Finite Group Databasebeta

← #14961324

Subgroups — #14961324

Order 2816.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623241C211yesmaximal, characteristic, complemented
2C2×#10623209C211yesmaximal, characteristic, complemented
3#13076948C211yesmaximal, characteristic, complemented
4#13076913C211yesmaximal, characteristic, complemented
5#13075535C211yesmaximal, characteristic, complemented
6#13075446C211yesmaximal, characteristic, complemented
7#13075382C211yesmaximal, characteristic, complemented
8#13075217C211yesmaximal, characteristic, complemented
9#13075197C211yesmaximal, characteristic, complemented
10#13075168C211yesmaximal, characteristic, complemented
11#13075091C211yesmaximal, characteristic, complemented
12#13075045C211yesmaximal, characteristic, complemented
13#13075019C211yesmaximal, characteristic, complemented
14#13075014C211yesmaximal, characteristic, complemented
15#13074991C211yesmaximal, characteristic, complemented
16#13074920C211yesmaximal, characteristic, complemented
17#13074904C211yesmaximal, characteristic, complemented
18#13074840C211yesmaximal, characteristic, complemented
19#13074821C211yesmaximal, characteristic, complemented
20#13074765C211yesmaximal, characteristic, complemented
21#13074743C211yesmaximal, characteristic, complemented
22#13074298C211yesmaximal, characteristic, complemented
23#13074251C211yesmaximal, characteristic, complemented
24#13074226C211yesmaximal, characteristic, complemented
25#13074216C211yesmaximal, characteristic, complemented
26#13074103C211yesmaximal, characteristic, complemented
27#13073768C211yesmaximal, characteristic, complemented
28#13072043C211yesmaximal, characteristic, complemented
29#13071996C211yesmaximal, characteristic, complemented
30#13071052C211yesmaximal, characteristic, complemented
31C11×#2715C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic, complemented
33C2×C11×#124C2211yescharacteristic
34C2×#67000C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×#66992C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66983C2211yescharacteristic
39C22×C4×Dic11C2211yescharacteristic, complemented
40#10623241—28no—
41#10623209—28no—
42C2×#66951C2211yescharacteristic
43C2×#66950C2211yescharacteristic
44C2×#66950C2211yescharacteristic, complemented
45C2×#66949C2211yescharacteristic, complemented
46C2×#66947C2211yescharacteristic
47C2×#66945C2211yescharacteristic
48C2×#66945C2211yescharacteristic, complemented
49C2×#66941C2211yescharacteristic, complemented
50C2×#66939C2211yescharacteristic
51C2×#66939C2211yescharacteristic, complemented
52C2×#66938C2211yescharacteristic
53C2×#66938C2211yescharacteristic
54C2×#66938C2211yescharacteristic, complemented
55C2×#66937C2211yescharacteristic
56C2×#66937C2211yescharacteristic
57C2×#66937C2211yescharacteristic
58C2×#66936C2211yescharacteristic
59C2×#66935C2211yescharacteristic
60C2×#66935C2211yescharacteristic
61C2×(C22⋊D11)⋊C4C2211yescharacteristic
62C2×C22⋊C4×D11C2211yescharacteristic
63C2×#66932C2211yescharacteristic
64C2×#66931C2211yescharacteristic, complemented
65C2×#66929C2211yescharacteristic
66C2×#66928C2211yescharacteristic
67C2×C4×D44C2211yescharacteristic
68C2×C4×Dic22C2211yescharacteristic, complemented
69C11×#397C2211yescharacteristic
70C11×#397C2211yescharacteristic, complemented
71C11×#396C2211yescharacteristic
72C11×#396C2211yescharacteristic
73C11×#395C2211yescharacteristic, complemented
74C11×#394C2211yescharacteristic
75C11×#391C2211yescharacteristic, complemented
76C11×#389C2211yescharacteristic, complemented
77C11×#388C2211yescharacteristic
78C11×#387C2211yescharacteristic, complemented
79C11×#386C2211yescharacteristic
80C11×#385C2211yescharacteristic, complemented
81C11×#380C2211yescharacteristic, complemented
82#10622844C2211yescharacteristic, complemented
83#10622843C2211yescharacteristic, complemented
84#10622836C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622826C2211yescharacteristic
87#10622826C2211yescharacteristic, complemented
88#10622607C2211yescharacteristic
89#10622607C2211yescharacteristic, complemented
90#10622606C2211yescharacteristic
91#10622606C2211yescharacteristic
92#10622605C2211yescharacteristic
93#10622604C2211yescharacteristic
94#10622604C2211yescharacteristic
95#10622604C2211yescharacteristic
96#10622604C2211yescharacteristic
97#10622603C2211yescharacteristic
98#10622603C2211yescharacteristic
99#10622603C2211yescharacteristic, complemented
100#10622602C2211yescharacteristic
101#10622602C2211yescharacteristic, complemented
102#10622602C2211yescharacteristic, complemented
103#10622601C2211yescharacteristic
104#10622601C2211yescharacteristic
105#10622601C2211yescharacteristic
106#10622601C2211yescharacteristic, complemented
107#10622600C2211yescharacteristic, complemented
108#10622598C2211yescharacteristic, complemented
109#10622598C2211yescharacteristic, complemented
110#10622598C2211yescharacteristic, complemented
111#10622597C2211yescharacteristic, complemented
112#10622597C2211yescharacteristic, complemented
113#10622592C2211yescharacteristic, complemented
114#10622591C2211yescharacteristic, complemented
115C4⋊C4×Dic11C2211yescharacteristic, complemented
116#10622574C2211yescharacteristic
117#10622574C2211yescharacteristic
118#10622574C2211yescharacteristic
119#10622574C2211yescharacteristic
120#10622573C2211yescharacteristic
121#10622573C2211yescharacteristic, complemented
122#10622572C2211yescharacteristic
123#10622572C2211yescharacteristic, complemented
124#10622571C2211yescharacteristic
125#10622571C2211yescharacteristic
126#10622571C2211yescharacteristic, complemented
127#10622571C2211yescharacteristic, complemented
128#10622570C2211yescharacteristic
129#10622570C2211yescharacteristic
130#10622569C2211yescharacteristic
131#10622568C2211yescharacteristic
132#10622568C2211yescharacteristic
133#10622568C2211yescharacteristic
134#10622565C2211yescharacteristic, complemented
135#10622564C2211yescharacteristic
136#10622564C2211yescharacteristic
137#10622564C2211yescharacteristic
138#10622563C2211yescharacteristic, complemented
139#10622562C2211yescharacteristic
140#10622560C2211yescharacteristic
141#10622560C2211yescharacteristic
142#10622557C2211yescharacteristic
143#10622557C2211yescharacteristic
144C22⋊C4×Dic11C2211yescharacteristic, complemented
145#10622553C2211yescharacteristic, complemented
146#10622552C2211yescharacteristic
147#10622546C2211yescharacteristic, complemented
148#10622542C2211yescharacteristic, complemented
149#10622288C2211yescharacteristic
150#10622288C2211yescharacteristic, complemented
151#10622288C2211yescharacteristic, complemented
152#10622287C2211yescharacteristic
153#10622287C2211yescharacteristic
154#10622286C2211yescharacteristic
155#10622286C2211yescharacteristic
156#10622286C2211yescharacteristic
157#10622286C2211yescharacteristic, complemented
158#10622285C2211yescharacteristic
159#10622285C2211yescharacteristic
160#10622284C2211yescharacteristic
161#10622284C2211yescharacteristic
162#10622283C2211yescharacteristic
163#10622283C2211yescharacteristic
164#10622283C2211yescharacteristic
165#10622283C2211yescharacteristic
166#10622283C2211yescharacteristic, complemented
167#10622283C2211yescharacteristic, complemented
168#10622283C2211yescharacteristic, complemented
169#10622283C2211yescharacteristic, complemented
170#10622282C2211yescharacteristic
171#10622282C2211yescharacteristic, complemented
172#10622279C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622277C2211yescharacteristic
178#10622277C2211yescharacteristic
179#10622273C2211yescharacteristic, complemented
180#10622271C2211yescharacteristic, complemented
181#10622269C2211yescharacteristic, complemented
182#10622268C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622261C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C22×D44C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C11×#126—24no—
214C11×#124—24no—
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×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244#67000—24no—
245#66999—24no—
246#66992—24no—
247#66990—24no—
248#66983—42no—
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×(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×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×C4×Dic11—42no—
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316#66951—24no—
317#66950—24no—
318#66950—42no—
319#66949—24no—
320#66947—24no—
321#66945—24no—
322#66945—42no—
323#66941—24no—
324#66939—24no—
325#66939—24no—
326#66938—24no—
327#66938—24no—
328#66938—42no—
329#66937—24no—
330#66937—24no—
331#66937—24no—
332#66936—24no—
333#66935—24no—
334#66935—42no—
335(C22⋊D11)⋊C4D418yescomplemented
336C22⋊C4×D11—24no—
337#66932—24no—
338#66931—24no—
339#66929—24no—
340#66928—24no—
341C4×D44—24no—
342C4×Dic22—24no—
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
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379#36745—111nomaximal, Sylow
380C24×C11C2411yescharacteristic
381C24×C11C2411yescharacteristic
382C23×D11—22no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11—41no—
387C23×D11—41no—
388C23×D11—41no—
389C23×D11C2411yescharacteristic
390C23×D11C2411yescharacteristic
391C23×D11C2411yescharacteristic
392C23×D11C2411yescharacteristic
393C2×Q8×C11—22no—
394C2×Q8×C11—41no—
395C2×Q8×C11—41no—
396C2×D4×C11—22no—
397C2×D4×C11—41no—
398C2×D4×C11—41no—
399C22×C4×C11—22no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C2×C22⋊D11—22no—
416C2×C22⋊D11—22no—
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
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—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11C2×D414yes—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11C2×D414yes—
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C2×D44—22no—
452C2×D44—22no—
453C2×D44—22no—
454C2×D44—22no—
455C2×D44—41no—
456C2×D44—41no—
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×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11C2×D414yes—
478C2×Dic22—22no—
479C2×Dic22—22no—
480C2×Dic22—22no—
481C2×Dic22—41no—
482C2×Dic22—41no—
483C2×Dic22—41no—
484C2×Dic22—41no—
485C2×Dic22—41no—
486C2×Dic22—41no—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—22no—
489C11×C4⋊C4—22no—
490C11×C4⋊C4—22no—
491C11×C4⋊C4—41no—
492C11×C4⋊C4—41no—
493C11×C4⋊C4—41no—
494C11×C4⋊C4—41no—
495C11×C4⋊C4—41no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—41no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4—41no—
505C11×C22⋊C4—41no—
506C11×C22⋊C4C2×D414yes—
507C42×C11—22no—
508C42×C11—22no—
509C22⋊Dic11—22no—
510C22⋊Dic11—22no—
511C22⋊Dic11—22no—
512C22⋊Dic11—41no—
513C22⋊Dic11—41no—
514C22⋊Dic11—41no—
515C22⋊Dic11—41no—
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—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534(C2×D11)⋊C4—41no—
535(C2×D11)⋊C4—41no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
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)⋊C4C2×D414yes—
554C4⋊Dic11—22no—
555C4⋊Dic11—22no—
556C4⋊Dic11—22no—
557C4⋊Dic11—22no—
558C4⋊Dic11—22no—
559C4⋊Dic11—22no—
560C4⋊Dic11—41no—
561C4⋊Dic11—41no—
562C4⋊Dic11—41no—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—22no—
566Dic11⋊C4—22no—
567Dic11⋊C4—22no—
568Dic11⋊C4—22no—
569Dic11⋊C4—41no—
570Dic11⋊C4—41no—
571Dic11⋊C4—41no—
572Dic11⋊C4C2×D414yes—
573C4×Dic11—22no—
574C4×Dic11—22no—
575C4×Dic11—22no—
576C4×Dic11—22no—
577C4×Dic11—41no—
578C4×Dic11—41no—
579C4×Dic11—41no—
580C4×Dic11—41no—
581C4×Dic11C2×D414yes—
582C2×#542—111no—
583C2×#538—111no—
584#2854—111no—
585#2850—111no—
586#2723—111no—
587#2716—111no—
588#2715D1111yescharacteristic, complemented
589#2712—111no—
590#2700—111no—
591#2698—111no—
592#2696—111no—
593#2691—111no—
594#2688—111no—
595#2686—111no—
596#2685—111no—
597#2684—111no—
598#2676—111no—
599#2674—111no—
600#2670—111no—
601#2668—111no—
602#2663—111no—
603#2661—111no—
604#2610—111no—
605#2604—111no—
606#2602—111no—
607#2601—111no—
608#2592—111no—
609#2561—111no—
610#2415—111no—
611#2411—111no—
612#2290—111no—
613C23×C11—21no—
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×C11C22×D412yes—
627C23×C11C2511yescharacteristic
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
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—44no—
656C22×D11—82no—
657C22×D11—82no—
658C22×D11—82no—
659C22×D11—82no—
660C22×D11—82no—
661C22×D11—82no—
662C22×D11C22×D412yes—
663Q8×C11—82no—
664D4×C11—82no—
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—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—44no—
702C2×C4×C11C22×D412yes—
703C2×C4×C11C22×D412yes—
704C2×C4×C11H(5,𝔽2)12yes—
705C22⋊D11—44no—
706C22⋊D11—82no—
707C22⋊D11—82no—
708C22⋊D11—82no—
709C22⋊D11—82no—
710C22⋊D11—82no—
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—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—44no—
745C2×Dic11—44no—
746C2×Dic11C22×D412yes—
747C2×Dic11C22×D412yes—
748C2×Dic11C22×D412yes—
749D44—44no—
750D44—82no—
751D44—82no—
752D44—82no—
753D44—82no—
754C4×D11—44no—
755C4×D11—44no—
756C4×D11—82no—
757C4×D11—82no—
758Dic22—44no—
759Dic22—82no—
760Dic22—82no—
761#542—228no—
762#538—228no—
763C2×C4⋊Q8—111no—
764C2×#126—111no—
765C2×#126—111no—
766C2×#126—111no—
767C2×#126C2×D1111yescharacteristic, complemented
768C2×#124—111no—
769C2×#124—111no—
770C2×#124—111no—
771C2×#124—111no—
772C2×#124—111no—
773C2×#124C2×D1111yescharacteristic
774C2×#123—111no—
775C2×#123—111no—
776C2×#123—111no—
777C2×#123—111no—
778C2×C22⋊Q8—111no—
779C2×C22⋊Q8—111no—
780C2×C22⋊Q8—111no—
781C2×C22⋊Q8—111no—
782C2×C22⋊Q8—111no—
783C2×#121—111no—
784C2×#121—111no—
785C2×#121—111no—
786C2×#121—111no—
787C2×#121—111no—
788C2×#120—111no—
789C2×#120—111no—
790C2×#120—111no—
791C2×C4×Q8—111no—
792C2×C4×D4—111no—
793C2×C4×D4—111no—
794C2×#117—111no—
795C2×#117—111no—
796C22×C22⋊C4—111no—
797C22×C42—111no—
798#400—111no—
799#400—111no—
800#399—111no—
801#399—111no—
802#398—111no—
803#398—111no—
804#397—111no—
805#397—111no—
806#397—111no—
807#397—111no—
808#397—111no—
809#397—111no—
810#397—111no—
811#397—111no—
812#397C2×D1111yescharacteristic
813#397C2×D1111yescharacteristic, complemented
814#396—111no—
815#396—111no—
816#396C2×D1111yescharacteristic
817#396C2×D1111yescharacteristic
818#395—111no—
819#395—111no—
820#395C2×D1111yescharacteristic, complemented
821#394—111no—
822#394—111no—
823#394—111no—
824#394—111no—
825#394—111no—
826#394—111no—
827#394—111no—
828#394—111no—
829#394—111no—
830#394—111no—
831#394—111no—
832#394—111no—
833#394C2×D1111yescharacteristic
834#393—111no—
835#393—111no—
836#393—111no—
837#393—111no—
838#393—111no—
839#393—111no—
840#393—111no—
841#392—111no—
842#392—111no—
843#392—111no—
844#392—111no—
845#392—111no—
846#391—111no—
847#391—111no—
848#391—111no—
849#391C2×D1111yescharacteristic, complemented
850#390—111no—
851#390—111no—
852#390—111no—
853#390—111no—
854#390—111no—
855#390—111no—
856#390—111no—
857#389—111no—
858#389—111no—
859#389—111no—
860#389—111no—
861#389C2×D1111yescharacteristic, complemented
862#388—111no—
863#388—111no—
864#388—111no—
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388C2×D1111yescharacteristic
882#387—111no—
883#387—111no—
884#387—111no—
885#387—111no—
886#387—111no—
887#387C2×D1111yescharacteristic, complemented
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#386—111no—
899#386—111no—
900#386C2×D1111yescharacteristic
901#385—111no—
902#385—111no—
903#385—111no—
904#385—111no—
905#385C2×D1111yescharacteristic, complemented
906#382—111no—
907#381—111no—
908#381—111no—
909#380—111no—
910#380C2×D1111yescharacteristic, complemented
911#379—111no—
912#379—111no—
913#379—111no—
914C4×C4⋊C4—111no—
915C4×C22⋊C4—111no—
916C4×C22⋊C4—111no—
917#376—111no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11C23×D411yescharacteristic
933C22×C11C2×H(5,𝔽2)11yescharacteristic
934C22×C11#58511yescharacteristic
935C22×C11#58511yescharacteristic
936C22×C11#58511yescharacteristic
937C22×C11#58511yescharacteristic
938C22×C11#58511yescharacteristic
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—41no—
943C2×D11—41no—
944C2×D11—41no—
945C2×D11—41no—
946C2×D11—41no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—41no—
967C2×D11—88no—
968C4×C11—22no—
969C4×C11—22no—
970C4×C11—22no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977C4×C11—41no—
978C4×C11—41no—
979C4×C11—41no—
980C4×C11—41no—
981Dic11—22no—
982Dic11—22no—
983Dic11—22no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990Dic11—41no—
991Dic11—41no—
992Dic11—41no—
993C25—111no—
994C22×Q8—111no—
995C22×Q8—111no—
996C22×Q8—111no—
997C22×Q8C22×D1111yescharacteristic
998C22×D4—111no—
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4—111no—
1002C22×D4—111no—
1003C22×D4—111no—
1004C22×D4—111no—
1005C22×D4—111no—
1006C22×D4—111no—
1007C22×D4—111no—
1008C22×D4—111no—
1009C22×D4C22×D1111yescharacteristic
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4—111no—
1016C23×C4C22×D1111yescharacteristic
1017C4⋊Q8—224no—
1018#126—24no—
1019#126—224no—
1020#126—224no—
1021#126—224no—
1022#124—24no—
1023#124—224no—
1024#124—224no—
1025#124—224no—
1026#124—224no—
1027#124—442no—
1028#123—224no—
1029#123—224no—
1030#123—224no—
1031#123—224no—
1032C22⋊Q8—224no—
1033C22⋊Q8—224no—
1034C22⋊Q8—224no—
1035C22⋊Q8—224no—
1036C22⋊Q8—442no—
1037#121—224no—
1038#121—224no—
1039#121—224no—
1040#121—224no—
1041#121—442no—
1042#120—224no—
1043#120—224no—
1044#120—442no—
1045C4×Q8—224no—
1046C4×D4—118no—
1047C4×D4—224no—
1048#117—224no—
1049#117—442no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4C22×D1111yescharacteristic
1070C2×C4⋊C4C22×D1111yescharacteristic
1071C2×C4⋊C4C22×D1111yescharacteristic
1072C2×C4⋊C4C22×D1111yescharacteristic
1073C2×C4⋊C4C22×D1111yescharacteristic
1074C2×C4⋊C4C22×D1111yescharacteristic
1075C2×C4⋊C4C22×D1111yescharacteristic
1076C2×C4⋊C4C22×D1111yescharacteristic
1077C2×C4⋊C4C22×D1111yescharacteristic
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
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—224no—
1124C2×C22⋊C4C22×D1111yescharacteristic
1125C2×C22⋊C4C22×D1111yescharacteristic
1126C2×C22⋊C4C22×D1111yescharacteristic
1127C2×C22⋊C4C22×D1111yescharacteristic
1128C2×C22⋊C4C22×D1111yescharacteristic
1129C2×C22⋊C4C22×D1111yescharacteristic
1130C2×C22⋊C4C22×D1111yescharacteristic
1131C2×C22⋊C4C22×D1111yescharacteristic
1132C2×C22⋊C4C22×D1111yescharacteristic
1133C2×C22⋊C4C22×D1111yescharacteristic
1134C2×C22⋊C4C22×D1111yescharacteristic
1135C2×C42—111no—
1136C2×C42—111no—
1137C2×C42—111no—
1138C2×C42—111no—
1139C2×C42—111no—
1140C2×C42—111no—
1141C2×C42—111no—
1142C2×C42—111no—
1143C2×C42—111no—
1144C2×C42—442no—
1145C2×C42C22×D1111yescharacteristic
1146C2×C42C22×D1111yescharacteristic
1147#95—111no—
1148#95—111no—
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#95C22×D1111yescharacteristic
1174#95C22×D1111yescharacteristic
1175#95C22×D1111yescharacteristic
1176#95C22×D1111yescharacteristic
1177#95C22×D1111yescharacteristic
1178#95C22×D1111yescharacteristic
1179#95C22×D1111yescharacteristic
1180#95C22×D1111yescharacteristic
1181#95C22×D1111yescharacteristic
1182#95C22×D1111yescharacteristic
1183C2×C11—42no—
1184C2×C11—81no—
1185C2×C11#344911yescharacteristic
1186C2×C11#349611yescharacteristic
1187C2×C11#350011yescharacteristic
1188C2×C11#353311yescharacteristic
1189C2×C11#354011yescharacteristic
1190C2×C11#356611yescharacteristic
1191C2×C11#356811yescharacteristic
1192D11—42no—
1193D11—81no—
1194D11—81no—
1195D11—81no—
1196C24—111no—
1197C24—111no—
1198C24—111no—
1199C24—111no—
1200C24—222no—
1201C24—441no—
1202C24—441no—
1203C24—441no—
1204C24—441no—
1205C24—441no—
1206C24—441no—
1207C24C23×D1111yescharacteristic
1208C24C23×D1111yescharacteristic
1209C2×Q8—22no—
1210C2×Q8—41no—
1211C2×Q8—41no—
1212C2×Q8—222no—
1213C2×Q8—222no—
1214C2×Q8—222no—
1215C2×Q8—441no—
1216C2×Q8—441no—
1217C2×Q8—441no—
1218C2×Q8—441no—
1219C2×Q8—441no—
1220C2×Q8—441no—
1221C2×D4—22no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—114no—
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—441no—
1234C2×D4—441no—
1235C2×D4—441no—
1236C2×D4—441no—
1237C2×D4—441no—
1238C2×D4—441no—
1239C2×D4—441no—
1240C2×D4—441no—
1241C2×D4—441no—
1242C2×D4—441no—
1243C2×D4—441no—
1244C2×D4—441no—
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—
1257C22×C4—22no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—111no—
1261C22×C4—111no—
1262C22×C4—111no—
1263C22×C4—114no—
1264C22×C4—114no—
1265C22×C4—111no—
1266C22×C4—111no—
1267C22×C4—111no—
1268C22×C4—111no—
1269C22×C4—111no—
1270C22×C4—111no—
1271C22×C4—111no—
1272C22×C4—111no—
1273C22×C4—111no—
1274C22×C4—222no—
1275C22×C4—222no—
1276C22×C4—222no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4C23×D1111yescharacteristic
1291C22×C4C23×D1111yescharacteristic
1292C22×C4C23×D1111yescharacteristic
1293C22×C4C23×D1111yescharacteristic
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—114no—
1313C4⋊C4—222no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—222no—
1318C4⋊C4—222no—
1319C4⋊C4—222no—
1320C4⋊C4—222no—
1321C4⋊C4—222no—
1322C4⋊C4—222no—
1323C4⋊C4—222no—
1324C4⋊C4—222no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C4⋊C4—441no—
1328C4⋊C4—441no—
1329C4⋊C4—441no—
1330C4⋊C4—441no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—114no—
1342C22⋊C4—222no—
1343C22⋊C4—222no—
1344C22⋊C4—222no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
1359C22⋊C4—222no—
1360C22⋊C4—222no—
1361C22⋊C4—441no—
1362C22⋊C4—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4—441no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C22⋊C4—441no—
1373C22⋊C4—441no—
1374C22⋊C4—441no—
1375C22⋊C4—441no—
1376C22⋊C4—441no—
1377C22⋊C4—441no—
1378C22⋊C4—441no—
1379C22⋊C4—441no—
1380C22⋊C4—441no—
1381C22⋊C4—441no—
1382C22⋊C4—441no—
1383C22⋊C4—441no—
1384C22⋊C4—441no—
1385C22⋊C4—441no—
1386C22⋊C4D4×D1114yes—
1387C42—22no—
1388C42—22no—
1389C42—114no—
1390C42—222no—
1391C42—222no—
1392C42—222no—
1393C42—222no—
1394C42—441no—
1395C42—441no—
1396C42—441no—
1397C42—441no—
1398C11#3674511yescharacteristic, complemented, Sylow
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—112no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—221no—
1431C23—221no—
1432C23—221no—
1433C23—221no—
1434C23—221no—
1435C23—221no—
1436C23—221no—
1437C23—221no—
1438C23—221no—
1439C23—221no—
1440C23—444no—
1441C23—882no—
1442C23—882no—
1443C23—882no—
1444C23—882no—
1445C23—882no—
1446C23—882no—
1447C23C2×D4×D1112yes—
1448C23C24×D1111yescharacteristic
1449Q8—82no—
1450Q8—444no—
1451Q8—882no—
1452Q8—882no—
1453D4—82no—
1454D4—444no—
1455D4—444no—
1456D4—882no—
1457D4—882no—
1458D4—882no—
1459D4—882no—
1460D4—882no—
1461D4—882no—
1462D4—882no—
1463D4—882no—
1464D4—882no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—44no—
1502C2×C4—112no—
1503C2×C4—112no—
1504C2×C4—112no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—444no—
1539C2×C4—444no—
1540C2×C4—444no—
1541C2×C4—444no—
1542C2×C4—882no—
1543C2×C4—882no—
1544C2×C4C2×D4×D1112yes—
1545C2×C4C2×D4×D1112yes—
1546C2×C4#6704212yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—222no—
1562C22—222no—
1563C22—222no—
1564C22—441no—
1565C22—441no—
1566C22—441no—
1567C22—441no—
1568C22—441no—
1569C22—441no—
1570C22—441no—
1571C22—441no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—441no—
1581C22—441no—
1582C22—441no—
1583C22—441no—
1584C22—441no—
1585C22—441no—
1586C22—441no—
1587C22—441no—
1588C22—441no—
1589C22—888no—
1590C22C22×D4×D1111yescharacteristic
1591C22C2×#6704211yescharacteristic
1592C22#1062345311yescharacteristic
1593C22#1062345511yescharacteristic
1594C22#1062345511yescharacteristic
1595C22#1062345711yescharacteristic
1596C22#1062345711yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—222no—
1611C4—222no—
1612C4—222no—
1613C4—441no—
1614C4—441no—
1615C4—441no—
1616C4—441no—
1617C4—441no—
1618C4—441no—
1619C4—441no—
1620C4—441no—
1621C4—441no—
1622C2—42no—
1623C2—81no—
1624C2—442no—
1625C2—881no—
1626C2—881no—
1627C2—881no—
1628C2#1308194411yescharacteristic
1629C2#1308237411yescharacteristic
1630C2#1308240211yescharacteristic
1631C2#1308278411yescharacteristic
1632C2#1308289211yescharacteristic
1633C2#1308329711yescharacteristic
1634C2#1308330811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2715C2
hypercenter#2715D11
hypocenterC11#36745
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2715

Complements

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

NH ≅ G/Ntype
1. C2×#10623241C2semidirect
2. C2×#10623209C2semidirect
3. #13076948C2semidirect
4. #13076913C2semidirect
5. #13075535C2semidirect
6. #13075446C2semidirect
7. #13075382C2semidirect
8. #13075217C2semidirect
9. #13075197C2semidirect
10. #13075168C2semidirect
11. #13075091C2semidirect
12. #13075045C2semidirect
13. #13075019C2semidirect
14. #13075014C2semidirect
15. #13074991C2semidirect
16. #13074920C2semidirect
17. #13074904C2semidirect
18. #13074840C2semidirect
19. #13074821C2semidirect
20. #13074765C2semidirect
21. #13074743C2semidirect
22. #13074298C2semidirect
23. #13074251C2semidirect
24. #13074226C2semidirect
25. #13074216C2semidirect
26. #13074103C2semidirect
27. #13073768C2semidirect
28. #13072043C2semidirect
29. #13071996C2semidirect
30. #13071052C2semidirect
31. C11×#2715C2semidirect
32. C2×C11×#126C22semidirect
39. C22×C4×Dic11C22semidirect
44. C2×#66950C22semidirect
45. C2×#66949C22semidirect
48. C2×#66945C22semidirect
49. C2×#66941C22semidirect
51. C2×#66939C22semidirect
54. C2×#66938C22semidirect
64. C2×#66931C22semidirect
68. C2×C4×Dic22C22semidirect
70. C11×#397C22semidirect
73. C11×#395C22semidirect
75. C11×#391C22semidirect
76. C11×#389C22semidirect
78. C11×#387C22semidirect
80. C11×#385C22semidirect
81. C11×#380C22semidirect
82. #10622844C22semidirect
83. #10622843C22semidirect
87. #10622826C22semidirect
89. #10622607C22semidirect
99. #10622603C22semidirect
101. #10622602C22semidirect
102. #10622602C22semidirect
106. #10622601C22semidirect
107. #10622600C22semidirect
108. #10622598C22semidirect
109. #10622598C22semidirect
110. #10622598C22semidirect
111. #10622597C22semidirect
112. #10622597C22semidirect
113. #10622592C22semidirect
114. #10622591C22semidirect
115. C4⋊C4×Dic11C22semidirect
121. #10622573C22semidirect
123. #10622572C22semidirect
126. #10622571C22semidirect
127. #10622571C22semidirect
134. #10622565C22semidirect
138. #10622563C22semidirect
144. C22⋊C4×Dic11C22semidirect
145. #10622553C22semidirect
147. #10622546C22semidirect
148. #10622542C22semidirect
150. #10622288C22semidirect
151. #10622288C22semidirect
157. #10622286C22semidirect
166. #10622283C22semidirect
167. #10622283C22semidirect
168. #10622283C22semidirect
169. #10622283C22semidirect
171. #10622282C22semidirect
175. #10622278C22semidirect
176. #10622278C22semidirect
179. #10622273C22semidirect
180. #10622271C22semidirect
181. #10622269C22semidirect
182. #10622268C22semidirect
183. #10622266C22semidirect
184. #10622265C22semidirect
185. #10622263C22semidirect
186. #10622261C22semidirect
187. #10622260C22semidirect
188. #10622259C22semidirect
335. (C22⋊D11)⋊C4D4semidirect
588. #2715D11semidirect
767. C2×#126C2×D11semidirect
813. #397C2×D11semidirect
820. #395C2×D11semidirect
849. #391C2×D11semidirect
861. #389C2×D11semidirect
887. #387C2×D11semidirect
905. #385C2×D11semidirect
910. #380C2×D11semidirect
1398. C11#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#106232412
C2×#106232092
#130769482
#130769132
#130755352
#130754462
#130753822
#130752172
#130751972
#130751682
#130750912
#130750452
#130750192
#130750142
#130749912
#130749202
#130749042
#130748402
#130748212
#130747652
#130747432
#130742982
#130742512
#130742262
#130742162
#130741032
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