Finite Group Databasebeta

← #14960594

Subgroups — #14960594

Order 2816.

2630 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623209C211yesmaximal, characteristic, complemented
2C2×D11×#123C211yesmaximal, characteristic, complemented
3#13076900C211yesmaximal, characteristic, complemented
4#13076897C211yesmaximal, characteristic, complemented
5#13075154C211yesmaximal, characteristic, complemented
6#13075152C211yesmaximal, characteristic, complemented
7#13075150C211yesmaximal, characteristic, complemented
8#13075148C211yesmaximal, characteristic, complemented
9#13075128C211yesmaximal, characteristic, complemented
10#13075127C211yesmaximal, characteristic, complemented
11#13075123C211yesmaximal, characteristic, complemented
12#13075121C211yesmaximal, characteristic, complemented
13#13074866C211yesmaximal, characteristic, complemented
14#13074863C211yesmaximal, characteristic, complemented
15#13074862C211yesmaximal, characteristic, complemented
16#13074858C211yesmaximal, characteristic, complemented
17#13074857C211yesmaximal, characteristic, complemented
18#13074846C211yesmaximal, characteristic, complemented
19#13074845C211yesmaximal, characteristic, complemented
20#13074428C211yesmaximal, characteristic, complemented
21#13074363C211yesmaximal, characteristic, complemented
22#13073510C211yesmaximal, characteristic, complemented
23#13073501C211yesmaximal, characteristic, complemented
24#13072931C211yesmaximal, characteristic, complemented
25#13072926C211yesmaximal, characteristic, complemented
26#13072009C211yesmaximal, characteristic, complemented
27#13072007C211yesmaximal, characteristic, complemented
28#13071987C211yesmaximal, characteristic, complemented
29#13071985C211yesmaximal, characteristic, complemented
30#13071227C211yesmaximal, characteristic, complemented
31C11×#2672C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#124C2211yescharacteristic, complemented
35C2×C11×#123C2211yescharacteristic
36C2×C11×C22⋊Q8C2211yescharacteristic, complemented
37C2×C11×#121C2211yescharacteristic
38C2×#67000C2211yescharacteristic, complemented
39C2×#66999C2211yescharacteristic
40C2×#66999C2211yescharacteristic, complemented
41C2×#66992C2211yescharacteristic
42C2×#66992C2211yescharacteristic, complemented
43C2×#66992C2211yescharacteristic, complemented
44C2×#66990C2211yescharacteristic
45C2×#66990C2211yescharacteristic
46C2×#66988C2211yescharacteristic
47C2×#66982C2211yescharacteristic
48C22×(C2×D11)⋊C4C2211yescharacteristic
49#10623209—28no—
50D11×#123—28no—
51C2×#66948C2211yescharacteristic
52C2×#66947C2211yescharacteristic
53C2×#66947C2211yescharacteristic
54C2×#66947C2211yescharacteristic
55C2×C4⋊C4×D11C2211yescharacteristic
56C2×C4⋊C4×D11C2211yescharacteristic
57C2×#66939C2211yescharacteristic
58C2×#66939C2211yescharacteristic, complemented
59C2×#66937C2211yescharacteristic
60C2×#66937C2211yescharacteristic
61C2×#66937C2211yescharacteristic, complemented
62C2×#66937C2211yescharacteristic, complemented
63C2×#66936C2211yescharacteristic
64C2×#66936C2211yescharacteristic
65C2×#66936C2211yescharacteristic
66C2×#66936C2211yescharacteristic, complemented
67C2×#66935C2211yescharacteristic
68C2×#66935C2211yescharacteristic
69C2×(C22⋊D11)⋊C4C2211yescharacteristic
70C2×C22⋊C4×D11C2211yescharacteristic
71C2×C22⋊C4×D11C2211yescharacteristic
72C2×C22⋊C4×D11C2211yescharacteristic
73C2×C22⋊C4×D11C2211yescharacteristic
74C2×#66932C2211yescharacteristic, complemented
75C2×#66929C2211yescharacteristic, complemented
76C2×C4×D44C2211yescharacteristic
77C11×#399C2211yescharacteristic, complemented
78C11×#396C2211yescharacteristic, complemented
79C11×#395C2211yescharacteristic, complemented
80C11×#394C2211yescharacteristic
81C11×#394C2211yescharacteristic, complemented
82C11×#394C2211yescharacteristic, complemented
83C11×#389C2211yescharacteristic, complemented
84C11×#388C2211yescharacteristic, complemented
85C11×#386C2211yescharacteristic, complemented
86C11×#385C2211yescharacteristic, complemented
87C11×#380C2211yescharacteristic, complemented
88#10622842C2211yescharacteristic, complemented
89#10622836C2211yescharacteristic
90#10622836C2211yescharacteristic
91#10622835C2211yescharacteristic, complemented
92#10622833C2211yescharacteristic
93#10622833C2211yescharacteristic, complemented
94#10622826C2211yescharacteristic
95#10622826C2211yescharacteristic, complemented
96#10622826C2211yescharacteristic, complemented
97#10622825C2211yescharacteristic, complemented
98#10622823C2211yescharacteristic, complemented
99#10622607C2211yescharacteristic, complemented
100#10622607C2211yescharacteristic, complemented
101#10622607C2211yescharacteristic, complemented
102#10622607C2211yescharacteristic, complemented
103#10622606C2211yescharacteristic, complemented
104#10622605C2211yescharacteristic, complemented
105#10622605C2211yescharacteristic, complemented
106#10622604C2211yescharacteristic
107#10622604C2211yescharacteristic, complemented
108#10622602C2211yescharacteristic
109#10622602C2211yescharacteristic
110#10622602C2211yescharacteristic
111#10622602C2211yescharacteristic
112#10622602C2211yescharacteristic, complemented
113#10622602C2211yescharacteristic, complemented
114#10622602C2211yescharacteristic, complemented
115#10622602C2211yescharacteristic, complemented
116#10622600C2211yescharacteristic
117#10622600C2211yescharacteristic
118#10622600C2211yescharacteristic, complemented
119#10622600C2211yescharacteristic, complemented
120#10622600C2211yescharacteristic, complemented
121#10622600C2211yescharacteristic, complemented
122#10622599C2211yescharacteristic, complemented
123#10622597C2211yescharacteristic, complemented
124#10622595C2211yescharacteristic, complemented
125#10622593C2211yescharacteristic, complemented
126#10622593C2211yescharacteristic, complemented
127#10622585C2211yescharacteristic, complemented
128#10622585C2211yescharacteristic, complemented
129#10622574C2211yescharacteristic, complemented
130#10622574C2211yescharacteristic, complemented
131#10622573C2211yescharacteristic
132#10622573C2211yescharacteristic
133#10622572C2211yescharacteristic
134#10622572C2211yescharacteristic
135#10622572C2211yescharacteristic, complemented
136#10622572C2211yescharacteristic, complemented
137#10622571C2211yescharacteristic, complemented
138#10622571C2211yescharacteristic, complemented
139#10622569C2211yescharacteristic
140#10622569C2211yescharacteristic
141#10622569C2211yescharacteristic
142#10622569C2211yescharacteristic, complemented
143#10622569C2211yescharacteristic, complemented
144#10622569C2211yescharacteristic, complemented
145#10622569C2211yescharacteristic, complemented
146#10622568C2211yescharacteristic
147#10622568C2211yescharacteristic
148#10622566C2211yescharacteristic, complemented
149#10622565C2211yescharacteristic, complemented
150#10622564C2211yescharacteristic, complemented
151#10622563C2211yescharacteristic, complemented
152#10622562C2211yescharacteristic, complemented
153#10622561C2211yescharacteristic, complemented
154#10622561C2211yescharacteristic, complemented
155#10622561C2211yescharacteristic, complemented
156#10622559C2211yescharacteristic, complemented
157#10622559C2211yescharacteristic, complemented
158#10622559C2211yescharacteristic, complemented
159#10622555C2211yescharacteristic, complemented
160#10622555C2211yescharacteristic, complemented
161#10622555C2211yescharacteristic, complemented
162#10622555C2211yescharacteristic, complemented
163#10622553C2211yescharacteristic, complemented
164#10622541C2211yescharacteristic, complemented
165#10622288C2211yescharacteristic, complemented
166#10622285C2211yescharacteristic, complemented
167#10622285C2211yescharacteristic, complemented
168#10622282C2211yescharacteristic, complemented
169#10622281C2211yescharacteristic, complemented
170#10622281C2211yescharacteristic, complemented
171#10622280C2211yescharacteristic
172#10622280C2211yescharacteristic
173#10622280C2211yescharacteristic, complemented
174#10622280C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic, complemented
179#10622278C2211yescharacteristic, complemented
180#10622277C2211yescharacteristic
181#10622277C2211yescharacteristic
182#10622273C2211yescharacteristic, complemented
183#10622273C2211yescharacteristic, complemented
184#10622272C2211yescharacteristic, complemented
185#10622272C2211yescharacteristic, complemented
186#10622270C2211yescharacteristic, complemented
187#10622270C2211yescharacteristic, complemented
188#10622270C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C2×D4×D11—24no—
209C2×D4×D11—42no—
210C2×D4×D11—42no—
211C22×D44C2311yescharacteristic
212C22×D44C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C22×C4×D11—24no—
216C22×C4×D11—42no—
217C22×C4×D11—42no—
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×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C11×#124—24no—
229C11×#123—24no—
230C11×C22⋊Q8—42no—
231C11×#121—42no—
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×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
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
266#67000—24no—
267#66999—24no—
268#66999—42no—
269#66992—24no—
270#66992—42no—
271#66992—42no—
272#66990—24no—
273#66990—42no—
274#66988—24no—
275#66982—24no—
276C2×(C2×D11)⋊C4—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
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×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×C4×Dic11C2311yescharacteristic
333#66948—42no—
334#66947—24no—
335#66947—24no—
336#66947—42no—
337C4⋊C4×D11—24no—
338C4⋊C4×D11—24no—
339#66939—24no—
340#66939—24no—
341#66937—24no—
342#66937—24no—
343#66937—42no—
344#66937—42no—
345#66936—24no—
346#66936—24no—
347#66936—24no—
348#66936—42no—
349#66935—24no—
350#66935—42no—
351(C22⋊D11)⋊C4—24no—
352C22⋊C4×D11—24no—
353C22⋊C4×D11—24no—
354C22⋊C4×D11—42no—
355C22⋊C4×D11D418yescomplemented
356#66932—24no—
357#66929—24no—
358C4×D44—24no—
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11×#95C2311yescharacteristic
364C11×#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#36709—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—22no—
401C23×D11—22no—
402C23×D11—41no—
403C23×D11—41no—
404C23×D11—41no—
405C23×D11—41no—
406C23×D11—41no—
407C23×D11—41no—
408C23×D11C2×D414yes—
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C23×D11C2411yescharacteristic
413C2×Q8×C11—22no—
414C2×Q8×C11—41no—
415C2×Q8×C11—41no—
416C2×D4×C11—22no—
417C2×D4×C11—22no—
418C2×D4×C11—22no—
419C2×D4×C11—22no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C2×D4×C11—41no—
423C2×D4×C11—41no—
424C2×D4×C11—41no—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—41no—
428C22×C4×C11—41no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—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—
466C2×C22⋊D11—41no—
467C22×Dic11—22no—
468C22×Dic11—22no—
469C22×Dic11—22no—
470C22×Dic11—41no—
471C22×Dic11—41no—
472C22×Dic11—41no—
473C22×Dic11—41no—
474C22×Dic11—41no—
475C22×Dic11—41no—
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488D4×D11—416no—
489C2×D44—22no—
490C2×D44—22no—
491C2×D44—22no—
492C2×D44—22no—
493C2×D44—22no—
494C2×D44—22no—
495C2×D44—22no—
496C2×D44—41no—
497C2×D44—41no—
498C2×D44—41no—
499C2×D44—41no—
500C2×D44—41no—
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—22no—
510C2×C4×D11—22no—
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—41no—
526C2×C4×D11—41no—
527C2×C4×D11—41no—
528C2×C4×D11—41no—
529C2×C4×D11—416no—
530C2×C4×D11C2×D414yes—
531C2×C4×D11C2×D414yes—
532C11×C4⋊C4—22no—
533C11×C4⋊C4—22no—
534C11×C4⋊C4—41no—
535C11×C4⋊C4—41no—
536C11×C4⋊C4—41no—
537C11×C4⋊C4—41no—
538C11×C4⋊C4—41no—
539C11×C4⋊C4—41no—
540C11×C4⋊C4—41no—
541C11×C22⋊C4—22no—
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—41no—
549C11×C22⋊C4—41no—
550C11×C22⋊C4—41no—
551C11×C22⋊C4—41no—
552C11×C22⋊C4—41no—
553C11×C22⋊C4C2×D414yes—
554C42×C11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—41no—
559C22⋊Dic11—41no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562C22⋊Dic11—41no—
563C22⋊Dic11—41no—
564C22⋊Dic11—41no—
565C22⋊Dic11C2×D414yes—
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—22no—
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)⋊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)⋊C4C2×D414yes—
595(C2×D11)⋊C4C2×D414yes—
596C4⋊Dic11—22no—
597C4⋊Dic11—22no—
598C4⋊Dic11—22no—
599C4⋊Dic11—22no—
600C4⋊Dic11—41no—
601C4⋊Dic11—41no—
602C4⋊Dic11—41no—
603Dic11⋊C4—22no—
604Dic11⋊C4—22no—
605Dic11⋊C4—22no—
606Dic11⋊C4—22no—
607Dic11⋊C4—22no—
608Dic11⋊C4—22no—
609Dic11⋊C4—22no—
610Dic11⋊C4—22no—
611Dic11⋊C4—41no—
612Dic11⋊C4—41no—
613Dic11⋊C4—41no—
614Dic11⋊C4—41no—
615Dic11⋊C4—41no—
616Dic11⋊C4—41no—
617Dic11⋊C4—41no—
618Dic11⋊C4—41no—
619Dic11⋊C4—41no—
620Dic11⋊C4—41no—
621C4×Dic11—22no—
622C2×#538—111no—
623C22×#123—111no—
624#2848—111no—
625#2847—111no—
626#2695—111no—
627#2695—111no—
628#2695—111no—
629#2695—111no—
630#2693—111no—
631#2693—111no—
632#2693—111no—
633#2693—111no—
634#2672—111no—
635#2672—111no—
636#2672—111no—
637#2672D1111yescharacteristic, complemented
638#2671—111no—
639#2671—111no—
640#2671—111no—
641#2671—111no—
642#2627—111no—
643#2618—111no—
644#2534—111no—
645#2534—111no—
646#2487—111no—
647#2487—111no—
648#2412—111no—
649#2412—111no—
650#2410—111no—
651#2410—111no—
652#2315—111no—
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×C11H(5,𝔽2)12yes—
674C23×C11C2511yescharacteristic
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—28no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—28no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—44no—
701C22×D11—44no—
702C22×D11—44no—
703C22×D11—44no—
704C22×D11—44no—
705C22×D11—44no—
706C22×D11—44no—
707C22×D11—44no—
708C22×D11—82no—
709C22×D11—82no—
710C22×D11—82no—
711C22×D11—82no—
712C22×D11C22×D412yes—
713C22×D11C22×D412yes—
714C22×D11H(5,𝔽2)12yes—
715C22×D11H(5,𝔽2)12yes—
716C22×D112−1+412yes—
717Q8×C11—82no—
718D4×C11—44no—
719D4×C11—82no—
720D4×C11—82no—
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—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—44no—
756C2×C4×C11—82no—
757C2×C4×C11C22×D412yes—
758C2×C4×C11C22×D412yes—
759C22⋊D11—44no—
760C22⋊D11—44no—
761C22⋊D11—44no—
762C22⋊D11—82no—
763C22⋊D11—82no—
764C22⋊D11—82no—
765C22⋊D11—82no—
766C22⋊D11—82no—
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—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—44no—
802C2×Dic11—82no—
803C2×Dic11—82no—
804C2×Dic11C22×D412yes—
805C2×Dic11C22×D412yes—
806D44—44no—
807D44—44no—
808D44—82no—
809D44—82no—
810C4×D11—44no—
811C4×D11—44no—
812C4×D11—44no—
813C4×D11—44no—
814C4×D11—44no—
815C4×D11—44no—
816C4×D11—44no—
817C4×D11—82no—
818C4×D11—82no—
819C4×D11—82no—
820C23×D4—111no—
821C24×C4—111no—
822#538—228no—
823C2×#126—111no—
824C2×#126—111no—
825C2×#124—111no—
826C2×#124C2×D1111yescharacteristic, complemented
827C2×#123—111no—
828C2×#123—111no—
829C2×#123—111no—
830C2×#123—111no—
831C2×#123—111no—
832C2×#123—111no—
833C2×#123—111no—
834C2×#123—111no—
835C2×#123—111no—
836C2×#123—111no—
837C2×#123—111no—
838C2×#123—228no—
839C2×#123C2×D1111yescharacteristic
840C2×C22⋊Q8—111no—
841C2×C22⋊Q8—111no—
842C2×C22⋊Q8C2×D1111yescharacteristic, complemented
843C2×#121—111no—
844C2×#121—111no—
845C2×#121—111no—
846C2×#121—111no—
847C2×#121—111no—
848C2×#121—111no—
849C2×#121—111no—
850C2×#121—111no—
851C2×#121C2×D1111yescharacteristic
852C2×#120—111no—
853C2×#120—111no—
854C2×#120—111no—
855C2×#120—111no—
856C2×C4×D4—111no—
857C2×C4×D4—111no—
858C22×C4⋊C4—111no—
859C22×C4⋊C4—111no—
860C22×C22⋊C4—111no—
861C22×C22⋊C4—111no—
862C22×C22⋊C4—111no—
863C22×C22⋊C4—111no—
864C22×C22⋊C4—111no—
865#400—111no—
866#400—111no—
867#400—111no—
868#400—111no—
869#400—111no—
870#400—111no—
871#399—111no—
872#399—111no—
873#399—111no—
874#399C2×D1111yescharacteristic, complemented
875#398—111no—
876#398—111no—
877#398—111no—
878#398—111no—
879#398—111no—
880#398—111no—
881#397—111no—
882#397—111no—
883#397—111no—
884#397—111no—
885#396—111no—
886#396—111no—
887#396—111no—
888#396—111no—
889#396—111no—
890#396—111no—
891#396—111no—
892#396C2×D1111yescharacteristic, complemented
893#395—111no—
894#395C2×D1111yescharacteristic, complemented
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#394C2×D1111yescharacteristic
907#394C2×D1111yescharacteristic, complemented
908#394C2×D1111yescharacteristic, complemented
909#392—111no—
910#392—111no—
911#392—111no—
912#392—111no—
913#389—111no—
914#389—111no—
915#389—111no—
916#389C2×D1111yescharacteristic, complemented
917#388—111no—
918#388—111no—
919#388—111no—
920#388C2×D1111yescharacteristic, complemented
921#386—111no—
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#386—111no—
940#386C2×D1111yescharacteristic, complemented
941#385—111no—
942#385—111no—
943#385—111no—
944#385—111no—
945#385—111no—
946#385—111no—
947#385—111no—
948#385—111no—
949#385—111no—
950#385—111no—
951#385—111no—
952#385—111no—
953#385—111no—
954#385—111no—
955#385—111no—
956#385C2×D1111yescharacteristic, complemented
957#381—111no—
958#381—111no—
959#380—111no—
960#380—111no—
961#380—111no—
962#380—111no—
963#380—111no—
964#380—111no—
965#380—111no—
966#380—111no—
967#380—111no—
968#380—111no—
969#380—111no—
970#380—111no—
971#380—111no—
972#380—111no—
973#380—111no—
974#380C2×D1111yescharacteristic, complemented
975#379—111no—
976#379—111no—
977C22×C11—22no—
978C22×C11—22no—
979C22×C11—22no—
980C22×C11—22no—
981C22×C11—22no—
982C22×C11—22no—
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×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11C23×D411yescharacteristic
999C22×C11C2×H(5,𝔽2)11yescharacteristic
1000C22×C11C2×H(5,𝔽2)11yescharacteristic
1001C22×C11C2×H(5,𝔽2)11yescharacteristic
1002C22×C11C2×2−1+411yescharacteristic
1003C22×C11#58511yescharacteristic
1004C22×C11#58511yescharacteristic
1005C2×D11—22no—
1006C2×D11—22no—
1007C2×D11—22no—
1008C2×D11—22no—
1009C2×D11—22no—
1010C2×D11—22no—
1011C2×D11—22no—
1012C2×D11—22no—
1013C2×D11—22no—
1014C2×D11—22no—
1015C2×D11—22no—
1016C2×D11—22no—
1017C2×D11—416no—
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—41no—
1029C2×D11—41no—
1030C2×D11—41no—
1031C2×D11—41no—
1032C2×D11—41no—
1033C2×D11—88no—
1034C2×D11#53714yes—
1035C4×C11—22no—
1036C4×C11—22no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040C4×C11—41no—
1041C4×C11—41no—
1042C4×C11—41no—
1043C4×C11—41no—
1044C4×C11—41no—
1045C4×C11—41no—
1046C4×C11—41no—
1047Dic11—22no—
1048Dic11—22no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053Dic11—41no—
1054Dic11—41no—
1055Dic11—41no—
1056Dic11—41no—
1057Dic11—41no—
1058Dic11—41no—
1059C25—111no—
1060C25—111no—
1061C22×Q8C22×D1111yescharacteristic
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×D4—111no—
1072C22×D4—111no—
1073C22×D4—111no—
1074C22×D4—224no—
1075C22×D4—442no—
1076C22×D4—442no—
1077C22×D4C22×D1111yescharacteristic
1078C22×D4C22×D1111yescharacteristic
1079C22×D4C22×D1111yescharacteristic
1080C23×C4—111no—
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—111no—
1085C23×C4—111no—
1086C23×C4—111no—
1087C23×C4—111no—
1088C23×C4—111no—
1089C23×C4—111no—
1090C23×C4—111no—
1091C23×C4—111no—
1092C23×C4—111no—
1093C23×C4—224no—
1094C23×C4—442no—
1095C23×C4—442no—
1096C23×C4C22×D1111yescharacteristic
1097C23×C4C22×D1111yescharacteristic
1098#126—224no—
1099#126—224no—
1100#124—24no—
1101#124—224no—
1102#123—24no—
1103#123—224no—
1104#123—224no—
1105#123—224no—
1106#123—224no—
1107#123—224no—
1108#123—224no—
1109#123—224no—
1110#123—224no—
1111#123—224no—
1112#123—442no—
1113#123—442no—
1114C22⋊Q8—42no—
1115C22⋊Q8—224no—
1116C22⋊Q8—442no—
1117#121—42no—
1118#121—224no—
1119#121—224no—
1120#121—224no—
1121#121—442no—
1122#121—442no—
1123#121—442no—
1124#121—442no—
1125#121—442no—
1126#120—224no—
1127#120—224no—
1128#120—442no—
1129#120—442no—
1130C4×D4—224no—
1131C4×D4—224no—
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⋊C4—111no—
1153C2×C4⋊C4—111no—
1154C2×C4⋊C4—111no—
1155C2×C4⋊C4—111no—
1156C2×C4⋊C4—111no—
1157C2×C4⋊C4—224no—
1158C2×C4⋊C4—224no—
1159C2×C4⋊C4C22×D1111yescharacteristic
1160C2×C4⋊C4C22×D1111yescharacteristic
1161C2×C4⋊C4C22×D1111yescharacteristic
1162C2×C4⋊C4C22×D1111yescharacteristic
1163C2×C4⋊C4C22×D1111yescharacteristic
1164C2×C4⋊C4C22×D1111yescharacteristic
1165C2×C4⋊C4C22×D1111yescharacteristic
1166C2×C4⋊C4C22×D1111yescharacteristic
1167C2×C4⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—118no—
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—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—224no—
1211C2×C22⋊C4—224no—
1212C2×C22⋊C4—442no—
1213C2×C22⋊C4—442no—
1214C2×C22⋊C4C22×D1111yescharacteristic
1215C2×C22⋊C4C22×D1111yescharacteristic
1216C2×C22⋊C4C22×D1111yescharacteristic
1217C2×C22⋊C4C22×D1111yescharacteristic
1218C2×C22⋊C4C22×D1111yescharacteristic
1219C2×C22⋊C4C22×D1111yescharacteristic
1220C2×C22⋊C4C22×D1111yescharacteristic
1221C2×C22⋊C4C22×D1111yescharacteristic
1222C2×C22⋊C4C22×D1111yescharacteristic
1223C2×C22⋊C4C22×D1111yescharacteristic
1224C2×C22⋊C4C22×D1111yescharacteristic
1225C2×C22⋊C4C22×D1111yescharacteristic
1226C2×C22⋊C4C22×D1111yescharacteristic
1227C2×C42—111no—
1228C2×C42C22×D1111yescharacteristic
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#95—111no—
1246#95—111no—
1247#95—111no—
1248#95—111no—
1249#95—111no—
1250#95—111no—
1251#95—111no—
1252#95—111no—
1253#95—111no—
1254#95—111no—
1255#95C22×D1111yescharacteristic
1256#95C22×D1111yescharacteristic
1257#95C22×D1111yescharacteristic
1258#95C22×D1111yescharacteristic
1259#95C22×D1111yescharacteristic
1260#95C22×D1111yescharacteristic
1261C2×C11—42no—
1262C2×C11—42no—
1263C2×C11—81no—
1264C2×C11C2×#53711yescharacteristic
1265C2×C11#348411yescharacteristic
1266C2×C11#348511yescharacteristic
1267C2×C11#353411yescharacteristic
1268C2×C11#353411yescharacteristic
1269C2×C11#353511yescharacteristic
1270C2×C11#353511yescharacteristic
1271D11—24no—
1272D11—42no—
1273D11—42no—
1274D11—81no—
1275C24—111no—
1276C24—111no—
1277C24—111no—
1278C24—114no—
1279C24—111no—
1280C24—222no—
1281C24—222no—
1282C24—222no—
1283C24—222no—
1284C24—222no—
1285C24—222no—
1286C24—222no—
1287C24—441no—
1288C24—441no—
1289C24—441no—
1290C24—441no—
1291C24—441no—
1292C24—441no—
1293C24C23×D1111yescharacteristic
1294C24C23×D1111yescharacteristic
1295C24C23×D1111yescharacteristic
1296C2×Q8—22no—
1297C2×Q8—41no—
1298C2×Q8—41no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
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—222no—
1326C2×D4—222no—
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—
1343C2×D4—441no—
1344C2×D4—4416no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—111no—
1352C22×C4—111no—
1353C22×C4—114no—
1354C22×C4—114no—
1355C22×C4—111no—
1356C22×C4—111no—
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—441no—
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—441no—
1396C22×C4—4416no—
1397C22×C4—441no—
1398C22×C4—441no—
1399C22×C4—441no—
1400C22×C4—441no—
1401C22×C4—441no—
1402C22×C4—441no—
1403C22×C4C23×D1111yescharacteristic
1404C22×C4C23×D1111yescharacteristic
1405C22×C4C23×D1111yescharacteristic
1406C22×C4C23×D1111yescharacteristic
1407C22×C4C23×D1111yescharacteristic
1408C22×C4C23×D1111yescharacteristic
1409C22×C4C23×D1111yescharacteristic
1410C22×C4C23×D1111yescharacteristic
1411C22×C4C23×D1111yescharacteristic
1412C22×C4C23×D1111yescharacteristic
1413C22×C4C23×D1111yescharacteristic
1414C22×C4C23×D1111yescharacteristic
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—222no—
1425C4⋊C4—222no—
1426C4⋊C4—222no—
1427C4⋊C4—222no—
1428C4⋊C4—222no—
1429C4⋊C4—222no—
1430C4⋊C4—222no—
1431C4⋊C4—222no—
1432C4⋊C4—222no—
1433C4⋊C4—222no—
1434C4⋊C4—222no—
1435C4⋊C4—222no—
1436C4⋊C4—441no—
1437C4⋊C4—441no—
1438C4⋊C4—441no—
1439C4⋊C4—441no—
1440C4⋊C4—441no—
1441C4⋊C4—441no—
1442C4⋊C4—441no—
1443C4⋊C4—441no—
1444C4⋊C4—441no—
1445C4⋊C4—441no—
1446C4⋊C4—441no—
1447C4⋊C4—441no—
1448C4⋊C4—441no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—114no—
1462C22⋊C4—114no—
1463C22⋊C4—114no—
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—222no—
1474C22⋊C4—222no—
1475C22⋊C4—222no—
1476C22⋊C4—222no—
1477C22⋊C4—222no—
1478C22⋊C4—222no—
1479C22⋊C4—222no—
1480C22⋊C4—222no—
1481C22⋊C4—222no—
1482C22⋊C4—222no—
1483C22⋊C4—441no—
1484C22⋊C4—441no—
1485C22⋊C4—441no—
1486C22⋊C4—441no—
1487C22⋊C4—441no—
1488C22⋊C4—441no—
1489C22⋊C4—441no—
1490C22⋊C4—441no—
1491C22⋊C4—441no—
1492C22⋊C4—441no—
1493C22⋊C4—441no—
1494C22⋊C4—441no—
1495C22⋊C4—441no—
1496C22⋊C4—441no—
1497C22⋊C4—441no—
1498C22⋊C4—441no—
1499C22⋊C4—441no—
1500C22⋊C4—441no—
1501C22⋊C4—441no—
1502C22⋊C4D4×D1114yes—
1503C42—22no—
1504C42—222no—
1505C11#3670911yescharacteristic, complemented, Sylow
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—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—112no—
1526C23—112no—
1527C23—112no—
1528C23—112no—
1529C23—112no—
1530C23—228no—
1531C23—228no—
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—221no—
1549C23—221no—
1550C23—221no—
1551C23—221no—
1552C23—221no—
1553C23—221no—
1554C23—221no—
1555C23—444no—
1556C23—444no—
1557C23—444no—
1558C23—444no—
1559C23—444no—
1560C23—444no—
1561C23—444no—
1562C23—444no—
1563C23—882no—
1564C23—882no—
1565C23—882no—
1566C23—882no—
1567C23C2×D4×D1112yes—
1568C23#6703712yes—
1569C23C24×D1111yescharacteristic
1570Q8—82no—
1571D4—44no—
1572D4—82no—
1573D4—82no—
1574D4—444no—
1575D4—444no—
1576D4—444no—
1577D4—444no—
1578D4—444no—
1579D4—882no—
1580D4—882no—
1581D4—882no—
1582D4—882no—
1583D4—882no—
1584D4—882no—
1585D4—882no—
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—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—44no—
1621C2×C4—82no—
1622C2×C4—112no—
1623C2×C4—112no—
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—221no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—221no—
1651C2×C4—221no—
1652C2×C4—221no—
1653C2×C4—221no—
1654C2×C4—221no—
1655C2×C4—221no—
1656C2×C4—221no—
1657C2×C4—221no—
1658C2×C4—444no—
1659C2×C4—444no—
1660C2×C4—444no—
1661C2×C4—444no—
1662C2×C4—444no—
1663C2×C4—444no—
1664C2×C4—444no—
1665C2×C4—444no—
1666C2×C4—882no—
1667C2×C4—882no—
1668C2×C4—882no—
1669C2×C4—882no—
1670C2×C4—882no—
1671C2×C4C2×D4×D1112yes—
1672C2×C4C2×D4×D1112yes—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—114no—
1695C22—222no—
1696C22—222no—
1697C22—222no—
1698C22—222no—
1699C22—222no—
1700C22—222no—
1701C22—222no—
1702C22—222no—
1703C22—222no—
1704C22—222no—
1705C22—222no—
1706C22—222no—
1707C22—4416no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—441no—
1716C22—441no—
1717C22—441no—
1718C22—441no—
1719C22—441no—
1720C22—441no—
1721C22—441no—
1722C22—441no—
1723C22—888no—
1724C22C22×D4×D1111yescharacteristic
1725C22C2×#6703711yescharacteristic
1726C22#1062345311yescharacteristic
1727C22D11×H(5,𝔽2)11yescharacteristic
1728C22D11×H(5,𝔽2)11yescharacteristic
1729C22D11×2−1+411yescharacteristic
1730C22#1062345711yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—222no—
1744C4—222no—
1745C4—441no—
1746C4—441no—
1747C4—441no—
1748C4—441no—
1749C4—441no—
1750C4—441no—
1751C4—441no—
1752C4—441no—
1753C4—441no—
1754C4—441no—
1755C2—42no—
1756C2—42no—
1757C2—81no—
1758C2—224no—
1759C2—442no—
1760C2—442no—
1761C2—881no—
1762C2D11×#53711yescharacteristic
1763C2#1308224411yescharacteristic
1764C2#1308225511yescharacteristic
1765C2#1308279811yescharacteristic
1766C2#1308280811yescharacteristic
1767C2#1308281511yescharacteristic
1768C2#1308281811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2672C2
hypercenter#2672D11
hypocenterC11#36709
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
1. C2×#10623209C2semidirect
2. C2×D11×#123C2semidirect
3. #13076900C2semidirect
4. #13076897C2semidirect
5. #13075154C2semidirect
6. #13075152C2semidirect
7. #13075150C2semidirect
8. #13075148C2semidirect
9. #13075128C2semidirect
10. #13075127C2semidirect
11. #13075123C2semidirect
12. #13075121C2semidirect
13. #13074866C2semidirect
14. #13074863C2semidirect
15. #13074862C2semidirect
16. #13074858C2semidirect
17. #13074857C2semidirect
18. #13074846C2semidirect
19. #13074845C2semidirect
20. #13074428C2semidirect
21. #13074363C2semidirect
22. #13073510C2semidirect
23. #13073501C2semidirect
24. #13072931C2semidirect
25. #13072926C2semidirect
26. #13072009C2semidirect
27. #13072007C2semidirect
28. #13071987C2semidirect
29. #13071985C2semidirect
30. #13071227C2semidirect
31. C11×#2672C2semidirect
34. C2×C11×#124C22semidirect
36. C2×C11×C22⋊Q8C22semidirect
38. C2×#67000C22semidirect
40. C2×#66999C22semidirect
42. C2×#66992C22semidirect
43. C2×#66992C22semidirect
58. C2×#66939C22semidirect
61. C2×#66937C22semidirect
62. C2×#66937C22semidirect
66. C2×#66936C22semidirect
74. C2×#66932C22semidirect
75. C2×#66929C22semidirect
77. C11×#399C22semidirect
78. C11×#396C22semidirect
79. C11×#395C22semidirect
81. C11×#394C22semidirect
82. C11×#394C22semidirect
83. C11×#389C22semidirect
84. C11×#388C22semidirect
85. C11×#386C22semidirect
86. C11×#385C22semidirect
87. C11×#380C22semidirect
88. #10622842C22semidirect
91. #10622835C22semidirect
93. #10622833C22semidirect
95. #10622826C22semidirect
96. #10622826C22semidirect
97. #10622825C22semidirect
98. #10622823C22semidirect
99. #10622607C22semidirect
100. #10622607C22semidirect
101. #10622607C22semidirect
102. #10622607C22semidirect
103. #10622606C22semidirect
104. #10622605C22semidirect
105. #10622605C22semidirect
107. #10622604C22semidirect
112. #10622602C22semidirect
113. #10622602C22semidirect
114. #10622602C22semidirect
115. #10622602C22semidirect
118. #10622600C22semidirect
119. #10622600C22semidirect
120. #10622600C22semidirect
121. #10622600C22semidirect
122. #10622599C22semidirect
123. #10622597C22semidirect
124. #10622595C22semidirect
125. #10622593C22semidirect
126. #10622593C22semidirect
127. #10622585C22semidirect
128. #10622585C22semidirect
129. #10622574C22semidirect
130. #10622574C22semidirect
135. #10622572C22semidirect
136. #10622572C22semidirect
137. #10622571C22semidirect
138. #10622571C22semidirect
142. #10622569C22semidirect
143. #10622569C22semidirect
144. #10622569C22semidirect
145. #10622569C22semidirect
148. #10622566C22semidirect
149. #10622565C22semidirect
150. #10622564C22semidirect
151. #10622563C22semidirect
152. #10622562C22semidirect
153. #10622561C22semidirect
154. #10622561C22semidirect
155. #10622561C22semidirect
156. #10622559C22semidirect
157. #10622559C22semidirect
158. #10622559C22semidirect
159. #10622555C22semidirect
160. #10622555C22semidirect
161. #10622555C22semidirect
162. #10622555C22semidirect
163. #10622553C22semidirect
164. #10622541C22semidirect
165. #10622288C22semidirect
166. #10622285C22semidirect
167. #10622285C22semidirect
168. #10622282C22semidirect
169. #10622281C22semidirect
170. #10622281C22semidirect
173. #10622280C22semidirect
174. #10622280C22semidirect
178. #10622278C22semidirect
179. #10622278C22semidirect
182. #10622273C22semidirect
183. #10622273C22semidirect
184. #10622272C22semidirect
185. #10622272C22semidirect
186. #10622270C22semidirect
187. #10622270C22semidirect
188. #10622270C22semidirect
355. C22⋊C4×D11D4semidirect
637. #2672D11semidirect
826. C2×#124C2×D11semidirect
842. C2×C22⋊Q8C2×D11semidirect
874. #399C2×D11semidirect
892. #396C2×D11semidirect
894. #395C2×D11semidirect
907. #394C2×D11semidirect
908. #394C2×D11semidirect
916. #389C2×D11semidirect
920. #388C2×D11semidirect
940. #386C2×D11semidirect
956. #385C2×D11semidirect
974. #380C2×D11semidirect
1505. C11#36709semidirect

Maximal subgroups

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

subgroupindex
C2×#106232092
C2×D11×#1232
#130769002
#130768972
#130751542
#130751522
#130751502
#130751482
#130751282
#130751272
#130751232
#130751212
#130748662
#130748632
#130748622
#130748582
#130748572
#130748462
#130748452
#130744282
#130743632
#130735102
#130735012
#130729312
#130729262
#130720092
#130720072
#130719872
#130719852
#130712272
C11×#26722
#3670911