752432
#130750022
#130749912
#130743972
#130743632
#130731732
#130729392
#130723612
#130722782
#130721702
#130720072
#130719932
#130719452
#130712752
#130711932
D11×#3882
C11×#27612
#3677911