Finite Group Databasebeta

← #14960824

Subgroups — #14960824

Order 2816.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623176C211yesmaximal, characteristic, complemented
2C2×#10623137C211yesmaximal, characteristic, complemented
3#13076911C211yesmaximal, characteristic, complemented
4#13076900C211yesmaximal, characteristic, complemented
5#13075325C211yesmaximal, characteristic, complemented
6#13075302C211yesmaximal, characteristic, complemented
7#13075278C211yesmaximal, characteristic, complemented
8#13075255C211yesmaximal, characteristic, complemented
9#13075236C211yesmaximal, characteristic, complemented
10#13075185C211yesmaximal, characteristic, complemented
11#13075182C211yesmaximal, characteristic, complemented
12#13075006C211yesmaximal, characteristic, complemented
13#13074986C211yesmaximal, characteristic, complemented
14#13074981C211yesmaximal, characteristic, complemented
15#13074975C211yesmaximal, characteristic, complemented
16#13074957C211yesmaximal, characteristic, complemented
17#13074955C211yesmaximal, characteristic, complemented
18#13074942C211yesmaximal, characteristic, complemented
19#13074938C211yesmaximal, characteristic, complemented
20#13074539C211yesmaximal, characteristic, complemented
21#13074462C211yesmaximal, characteristic, complemented
22#13074309C211yesmaximal, characteristic, complemented
23#13074238C211yesmaximal, characteristic, complemented
24#13074212C211yesmaximal, characteristic, complemented
25#13074199C211yesmaximal, characteristic, complemented
26#13073962C211yesmaximal, characteristic, complemented
27#13073819C211yesmaximal, characteristic, complemented
28#13071956C211yesmaximal, characteristic, complemented
29#13071948C211yesmaximal, characteristic, complemented
30#13071257C211yesmaximal, characteristic, complemented
31C11×#2681C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic, complemented
35C2×C11×C22⋊Q8C2211yescharacteristic
36C2×C11×C22⋊Q8C2211yescharacteristic, complemented
37C2×C11×#121C2211yescharacteristic
38C2×#66999C2211yescharacteristic
39C2×#66999C2211yescharacteristic
40C2×#66999C2211yescharacteristic, complemented
41C2×#66991C2211yescharacteristic
42C2×#66990C2211yescharacteristic
43C2×#66990C2211yescharacteristic
44C2×D4×Dic11C2211yescharacteristic
45C2×D4×Dic11C2211yescharacteristic
46C2×#66983C2211yescharacteristic
47C2×#66982C2211yescharacteristic
48C2×#66977C2211yescharacteristic
49C22×Dic11⋊C4C2211yescharacteristic, complemented
50#10623176—28no—
51#10623137—28no—
52C2×#66951C2211yescharacteristic
53C2×#66951C2211yescharacteristic, complemented
54C2×#66950C2211yescharacteristic
55C2×#66949C2211yescharacteristic, complemented
56C2×#66947C2211yescharacteristic
57C2×#66947C2211yescharacteristic
58C2×#66947C2211yescharacteristic
59C2×#66945C2211yescharacteristic
60C2×#66943C2211yescharacteristic, complemented
61C2×#66943C2211yescharacteristic, complemented
62C2×#66939C2211yescharacteristic
63C2×#66939C2211yescharacteristic, complemented
64C2×#66937C2211yescharacteristic
65C2×#66936C2211yescharacteristic
66C2×#66936C2211yescharacteristic
67C2×#66935C2211yescharacteristic
68C2×(C22⋊D11)⋊C4C2211yescharacteristic
69C2×(C22⋊D11)⋊C4C2211yescharacteristic
70C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
71C11×#398C2211yescharacteristic, complemented
72C11×#396C2211yescharacteristic, complemented
73C11×#394C2211yescharacteristic
74C11×#394C2211yescharacteristic
75C11×#394C2211yescharacteristic, complemented
76C11×#393C2211yescharacteristic, complemented
77C11×#390C2211yescharacteristic
78C11×#389C2211yescharacteristic, complemented
79C11×#388C2211yescharacteristic, complemented
80C11×#386C2211yescharacteristic
81C11×#385C2211yescharacteristic
82#10622842C2211yescharacteristic, complemented
83#10622836C2211yescharacteristic
84#10622836C2211yescharacteristic
85#10622836C2211yescharacteristic, complemented
86#10622834C2211yescharacteristic
87#10622833C2211yescharacteristic
88#10622833C2211yescharacteristic, complemented
89#10622826C2211yescharacteristic
90#10622825C2211yescharacteristic
91#10622823C2211yescharacteristic, complemented
92#10622607C2211yescharacteristic
93#10622607C2211yescharacteristic, complemented
94#10622607C2211yescharacteristic, complemented
95#10622606C2211yescharacteristic
96#10622606C2211yescharacteristic
97#10622603C2211yescharacteristic
98#10622603C2211yescharacteristic, complemented
99#10622603C2211yescharacteristic, complemented
100#10622602C2211yescharacteristic
101#10622602C2211yescharacteristic
102#10622602C2211yescharacteristic
103#10622602C2211yescharacteristic
104#10622602C2211yescharacteristic
105#10622602C2211yescharacteristic
106#10622600C2211yescharacteristic
107#10622600C2211yescharacteristic
108#10622599C2211yescharacteristic, complemented
109#10622598C2211yescharacteristic, complemented
110#10622598C2211yescharacteristic, complemented
111#10622597C2211yescharacteristic, complemented
112#10622596C2211yescharacteristic, complemented
113#10622594C2211yescharacteristic, complemented
114#10622592C2211yescharacteristic, complemented
115#10622592C2211yescharacteristic, complemented
116#10622589C2211yescharacteristic, complemented
117#10622585C2211yescharacteristic, complemented
118#10622574C2211yescharacteristic
119#10622574C2211yescharacteristic
120#10622574C2211yescharacteristic
121#10622574C2211yescharacteristic, complemented
122#10622574C2211yescharacteristic, complemented
123#10622573C2211yescharacteristic
124#10622573C2211yescharacteristic
125#10622572C2211yescharacteristic
126#10622572C2211yescharacteristic
127#10622572C2211yescharacteristic
128#10622571C2211yescharacteristic
129#10622571C2211yescharacteristic
130#10622571C2211yescharacteristic, complemented
131#10622570C2211yescharacteristic
132#10622570C2211yescharacteristic
133#10622570C2211yescharacteristic
134#10622570C2211yescharacteristic
135#10622570C2211yescharacteristic, complemented
136#10622569C2211yescharacteristic
137#10622568C2211yescharacteristic
138#10622568C2211yescharacteristic
139#10622568C2211yescharacteristic
140#10622566C2211yescharacteristic, complemented
141#10622565C2211yescharacteristic, complemented
142#10622564C2211yescharacteristic
143#10622564C2211yescharacteristic
144#10622564C2211yescharacteristic, complemented
145#10622564C2211yescharacteristic, complemented
146#10622563C2211yescharacteristic, complemented
147#10622561C2211yescharacteristic
148#10622561C2211yescharacteristic
149#10622561C2211yescharacteristic
150#10622561C2211yescharacteristic
151#10622561C2211yescharacteristic, complemented
152#10622561C2211yescharacteristic, complemented
153#10622559C2211yescharacteristic
154#10622559C2211yescharacteristic
155#10622559C2211yescharacteristic
156#10622559C2211yescharacteristic, complemented
157#10622559C2211yescharacteristic, complemented
158#10622559C2211yescharacteristic, complemented
159#10622556C2211yescharacteristic, complemented
160#10622555C2211yescharacteristic, complemented
161#10622553C2211yescharacteristic
162#10622552C2211yescharacteristic
163#10622549C2211yescharacteristic, complemented
164C4×Dic11⋊C4C2211yescharacteristic, complemented
165#10622290C2211yescharacteristic
166#10622288C2211yescharacteristic
167#10622288C2211yescharacteristic
168#10622287C2211yescharacteristic, complemented
169#10622285C2211yescharacteristic
170#10622285C2211yescharacteristic
171#10622283C2211yescharacteristic
172#10622283C2211yescharacteristic
173#10622282C2211yescharacteristic
174#10622281C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622277C2211yescharacteristic
178#10622277C2211yescharacteristic
179#10622274C2211yescharacteristic, complemented
180#10622274C2211yescharacteristic, complemented
181#10622270C2211yescharacteristic, complemented
182#10622270C2211yescharacteristic, complemented
183#10622267C2211yescharacteristic, complemented
184#10622267C2211yescharacteristic, complemented
185#10622267C2211yescharacteristic, complemented
186#10622261C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C2×#4341—24no—
208C2×#4341—42no—
209C2×#4341—42no—
210C22×D44C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×C4×D11—24no—
213C22×C4×D11—42no—
214C22×C4×D11—42no—
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×Dic22C2311yescharacteristic
221C11×#123—42no—
222C11×C22⋊Q8—24no—
223C11×C22⋊Q8—42no—
224C11×#121—24no—
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260#66999—24no—
261#66999—24no—
262#66999—42no—
263#66991—24no—
264#66990—24no—
265#66990—24no—
266D4×Dic11—24no—
267D4×Dic11—24no—
268#66983—24no—
269#66982—42no—
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
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
309#66977—24no—
310C2×Dic11⋊C4—24no—
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334#66951—24no—
335#66951—24no—
336#66950—24no—
337#66949—42no—
338#66947—24no—
339#66947—24no—
340#66947—42no—
341#66945—24no—
342#66943—24no—
343#66943—24no—
344#66939—24no—
345#66939—24no—
346#66937—42no—
347#66936—24no—
348#66936—24no—
349#66935—42no—
350(C22⋊D11)⋊C4—24no—
351(C22⋊D11)⋊C4—24no—
352(C22⋊D11)⋊C4D418yescomplemented
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#36723—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C24×C11C2411yescharacteristic
389C23×D11—22no—
390C23×D11—22no—
391C23×D11—22no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11—41no—
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C23×D11C2411yescharacteristic
399C2×Q8×C11—22no—
400C2×Q8×C11—41no—
401C2×Q8×C11—41no—
402C2×D4×C11—22no—
403C2×D4×C11—22no—
404C2×D4×C11—22no—
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—22no—
408C2×D4×C11—41no—
409C2×D4×C11—41no—
410C2×D4×C11—41no—
411C22×C4×C11—22no—
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11C2×D414yes—
450C22×Dic11—22no—
451C22×Dic11—22no—
452C22×Dic11—22no—
453C22×Dic11—41no—
454C22×Dic11—41no—
455C22×Dic11—41no—
456C22×Dic11—41no—
457C22×Dic11—41no—
458C22×Dic11—41no—
459C22×Dic11—41no—
460C22×Dic11—41no—
461C22×Dic11C2×D414yes—
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475#4341—416no—
476C2×D44—22no—
477C2×D44—22no—
478C2×D44—41no—
479C2×D44—41no—
480C2×D44—41no—
481C2×D44—41no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—22no—
485C2×C4×D11—22no—
486C2×C4×D11—22no—
487C2×C4×D11—22no—
488C2×C4×D11—22no—
489C2×C4×D11—22no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—41no—
495C2×C4×D11—41no—
496C2×C4×D11—416no—
497C2×C4×D11C2×D414yes—
498C2×Dic22—22no—
499C2×Dic22—22no—
500C2×Dic22—41no—
501C11×C4⋊C4—22no—
502C11×C4⋊C4—22no—
503C11×C4⋊C4—22no—
504C11×C4⋊C4—22no—
505C11×C4⋊C4—22no—
506C11×C4⋊C4—22no—
507C11×C4⋊C4—22no—
508C11×C4⋊C4—41no—
509C11×C4⋊C4—41no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—41no—
514C11×C22⋊C4—41no—
515C11×C22⋊C4—41no—
516C11×C22⋊C4—41no—
517C11×C22⋊C4—41no—
518C11×C22⋊C4—41no—
519C11×C22⋊C4—41no—
520C11×C22⋊C4—41no—
521C11×C22⋊C4—41no—
522C11×C22⋊C4C2×D414yes—
523C42×C11—41no—
524C22⋊Dic11—22no—
525C22⋊Dic11—22no—
526C22⋊Dic11—22no—
527C22⋊Dic11—22no—
528C22⋊Dic11—41no—
529C22⋊Dic11—41no—
530C22⋊Dic11—41no—
531C22⋊Dic11—41no—
532C22⋊Dic11—41no—
533C22⋊Dic11—41no—
534C22⋊Dic11—41no—
535C22⋊Dic11—41no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—22no—
545(C2×D11)⋊C4—22no—
546(C2×D11)⋊C4—22no—
547(C2×D11)⋊C4—22no—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—22no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560(C2×D11)⋊C4—41no—
561(C2×D11)⋊C4—41no—
562(C2×D11)⋊C4C2×D414yes—
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—41no—
572C4⋊Dic11—41no—
573C4⋊Dic11—41no—
574C4⋊Dic11—41no—
575Dic11⋊C4—22no—
576Dic11⋊C4—22no—
577Dic11⋊C4—22no—
578Dic11⋊C4—22no—
579Dic11⋊C4—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—41no—
582Dic11⋊C4—41no—
583Dic11⋊C4—41no—
584Dic11⋊C4—41no—
585Dic11⋊C4—41no—
586Dic11⋊C4—41no—
587Dic11⋊C4—41no—
588Dic11⋊C4—41no—
589Dic11⋊C4—41no—
590Dic11⋊C4—41no—
591Dic11⋊C4C2×D414yes—
592C4×Dic11—22no—
593C4×Dic11—22no—
594C4×Dic11—41no—
595C4×Dic11—41no—
596C4×Dic11—41no—
597C4×Dic11C2×D414yes—
598C2×#539—111no—
599C2×#525—111no—
600#2849—111no—
601#2848—111no—
602#2707—111no—
603#2706—111no—
604#2704—111no—
605#2703—111no—
606#2701—111no—
607#2698—111no—
608#2697—111no—
609#2685—111no—
610#2683—111no—
611#2682—111no—
612#2681—111no—
613#2681D1111yescharacteristic, complemented
614#2680—111no—
615#2680—111no—
616#2678—111no—
617#2678—111no—
618#2638—111no—
619#2630—111no—
620#2611—111no—
621#2603—111no—
622#2601—111no—
623#2600—111no—
624#2579—111no—
625#2566—111no—
626#2407—111no—
627#2406—111no—
628#2319—111no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11C22×D412yes—
649C23×C112−1+412yes—
650C23×C11C2511yescharacteristic
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—44no—
671C22×D11—44no—
672C22×D11—44no—
673C22×D11—44no—
674C22×D11—44no—
675C22×D11—44no—
676C22×D11—44no—
677C22×D11C22×D412yes—
678C22×D11H(5,𝔽2)12yes—
679Q8×C11—82no—
680D4×C11—44no—
681D4×C11—44no—
682D4×C11—44no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—44no—
717C2×C4×C11—82no—
718C2×C4×C11C22×D412yes—
719C2×C4×C11C22×D412yes—
720C2×C4×C11H(5,𝔽2)12yes—
721C22⋊D11—44no—
722C22⋊D11—44no—
723C22⋊D11—44no—
724C22⋊D11—44no—
725C22⋊D11—44no—
726C22⋊D11—82no—
727C22⋊D11—82no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—44no—
765C2×Dic11—44no—
766C2×Dic11—44no—
767C2×Dic11—44no—
768C2×Dic11C22×D412yes—
769C2×Dic11C22×D412yes—
770C2×Dic11C22×D412yes—
771D44—82no—
772D44—82no—
773C4×D11—28no—
774C4×D11—44no—
775C4×D11—44no—
776C4×D11—44no—
777C4×D11—82no—
778Dic22—44no—
779C22×#41—111no—
780C24×C4—111no—
781#539—228no—
782C2×#126—111no—
783C2×#126—111no—
784C2×#125—111no—
785C2×#125—111no—
786#525—228no—
787C2×#123—111no—
788C2×#123—111no—
789C2×#123—111no—
790C2×#123—111no—
791C2×#123—111no—
792C2×#123—111no—
793C2×#123—111no—
794C2×#123—111no—
795C2×#123C2×D1111yescharacteristic, complemented
796C2×C22⋊Q8—111no—
797C2×C22⋊Q8—111no—
798C2×C22⋊Q8—111no—
799C2×C22⋊Q8—111no—
800C2×C22⋊Q8—111no—
801C2×C22⋊Q8—111no—
802C2×C22⋊Q8C2×D1111yescharacteristic
803C2×C22⋊Q8C2×D1111yescharacteristic, complemented
804C2×#121—111no—
805C2×#121—111no—
806C2×#121—111no—
807C2×#121C2×D1111yescharacteristic
808C2×#120—111no—
809C2×#120—111no—
810C2×#120—111no—
811C2×C4×D4—111no—
812C2×C4×D4—111no—
813C2×C4×D4—111no—
814C2×C4×D4—111no—
815C2×C4×D4—111no—
816C2×#117—111no—
817C22×C4⋊C4—111no—
818#400—111no—
819#399—111no—
820#398—111no—
821#398—111no—
822#398—111no—
823#398—111no—
824#398—111no—
825#398—111no—
826#398C2×D1111yescharacteristic, complemented
827#397—111no—
828#397—111no—
829#397—111no—
830#397—111no—
831#397—111no—
832#397—111no—
833#397—111no—
834#396—111no—
835#396—111no—
836#396—111no—
837#396—111no—
838#396—111no—
839#396—111no—
840#396—111no—
841#396—111no—
842#396—111no—
843#396C2×D1111yescharacteristic, complemented
844#395—111no—
845#395—111no—
846#395—111no—
847#394—111no—
848#394—111no—
849#394—111no—
850#394—111no—
851#394—111no—
852#394—111no—
853#394—111no—
854#394—111no—
855#394—111no—
856#394—111no—
857#394C2×D1111yescharacteristic
858#394C2×D1111yescharacteristic
859#394C2×D1111yescharacteristic, complemented
860#393C2×D1111yescharacteristic, complemented
861#392—111no—
862#392—111no—
863#392—111no—
864#392—111no—
865#392—111no—
866#391—111no—
867#390—111no—
868#390—111no—
869#390—111no—
870#390—111no—
871#390—111no—
872#390—111no—
873#390—111no—
874#390C2×D1111yescharacteristic
875#389—111no—
876#389—111no—
877#389—111no—
878#389—111no—
879#389C2×D1111yescharacteristic, complemented
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#388C2×D1111yescharacteristic, complemented
892#387—111no—
893#387—111no—
894#387—111no—
895#387—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386C2×D1111yescharacteristic
906#385—111no—
907#385—111no—
908#385—111no—
909#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#385—111no—
915#385—111no—
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#385—111no—
921#385C2×D1111yescharacteristic
922#384—111no—
923#382—111no—
924#381—111no—
925#381—111no—
926#381—111no—
927#380—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#379—111no—
932#379—111no—
933#379—111no—
934C4×C4⋊C4—111no—
935#376—111no—
936C22×C11—22no—
937C22×C11—22no—
938C22×C11—22no—
939C22×C11—22no—
940C22×C11—22no—
941C22×C11—22no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—41no—
954C22×C11—41no—
955C22×C11—41no—
956C22×C11—41no—
957C22×C11C23×D411yescharacteristic
958C22×C11C2×H(5,𝔽2)11yescharacteristic
959C22×C11C2×H(5,𝔽2)11yescharacteristic
960C22×C11C2×2−1+411yescharacteristic
961C22×C11#58511yescharacteristic
962C22×C11#58511yescharacteristic
963C22×C11#58511yescharacteristic
964C2×D11—22no—
965C2×D11—22no—
966C2×D11—22no—
967C2×D11—22no—
968C2×D11—22no—
969C2×D11—22no—
970C2×D11—416no—
971C2×D11—41no—
972C2×D11—41no—
973C2×D11—41no—
974C2×D11—41no—
975C2×D11—41no—
976C2×D11—41no—
977C2×D11—41no—
978C2×D11—41no—
979C2×D11—41no—
980C2×D11—41no—
981C2×D11—41no—
982C2×D11—41no—
983C2×D11—41no—
984C2×D11—41no—
985C2×D11—41no—
986C4×C11—22no—
987C4×C11—22no—
988C4×C11—22no—
989C4×C11—41no—
990C4×C11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996C4×C11—41no—
997C4×C11—41no—
998Dic11—22no—
999Dic11—22no—
1000Dic11—22no—
1001Dic11—41no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009Dic11—41no—
1010Dic11—41no—
1011C25—111no—
1012C2×#41—224no—
1013C2×#41—442no—
1014C2×#41—442no—
1015C22×Q8—111no—
1016C22×Q8C22×D1111yescharacteristic
1017C22×D4—111no—
1018C22×D4—111no—
1019C22×D4—111no—
1020C22×D4—111no—
1021C22×D4—111no—
1022C22×D4—111no—
1023C22×D4—111no—
1024C22×D4—111no—
1025C22×D4—111no—
1026C22×D4C22×D1111yescharacteristic
1027C22×D4C22×D1111yescharacteristic
1028C22×D4C22×D1111yescharacteristic
1029C23×C4—111no—
1030C23×C4—111no—
1031C23×C4—111no—
1032C23×C4—111no—
1033C23×C4—111no—
1034C23×C4—111no—
1035C23×C4—111no—
1036C23×C4—111no—
1037C23×C4—111no—
1038C23×C4—224no—
1039C23×C4—442no—
1040C23×C4—442no—
1041C23×C4C22×D1111yescharacteristic
1042C23×C4C22×D1111yescharacteristic
1043#126—224no—
1044#126—224no—
1045#125—224no—
1046#125—224no—
1047#123—42no—
1048#123—224no—
1049#123—224no—
1050#123—224no—
1051#123—224no—
1052#123—224no—
1053#123—224no—
1054#123—442no—
1055#123—442no—
1056C22⋊Q8—24no—
1057C22⋊Q8—42no—
1058C22⋊Q8—224no—
1059C22⋊Q8—224no—
1060C22⋊Q8—224no—
1061C22⋊Q8—224no—
1062C22⋊Q8—442no—
1063C22⋊Q8—442no—
1064#121—24no—
1065#121—224no—
1066#121—224no—
1067#121—442no—
1068#120—224no—
1069#120—224no—
1070#120—442no—
1071C4×D4—118no—
1072C4×D4—224no—
1073C4×D4—224no—
1074C4×D4—224no—
1075C4×D4—224no—
1076#117—224no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—111no—
1088C2×C4⋊C4—111no—
1089C2×C4⋊C4—111no—
1090C2×C4⋊C4—111no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—111no—
1096C2×C4⋊C4—111no—
1097C2×C4⋊C4—111no—
1098C2×C4⋊C4—111no—
1099C2×C4⋊C4—111no—
1100C2×C4⋊C4—111no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—224no—
1107C2×C4⋊C4C22×D1111yescharacteristic
1108C2×C4⋊C4C22×D1111yescharacteristic
1109C2×C4⋊C4C22×D1111yescharacteristic
1110C2×C4⋊C4C22×D1111yescharacteristic
1111C2×C4⋊C4C22×D1111yescharacteristic
1112C2×C4⋊C4C22×D1111yescharacteristic
1113C2×C4⋊C4C22×D1111yescharacteristic
1114C2×C4⋊C4C22×D1111yescharacteristic
1115C2×C4⋊C4C22×D1111yescharacteristic
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4C22×D1111yescharacteristic
1156C2×C22⋊C4C22×D1111yescharacteristic
1157C2×C22⋊C4C22×D1111yescharacteristic
1158C2×C22⋊C4C22×D1111yescharacteristic
1159C2×C22⋊C4C22×D1111yescharacteristic
1160C2×C22⋊C4C22×D1111yescharacteristic
1161C2×C22⋊C4C22×D1111yescharacteristic
1162C2×C22⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C42—111no—
1169C2×C42—111no—
1170C2×C42—111no—
1171C2×C42—111no—
1172C2×C42—111no—
1173C2×C42—111no—
1174C2×C42C22×D1111yescharacteristic
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95C22×D1111yescharacteristic
1202#95C22×D1111yescharacteristic
1203#95C22×D1111yescharacteristic
1204#95C22×D1111yescharacteristic
1205#95C22×D1111yescharacteristic
1206#95C22×D1111yescharacteristic
1207C2×C11—42no—
1208C2×C11—42no—
1209C2×C11—81no—
1210C2×C11#344911yescharacteristic
1211C2×C11#348411yescharacteristic
1212C2×C11#348911yescharacteristic
1213C2×C11#353311yescharacteristic
1214C2×C11#353511yescharacteristic
1215C2×C11#353911yescharacteristic
1216C2×C11#354111yescharacteristic
1217D11—42no—
1218D11—42no—
1219D11—81no—
1220C24—111no—
1221C24—111no—
1222C24—111no—
1223C24—222no—
1224C24—222no—
1225C24—222no—
1226C24—441no—
1227C24—441no—
1228C24—441no—
1229C24—441no—
1230C24C23×D1111yescharacteristic
1231C24C23×D1111yescharacteristic
1232C24C23×D1111yescharacteristic
1233#41—4416no—
1234C2×Q8—22no—
1235C2×Q8—41no—
1236C2×Q8—41no—
1237C2×Q8—222no—
1238C2×Q8—222no—
1239C2×Q8—441no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—114no—
1250C2×D4—222no—
1251C2×D4—222no—
1252C2×D4—222no—
1253C2×D4—222no—
1254C2×D4—222no—
1255C2×D4—222no—
1256C2×D4—222no—
1257C2×D4—222no—
1258C2×D4—222no—
1259C2×D4—441no—
1260C2×D4—441no—
1261C2×D4—441no—
1262C2×D4—441no—
1263C2×D4—441no—
1264C2×D4—441no—
1265C2×D4—441no—
1266C2×D4—441no—
1267C2×D4—441no—
1268C2×D4—441no—
1269C2×D4—441no—
1270C2×D4—441no—
1271C2×D4—441no—
1272C2×D4—441no—
1273C2×D4—441no—
1274C2×D4—441no—
1275C2×D4—441no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—111no—
1283C22×C4—111no—
1284C22×C4—111no—
1285C22×C4—114no—
1286C22×C4—114no—
1287C22×C4—111no—
1288C22×C4—111no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—111no—
1293C22×C4—111no—
1294C22×C4—111no—
1295C22×C4—111no—
1296C22×C4—111no—
1297C22×C4—222no—
1298C22×C4—222no—
1299C22×C4—222no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—222no—
1305C22×C4—222no—
1306C22×C4—222no—
1307C22×C4—222no—
1308C22×C4—441no—
1309C22×C4—441no—
1310C22×C4—441no—
1311C22×C4—441no—
1312C22×C4—441no—
1313C22×C4—441no—
1314C22×C4—4416no—
1315C22×C4—441no—
1316C22×C4—441no—
1317C22×C4—441no—
1318C22×C4—441no—
1319C22×C4—441no—
1320C22×C4—441no—
1321C22×C4—441no—
1322C22×C4—441no—
1323C22×C4C23×D1111yescharacteristic
1324C22×C4C23×D1111yescharacteristic
1325C22×C4C23×D1111yescharacteristic
1326C22×C4C23×D1111yescharacteristic
1327C22×C4C23×D1111yescharacteristic
1328C22×C4C23×D1111yescharacteristic
1329C22×C4C23×D1111yescharacteristic
1330C22×C4C23×D1111yescharacteristic
1331C22×C4C23×D1111yescharacteristic
1332C22×C4C23×D1111yescharacteristic
1333C22×C4C23×D1111yescharacteristic
1334C22×C4C23×D1111yescharacteristic
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—114no—
1345C4⋊C4—222no—
1346C4⋊C4—222no—
1347C4⋊C4—222no—
1348C4⋊C4—222no—
1349C4⋊C4—222no—
1350C4⋊C4—222no—
1351C4⋊C4—222no—
1352C4⋊C4—222no—
1353C4⋊C4—222no—
1354C4⋊C4—222no—
1355C4⋊C4—222no—
1356C4⋊C4—222no—
1357C4⋊C4—222no—
1358C4⋊C4—222no—
1359C4⋊C4—441no—
1360C4⋊C4—441no—
1361C4⋊C4—441no—
1362C4⋊C4—441no—
1363C4⋊C4—441no—
1364C4⋊C4—441no—
1365C4⋊C4—441no—
1366C4⋊C4—441no—
1367C4⋊C4—441no—
1368C4⋊C4—441no—
1369C4⋊C4—441no—
1370C4⋊C4—441no—
1371C4⋊C4—441no—
1372C4⋊C4—441no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—114no—
1386C22⋊C4—222no—
1387C22⋊C4—222no—
1388C22⋊C4—222no—
1389C22⋊C4—222no—
1390C22⋊C4—222no—
1391C22⋊C4—222no—
1392C22⋊C4—222no—
1393C22⋊C4—222no—
1394C22⋊C4—222no—
1395C22⋊C4—222no—
1396C22⋊C4—222no—
1397C22⋊C4—222no—
1398C22⋊C4—222no—
1399C22⋊C4—222no—
1400C22⋊C4—222no—
1401C22⋊C4—222no—
1402C22⋊C4—222no—
1403C22⋊C4—222no—
1404C22⋊C4—441no—
1405C22⋊C4—441no—
1406C22⋊C4—441no—
1407C22⋊C4—441no—
1408C22⋊C4—441no—
1409C22⋊C4—441no—
1410C22⋊C4—441no—
1411C22⋊C4—441no—
1412C22⋊C4—441no—
1413C22⋊C4—441no—
1414C22⋊C4—441no—
1415C22⋊C4—441no—
1416C22⋊C4—441no—
1417C22⋊C4—441no—
1418C22⋊C4—441no—
1419C22⋊C4—441no—
1420C22⋊C4—441no—
1421C22⋊C4—441no—
1422C22⋊C4—441no—
1423C22⋊C4—441no—
1424C22⋊C4D4×D1114yes—
1425C42—41no—
1426C42—114no—
1427C42—222no—
1428C42—222no—
1429C42—441no—
1430C42—441no—
1431C42—441no—
1432C11#3672311yescharacteristic, complemented, Sylow
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—112no—
1453C23—112no—
1454C23—221no—
1455C23—221no—
1456C23—221no—
1457C23—221no—
1458C23—221no—
1459C23—221no—
1460C23—221no—
1461C23—221no—
1462C23—221no—
1463C23—221no—
1464C23—221no—
1465C23—221no—
1466C23—221no—
1467C23—221no—
1468C23—221no—
1469C23—221no—
1470C23—221no—
1471C23—221no—
1472C23—221no—
1473C23—444no—
1474C23—444no—
1475C23—444no—
1476C23—444no—
1477C23—444no—
1478C23—444no—
1479C23—444no—
1480C23C2×D4×D1112yes—
1481C23#6704312yes—
1482C23C24×D1111yescharacteristic
1483Q8—82no—
1484Q8—444no—
1485D4—44no—
1486D4—44no—
1487D4—44no—
1488D4—444no—
1489D4—444no—
1490D4—444no—
1491D4—444no—
1492D4—444no—
1493D4—882no—
1494D4—882no—
1495D4—882no—
1496D4—882no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—44no—
1531C2×C4—82no—
1532C2×C4—112no—
1533C2×C4—112no—
1534C2×C4—112no—
1535C2×C4—228no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—444no—
1573C2×C4—444no—
1574C2×C4—444no—
1575C2×C4—444no—
1576C2×C4—444no—
1577C2×C4—444no—
1578C2×C4—444no—
1579C2×C4—882no—
1580C2×C4C2×D4×D1112yes—
1581C2×C4C2×D4×D1112yes—
1582C2×C4#6703712yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—222no—
1605C22—222no—
1606C22—222no—
1607C22—222no—
1608C22—222no—
1609C22—222no—
1610C22—4416no—
1611C22—441no—
1612C22—441no—
1613C22—441no—
1614C22—441no—
1615C22—441no—
1616C22—441no—
1617C22—441no—
1618C22—441no—
1619C22—441no—
1620C22—441no—
1621C22—441no—
1622C22—441no—
1623C22—441no—
1624C22—441no—
1625C22—441no—
1626C22C22×D4×D1111yescharacteristic
1627C22C2×#6703711yescharacteristic
1628C22C2×#6704311yescharacteristic
1629C22D11×H(5,𝔽2)11yescharacteristic
1630C22#1062345511yescharacteristic
1631C22#1062345711yescharacteristic
1632C22#1062345711yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—222no—
1646C4—222no—
1647C4—222no—
1648C4—441no—
1649C4—441no—
1650C4—441no—
1651C4—441no—
1652C4—441no—
1653C4—441no—
1654C4—441no—
1655C4—441no—
1656C4—441no—
1657C4—441no—
1658C2—42no—
1659C2—42no—
1660C2—81no—
1661C2—442no—
1662C2—442no—
1663C2—881no—
1664C2#1308194811yescharacteristic
1665C2#1308224411yescharacteristic
1666C2#1308228711yescharacteristic
1667C2#1308277811yescharacteristic
1668C2#1308282211yescharacteristic
1669C2#1308286911yescharacteristic
1670C2#1308289511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2681C2
hypercenter#2681D11
hypocenterC11#36723
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2681

Complements

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

NH ≅ G/Ntype
1. C2×#10623176C2semidirect
2. C2×#10623137C2semidirect
3. #13076911C2semidirect
4. #13076900C2semidirect
5. #13075325C2semidirect
6. #13075302C2semidirect
7. #13075278C2semidirect
8. #13075255C2semidirect
9. #13075236C2semidirect
10. #13075185C2semidirect
11. #13075182C2semidirect
12. #13075006C2semidirect
13. #13074986C2semidirect
14. #13074981C2semidirect
15. #13074975C2semidirect
16. #13074957C2semidirect
17. #13074955C2semidirect
18. #13074942C2semidirect
19. #13074938C2semidirect
20. #13074539C2semidirect
21. #13074462C2semidirect
22. #13074309C2semidirect
23. #13074238C2semidirect
24. #13074212C2semidirect
25. #13074199C2semidirect
26. #13073962C2semidirect
27. #13073819C2semidirect
28. #13071956C2semidirect
29. #13071948C2semidirect
30. #13071257C2semidirect
31. C11×#2681C2semidirect
34. C2×C11×#123C22semidirect
36. C2×C11×C22⋊Q8C22semidirect
40. C2×#66999C22semidirect
49. C22×Dic11⋊C4C22semidirect
53. C2×#66951C22semidirect
55. C2×#66949C22semidirect
60. C2×#66943C22semidirect
61. C2×#66943C22semidirect
63. C2×#66939C22semidirect
70. C2×(C22⋊D11)⋊C4C22semidirect
71. C11×#398C22semidirect
72. C11×#396C22semidirect
75. C11×#394C22semidirect
76. C11×#393C22semidirect
78. C11×#389C22semidirect
79. C11×#388C22semidirect
82. #10622842C22semidirect
85. #10622836C22semidirect
88. #10622833C22semidirect
91. #10622823C22semidirect
93. #10622607C22semidirect
94. #10622607C22semidirect
98. #10622603C22semidirect
99. #10622603C22semidirect
108. #10622599C22semidirect
109. #10622598C22semidirect
110. #10622598C22semidirect
111. #10622597C22semidirect
112. #10622596C22semidirect
113. #10622594C22semidirect
114. #10622592C22semidirect
115. #10622592C22semidirect
116. #10622589C22semidirect
117. #10622585C22semidirect
121. #10622574C22semidirect
122. #10622574C22semidirect
130. #10622571C22semidirect
135. #10622570C22semidirect
140. #10622566C22semidirect
141. #10622565C22semidirect
144. #10622564C22semidirect
145. #10622564C22semidirect
146. #10622563C22semidirect
151. #10622561C22semidirect
152. #10622561C22semidirect
156. #10622559C22semidirect
157. #10622559C22semidirect
158. #10622559C22semidirect
159. #10622556C22semidirect
160. #10622555C22semidirect
163. #10622549C22semidirect
164. C4×Dic11⋊C4C22semidirect
168. #10622287C22semidirect
174. #10622281C22semidirect
179. #10622274C22semidirect
180. #10622274C22semidirect
181. #10622270C22semidirect
182. #10622270C22semidirect
183. #10622267C22semidirect
184. #10622267C22semidirect
185. #10622267C22semidirect
186. #10622261C22semidirect
187. #10622260C22semidirect
188. #10622259C22semidirect
352. (C22⋊D11)⋊C4D4semidirect
613. #2681D11semidirect
795. C2×#123C2×D11semidirect
803. C2×C22⋊Q8C2×D11semidirect
826. #398C2×D11semidirect
843. #396C2×D11semidirect
859. #394C2×D11semidirect
860. #393C2×D11semidirect
879. #389C2×D11semidirect
891. #388C2×D11semidirect
1432. C11#36723semidirect

Maximal subgroups

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

subgroupindex
C2×#106231762
C2×#106231372
#130769112
#130769002
#130753252
#130753022
#130752782
#130752552
#130752362
#130751852
#130751822
#130750062
#130749862
#130749812
#130749752
#130749572
#130749552
#130749422
#130749382
#130745392
#130744622
#130743092
#130742382
#130742122
#130741992
#130739622
#130738192
#130719562
#130719482
#130712572
C11×#26812
#3672311