Finite Group Databasebeta

← #14960570

Subgroups — #14960570

Order 2816.

2782 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623139C211yesmaximal, characteristic, complemented
2C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
3#13076897C211yesmaximal, characteristic, complemented
4#13076895C211yesmaximal, characteristic, complemented
5#13075118C211yesmaximal, characteristic, complemented
6#13075116C211yesmaximal, characteristic, complemented
7#13075115C211yesmaximal, characteristic, complemented
8#13075113C211yesmaximal, characteristic, complemented
9#13075111C211yesmaximal, characteristic, complemented
10#13075110C211yesmaximal, characteristic, complemented
11#13075109C211yesmaximal, characteristic, complemented
12#13075108C211yesmaximal, characteristic, complemented
13#13074924C211yesmaximal, characteristic, complemented
14#13074922C211yesmaximal, characteristic, complemented
15#13074919C211yesmaximal, characteristic, complemented
16#13074917C211yesmaximal, characteristic, complemented
17#13074912C211yesmaximal, characteristic, complemented
18#13074911C211yesmaximal, characteristic, complemented
19#13074910C211yesmaximal, characteristic, complemented
20#13074363C211yesmaximal, characteristic, complemented
21#13074357C211yesmaximal, characteristic, complemented
22#13073545C211yesmaximal, characteristic, complemented
23#13073541C211yesmaximal, characteristic, complemented
24#13072271C211yesmaximal, characteristic, complemented
25#13072269C211yesmaximal, characteristic, complemented
26#13071949C211yesmaximal, characteristic, complemented
27#13071946C211yesmaximal, characteristic, complemented
28#13071933C211yesmaximal, characteristic, complemented
29#13071930C211yesmaximal, characteristic, complemented
30#13071215C211yesmaximal, characteristic, complemented
31C11×#2676C211yesmaximal, characteristic, complemented
32C22×Q8×D11C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C22×#4339C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic
36C2×C11×#124C2211yescharacteristic, complemented
37C2×C11×C22⋊Q8C2211yescharacteristic
38C2×C11×#121C2211yescharacteristic
39C2×C11×#121C2211yescharacteristic, complemented
40C2×#66999C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66992C2211yescharacteristic, complemented
43C2×#66992C2211yescharacteristic, complemented
44C2×#66991C2211yescharacteristic
45C2×#66991C2211yescharacteristic
46C2×#66991C2211yescharacteristic
47C2×#66991C2211yescharacteristic, complemented
48C2×#66990C2211yescharacteristic
49C2×#66990C2211yescharacteristic
50C2×#66990C2211yescharacteristic
51C2×#66989C2211yescharacteristic, complemented
52C2×#66977C2211yescharacteristic
53C2×#66977C2211yescharacteristic, complemented
54D11×C22⋊Q8—28no—
55#10623139—28no—
56C2×#66950C2211yescharacteristic
57C2×#66950C2211yescharacteristic, complemented
58C2×#66949C2211yescharacteristic
59C2×#66949C2211yescharacteristic
60C2×#66947C2211yescharacteristic
61C2×C4⋊C4×D11C2211yescharacteristic
62C2×C4⋊C4×D11C2211yescharacteristic
63C2×C4⋊C4×D11C2211yescharacteristic
64C2×#66938C2211yescharacteristic, complemented
65C2×#66938C2211yescharacteristic, complemented
66C2×#66937C2211yescharacteristic
67C2×#66937C2211yescharacteristic
68C2×#66937C2211yescharacteristic
69C2×#66936C2211yescharacteristic
70C2×#66936C2211yescharacteristic
71C2×#66936C2211yescharacteristic
72C2×#66935C2211yescharacteristic
73C2×C22⋊C4×D11C2211yescharacteristic
74C2×C22⋊C4×D11C2211yescharacteristic
75C2×#66931C2211yescharacteristic
76C2×#66931C2211yescharacteristic
77C2×#66931C2211yescharacteristic, complemented
78C2×#66931C2211yescharacteristic, complemented
79C11×#396C2211yescharacteristic, complemented
80C11×#394C2211yescharacteristic, complemented
81C11×#394C2211yescharacteristic, complemented
82C11×#393C2211yescharacteristic, complemented
83C11×#392C2211yescharacteristic
84C11×#392C2211yescharacteristic
85C11×#390C2211yescharacteristic
86C11×#387C2211yescharacteristic, complemented
87C11×#386C2211yescharacteristic
88C11×#386C2211yescharacteristic
89C11×#385C2211yescharacteristic, complemented
90#10622844C2211yescharacteristic, complemented
91#10622843C2211yescharacteristic, complemented
92#10622836C2211yescharacteristic
93#10622836C2211yescharacteristic
94#10622836C2211yescharacteristic
95#10622836C2211yescharacteristic
96#10622835C2211yescharacteristic, complemented
97#10622835C2211yescharacteristic, complemented
98#10622834C2211yescharacteristic
99#10622834C2211yescharacteristic
100#10622833C2211yescharacteristic
101#10622833C2211yescharacteristic
102#10622833C2211yescharacteristic
103#10622833C2211yescharacteristic
104#10622826C2211yescharacteristic
105#10622826C2211yescharacteristic
106#10622825C2211yescharacteristic
107#10622823C2211yescharacteristic, complemented
108#10622607C2211yescharacteristic, complemented
109#10622607C2211yescharacteristic, complemented
110#10622605C2211yescharacteristic
111#10622602C2211yescharacteristic, complemented
112#10622600C2211yescharacteristic
113#10622600C2211yescharacteristic
114#10622597C2211yescharacteristic, complemented
115#10622596C2211yescharacteristic, complemented
116#10622594C2211yescharacteristic, complemented
117#10622592C2211yescharacteristic, complemented
118#10622592C2211yescharacteristic, complemented
119#10622591C2211yescharacteristic, complemented
120#10622574C2211yescharacteristic, complemented
121#10622574C2211yescharacteristic, complemented
122#10622573C2211yescharacteristic
123#10622573C2211yescharacteristic
124#10622572C2211yescharacteristic, complemented
125#10622572C2211yescharacteristic, complemented
126#10622571C2211yescharacteristic
127#10622571C2211yescharacteristic
128#10622570C2211yescharacteristic
129#10622570C2211yescharacteristic
130#10622570C2211yescharacteristic
131#10622570C2211yescharacteristic
132#10622569C2211yescharacteristic
133#10622569C2211yescharacteristic
134#10622569C2211yescharacteristic
135#10622569C2211yescharacteristic
136#10622569C2211yescharacteristic
137#10622569C2211yescharacteristic
138#10622569C2211yescharacteristic
139#10622569C2211yescharacteristic
140#10622569C2211yescharacteristic
141#10622569C2211yescharacteristic
142#10622563C2211yescharacteristic, complemented
143#10622563C2211yescharacteristic, complemented
144#10622562C2211yescharacteristic
145#10622562C2211yescharacteristic
146#10622561C2211yescharacteristic, complemented
147#10622561C2211yescharacteristic, complemented
148#10622561C2211yescharacteristic, complemented
149#10622561C2211yescharacteristic, complemented
150#10622561C2211yescharacteristic, complemented
151#10622560C2211yescharacteristic
152#10622560C2211yescharacteristic
153#10622560C2211yescharacteristic, complemented
154#10622560C2211yescharacteristic, complemented
155#10622560C2211yescharacteristic, complemented
156#10622560C2211yescharacteristic, complemented
157#10622560C2211yescharacteristic, complemented
158#10622559C2211yescharacteristic, complemented
159#10622559C2211yescharacteristic, complemented
160#10622555C2211yescharacteristic
161#10622552C2211yescharacteristic
162C4×(C2×D11)⋊C4C2211yescharacteristic
163#10622546C2211yescharacteristic, complemented
164#10622542C2211yescharacteristic, complemented
165#10622290C2211yescharacteristic
166#10622286C2211yescharacteristic
167#10622286C2211yescharacteristic
168#10622286C2211yescharacteristic, complemented
169#10622281C2211yescharacteristic, complemented
170#10622280C2211yescharacteristic
171#10622280C2211yescharacteristic
172#10622279C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622277C2211yescharacteristic
178#10622277C2211yescharacteristic
179#10622274C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622269C2211yescharacteristic, complemented
182#10622269C2211yescharacteristic, complemented
183#10622268C2211yescharacteristic, complemented
184#10622267C2211yescharacteristic, complemented
185#10622266C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, 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
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C2×Q8×D11—24no—
213C2×Q8×D11—42no—
214C2×Q8×D11—42no—
215C2×#4341—24no—
216C2×#4341—42no—
217C2×#4341—42no—
218C2×#4339—24no—
219C2×#4339—42no—
220C2×#4339—42no—
221C22×D44C2311yescharacteristic
222C22×D44C2311yescharacteristic
223C22×C4×D11—24no—
224C22×C4×D11—42no—
225C22×C4×D11—42no—
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C22×Dic22C2311yescharacteristic
236C22×Dic22C2311yescharacteristic
237C22×Dic22C2311yescharacteristic
238C22×Dic22C2311yescharacteristic
239C22×Dic22C2311yescharacteristic
240C11×#124—42no—
241C11×C22⋊Q8—24no—
242C11×#121—24no—
243C11×#121—42no—
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4C2311yescharacteristic
262C2×C11×C22⋊C4C2311yescharacteristic
263C2×C42×C11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281C2×C22⋊Dic11C2311yescharacteristic
282#66999—24no—
283#66992—24no—
284#66992—24no—
285#66992—42no—
286#66991—24no—
287#66991—24no—
288#66991—24no—
289#66991—42no—
290#66990—42no—
291#66990—42no—
292#66990—42no—
293#66989—42no—
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×C4⋊Dic11C2311yescharacteristic
316C2×C4⋊Dic11C2311yescharacteristic
317C2×C4⋊Dic11C2311yescharacteristic
318C2×C4⋊Dic11C2311yescharacteristic
319C2×C4⋊Dic11C2311yescharacteristic
320C2×C4⋊Dic11C2311yescharacteristic
321C2×C4⋊Dic11C2311yescharacteristic
322C2×C4⋊Dic11C2311yescharacteristic
323#66977—24no—
324#66977—24no—
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×Dic11⋊C4C2311yescharacteristic
332C2×Dic11⋊C4C2311yescharacteristic
333C2×Dic11⋊C4C2311yescharacteristic
334C2×Dic11⋊C4C2311yescharacteristic
335C2×Dic11⋊C4C2311yescharacteristic
336C2×Dic11⋊C4C2311yescharacteristic
337C2×Dic11⋊C4C2311yescharacteristic
338C2×Dic11⋊C4C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342#66950—24no—
343#66950—24no—
344#66949—24no—
345#66949—24no—
346#66947—42no—
347C4⋊C4×D11—24no—
348C4⋊C4×D11—24no—
349C4⋊C4×D11D418yescomplemented
350#66938—42no—
351#66938—42no—
352#66937—24no—
353#66937—24no—
354#66937—42no—
355#66936—42no—
356#66936—42no—
357#66936—42no—
358#66935—42no—
359C22⋊C4×D11—24no—
360C22⋊C4×D11—24no—
361#66931—24no—
362#66931—24no—
363#66931—24no—
364#66931—24no—
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
391C11⋊#95C2311yescharacteristic
392C11⋊#95C2311yescharacteristic
393C11⋊#95C2311yescharacteristic
394C11⋊#95C2311yescharacteristic
395C11⋊#95C2311yescharacteristic
396C11⋊#95C2311yescharacteristic
397#36707—111nomaximal, Sylow
398C24×C11C2411yescharacteristic
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C24×C11C2411yescharacteristic
402C23×D11—22no—
403C23×D11—22no—
404C23×D11—22no—
405C23×D11—22no—
406C23×D11—22no—
407C23×D11—41no—
408C23×D11—41no—
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C2×Q8×C11—22no—
413C2×Q8×C11—22no—
414C2×Q8×C11—41no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—22no—
418C2×D4×C11—22no—
419C2×D4×C11—22no—
420C2×D4×C11—22no—
421C2×D4×C11—41no—
422C2×D4×C11—41no—
423C2×D4×C11—41no—
424C2×D4×C11—41no—
425C2×D4×C11—41no—
426C2×D4×C11—41no—
427C2×D4×C11—41no—
428C2×D4×C11—41no—
429C2×D4×C11—41no—
430C2×D4×C11—41no—
431C2×D4×C11—41no—
432C2×D4×C11—41no—
433C22×C4×C11—22no—
434C22×C4×C11—22no—
435C22×C4×C11—22no—
436C22×C4×C11—41no—
437C22×C4×C11—41no—
438C22×C4×C11—41no—
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C22×C4×C11C2411yescharacteristic
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—22no—
458C2×C22⋊D11—22no—
459C2×C22⋊D11—22no—
460C2×C22⋊D11—22no—
461C2×C22⋊D11—22no—
462C2×C22⋊D11—22no—
463C2×C22⋊D11—22no—
464C2×C22⋊D11—22no—
465C2×C22⋊D11—22no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C2×C22⋊D11—41no—
475C2×C22⋊D11—41no—
476C2×C22⋊D11—41no—
477C2×C22⋊D11—41no—
478C2×C22⋊D11—41no—
479C2×C22⋊D11—41no—
480C22×Dic11—22no—
481C22×Dic11—22no—
482C22×Dic11—22no—
483C22×Dic11—22no—
484C22×Dic11—41no—
485C22×Dic11—41no—
486C22×Dic11—41no—
487C22×Dic11—41no—
488C22×Dic11—41no—
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492C22×Dic11C2411yescharacteristic
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
496C22×Dic11C2411yescharacteristic
497C22×Dic11C2411yescharacteristic
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2411yescharacteristic
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2411yescharacteristic
502Q8×D11—416no—
503#4341—416no—
504#4339—416no—
505C2×D44—22no—
506C2×D44—22no—
507C2×D44—22no—
508C2×D44—22no—
509C2×D44—41no—
510C2×D44—41no—
511C2×C4×D11—22no—
512C2×C4×D11—22no—
513C2×C4×D11—22no—
514C2×C4×D11—22no—
515C2×C4×D11—22no—
516C2×C4×D11—22no—
517C2×C4×D11—22no—
518C2×C4×D11—22no—
519C2×C4×D11—22no—
520C2×C4×D11—22no—
521C2×C4×D11—22no—
522C2×C4×D11—22no—
523C2×C4×D11—22no—
524C2×C4×D11—22no—
525C2×C4×D11—41no—
526C2×C4×D11—41no—
527C2×C4×D11—41no—
528C2×C4×D11—41no—
529C2×C4×D11—41no—
530C2×C4×D11—41no—
531C2×C4×D11—41no—
532C2×C4×D11—41no—
533C2×C4×D11—41no—
534C2×C4×D11—41no—
535C2×C4×D11—416no—
536C2×C4×D11C2×D414yes—
537C2×C4×D11C2×D414yes—
538C2×C4×D11C2×D414yes—
539C2×Dic22—22no—
540C2×Dic22—22no—
541C2×Dic22—22no—
542C2×Dic22—22no—
543C2×Dic22—22no—
544C2×Dic22—22no—
545C2×Dic22—22no—
546C2×Dic22—22no—
547C2×Dic22—41no—
548C2×Dic22—41no—
549C2×Dic22—41no—
550C2×Dic22—41no—
551C2×Dic22—41no—
552C2×Dic22—41no—
553C2×Dic22—41no—
554C11×C4⋊C4—22no—
555C11×C4⋊C4—22no—
556C11×C4⋊C4—41no—
557C11×C4⋊C4—41no—
558C11×C4⋊C4C2×D414yes—
559C11×C22⋊C4—22no—
560C11×C22⋊C4—22no—
561C11×C22⋊C4—22no—
562C11×C22⋊C4—22no—
563C11×C22⋊C4—22no—
564C11×C22⋊C4—22no—
565C11×C22⋊C4—22no—
566C11×C22⋊C4—41no—
567C11×C22⋊C4—41no—
568C11×C22⋊C4—41no—
569C11×C22⋊C4—41no—
570C11×C22⋊C4—41no—
571C11×C22⋊C4—41no—
572C11×C22⋊C4—41no—
573C42×C11—41no—
574C22⋊Dic11—22no—
575C22⋊Dic11—22no—
576C22⋊Dic11—22no—
577C22⋊Dic11—22no—
578C22⋊Dic11—22no—
579C22⋊Dic11—22no—
580C22⋊Dic11—22no—
581C22⋊Dic11—22no—
582C22⋊Dic11—22no—
583C22⋊Dic11—41no—
584C22⋊Dic11—41no—
585C22⋊Dic11—41no—
586C22⋊Dic11—41no—
587C22⋊Dic11—41no—
588C22⋊Dic11—41no—
589C22⋊Dic11—41no—
590C22⋊Dic11—41no—
591C22⋊Dic11—41no—
592(C2×D11)⋊C4—22no—
593(C2×D11)⋊C4—22no—
594(C2×D11)⋊C4—22no—
595(C2×D11)⋊C4—22no—
596(C2×D11)⋊C4—22no—
597(C2×D11)⋊C4—22no—
598(C2×D11)⋊C4—22no—
599(C2×D11)⋊C4—22no—
600(C2×D11)⋊C4—22no—
601(C2×D11)⋊C4—22no—
602(C2×D11)⋊C4—22no—
603(C2×D11)⋊C4—22no—
604(C2×D11)⋊C4—41no—
605(C2×D11)⋊C4—41no—
606(C2×D11)⋊C4—41no—
607(C2×D11)⋊C4—41no—
608(C2×D11)⋊C4—41no—
609(C2×D11)⋊C4—41no—
610(C2×D11)⋊C4—41no—
611(C2×D11)⋊C4—41no—
612C4⋊Dic11—22no—
613C4⋊Dic11—22no—
614C4⋊Dic11—22no—
615C4⋊Dic11—22no—
616C4⋊Dic11—41no—
617C4⋊Dic11—41no—
618C4⋊Dic11—41no—
619C4⋊Dic11—41no—
620C4⋊Dic11C2×D414yes—
621Dic11⋊C4—22no—
622Dic11⋊C4—22no—
623Dic11⋊C4—22no—
624Dic11⋊C4—22no—
625Dic11⋊C4—22no—
626Dic11⋊C4—22no—
627Dic11⋊C4—41no—
628Dic11⋊C4—41no—
629Dic11⋊C4—41no—
630Dic11⋊C4—41no—
631Dic11⋊C4—41no—
632Dic11⋊C4—41no—
633Dic11⋊C4C2×D414yes—
634Dic11⋊C4C2×D414yes—
635C4×Dic11—41no—
636C4×Dic11—41no—
637C4×Dic11—41no—
638C2×#537—111no—
639C22×C22⋊Q8—111no—
640#2847—111no—
641#2847—111no—
642#2692—111no—
643#2692—111no—
644#2692—111no—
645#2692—111no—
646#2692—111no—
647#2692—111no—
648#2692—111no—
649#2692—111no—
650#2676—111no—
651#2676—111no—
652#2676—111no—
653#2676—111no—
654#2676—111no—
655#2676—111no—
656#2676—111no—
657#2676D1111yescharacteristic, complemented
658#2618—111no—
659#2618—111no—
660#2539—111no—
661#2539—111no—
662#2436—111no—
663#2436—111no—
664#2406—111no—
665#2406—111no—
666#2404—111no—
667#2404—111no—
668#2313—111no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11—21no—
675C23×C11—21no—
676C23×C11—21no—
677C23×C11—21no—
678C23×C11—21no—
679C23×C11—21no—
680C23×C11—21no—
681C23×C11—21no—
682C23×C11—21no—
683C23×C11—21no—
684C23×C11—21no—
685C23×C11—21no—
686C23×C11—21no—
687C23×C11—21no—
688C23×C11—21no—
689C23×C11—21no—
690C23×C11—21no—
691C23×C11—21no—
692C23×C11—21no—
693C23×C11—21no—
694C23×C11—21no—
695C23×C11—21no—
696C23×C112−1+412yes—
697C23×C11C2511yescharacteristic
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—28no—
703C22×D11—21no—
704C22×D11—21no—
705C22×D11—21no—
706C22×D11—21no—
707C22×D11—21no—
708C22×D11—21no—
709C22×D11—21no—
710C22×D11—21no—
711C22×D11—21no—
712C22×D11—21no—
713C22×D11—21no—
714C22×D11—21no—
715C22×D11—21no—
716C22×D11—44no—
717C22×D11—44no—
718C22×D11—44no—
719C22×D11—44no—
720C22×D11—44no—
721C22×D11—44no—
722C22×D11C22×D412yes—
723C22×D11H(5,𝔽2)12yes—
724C22×D11H(5,𝔽2)12yes—
725C22×D112−1+412yes—
726Q8×C11—44no—
727D4×C11—44no—
728D4×C11—82no—
729D4×C11—82no—
730D4×C11—82no—
731D4×C11—82no—
732D4×C11—82no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—44no—
763C2×C4×C11—44no—
764C2×C4×C11C22×D412yes—
765C2×C4×C11C22×D412yes—
766C2×C4×C11C22×D412yes—
767C2×C4×C11H(5,𝔽2)12yes—
768C22⋊D11—44no—
769C22⋊D11—44no—
770C22⋊D11—44no—
771C22⋊D11—44no—
772C22⋊D11—82no—
773C22⋊D11—82no—
774C22⋊D11—82no—
775C22⋊D11—82no—
776C22⋊D11—82no—
777C22⋊D11—82no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—44no—
814C2×Dic11—44no—
815C2×Dic11—44no—
816C2×Dic11C22×D412yes—
817C2×Dic11C22×D412yes—
818C2×Dic11C22×D412yes—
819C2×Dic11H(5,𝔽2)12yes—
820D44—44no—
821D44—82no—
822C4×D11—28no—
823C4×D11—28no—
824C4×D11—44no—
825C4×D11—44no—
826C4×D11—44no—
827C4×D11—44no—
828C4×D11—44no—
829C4×D11—44no—
830C4×D11—44no—
831Dic22—44no—
832Dic22—44no—
833Dic22—44no—
834Dic22—44no—
835Dic22—44no—
836C22×#41—111no—
837C22×#41—111no—
838C23×Q8—111no—
839C24×C4—111no—
840#537—228no—
841C2×#124—111no—
842C2×#124—111no—
843C2×#124—111no—
844C2×#124C2×D1111yescharacteristic, complemented
845C2×#123—111no—
846C2×#123—111no—
847C2×#123—111no—
848C2×#123—111no—
849C2×C22⋊Q8—111no—
850C2×C22⋊Q8—111no—
851C2×C22⋊Q8—111no—
852C2×C22⋊Q8—111no—
853C2×C22⋊Q8—111no—
854C2×C22⋊Q8—111no—
855C2×C22⋊Q8—111no—
856C2×C22⋊Q8—111no—
857C2×C22⋊Q8—111no—
858C2×C22⋊Q8—111no—
859C2×C22⋊Q8—111no—
860C2×C22⋊Q8—228no—
861C2×C22⋊Q8C2×D1111yescharacteristic
862C2×#121—111no—
863C2×#121—111no—
864C2×#121—111no—
865C2×#121—111no—
866C2×#121—111no—
867C2×#121—111no—
868C2×#121—111no—
869C2×#121—111no—
870C2×#121—111no—
871C2×#121—111no—
872C2×#121C2×D1111yescharacteristic
873C2×#121C2×D1111yescharacteristic, complemented
874C2×#120—111no—
875C2×#120—111no—
876C2×#120—111no—
877C2×#120—111no—
878C22×C4⋊C4—111no—
879C22×C4⋊C4—111no—
880C22×C4⋊C4—111no—
881C22×C22⋊C4—111no—
882C22×C22⋊C4—111no—
883#399—111no—
884#399—111no—
885#399—111no—
886#399—111no—
887#398—111no—
888#398—111no—
889#398—111no—
890#398—111no—
891#396—111no—
892#396—111no—
893#396—111no—
894#396—111no—
895#396—111no—
896#396—111no—
897#396—111no—
898#396C2×D1111yescharacteristic, complemented
899#395—111no—
900#395—111no—
901#395—111no—
902#395—111no—
903#394—111no—
904#394—111no—
905#394—111no—
906#394—111no—
907#394—111no—
908#394—111no—
909#394C2×D1111yescharacteristic, complemented
910#394C2×D1111yescharacteristic, complemented
911#393—111no—
912#393—111no—
913#393—111no—
914#393—111no—
915#393—111no—
916#393—111no—
917#393—111no—
918#393—111no—
919#393—111no—
920#393—111no—
921#393—111no—
922#393C2×D1111yescharacteristic, complemented
923#392—111no—
924#392—111no—
925#392—111no—
926#392—111no—
927#392—111no—
928#392—111no—
929#392C2×D1111yescharacteristic
930#392C2×D1111yescharacteristic
931#391—111no—
932#391—111no—
933#391—111no—
934#391—111no—
935#390—111no—
936#390—111no—
937#390—111no—
938#390—111no—
939#390—111no—
940#390—111no—
941#390—111no—
942#390C2×D1111yescharacteristic
943#387—111no—
944#387—111no—
945#387—111no—
946#387—111no—
947#387—111no—
948#387—111no—
949#387—111no—
950#387C2×D1111yescharacteristic, complemented
951#386—111no—
952#386—111no—
953#386—111no—
954#386—111no—
955#386—111no—
956#386—111no—
957#386—111no—
958#386—111no—
959#386—111no—
960#386—111no—
961#386—111no—
962#386—111no—
963#386—111no—
964#386—111no—
965#386—111no—
966#386—111no—
967#386—111no—
968#386—111no—
969#386—111no—
970#386—111no—
971#386—111no—
972#386—111no—
973#386C2×D1111yescharacteristic
974#386C2×D1111yescharacteristic
975#385—111no—
976#385—111no—
977#385—111no—
978#385—111no—
979#385—111no—
980#385—111no—
981#385—111no—
982#385C2×D1111yescharacteristic, complemented
983#381—111no—
984#381—111no—
985#380—111no—
986#380—111no—
987#380—111no—
988#380—111no—
989#380—111no—
990#380—111no—
991C4×C22⋊C4—111no—
992C4×C22⋊C4—111no—
993C22×C11—22no—
994C22×C11—22no—
995C22×C11—22no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11—41no—
1000C22×C11—41no—
1001C22×C11—41no—
1002C22×C11—41no—
1003C22×C11—41no—
1004C22×C11—41no—
1005C22×C11—41no—
1006C22×C11—41no—
1007C22×C11—41no—
1008C22×C11—41no—
1009C22×C11—41no—
1010C22×C11—41no—
1011C22×C11—41no—
1012C22×C11—41no—
1013C22×C11—41no—
1014C22×C11—41no—
1015C22×C11—41no—
1016C22×C11—41no—
1017C22×C11—41no—
1018C22×C11—41no—
1019C22×C11—41no—
1020C22×C11—41no—
1021C22×C11C23×D411yescharacteristic
1022C22×C11C2×H(5,𝔽2)11yescharacteristic
1023C22×C11C2×H(5,𝔽2)11yescharacteristic
1024C22×C11C2×H(5,𝔽2)11yescharacteristic
1025C22×C11C2×H(5,𝔽2)11yescharacteristic
1026C22×C11C2×2−1+411yescharacteristic
1027C22×C11C2×2−1+411yescharacteristic
1028C2×D11—22no—
1029C2×D11—22no—
1030C2×D11—22no—
1031C2×D11—22no—
1032C2×D11—22no—
1033C2×D11—22no—
1034C2×D11—22no—
1035C2×D11—22no—
1036C2×D11—22no—
1037C2×D11—416no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11#53514yes—
1050C4×C11—22no—
1051C4×C11—22no—
1052C4×C11—22no—
1053C4×C11—22no—
1054C4×C11—41no—
1055C4×C11—41no—
1056C4×C11—41no—
1057C4×C11—41no—
1058C4×C11—41no—
1059C4×C11—41no—
1060C4×C11—41no—
1061Dic11—22no—
1062Dic11—22no—
1063Dic11—22no—
1064Dic11—22no—
1065Dic11—41no—
1066Dic11—41no—
1067Dic11—41no—
1068Dic11—41no—
1069Dic11—41no—
1070Dic11—41no—
1071Dic11—41no—
1072Dic11—41no—
1073Dic11—41no—
1074C25—111no—
1075C2×#41—224no—
1076C2×#41—224no—
1077C2×#41—442no—
1078C2×#41—442no—
1079C2×#41—442no—
1080C2×#41—442no—
1081C22×Q8—111no—
1082C22×Q8—111no—
1083C22×Q8—111no—
1084C22×Q8—111no—
1085C22×Q8—111no—
1086C22×Q8—224no—
1087C22×Q8—442no—
1088C22×Q8—442no—
1089C22×Q8C22×D1111yescharacteristic
1090C22×D4—111no—
1091C22×D4—111no—
1092C22×D4—111no—
1093C22×D4—111no—
1094C22×D4—111no—
1095C22×D4—111no—
1096C22×D4—111no—
1097C22×D4—111no—
1098C22×D4—111no—
1099C22×D4—111no—
1100C22×D4—111no—
1101C22×D4—111no—
1102C22×D4C22×D1111yescharacteristic
1103C22×D4C22×D1111yescharacteristic
1104C22×D4C22×D1111yescharacteristic
1105C22×D4C22×D1111yescharacteristic
1106C22×D4C22×D1111yescharacteristic
1107C22×D4C22×D1111yescharacteristic
1108C23×C4—111no—
1109C23×C4—111no—
1110C23×C4—111no—
1111C23×C4—111no—
1112C23×C4—111no—
1113C23×C4—111no—
1114C23×C4—111no—
1115C23×C4—111no—
1116C23×C4—111no—
1117C23×C4—111no—
1118C23×C4—111no—
1119C23×C4—111no—
1120C23×C4—224no—
1121C23×C4—442no—
1122C23×C4—442no—
1123C23×C4C22×D1111yescharacteristic
1124C23×C4C22×D1111yescharacteristic
1125#124—42no—
1126#124—442no—
1127#124—442no—
1128#124—442no—
1129#123—442no—
1130#123—442no—
1131#123—442no—
1132#123—442no—
1133C22⋊Q8—24no—
1134C22⋊Q8—224no—
1135C22⋊Q8—224no—
1136C22⋊Q8—224no—
1137C22⋊Q8—224no—
1138C22⋊Q8—224no—
1139C22⋊Q8—224no—
1140C22⋊Q8—224no—
1141C22⋊Q8—224no—
1142C22⋊Q8—224no—
1143C22⋊Q8—224no—
1144C22⋊Q8—224no—
1145#121—24no—
1146#121—42no—
1147#121—224no—
1148#121—224no—
1149#121—224no—
1150#121—224no—
1151#121—224no—
1152#121—224no—
1153#121—224no—
1154#121—442no—
1155#121—442no—
1156#121—442no—
1157#120—442no—
1158#120—442no—
1159#120—442no—
1160#120—442no—
1161C2×C4⋊C4—111no—
1162C2×C4⋊C4—111no—
1163C2×C4⋊C4—111no—
1164C2×C4⋊C4—118no—
1165C2×C4⋊C4—111no—
1166C2×C4⋊C4—111no—
1167C2×C4⋊C4—111no—
1168C2×C4⋊C4—111no—
1169C2×C4⋊C4—111no—
1170C2×C4⋊C4—111no—
1171C2×C4⋊C4—111no—
1172C2×C4⋊C4—111no—
1173C2×C4⋊C4—111no—
1174C2×C4⋊C4—111no—
1175C2×C4⋊C4—111no—
1176C2×C4⋊C4—111no—
1177C2×C4⋊C4—111no—
1178C2×C4⋊C4—111no—
1179C2×C4⋊C4—111no—
1180C2×C4⋊C4—111no—
1181C2×C4⋊C4—111no—
1182C2×C4⋊C4—111no—
1183C2×C4⋊C4—111no—
1184C2×C4⋊C4—111no—
1185C2×C4⋊C4—224no—
1186C2×C4⋊C4—224no—
1187C2×C4⋊C4C22×D1111yescharacteristic
1188C2×C4⋊C4C22×D1111yescharacteristic
1189C2×C4⋊C4C22×D1111yescharacteristic
1190C2×C4⋊C4C22×D1111yescharacteristic
1191C2×C4⋊C4C22×D1111yescharacteristic
1192C2×C22⋊C4—111no—
1193C2×C22⋊C4—111no—
1194C2×C22⋊C4—111no—
1195C2×C22⋊C4—111no—
1196C2×C22⋊C4—111no—
1197C2×C22⋊C4—111no—
1198C2×C22⋊C4—111no—
1199C2×C22⋊C4—111no—
1200C2×C22⋊C4—111no—
1201C2×C22⋊C4—111no—
1202C2×C22⋊C4—111no—
1203C2×C22⋊C4—111no—
1204C2×C22⋊C4—111no—
1205C2×C22⋊C4—111no—
1206C2×C22⋊C4—111no—
1207C2×C22⋊C4—111no—
1208C2×C22⋊C4—111no—
1209C2×C22⋊C4—111no—
1210C2×C22⋊C4—111no—
1211C2×C22⋊C4—111no—
1212C2×C22⋊C4—111no—
1213C2×C22⋊C4—111no—
1214C2×C22⋊C4—111no—
1215C2×C22⋊C4—111no—
1216C2×C22⋊C4—111no—
1217C2×C22⋊C4—111no—
1218C2×C22⋊C4—111no—
1219C2×C22⋊C4—111no—
1220C2×C22⋊C4—111no—
1221C2×C22⋊C4—111no—
1222C2×C22⋊C4—111no—
1223C2×C22⋊C4—111no—
1224C2×C22⋊C4—111no—
1225C2×C22⋊C4—111no—
1226C2×C22⋊C4—111no—
1227C2×C22⋊C4—111no—
1228C2×C22⋊C4—111no—
1229C2×C22⋊C4—111no—
1230C2×C22⋊C4—224no—
1231C2×C22⋊C4—224no—
1232C2×C22⋊C4C22×D1111yescharacteristic
1233C2×C22⋊C4C22×D1111yescharacteristic
1234C2×C22⋊C4C22×D1111yescharacteristic
1235C2×C22⋊C4C22×D1111yescharacteristic
1236C2×C22⋊C4C22×D1111yescharacteristic
1237C2×C22⋊C4C22×D1111yescharacteristic
1238C2×C22⋊C4C22×D1111yescharacteristic
1239C2×C22⋊C4C22×D1111yescharacteristic
1240C2×C22⋊C4C22×D1111yescharacteristic
1241C2×C22⋊C4C22×D1111yescharacteristic
1242C2×C22⋊C4C22×D1111yescharacteristic
1243C2×C22⋊C4C22×D1111yescharacteristic
1244C2×C22⋊C4C22×D1111yescharacteristic
1245C2×C22⋊C4C22×D1111yescharacteristic
1246C2×C42—111no—
1247C2×C42—111no—
1248C2×C42—111no—
1249C2×C42C22×D1111yescharacteristic
1250#95—111no—
1251#95—111no—
1252#95—111no—
1253#95—111no—
1254#95—111no—
1255#95—111no—
1256#95—111no—
1257#95—111no—
1258#95—111no—
1259#95—111no—
1260#95—111no—
1261#95—111no—
1262#95—111no—
1263#95—111no—
1264#95—111no—
1265#95—111no—
1266#95—111no—
1267#95—111no—
1268#95—111no—
1269#95—111no—
1270#95—111no—
1271#95—111no—
1272#95—111no—
1273#95—111no—
1274#95—111no—
1275#95—111no—
1276#95C22×D1111yescharacteristic
1277#95C22×D1111yescharacteristic
1278#95C22×D1111yescharacteristic
1279#95C22×D1111yescharacteristic
1280#95C22×D1111yescharacteristic
1281#95C22×D1111yescharacteristic
1282C2×C11—42no—
1283C2×C11—81no—
1284C2×C11—81no—
1285C2×C11—81no—
1286C2×C11C2×#53511yescharacteristic
1287C2×C11#348411yescharacteristic
1288C2×C11#348611yescharacteristic
1289C2×C11#353611yescharacteristic
1290C2×C11#353611yescharacteristic
1291C2×C11#353611yescharacteristic
1292C2×C11#353611yescharacteristic
1293D11—24no—
1294D11—42no—
1295D11—81no—
1296C24—111no—
1297C24—111no—
1298C24—111no—
1299C24—222no—
1300C24—222no—
1301C24—222no—
1302C24—222no—
1303C24—222no—
1304C24—441no—
1305C24—441no—
1306C24C23×D1111yescharacteristic
1307C24C23×D1111yescharacteristic
1308C24C23×D1111yescharacteristic
1309C24C23×D1111yescharacteristic
1310#41—4416no—
1311#41—4416no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—41no—
1315C2×Q8—222no—
1316C2×Q8—222no—
1317C2×Q8—222no—
1318C2×Q8—222no—
1319C2×Q8—222no—
1320C2×Q8—222no—
1321C2×Q8—222no—
1322C2×Q8—222no—
1323C2×Q8—441no—
1324C2×Q8—441no—
1325C2×Q8—441no—
1326C2×Q8—441no—
1327C2×Q8—441no—
1328C2×Q8—441no—
1329C2×Q8—441no—
1330C2×Q8—4416no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—222no—
1350C2×D4—222no—
1351C2×D4—222no—
1352C2×D4—222no—
1353C2×D4—222no—
1354C2×D4—222no—
1355C2×D4—222no—
1356C2×D4—222no—
1357C2×D4—222no—
1358C2×D4—222no—
1359C2×D4—222no—
1360C2×D4—222no—
1361C2×D4—222no—
1362C2×D4—222no—
1363C2×D4—222no—
1364C2×D4—222no—
1365C2×D4—222no—
1366C2×D4—222no—
1367C2×D4—222no—
1368C2×D4—222no—
1369C2×D4—441no—
1370C2×D4—441no—
1371C2×D4—441no—
1372C2×D4—441no—
1373C2×D4—441no—
1374C2×D4—441no—
1375C2×D4—441no—
1376C2×D4—441no—
1377C2×D4—441no—
1378C2×D4—441no—
1379C2×D4—441no—
1380C2×D4—441no—
1381C2×D4—441no—
1382C2×D4—441no—
1383C2×D4—441no—
1384C2×D4—441no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—111no—
1392C22×C4—111no—
1393C22×C4—111no—
1394C22×C4—111no—
1395C22×C4—114no—
1396C22×C4—114no—
1397C22×C4—114no—
1398C22×C4—111no—
1399C22×C4—111no—
1400C22×C4—111no—
1401C22×C4—111no—
1402C22×C4—111no—
1403C22×C4—111no—
1404C22×C4—111no—
1405C22×C4—111no—
1406C22×C4—111no—
1407C22×C4—222no—
1408C22×C4—222no—
1409C22×C4—222no—
1410C22×C4—222no—
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—441no—
1426C22×C4—441no—
1427C22×C4—441no—
1428C22×C4—441no—
1429C22×C4—441no—
1430C22×C4—441no—
1431C22×C4—441no—
1432C22×C4—441no—
1433C22×C4—441no—
1434C22×C4—441no—
1435C22×C4—4416no—
1436C22×C4—441no—
1437C22×C4—441no—
1438C22×C4—441no—
1439C22×C4—441no—
1440C22×C4—441no—
1441C22×C4C23×D1111yescharacteristic
1442C22×C4C23×D1111yescharacteristic
1443C22×C4C23×D1111yescharacteristic
1444C22×C4C23×D1111yescharacteristic
1445C22×C4C23×D1111yescharacteristic
1446C22×C4C23×D1111yescharacteristic
1447C22×C4C23×D1111yescharacteristic
1448C22×C4C23×D1111yescharacteristic
1449C22×C4C23×D1111yescharacteristic
1450C22×C4C23×D1111yescharacteristic
1451C22×C4C23×D1111yescharacteristic
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—41no—
1455C4⋊C4—41no—
1456C4⋊C4—114no—
1457C4⋊C4—114no—
1458C4⋊C4—114no—
1459C4⋊C4—222no—
1460C4⋊C4—222no—
1461C4⋊C4—222no—
1462C4⋊C4—222no—
1463C4⋊C4—222no—
1464C4⋊C4—222no—
1465C4⋊C4—222no—
1466C4⋊C4—222no—
1467C4⋊C4—222no—
1468C4⋊C4—222no—
1469C4⋊C4—441no—
1470C4⋊C4—441no—
1471C4⋊C4—441no—
1472C4⋊C4—441no—
1473C4⋊C4—441no—
1474C4⋊C4—441no—
1475C4⋊C4—441no—
1476C4⋊C4—441no—
1477C4⋊C4—441no—
1478C4⋊C4—441no—
1479C4⋊C4D4×D1114yes—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—41no—
1492C22⋊C4—41no—
1493C22⋊C4—41no—
1494C22⋊C4—222no—
1495C22⋊C4—222no—
1496C22⋊C4—222no—
1497C22⋊C4—222no—
1498C22⋊C4—222no—
1499C22⋊C4—222no—
1500C22⋊C4—222no—
1501C22⋊C4—222no—
1502C22⋊C4—222no—
1503C22⋊C4—222no—
1504C22⋊C4—222no—
1505C22⋊C4—222no—
1506C22⋊C4—222no—
1507C22⋊C4—222no—
1508C22⋊C4—222no—
1509C22⋊C4—222no—
1510C22⋊C4—222no—
1511C22⋊C4—222no—
1512C22⋊C4—222no—
1513C22⋊C4—222no—
1514C22⋊C4—222no—
1515C22⋊C4—441no—
1516C22⋊C4—441no—
1517C22⋊C4—441no—
1518C22⋊C4—441no—
1519C22⋊C4—441no—
1520C22⋊C4—441no—
1521C22⋊C4—441no—
1522C22⋊C4—441no—
1523C22⋊C4—441no—
1524C22⋊C4—441no—
1525C22⋊C4—441no—
1526C22⋊C4—441no—
1527C22⋊C4—441no—
1528C22⋊C4—441no—
1529C22⋊C4—441no—
1530C22⋊C4—441no—
1531C22⋊C4—441no—
1532C42—41no—
1533C42—441no—
1534C42—441no—
1535C42—441no—
1536C11#3670711yescharacteristic, complemented, Sylow
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—112no—
1565C23—112no—
1566C23—112no—
1567C23—112no—
1568C23—228no—
1569C23—221no—
1570C23—221no—
1571C23—221no—
1572C23—221no—
1573C23—221no—
1574C23—221no—
1575C23—221no—
1576C23—221no—
1577C23—221no—
1578C23—221no—
1579C23—221no—
1580C23—221no—
1581C23—221no—
1582C23—221no—
1583C23—221no—
1584C23—221no—
1585C23—221no—
1586C23—444no—
1587C23—444no—
1588C23—444no—
1589C23—444no—
1590C23—444no—
1591C23—444no—
1592C23#6704312yes—
1593C23C24×D1111yescharacteristic
1594Q8—44no—
1595Q8—444no—
1596Q8—444no—
1597Q8—444no—
1598Q8—444no—
1599Q8—444no—
1600D4—44no—
1601D4—82no—
1602D4—82no—
1603D4—82no—
1604D4—82no—
1605D4—82no—
1606D4—444no—
1607D4—444no—
1608D4—444no—
1609D4—444no—
1610D4—444no—
1611D4—882no—
1612D4—882no—
1613D4—882no—
1614D4—882no—
1615D4—882no—
1616D4—882no—
1617D4—882no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—44no—
1648C2×C4—44no—
1649C2×C4—112no—
1650C2×C4—112no—
1651C2×C4—112no—
1652C2×C4—112no—
1653C2×C4—228no—
1654C2×C4—228no—
1655C2×C4—221no—
1656C2×C4—221no—
1657C2×C4—221no—
1658C2×C4—221no—
1659C2×C4—221no—
1660C2×C4—221no—
1661C2×C4—221no—
1662C2×C4—221no—
1663C2×C4—221no—
1664C2×C4—221no—
1665C2×C4—221no—
1666C2×C4—221no—
1667C2×C4—221no—
1668C2×C4—221no—
1669C2×C4—221no—
1670C2×C4—221no—
1671C2×C4—221no—
1672C2×C4—221no—
1673C2×C4—221no—
1674C2×C4—221no—
1675C2×C4—221no—
1676C2×C4—221no—
1677C2×C4—221no—
1678C2×C4—221no—
1679C2×C4—221no—
1680C2×C4—221no—
1681C2×C4—221no—
1682C2×C4—221no—
1683C2×C4—221no—
1684C2×C4—221no—
1685C2×C4—221no—
1686C2×C4—221no—
1687C2×C4—221no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—444no—
1691C2×C4—444no—
1692C2×C4—444no—
1693C2×C4—444no—
1694C2×C4—444no—
1695C2×C4—444no—
1696C2×C4—444no—
1697C2×C4—444no—
1698C2×C4—444no—
1699C2×C4—444no—
1700C2×C4C2×D4×D1112yes—
1701C2×C4C2×D4×D1112yes—
1702C2×C4C2×D4×D1112yes—
1703C2×C4#6703712yes—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—114no—
1733C22—222no—
1734C22—222no—
1735C22—222no—
1736C22—222no—
1737C22—222no—
1738C22—222no—
1739C22—222no—
1740C22—222no—
1741C22—222no—
1742C22—4416no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—441no—
1750C22—441no—
1751C22—441no—
1752C22—441no—
1753C22—441no—
1754C22C22×D4×D1111yescharacteristic
1755C22C2×#6703711yescharacteristic
1756C22C2×#6704311yescharacteristic
1757C22D11×H(5,𝔽2)11yescharacteristic
1758C22D11×H(5,𝔽2)11yescharacteristic
1759C22D11×H(5,𝔽2)11yescharacteristic
1760C22D11×2−1+411yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—222no—
1773C4—222no—
1774C4—222no—
1775C4—222no—
1776C4—441no—
1777C4—441no—
1778C4—441no—
1779C4—441no—
1780C4—441no—
1781C4—441no—
1782C4—441no—
1783C4—441no—
1784C4—441no—
1785C2—42no—
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—224no—
1790C2—442no—
1791C2—881no—
1792C2D11×#53511yescharacteristic
1793C2#1308224411yescharacteristic
1794C2#1308226211yescharacteristic
1795C2#1308283411yescharacteristic
1796C2#1308283511yescharacteristic
1797C2#1308283611yescharacteristic
1798C2#1308283711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2676C2
hypercenter#2676D11
hypocenterC11#36707
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2676

Complements

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

NH ≅ G/Ntype
1. C2×#10623139C2semidirect
2. C2×D11×C22⋊Q8C2semidirect
3. #13076897C2semidirect
4. #13076895C2semidirect
5. #13075118C2semidirect
6. #13075116C2semidirect
7. #13075115C2semidirect
8. #13075113C2semidirect
9. #13075111C2semidirect
10. #13075110C2semidirect
11. #13075109C2semidirect
12. #13075108C2semidirect
13. #13074924C2semidirect
14. #13074922C2semidirect
15. #13074919C2semidirect
16. #13074917C2semidirect
17. #13074912C2semidirect
18. #13074911C2semidirect
19. #13074910C2semidirect
20. #13074363C2semidirect
21. #13074357C2semidirect
22. #13073545C2semidirect
23. #13073541C2semidirect
24. #13072271C2semidirect
25. #13072269C2semidirect
26. #13071949C2semidirect
27. #13071946C2semidirect
28. #13071933C2semidirect
29. #13071930C2semidirect
30. #13071215C2semidirect
31. C11×#2676C2semidirect
36. C2×C11×#124C22semidirect
39. C2×C11×#121C22semidirect
42. C2×#66992C22semidirect
43. C2×#66992C22semidirect
47. C2×#66991C22semidirect
51. C2×#66989C22semidirect
53. C2×#66977C22semidirect
57. C2×#66950C22semidirect
64. C2×#66938C22semidirect
65. C2×#66938C22semidirect
77. C2×#66931C22semidirect
78. C2×#66931C22semidirect
79. C11×#396C22semidirect
80. C11×#394C22semidirect
81. C11×#394C22semidirect
82. C11×#393C22semidirect
86. C11×#387C22semidirect
89. C11×#385C22semidirect
90. #10622844C22semidirect
91. #10622843C22semidirect
96. #10622835C22semidirect
97. #10622835C22semidirect
107. #10622823C22semidirect
108. #10622607C22semidirect
109. #10622607C22semidirect
111. #10622602C22semidirect
114. #10622597C22semidirect
115. #10622596C22semidirect
116. #10622594C22semidirect
117. #10622592C22semidirect
118. #10622592C22semidirect
119. #10622591C22semidirect
120. #10622574C22semidirect
121. #10622574C22semidirect
124. #10622572C22semidirect
125. #10622572C22semidirect
142. #10622563C22semidirect
143. #10622563C22semidirect
146. #10622561C22semidirect
147. #10622561C22semidirect
148. #10622561C22semidirect
149. #10622561C22semidirect
150. #10622561C22semidirect
153. #10622560C22semidirect
154. #10622560C22semidirect
155. #10622560C22semidirect
156. #10622560C22semidirect
157. #10622560C22semidirect
158. #10622559C22semidirect
159. #10622559C22semidirect
163. #10622546C22semidirect
164. #10622542C22semidirect
168. #10622286C22semidirect
169. #10622281C22semidirect
179. #10622274C22semidirect
180. #10622270C22semidirect
181. #10622269C22semidirect
182. #10622269C22semidirect
183. #10622268C22semidirect
184. #10622267C22semidirect
185. #10622266C22semidirect
186. #10622265C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
349. C4⋊C4×D11D4semidirect
657. #2676D11semidirect
844. C2×#124C2×D11semidirect
873. C2×#121C2×D11semidirect
898. #396C2×D11semidirect
909. #394C2×D11semidirect
910. #394C2×D11semidirect
922. #393C2×D11semidirect
950. #387C2×D11semidirect
982. #385C2×D11semidirect
1536. C11#36707semidirect

Maximal subgroups

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

subgroupindex
C2×#106231392
C2×D11×C22⋊Q82
#130768972
#130768952
#130751182
#130751162
#130751152
#130751132
#130751112
#130751102
#130751092
#130751082
#130749242
#130749222
#130749192
#130749172
#130749122
#130749112
#130749102
#130743632
#130743572
#130735452
#130735412
#130722712
#130722692
#130719492
#130719462
#130719332
#130719302
#130712152
C11×#26762
#3670711