Finite Group Databasebeta

← #14961294

Subgroups — #14961294

Order 2816.

2440 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×#10623093C211yesmaximal, characteristic, complemented
2C2×#10623209C211yesmaximal, characteristic, complemented
3#13076960C211yesmaximal, characteristic, complemented
4#13076946C211yesmaximal, characteristic, complemented
5#13075518C211yesmaximal, characteristic, complemented
6#13075419C211yesmaximal, characteristic, complemented
7#13075143C211yesmaximal, characteristic, complemented
8#13074971C211yesmaximal, characteristic, complemented
9#13074955C211yesmaximal, characteristic, complemented
10#13074944C211yesmaximal, characteristic, complemented
11#13074913C211yesmaximal, characteristic, complemented
12#13074906C211yesmaximal, characteristic, complemented
13#13074888C211yesmaximal, characteristic, complemented
14#13074887C211yesmaximal, characteristic, complemented
15#13074863C211yesmaximal, characteristic, complemented
16#13074857C211yesmaximal, characteristic, complemented
17#13074848C211yesmaximal, characteristic, complemented
18#13074835C211yesmaximal, characteristic, complemented
19#13074828C211yesmaximal, characteristic, complemented
20#13074825C211yesmaximal, characteristic, complemented
21#13074746C211yesmaximal, characteristic, complemented
22#13074746C211yesmaximal, characteristic, complemented
23#13074305C211yesmaximal, characteristic, complemented
24#13074237C211yesmaximal, characteristic, complemented
25#13074225C211yesmaximal, characteristic, complemented
26#13074207C211yesmaximal, characteristic, complemented
27#13073545C211yesmaximal, characteristic, complemented
28#13072031C211yesmaximal, characteristic, complemented
29#13071998C211yesmaximal, characteristic, complemented
30#13071057C211yesmaximal, characteristic, complemented
31C11×#2540C211yesmaximal, characteristic, complemented
32C2×C11×#124C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic, complemented
34C2×C11×C22⋊Q8C2211yescharacteristic, complemented
35C2×C11×#121C2211yescharacteristic
36C2×C11×#121C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic, complemented
38C2×#67000C2211yescharacteristic
39C2×#66999C2211yescharacteristic
40C2×#66993C2211yescharacteristic
41C2×#66993C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic, complemented
44C2×#66991C2211yescharacteristic
45C2×#66991C2211yescharacteristic, complemented
46C2×#66991C2211yescharacteristic, complemented
47C2×#66990C2211yescharacteristic
48C2×#66990C2211yescharacteristic
49C2×#66990C2211yescharacteristic
50C2×#66983C2211yescharacteristic
51C2×#66983C2211yescharacteristic, complemented
52C2×#66982C2211yescharacteristic
53C2×#66982C2211yescharacteristic, complemented
54#10623209—28no—
55#10623093—28no—
56C2×#66948C2211yescharacteristic
57C2×#66948C2211yescharacteristic
58C2×#66947C2211yescharacteristic
59C2×#66943C2211yescharacteristic, complemented
60C2×#66939C2211yescharacteristic
61C2×#66937C2211yescharacteristic
62C2×#66937C2211yescharacteristic
63C2×#66937C2211yescharacteristic
64C2×#66937C2211yescharacteristic
65C2×#66937C2211yescharacteristic, complemented
66C2×#66937C2211yescharacteristic, complemented
67C2×#66936C2211yescharacteristic
68C2×#66936C2211yescharacteristic
69C2×#66936C2211yescharacteristic
70C2×#66936C2211yescharacteristic, complemented
71C2×#66935C2211yescharacteristic
72C2×#66935C2211yescharacteristic
73C2×(C22⋊D11)⋊C4C2211yescharacteristic
74C2×C22⋊C4×D11C2211yescharacteristic
75C2×#66932C2211yescharacteristic
76C2×#66929C2211yescharacteristic
77C2×C4×D44C2211yescharacteristic
78C2×#66925C2211yescharacteristic
79C2×#66925C2211yescharacteristic, complemented
80C2×C42×D11C2211yescharacteristic, complemented
81C11×#399C2211yescharacteristic
82C11×#399C2211yescharacteristic, complemented
83C11×#392C2211yescharacteristic
84C11×#392C2211yescharacteristic, complemented
85C11×#390C2211yescharacteristic
86C11×#390C2211yescharacteristic
87C11×#390C2211yescharacteristic, complemented
88C11×#390C2211yescharacteristic, complemented
89C4×C11×C4⋊C4C2211yescharacteristic, complemented
90#10622844C2211yescharacteristic, complemented
91#10622842C2211yescharacteristic, complemented
92#10622836C2211yescharacteristic
93#10622836C2211yescharacteristic
94#10622836C2211yescharacteristic
95#10622836C2211yescharacteristic
96#10622836C2211yescharacteristic
97#10622836C2211yescharacteristic
98#10622836C2211yescharacteristic
99#10622836C2211yescharacteristic
100#10622836C2211yescharacteristic, complemented
101#10622835C2211yescharacteristic
102#10622835C2211yescharacteristic
103#10622835C2211yescharacteristic, complemented
104#10622834C2211yescharacteristic
105#10622833C2211yescharacteristic, complemented
106#10622826C2211yescharacteristic
107#10622826C2211yescharacteristic
108#10622823C2211yescharacteristic, complemented
109#10622823C2211yescharacteristic, complemented
110#10622607C2211yescharacteristic
111#10622607C2211yescharacteristic
112#10622607C2211yescharacteristic, complemented
113#10622606C2211yescharacteristic
114#10622606C2211yescharacteristic
115#10622605C2211yescharacteristic
116#10622604C2211yescharacteristic
117#10622604C2211yescharacteristic
118#10622604C2211yescharacteristic
119#10622604C2211yescharacteristic, complemented
120#10622603C2211yescharacteristic
121#10622603C2211yescharacteristic
122#10622602C2211yescharacteristic
123#10622602C2211yescharacteristic, complemented
124#10622602C2211yescharacteristic, complemented
125#10622600C2211yescharacteristic, complemented
126#10622598C2211yescharacteristic, complemented
127#10622597C2211yescharacteristic, complemented
128#10622597C2211yescharacteristic, complemented
129#10622596C2211yescharacteristic, complemented
130#10622594C2211yescharacteristic, complemented
131#10622593C2211yescharacteristic, complemented
132#10622589C2211yescharacteristic, complemented
133#10622585C2211yescharacteristic, complemented
134#10622574C2211yescharacteristic
135#10622574C2211yescharacteristic
136#10622574C2211yescharacteristic
137#10622574C2211yescharacteristic, complemented
138#10622573C2211yescharacteristic
139#10622573C2211yescharacteristic
140#10622573C2211yescharacteristic
141#10622573C2211yescharacteristic
142#10622572C2211yescharacteristic
143#10622572C2211yescharacteristic
144#10622572C2211yescharacteristic, complemented
145#10622572C2211yescharacteristic, complemented
146#10622570C2211yescharacteristic
147#10622570C2211yescharacteristic
148#10622570C2211yescharacteristic
149#10622570C2211yescharacteristic
150#10622570C2211yescharacteristic, complemented
151#10622570C2211yescharacteristic, complemented
152#10622570C2211yescharacteristic, complemented
153#10622569C2211yescharacteristic
154#10622569C2211yescharacteristic
155#10622569C2211yescharacteristic
156#10622569C2211yescharacteristic, complemented
157#10622569C2211yescharacteristic, complemented
158#10622568C2211yescharacteristic
159#10622565C2211yescharacteristic
160#10622565C2211yescharacteristic, complemented
161#10622564C2211yescharacteristic
162#10622564C2211yescharacteristic, complemented
163#10622564C2211yescharacteristic, complemented
164#10622563C2211yescharacteristic, complemented
165#10622562C2211yescharacteristic
166#10622561C2211yescharacteristic
167#10622558C2211yescharacteristic
168#10622558C2211yescharacteristic, complemented
169#10622558C2211yescharacteristic, complemented
170#10622558C2211yescharacteristic, complemented
171#10622557C2211yescharacteristic
172#10622557C2211yescharacteristic, complemented
173#10622555C2211yescharacteristic, complemented
174#10622553C2211yescharacteristic
175#10622553C2211yescharacteristic, complemented
176#10622552C2211yescharacteristic
177C4×(C2×D11)⋊C4C2211yescharacteristic
178C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
179#10622545C2211yescharacteristic, complemented
180#10622541C2211yescharacteristic, complemented
181#10622283C2211yescharacteristic
182#10622281C2211yescharacteristic, complemented
183#10622278C2211yescharacteristic
184#10622278C2211yescharacteristic
185#10622278C2211yescharacteristic
186#10622267C2211yescharacteristic, complemented
187#10622267C2211yescharacteristic, complemented
188#10622266C2211yescharacteristic, 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
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C22×D44C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C11×#124—24no—
226C11×C22⋊Q8—42no—
227C11×C22⋊Q8—42no—
228C11×#121—42no—
229C11×#121—42no—
230C4×D4×C11—24no—
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C42×C11C2311yescharacteristic
253C2×C42×C11C2311yescharacteristic
254C2×C42×C11C2311yescharacteristic
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
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271#67000—24no—
272#66999—24no—
273#66993—24no—
274#66993—42no—
275#66992—24no—
276#66992—42no—
277#66991—24no—
278#66991—42no—
279#66991—42no—
280#66990—24no—
281#66990—42no—
282#66990—42no—
283#66983—24no—
284#66983—24no—
285#66982—24no—
286#66982—24no—
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×(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×(C2×D11)⋊C4C2311yescharacteristic
315C2×C4⋊Dic11C2311yescharacteristic
316C2×C4⋊Dic11C2311yescharacteristic
317C2×C4⋊Dic11C2311yescharacteristic
318C2×C4⋊Dic11C2311yescharacteristic
319C2×C4⋊Dic11C2311yescharacteristic
320C2×C4⋊Dic11C2311yescharacteristic
321C2×C4⋊Dic11C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338C2×C4×Dic11C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342#66948—24no—
343#66948—42no—
344#66947—42no—
345#66943—24no—
346#66939—24no—
347#66937—24no—
348#66937—24no—
349#66937—24no—
350#66937—24no—
351#66937—42no—
352#66937—42no—
353#66936—24no—
354#66936—24no—
355#66936—24no—
356#66936—42no—
357#66935—24no—
358#66935—42no—
359(C22⋊D11)⋊C4—24no—
360C22⋊C4×D11—24no—
361#66932—24no—
362#66929—24no—
363C4×D44D418yescomplemented
364#66925—24no—
365#66925—42no—
366C42×D11—42no—
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#36744—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C23×D11—22no—
397C23×D11—41no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11—41no—
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C23×D11C2411yescharacteristic
406C23×D11C2411yescharacteristic
407C2×Q8×C11—22no—
408C2×Q8×C11—41no—
409C2×Q8×C11—41no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
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—
426C2×D4×C11—41no—
427C2×D4×C11—41no—
428C22×C4×C11—22no—
429C22×C4×C11—22no—
430C22×C4×C11—41no—
431C22×C4×C11—41no—
432C22×C4×C11—41no—
433C22×C4×C11—41no—
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
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
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⋊D11—41no—
461C2×C22⋊D11—41no—
462C2×C22⋊D11—41no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
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—
480C2×C22⋊D11—41no—
481C2×C22⋊D11—41no—
482C2×C22⋊D11—41no—
483C2×C22⋊D11—41no—
484C2×C22⋊D11—41no—
485C2×C22⋊D11—41no—
486C2×C22⋊D11—41no—
487C22×Dic11—22no—
488C22×Dic11—41no—
489C22×Dic11—41no—
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492C22×Dic11C2411yescharacteristic
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
496C22×Dic11C2411yescharacteristic
497C22×Dic11C2411yescharacteristic
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2411yescharacteristic
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2411yescharacteristic
502C2×D44—22no—
503C2×D44—22no—
504C2×D44—22no—
505C2×D44—22no—
506C2×D44—41no—
507C2×D44—41no—
508C2×D44—41no—
509C2×D44—41no—
510C2×D44—41no—
511C2×D44—41no—
512C2×D44—41no—
513C2×D44—41no—
514C2×D44—41no—
515C2×D44—41no—
516C2×D44C2×D414yes—
517C2×C4×D11—22no—
518C2×C4×D11—22no—
519C2×C4×D11—22no—
520C2×C4×D11—22no—
521C2×C4×D11—22no—
522C2×C4×D11—41no—
523C2×C4×D11—41no—
524C2×C4×D11—41no—
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×D11C2×D414yes—
534C2×C4×D11C2×D414yes—
535C11×C4⋊C4—22no—
536C11×C4⋊C4—22no—
537C11×C4⋊C4—22no—
538C11×C4⋊C4—22no—
539C11×C4⋊C4—22no—
540C11×C4⋊C4—41no—
541C11×C4⋊C4—41no—
542C11×C22⋊C4—22no—
543C11×C22⋊C4—22no—
544C11×C22⋊C4—22no—
545C11×C22⋊C4—22no—
546C11×C22⋊C4—22no—
547C11×C22⋊C4—22no—
548C11×C22⋊C4—22no—
549C11×C22⋊C4—22no—
550C11×C22⋊C4—22no—
551C11×C22⋊C4—22no—
552C11×C22⋊C4—41no—
553C11×C22⋊C4—41no—
554C11×C22⋊C4—41no—
555C11×C22⋊C4—41no—
556C42×C11—41no—
557C42×C11—41no—
558C42×C11C2×D414yes—
559C22⋊Dic11—22no—
560C22⋊Dic11—22no—
561C22⋊Dic11—22no—
562C22⋊Dic11—22no—
563C22⋊Dic11—22no—
564C22⋊Dic11—22no—
565C22⋊Dic11—41no—
566C22⋊Dic11—41no—
567C22⋊Dic11—41no—
568C22⋊Dic11—41no—
569C22⋊Dic11—41no—
570C22⋊Dic11—41no—
571C22⋊Dic11—41no—
572C22⋊Dic11—41no—
573C22⋊Dic11—41no—
574C22⋊Dic11—41no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—22no—
578(C2×D11)⋊C4—22no—
579(C2×D11)⋊C4—22no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—22no—
582(C2×D11)⋊C4—22no—
583(C2×D11)⋊C4—22no—
584(C2×D11)⋊C4—22no—
585(C2×D11)⋊C4—22no—
586(C2×D11)⋊C4—22no—
587(C2×D11)⋊C4—22no—
588(C2×D11)⋊C4—22no—
589(C2×D11)⋊C4—22no—
590(C2×D11)⋊C4—41no—
591(C2×D11)⋊C4—41no—
592(C2×D11)⋊C4—41no—
593(C2×D11)⋊C4—41no—
594(C2×D11)⋊C4—41no—
595(C2×D11)⋊C4—41no—
596(C2×D11)⋊C4—41no—
597(C2×D11)⋊C4—41no—
598(C2×D11)⋊C4—41no—
599(C2×D11)⋊C4—41no—
600(C2×D11)⋊C4—41no—
601(C2×D11)⋊C4C2×D414yes—
602(C2×D11)⋊C4C2×D414yes—
603C4⋊Dic11—22no—
604C4⋊Dic11—22no—
605C4⋊Dic11—22no—
606C4⋊Dic11—22no—
607C4⋊Dic11—41no—
608C4⋊Dic11—41no—
609C4⋊Dic11C2×D414yes—
610Dic11⋊C4—22no—
611Dic11⋊C4—22no—
612Dic11⋊C4—22no—
613Dic11⋊C4—22no—
614Dic11⋊C4—22no—
615Dic11⋊C4—22no—
616Dic11⋊C4—22no—
617Dic11⋊C4—22no—
618Dic11⋊C4—22no—
619Dic11⋊C4—41no—
620Dic11⋊C4—41no—
621Dic11⋊C4—41no—
622Dic11⋊C4—41no—
623Dic11⋊C4—41no—
624C4×Dic11—22no—
625C4×Dic11—22no—
626C4×Dic11—22no—
627C4×Dic11—22no—
628C4×Dic11—41no—
629C4×Dic11—41no—
630C2×#540—111no—
631C2×#538—111no—
632#2856—111no—
633#2854—111no—
634#2721—111no—
635#2714—111no—
636#2694—111no—
637#2681—111no—
638#2680—111no—
639#2678—111no—
640#2676—111no—
641#2675—111no—
642#2673—111no—
643#2673—111no—
644#2672—111no—
645#2671—111no—
646#2671—111no—
647#2669—111no—
648#2669—111no—
649#2668—111no—
650#2661—111no—
651#2661—111no—
652#2610—111no—
653#2603—111no—
654#2602—111no—
655#2601—111no—
656#2540D1111yescharacteristic, complemented
657#2539—111no—
658#2414—111no—
659#2411—111no—
660#2290—111no—
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×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×C11C2511yescharacteristic
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—21no—
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—82no—
718C22×D11—82no—
719C22×D11—82no—
720C22×D11—82no—
721C22×D11—82no—
722C22×D11—82no—
723C22×D11C22×D412yes—
724C22×D11C22×D412yes—
725Q8×C11—82no—
726D4×C11—44no—
727D4×C11—82no—
728D4×C11—82no—
729D4×C11—82no—
730D4×C11—82no—
731D4×C11—82no—
732C2×C4×C11—21no—
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—82no—
761C2×C4×C11—82no—
762C2×C4×C11C22×D412yes—
763C2×C4×C11C22×D412yes—
764C2×C4×C11C22×D412yes—
765C2×C4×C11H(5,𝔽2)12yes—
766C2×C4×C11H(5,𝔽2)12yes—
767C22⋊D11—44no—
768C22⋊D11—82no—
769C22⋊D11—82no—
770C22⋊D11—82no—
771C22⋊D11—82no—
772C22⋊D11—82no—
773C22⋊D11—82no—
774C22⋊D11—82no—
775C22⋊D11—82no—
776C22⋊D11—82no—
777C22⋊D11—82no—
778C22⋊D11—82no—
779C22⋊D11—82no—
780C22⋊D11—82no—
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—21no—
814C2×Dic11—82no—
815C2×Dic11C22×D412yes—
816C2×Dic11C22×D412yes—
817C2×Dic11H(5,𝔽2)12yes—
818D44—44no—
819D44—82no—
820D44—82no—
821D44—82no—
822D44—82no—
823C4×D11—44no—
824C4×D11—44no—
825C4×D11—44no—
826C4×D11—44no—
827C4×D11—44no—
828C4×D11—82no—
829#540—228no—
830#538—228no—
831C2×#127—111no—
832C2×#127—111no—
833C2×#126—111no—
834C2×#126—111no—
835C2×#125—111no—
836C2×#124—111no—
837C2×#124C2×D1111yescharacteristic
838C2×#123—111no—
839C2×#123—111no—
840C2×#123—111no—
841C2×#123—111no—
842C2×#123—111no—
843C2×#123—111no—
844C2×#123—111no—
845C2×#123—111no—
846C2×C22⋊Q8—111no—
847C2×C22⋊Q8C2×D1111yescharacteristic, complemented
848C2×C22⋊Q8C2×D1111yescharacteristic, complemented
849C2×#121—111no—
850C2×#121—111no—
851C2×#121—111no—
852C2×#121—111no—
853C2×#121—111no—
854C2×#121—111no—
855C2×#121—111no—
856C2×#121—111no—
857C2×#121—111no—
858C2×#121—111no—
859C2×#121—111no—
860C2×#121—111no—
861C2×#121—111no—
862C2×#121—111no—
863C2×#121—111no—
864C2×#121C2×D1111yescharacteristic
865C2×#121C2×D1111yescharacteristic
866C2×#120—111no—
867C2×#120—111no—
868C2×#120—111no—
869C2×#120—111no—
870C2×#120—111no—
871C2×C4×D4—111no—
872C2×C4×D4—111no—
873C2×C4×D4C2×D1111yescharacteristic, complemented
874C2×#117—111no—
875C2×#117—111no—
876C22×C22⋊C4—111no—
877C22×C42—111no—
878#399—111no—
879#399—111no—
880#399C2×D1111yescharacteristic
881#399C2×D1111yescharacteristic, complemented
882#398—111no—
883#398—111no—
884#398—111no—
885#398—111no—
886#397—111no—
887#397—111no—
888#397—111no—
889#397—111no—
890#396—111no—
891#396—111no—
892#396—111no—
893#396—111no—
894#395—111no—
895#394—111no—
896#394—111no—
897#394—111no—
898#394—111no—
899#394—111no—
900#394—111no—
901#394—111no—
902#394—111no—
903#394—111no—
904#394—111no—
905#394—111no—
906#394—111no—
907#394—111no—
908#394—111no—
909#394—111no—
910#393—111no—
911#392—111no—
912#392—111no—
913#392—111no—
914#392—111no—
915#392—111no—
916#392—111no—
917#392—111no—
918#392—111no—
919#392—111no—
920#392—111no—
921#392—111no—
922#392—111no—
923#392—111no—
924#392C2×D1111yescharacteristic
925#392C2×D1111yescharacteristic, complemented
926#390—111no—
927#390—111no—
928#390—111no—
929#390—111no—
930#390—111no—
931#390—111no—
932#390—111no—
933#390—111no—
934#390—111no—
935#390C2×D1111yescharacteristic
936#390C2×D1111yescharacteristic
937#390C2×D1111yescharacteristic, complemented
938#390C2×D1111yescharacteristic, complemented
939#389—111no—
940#389—111no—
941#389—111no—
942#388—111no—
943#388—111no—
944#388—111no—
945#388—111no—
946#388—111no—
947#388—111no—
948#388—111no—
949#388—111no—
950#388—111no—
951#388—111no—
952#388—111no—
953#388—111no—
954#388—111no—
955#388—111no—
956#387—111no—
957#387—111no—
958#387—111no—
959#387—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#385—111no—
972#385—111no—
973#385—111no—
974#385—111no—
975#385—111no—
976#385—111no—
977#385—111no—
978#384—111no—
979#380—111no—
980#380—111no—
981#379—111no—
982C4×C4⋊C4C2×D1111yescharacteristic, complemented
983C4×C22⋊C4—111no—
984C4×C22⋊C4—111no—
985#376—111no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
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×C11C23×D411yescharacteristic
1015C22×C11C2×H(5,𝔽2)11yescharacteristic
1016C22×C11C2×H(5,𝔽2)11yescharacteristic
1017C22×C11C2×H(5,𝔽2)11yescharacteristic
1018C22×C11#58511yescharacteristic
1019C22×C11#58511yescharacteristic
1020C22×C11#58511yescharacteristic
1021C2×D11—22no—
1022C2×D11—22no—
1023C2×D11—22no—
1024C2×D11—22no—
1025C2×D11—22no—
1026C2×D11—22no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C2×D11—41no—
1030C2×D11—41no—
1031C2×D11—41no—
1032C2×D11—41no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11—41no—
1037C2×D11—41no—
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—88no—
1050C4×C11—22no—
1051C4×C11—22no—
1052C4×C11—22no—
1053C4×C11—22no—
1054C4×C11—22no—
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—41no—
1065Dic11—41no—
1066Dic11—41no—
1067Dic11—41no—
1068Dic11—41no—
1069Dic11—41no—
1070Dic11—41no—
1071Dic11—41no—
1072Dic11—41no—
1073C25—111no—
1074C22×Q8C22×D1111yescharacteristic
1075C22×D4—111no—
1076C22×D4—111no—
1077C22×D4—111no—
1078C22×D4—111no—
1079C22×D4—111no—
1080C22×D4—111no—
1081C22×D4—111no—
1082C22×D4—111no—
1083C22×D4—111no—
1084C22×D4—111no—
1085C22×D4—111no—
1086C22×D4—111no—
1087C22×D4—111no—
1088C22×D4—111no—
1089C22×D4—111no—
1090C22×D4—111no—
1091C22×D4—111no—
1092C22×D4—111no—
1093C22×D4—111no—
1094C22×D4C22×D1111yescharacteristic
1095C22×D4C22×D1111yescharacteristic
1096C22×D4C22×D1111yescharacteristic
1097C22×D4C22×D1111yescharacteristic
1098C22×D4C22×D1111yescharacteristic
1099C22×D4C22×D1111yescharacteristic
1100C23×C4—111no—
1101C23×C4—111no—
1102C23×C4—111no—
1103C23×C4—111no—
1104C23×C4—111no—
1105C23×C4—111no—
1106C23×C4—111no—
1107C23×C4C22×D1111yescharacteristic
1108C23×C4C22×D1111yescharacteristic
1109#127—224no—
1110#127—442no—
1111#126—224no—
1112#126—224no—
1113#125—224no—
1114#124—24no—
1115#124—224no—
1116#123—224no—
1117#123—224no—
1118#123—224no—
1119#123—224no—
1120#123—224no—
1121#123—224no—
1122#123—442no—
1123#123—442no—
1124C22⋊Q8—42no—
1125C22⋊Q8—42no—
1126C22⋊Q8—224no—
1127#121—42no—
1128#121—42no—
1129#121—224no—
1130#121—224no—
1131#121—224no—
1132#121—224no—
1133#121—224no—
1134#121—224no—
1135#121—224no—
1136#121—224no—
1137#121—224no—
1138#121—442no—
1139#121—442no—
1140#121—442no—
1141#121—442no—
1142#121—442no—
1143#121—442no—
1144#120—224no—
1145#120—224no—
1146#120—442no—
1147#120—442no—
1148#120—442no—
1149C4×D4—24no—
1150C4×D4—118no—
1151C4×D4—224no—
1152#117—224no—
1153#117—442no—
1154C2×C4⋊C4—111no—
1155C2×C4⋊C4—111no—
1156C2×C4⋊C4—111no—
1157C2×C4⋊C4—111no—
1158C2×C4⋊C4—111no—
1159C2×C4⋊C4—111no—
1160C2×C4⋊C4—111no—
1161C2×C4⋊C4—111no—
1162C2×C4⋊C4—111no—
1163C2×C4⋊C4—111no—
1164C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1176C2×C4⋊C4C22×D1111yescharacteristic
1177C2×C4⋊C4C22×D1111yescharacteristic
1178C2×C4⋊C4C22×D1111yescharacteristic
1179C2×C4⋊C4C22×D1111yescharacteristic
1180C2×C4⋊C4C22×D1111yescharacteristic
1181C2×C4⋊C4C22×D1111yescharacteristic
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—111no—
1187C2×C22⋊C4—111no—
1188C2×C22⋊C4—111no—
1189C2×C22⋊C4—111no—
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—111no—
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—224no—
1227C2×C22⋊C4C22×D1111yescharacteristic
1228C2×C22⋊C4C22×D1111yescharacteristic
1229C2×C22⋊C4C22×D1111yescharacteristic
1230C2×C22⋊C4C22×D1111yescharacteristic
1231C2×C22⋊C4C22×D1111yescharacteristic
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×C42—111no—
1242C2×C42—111no—
1243C2×C42—111no—
1244C2×C42—111no—
1245C2×C42—111no—
1246C2×C42—111no—
1247C2×C42—442no—
1248C2×C42C22×D1111yescharacteristic
1249C2×C42C22×D1111yescharacteristic
1250C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1274#95C22×D1111yescharacteristic
1275C2×C11—81no—
1276C2×C11—81no—
1277C2×C11—81no—
1278C2×C11—81no—
1279C2×C11#344911yescharacteristic
1280C2×C11#349611yescharacteristic
1281C2×C11#349811yescharacteristic
1282C2×C11#353411yescharacteristic
1283C2×C11#354211yescharacteristic
1284C2×C11#355111yescharacteristic
1285C2×C11#356211yescharacteristic
1286D11—42no—
1287D11—42no—
1288D11—81no—
1289D11—81no—
1290C24—111no—
1291C24—111no—
1292C24—111no—
1293C24—111no—
1294C24—222no—
1295C24—441no—
1296C24—441no—
1297C24—441no—
1298C24—441no—
1299C24—441no—
1300C24—441no—
1301C24C23×D1111yescharacteristic
1302C24C23×D1111yescharacteristic
1303C24C23×D1111yescharacteristic
1304C24C23×D1111yescharacteristic
1305C2×Q8—22no—
1306C2×Q8—41no—
1307C2×Q8—41no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—114no—
1327C2×D4—222no—
1328C2×D4—222no—
1329C2×D4—222no—
1330C2×D4—222no—
1331C2×D4—222no—
1332C2×D4—222no—
1333C2×D4—222no—
1334C2×D4—222no—
1335C2×D4—222no—
1336C2×D4—222no—
1337C2×D4—222no—
1338C2×D4—222no—
1339C2×D4—222no—
1340C2×D4—222no—
1341C2×D4—222no—
1342C2×D4—222no—
1343C2×D4—441no—
1344C2×D4—441no—
1345C2×D4—441no—
1346C2×D4—441no—
1347C2×D4—441no—
1348C2×D4—441no—
1349C2×D4—441no—
1350C2×D4—441no—
1351C2×D4—441no—
1352C2×D4—441no—
1353C2×D4—441no—
1354C2×D4—441no—
1355C2×D4—441no—
1356C2×D4—441no—
1357C2×D4—441no—
1358C2×D4—441no—
1359C2×D4—441no—
1360C2×D4—441no—
1361C2×D4—441no—
1362C2×D4—441no—
1363C2×D4—441no—
1364C2×D4—441no—
1365C2×D4—441no—
1366C2×D4—441no—
1367C2×D4—441no—
1368C2×D4—441no—
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—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—111no—
1390C22×C4—111no—
1391C22×C4—111no—
1392C22×C4—114no—
1393C22×C4—114no—
1394C22×C4—111no—
1395C22×C4—111no—
1396C22×C4—111no—
1397C22×C4—111no—
1398C22×C4—111no—
1399C22×C4—111no—
1400C22×C4—111no—
1401C22×C4—111no—
1402C22×C4—111no—
1403C22×C4—222no—
1404C22×C4—222no—
1405C22×C4—222no—
1406C22×C4—222no—
1407C22×C4—222no—
1408C22×C4—222no—
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×C4C23×D1111yescharacteristic
1423C22×C4C23×D1111yescharacteristic
1424C22×C4C23×D1111yescharacteristic
1425C22×C4C23×D1111yescharacteristic
1426C22×C4C23×D1111yescharacteristic
1427C22×C4C23×D1111yescharacteristic
1428C22×C4C23×D1111yescharacteristic
1429C22×C4C23×D1111yescharacteristic
1430C22×C4C23×D1111yescharacteristic
1431C22×C4C23×D1111yescharacteristic
1432C22×C4C23×D1111yescharacteristic
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—41no—
1439C4⋊C4—41no—
1440C4⋊C4—114no—
1441C4⋊C4—222no—
1442C4⋊C4—222no—
1443C4⋊C4—222no—
1444C4⋊C4—222no—
1445C4⋊C4—222no—
1446C4⋊C4—222no—
1447C4⋊C4—222no—
1448C4⋊C4—222no—
1449C4⋊C4—222no—
1450C4⋊C4—222no—
1451C4⋊C4—222no—
1452C4⋊C4—222no—
1453C4⋊C4—222no—
1454C4⋊C4—441no—
1455C4⋊C4—441no—
1456C4⋊C4—441no—
1457C4⋊C4—441no—
1458C4⋊C4—441no—
1459C4⋊C4—441no—
1460C4⋊C4—441no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—114no—
1476C22⋊C4—114no—
1477C22⋊C4—222no—
1478C22⋊C4—222no—
1479C22⋊C4—222no—
1480C22⋊C4—222no—
1481C22⋊C4—222no—
1482C22⋊C4—222no—
1483C22⋊C4—222no—
1484C22⋊C4—222no—
1485C22⋊C4—222no—
1486C22⋊C4—222no—
1487C22⋊C4—222no—
1488C22⋊C4—222no—
1489C22⋊C4—222no—
1490C22⋊C4—222no—
1491C22⋊C4—222no—
1492C22⋊C4—222no—
1493C22⋊C4—222no—
1494C22⋊C4—222no—
1495C22⋊C4—222no—
1496C22⋊C4—222no—
1497C22⋊C4—222no—
1498C22⋊C4—441no—
1499C22⋊C4—441no—
1500C22⋊C4—441no—
1501C22⋊C4—441no—
1502C22⋊C4—441no—
1503C22⋊C4—441no—
1504C22⋊C4—441no—
1505C22⋊C4—441no—
1506C22⋊C4—441no—
1507C22⋊C4—441no—
1508C22⋊C4—441no—
1509C22⋊C4—441no—
1510C22⋊C4—441no—
1511C22⋊C4—441no—
1512C22⋊C4—441no—
1513C22⋊C4—441no—
1514C22⋊C4—441no—
1515C22⋊C4—441no—
1516C22⋊C4—441no—
1517C22⋊C4—441no—
1518C22⋊C4—441no—
1519C42—41no—
1520C42—41no—
1521C42—222no—
1522C42—222no—
1523C42—222no—
1524C42—222no—
1525C42—441no—
1526C42—441no—
1527C42D4×D1114yes—
1528C11#3674411yescharacteristic, complemented, Sylow
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
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—112no—
1558C23—112no—
1559C23—221no—
1560C23—221no—
1561C23—221no—
1562C23—221no—
1563C23—221no—
1564C23—221no—
1565C23—221no—
1566C23—221no—
1567C23—221no—
1568C23—221no—
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—444no—
1586C23—882no—
1587C23—882no—
1588C23—882no—
1589C23—882no—
1590C23—882no—
1591C23—882no—
1592C23C24×D1111yescharacteristic
1593Q8—82no—
1594D4—44no—
1595D4—82no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—444no—
1601D4—444no—
1602D4—882no—
1603D4—882no—
1604D4—882no—
1605D4—882no—
1606D4—882no—
1607D4—882no—
1608D4—882no—
1609D4—882no—
1610D4—882no—
1611D4—882no—
1612D4—882no—
1613D4—882no—
1614D4—882no—
1615D4—882no—
1616D4—882no—
1617D4—882no—
1618D4—882no—
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—82no—
1648C2×C4—82no—
1649C2×C4—112no—
1650C2×C4—112no—
1651C2×C4—112no—
1652C2×C4—221no—
1653C2×C4—221no—
1654C2×C4—221no—
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—444no—
1686C2×C4—444no—
1687C2×C4—444no—
1688C2×C4—444no—
1689C2×C4—444no—
1690C2×C4—882no—
1691C2×C4—882no—
1692C2×C4C2×D4×D1112yes—
1693C2×C4C2×D4×D1112yes—
1694C2×C4C2×D4×D1112yes—
1695C2×C4#6703712yes—
1696C2×C4#6703712yes—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
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—222no—
1726C22—222no—
1727C22—222no—
1728C22—222no—
1729C22—222no—
1730C22—222no—
1731C22—441no—
1732C22—441no—
1733C22—441no—
1734C22—441no—
1735C22—441no—
1736C22—441no—
1737C22—441no—
1738C22—441no—
1739C22—441no—
1740C22—441no—
1741C22—441no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—441no—
1750C22—441no—
1751C22—441no—
1752C22—441no—
1753C22—888no—
1754C22C22×D4×D1111yescharacteristic
1755C22C2×#6703711yescharacteristic
1756C22C2×#6703711yescharacteristic
1757C22#1062345311yescharacteristic
1758C22#1062345311yescharacteristic
1759C22D11×H(5,𝔽2)11yescharacteristic
1760C22#1062345711yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—222no—
1773C4—222no—
1774C4—222no—
1775C4—441no—
1776C4—441no—
1777C4—441no—
1778C4—441no—
1779C4—441no—
1780C4—441no—
1781C4—441no—
1782C4—441no—
1783C4—441no—
1784C2—81no—
1785C2—81no—
1786C2—81no—
1787C2—81no—
1788C2—442no—
1789C2—442no—
1790C2—881no—
1791C2—881no—
1792C2#1308194611yescharacteristic
1793C2#1308237911yescharacteristic
1794C2#1308239211yescharacteristic
1795C2#1308280111yescharacteristic
1796C2#1308291711yescharacteristic
1797C2#1308303211yescharacteristic
1798C2#1308320711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2540C2
hypercenter#2540D11
hypocenterC11#36744
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2540

Complements

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

NH ≅ G/Ntype
1. C2×#10623093C2semidirect
2. C2×#10623209C2semidirect
3. #13076960C2semidirect
4. #13076946C2semidirect
5. #13075518C2semidirect
6. #13075419C2semidirect
7. #13075143C2semidirect
8. #13074971C2semidirect
9. #13074955C2semidirect
10. #13074944C2semidirect
11. #13074913C2semidirect
12. #13074906C2semidirect
13. #13074888C2semidirect
14. #13074887C2semidirect
15. #13074863C2semidirect
16. #13074857C2semidirect
17. #13074848C2semidirect
18. #13074835C2semidirect
19. #13074828C2semidirect
20. #13074825C2semidirect
21. #13074746C2semidirect
22. #13074746C2semidirect
23. #13074305C2semidirect
24. #13074237C2semidirect
25. #13074225C2semidirect
26. #13074207C2semidirect
27. #13073545C2semidirect
28. #13072031C2semidirect
29. #13071998C2semidirect
30. #13071057C2semidirect
31. C11×#2540C2semidirect
33. C2×C11×C22⋊Q8C22semidirect
34. C2×C11×C22⋊Q8C22semidirect
37. C2×C4×D4×C11C22semidirect
43. C2×#66992C22semidirect
45. C2×#66991C22semidirect
46. C2×#66991C22semidirect
51. C2×#66983C22semidirect
53. C2×#66982C22semidirect
59. C2×#66943C22semidirect
65. C2×#66937C22semidirect
66. C2×#66937C22semidirect
70. C2×#66936C22semidirect
79. C2×#66925C22semidirect
80. C2×C42×D11C22semidirect
82. C11×#399C22semidirect
84. C11×#392C22semidirect
87. C11×#390C22semidirect
88. C11×#390C22semidirect
89. C4×C11×C4⋊C4C22semidirect
90. #10622844C22semidirect
91. #10622842C22semidirect
100. #10622836C22semidirect
103. #10622835C22semidirect
105. #10622833C22semidirect
108. #10622823C22semidirect
109. #10622823C22semidirect
112. #10622607C22semidirect
119. #10622604C22semidirect
123. #10622602C22semidirect
124. #10622602C22semidirect
125. #10622600C22semidirect
126. #10622598C22semidirect
127. #10622597C22semidirect
128. #10622597C22semidirect
129. #10622596C22semidirect
130. #10622594C22semidirect
131. #10622593C22semidirect
132. #10622589C22semidirect
133. #10622585C22semidirect
137. #10622574C22semidirect
144. #10622572C22semidirect
145. #10622572C22semidirect
150. #10622570C22semidirect
151. #10622570C22semidirect
152. #10622570C22semidirect
156. #10622569C22semidirect
157. #10622569C22semidirect
160. #10622565C22semidirect
162. #10622564C22semidirect
163. #10622564C22semidirect
164. #10622563C22semidirect
168. #10622558C22semidirect
169. #10622558C22semidirect
170. #10622558C22semidirect
172. #10622557C22semidirect
173. #10622555C22semidirect
175. #10622553C22semidirect
178. C4×(C2×D11)⋊C4C22semidirect
179. #10622545C22semidirect
180. #10622541C22semidirect
182. #10622281C22semidirect
186. #10622267C22semidirect
187. #10622267C22semidirect
188. #10622266C22semidirect
363. C4×D44D4semidirect
656. #2540D11semidirect
847. C2×C22⋊Q8C2×D11semidirect
848. C2×C22⋊Q8C2×D11semidirect
873. C2×C4×D4C2×D11semidirect
881. #399C2×D11semidirect
925. #392C2×D11semidirect
937. #390C2×D11semidirect
938. #390C2×D11semidirect
982. C4×C4⋊C4C2×D11semidirect
1528. C11#36744semidirect

Maximal subgroups

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

subgroupindex
C2×#106230932
C2×#106232092
#130769602
#130769462
#130755182
#130754192
#130751432
#130749712
#130749552
#130749442
#130749132
#130749062
#130748882
#130748872
#130748632
#130748572
#130748482
#130748352
#130748282
#130748252
#130747462
#130743052
#130742372
#130742252
#130742072
#130735452
#130720312
#130719982
#130710572
C11×#25402
#3674411