Finite Group Databasebeta

← #14960862

Subgroups — #14960862

Order 2816.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623209C211yesmaximal, characteristic, complemented
2C2×#10623078C211yesmaximal, characteristic, complemented
3#13076907C211yesmaximal, characteristic, complemented
4#13076897C211yesmaximal, characteristic, complemented
5#13075282C211yesmaximal, characteristic, complemented
6#13075237C211yesmaximal, characteristic, complemented
7#13075211C211yesmaximal, characteristic, complemented
8#13075198C211yesmaximal, characteristic, complemented
9#13075032C211yesmaximal, characteristic, complemented
10#13074984C211yesmaximal, characteristic, complemented
11#13074974C211yesmaximal, characteristic, complemented
12#13074965C211yesmaximal, characteristic, complemented
13#13074949C211yesmaximal, characteristic, complemented
14#13074947C211yesmaximal, characteristic, complemented
15#13074947C211yesmaximal, characteristic, complemented
16#13074938C211yesmaximal, characteristic, complemented
17#13074862C211yesmaximal, characteristic, complemented
18#13074837C211yesmaximal, characteristic, complemented
19#13074829C211yesmaximal, characteristic, complemented
20#13074829C211yesmaximal, characteristic, complemented
21#13074504C211yesmaximal, characteristic, complemented
22#13074459C211yesmaximal, characteristic, complemented
23#13074305C211yesmaximal, characteristic, complemented
24#13074237C211yesmaximal, characteristic, complemented
25#13074207C211yesmaximal, characteristic, complemented
26#13074200C211yesmaximal, characteristic, complemented
27#13073504C211yesmaximal, characteristic, complemented
28#13071958C211yesmaximal, characteristic, complemented
29#13071933C211yesmaximal, characteristic, complemented
30#13071254C211yesmaximal, characteristic, complemented
31C11×#2544C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic, complemented
34C2×C11×#127C2211yescharacteristic
35C2×C11×#124C2211yescharacteristic, complemented
36C2×C11×#124C2211yescharacteristic, complemented
37C2×C4×D4×C11C2211yescharacteristic, complemented
38C2×#67000C2211yescharacteristic
39C2×#66999C2211yescharacteristic, complemented
40C2×#66992C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic, complemented
44C2×#66990C2211yescharacteristic
45C2×#66990C2211yescharacteristic
46C2×#66990C2211yescharacteristic, complemented
47C2×#66990C2211yescharacteristic, complemented
48C2×#66990C2211yescharacteristic, complemented
49C2×#66990C2211yescharacteristic, complemented
50C2×C4×C22⋊D11C2211yescharacteristic
51C2×C4×C22⋊D11C2211yescharacteristic, complemented
52#10623209—28no—
53#10623078—28no—
54C2×#66949C2211yescharacteristic, complemented
55C2×#66947C2211yescharacteristic
56C2×#66939C2211yescharacteristic, complemented
57C2×#66937C2211yescharacteristic
58C2×#66937C2211yescharacteristic
59C2×#66937C2211yescharacteristic
60C2×#66937C2211yescharacteristic
61C2×#66936C2211yescharacteristic
62C2×#66936C2211yescharacteristic
63C2×#66936C2211yescharacteristic
64C2×#66936C2211yescharacteristic, complemented
65C2×#66935C2211yescharacteristic
66C2×#66935C2211yescharacteristic
67C2×#66935C2211yescharacteristic
68C2×#66935C2211yescharacteristic
69C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
70C2×C22⋊C4×D11C2211yescharacteristic, complemented
71C2×#66932C2211yescharacteristic, complemented
72C2×#66931C2211yescharacteristic, complemented
73C2×#66931C2211yescharacteristic, complemented
74C2×#66929C2211yescharacteristic, complemented
75C2×C4×D44C2211yescharacteristic
76C2×#66925C2211yescharacteristic, complemented
77C11×#394C2211yescharacteristic
78C11×#394C2211yescharacteristic, complemented
79C11×#394C2211yescharacteristic, complemented
80C11×#394C2211yescharacteristic, complemented
81C11×#391C2211yescharacteristic, complemented
82C11×#390C2211yescharacteristic, complemented
83C11×#386C2211yescharacteristic
84C11×#386C2211yescharacteristic, complemented
85C11×#386C2211yescharacteristic, complemented
86C11×#386C2211yescharacteristic, complemented
87C4×C11×C4⋊C4C2211yescharacteristic, complemented
88#10622844C2211yescharacteristic, complemented
89#10622842C2211yescharacteristic, complemented
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622836C2211yescharacteristic
93#10622836C2211yescharacteristic
94#10622836C2211yescharacteristic
95#10622836C2211yescharacteristic, complemented
96#10622836C2211yescharacteristic, complemented
97#10622836C2211yescharacteristic, complemented
98#10622835C2211yescharacteristic
99#10622835C2211yescharacteristic, complemented
100#10622835C2211yescharacteristic, complemented
101#10622835C2211yescharacteristic, complemented
102#10622833C2211yescharacteristic
103#10622833C2211yescharacteristic, complemented
104#10622826C2211yescharacteristic
105#10622826C2211yescharacteristic, complemented
106#10622823C2211yescharacteristic, complemented
107#10622823C2211yescharacteristic, complemented
108#10622607C2211yescharacteristic, complemented
109#10622607C2211yescharacteristic, complemented
110#10622606C2211yescharacteristic, complemented
111#10622604C2211yescharacteristic
112#10622601C2211yescharacteristic
113#10622601C2211yescharacteristic
114#10622596C2211yescharacteristic, complemented
115#10622593C2211yescharacteristic, complemented
116#10622586C2211yescharacteristic, complemented
117#10622586C2211yescharacteristic, complemented
118#10622574C2211yescharacteristic, complemented
119#10622574C2211yescharacteristic, complemented
120#10622574C2211yescharacteristic, complemented
121#10622574C2211yescharacteristic, complemented
122#10622573C2211yescharacteristic
123#10622573C2211yescharacteristic
124#10622573C2211yescharacteristic
125#10622572C2211yescharacteristic
126#10622572C2211yescharacteristic
127#10622572C2211yescharacteristic
128#10622572C2211yescharacteristic, complemented
129#10622570C2211yescharacteristic
130#10622570C2211yescharacteristic
131#10622570C2211yescharacteristic, complemented
132#10622570C2211yescharacteristic, complemented
133#10622570C2211yescharacteristic, complemented
134#10622569C2211yescharacteristic
135#10622569C2211yescharacteristic
136#10622569C2211yescharacteristic, complemented
137#10622569C2211yescharacteristic, complemented
138#10622569C2211yescharacteristic, complemented
139#10622568C2211yescharacteristic, complemented
140#10622568C2211yescharacteristic, complemented
141#10622564C2211yescharacteristic, complemented
142#10622563C2211yescharacteristic, complemented
143#10622562C2211yescharacteristic, complemented
144#10622561C2211yescharacteristic, complemented
145#10622561C2211yescharacteristic, complemented
146#10622561C2211yescharacteristic, complemented
147#10622560C2211yescharacteristic, complemented
148#10622559C2211yescharacteristic, complemented
149#10622558C2211yescharacteristic, complemented
150#10622558C2211yescharacteristic, complemented
151#10622558C2211yescharacteristic, complemented
152#10622558C2211yescharacteristic, complemented
153#10622557C2211yescharacteristic, complemented
154#10622557C2211yescharacteristic, complemented
155#10622555C2211yescharacteristic, complemented
156#10622553C2211yescharacteristic, complemented
157#10622553C2211yescharacteristic, complemented
158#10622553C2211yescharacteristic, complemented
159#10622553C2211yescharacteristic, complemented
160#10622553C2211yescharacteristic, complemented
161#10622553C2211yescharacteristic, complemented
162#10622552C2211yescharacteristic
163#10622545C2211yescharacteristic, complemented
164#10622541C2211yescharacteristic, complemented
165#10622289C2211yescharacteristic, complemented
166#10622288C2211yescharacteristic, complemented
167#10622288C2211yescharacteristic, complemented
168#10622286C2211yescharacteristic, complemented
169#10622285C2211yescharacteristic
170#10622285C2211yescharacteristic
171#10622283C2211yescharacteristic, complemented
172#10622281C2211yescharacteristic, complemented
173#10622281C2211yescharacteristic, complemented
174#10622280C2211yescharacteristic, complemented
175#10622280C2211yescharacteristic, complemented
176#10622280C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic
179#10622278C2211yescharacteristic
180#10622277C2211yescharacteristic, complemented
181#10622277C2211yescharacteristic, complemented
182#10622277C2211yescharacteristic, complemented
183#10622277C2211yescharacteristic, complemented
184#10622271C2211yescharacteristic, complemented
185#10622270C2211yescharacteristic, complemented
186#10622266C2211yescharacteristic, complemented
187#10622265C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
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
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C2×#4339—24no—
215C2×#4339—42no—
216C2×#4339—42no—
217C22×D44C2311yescharacteristic
218C22×D44C2311yescharacteristic
219C22×D44C2311yescharacteristic
220C22×D44C2311yescharacteristic
221C22×C4×D11—24no—
222C22×C4×D11—42no—
223C22×C4×D11—42no—
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×Dic22C2311yescharacteristic
231C11×#127—42no—
232C11×#124—24no—
233C11×#124—42no—
234C4×D4×C11—24no—
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#66992—24no—
274#66992—24no—
275#66992—42no—
276#66992—42no—
277#66990—24no—
278#66990—24no—
279#66990—42no—
280#66990—42no—
281#66990—42no—
282#66990—42no—
283C4×C22⋊D11—24no—
284C4×C22⋊D11—24no—
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×(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×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
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
340#66949—24no—
341#66947—24no—
342#66939—24no—
343#66937—24no—
344#66937—24no—
345#66937—24no—
346#66937—42no—
347#66936—24no—
348#66936—24no—
349#66936—42no—
350#66936—42no—
351#66935—24no—
352#66935—24no—
353#66935—42no—
354#66935—42no—
355(C22⋊D11)⋊C4—24no—
356C22⋊C4×D11—24no—
357#66932—24no—
358#66931—24no—
359#66931—42no—
360#66929—24no—
361C4×D44D418yescomplemented
362#66925—24no—
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#36724—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11—41no—
403C23×D11—41no—
404C23×D11—41no—
405C23×D11—41no—
406C23×D11—41no—
407C23×D11—41no—
408C23×D11—41no—
409C23×D11—41no—
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C23×D11C2411yescharacteristic
413C23×D11C2411yescharacteristic
414C2×Q8×C11—22no—
415C2×Q8×C11—41no—
416C2×Q8×C11—41no—
417C2×D4×C11—22no—
418C2×D4×C11—22no—
419C2×D4×C11—22no—
420C2×D4×C11—22no—
421C2×D4×C11—22no—
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—
433C2×D4×C11—41no—
434C2×D4×C11—41no—
435C22×C4×C11—22no—
436C22×C4×C11—22no—
437C22×C4×C11—41no—
438C22×C4×C11—41no—
439C22×C4×C11—41no—
440C22×C4×C11—41no—
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
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
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—
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—
487C2×C22⋊D11—41no—
488C22×Dic11—22no—
489C22×Dic11—22no—
490C22×Dic11—22no—
491C22×Dic11—41no—
492C22×Dic11—41no—
493C22×Dic11—41no—
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
496C22×Dic11C2411yescharacteristic
497C22×Dic11C2411yescharacteristic
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2411yescharacteristic
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2411yescharacteristic
502C22×Dic11C2411yescharacteristic
503C22×Dic11C2411yescharacteristic
504C22×Dic11C2411yescharacteristic
505C22×Dic11C2411yescharacteristic
506#4339—416no—
507C2×D44—22no—
508C2×D44—22no—
509C2×D44—22no—
510C2×D44—22no—
511C2×D44—41no—
512C2×D44—41no—
513C2×D44—41no—
514C2×D44—41no—
515C2×D44—41no—
516C2×D44—41no—
517C2×D44—41no—
518C2×D44C2×D414yes—
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—22no—
526C2×C4×D11—22no—
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×Dic22—22no—
539C2×Dic22—22no—
540C2×Dic22—41no—
541C11×C4⋊C4—22no—
542C11×C4⋊C4—41no—
543C11×C4⋊C4—41no—
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—
556C11×C22⋊C4—41no—
557C11×C22⋊C4—41no—
558C42×C11—41no—
559C42×C11—41no—
560C42×C11C2×D414yes—
561C22⋊Dic11—22no—
562C22⋊Dic11—22no—
563C22⋊Dic11—22no—
564C22⋊Dic11—22no—
565C22⋊Dic11—22no—
566C22⋊Dic11—22no—
567C22⋊Dic11—22no—
568C22⋊Dic11—41no—
569C22⋊Dic11—41no—
570C22⋊Dic11—41no—
571C22⋊Dic11—41no—
572C22⋊Dic11—41no—
573C22⋊Dic11—41no—
574C22⋊Dic11—41no—
575C22⋊Dic11—41no—
576C22⋊Dic11—41no—
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—41no—
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)⋊C4—41no—
602(C2×D11)⋊C4—41no—
603(C2×D11)⋊C4—41no—
604(C2×D11)⋊C4—41no—
605(C2×D11)⋊C4C2×D414yes—
606(C2×D11)⋊C4C2×D414yes—
607C4⋊Dic11—22no—
608C4⋊Dic11—22no—
609C4⋊Dic11—41no—
610C4⋊Dic11—41no—
611C4⋊Dic11C2×D414yes—
612Dic11⋊C4—22no—
613Dic11⋊C4—22no—
614Dic11⋊C4—22no—
615Dic11⋊C4—22no—
616Dic11⋊C4—22no—
617Dic11⋊C4—22no—
618Dic11⋊C4—22no—
619Dic11⋊C4—22no—
620Dic11⋊C4—41no—
621Dic11⋊C4—41no—
622Dic11⋊C4—41no—
623Dic11⋊C4—41no—
624Dic11⋊C4—41no—
625Dic11⋊C4—41no—
626Dic11⋊C4—41no—
627Dic11⋊C4—41no—
628C4×Dic11—22no—
629C4×Dic11—22no—
630C4×Dic11—41no—
631C4×Dic11—41no—
632C2×#538—111no—
633C2×#525—111no—
634#2849—111no—
635#2847—111no—
636#2705—111no—
637#2702—111no—
638#2700—111no—
639#2699—111no—
640#2687—111no—
641#2682—111no—
642#2681—111no—
643#2681—111no—
644#2679—111no—
645#2678—111no—
646#2678—111no—
647#2678—111no—
648#2672—111no—
649#2670—111no—
650#2669—111no—
651#2669—111no—
652#2635—111no—
653#2630—111no—
654#2610—111no—
655#2603—111no—
656#2601—111no—
657#2600—111no—
658#2544D1111yescharacteristic, complemented
659#2534—111no—
660#2407—111no—
661#2404—111no—
662#2319—111no—
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×C11—21no—
690C23×C11H(5,𝔽2)12yes—
691C23×C11C2511yescharacteristic
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—21no—
717C22×D11—44no—
718C22×D11—44no—
719C22×D11—44no—
720C22×D11—44no—
721C22×D11—44no—
722C22×D11—44no—
723C22×D11—44no—
724C22×D11—44no—
725C22×D11—82no—
726C22×D11—82no—
727C22×D11—82no—
728C22×D11—82no—
729C22×D11—82no—
730C22×D11—82no—
731C22×D11C22×D412yes—
732C22×D11C22×D412yes—
733C22×D11H(5,𝔽2)12yes—
734Q8×C11—82no—
735D4×C11—44no—
736D4×C11—82no—
737D4×C11—82no—
738D4×C11—82no—
739D4×C11—82no—
740D4×C11—82no—
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—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11—44no—
772C2×C4×C11—44no—
773C2×C4×C11C22×D412yes—
774C2×C4×C11C22×D412yes—
775C2×C4×C11C22×D412yes—
776C22⋊D11—44no—
777C22⋊D11—44no—
778C22⋊D11—44no—
779C22⋊D11—44no—
780C22⋊D11—44no—
781C22⋊D11—82no—
782C22⋊D11—82no—
783C22⋊D11—82no—
784C22⋊D11—82no—
785C22⋊D11—82no—
786C22⋊D11—82no—
787C22⋊D11—82no—
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—21no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—21no—
818C2×Dic11—21no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—44no—
822C2×Dic11—82no—
823C2×Dic11C22×D412yes—
824C2×Dic11C22×D412yes—
825C2×Dic11H(5,𝔽2)12yes—
826D44—44no—
827D44—44no—
828D44—82no—
829D44—82no—
830C4×D11—28no—
831C4×D11—44no—
832C4×D11—44no—
833C4×D11—44no—
834C4×D11—44no—
835C4×D11—82no—
836Dic22—44no—
837C22×#41—111no—
838C24×C4—111no—
839#538—228no—
840C2×#127C2×D1111yescharacteristic
841C2×#126—111no—
842C2×#126—111no—
843C2×#124—111no—
844C2×#124C2×D1111yescharacteristic, complemented
845C2×#124C2×D1111yescharacteristic, complemented
846#525—228no—
847C2×#123—111no—
848C2×#123—111no—
849C2×#123—111no—
850C2×#123—111no—
851C2×#123—111no—
852C2×#123—111no—
853C2×C22⋊Q8—111no—
854C2×C22⋊Q8—111no—
855C2×C22⋊Q8—111no—
856C2×C22⋊Q8—111no—
857C2×#121—111no—
858C2×#121—111no—
859C2×#121—111no—
860C2×#121—111no—
861C2×#121—111no—
862C2×#121—111no—
863C2×#121—111no—
864C2×#121—111no—
865C2×#120—111no—
866C2×#120—111no—
867C2×#120—111no—
868C2×#120—111no—
869C2×#120—111no—
870C2×#120—111no—
871C2×#120—111no—
872C2×#120—111no—
873C2×#120—111no—
874C2×#120—111no—
875C2×C4×D4—111no—
876C2×C4×D4—111no—
877C2×C4×D4—111no—
878C2×C4×D4—111no—
879C2×C4×D4C2×D1111yescharacteristic, complemented
880C2×#117—111no—
881C22×C22⋊C4—111no—
882#400—111no—
883#399—111no—
884#398—111no—
885#398—111no—
886#398—111no—
887#397—111no—
888#397—111no—
889#397—111no—
890#396—111no—
891#396—111no—
892#396—111no—
893#396—111no—
894#396—111no—
895#396—111no—
896#395—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#394—111no—
911#394—111no—
912#394C2×D1111yescharacteristic
913#394C2×D1111yescharacteristic, complemented
914#394C2×D1111yescharacteristic, complemented
915#394C2×D1111yescharacteristic, complemented
916#393—111no—
917#393—111no—
918#393—111no—
919#392—111no—
920#392—111no—
921#392—111no—
922#392—111no—
923#392—111no—
924#392—111no—
925#392—111no—
926#392—111no—
927#392—111no—
928#392—111no—
929#392—111no—
930#391—111no—
931#391C2×D1111yescharacteristic, complemented
932#390—111no—
933#390—111no—
934#390—111no—
935#390—111no—
936#390—111no—
937#390—111no—
938#390—111no—
939#390—111no—
940#390C2×D1111yescharacteristic, complemented
941#389—111no—
942#389—111no—
943#389—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#388—111no—
957#388—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#386—111no—
972#386C2×D1111yescharacteristic
973#386C2×D1111yescharacteristic, complemented
974#386C2×D1111yescharacteristic, complemented
975#386C2×D1111yescharacteristic, complemented
976#385—111no—
977#385—111no—
978#385—111no—
979#385—111no—
980#385—111no—
981#385—111no—
982#381—111no—
983#381—111no—
984#381—111no—
985#381—111no—
986#380—111no—
987#380—111no—
988#380—111no—
989#380—111no—
990#379—111no—
991#379—111no—
992C4×C4⋊C4C2×D1111yescharacteristic, complemented
993#376—111no—
994C22×C11—22no—
995C22×C11—22no—
996C22×C11—22no—
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×C11—41no—
1022C22×C11C23×D411yescharacteristic
1023C22×C11C2×H(5,𝔽2)11yescharacteristic
1024C22×C11C2×H(5,𝔽2)11yescharacteristic
1025C22×C11C2×H(5,𝔽2)11yescharacteristic
1026C22×C11#58511yescharacteristic
1027C22×C11#58511yescharacteristic
1028C22×C11#58511yescharacteristic
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—22no—
1038C2×D11—416no—
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—41no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—88no—
1059C4×C11—22no—
1060C4×C11—22no—
1061C4×C11—22no—
1062C4×C11—41no—
1063C4×C11—41no—
1064C4×C11—41no—
1065C4×C11—41no—
1066C4×C11—41no—
1067C4×C11—41no—
1068C4×C11—41no—
1069C4×C11—41no—
1070Dic11—22no—
1071Dic11—22no—
1072Dic11—22no—
1073Dic11—41no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11—41no—
1077Dic11—41no—
1078Dic11—41no—
1079Dic11—41no—
1080Dic11—41no—
1081Dic11—41no—
1082C25—111no—
1083C25—111no—
1084C2×#41—224no—
1085C2×#41—442no—
1086C2×#41—442no—
1087C22×Q8—111no—
1088C22×Q8C22×D1111yescharacteristic
1089C22×D4—111no—
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×D4—111no—
1103C22×D4—111no—
1104C22×D4—111no—
1105C22×D4C22×D1111yescharacteristic
1106C22×D4C22×D1111yescharacteristic
1107C22×D4C22×D1111yescharacteristic
1108C22×D4C22×D1111yescharacteristic
1109C22×D4C22×D1111yescharacteristic
1110C22×D4C22×D1111yescharacteristic
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—224no—
1120C23×C4—442no—
1121C23×C4—442no—
1122C23×C4C22×D1111yescharacteristic
1123C23×C4C22×D1111yescharacteristic
1124#127—42no—
1125#126—224no—
1126#126—224no—
1127#124—24no—
1128#124—42no—
1129#124—224no—
1130#123—224no—
1131#123—224no—
1132#123—224no—
1133#123—224no—
1134#123—442no—
1135#123—442no—
1136C22⋊Q8—224no—
1137C22⋊Q8—224no—
1138C22⋊Q8—224no—
1139C22⋊Q8—442no—
1140#121—224no—
1141#121—224no—
1142#121—224no—
1143#121—224no—
1144#121—224no—
1145#121—442no—
1146#121—442no—
1147#121—442no—
1148#120—224no—
1149#120—224no—
1150#120—224no—
1151#120—224no—
1152#120—442no—
1153#120—442no—
1154#120—442no—
1155#120—442no—
1156#120—442no—
1157#120—442no—
1158C4×D4—24no—
1159C4×D4—118no—
1160C4×D4—224no—
1161C4×D4—224no—
1162C4×D4—224no—
1163#117—224no—
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⋊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⋊C4C22×D1111yescharacteristic
1186C2×C4⋊C4C22×D1111yescharacteristic
1187C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1227C2×C22⋊C4—111no—
1228C2×C22⋊C4—111no—
1229C2×C22⋊C4—111no—
1230C2×C22⋊C4—111no—
1231C2×C22⋊C4—111no—
1232C2×C22⋊C4—111no—
1233C2×C22⋊C4—111no—
1234C2×C22⋊C4—224no—
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×C22⋊C4C22×D1111yescharacteristic
1247C2×C22⋊C4C22×D1111yescharacteristic
1248C2×C22⋊C4C22×D1111yescharacteristic
1249C2×C42—111no—
1250C2×C42—111no—
1251C2×C42—111no—
1252C2×C42—111no—
1253C2×C42C22×D1111yescharacteristic
1254C2×C42C22×D1111yescharacteristic
1255C2×C42C22×D1111yescharacteristic
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#95—111no—
1277#95—111no—
1278#95C22×D1111yescharacteristic
1279#95C22×D1111yescharacteristic
1280#95C22×D1111yescharacteristic
1281#95C22×D1111yescharacteristic
1282#95C22×D1111yescharacteristic
1283#95C22×D1111yescharacteristic
1284C2×C11—42no—
1285C2×C11—81no—
1286C2×C11—81no—
1287C2×C11—81no—
1288C2×C11#344911yescharacteristic
1289C2×C11#348411yescharacteristic
1290C2×C11#348811yescharacteristic
1291C2×C11#353311yescharacteristic
1292C2×C11#353411yescharacteristic
1293C2×C11#354011yescharacteristic
1294C2×C11#354211yescharacteristic
1295D11—42no—
1296D11—42no—
1297D11—42no—
1298D11—81no—
1299C24—111no—
1300C24—111no—
1301C24—111no—
1302C24—111no—
1303C24—222no—
1304C24—222no—
1305C24—222no—
1306C24—222no—
1307C24—441no—
1308C24—441no—
1309C24—441no—
1310C24—441no—
1311C24—441no—
1312C24—441no—
1313C24—441no—
1314C24—441no—
1315C24—441no—
1316C24—441no—
1317C24C23×D1111yescharacteristic
1318C24C23×D1111yescharacteristic
1319C24C23×D1111yescharacteristic
1320C24C23×D1111yescharacteristic
1321#41—4416no—
1322C2×Q8—22no—
1323C2×Q8—41no—
1324C2×Q8—41no—
1325C2×Q8—222no—
1326C2×Q8—222no—
1327C2×Q8—441no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
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—114no—
1347C2×D4—222no—
1348C2×D4—222no—
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—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—
1383C2×D4—441no—
1384C2×D4—441no—
1385C2×D4—441no—
1386C2×D4—441no—
1387C2×D4—441no—
1388C2×D4—441no—
1389C2×D4—441no—
1390C2×D4—441no—
1391C2×D4—441no—
1392C2×D4—441no—
1393C2×D4—441no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—111no—
1401C22×C4—111no—
1402C22×C4—111no—
1403C22×C4—114no—
1404C22×C4—114no—
1405C22×C4—111no—
1406C22×C4—111no—
1407C22×C4—111no—
1408C22×C4—111no—
1409C22×C4—111no—
1410C22×C4—111no—
1411C22×C4—111no—
1412C22×C4—111no—
1413C22×C4—111no—
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—4416no—
1434C22×C4—441no—
1435C22×C4—441no—
1436C22×C4—441no—
1437C22×C4C23×D1111yescharacteristic
1438C22×C4C23×D1111yescharacteristic
1439C22×C4C23×D1111yescharacteristic
1440C22×C4C23×D1111yescharacteristic
1441C22×C4C23×D1111yescharacteristic
1442C22×C4C23×D1111yescharacteristic
1443C22×C4C23×D1111yescharacteristic
1444C22×C4C23×D1111yescharacteristic
1445C22×C4C23×D1111yescharacteristic
1446C22×C4C23×D1111yescharacteristic
1447C22×C4C23×D1111yescharacteristic
1448C4⋊C4—22no—
1449C4⋊C4—41no—
1450C4⋊C4—41no—
1451C4⋊C4—114no—
1452C4⋊C4—222no—
1453C4⋊C4—222no—
1454C4⋊C4—222no—
1455C4⋊C4—222no—
1456C4⋊C4—222no—
1457C4⋊C4—222no—
1458C4⋊C4—222no—
1459C4⋊C4—222no—
1460C4⋊C4—222no—
1461C4⋊C4—222no—
1462C4⋊C4—441no—
1463C4⋊C4—441no—
1464C4⋊C4—441no—
1465C4⋊C4—441no—
1466C4⋊C4—441no—
1467C4⋊C4—441no—
1468C4⋊C4—441no—
1469C4⋊C4—441no—
1470C4⋊C4—441no—
1471C4⋊C4—441no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—114no—
1487C22⋊C4—114no—
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—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—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—
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—41no—
1534C42—222no—
1535C42—222no—
1536C42—441no—
1537C42—441no—
1538C42D4×D1114yes—
1539C11#3672411yescharacteristic, complemented, Sylow
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—21no—
1565C23—21no—
1566C23—21no—
1567C23—112no—
1568C23—112no—
1569C23—112no—
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—221no—
1587C23—221no—
1588C23—221no—
1589C23—221no—
1590C23—221no—
1591C23—221no—
1592C23—221no—
1593C23—221no—
1594C23—221no—
1595C23—444no—
1596C23—444no—
1597C23—444no—
1598C23—444no—
1599C23—444no—
1600C23—444no—
1601C23—444no—
1602C23—444no—
1603C23—882no—
1604C23—882no—
1605C23—882no—
1606C23—882no—
1607C23—882no—
1608C23—882no—
1609C23#6703712yes—
1610C23C24×D1111yescharacteristic
1611Q8—82no—
1612Q8—444no—
1613D4—44no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—444no—
1620D4—444no—
1621D4—444no—
1622D4—444no—
1623D4—444no—
1624D4—444no—
1625D4—444no—
1626D4—882no—
1627D4—882no—
1628D4—882no—
1629D4—882no—
1630D4—882no—
1631D4—882no—
1632D4—882no—
1633D4—882no—
1634D4—882no—
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—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—112no—
1668C2×C4—112no—
1669C2×C4—112no—
1670C2×C4—228no—
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—221no—
1691C2×C4—221no—
1692C2×C4—221no—
1693C2×C4—221no—
1694C2×C4—221no—
1695C2×C4—221no—
1696C2×C4—221no—
1697C2×C4—221no—
1698C2×C4—221no—
1699C2×C4—221no—
1700C2×C4—221no—
1701C2×C4—221no—
1702C2×C4—221no—
1703C2×C4—221no—
1704C2×C4—444no—
1705C2×C4—444no—
1706C2×C4—444no—
1707C2×C4—444no—
1708C2×C4—444no—
1709C2×C4—882no—
1710C2×C4—882no—
1711C2×C4C2×D4×D1112yes—
1712C2×C4C2×D4×D1112yes—
1713C2×C4C2×D4×D1112yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
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—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—222no—
1743C22—222no—
1744C22—222no—
1745C22—222no—
1746C22—222no—
1747C22—222no—
1748C22—222no—
1749C22—222no—
1750C22—222no—
1751C22—4416no—
1752C22—441no—
1753C22—441no—
1754C22—441no—
1755C22—441no—
1756C22—441no—
1757C22—441no—
1758C22—441no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—441no—
1766C22—441no—
1767C22—441no—
1768C22—441no—
1769C22—441no—
1770C22—441no—
1771C22—888no—
1772C22C22×D4×D1111yescharacteristic
1773C22C2×#6703711yescharacteristic
1774C22#1062345311yescharacteristic
1775C22#1062345311yescharacteristic
1776C22#1062345311yescharacteristic
1777C22D11×H(5,𝔽2)11yescharacteristic
1778C22D11×H(5,𝔽2)11yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—222no—
1791C4—222no—
1792C4—222no—
1793C4—441no—
1794C4—441no—
1795C4—441no—
1796C4—441no—
1797C4—441no—
1798C4—441no—
1799C4—441no—
1800C4—441no—
1801C4—441no—
1802C2—42no—
1803C2—81no—
1804C2—81no—
1805C2—81no—
1806C2—442no—
1807C2—442no—
1808C2—442no—
1809C2—881no—
1810C2#1308194311yescharacteristic
1811C2#1308225011yescharacteristic
1812C2#1308228111yescharacteristic
1813C2#1308279011yescharacteristic
1814C2#1308280111yescharacteristic
1815C2#1308287911yescharacteristic
1816C2#1308291711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2544C2
hypercenter#2544D11
hypocenterC11#36724
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2544

Complements

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

NH ≅ G/Ntype
1. C2×#10623209C2semidirect
2. C2×#10623078C2semidirect
3. #13076907C2semidirect
4. #13076897C2semidirect
5. #13075282C2semidirect
6. #13075237C2semidirect
7. #13075211C2semidirect
8. #13075198C2semidirect
9. #13075032C2semidirect
10. #13074984C2semidirect
11. #13074974C2semidirect
12. #13074965C2semidirect
13. #13074949C2semidirect
14. #13074947C2semidirect
15. #13074947C2semidirect
16. #13074938C2semidirect
17. #13074862C2semidirect
18. #13074837C2semidirect
19. #13074829C2semidirect
20. #13074829C2semidirect
21. #13074504C2semidirect
22. #13074459C2semidirect
23. #13074305C2semidirect
24. #13074237C2semidirect
25. #13074207C2semidirect
26. #13074200C2semidirect
27. #13073504C2semidirect
28. #13071958C2semidirect
29. #13071933C2semidirect
30. #13071254C2semidirect
31. C11×#2544C2semidirect
33. C23×C4×D11C22semidirect
35. C2×C11×#124C22semidirect
36. C2×C11×#124C22semidirect
37. C2×C4×D4×C11C22semidirect
39. C2×#66999C22semidirect
43. C2×#66992C22semidirect
46. C2×#66990C22semidirect
47. C2×#66990C22semidirect
48. C2×#66990C22semidirect
49. C2×#66990C22semidirect
51. C2×C4×C22⋊D11C22semidirect
54. C2×#66949C22semidirect
56. C2×#66939C22semidirect
64. C2×#66936C22semidirect
69. C2×(C22⋊D11)⋊C4C22semidirect
70. C2×C22⋊C4×D11C22semidirect
71. C2×#66932C22semidirect
72. C2×#66931C22semidirect
73. C2×#66931C22semidirect
74. C2×#66929C22semidirect
76. C2×#66925C22semidirect
78. C11×#394C22semidirect
79. C11×#394C22semidirect
80. C11×#394C22semidirect
81. C11×#391C22semidirect
82. C11×#390C22semidirect
84. C11×#386C22semidirect
85. C11×#386C22semidirect
86. C11×#386C22semidirect
87. C4×C11×C4⋊C4C22semidirect
88. #10622844C22semidirect
89. #10622842C22semidirect
95. #10622836C22semidirect
96. #10622836C22semidirect
97. #10622836C22semidirect
99. #10622835C22semidirect
100. #10622835C22semidirect
101. #10622835C22semidirect
103. #10622833C22semidirect
105. #10622826C22semidirect
106. #10622823C22semidirect
107. #10622823C22semidirect
108. #10622607C22semidirect
109. #10622607C22semidirect
110. #10622606C22semidirect
114. #10622596C22semidirect
115. #10622593C22semidirect
116. #10622586C22semidirect
117. #10622586C22semidirect
118. #10622574C22semidirect
119. #10622574C22semidirect
120. #10622574C22semidirect
121. #10622574C22semidirect
128. #10622572C22semidirect
131. #10622570C22semidirect
132. #10622570C22semidirect
133. #10622570C22semidirect
136. #10622569C22semidirect
137. #10622569C22semidirect
138. #10622569C22semidirect
139. #10622568C22semidirect
140. #10622568C22semidirect
141. #10622564C22semidirect
142. #10622563C22semidirect
143. #10622562C22semidirect
144. #10622561C22semidirect
145. #10622561C22semidirect
146. #10622561C22semidirect
147. #10622560C22semidirect
148. #10622559C22semidirect
149. #10622558C22semidirect
150. #10622558C22semidirect
151. #10622558C22semidirect
152. #10622558C22semidirect
153. #10622557C22semidirect
154. #10622557C22semidirect
155. #10622555C22semidirect
156. #10622553C22semidirect
157. #10622553C22semidirect
158. #10622553C22semidirect
159. #10622553C22semidirect
160. #10622553C22semidirect
161. #10622553C22semidirect
163. #10622545C22semidirect
164. #10622541C22semidirect
165. #10622289C22semidirect
166. #10622288C22semidirect
167. #10622288C22semidirect
168. #10622286C22semidirect
171. #10622283C22semidirect
172. #10622281C22semidirect
173. #10622281C22semidirect
174. #10622280C22semidirect
175. #10622280C22semidirect
176. #10622280C22semidirect
180. #10622277C22semidirect
181. #10622277C22semidirect
182. #10622277C22semidirect
183. #10622277C22semidirect
184. #10622271C22semidirect
185. #10622270C22semidirect
186. #10622266C22semidirect
187. #10622265C22semidirect
188. #10622259C22semidirect
361. C4×D44D4semidirect
658. #2544D11semidirect
844. C2×#124C2×D11semidirect
845. C2×#124C2×D11semidirect
879. C2×C4×D4C2×D11semidirect
913. #394C2×D11semidirect
914. #394C2×D11semidirect
915. #394C2×D11semidirect
931. #391C2×D11semidirect
940. #390C2×D11semidirect
973. #386C2×D11semidirect
974. #386C2×D11semidirect
975. #386C2×D11semidirect
992. C4×C4⋊C4C2×D11semidirect
1539. C11#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#106232092
C2×#106230782
#130769072
#130768972
#130752822
#130752372
#130752112
#130751982
#130750322
#130749842
#130749742
#130749652
#130749492
#130749472
#130749382
#130748622
#130748372
#130748292
#130745042
#130744592
#130743052
#130742372
#130742072
#130742002
#130735042
#130719582
#130719332
#130712542
C11×#25442
#3672411