Finite Group Databasebeta

← #14923960

Subgroups — #14923960

Order 2816.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623211C211yesmaximal, characteristic, complemented
2C2×#10623137C211yesmaximal, characteristic, complemented
3#13073764C211yesmaximal, characteristic, complemented
4#13073741C211yesmaximal, characteristic, complemented
5#13073736C211yesmaximal, characteristic, complemented
6#13073713C211yesmaximal, characteristic, complemented
7#13073700C211yesmaximal, characteristic, complemented
8#13073678C211yesmaximal, characteristic, complemented
9#13073655C211yesmaximal, characteristic, complemented
10#13073621C211yesmaximal, characteristic, complemented
11#13073571C211yesmaximal, characteristic, complemented
12#13073541C211yesmaximal, characteristic, complemented
13#13073501C211yesmaximal, characteristic, complemented
14#13072941C211yesmaximal, characteristic, complemented
15#13072738C211yesmaximal, characteristic, complemented
16#13072166C211yesmaximal, characteristic, complemented
17#13072149C211yesmaximal, characteristic, complemented
18#13071887C211yesmaximal, characteristic, complemented
19#13071872C211yesmaximal, characteristic, complemented
20#13071851C211yesmaximal, characteristic, complemented
21#13071828C211yesmaximal, characteristic, complemented
22#124×Dic11C211yesmaximal, characteristic, complemented
23#13071143C211yesmaximal, characteristic, complemented
24#13071132C211yesmaximal, characteristic, complemented
25#121×Dic11C211yesmaximal, characteristic, complemented
26#13071121C211yesmaximal, characteristic, complemented
27#13071101C211yesmaximal, characteristic, complemented
28#13071076C211yesmaximal, characteristic, complemented
29C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2555C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#124C2211yescharacteristic
35C2×C11×#124C2211yescharacteristic, complemented
36C2×C11×#121C2211yescharacteristic
37C2×C11×#121C2211yescharacteristic
38C2×#66999C2211yescharacteristic
39C2×Q8×Dic11C2211yescharacteristic, complemented
40C2×#66991C2211yescharacteristic
41C2×#66991C2211yescharacteristic
42C2×#66991C2211yescharacteristic
43C2×#66990C2211yescharacteristic
44C2×#66990C2211yescharacteristic
45C2×#66990C2211yescharacteristic
46C2×D4×Dic11C2211yescharacteristic
47C2×D4×Dic11C2211yescharacteristic
48C2×D4×Dic11C2211yescharacteristic
49C2×D4×Dic11C2211yescharacteristic, complemented
50C2×D4×Dic11C2211yescharacteristic, complemented
51C2×C4×C22⋊D11C2211yescharacteristic
52C2×#66977C2211yescharacteristic
53C22×C4×Dic11C2211yescharacteristic, complemented
54#10623211—28no—
55#10623137—28no—
56C2×#66950C2211yescharacteristic
57C2×#66945C2211yescharacteristic
58C2×#66936C2211yescharacteristic
59C2×#66936C2211yescharacteristic
60C2×#66936C2211yescharacteristic
61C2×#66936C2211yescharacteristic
62C2×#66936C2211yescharacteristic
63C2×(C22⋊D11)⋊C4C2211yescharacteristic
64C2×(C22⋊D11)⋊C4C2211yescharacteristic
65C2×(C22⋊D11)⋊C4C2211yescharacteristic
66C2×(C22⋊D11)⋊C4C2211yescharacteristic
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×C22⋊C4×D11C2211yescharacteristic
69C2×C22⋊C4×D11C2211yescharacteristic
70C2×#66932C2211yescharacteristic, complemented
71C2×#66932C2211yescharacteristic, complemented
72C2×#66930C2211yescharacteristic, complemented
73C2×#66930C2211yescharacteristic, complemented
74C2×C42×D11C2211yescharacteristic
75C2×C42×D11C2211yescharacteristic
76C2×#66923C2211yescharacteristic, complemented
77C11×#395C2211yescharacteristic, complemented
78C11×#394C2211yescharacteristic
79C11×#392C2211yescharacteristic
80C11×#392C2211yescharacteristic, complemented
81C11×#390C2211yescharacteristic, complemented
82C11×#388C2211yescharacteristic, complemented
83C11×#388C2211yescharacteristic, complemented
84C11×#386C2211yescharacteristic
85C11×#386C2211yescharacteristic, complemented
86C4×C11×C22⋊C4C2211yescharacteristic
87C4×C11×C22⋊C4C2211yescharacteristic, complemented
88#10622844C2211yescharacteristic
89#10622843C2211yescharacteristic, complemented
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622835C2211yescharacteristic
93#10622835C2211yescharacteristic
94#10622835C2211yescharacteristic
95#10622835C2211yescharacteristic, complemented
96#10622835C2211yescharacteristic, complemented
97#10622834C2211yescharacteristic
98#10622834C2211yescharacteristic
99#10622833C2211yescharacteristic
100#10622833C2211yescharacteristic, complemented
101#10622833C2211yescharacteristic, complemented
102#10622826C2211yescharacteristic
103#10622825C2211yescharacteristic, complemented
104#10622823C2211yescharacteristic
105C4×C22⋊Dic11C2211yescharacteristic
106#10622607C2211yescharacteristic
107#10622607C2211yescharacteristic
108#10622602C2211yescharacteristic
109#10622600C2211yescharacteristic
110#10622599C2211yescharacteristic, complemented
111#10622598C2211yescharacteristic, complemented
112#10622597C2211yescharacteristic, complemented
113C4⋊C4×Dic11C2211yescharacteristic, complemented
114C4⋊C4×Dic11C2211yescharacteristic, complemented
115#10622585C2211yescharacteristic, complemented
116#10622574C2211yescharacteristic
117#10622574C2211yescharacteristic
118#10622571C2211yescharacteristic
119#10622570C2211yescharacteristic
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622568C2211yescharacteristic
129#10622566C2211yescharacteristic, complemented
130#10622566C2211yescharacteristic, complemented
131#10622565C2211yescharacteristic
132#10622565C2211yescharacteristic, complemented
133#10622564C2211yescharacteristic
134#10622564C2211yescharacteristic
135#10622564C2211yescharacteristic
136#10622564C2211yescharacteristic, complemented
137#10622564C2211yescharacteristic, complemented
138#10622564C2211yescharacteristic, complemented
139#10622564C2211yescharacteristic, complemented
140#10622562C2211yescharacteristic
141#10622561C2211yescharacteristic
142#10622561C2211yescharacteristic, complemented
143#10622560C2211yescharacteristic, complemented
144#10622558C2211yescharacteristic, complemented
145#10622558C2211yescharacteristic, complemented
146#10622557C2211yescharacteristic, complemented
147C22⋊C4×Dic11C2211yescharacteristic
148C22⋊C4×Dic11C2211yescharacteristic
149C22⋊C4×Dic11C2211yescharacteristic
150C22⋊C4×Dic11C2211yescharacteristic, complemented
151C22⋊C4×Dic11C2211yescharacteristic, complemented
152C22⋊C4×Dic11C2211yescharacteristic, complemented
153C22⋊C4×Dic11C2211yescharacteristic, complemented
154C22⋊C4×Dic11C2211yescharacteristic, complemented
155C22⋊C4×Dic11C2211yescharacteristic, complemented
156#10622553C2211yescharacteristic
157C4×(C2×D11)⋊C4C2211yescharacteristic
158C4×(C2×D11)⋊C4C2211yescharacteristic
159C4×(C2×D11)⋊C4C2211yescharacteristic
160#10622549C2211yescharacteristic, complemented
161#10622546C2211yescharacteristic, complemented
162C4×Dic11⋊C4C2211yescharacteristic, complemented
163C42×Dic11C2211yescharacteristic, complemented
164#10622541C2211yescharacteristic, complemented
165#10622290C2211yescharacteristic
166#10622282C2211yescharacteristic
167#10622281C2211yescharacteristic
168#10622281C2211yescharacteristic
169#10622279C2211yescharacteristic
170#10622279C2211yescharacteristic
171#10622279C2211yescharacteristic
172#10622279C2211yescharacteristic
173#10622279C2211yescharacteristic
174#10622277C2211yescharacteristic
175D11×#95C2211yescharacteristic
176D11×#95C2211yescharacteristic
177#10622274C2211yescharacteristic, complemented
178#10622274C2211yescharacteristic, complemented
179#10622274C2211yescharacteristic, complemented
180#10622273C2211yescharacteristic, complemented
181#10622269C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C2×#4341—24no—
211C2×#4341—24no—
212C2×#4341—42no—
213C22×C4×D11—24no—
214C22×C4×D11—24no—
215C22×C4×D11—42no—
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×Dic22C2311yescharacteristic
225C11×#124—24no—
226C11×#124—24no—
227C11×#121—24no—
228C11×#121—24no—
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C42×C11C2311yescharacteristic
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
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269#66999—24no—
270Q8×Dic11—24no—
271#66991—24no—
272#66991—24no—
273#66991—24no—
274#66990—24no—
275#66990—24no—
276#66990—24no—
277D4×Dic11—24no—
278D4×Dic11—24no—
279D4×Dic11—24no—
280D4×Dic11—42no—
281D4×Dic11—42no—
282C4×C22⋊D11—24no—
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
308#66977—24no—
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11—42no—
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338#66950—24no—
339#66945—24no—
340#66936—24no—
341#66936—24no—
342#66936—24no—
343#66936—24no—
344#66936—24no—
345(C22⋊D11)⋊C4—24no—
346(C22⋊D11)⋊C4—24no—
347(C22⋊D11)⋊C4—24no—
348(C22⋊D11)⋊C4—24no—
349(C22⋊D11)⋊C4D418yescomplemented
350C22⋊C4×D11—24no—
351C22⋊C4×D11—24no—
352#66932—24no—
353#66932—24no—
354#66930—24no—
355#66930—24no—
356C42×D11—24no—
357C42×D11—42no—
358#66923—24no—
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
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#34829—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—22no—
401C23×D11—41no—
402C23×D11—41no—
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C2×Q8×C11—22no—
406C2×Q8×C11—22no—
407C2×Q8×C11—41no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—22no—
418C2×D4×C11—22no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C2×D4×C11—41no—
423C2×D4×C11—41no—
424C2×D4×C11—41no—
425C2×D4×C11—41no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—22no—
429C22×C4×C11—22no—
430C22×C4×C11—41no—
431C22×C4×C11—41no—
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11—41no—
460C2×C22⋊D11C2×D414yes—
461C22×Dic11—22no—
462C22×Dic11—22no—
463C22×Dic11—22no—
464C22×Dic11—22no—
465C22×Dic11—22no—
466C22×Dic11—22no—
467C22×Dic11—22no—
468C22×Dic11—22no—
469C22×Dic11—22no—
470C22×Dic11—22no—
471C22×Dic11—22no—
472C22×Dic11—22no—
473C22×Dic11—41no—
474C22×Dic11—41no—
475C22×Dic11C2×D414yes—
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490#4341—416no—
491C2×C4×D11—22no—
492C2×C4×D11—22no—
493C2×C4×D11—22no—
494C2×C4×D11—22no—
495C2×C4×D11—22no—
496C2×C4×D11—22no—
497C2×C4×D11—22no—
498C2×C4×D11—22no—
499C2×C4×D11—22no—
500C2×C4×D11—22no—
501C2×C4×D11—22no—
502C2×C4×D11—22no—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—41no—
507C2×C4×D11—41no—
508C2×C4×D11—41no—
509C2×C4×D11—41no—
510C2×C4×D11—41no—
511C2×C4×D11—41no—
512C2×C4×D11—416no—
513C2×C4×D11C2×D414yes—
514C2×C4×D11#4114yes—
515C2×C4×D11#4114yescomplemented
516C2×Dic22—22no—
517C2×Dic22—22no—
518C2×Dic22—41no—
519C11×C4⋊C4—22no—
520C11×C4⋊C4—22no—
521C11×C4⋊C4—41no—
522C11×C22⋊C4—22no—
523C11×C22⋊C4—22no—
524C11×C22⋊C4—22no—
525C11×C22⋊C4—22no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4—22no—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4—22no—
532C11×C22⋊C4—22no—
533C11×C22⋊C4—22no—
534C11×C22⋊C4C2×D414yes—
535C11×C22⋊C4#4114yescomplemented
536C42×C11—22no—
537C42×C11—22no—
538C42×C11—41no—
539C22⋊Dic11—22no—
540C22⋊Dic11—22no—
541C22⋊Dic11—22no—
542C22⋊Dic11—22no—
543C22⋊Dic11—22no—
544C22⋊Dic11—22no—
545C22⋊Dic11—22no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—22no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
554C22⋊Dic11—41no—
555C22⋊Dic11—41no—
556C22⋊Dic11—41no—
557C22⋊Dic11—41no—
558C22⋊Dic11—41no—
559(C2×D11)⋊C4—22no—
560(C2×D11)⋊C4—22no—
561(C2×D11)⋊C4—22no—
562(C2×D11)⋊C4—22no—
563(C2×D11)⋊C4—22no—
564(C2×D11)⋊C4—22no—
565(C2×D11)⋊C4—22no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—41no—
571(C2×D11)⋊C4C2×D414yes—
572(C2×D11)⋊C4#4114yescomplemented
573C4⋊Dic11—22no—
574C4⋊Dic11—22no—
575C4⋊Dic11—22no—
576C4⋊Dic11—22no—
577C4⋊Dic11—22no—
578C4⋊Dic11—22no—
579C4⋊Dic11—22no—
580C4⋊Dic11—22no—
581C4⋊Dic11—22no—
582C4⋊Dic11—41no—
583C4⋊Dic11—41no—
584Dic11⋊C4—22no—
585Dic11⋊C4—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—22no—
588Dic11⋊C4—22no—
589Dic11⋊C4—22no—
590Dic11⋊C4—22no—
591Dic11⋊C4—22no—
592Dic11⋊C4—22no—
593Dic11⋊C4—22no—
594Dic11⋊C4—41no—
595Dic11⋊C4C2×D414yes—
596C4×Dic11—22no—
597C4×Dic11—22no—
598C4×Dic11—22no—
599C4×Dic11—22no—
600C4×Dic11—22no—
601C4×Dic11—22no—
602C4×Dic11—22no—
603C4×Dic11—22no—
604C4×Dic11—22no—
605C4×Dic11—22no—
606C4×Dic11—22no—
607C4×Dic11—41no—
608C4×Dic11—41no—
609C4×Dic11—41no—
610C4×Dic11—41no—
611C4×Dic11C2×D414yes—
612C2×#529—111no—
613C2×#525—111no—
614#2560—111no—
615#2559—111no—
616#2558—111no—
617#2557—111no—
618#2556—111no—
619#2555D1111yescharacteristic, complemented
620#2554—111no—
621#2553—111no—
622#2549—111no—
623#2543—111no—
624#2539—111no—
625#2534—111no—
626#2488—111no—
627#2472—111no—
628#2425—111no—
629#2424—111no—
630#2396—111no—
631#2395—111no—
632#2392—111no—
633#2388—111no—
634C4×#124—111no—
635C4×#123—111no—
636C4×#121—111no—
637C4×#121—111no—
638C4×#120—111no—
639#2297—111no—
640#2293—111no—
641C42×D4—111no—
642C2×C4×C22⋊C4—111no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11C22×D412yes—
670C23×C11C2×#4112yes—
671C23×C11C2511yescharacteristic
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—28no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—44no—
684C22×D11—44no—
685C22×D11—44no—
686C22×D11—44no—
687C22×D11—44no—
688C22×D11—44no—
689C22×D11C22×D412yes—
690C22×D11C2×#4112yes—
691C22×D11C2×#4112yes—
692C22×D11C2×#4112yes—
693Q8×C11—44no—
694D4×C11—44no—
695D4×C11—44no—
696D4×C11—44no—
697D4×C11—44no—
698D4×C11—44no—
699D4×C11—44no—
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—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—44no—
727C2×C4×C11—44no—
728C2×C4×C11C22×D412yes—
729C2×C4×C11C22×D412yes—
730C2×C4×C11C2×#4112yes—
731C2×C4×C11C2×#4112yes—
732C2×C4×C11C2×#4112yes—
733C2×C4×C11C2×#4112yes—
734C2×C4×C11C2×#4112yes—
735C22⋊D11—28no—
736C22⋊D11—44no—
737C22⋊D11—44no—
738C22⋊D11—44no—
739C22⋊D11—44no—
740C22⋊D11—44no—
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—28no—
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—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—44no—
778C2×Dic11—44no—
779C2×Dic11—44no—
780C2×Dic11—44no—
781C2×Dic11C22×D412yes—
782C2×Dic11C22×D412yes—
783C2×Dic11C22×D412yes—
784C2×Dic11C2×#4112yes—
785C2×Dic11C2×#4112yes—
786C2×Dic11C2×#4112yes—
787C2×Dic11H(5,𝔽2)12yes—
788C4×D11—28no—
789C4×D11—28no—
790C4×D11—44no—
791C4×D11—44no—
792C4×D11—44no—
793C4×D11—44no—
794C4×D11—44no—
795C4×D11—44no—
796Dic22—44no—
797C22×#41—111no—
798C24×C4—111no—
799#529—228no—
800C2×#126—111no—
801C2×#126—111no—
802C2×#125—111no—
803C2×#124C2×D1111yescharacteristic
804C2×#124C2×D1111yescharacteristic, complemented
805#525—228no—
806C2×#123—111no—
807C2×#123—111no—
808C2×#123—111no—
809C2×#123—111no—
810C2×#123—111no—
811C2×C22⋊Q8—111no—
812C2×C22⋊Q8—111no—
813C2×C22⋊Q8—111no—
814C2×#121—111no—
815C2×#121—111no—
816C2×#121—111no—
817C2×#121C2×D1111yescharacteristic
818C2×#121C2×D1111yescharacteristic
819C2×#120—111no—
820C2×#120—111no—
821C2×#120—111no—
822C2×C4×Q8—111no—
823C2×C4×D4—111no—
824C2×C4×D4—111no—
825C2×C4×D4—111no—
826C2×C4×D4—111no—
827C2×C4×D4—111no—
828C2×C4×D4—111no—
829C2×C4×D4—111no—
830C2×C4×D4—111no—
831C2×C4×D4—111no—
832C2×C4×D4—111no—
833C2×C4×D4—111no—
834C2×#117—111no—
835C2×#117—111no—
836C2×#117—111no—
837C22×C22⋊C4—111no—
838C22×C22⋊C4—111no—
839C22×C42—111no—
840C22×C42—111no—
841C22×C42—111no—
842#400—111no—
843#400—111no—
844#399—111no—
845#399—111no—
846#398—111no—
847#398—111no—
848#398—111no—
849#398—111no—
850#397—111no—
851#397—111no—
852#397—111no—
853#397—111no—
854#396—111no—
855#396—111no—
856#396—111no—
857#396—111no—
858#395—111no—
859#395C2×D1111yescharacteristic, complemented
860#394—111no—
861#394—111no—
862#394—111no—
863#394—111no—
864#394—111no—
865#394—111no—
866#394—111no—
867#394C2×D1111yescharacteristic
868#393—111no—
869#393—111no—
870#392—111no—
871#392—111no—
872#392C2×D1111yescharacteristic
873#392C2×D1111yescharacteristic, complemented
874#391—111no—
875#391—111no—
876#391—111no—
877#390—111no—
878#390—111no—
879#390—111no—
880#390—111no—
881#390—111no—
882#390—111no—
883#390C2×D1111yescharacteristic, complemented
884#389—111no—
885#389—111no—
886#389—111no—
887#389—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#388—111no—
892#388—111no—
893#388—111no—
894#388—111no—
895#388—111no—
896#388—111no—
897#388—111no—
898#388—111no—
899#388—111no—
900#388C2×D1111yescharacteristic, complemented
901#388C2×D1111yescharacteristic, complemented
902#387—111no—
903#387—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386C2×D1111yescharacteristic
915#386C2×D1111yescharacteristic, complemented
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#382—111no—
921#381—111no—
922#380—111no—
923#380—111no—
924#379—111no—
925C4×C4⋊C4—111no—
926C4×C4⋊C4—111no—
927C4×C4⋊C4—111no—
928C4×C4⋊C4—111no—
929C4×C4⋊C4—111no—
930C4×C4⋊C4—111no—
931C4×C22⋊C4—111no—
932C4×C22⋊C4—111no—
933C4×C22⋊C4—111no—
934C4×C22⋊C4—111no—
935C4×C22⋊C4—111no—
936C4×C22⋊C4—111no—
937C4×C22⋊C4—111no—
938C4×C22⋊C4—111no—
939C4×C22⋊C4—111no—
940C4×C22⋊C4—111no—
941C4×C22⋊C4—111no—
942C4×C22⋊C4—111no—
943C4×C22⋊C4—111no—
944C4×C22⋊C4—111no—
945C4×C22⋊C4—111no—
946C4×C22⋊C4—111no—
947C4×C22⋊C4—111no—
948C4×C22⋊C4—111no—
949C4×C22⋊C4C2×D1111yescharacteristic
950C4×C22⋊C4C2×D1111yescharacteristic, complemented
951C2×#95—111no—
952C2×#95—111no—
953C43—111no—
954C22×C11—22no—
955C22×C11—22no—
956C22×C11—22no—
957C22×C11—22no—
958C22×C11—22no—
959C22×C11—22no—
960C22×C11—41no—
961C22×C11—41no—
962C22×C11—41no—
963C22×C11—41no—
964C22×C11—41no—
965C22×C11—41no—
966C22×C11—41no—
967C22×C11—41no—
968C22×C11—41no—
969C22×C11—41no—
970C22×C11—41no—
971C22×C11—41no—
972C22×C11—41no—
973C22×C11—41no—
974C22×C11—41no—
975C22×C11—41no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11C23×D411yescharacteristic
983C22×C11C22×#4111yescharacteristic
984C22×C11C22×#4111yescharacteristic
985C22×C11C22×#4111yescharacteristic
986C22×C11C22×#4111yescharacteristic
987C22×C11C2×H(5,𝔽2)11yescharacteristic
988C22×C11#58511yescharacteristic
989C2×D11—22no—
990C2×D11—22no—
991C2×D11—22no—
992C2×D11—22no—
993C2×D11—22no—
994C2×D11—22no—
995C2×D11—22no—
996C2×D11—22no—
997C2×D11—22no—
998C2×D11—416no—
999C2×D11—41no—
1000C2×D11—41no—
1001C2×D11—41no—
1002C2×D11—41no—
1003C2×D11#53214yes—
1004C4×C11—22no—
1005C4×C11—22no—
1006C4×C11—22no—
1007C4×C11—22no—
1008C4×C11—22no—
1009C4×C11—22no—
1010C4×C11—22no—
1011C4×C11—41no—
1012C4×C11—41no—
1013C4×C11—41no—
1014C4×C11—41no—
1015Dic11—22no—
1016Dic11—22no—
1017Dic11—22no—
1018Dic11—22no—
1019Dic11—41no—
1020Dic11—41no—
1021Dic11—41no—
1022Dic11—41no—
1023Dic11—41no—
1024Dic11—41no—
1025Dic11—41no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11#54614yes—
1029C25—111no—
1030C2×#41—224no—
1031C2×#41—224no—
1032C2×#41—442no—
1033C22×Q8—111no—
1034C22×Q8C22×D1111yescharacteristic
1035C22×D4—111no—
1036C22×D4—111no—
1037C22×D4—111no—
1038C22×D4—111no—
1039C22×D4—111no—
1040C22×D4—111no—
1041C22×D4C22×D1111yescharacteristic
1042C22×D4C22×D1111yescharacteristic
1043C22×D4C22×D1111yescharacteristic
1044C22×D4C22×D1111yescharacteristic
1045C22×D4C22×D1111yescharacteristic
1046C22×D4C22×D1111yescharacteristic
1047C23×C4—111no—
1048C23×C4—111no—
1049C23×C4—111no—
1050C23×C4—111no—
1051C23×C4—111no—
1052C23×C4—111no—
1053C23×C4—111no—
1054C23×C4—111no—
1055C23×C4—111no—
1056C23×C4—111no—
1057C23×C4—111no—
1058C23×C4—111no—
1059C23×C4—111no—
1060C23×C4—224no—
1061C23×C4—224no—
1062C23×C4—442no—
1063C23×C4C22×D1111yescharacteristic
1064C23×C4C22×D1111yescharacteristic
1065#126—224no—
1066#126—224no—
1067#125—224no—
1068#124—24no—
1069#124—24no—
1070#123—224no—
1071#123—224no—
1072#123—224no—
1073#123—224no—
1074#123—224no—
1075C22⋊Q8—224no—
1076C22⋊Q8—224no—
1077C22⋊Q8—224no—
1078#121—24no—
1079#121—24no—
1080#121—224no—
1081#121—224no—
1082#121—224no—
1083#120—224no—
1084#120—224no—
1085#120—224no—
1086C4×Q8—224no—
1087C4×D4—118no—
1088C4×D4—224no—
1089C4×D4—224no—
1090C4×D4—224no—
1091C4×D4—224no—
1092C4×D4—224no—
1093C4×D4—224no—
1094C4×D4—224no—
1095C4×D4—224no—
1096C4×D4—442no—
1097C4×D4—442no—
1098#117—224no—
1099#117—224no—
1100#117—224no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4—111no—
1111C2×C4⋊C4—111no—
1112C2×C4⋊C4—111no—
1113C2×C4⋊C4—111no—
1114C2×C4⋊C4—111no—
1115C2×C4⋊C4—111no—
1116C2×C4⋊C4—111no—
1117C2×C4⋊C4—111no—
1118C2×C4⋊C4—111no—
1119C2×C4⋊C4—111no—
1120C2×C4⋊C4—111no—
1121C2×C4⋊C4—111no—
1122C2×C4⋊C4—111no—
1123C2×C4⋊C4—111no—
1124C2×C4⋊C4C22×D1111yescharacteristic
1125C2×C4⋊C4C22×D1111yescharacteristic
1126C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—224no—
1162C2×C22⋊C4—224no—
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4C22×D1111yescharacteristic
1169C2×C22⋊C4C22×D1111yescharacteristic
1170C2×C22⋊C4C22×D1111yescharacteristic
1171C2×C22⋊C4C22×D1111yescharacteristic
1172C2×C22⋊C4C22×D1111yescharacteristic
1173C2×C22⋊C4C22×D1111yescharacteristic
1174C2×C22⋊C4C22×D1111yescharacteristic
1175C2×C22⋊C4C22×D1111yescharacteristic
1176C2×C22⋊C4C22×D1111yescharacteristic
1177C2×C42—111no—
1178C2×C42—111no—
1179C2×C42—111no—
1180C2×C42—111no—
1181C2×C42—111no—
1182C2×C42—111no—
1183C2×C42—111no—
1184C2×C42—111no—
1185C2×C42—111no—
1186C2×C42—111no—
1187C2×C42—111no—
1188C2×C42—111no—
1189C2×C42—111no—
1190C2×C42—111no—
1191C2×C42—111no—
1192C2×C42—111no—
1193C2×C42—224no—
1194C2×C42—442no—
1195C2×C42—442no—
1196C2×C42C22×D1111yescharacteristic
1197C2×C42C22×D1111yescharacteristic
1198C2×C42C22×D1111yescharacteristic
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95C22×D1111yescharacteristic
1226#95C22×D1111yescharacteristic
1227#95C22×D1111yescharacteristic
1228#95C22×D1111yescharacteristic
1229#95C22×D1111yescharacteristic
1230#95C22×D1111yescharacteristic
1231C2×C11—42no—
1232C2×C11—42no—
1233C2×C11—81no—
1234C2×C11—81no—
1235C2×C11C2×#53211yescharacteristic
1236C2×C11#344411yescharacteristic
1237C2×C11#345911yescharacteristic
1238C2×C11C2×#54611yescharacteristic
1239C2×C11D4×#4111yescharacteristic
1240C2×C11#347511yescharacteristic
1241C2×C11#348111yescharacteristic
1242D11—24no—
1243D11—42no—
1244C24—111no—
1245C24—111no—
1246C24—222no—
1247C24—222no—
1248C24—222no—
1249C24—222no—
1250C24—222no—
1251C24—441no—
1252C24—441no—
1253C24C23×D1111yescharacteristic
1254C24C23×D1111yescharacteristic
1255C24C23×D1111yescharacteristic
1256C24C23×D1111yescharacteristic
1257#41—4416no—
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—41no—
1261C2×Q8—222no—
1262C2×Q8—222no—
1263C2×Q8—441no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—114no—
1283C2×D4—222no—
1284C2×D4—222no—
1285C2×D4—222no—
1286C2×D4—222no—
1287C2×D4—222no—
1288C2×D4—222no—
1289C2×D4—222no—
1290C2×D4—222no—
1291C2×D4—222no—
1292C2×D4—222no—
1293C2×D4—222no—
1294C2×D4—222no—
1295C2×D4—222no—
1296C2×D4—222no—
1297C2×D4—441no—
1298C2×D4—441no—
1299C2×D4—441no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—111no—
1307C22×C4—114no—
1308C22×C4—111no—
1309C22×C4—111no—
1310C22×C4—111no—
1311C22×C4—111no—
1312C22×C4—114no—
1313C22×C4—114no—
1314C22×C4—114no—
1315C22×C4—111no—
1316C22×C4—111no—
1317C22×C4—111no—
1318C22×C4—111no—
1319C22×C4—111no—
1320C22×C4—111no—
1321C22×C4—111no—
1322C22×C4—111no—
1323C22×C4—111no—
1324C22×C4—222no—
1325C22×C4—222no—
1326C22×C4—222no—
1327C22×C4—222no—
1328C22×C4—222no—
1329C22×C4—222no—
1330C22×C4—222no—
1331C22×C4—222no—
1332C22×C4—222no—
1333C22×C4—222no—
1334C22×C4—222no—
1335C22×C4—222no—
1336C22×C4—222no—
1337C22×C4—222no—
1338C22×C4—222no—
1339C22×C4—222no—
1340C22×C4—222no—
1341C22×C4—222no—
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—441no—
1352C22×C4—441no—
1353C22×C4—441no—
1354C22×C4—441no—
1355C22×C4—441no—
1356C22×C4—441no—
1357C22×C4—4416no—
1358C22×C4—441no—
1359C22×C4—441no—
1360C22×C4C23×D1111yescharacteristic
1361C22×C4C23×D1111yescharacteristic
1362C22×C4C23×D1111yescharacteristic
1363C22×C4C23×D1111yescharacteristic
1364C22×C4C23×D1111yescharacteristic
1365C22×C4C23×D1111yescharacteristic
1366C22×C4C23×D1111yescharacteristic
1367C22×C4C23×D1111yescharacteristic
1368C22×C4C23×D1111yescharacteristic
1369C22×C4C23×D1111yescharacteristic
1370C22×C4C23×D1111yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—41no—
1374C4⋊C4—114no—
1375C4⋊C4—222no—
1376C4⋊C4—222no—
1377C4⋊C4—222no—
1378C4⋊C4—222no—
1379C4⋊C4—222no—
1380C4⋊C4—222no—
1381C4⋊C4—222no—
1382C4⋊C4—222no—
1383C4⋊C4—222no—
1384C4⋊C4—222no—
1385C4⋊C4—222no—
1386C4⋊C4—222no—
1387C4⋊C4—222no—
1388C4⋊C4—222no—
1389C4⋊C4—222no—
1390C4⋊C4—222no—
1391C4⋊C4—222no—
1392C4⋊C4—222no—
1393C4⋊C4—222no—
1394C4⋊C4—441no—
1395C4⋊C4—441no—
1396C4⋊C4—441no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—114no—
1410C22⋊C4—114no—
1411C22⋊C4—222no—
1412C22⋊C4—222no—
1413C22⋊C4—222no—
1414C22⋊C4—222no—
1415C22⋊C4—222no—
1416C22⋊C4—222no—
1417C22⋊C4—222no—
1418C22⋊C4—222no—
1419C22⋊C4—222no—
1420C22⋊C4—222no—
1421C22⋊C4—222no—
1422C22⋊C4—222no—
1423C22⋊C4—222no—
1424C22⋊C4—222no—
1425C22⋊C4—222no—
1426C22⋊C4—222no—
1427C22⋊C4—222no—
1428C22⋊C4—222no—
1429C22⋊C4—222no—
1430C22⋊C4—222no—
1431C22⋊C4—222no—
1432C22⋊C4—222no—
1433C22⋊C4—222no—
1434C22⋊C4—222no—
1435C22⋊C4—222no—
1436C22⋊C4—222no—
1437C22⋊C4—441no—
1438C22⋊C4—441no—
1439C22⋊C4—441no—
1440C22⋊C4—441no—
1441C22⋊C4—441no—
1442C22⋊C4—441no—
1443C22⋊C4D4×D1114yes—
1444C22⋊C4#434114yescomplemented
1445C42—22no—
1446C42—22no—
1447C42—41no—
1448C42—114no—
1449C42—222no—
1450C42—222no—
1451C42—222no—
1452C42—222no—
1453C42—222no—
1454C42—222no—
1455C42—222no—
1456C42—222no—
1457C42—222no—
1458C42—222no—
1459C42—222no—
1460C42—441no—
1461C42—441no—
1462C42—441no—
1463C42—441no—
1464C11#3482911yescharacteristic, complemented, Sylow
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—112no—
1492C23—112no—
1493C23—112no—
1494C23—112no—
1495C23—228no—
1496C23—221no—
1497C23—221no—
1498C23—221no—
1499C23—221no—
1500C23—221no—
1501C23—221no—
1502C23—221no—
1503C23—221no—
1504C23—221no—
1505C23—221no—
1506C23—444no—
1507C23—444no—
1508C23—444no—
1509C23—444no—
1510C23—444no—
1511C23—444no—
1512C23C2×D4×D1112yes—
1513C23C2×#434112yes—
1514C23C24×D1111yescharacteristic
1515Q8—44no—
1516Q8—444no—
1517D4—44no—
1518D4—44no—
1519D4—44no—
1520D4—44no—
1521D4—44no—
1522D4—44no—
1523D4—228no—
1524D4—444no—
1525D4—444no—
1526D4—444no—
1527D4—444no—
1528D4—444no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—44no—
1556C2×C4—44no—
1557C2×C4—112no—
1558C2×C4—112no—
1559C2×C4—112no—
1560C2×C4—112no—
1561C2×C4—112no—
1562C2×C4—112no—
1563C2×C4—112no—
1564C2×C4—228no—
1565C2×C4—228no—
1566C2×C4—228no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—221no—
1595C2×C4—221no—
1596C2×C4—221no—
1597C2×C4—221no—
1598C2×C4—221no—
1599C2×C4—221no—
1600C2×C4—221no—
1601C2×C4—221no—
1602C2×C4—444no—
1603C2×C4—444no—
1604C2×C4—444no—
1605C2×C4—444no—
1606C2×C4—444no—
1607C2×C4—444no—
1608C2×C4—444no—
1609C2×C4—444no—
1610C2×C4—444no—
1611C2×C4—444no—
1612C2×C4C2×D4×D1112yes—
1613C2×C4C2×D4×D1112yes—
1614C2×C4C2×#434112yes—
1615C2×C4C2×#434112yes—
1616C2×C4#41×D1112yes—
1617C2×C4#41×D1112yes—
1618C2×C4#41×D1112yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—114no—
1648C22—222no—
1649C22—222no—
1650C22—222no—
1651C22—222no—
1652C22—222no—
1653C22—222no—
1654C22—222no—
1655C22—222no—
1656C22—222no—
1657C22—4416no—
1658C22—441no—
1659C22—441no—
1660C22—441no—
1661C22—441no—
1662C22C22×D4×D1111yescharacteristic
1663C22C22×#434111yescharacteristic
1664C22C2×#41×D1111yescharacteristic
1665C22C2×#41×D1111yescharacteristic
1666C22C2×#41×D1111yescharacteristic
1667C22D11×H(5,𝔽2)11yescharacteristic
1668C22#1062345511yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—114no—
1681C4—222no—
1682C4—222no—
1683C4—222no—
1684C4—222no—
1685C4—441no—
1686C4—441no—
1687C4—441no—
1688C4—441no—
1689C4—441no—
1690C4—441no—
1691C4—441no—
1692C4—441no—
1693C4—441no—
1694C2—42no—
1695C2—42no—
1696C2—81no—
1697C2—81no—
1698C2—224no—
1699C2—442no—
1700C2D11×#53211yescharacteristic
1701C2#1308191111yescharacteristic
1702C2#1308202711yescharacteristic
1703C2D11×#54611yescharacteristic
1704C2D4×#434111yescharacteristic
1705C2#1308217311yescharacteristic
1706C2#1308222111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2555C2
hypercenter#2555D11
hypocenterC11#34829
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2555

Complements

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

NH ≅ G/Ntype
1. C2×#10623211C2semidirect
2. C2×#10623137C2semidirect
3. #13073764C2semidirect
4. #13073741C2semidirect
5. #13073736C2semidirect
6. #13073713C2semidirect
7. #13073700C2semidirect
8. #13073678C2semidirect
9. #13073655C2semidirect
10. #13073621C2semidirect
11. #13073571C2semidirect
12. #13073541C2semidirect
13. #13073501C2semidirect
14. #13072941C2semidirect
15. #13072738C2semidirect
16. #13072166C2semidirect
17. #13072149C2semidirect
18. #13071887C2semidirect
19. #13071872C2semidirect
20. #13071851C2semidirect
21. #13071828C2semidirect
22. #124×Dic11C2semidirect
23. #13071143C2semidirect
24. #13071132C2semidirect
25. #121×Dic11C2semidirect
26. #13071121C2semidirect
27. #13071101C2semidirect
28. #13071076C2semidirect
29. C4×(C22⋊D11)⋊C4C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2555C2semidirect
35. C2×C11×#124C22semidirect
39. C2×Q8×Dic11C22semidirect
49. C2×D4×Dic11C22semidirect
50. C2×D4×Dic11C22semidirect
53. C22×C4×Dic11C22semidirect
70. C2×#66932C22semidirect
71. C2×#66932C22semidirect
72. C2×#66930C22semidirect
73. C2×#66930C22semidirect
76. C2×#66923C22semidirect
77. C11×#395C22semidirect
80. C11×#392C22semidirect
81. C11×#390C22semidirect
82. C11×#388C22semidirect
83. C11×#388C22semidirect
85. C11×#386C22semidirect
87. C4×C11×C22⋊C4C22semidirect
89. #10622843C22semidirect
95. #10622835C22semidirect
96. #10622835C22semidirect
100. #10622833C22semidirect
101. #10622833C22semidirect
103. #10622825C22semidirect
110. #10622599C22semidirect
111. #10622598C22semidirect
112. #10622597C22semidirect
113. C4⋊C4×Dic11C22semidirect
114. C4⋊C4×Dic11C22semidirect
115. #10622585C22semidirect
129. #10622566C22semidirect
130. #10622566C22semidirect
132. #10622565C22semidirect
136. #10622564C22semidirect
137. #10622564C22semidirect
138. #10622564C22semidirect
139. #10622564C22semidirect
142. #10622561C22semidirect
143. #10622560C22semidirect
144. #10622558C22semidirect
145. #10622558C22semidirect
146. #10622557C22semidirect
150. C22⋊C4×Dic11C22semidirect
151. C22⋊C4×Dic11C22semidirect
152. C22⋊C4×Dic11C22semidirect
153. C22⋊C4×Dic11C22semidirect
154. C22⋊C4×Dic11C22semidirect
155. C22⋊C4×Dic11C22semidirect
160. #10622549C22semidirect
161. #10622546C22semidirect
162. C4×Dic11⋊C4C22semidirect
163. C42×Dic11C22semidirect
164. #10622541C22semidirect
177. #10622274C22semidirect
178. #10622274C22semidirect
179. #10622274C22semidirect
180. #10622273C22semidirect
181. #10622269C22semidirect
182. #10622266C22semidirect
183. #10622262C22semidirect
184. #10622262C22semidirect
185. #10622262C22semidirect
186. #10622260C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
349. (C22⋊D11)⋊C4D4semidirect
515. C2×C4×D11#41semidirect
535. C11×C22⋊C4#41semidirect
572. (C2×D11)⋊C4#41semidirect
619. #2555D11semidirect
804. C2×#124C2×D11semidirect
859. #395C2×D11semidirect
873. #392C2×D11semidirect
883. #390C2×D11semidirect
900. #388C2×D11semidirect
901. #388C2×D11semidirect
915. #386C2×D11semidirect
950. C4×C22⋊C4C2×D11semidirect
1444. C22⋊C4#4341semidirect
1464. C11#34829semidirect

Maximal subgroups

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

subgroupindex
C2×#106232112
C2×#106231372
#130737642
#130737412
#130737362
#130737132
#130737002
#130736782
#130736552
#130736212
#130735712
#130735412
#130735012
#130729412
#130727382
#130721662
#130721492
#130718872
#130718722
#130718512
#130718282
#124×Dic112
#130711432
#130711322
#121×Dic112
#130711212
#130711012
#130710762
C4×(C22⋊D11)⋊C42
C4×C22⋊C4×D112
C11×#25552
#3482911