Finite Group Databasebeta

← #14922926

Subgroups — #14922926

Order 2816.

2428 conjugacy classes of subgroups.

The subgroup lattice has 1558 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623222C211yesmaximal, characteristic, complemented
2C2×#10623237C211yesmaximal, characteristic, complemented
3#13073321C211yesmaximal, characteristic, complemented
4#13073313C211yesmaximal, characteristic, complemented
5#13073289C211yesmaximal, characteristic, complemented
6#13073201C211yesmaximal, characteristic, complemented
7#13073131C211yesmaximal, characteristic, complemented
8#13073082C211yesmaximal, characteristic, complemented
9#13073037C211yesmaximal, characteristic, complemented
10#13072978C211yesmaximal, characteristic, complemented
11#13072941C211yesmaximal, characteristic, complemented
12#13072939C211yesmaximal, characteristic, complemented
13#13072919C211yesmaximal, characteristic, complemented
14#13072313C211yesmaximal, characteristic, complemented
15#13072174C211yesmaximal, characteristic, complemented
16#13072172C211yesmaximal, characteristic, complemented
17#13072051C211yesmaximal, characteristic
18#13071893C211yesmaximal, characteristic, complemented
19#13071891C211yesmaximal, characteristic, complemented
20#13071881C211yesmaximal, characteristic, complemented
21#13071880C211yesmaximal, characteristic, complemented
22#13071187C211yesmaximal, characteristic, complemented
23#13071143C211yesmaximal, characteristic, complemented
24#13071137C211yesmaximal, characteristic, complemented
25#13071128C211yesmaximal, characteristic, complemented
26#13071128C211yesmaximal, characteristic, complemented
27#13071076C211yesmaximal, characteristic, complemented
28#13071022C211yesmaximal, characteristic, complemented
29C4×#66946C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2519C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic
33C2×C11×#125C2211yescharacteristic
34#10623237—28no—
35#10623222—28no—
36C2×#66951C2211yescharacteristic
37C2×#66951C2211yescharacteristic
38C2×#66950C2211yescharacteristic
39C2×#66949C2211yescharacteristic
40C2×#66948C2211yescharacteristic
41C2×#66947C2211yescharacteristic
42C2×#66947C2211yescharacteristic
43C2×#66947C2211yescharacteristic
44C2×#66947C2211yescharacteristic
45C2×#66946C2211yescharacteristic
46C2×#66946C2211yescharacteristic
47C2×#66946C2211yescharacteristic
48C2×#66946C2211yescharacteristic
49C2×#66945C2211yescharacteristic
50C2×#66945C2211yescharacteristic
51C2×#66945C2211yescharacteristic
52C2×C4⋊C4×D11C2211yescharacteristic
53C2×C4⋊C4×D11C2211yescharacteristic
54C2×#66942C2211yescharacteristic
55C2×#66941C2211yescharacteristic
56C2×#66940C2211yescharacteristic
57C2×#66940C2211yescharacteristic
58C2×#66938C2211yescharacteristic
59C2×#66937C2211yescharacteristic
60C2×#66937C2211yescharacteristic
61C2×#66937C2211yescharacteristic
62C2×#66936C2211yescharacteristic
63C2×#66936C2211yescharacteristic
64C2×(C22⋊D11)⋊C4C2211yescharacteristic
65C2×(C22⋊D11)⋊C4C2211yescharacteristic
66C2×(C22⋊D11)⋊C4C2211yescharacteristic
67C2×#66930C2211yescharacteristic
68C2×#66929C2211yescharacteristic
69C2×#66928C2211yescharacteristic
70C2×C4×D44C2211yescharacteristic
71C2×C42×D11C2211yescharacteristic
72C2×C42×D11C2211yescharacteristic
73C2×C42×D11C2211yescharacteristic
74C2×C42×D11C2211yescharacteristic
75C11×#399C2211yescharacteristic
76C11×#398C2211yescharacteristic
77C11×#398C2211yescharacteristic
78C11×#396C2211yescharacteristic
79C11×#389C2211yescharacteristic
80C11×#388C2211yescharacteristic
81C11×#388C2211yescharacteristic
82C11×#388C2211yescharacteristic
83C11×#388C2211yescharacteristic
84C11×#387C2211yescharacteristic
85C11×#382C2211yescharacteristic
86C4×C11×C4⋊C4C2211yescharacteristic
87C4×C11×C4⋊C4C2211yescharacteristic
88#10622607C2211yescharacteristic
89#10622607C2211yescharacteristic
90#10622606C2211yescharacteristic
91#10622606C2211yescharacteristic
92#10622606C2211yescharacteristic
93#10622605C2211yescharacteristic
94#10622604C2211yescharacteristic
95#10622604C2211yescharacteristic
96#10622602C2211yescharacteristic
97#10622599C2211yescharacteristic
98#10622597C2211yescharacteristic
99#10622597C2211yescharacteristic
100#10622596C2211yescharacteristic
101#10622595C2211yescharacteristic
102#10622592C2211yescharacteristic
103#10622591C2211yescharacteristic
104#10622589C2211yescharacteristic
105#10622589C2211yescharacteristic
106#10622589C2211yescharacteristic
107C4⋊C4×Dic11C2211yescharacteristic
108C4⋊C4×Dic11C2211yescharacteristic
109C4⋊C4×Dic11C2211yescharacteristic
110C4⋊C4×Dic11C2211yescharacteristic
111C4⋊C4×Dic11C2211yescharacteristic
112C4⋊C4×Dic11C2211yescharacteristic
113#10622585C2211yescharacteristic
114#10622585C2211yescharacteristic
115#10622585C2211yescharacteristic
116#10622585C2211yescharacteristic
117#10622585C2211yescharacteristic
118#10622574C2211yescharacteristic
119#10622574C2211yescharacteristic
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic
123#10622570C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622566C2211yescharacteristic
128#10622564C2211yescharacteristic
129#10622562C2211yescharacteristic
130#10622561C2211yescharacteristic
131#10622560C2211yescharacteristic
132#10622557C2211yescharacteristic
133C22⋊C4×Dic11C2211yescharacteristic
134C22⋊C4×Dic11C2211yescharacteristic
135C22⋊C4×Dic11C2211yescharacteristic
136#10622553C2211yescharacteristic
137#10622553C2211yescharacteristic
138#10622553C2211yescharacteristic
139#10622553C2211yescharacteristic
140C4×(C2×D11)⋊C4C2211yescharacteristic
141C4×(C2×D11)⋊C4C2211yescharacteristic
142#10622549C2211yescharacteristic
143C4×C4⋊Dic11C2211yescharacteristic
144#10622546C2211yescharacteristic
145C4×Dic11⋊C4C2211yescharacteristic
146C4×Dic11⋊C4C2211yescharacteristic
147C42×Dic11C2211yescharacteristic
148#10622541C2211yescharacteristic
149#10622290C2211yescharacteristic
150#10622287C2211yescharacteristic
151#10622287C2211yescharacteristic
152#10622286C2211yescharacteristic
153#10622283C2211yescharacteristic
154#10622282C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622280C2211yescharacteristic
157#10622280C2211yescharacteristic
158#10622280C2211yescharacteristic
159#10622280C2211yescharacteristic
160#10622280C2211yescharacteristic
161#10622280C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622279C2211yescharacteristic
164#10622279C2211yescharacteristic
165#10622279C2211yescharacteristic
166#10622279C2211yescharacteristic
167#10622279C2211yescharacteristic
168#10622279C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622277C2211yescharacteristic
173#10622277C2211yescharacteristic
174D11×#95C2211yescharacteristic
175D11×#95C2211yescharacteristic
176#10622274C2211yescharacteristic
177#10622273C2211yescharacteristic
178#10622271C2211yescharacteristic
179#10622269C2211yescharacteristic
180#10622266C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622262C2211yescharacteristic
184#10622262C2211yescharacteristic
185#10622262C2211yescharacteristic
186#10622260C2211yescharacteristic
187#10622259C2211yescharacteristic
188#10622259C2211yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×D44C2311yescharacteristic
195C22×D44C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C22×Dic22C2311yescharacteristic
209C11×#126—24no—
210C11×#125—24no—
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊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×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(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×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310#66951—24no—
311#66951—24no—
312#66950—24no—
313#66949—24no—
314#66948—24no—
315#66947—24no—
316#66947—24no—
317#66947—24no—
318#66947—24no—
319#66946—24no—
320#66946—24no—
321#66946—24no—
322#66946D418yescomplemented
323#66945—24no—
324#66945—24no—
325#66945—24no—
326C4⋊C4×D11—24no—
327C4⋊C4×D11—24no—
328#66942—24no—
329#66941—24no—
330#66940—24no—
331#66940—24no—
332#66938—24no—
333#66937—24no—
334#66937—24no—
335#66937—24no—
336#66936—24no—
337#66936—24no—
338(C22⋊D11)⋊C4—24no—
339(C22⋊D11)⋊C4—24no—
340(C22⋊D11)⋊C4—24no—
341#66930—24no—
342#66929—24no—
343#66928—24no—
344C4×D44—24no—
345C42×D11—24no—
346C42×D11—24no—
347C42×D11—24no—
348C42×D11—24no—
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
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#34763—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
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
403C22×C4×C11C2411yescharacteristic
404C2×C22⋊D11—22no—
405C2×C22⋊D11—22no—
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—41no—
413C22×Dic11—22no—
414C22×Dic11—22no—
415C22×Dic11—22no—
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C2×D44—22no—
430C2×D44—22no—
431C2×D44—22no—
432C2×D44—22no—
433C2×D44—22no—
434C2×D44—22no—
435C2×D44—22no—
436C2×D44—41no—
437C2×D44C2×D414yes—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
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—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11—41no—
468C2×C4×D11C2×D414yes—
469C2×C4×D11C2×D414yes—
470C2×C4×D11#4114yes—
471C2×Dic22—22no—
472C2×Dic22—22no—
473C2×Dic22—22no—
474C2×Dic22—22no—
475C2×Dic22—41no—
476C2×Dic22—41no—
477C11×C4⋊C4—22no—
478C11×C4⋊C4—22no—
479C11×C4⋊C4—22no—
480C11×C4⋊C4—22no—
481C11×C4⋊C4—22no—
482C11×C4⋊C4—22no—
483C11×C4⋊C4—22no—
484C11×C4⋊C4—22no—
485C11×C4⋊C4—22no—
486C11×C4⋊C4—22no—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—22no—
489C11×C4⋊C4C2×D414yes—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C42×C11—22no—
498C42×C11—22no—
499C42×C11—22no—
500C42×C11—22no—
501C42×C11—22no—
502C22⋊Dic11—22no—
503C22⋊Dic11—22no—
504C22⋊Dic11—41no—
505C22⋊Dic11—41no—
506(C2×D11)⋊C4—22no—
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—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4C2×D414yes—
529(C2×D11)⋊C4C2×D414yes—
530(C2×D11)⋊C4#4114yes—
531C4⋊Dic11—22no—
532C4⋊Dic11—22no—
533C4⋊Dic11—22no—
534C4⋊Dic11—22no—
535C4⋊Dic11—22no—
536C4⋊Dic11—22no—
537C4⋊Dic11—22no—
538C4⋊Dic11—22no—
539Dic11⋊C4—22no—
540Dic11⋊C4—22no—
541Dic11⋊C4—22no—
542Dic11⋊C4—22no—
543Dic11⋊C4—22no—
544Dic11⋊C4—22no—
545Dic11⋊C4—22no—
546Dic11⋊C4—22no—
547Dic11⋊C4—22no—
548Dic11⋊C4—22no—
549Dic11⋊C4—22no—
550Dic11⋊C4—22no—
551Dic11⋊C4—22no—
552Dic11⋊C4—22no—
553Dic11⋊C4—22no—
554Dic11⋊C4—22no—
555Dic11⋊C4—41no—
556Dic11⋊C4—41no—
557Dic11⋊C4#4114yes—
558C4×Dic11—22no—
559C4×Dic11—22no—
560C4×Dic11—22no—
561C4×Dic11—22no—
562C4×Dic11—22no—
563C4×Dic11—22no—
564C4×Dic11—22no—
565C4×Dic11—22no—
566C4×Dic11—22no—
567C4×Dic11—22no—
568C4×Dic11—22no—
569C4×Dic11—22no—
570C4×Dic11—22no—
571C4×Dic11—22no—
572C4×Dic11—22no—
573C4×Dic11—41no—
574C4×Dic11C2×D414yes—
575C4×Dic11#4114yes—
576C2×#529—111no—
577C2×#529—111no—
578#2521—111no—
579#2521—111no—
580#2519—111no—
581#2519D1111yescharacteristic, complemented
582#2512—111no—
583#2506—111no—
584#2501—111no—
585#2496—111no—
586#2491—111no—
587#2488—111no—
588#2488—111no—
589#2486—111no—
590#2440—111no—
591#2425—111no—
592#2425—111no—
593#2416—111no—
594#2396—111no—
595#2396—111no—
596#2395—111no—
597#2395—111no—
598C4×C4⋊Q8—111no—
599C4×#123—111no—
600C4×#123—111no—
601C4×#121—111no—
602C4×#121—111no—
603#2293—111no—
604#2285—111no—
605C42×D4—111no—
606C2×C4×C4⋊C4—111no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11C2511yescharacteristic
615C22×D11—21no—
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—21no—
631C22×D11—21no—
632C22×D11C22×D412yes—
633C22×D11C22×D412yes—
634C22×D11C2×#4112yes—
635C22×D11C2×#4112yes—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—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×C11C22×D412yes—
672C2×C4×C11C22×D412yes—
673C2×C4×C11C22×D412yes—
674C2×C4×C11C2×#4112yes—
675C2×C4×C11C2×#4112yes—
676C2×C4×C11C2×#4112yes—
677C2×C4×C11C2×#4112yes—
678C22⋊D11—44no—
679C22⋊D11—44no—
680C22⋊D11—44no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—44no—
712C2×Dic11C22×D412yes—
713C2×Dic11C22×D412yes—
714C2×Dic11C2×#4112yes—
715C2×Dic11C2×#4112yes—
716C2×Dic11C2×#4112yes—
717C2×Dic11C2×#4112yes—
718C2×Dic11C2×#4112yes—
719C2×Dic11C2×#4112yes—
720C2×Dic112−1+412yes—
721D44—28no—
722D44—44no—
723D44—44no—
724C4×D11—28no—
725C4×D11—28no—
726C4×D11—28no—
727C4×D11—44no—
728C4×D11—44no—
729C4×D11—44no—
730C4×D11—44no—
731C4×D11—44no—
732C4×D11—44no—
733C4×D11—44no—
734C4×D11—44no—
735Dic22—44no—
736Dic22—44no—
737C2×C4⋊Q8—111no—
738#529—228no—
739#529—228no—
740C2×#126—111no—
741C2×#126—111no—
742C2×#126—111no—
743C2×#126C2×D1111yescharacteristic
744C2×#125—111no—
745C2×#125C2×D1111yescharacteristic
746C2×#124—111no—
747C2×#124—111no—
748C2×#123—111no—
749C2×#123—111no—
750C2×#123—111no—
751C2×#123—111no—
752C2×#123—111no—
753C2×#123—111no—
754C2×C22⋊Q8—111no—
755C2×C22⋊Q8—111no—
756C2×#121—111no—
757C2×#121—111no—
758C2×#121—111no—
759C2×#121—111no—
760C2×C4×Q8—111no—
761C2×C4×Q8—111no—
762C2×C4×D4—111no—
763C2×C4×D4—111no—
764C2×C4×D4—111no—
765C2×C4×D4—111no—
766C2×C4×D4—111no—
767C2×C4×D4—111no—
768C2×C4×D4—111no—
769C2×C4×D4—111no—
770C2×#117—111no—
771C2×#117—111no—
772C2×#117—111no—
773C2×#117—111no—
774C22×C4⋊C4—111no—
775C22×C4⋊C4—111no—
776C22×C42—111no—
777C22×C42—111no—
778C22×C42—111no—
779C22×C42—111no—
780#400—111no—
781#400—111no—
782#400—111no—
783#400—111no—
784#399—111no—
785#399—111no—
786#399—111no—
787#399C2×D1111yescharacteristic
788#398—111no—
789#398—111no—
790#398—111no—
791#398—111no—
792#398C2×D1111yescharacteristic
793#398C2×D1111yescharacteristic
794#397—111no—
795#397—111no—
796#397—111no—
797#397—111no—
798#397—111no—
799#397—111no—
800#396—111no—
801#396—111no—
802#396—111no—
803#396C2×D1111yescharacteristic
804#395—111no—
805#395—111no—
806#394—111no—
807#394—111no—
808#394—111no—
809#394—111no—
810#393—111no—
811#393—111no—
812#391—111no—
813#391—111no—
814#390—111no—
815#390—111no—
816#390—111no—
817#390—111no—
818#389—111no—
819#389—111no—
820#389—111no—
821#389—111no—
822#389—111no—
823#389—111no—
824#389—111no—
825#389C2×D1111yescharacteristic
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#388C2×D1111yescharacteristic
835#388C2×D1111yescharacteristic
836#388C2×D1111yescharacteristic
837#388C2×D1111yescharacteristic
838#387—111no—
839#387—111no—
840#387—111no—
841#387C2×D1111yescharacteristic
842#386—111no—
843#386—111no—
844#386—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#385—111no—
849#385—111no—
850#384—111no—
851#384—111no—
852#384—111no—
853#382—111no—
854#382C2×D1111yescharacteristic
855#381—111no—
856#381—111no—
857#380—111no—
858#380—111no—
859#380—111no—
860#380—111no—
861#380—111no—
862#380—111no—
863C4×C4⋊C4—111no—
864C4×C4⋊C4—111no—
865C4×C4⋊C4—111no—
866C4×C4⋊C4—111no—
867C4×C4⋊C4—111no—
868C4×C4⋊C4—111no—
869C4×C4⋊C4—111no—
870C4×C4⋊C4—111no—
871C4×C4⋊C4—111no—
872C4×C4⋊C4—111no—
873C4×C4⋊C4—111no—
874C4×C4⋊C4—111no—
875C4×C4⋊C4—111no—
876C4×C4⋊C4—111no—
877C4×C4⋊C4C2×D1111yescharacteristic
878C4×C4⋊C4C2×D1111yescharacteristic
879C4×C22⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C4×C22⋊C4—111no—
889C4×C22⋊C4—111no—
890C4×C22⋊C4—111no—
891C2×#95—111no—
892C2×#95—111no—
893C43—111no—
894C22×C11—41no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11—41no—
901C22×C11C23×D411yescharacteristic
902C22×C11C22×#4111yescharacteristic
903C22×C11C22×#4111yescharacteristic
904C22×C11C22×#4111yescharacteristic
905C22×C11C22×#4111yescharacteristic
906C22×C11C2×2−1+411yescharacteristic
907C22×C11#58511yescharacteristic
908C2×D11—22no—
909C2×D11—22no—
910C2×D11—22no—
911C2×D11—22no—
912C2×D11—22no—
913C2×D11—22no—
914C2×D11—22no—
915C2×D11—22no—
916C2×D11—22no—
917C2×D11—41no—
918C2×D11—41no—
919C2×D11—41no—
920C2×D11—41no—
921C2×D11—41no—
922C2×D11—41no—
923C2×D11—41no—
924C2×D11—41no—
925C2×D11—41no—
926C2×D11—41no—
927C2×D11—41no—
928C2×D11#53214yes—
929C4×C11—22no—
930C4×C11—22no—
931C4×C11—22no—
932C4×C11—22no—
933C4×C11—22no—
934C4×C11—22no—
935C4×C11—22no—
936C4×C11—41no—
937C4×C11—41no—
938C4×C11—41no—
939C4×C11—41no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943Dic11—22no—
944Dic11—22no—
945Dic11—22no—
946Dic11—41no—
947Dic11—41no—
948Dic11—41no—
949Dic11—41no—
950Dic11—41no—
951Dic11—41no—
952Dic11—41no—
953Dic11—41no—
954Dic11#52914yescomplemented
955Dic11#54714yes—
956C22×Q8—111no—
957C22×Q8—111no—
958C22×D4—111no—
959C22×D4—111no—
960C22×D4—111no—
961C22×D4—111no—
962C22×D4—111no—
963C22×D4—111no—
964C23×C4—111no—
965C23×C4—111no—
966C23×C4—111no—
967C23×C4—111no—
968C23×C4—111no—
969C23×C4—111no—
970C23×C4—111no—
971C23×C4—111no—
972C23×C4—111no—
973C23×C4—111no—
974C23×C4—111no—
975C23×C4—111no—
976C4⋊Q8—224no—
977#126—24no—
978#126—224no—
979#126—224no—
980#126—224no—
981#125—24no—
982#125—224no—
983#124—224no—
984#124—224no—
985#123—224no—
986#123—224no—
987#123—224no—
988#123—224no—
989#123—224no—
990#123—224no—
991C22⋊Q8—224no—
992C22⋊Q8—224no—
993#121—224no—
994#121—224no—
995#121—224no—
996#121—224no—
997C4×Q8—224no—
998C4×Q8—224no—
999C4×D4—118no—
1000C4×D4—224no—
1001C4×D4—224no—
1002C4×D4—224no—
1003C4×D4—224no—
1004C4×D4—224no—
1005C4×D4—224no—
1006C4×D4—224no—
1007#117—224no—
1008#117—224no—
1009#117—224no—
1010#117—224no—
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—111no—
1029C2×C4⋊C4—111no—
1030C2×C4⋊C4—111no—
1031C2×C4⋊C4—111no—
1032C2×C4⋊C4—111no—
1033C2×C4⋊C4—111no—
1034C2×C4⋊C4—111no—
1035C2×C4⋊C4—111no—
1036C2×C4⋊C4—111no—
1037C2×C4⋊C4—111no—
1038C2×C4⋊C4—224no—
1039C2×C4⋊C4—224no—
1040C2×C4⋊C4C22×D1111yescharacteristic
1041C2×C4⋊C4C22×D1111yescharacteristic
1042C2×C4⋊C4C22×D1111yescharacteristic
1043C2×C4⋊C4C22×D1111yescharacteristic
1044C2×C4⋊C4C22×D1111yescharacteristic
1045C2×C4⋊C4C22×D1111yescharacteristic
1046C2×C4⋊C4C22×D1111yescharacteristic
1047C2×C4⋊C4C22×D1111yescharacteristic
1048C2×C4⋊C4C22×D1111yescharacteristic
1049C2×C4⋊C4C22×D1111yescharacteristic
1050C2×C4⋊C4C22×D1111yescharacteristic
1051C2×C4⋊C4C22×D1111yescharacteristic
1052C2×C4⋊C4C22×D1111yescharacteristic
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⋊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×C42—111no—
1101C2×C42—111no—
1102C2×C42—111no—
1103C2×C42—111no—
1104C2×C42—111no—
1105C2×C42—111no—
1106C2×C42—111no—
1107C2×C42—224no—
1108C2×C42—224no—
1109C2×C42—224no—
1110C2×C42—224no—
1111C2×C42C22×D1111yescharacteristic
1112C2×C42C22×D1111yescharacteristic
1113C2×C42C22×D1111yescharacteristic
1114C2×C42C22×D1111yescharacteristic
1115C2×C42C22×D1111yescharacteristic
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#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95C22×D1111yescharacteristic
1143#95C22×D1111yescharacteristic
1144#95C22×D1111yescharacteristic
1145#95C22×D1111yescharacteristic
1146#95C22×D1111yescharacteristic
1147#95C22×D1111yescharacteristic
1148#95C22×D1111yescharacteristic
1149#95C22×D1111yescharacteristic
1150#95C22×D1111yescharacteristic
1151#95C22×D1111yescharacteristic
1152C2×C11—81no—
1153C2×C11C2×#52911yescharacteristic
1154C2×C11C2×#53211yescharacteristic
1155C2×C11#346111yescharacteristic
1156C2×C11C2×#54711yescharacteristic
1157C2×C11D4×#4111yescharacteristic
1158C2×C11#347511yescharacteristic
1159C2×C11#348211yescharacteristic
1160D11—24no—
1161D11—42no—
1162D11—81no—
1163C24—111no—
1164C24—111no—
1165C24—111no—
1166C24C23×D1111yescharacteristic
1167C2×Q8—222no—
1168C2×Q8—222no—
1169C2×Q8—222no—
1170C2×Q8—222no—
1171C2×Q8—441no—
1172C2×Q8—441no—
1173C2×D4—114no—
1174C2×D4—222no—
1175C2×D4—222no—
1176C2×D4—222no—
1177C2×D4—222no—
1178C2×D4—222no—
1179C2×D4—222no—
1180C2×D4—222no—
1181C2×D4—222no—
1182C2×D4—222no—
1183C2×D4—222no—
1184C2×D4—222no—
1185C2×D4—222no—
1186C2×D4—222no—
1187C2×D4—222no—
1188C2×D4—222no—
1189C2×D4—441no—
1190C2×D4—441no—
1191C22×C4—111no—
1192C22×C4—111no—
1193C22×C4—111no—
1194C22×C4—111no—
1195C22×C4—111no—
1196C22×C4—114no—
1197C22×C4—114no—
1198C22×C4—114no—
1199C22×C4—111no—
1200C22×C4—111no—
1201C22×C4—111no—
1202C22×C4—111no—
1203C22×C4—111no—
1204C22×C4—111no—
1205C22×C4—111no—
1206C22×C4—111no—
1207C22×C4—222no—
1208C22×C4—222no—
1209C22×C4—222no—
1210C22×C4—222no—
1211C22×C4—222no—
1212C22×C4—222no—
1213C22×C4—222no—
1214C22×C4—222no—
1215C22×C4—222no—
1216C22×C4—222no—
1217C22×C4—222no—
1218C22×C4—222no—
1219C22×C4—222no—
1220C22×C4—222no—
1221C22×C4—222no—
1222C22×C4—222no—
1223C22×C4—222no—
1224C22×C4—222no—
1225C22×C4—222no—
1226C22×C4—222no—
1227C22×C4—222no—
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—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
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C22×C4C23×D1111yescharacteristic
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—114no—
1267C4⋊C4—222no—
1268C4⋊C4—222no—
1269C4⋊C4—222no—
1270C4⋊C4—222no—
1271C4⋊C4—222no—
1272C4⋊C4—222no—
1273C4⋊C4—222no—
1274C4⋊C4—222no—
1275C4⋊C4—222no—
1276C4⋊C4—222no—
1277C4⋊C4—222no—
1278C4⋊C4—222no—
1279C4⋊C4—222no—
1280C4⋊C4—222no—
1281C4⋊C4—222no—
1282C4⋊C4—222no—
1283C4⋊C4—222no—
1284C4⋊C4—222no—
1285C4⋊C4—222no—
1286C4⋊C4—222no—
1287C4⋊C4—222no—
1288C4⋊C4—222no—
1289C4⋊C4—222no—
1290C4⋊C4—222no—
1291C4⋊C4—441no—
1292C4⋊C4—441no—
1293C4⋊C4D4×D1114yes—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—114no—
1302C22⋊C4—114no—
1303C22⋊C4—114no—
1304C22⋊C4—222no—
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—222no—
1319C22⋊C4—222no—
1320C22⋊C4—222no—
1321C22⋊C4—222no—
1322C22⋊C4—222no—
1323C22⋊C4—222no—
1324C22⋊C4—222no—
1325C22⋊C4—222no—
1326C22⋊C4—441no—
1327C22⋊C4—441no—
1328C22⋊C4—441no—
1329C22⋊C4—441no—
1330C42—22no—
1331C42—22no—
1332C42—22no—
1333C42—22no—
1334C42—22no—
1335C42—114no—
1336C42—114no—
1337C42—222no—
1338C42—222no—
1339C42—222no—
1340C42—222no—
1341C42—222no—
1342C42—222no—
1343C42—222no—
1344C42—222no—
1345C42—222no—
1346C42—222no—
1347C42—222no—
1348C42—222no—
1349C42—222no—
1350C42—222no—
1351C42—222no—
1352C42—441no—
1353C11#3476311yescharacteristic, complemented, Sylow
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—112no—
1362C23—112no—
1363C23—112no—
1364C23—112no—
1365C23—221no—
1366C23—221no—
1367C23—221no—
1368C23—221no—
1369C23—221no—
1370C23—221no—
1371C23—221no—
1372C23—221no—
1373C23—221no—
1374C23—221no—
1375C23—221no—
1376C23—221no—
1377C23—221no—
1378C23—221no—
1379C23—221no—
1380C23—221no—
1381C23—221no—
1382C23C24×D1111yescharacteristic
1383Q8—444no—
1384Q8—444no—
1385D4—228no—
1386D4—444no—
1387D4—444no—
1388D4—444no—
1389D4—444no—
1390D4—444no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
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—112no—
1427C2×C4—112no—
1428C2×C4—112no—
1429C2×C4—112no—
1430C2×C4—112no—
1431C2×C4—112no—
1432C2×C4—112no—
1433C2×C4—112no—
1434C2×C4—112no—
1435C2×C4—228no—
1436C2×C4—228no—
1437C2×C4—228no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
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—444no—
1469C2×C4—444no—
1470C2×C4—444no—
1471C2×C4—444no—
1472C2×C4—444no—
1473C2×C4—444no—
1474C2×C4—444no—
1475C2×C4—444no—
1476C2×C4—444no—
1477C2×C4C2×D4×D1112yes—
1478C2×C4C2×D4×D1112yes—
1479C2×C4C2×D4×D1112yes—
1480C2×C4#41×D1112yes—
1481C2×C4#41×D1112yes—
1482C2×C4#41×D1112yes—
1483C2×C4#41×D1112yes—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—114no—
1492C22—222no—
1493C22—222no—
1494C22—222no—
1495C22—222no—
1496C22—222no—
1497C22—222no—
1498C22—222no—
1499C22—222no—
1500C22—222no—
1501C22—441no—
1502C22—441no—
1503C22—441no—
1504C22—441no—
1505C22—441no—
1506C22—441no—
1507C22—441no—
1508C22—441no—
1509C22—441no—
1510C22—441no—
1511C22—441no—
1512C22C22×D4×D1111yescharacteristic
1513C22C2×#41×D1111yescharacteristic
1514C22C2×#41×D1111yescharacteristic
1515C22C2×#41×D1111yescharacteristic
1516C22C2×#41×D1111yescharacteristic
1517C22D11×2−1+411yescharacteristic
1518C22#1062345711yescharacteristic
1519C4—22no—
1520C4—22no—
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—114no—
1534C4—114no—
1535C4—222no—
1536C4—222no—
1537C4—222no—
1538C4—441no—
1539C4—441no—
1540C4—441no—
1541C4—441no—
1542C4—441no—
1543C4—441no—
1544C4—441no—
1545C4—441no—
1546C2—81no—
1547C2—224no—
1548C2—442no—
1549C2—881no—
1550C2D11×#52911yescharacteristic
1551C2D11×#53211yescharacteristic
1552C2#1308204811yescharacteristic
1553C2D11×#54711yescharacteristic
1554C2#1308210511yescharacteristic
1555C2#1308218111yescharacteristic
1556C2#1308223011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2519C2
prime radical#13072051C2
hypercenter#2519D11
hypocenterC11#34763
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2519

Complements

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

NH ≅ G/Ntype
1. C2×#10623222C2semidirect
2. C2×#10623237C2semidirect
3. #13073321C2semidirect
4. #13073313C2semidirect
5. #13073289C2semidirect
6. #13073201C2semidirect
7. #13073131C2semidirect
8. #13073082C2semidirect
9. #13073037C2semidirect
10. #13072978C2semidirect
11. #13072941C2semidirect
12. #13072939C2semidirect
13. #13072919C2semidirect
14. #13072313C2semidirect
15. #13072174C2semidirect
16. #13072172C2semidirect
18. #13071893C2semidirect
19. #13071891C2semidirect
20. #13071881C2semidirect
21. #13071880C2semidirect
22. #13071187C2semidirect
23. #13071143C2semidirect
24. #13071137C2semidirect
25. #13071128C2semidirect
26. #13071128C2semidirect
27. #13071076C2semidirect
28. #13071022C2semidirect
29. C4×#66946C2semidirect
30. C4×C4⋊C4×D11C2semidirect
31. C11×#2519C2semidirect
322. #66946D4semidirect
581. #2519D11semidirect
954. Dic11#529semidirect
1353. C11#34763semidirect

Maximal subgroups

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

subgroupindex
C2×#106232222
C2×#106232372
#130733212
#130733132
#130732892
#130732012
#130731312
#130730822
#130730372
#130729782
#130729412
#130729392
#130729192
#130723132
#130721742
#130721722
#130720512
#130718932
#130718912
#130718812
#130718802
#130711872
#130711432
#130711372
#130711282
#130710762
#130710222
C4×#669462
C4×C4⋊C4×D112
C11×#25192
#3476311