Finite Group Databasebeta

← #14926690

Subgroups — #14926690

Order 2816.

2642 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623188C211yesmaximal, characteristic, complemented
2C2×#10623209C211yesmaximal, characteristic, complemented
3#13076965C211yesmaximal, characteristic, complemented
4#13076960C211yesmaximal, characteristic, complemented
5#13076897C211yesmaximal, characteristic, complemented
6#13076897C211yesmaximal, characteristic, complemented
7#13074545C211yesmaximal, characteristic, complemented
8#13074543C211yesmaximal, characteristic, complemented
9#13074351C211yesmaximal, characteristic, complemented
10#13074349C211yesmaximal, characteristic, complemented
11#13073747C211yesmaximal, characteristic, complemented
12#13073745C211yesmaximal, characteristic, complemented
13#13073744C211yesmaximal, characteristic, complemented
14#13073742C211yesmaximal, characteristic, complemented
15#13073722C211yesmaximal, characteristic, complemented
16#13073720C211yesmaximal, characteristic, complemented
17#13073709C211yesmaximal, characteristic, complemented
18#13073037C211yesmaximal, characteristic, complemented
19#13073031C211yesmaximal, characteristic, complemented
20#13072976C211yesmaximal, characteristic, complemented
21#13072974C211yesmaximal, characteristic, complemented
22#13072203C211yesmaximal, characteristic, complemented
23#13072197C211yesmaximal, characteristic, complemented
24#13072127C211yesmaximal, characteristic, complemented
25#13072125C211yesmaximal, characteristic, complemented
26#13071318C211yesmaximal, characteristic, complemented
27#13071315C211yesmaximal, characteristic, complemented
28#13071128C211yesmaximal, characteristic, complemented
29C4×#66937C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2557C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#124C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×#67000C2211yescharacteristic
36C2×#66999C2211yescharacteristic
37C2×#66997C2211yescharacteristic, complemented
38C2×#66993C2211yescharacteristic, complemented
39C2×#66992C2211yescharacteristic
40C2×#66992C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66991C2211yescharacteristic
43C2×#66991C2211yescharacteristic
44C2×#66990C2211yescharacteristic
45C2×#66990C2211yescharacteristic
46C2×#66983C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic
48C2×C4×C22⋊D11C2211yescharacteristic, complemented
49#10623209—28no—
50#10623188—28no—
51C2×#66951C2211yescharacteristic
52C2×#66950C2211yescharacteristic
53C2×#66948C2211yescharacteristic
54C2×#66947C2211yescharacteristic
55C2×#66946C2211yescharacteristic
56C2×#66939C2211yescharacteristic
57C2×#66938C2211yescharacteristic
58C2×#66938C2211yescharacteristic
59C2×#66937C2211yescharacteristic
60C2×#66937C2211yescharacteristic
61C2×#66937C2211yescharacteristic
62C2×#66937C2211yescharacteristic
63C2×#66937C2211yescharacteristic
64C2×#66937C2211yescharacteristic
65C2×#66937C2211yescharacteristic
66C2×#66936C2211yescharacteristic
67C2×#66935C2211yescharacteristic
68C2×#66935C2211yescharacteristic
69C2×(C22⋊D11)⋊C4C2211yescharacteristic
70C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
71C2×C22⋊C4×D11C2211yescharacteristic
72C2×C22⋊C4×D11C2211yescharacteristic
73C2×#66932C2211yescharacteristic
74C2×#66932C2211yescharacteristic
75C2×#66929C2211yescharacteristic
76C2×C4×D44C2211yescharacteristic
77C2×C42×D11C2211yescharacteristic
78C2×C42×D11C2211yescharacteristic
79C11×#397C2211yescharacteristic
80C11×#397C2211yescharacteristic, complemented
81C11×#393C2211yescharacteristic, complemented
82C11×#392C2211yescharacteristic
83C11×#391C2211yescharacteristic, complemented
84C11×#390C2211yescharacteristic, complemented
85C11×#388C2211yescharacteristic, complemented
86C11×#387C2211yescharacteristic, complemented
87C11×#386C2211yescharacteristic
88C11×#386C2211yescharacteristic
89C11×#386C2211yescharacteristic, complemented
90C4×C11×C22⋊C4C2211yescharacteristic
91C4×C11×C22⋊C4C2211yescharacteristic, complemented
92#10622844C2211yescharacteristic, complemented
93#10622836C2211yescharacteristic
94#10622835C2211yescharacteristic
95#10622835C2211yescharacteristic
96#10622833C2211yescharacteristic, complemented
97#10622826C2211yescharacteristic
98#10622826C2211yescharacteristic
99#10622823C2211yescharacteristic, complemented
100C4×C22⋊Dic11C2211yescharacteristic
101#10622606C2211yescharacteristic
102#10622606C2211yescharacteristic, complemented
103#10622602C2211yescharacteristic, complemented
104#10622594C2211yescharacteristic, complemented
105#10622589C2211yescharacteristic, complemented
106#10622589C2211yescharacteristic, complemented
107#10622585C2211yescharacteristic, complemented
108#10622574C2211yescharacteristic, complemented
109#10622574C2211yescharacteristic, complemented
110#10622573C2211yescharacteristic
111#10622572C2211yescharacteristic
112#10622572C2211yescharacteristic
113#10622572C2211yescharacteristic
114#10622572C2211yescharacteristic
115#10622572C2211yescharacteristic, complemented
116#10622572C2211yescharacteristic, complemented
117#10622570C2211yescharacteristic, complemented
118#10622570C2211yescharacteristic, complemented
119#10622570C2211yescharacteristic, complemented
120#10622570C2211yescharacteristic, complemented
121#10622570C2211yescharacteristic, complemented
122#10622570C2211yescharacteristic, complemented
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622569C2211yescharacteristic
129#10622566C2211yescharacteristic
130#10622566C2211yescharacteristic, complemented
131#10622564C2211yescharacteristic, complemented
132#10622560C2211yescharacteristic, complemented
133#10622559C2211yescharacteristic, complemented
134#10622558C2211yescharacteristic, complemented
135#10622557C2211yescharacteristic, complemented
136#10622555C2211yescharacteristic
137#10622555C2211yescharacteristic
138C22⋊C4×Dic11C2211yescharacteristic
139C22⋊C4×Dic11C2211yescharacteristic
140C22⋊C4×Dic11C2211yescharacteristic, complemented
141#10622553C2211yescharacteristic, complemented
142#10622553C2211yescharacteristic, complemented
143#10622552C2211yescharacteristic, complemented
144C4×(C2×D11)⋊C4C2211yescharacteristic
145C4×(C2×D11)⋊C4C2211yescharacteristic
146C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
147C4×Dic11⋊C4C2211yescharacteristic, complemented
148#10622542C2211yescharacteristic, complemented
149#10622287C2211yescharacteristic
150#10622287C2211yescharacteristic, complemented
151#10622286C2211yescharacteristic, complemented
152#10622285C2211yescharacteristic
153#10622285C2211yescharacteristic
154#10622284C2211yescharacteristic
155#10622282C2211yescharacteristic, complemented
156#10622282C2211yescharacteristic, complemented
157#10622281C2211yescharacteristic, complemented
158#10622280C2211yescharacteristic
159#10622280C2211yescharacteristic
160#10622280C2211yescharacteristic
161#10622280C2211yescharacteristic
162#10622280C2211yescharacteristic
163#10622280C2211yescharacteristic
164#10622279C2211yescharacteristic
165#10622279C2211yescharacteristic
166#10622279C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175D11×#95C2211yescharacteristic
176D11×#95C2211yescharacteristic
177#10622273C2211yescharacteristic, complemented
178#10622273C2211yescharacteristic, complemented
179#10622271C2211yescharacteristic, complemented
180#10622271C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×D44C2311yescharacteristic
213C22×C4×D11—24no—
214C22×C4×D11—42no—
215C22×C4×D11—42no—
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×Dic22C2311yescharacteristic
227C11×#124—24no—
228C11×#123—24no—
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259#67000—24no—
260#66999—24no—
261#66997—42no—
262#66993—42no—
263#66992—24no—
264#66992—42no—
265#66992—42no—
266#66991—24no—
267#66991—24no—
268#66990—24no—
269#66990—24no—
270#66983—24no—
271C4×C22⋊D11—24no—
272C4×C22⋊D11—42no—
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331#66951—24no—
332#66950—24no—
333#66948—24no—
334#66947—24no—
335#66946—24no—
336#66939—24no—
337#66938—24no—
338#66938—24no—
339#66937—24no—
340#66937—24no—
341#66937—24no—
342#66937—24no—
343#66937—24no—
344#66937—42no—
345#66937—42no—
346#66936—24no—
347#66935—24no—
348#66935—24no—
349(C22⋊D11)⋊C4—24no—
350(C22⋊D11)⋊C4—42no—
351C22⋊C4×D11—24no—
352C22⋊C4×D11D418yescomplemented
353#66932—24no—
354#66932—24no—
355#66929—24no—
356C4×D44—24no—
357C42×D11—42no—
358C42×D11—42no—
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11×#95C2311yescharacteristic
364C11×#95C2311yescharacteristic
365C11×#95C2311yescharacteristic
366C11×#95C2311yescharacteristic
367C11×#95C2311yescharacteristic
368C11×#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#35005—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—41no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11C2×D414yes—
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C23×D11C2411yescharacteristic
406C2×Q8×C11—22no—
407C2×Q8×C11—41no—
408C2×Q8×C11—41no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—41no—
413C2×D4×C11—41no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C22×C4×C11—22no—
419C22×C4×C11—22no—
420C22×C4×C11—41no—
421C22×C4×C11—41no—
422C22×C4×C11—41no—
423C22×C4×C11—41no—
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—41no—
455C2×C22⋊D11—41no—
456C2×C22⋊D11—41no—
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—
466C22×Dic11—22no—
467C22×Dic11—22no—
468C22×Dic11—22no—
469C22×Dic11—22no—
470C22×Dic11—41no—
471C22×Dic11—41no—
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C2×D44—22no—
485C2×D44—22no—
486C2×D44—22no—
487C2×D44—22no—
488C2×D44—22no—
489C2×D44—22no—
490C2×D44—22no—
491C2×D44—22no—
492C2×D44—22no—
493C2×D44—41no—
494C2×D44—41no—
495C2×D44—41no—
496C2×D44—41no—
497C2×D44—41no—
498C2×D44—41no—
499C2×C4×D11—22no—
500C2×C4×D11—22no—
501C2×C4×D11—22no—
502C2×C4×D11—22no—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—22no—
509C2×C4×D11—41no—
510C2×C4×D11—41no—
511C2×C4×D11—41no—
512C2×C4×D11—41no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11—41no—
518C2×C4×D11—41no—
519C2×C4×D11—41no—
520C2×C4×D11—41no—
521C2×C4×D11—41no—
522C2×C4×D11—41no—
523C2×C4×D11—41no—
524C2×C4×D11—41no—
525C2×C4×D11—416no—
526C2×C4×D11C2×D414yes—
527C2×C4×D11C2×D414yes—
528C2×C4×D11#4114yes—
529C2×C4×D11#4114yes—
530C2×Dic22—22no—
531C2×Dic22—41no—
532C2×Dic22—41no—
533C11×C4⋊C4—22no—
534C11×C4⋊C4—22no—
535C11×C4⋊C4—22no—
536C11×C22⋊C4—22no—
537C11×C22⋊C4—22no—
538C11×C22⋊C4—22no—
539C11×C22⋊C4—22no—
540C11×C22⋊C4—22no—
541C11×C22⋊C4—22no—
542C11×C22⋊C4—22no—
543C11×C22⋊C4—22no—
544C11×C22⋊C4—41no—
545C11×C22⋊C4—41no—
546C11×C22⋊C4—41no—
547C11×C22⋊C4—41no—
548C11×C22⋊C4C2×D414yes—
549C42×C11—22no—
550C42×C11—41no—
551C42×C11—41no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
554C22⋊Dic11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—41no—
559C22⋊Dic11—41no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562C22⋊Dic11C2×D414yes—
563(C2×D11)⋊C4—22no—
564(C2×D11)⋊C4—22no—
565(C2×D11)⋊C4—22no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
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—41no—
582(C2×D11)⋊C4—41no—
583(C2×D11)⋊C4—41no—
584(C2×D11)⋊C4—41no—
585(C2×D11)⋊C4—41no—
586(C2×D11)⋊C4—41no—
587(C2×D11)⋊C4—41no—
588(C2×D11)⋊C4—41no—
589(C2×D11)⋊C4C2×D414yes—
590(C2×D11)⋊C4C2×D414yes—
591C4⋊Dic11—22no—
592C4⋊Dic11—22no—
593C4⋊Dic11—22no—
594C4⋊Dic11—22no—
595C4⋊Dic11—22no—
596Dic11⋊C4—22no—
597Dic11⋊C4—22no—
598Dic11⋊C4—22no—
599Dic11⋊C4—22no—
600Dic11⋊C4—22no—
601Dic11⋊C4—22no—
602Dic11⋊C4—22no—
603Dic11⋊C4—22no—
604Dic11⋊C4—22no—
605Dic11⋊C4—22no—
606Dic11⋊C4—22no—
607Dic11⋊C4—22no—
608Dic11⋊C4—41no—
609Dic11⋊C4—41no—
610Dic11⋊C4—41no—
611Dic11⋊C4—41no—
612C4×Dic11—22no—
613C4×Dic11—22no—
614C4×Dic11—22no—
615C4×Dic11—22no—
616C4×Dic11—22no—
617C4×Dic11—22no—
618C4×Dic11—22no—
619C4×Dic11—41no—
620C4×Dic11—41no—
621C2×#538—111no—
622C2×#538—111no—
623#2857—111no—
624#2856—111no—
625#2847—111no—
626#2847—111no—
627#2639—111no—
628#2639—111no—
629#2617—111no—
630#2617—111no—
631#2559—111no—
632#2559—111no—
633#2559—111no—
634#2559—111no—
635#2557—111no—
636#2557—111no—
637#2557—111no—
638#2557D1111yescharacteristic, complemented
639#2496—111no—
640#2496—111no—
641#2491—111no—
642#2491—111no—
643#2428—111no—
644#2428—111no—
645#2422—111no—
646#2422—111no—
647#2325—111no—
648#2325—111no—
649C4×#121—111no—
650C4×#121—111no—
651C2×C4×C22⋊C4—111no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11C22×D412yes—
673C23×C11C2511yescharacteristic
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—28no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
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—44no—
700C22×D11—44no—
701C22×D11—44no—
702C22×D11—44no—
703C22×D11—44no—
704C22×D11—44no—
705C22×D11C22×D412yes—
706C22×D11C22×D412yes—
707C22×D11C2×#4112yes—
708C22×D11C2×#4112yes—
709Q8×C11—82no—
710D4×C11—82no—
711D4×C11—82no—
712D4×C11—82no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
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—44no—
746C2×C4×C11—82no—
747C2×C4×C11C22×D412yes—
748C2×C4×C11C22×D412yes—
749C2×C4×C11C2×#4112yes—
750C2×C4×C11C2×#4112yes—
751C22⋊D11—44no—
752C22⋊D11—44no—
753C22⋊D11—44no—
754C22⋊D11—44no—
755C22⋊D11—82no—
756C22⋊D11—82no—
757C22⋊D11—82no—
758C22⋊D11—82no—
759C22⋊D11—82no—
760C22⋊D11—82no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—44no—
792C2×Dic11—82no—
793C2×Dic11C22×D412yes—
794C2×Dic11C22×D412yes—
795C2×Dic11C2×#4112yes—
796C2×Dic11C2×#4112yes—
797C2×Dic11H(5,𝔽2)12yes—
798C2×Dic11H(5,𝔽2)12yes—
799D44—44no—
800D44—44no—
801D44—82no—
802D44—82no—
803D44—82no—
804C4×D11—28no—
805C4×D11—44no—
806C4×D11—44no—
807C4×D11—44no—
808C4×D11—44no—
809C4×D11—44no—
810C4×D11—44no—
811C4×D11—44no—
812C4×D11—82no—
813C4×D11—82no—
814Dic22—82no—
815C24×C4—111no—
816#538—228no—
817#538—228no—
818C2×C4⋊Q8—111no—
819C2×#127—111no—
820C2×#126—111no—
821C2×#126—111no—
822C2×#126—111no—
823C2×#126—111no—
824C2×#124—111no—
825C2×#124—111no—
826C2×#124—111no—
827C2×#124C2×D1111yescharacteristic
828C2×#123—111no—
829C2×#123—111no—
830C2×#123—111no—
831C2×#123C2×D1111yescharacteristic
832C2×C22⋊Q8—111no—
833C2×C22⋊Q8—111no—
834C2×#121—111no—
835C2×#121—111no—
836C2×#121—111no—
837C2×#121—111no—
838C2×#121—111no—
839C2×#121—111no—
840C2×#121—111no—
841C2×#121—111no—
842C2×#121—111no—
843C2×#121—111no—
844C2×#121—111no—
845C2×#121—111no—
846C2×#121—111no—
847C2×#121—111no—
848C2×#120—111no—
849C2×#120—111no—
850C2×#120—111no—
851C2×#120—111no—
852C2×C4×D4—111no—
853C2×C4×D4—111no—
854C2×C4×D4—111no—
855C2×C4×D4—111no—
856C2×C4×D4—111no—
857C2×C4×D4—111no—
858C22×C22⋊C4—111no—
859C22×C22⋊C4—111no—
860C22×C42—111no—
861C22×C42—111no—
862#400—111no—
863#400—111no—
864#400—111no—
865#400—111no—
866#397—111no—
867#397—111no—
868#397—111no—
869#397—111no—
870#397—111no—
871#397—111no—
872#397C2×D1111yescharacteristic
873#397C2×D1111yescharacteristic, complemented
874#394—111no—
875#394—111no—
876#394—111no—
877#394—111no—
878#394—111no—
879#394—111no—
880#394—111no—
881#394—111no—
882#394—111no—
883#394—111no—
884#394—111no—
885#394—111no—
886#393—111no—
887#393—111no—
888#393—111no—
889#393C2×D1111yescharacteristic, complemented
890#392—111no—
891#392—111no—
892#392—111no—
893#392C2×D1111yescharacteristic
894#391—111no—
895#391C2×D1111yescharacteristic, complemented
896#390—111no—
897#390—111no—
898#390—111no—
899#390—111no—
900#390—111no—
901#390—111no—
902#390—111no—
903#390C2×D1111yescharacteristic, complemented
904#389—111no—
905#389—111no—
906#389—111no—
907#389—111no—
908#389—111no—
909#389—111no—
910#388—111no—
911#388—111no—
912#388—111no—
913#388—111no—
914#388—111no—
915#388—111no—
916#388—111no—
917#388C2×D1111yescharacteristic, complemented
918#387—111no—
919#387—111no—
920#387—111no—
921#387C2×D1111yescharacteristic, complemented
922#386—111no—
923#386—111no—
924#386—111no—
925#386—111no—
926#386—111no—
927#386—111no—
928#386—111no—
929#386—111no—
930#386—111no—
931#386—111no—
932#386—111no—
933#386—111no—
934#386—111no—
935#386—111no—
936#386—111no—
937#386—111no—
938#386—111no—
939#386C2×D1111yescharacteristic
940#386C2×D1111yescharacteristic
941#386C2×D1111yescharacteristic, complemented
942#385—111no—
943#385—111no—
944#385—111no—
945#385—111no—
946#384—111no—
947#384—111no—
948#380—111no—
949#380—111no—
950#380—111no—
951#380—111no—
952#380—111no—
953#380—111no—
954#380—111no—
955#380—111no—
956C4×C4⋊C4—111no—
957C4×C4⋊C4—111no—
958C4×C22⋊C4—111no—
959C4×C22⋊C4—111no—
960C4×C22⋊C4—111no—
961C4×C22⋊C4—111no—
962C4×C22⋊C4—111no—
963C4×C22⋊C4—111no—
964C4×C22⋊C4—111no—
965C4×C22⋊C4—111no—
966C4×C22⋊C4—111no—
967C4×C22⋊C4—111no—
968C4×C22⋊C4C2×D1111yescharacteristic
969C4×C22⋊C4C2×D1111yescharacteristic, complemented
970C2×#95—111no—
971C2×#95—111no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—41no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11C23×D411yescharacteristic
994C22×C11C22×#4111yescharacteristic
995C22×C11C22×#4111yescharacteristic
996C22×C11C2×H(5,𝔽2)11yescharacteristic
997C22×C11C2×H(5,𝔽2)11yescharacteristic
998C22×C11#58511yescharacteristic
999C22×C11#58511yescharacteristic
1000C2×D11—22no—
1001C2×D11—22no—
1002C2×D11—22no—
1003C2×D11—22no—
1004C2×D11—22no—
1005C2×D11—22no—
1006C2×D11—22no—
1007C2×D11—22no—
1008C2×D11—22no—
1009C2×D11—416no—
1010C2×D11—41no—
1011C2×D11—41no—
1012C2×D11—41no—
1013C2×D11—41no—
1014C2×D11—41no—
1015C2×D11—41no—
1016C2×D11—41no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11#53214yes—
1029C4×C11—22no—
1030C4×C11—22no—
1031C4×C11—22no—
1032C4×C11—22no—
1033C4×C11—41no—
1034C4×C11—41no—
1035C4×C11—41no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040C4×C11—41no—
1041Dic11—22no—
1042Dic11—22no—
1043Dic11—22no—
1044Dic11—41no—
1045Dic11—41no—
1046Dic11—41no—
1047Dic11—41no—
1048Dic11—41no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11#53814yescomplemented
1053C25—111no—
1054C22×Q8—111no—
1055C22×Q8C22×D1111yescharacteristic
1056C22×D4—111no—
1057C22×D4—111no—
1058C22×D4—111no—
1059C22×D4—111no—
1060C22×D4—111no—
1061C22×D4—111no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4—111no—
1069C22×D4—111no—
1070C22×D4—111no—
1071C22×D4C22×D1111yescharacteristic
1072C22×D4C22×D1111yescharacteristic
1073C22×D4C22×D1111yescharacteristic
1074C23×C4—111no—
1075C23×C4—111no—
1076C23×C4—111no—
1077C23×C4—111no—
1078C23×C4—111no—
1079C23×C4—111no—
1080C23×C4—111no—
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—111no—
1085C23×C4—111no—
1086C23×C4—224no—
1087C23×C4—442no—
1088C23×C4—442no—
1089C23×C4C22×D1111yescharacteristic
1090C23×C4C22×D1111yescharacteristic
1091C4⋊Q8—442no—
1092#127—442no—
1093#126—224no—
1094#126—224no—
1095#126—224no—
1096#126—224no—
1097#124—24no—
1098#124—224no—
1099#124—224no—
1100#124—224no—
1101#123—24no—
1102#123—224no—
1103#123—224no—
1104#123—224no—
1105C22⋊Q8—224no—
1106C22⋊Q8—224no—
1107#121—224no—
1108#121—224no—
1109#121—224no—
1110#121—224no—
1111#121—224no—
1112#121—224no—
1113#121—224no—
1114#121—224no—
1115#121—224no—
1116#121—224no—
1117#121—442no—
1118#121—442no—
1119#121—442no—
1120#121—442no—
1121#120—224no—
1122#120—224no—
1123#120—224no—
1124#120—224no—
1125C4×D4—224no—
1126C4×D4—224no—
1127C4×D4—224no—
1128C4×D4—224no—
1129C4×D4—442no—
1130C4×D4—442no—
1131C2×C4⋊C4—111no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—111no—
1136C2×C4⋊C4—111no—
1137C2×C4⋊C4—111no—
1138C2×C4⋊C4—111no—
1139C2×C4⋊C4—111no—
1140C2×C4⋊C4—111no—
1141C2×C4⋊C4—111no—
1142C2×C4⋊C4—111no—
1143C2×C4⋊C4—111no—
1144C2×C4⋊C4—111no—
1145C2×C4⋊C4—111no—
1146C2×C4⋊C4—111no—
1147C2×C4⋊C4—111no—
1148C2×C4⋊C4—111no—
1149C2×C4⋊C4—111no—
1150C2×C4⋊C4—111no—
1151C2×C4⋊C4—111no—
1152C2×C4⋊C4C22×D1111yescharacteristic
1153C2×C4⋊C4C22×D1111yescharacteristic
1154C2×C4⋊C4C22×D1111yescharacteristic
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—118no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
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—224no—
1196C2×C22⋊C4C22×D1111yescharacteristic
1197C2×C22⋊C4C22×D1111yescharacteristic
1198C2×C22⋊C4C22×D1111yescharacteristic
1199C2×C22⋊C4C22×D1111yescharacteristic
1200C2×C22⋊C4C22×D1111yescharacteristic
1201C2×C22⋊C4C22×D1111yescharacteristic
1202C2×C22⋊C4C22×D1111yescharacteristic
1203C2×C22⋊C4C22×D1111yescharacteristic
1204C2×C22⋊C4C22×D1111yescharacteristic
1205C2×C22⋊C4C22×D1111yescharacteristic
1206C2×C22⋊C4C22×D1111yescharacteristic
1207C2×C22⋊C4C22×D1111yescharacteristic
1208C2×C22⋊C4C22×D1111yescharacteristic
1209C2×C42—111no—
1210C2×C42—111no—
1211C2×C42—111no—
1212C2×C42—111no—
1213C2×C42—111no—
1214C2×C42—111no—
1215C2×C42—111no—
1216C2×C42—111no—
1217C2×C42—111no—
1218C2×C42—442no—
1219C2×C42—442no—
1220C2×C42C22×D1111yescharacteristic
1221C2×C42C22×D1111yescharacteristic
1222C2×C42C22×D1111yescharacteristic
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239#95—111no—
1240#95—111no—
1241#95—111no—
1242#95—111no—
1243#95—111no—
1244#95—111no—
1245#95C22×D1111yescharacteristic
1246#95C22×D1111yescharacteristic
1247#95C22×D1111yescharacteristic
1248#95C22×D1111yescharacteristic
1249#95C22×D1111yescharacteristic
1250#95C22×D1111yescharacteristic
1251#95C22×D1111yescharacteristic
1252#95C22×D1111yescharacteristic
1253#95C22×D1111yescharacteristic
1254#95C22×D1111yescharacteristic
1255C2×C11—42no—
1256C2×C11—81no—
1257C2×C11—81no—
1258C2×C11C2×#53211yescharacteristic
1259C2×C11C2×#53811yescharacteristic
1260C2×C11#345511yescharacteristic
1261C2×C11#349611yescharacteristic
1262C2×C11#349611yescharacteristic
1263C2×C11#350511yescharacteristic
1264C2×C11#350611yescharacteristic
1265D11—24no—
1266D11—42no—
1267D11—81no—
1268D11—81no—
1269C24—111no—
1270C24—111no—
1271C24—114no—
1272C24—111no—
1273C24—111no—
1274C24—222no—
1275C24—222no—
1276C24—441no—
1277C24—441no—
1278C24—441no—
1279C24—441no—
1280C24C23×D1111yescharacteristic
1281C24C23×D1111yescharacteristic
1282C24C23×D1111yescharacteristic
1283C2×Q8—22no—
1284C2×Q8—41no—
1285C2×Q8—41no—
1286C2×Q8—222no—
1287C2×Q8—441no—
1288C2×Q8—441no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—222no—
1299C2×D4—222no—
1300C2×D4—222no—
1301C2×D4—222no—
1302C2×D4—222no—
1303C2×D4—222no—
1304C2×D4—222no—
1305C2×D4—222no—
1306C2×D4—222no—
1307C2×D4—222no—
1308C2×D4—222no—
1309C2×D4—222no—
1310C2×D4—222no—
1311C2×D4—222no—
1312C2×D4—222no—
1313C2×D4—222no—
1314C2×D4—222no—
1315C2×D4—222no—
1316C2×D4—222no—
1317C2×D4—222no—
1318C2×D4—222no—
1319C2×D4—222no—
1320C2×D4—222no—
1321C2×D4—222no—
1322C2×D4—222no—
1323C2×D4—222no—
1324C2×D4—222no—
1325C2×D4—441no—
1326C2×D4—441no—
1327C2×D4—441no—
1328C2×D4—441no—
1329C2×D4—441no—
1330C2×D4—441no—
1331C2×D4—441no—
1332C2×D4—441no—
1333C2×D4—441no—
1334C2×D4—441no—
1335C2×D4—441no—
1336C2×D4—441no—
1337C2×D4—441no—
1338C2×D4—441no—
1339C2×D4—441no—
1340C2×D4—441no—
1341C2×D4—441no—
1342C2×D4—441no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—111no—
1350C22×C4—111no—
1351C22×C4—111no—
1352C22×C4—111no—
1353C22×C4—114no—
1354C22×C4—114no—
1355C22×C4—114no—
1356C22×C4—114no—
1357C22×C4—111no—
1358C22×C4—111no—
1359C22×C4—111no—
1360C22×C4—111no—
1361C22×C4—111no—
1362C22×C4—111no—
1363C22×C4—111no—
1364C22×C4—111no—
1365C22×C4—222no—
1366C22×C4—222no—
1367C22×C4—222no—
1368C22×C4—222no—
1369C22×C4—222no—
1370C22×C4—222no—
1371C22×C4—222no—
1372C22×C4—222no—
1373C22×C4—222no—
1374C22×C4—222no—
1375C22×C4—222no—
1376C22×C4—222no—
1377C22×C4—222no—
1378C22×C4—222no—
1379C22×C4—441no—
1380C22×C4—441no—
1381C22×C4—441no—
1382C22×C4—441no—
1383C22×C4—441no—
1384C22×C4—441no—
1385C22×C4—441no—
1386C22×C4—441no—
1387C22×C4—441no—
1388C22×C4—441no—
1389C22×C4—441no—
1390C22×C4—441no—
1391C22×C4—441no—
1392C22×C4—441no—
1393C22×C4—441no—
1394C22×C4—441no—
1395C22×C4—4416no—
1396C22×C4—441no—
1397C22×C4—441no—
1398C22×C4C23×D1111yescharacteristic
1399C22×C4C23×D1111yescharacteristic
1400C22×C4C23×D1111yescharacteristic
1401C22×C4C23×D1111yescharacteristic
1402C22×C4C23×D1111yescharacteristic
1403C22×C4C23×D1111yescharacteristic
1404C22×C4C23×D1111yescharacteristic
1405C22×C4C23×D1111yescharacteristic
1406C22×C4C23×D1111yescharacteristic
1407C22×C4C23×D1111yescharacteristic
1408C22×C4C23×D1111yescharacteristic
1409C22×C4C23×D1111yescharacteristic
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—222no—
1414C4⋊C4—222no—
1415C4⋊C4—222no—
1416C4⋊C4—222no—
1417C4⋊C4—222no—
1418C4⋊C4—222no—
1419C4⋊C4—222no—
1420C4⋊C4—222no—
1421C4⋊C4—222no—
1422C4⋊C4—222no—
1423C4⋊C4—222no—
1424C4⋊C4—222no—
1425C4⋊C4—222no—
1426C4⋊C4—222no—
1427C4⋊C4—222no—
1428C4⋊C4—222no—
1429C4⋊C4—222no—
1430C4⋊C4—441no—
1431C4⋊C4—441no—
1432C4⋊C4—441no—
1433C4⋊C4—441no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—114no—
1447C22⋊C4—114no—
1448C22⋊C4—114no—
1449C22⋊C4—222no—
1450C22⋊C4—222no—
1451C22⋊C4—222no—
1452C22⋊C4—222no—
1453C22⋊C4—222no—
1454C22⋊C4—222no—
1455C22⋊C4—222no—
1456C22⋊C4—222no—
1457C22⋊C4—222no—
1458C22⋊C4—222no—
1459C22⋊C4—222no—
1460C22⋊C4—222no—
1461C22⋊C4—222no—
1462C22⋊C4—222no—
1463C22⋊C4—222no—
1464C22⋊C4—222no—
1465C22⋊C4—222no—
1466C22⋊C4—222no—
1467C22⋊C4—222no—
1468C22⋊C4—222no—
1469C22⋊C4—222no—
1470C22⋊C4—222no—
1471C22⋊C4—222no—
1472C22⋊C4—222no—
1473C22⋊C4—441no—
1474C22⋊C4—441no—
1475C22⋊C4—441no—
1476C22⋊C4—441no—
1477C22⋊C4—441no—
1478C22⋊C4—441no—
1479C22⋊C4—441no—
1480C22⋊C4—441no—
1481C22⋊C4—441no—
1482C22⋊C4—441no—
1483C22⋊C4—441no—
1484C22⋊C4—441no—
1485C22⋊C4D4×D1114yes—
1486C42—22no—
1487C42—41no—
1488C42—41no—
1489C42—222no—
1490C42—222no—
1491C42—222no—
1492C42—222no—
1493C42—222no—
1494C42—222no—
1495C42—222no—
1496C42—441no—
1497C42—441no—
1498C11#3500511yescharacteristic, complemented, Sylow
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—112no—
1520C23—112no—
1521C23—112no—
1522C23—112no—
1523C23—228no—
1524C23—221no—
1525C23—221no—
1526C23—221no—
1527C23—221no—
1528C23—221no—
1529C23—221no—
1530C23—221no—
1531C23—221no—
1532C23—221no—
1533C23—221no—
1534C23—221no—
1535C23—221no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23—221no—
1543C23—221no—
1544C23—221no—
1545C23—221no—
1546C23—221no—
1547C23—221no—
1548C23—444no—
1549C23—444no—
1550C23—444no—
1551C23—444no—
1552C23—444no—
1553C23—444no—
1554C23C2×D4×D1112yes—
1555C23C24×D1111yescharacteristic
1556Q8—82no—
1557Q8—882no—
1558D4—82no—
1559D4—82no—
1560D4—82no—
1561D4—444no—
1562D4—444no—
1563D4—444no—
1564D4—444no—
1565D4—444no—
1566D4—444no—
1567D4—882no—
1568D4—882no—
1569D4—882no—
1570D4—882no—
1571D4—882no—
1572D4—882no—
1573D4—882no—
1574D4—882no—
1575D4—882no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—44no—
1609C2×C4—82no—
1610C2×C4—112no—
1611C2×C4—112no—
1612C2×C4—112no—
1613C2×C4—112no—
1614C2×C4—112no—
1615C2×C4—112no—
1616C2×C4—228no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—444no—
1648C2×C4—444no—
1649C2×C4—444no—
1650C2×C4—444no—
1651C2×C4—444no—
1652C2×C4—444no—
1653C2×C4—444no—
1654C2×C4—444no—
1655C2×C4—882no—
1656C2×C4—882no—
1657C2×C4—882no—
1658C2×C4C2×D4×D1112yes—
1659C2×C4C2×D4×D1112yes—
1660C2×C4#41×D1112yes—
1661C2×C4#41×D1112yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—114no—
1684C22—222no—
1685C22—222no—
1686C22—222no—
1687C22—222no—
1688C22—222no—
1689C22—222no—
1690C22—222no—
1691C22—222no—
1692C22—222no—
1693C22—4416no—
1694C22—441no—
1695C22—441no—
1696C22—441no—
1697C22—441no—
1698C22—441no—
1699C22—441no—
1700C22—441no—
1701C22—441no—
1702C22—441no—
1703C22—441no—
1704C22—441no—
1705C22—441no—
1706C22—441no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22—441no—
1712C22C22×D4×D1111yescharacteristic
1713C22C2×#41×D1111yescharacteristic
1714C22C2×#41×D1111yescharacteristic
1715C22#1062345311yescharacteristic
1716C22#1062345311yescharacteristic
1717C22D11×H(5,𝔽2)11yescharacteristic
1718C22D11×H(5,𝔽2)11yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—22no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—114no—
1732C4—222no—
1733C4—222no—
1734C4—222no—
1735C4—441no—
1736C4—441no—
1737C4—441no—
1738C4—441no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C2—42no—
1744C2—81no—
1745C2—81no—
1746C2—224no—
1747C2—442no—
1748C2—881no—
1749C2—881no—
1750C2D11×#53211yescharacteristic
1751C2D11×#53811yescharacteristic
1752C2#1308199911yescharacteristic
1753C2#1308237611yescharacteristic
1754C2#1308237611yescharacteristic
1755C2#1308244711yescharacteristic
1756C2#1308246411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2557C2
hypercenter#2557D11
hypocenterC11#35005
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2557

Complements

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

NH ≅ G/Ntype
1. C2×#10623188C2semidirect
2. C2×#10623209C2semidirect
3. #13076965C2semidirect
4. #13076960C2semidirect
5. #13076897C2semidirect
6. #13076897C2semidirect
7. #13074545C2semidirect
8. #13074543C2semidirect
9. #13074351C2semidirect
10. #13074349C2semidirect
11. #13073747C2semidirect
12. #13073745C2semidirect
13. #13073744C2semidirect
14. #13073742C2semidirect
15. #13073722C2semidirect
16. #13073720C2semidirect
17. #13073709C2semidirect
18. #13073037C2semidirect
19. #13073031C2semidirect
20. #13072976C2semidirect
21. #13072974C2semidirect
22. #13072203C2semidirect
23. #13072197C2semidirect
24. #13072127C2semidirect
25. #13072125C2semidirect
26. #13071318C2semidirect
27. #13071315C2semidirect
28. #13071128C2semidirect
29. C4×#66937C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2557C2semidirect
37. C2×#66997C22semidirect
38. C2×#66993C22semidirect
48. C2×C4×C22⋊D11C22semidirect
70. C2×(C22⋊D11)⋊C4C22semidirect
80. C11×#397C22semidirect
81. C11×#393C22semidirect
83. C11×#391C22semidirect
84. C11×#390C22semidirect
85. C11×#388C22semidirect
86. C11×#387C22semidirect
89. C11×#386C22semidirect
91. C4×C11×C22⋊C4C22semidirect
92. #10622844C22semidirect
96. #10622833C22semidirect
99. #10622823C22semidirect
102. #10622606C22semidirect
103. #10622602C22semidirect
104. #10622594C22semidirect
105. #10622589C22semidirect
106. #10622589C22semidirect
107. #10622585C22semidirect
108. #10622574C22semidirect
109. #10622574C22semidirect
115. #10622572C22semidirect
116. #10622572C22semidirect
117. #10622570C22semidirect
118. #10622570C22semidirect
119. #10622570C22semidirect
120. #10622570C22semidirect
121. #10622570C22semidirect
122. #10622570C22semidirect
130. #10622566C22semidirect
131. #10622564C22semidirect
132. #10622560C22semidirect
133. #10622559C22semidirect
134. #10622558C22semidirect
135. #10622557C22semidirect
140. C22⋊C4×Dic11C22semidirect
141. #10622553C22semidirect
142. #10622553C22semidirect
143. #10622552C22semidirect
146. C4×(C2×D11)⋊C4C22semidirect
147. C4×Dic11⋊C4C22semidirect
148. #10622542C22semidirect
150. #10622287C22semidirect
151. #10622286C22semidirect
155. #10622282C22semidirect
156. #10622282C22semidirect
157. #10622281C22semidirect
166. #10622279C22semidirect
173. #10622278C22semidirect
174. #10622278C22semidirect
177. #10622273C22semidirect
178. #10622273C22semidirect
179. #10622271C22semidirect
180. #10622271C22semidirect
181. #10622267C22semidirect
182. #10622266C22semidirect
183. #10622262C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
352. C22⋊C4×D11D4semidirect
638. #2557D11semidirect
873. #397C2×D11semidirect
889. #393C2×D11semidirect
895. #391C2×D11semidirect
903. #390C2×D11semidirect
917. #388C2×D11semidirect
921. #387C2×D11semidirect
941. #386C2×D11semidirect
969. C4×C22⋊C4C2×D11semidirect
1052. Dic11#538semidirect
1498. C11#35005semidirect

Maximal subgroups

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

subgroupindex
C2×#106231882
C2×#106232092
#130769652
#130769602
#130768972
#130745452
#130745432
#130743512
#130743492
#130737472
#130737452
#130737442
#130737422
#130737222
#130737202
#130737092
#130730372
#130730312
#130729762
#130729742
#130722032
#130721972
#130721272
#130721252
#130713182
#130713152
#130711282
C4×#669372
C4×C22⋊C4×D112
C11×#25572
#3500511