Finite Group Databasebeta

← #14926553

Subgroups — #14926553

Order 2816.

2378 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076907C211yesmaximal, characteristic, complemented
2#13076907C211yesmaximal, characteristic, complemented
3#13076902C211yesmaximal, characteristic, complemented
4#13076895C211yesmaximal, characteristic
5#13074587C211yesmaximal, characteristic, complemented
6#13074568C211yesmaximal, characteristic, complemented
7#13074568C211yesmaximal, characteristic, complemented
8#13074547C211yesmaximal, characteristic, complemented
9#13073178C211yesmaximal, characteristic, complemented
10#13073174C211yesmaximal, characteristic, complemented
11#13073121C211yesmaximal, characteristic, complemented
12#13073117C211yesmaximal, characteristic, complemented
13#13073008C211yesmaximal, characteristic, complemented
14#13072994C211yesmaximal, characteristic, complemented
15#13072947C211yesmaximal, characteristic, complemented
16#13072945C211yesmaximal, characteristic, complemented
17#13072446C211yesmaximal, characteristic, complemented
18#13072434C211yesmaximal, characteristic, complemented
19#13072362C211yesmaximal, characteristic, complemented
20#13072168C211yesmaximal, characteristic, complemented
21#13072166C211yesmaximal, characteristic, complemented
22#13072090C211yesmaximal, characteristic, complemented
23#13072088C211yesmaximal, characteristic, complemented
24#13071343C211yesmaximal, characteristic, complemented
25#13071318C211yesmaximal, characteristic, complemented
26#13071246C211yesmaximal, characteristic, complemented
27#13071245C211yesmaximal, characteristic, complemented
28#13071121C211yesmaximal, characteristic, complemented
29C4×#66990C211yesmaximal, characteristic, complemented
30C2×D11×#95C211yesmaximal, characteristic, complemented
31C11×#2444C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic
37C2×#66991C2211yescharacteristic
38C2×#66991C2211yescharacteristic
39C2×#66990C2211yescharacteristic
40C2×#66990C2211yescharacteristic
41C2×D4×Dic11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×#66949C2211yescharacteristic
45C2×#66949C2211yescharacteristic
46C2×#66936C2211yescharacteristic
47C2×#66936C2211yescharacteristic
48C2×#66936C2211yescharacteristic
49C2×#66936C2211yescharacteristic
50C2×(C22⋊D11)⋊C4C2211yescharacteristic
51C2×(C22⋊D11)⋊C4C2211yescharacteristic
52C2×#66931C2211yescharacteristic
53C11×#400C2211yescharacteristic, complemented
54C11×#397C2211yescharacteristic, complemented
55C11×#397C2211yescharacteristic, complemented
56C11×#394C2211yescharacteristic, complemented
57C11×#388C2211yescharacteristic, complemented
58C11×#387C2211yescharacteristic, complemented
59C11×#386C2211yescharacteristic
60C11×#386C2211yescharacteristic
61C11×#386C2211yescharacteristic
62C11×#386C2211yescharacteristic, complemented
63C11×#385C2211yescharacteristic
64C11×#381C2211yescharacteristic, complemented
65C2×C11×#95C2211yescharacteristic
66#10622835C2211yescharacteristic, complemented
67#10622833C2211yescharacteristic
68#10622833C2211yescharacteristic
69#10622833C2211yescharacteristic
70#10622833C2211yescharacteristic
71#10622833C2211yescharacteristic
72#10622833C2211yescharacteristic, complemented
73#10622825C2211yescharacteristic
74#10622825C2211yescharacteristic, complemented
75#10622823C2211yescharacteristic
76#10622823C2211yescharacteristic
77#10622823C2211yescharacteristic
78#10622823C2211yescharacteristic
79#10622823C2211yescharacteristic, complemented
80C4×C22⋊Dic11C2211yescharacteristic
81C2×C11⋊#95C2211yescharacteristic
82C2×C11⋊#95C2211yescharacteristic
83C2×C11⋊#95C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622602C2211yescharacteristic
87#10622602C2211yescharacteristic
88#10622600C2211yescharacteristic
89#10622600C2211yescharacteristic
90#10622599C2211yescharacteristic, complemented
91#10622599C2211yescharacteristic, complemented
92#10622599C2211yescharacteristic, complemented
93#10622599C2211yescharacteristic, complemented
94#10622598C2211yescharacteristic, complemented
95#10622597C2211yescharacteristic, complemented
96#10622591C2211yescharacteristic, complemented
97#10622590C2211yescharacteristic, complemented
98#10622569C2211yescharacteristic
99#10622569C2211yescharacteristic
100#10622569C2211yescharacteristic
101#10622569C2211yescharacteristic
102#10622569C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622568C2211yescharacteristic
111#10622568C2211yescharacteristic
112#10622566C2211yescharacteristic, complemented
113#10622566C2211yescharacteristic, complemented
114#10622565C2211yescharacteristic, complemented
115#10622565C2211yescharacteristic, complemented
116#10622565C2211yescharacteristic, complemented
117#10622565C2211yescharacteristic, complemented
118#10622564C2211yescharacteristic, complemented
119#10622563C2211yescharacteristic
120#10622563C2211yescharacteristic
121#10622561C2211yescharacteristic, complemented
122#10622561C2211yescharacteristic, complemented
123#10622560C2211yescharacteristic, complemented
124#10622560C2211yescharacteristic, complemented
125#10622559C2211yescharacteristic
126#10622559C2211yescharacteristic, complemented
127#10622558C2211yescharacteristic, complemented
128#10622557C2211yescharacteristic, complemented
129#10622557C2211yescharacteristic, complemented
130#10622557C2211yescharacteristic, complemented
131#10622556C2211yescharacteristic, complemented
132#10622555C2211yescharacteristic
133#10622555C2211yescharacteristic, complemented
134C22⋊C4×Dic11C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic
137#10622546C2211yescharacteristic, complemented
138#10622542C2211yescharacteristic, complemented
139#10622281C2211yescharacteristic
140#10622281C2211yescharacteristic
141#10622281C2211yescharacteristic
142#10622281C2211yescharacteristic
143#10622281C2211yescharacteristic
144#10622281C2211yescharacteristic
145#10622281C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622280C2211yescharacteristic
148#10622280C2211yescharacteristic
149#10622279C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622277C2211yescharacteristic
152#10622277C2211yescharacteristic
153#10622277C2211yescharacteristic
154#10622277C2211yescharacteristic
155D11×#95C2211yescharacteristic
156D11×#95C2211yescharacteristic
157D11×#95C2211yescharacteristic
158D11×#95C2211yescharacteristic
159D11×#95C2211yescharacteristic
160D11×#95C2211yescharacteristic
161D11×#95C2211yescharacteristic
162D11×#95C2211yescharacteristic
163C11⋊#401C2211yescharacteristic, complemented
164C11⋊#401C2211yescharacteristic, complemented
165#10622274C2211yescharacteristic, complemented
166#10622273C2211yescharacteristic, complemented
167#10622273C2211yescharacteristic, complemented
168#10622272C2211yescharacteristic, complemented
169#10622272C2211yescharacteristic, complemented
170#10622271C2211yescharacteristic, complemented
171#10622271C2211yescharacteristic, complemented
172#10622271C2211yescharacteristic, complemented
173#10622270C2211yescharacteristic, complemented
174#10622270C2211yescharacteristic, complemented
175#10622268C2211yescharacteristic, complemented
176#10622268C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622267C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C22×C4×D11—24no—
204C22×C4×D11—24no—
205C22×C4×D11—24no—
206C22×C4×D11—42no—
207C22×C4×D11—42no—
208C22×C4×D11—42no—
209C22×C4×D11—42no—
210C22×C4×D11—42no—
211C22×C4×D11—42no—
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
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×Dic22C2311yescharacteristic
225C11×#121—42no—
226C4×D4×C11—42no—
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C22⋊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×C42×C11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
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
258#66991—24no—
259#66991—42no—
260#66990—24no—
261#66990—24no—
262D4×Dic11—42no—
263C4×C22⋊D11—24no—
264C4×C22⋊D11—42no—
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304#66949—24no—
305#66949—42no—
306#66936—42no—
307#66936—42no—
308#66936—42no—
309#66936—42no—
310(C22⋊D11)⋊C4—24no—
311(C22⋊D11)⋊C4—42no—
312#66931—42no—
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369#34997—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—22no—
377C23×D11—22no—
378C23×D11—22no—
379C23×D11#4114yes—
380C23×D11C2411yescharacteristic
381C23×D11C2411yescharacteristic
382C2×D4×C11—22no—
383C2×D4×C11—22no—
384C2×D4×C11—22no—
385C2×D4×C11—22no—
386C2×D4×C11—22no—
387C2×D4×C11—22no—
388C2×D4×C11—22no—
389C2×D4×C11—41no—
390C2×D4×C11—41no—
391C22×C4×C11—22no—
392C22×C4×C11—22no—
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11—22no—
396C22×C4×C11—22no—
397C22×C4×C11—41no—
398C22×C4×C11—41no—
399C22×C4×C11—41no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C2×C22⋊D11—22no—
416C2×C22⋊D11—22no—
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C22×Dic11—22no—
428C22×Dic11—22no—
429C22×Dic11—22no—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—41no—
487C2×C4×D11—416no—
488C2×C4×D11—416no—
489C2×C4×D11—416no—
490C2×C4×D11#4114yes—
491C2×C4×D11#4114yes—
492C2×Dic22—22no—
493C2×Dic22—41no—
494C2×Dic22—41no—
495C11×C4⋊C4—22no—
496C11×C4⋊C4—41no—
497C11×C4⋊C4—41no—
498C11×C4⋊C4—41no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—41no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4—41no—
505C11×C22⋊C4—41no—
506C11×C22⋊C4—41no—
507C11×C22⋊C4—41no—
508C11×C22⋊C4—41no—
509C11×C22⋊C4—41no—
510C42×C11—41no—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—22no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521C22⋊Dic11—41no—
522C22⋊Dic11—41no—
523C22⋊Dic11—41no—
524C22⋊Dic11—41no—
525C22⋊Dic11—41no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538C4⋊Dic11—22no—
539C4⋊Dic11—41no—
540C4⋊Dic11—41no—
541C4⋊Dic11—41no—
542C4⋊Dic11—41no—
543C4⋊Dic11—41no—
544C4⋊Dic11—41no—
545C4⋊Dic11—41no—
546Dic11⋊C4—22no—
547Dic11⋊C4—22no—
548Dic11⋊C4—22no—
549Dic11⋊C4—22no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556Dic11⋊C4—41no—
557Dic11⋊C4—41no—
558Dic11⋊C4—41no—
559Dic11⋊C4—41no—
560C4×Dic11—22no—
561C4×Dic11—22no—
562C4×Dic11—41no—
563C4×Dic11—41no—
564C4×Dic11—41no—
565#2849—111no—
566#2849—111no—
567#2848—111no—
568#2847—111no—
569#2646—111no—
570#2643—111no—
571#2643—111no—
572#2639—111no—
573#2510—111no—
574#2510—111no—
575#2505—111no—
576#2505—111no—
577#2493—111no—
578#2493—111no—
579#2488—111no—
580#2488—111no—
581#2450—111no—
582#2450—111no—
583#2444—111no—
584#2444D1111yescharacteristic, complemented
585#2425—111no—
586#2425—111no—
587#2419—111no—
588#2419—111no—
589#2329—111no—
590#2325—111no—
591#2318—111no—
592#2318—111no—
593C4×#120—111no—
594C4×#120—111no—
595C22×#95—111no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11C2×#4112yes—
615C23×C11H(5,𝔽2)12yes—
616C23×C112−1+412yes—
617C23×C11C2511yescharacteristic
618C22×D11—28no—
619C22×D11—28no—
620C22×D11—28no—
621C22×D11—28no—
622C22×D11—28no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—28no—
632C22×D11—28no—
633C22×D11C2×#4112yes—
634C22×D11C2×#4112yes—
635C22×D11C2×#4112yes—
636C22×D11C2×#4112yes—
637C22×D11H(5,𝔽2)12yes—
638C22×D11H(5,𝔽2)12yes—
639D4×C11—44no—
640D4×C11—44no—
641D4×C11—82no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—44no—
677C2×C4×C11—44no—
678C2×C4×C11—44no—
679C2×C4×C11—82no—
680C2×C4×C11C2×#4112yes—
681C2×C4×C11C2×#4112yes—
682C22⋊D11—44no—
683C22⋊D11—44no—
684C22⋊D11—44no—
685C22⋊D11—44no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—44no—
727C2×Dic11—44no—
728C2×Dic11—44no—
729C2×Dic11—82no—
730C2×Dic11C2×#4112yes—
731C2×Dic11C2×#4112yes—
732C4×D11—44no—
733C4×D11—44no—
734C4×D11—44no—
735C4×D11—44no—
736C4×D11—44no—
737C4×D11—44no—
738C4×D11—44no—
739C4×D11—44no—
740C4×D11—44no—
741C4×D11—44no—
742C4×D11—44no—
743C4×D11—44no—
744Dic22—82no—
745C24×C4—111no—
746C24×C4—111no—
747C24×C4—111no—
748C2×#123—111no—
749C2×#123—111no—
750C2×#123—111no—
751C2×#123—111no—
752C2×C22⋊Q8—111no—
753C2×C22⋊Q8—111no—
754C2×C22⋊Q8—111no—
755C2×#121—111no—
756C2×#121—111no—
757C2×#121C2×D1111yescharacteristic
758C2×#120—111no—
759C2×#120—111no—
760C2×C4×D4—111no—
761C2×C4×D4—111no—
762C2×C4×D4—111no—
763C2×C4×D4—111no—
764C2×C4×D4—111no—
765C2×C4×D4C2×D1111yescharacteristic
766#401—111no—
767#401—111no—
768#400—111no—
769#400—111no—
770#400—111no—
771#400—111no—
772#400—111no—
773#400—111no—
774#400—111no—
775#400—111no—
776#400—111no—
777#400—111no—
778#400—111no—
779#400C2×D1111yescharacteristic, complemented
780#398—111no—
781#398—111no—
782#398—111no—
783#398—111no—
784#397—111no—
785#397—111no—
786#397—111no—
787#397—111no—
788#397—111no—
789#397—111no—
790#397C2×D1111yescharacteristic, complemented
791#397C2×D1111yescharacteristic, complemented
792#396—111no—
793#396—111no—
794#394—111no—
795#394C2×D1111yescharacteristic, complemented
796#393—111no—
797#393—111no—
798#391—111no—
799#391—111no—
800#389—111no—
801#389—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388C2×D1111yescharacteristic, complemented
808#387—111no—
809#387—111no—
810#387—111no—
811#387—111no—
812#387—111no—
813#387—111no—
814#387—111no—
815#387—111no—
816#387—111no—
817#387C2×D1111yescharacteristic, complemented
818#386—111no—
819#386—111no—
820#386—111no—
821#386—111no—
822#386—111no—
823#386—111no—
824#386—111no—
825#386—111no—
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386—111no—
831#386—111no—
832#386—111no—
833#386—111no—
834#386—111no—
835#386—111no—
836#386C2×D1111yescharacteristic
837#386C2×D1111yescharacteristic
838#386C2×D1111yescharacteristic
839#386C2×D1111yescharacteristic, complemented
840#385—111no—
841#385—111no—
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#385—111no—
850#385—111no—
851#385—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385—111no—
858#385—111no—
859#385—111no—
860#385—111no—
861#385C2×D1111yescharacteristic
862#383—111no—
863#383—111no—
864#382—111no—
865#382—111no—
866#381—111no—
867#381—111no—
868#381—111no—
869#381—111no—
870#381—111no—
871#381C2×D1111yescharacteristic, complemented
872#380—111no—
873#380—111no—
874#380—111no—
875#380—111no—
876#380—111no—
877#380—111no—
878#380—111no—
879#380—111no—
880#379—111no—
881#379—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C2×#95—111no—
889C2×#95—111no—
890C2×#95—111no—
891C2×#95—111no—
892C2×#95—111no—
893C2×#95—111no—
894C2×#95—111no—
895C2×#95—111no—
896C2×#95—111no—
897C2×#95—111no—
898C2×#95—111no—
899C2×#95C2×D1111yescharacteristic
900C22×C11—22no—
901C22×C11—22no—
902C22×C11—22no—
903C22×C11—22no—
904C22×C11—22no—
905C22×C11—22no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11#53914yes—
921C22×C11C22×#4111yescharacteristic
922C22×C11C22×#4111yescharacteristic
923C22×C11C22×#4111yescharacteristic
924C22×C11C2×H(5,𝔽2)11yescharacteristic
925C22×C11C2×H(5,𝔽2)11yescharacteristic
926C22×C11C2×H(5,𝔽2)11yescharacteristic
927C22×C11C2×2−1+411yescharacteristic
928C2×D11—232no—
929C2×D11—22no—
930C2×D11—22no—
931C2×D11—22no—
932C2×D11—22no—
933C2×D11—22no—
934C2×D11—22no—
935C2×D11—22no—
936C2×D11—22no—
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11#52914yes—
942C2×D11#53814yes—
943C4×C11—22no—
944C4×C11—22no—
945C4×C11—41no—
946C4×C11—41no—
947C4×C11—41no—
948C4×C11—41no—
949C4×C11—41no—
950C4×C11—41no—
951C4×C11—41no—
952C4×C11—41no—
953C4×C11—41no—
954C4×C11—41no—
955Dic11—22no—
956Dic11—22no—
957Dic11—41no—
958Dic11—41no—
959Dic11—41no—
960Dic11—41no—
961Dic11—41no—
962Dic11—41no—
963Dic11—41no—
964Dic11—41no—
965Dic11—41no—
966Dic11—41no—
967Dic11—41no—
968Dic11—41no—
969C25—111no—
970C22×Q8—111no—
971C22×D4—111no—
972C22×D4—111no—
973C22×D4—111no—
974C22×D4—111no—
975C22×D4C22×D1111yescharacteristic
976C22×D4C22×D1111yescharacteristic
977C22×D4C22×D1111yescharacteristic
978C23×C4—111no—
979C23×C4—111no—
980C23×C4—111no—
981C23×C4—111no—
982C23×C4—111no—
983C23×C4—111no—
984C23×C4—111no—
985C23×C4—111no—
986C23×C4—111no—
987C23×C4—111no—
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—224no—
995C23×C4—224no—
996C23×C4—224no—
997C23×C4—442no—
998C23×C4—442no—
999C23×C4—442no—
1000C23×C4—442no—
1001C23×C4—442no—
1002C23×C4—442no—
1003C23×C4C22×D1111yescharacteristic
1004C23×C4C22×D1111yescharacteristic
1005C23×C4C22×D1111yescharacteristic
1006C23×C4C22×D1111yescharacteristic
1007#123—442no—
1008#123—442no—
1009#123—442no—
1010#123—442no—
1011C22⋊Q8—224no—
1012C22⋊Q8—442no—
1013C22⋊Q8—442no—
1014#121—42no—
1015#121—224no—
1016#121—442no—
1017#120—224no—
1018#120—224no—
1019C4×D4—42no—
1020C4×D4—224no—
1021C4×D4—224no—
1022C4×D4—442no—
1023C4×D4—442no—
1024C4×D4—442no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4—111no—
1030C2×C4⋊C4—111no—
1031C2×C4⋊C4—111no—
1032C2×C4⋊C4—111no—
1033C2×C4⋊C4—111no—
1034C2×C4⋊C4—111no—
1035C2×C4⋊C4—111no—
1036C2×C4⋊C4—111no—
1037C2×C4⋊C4—111no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4C22×D1111yescharacteristic
1048C2×C4⋊C4C22×D1111yescharacteristic
1049C2×C4⋊C4C22×D1111yescharacteristic
1050C2×C4⋊C4C22×D1111yescharacteristic
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4C22×D1111yescharacteristic
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C22⋊C4C22×D1111yescharacteristic
1081C2×C22⋊C4C22×D1111yescharacteristic
1082C2×C22⋊C4C22×D1111yescharacteristic
1083C2×C22⋊C4C22×D1111yescharacteristic
1084C2×C22⋊C4C22×D1111yescharacteristic
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C42—111no—
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42C22×D1111yescharacteristic
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
1142#95C22×D1111yescharacteristic
1143#95C22×D1111yescharacteristic
1144#95C22×D1111yescharacteristic
1145#95C22×D1111yescharacteristic
1146#95C22×D1111yescharacteristic
1147#95C22×D1111yescharacteristic
1148#95C22×D1111yescharacteristic
1149#95C22×D1111yescharacteristic
1150#95C22×D1111yescharacteristic
1151C2×C11—24no—
1152C2×C11—81no—
1153C2×C11—81no—
1154C2×C11C2×#52911yescharacteristic
1155C2×C11C2×#53811yescharacteristic
1156C2×C11C2×#53911yescharacteristic
1157C2×C11#349011yescharacteristic
1158C2×C11#349011yescharacteristic
1159C2×C11#349211yescharacteristic
1160C2×C11#349211yescharacteristic
1161D11—24no—
1162D11—24no—
1163C24—111no—
1164C24—111no—
1165C24—114no—
1166C24—222no—
1167C24—222no—
1168C24—222no—
1169C24—222no—
1170C24—222no—
1171C24—222no—
1172C24C23×D1111yescharacteristic
1173C24C23×D1111yescharacteristic
1174C24C23×D1111yescharacteristic
1175C2×Q8—222no—
1176C2×Q8—441no—
1177C2×Q8—441no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—222no—
1188C2×D4—222no—
1189C2×D4—222no—
1190C2×D4—222no—
1191C2×D4—222no—
1192C2×D4—222no—
1193C2×D4—222no—
1194C2×D4—222no—
1195C2×D4—222no—
1196C2×D4—222no—
1197C2×D4—222no—
1198C2×D4—222no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—111no—
1212C22×C4—111no—
1213C22×C4—114no—
1214C22×C4—114no—
1215C22×C4—111no—
1216C22×C4—111no—
1217C22×C4—111no—
1218C22×C4—111no—
1219C22×C4—111no—
1220C22×C4—111no—
1221C22×C4—111no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—222no—
1228C22×C4—222no—
1229C22×C4—222no—
1230C22×C4—222no—
1231C22×C4—222no—
1232C22×C4—222no—
1233C22×C4—222no—
1234C22×C4—222no—
1235C22×C4—222no—
1236C22×C4—222no—
1237C22×C4—222no—
1238C22×C4—222no—
1239C22×C4—222no—
1240C22×C4—222no—
1241C22×C4—222no—
1242C22×C4—222no—
1243C22×C4—222no—
1244C22×C4—222no—
1245C22×C4—222no—
1246C22×C4—222no—
1247C22×C4—222no—
1248C22×C4—222no—
1249C22×C4—222no—
1250C22×C4—222no—
1251C22×C4—441no—
1252C22×C4—441no—
1253C22×C4—441no—
1254C22×C4—441no—
1255C22×C4—441no—
1256C22×C4—441no—
1257C22×C4—441no—
1258C22×C4—441no—
1259C22×C4—441no—
1260C22×C4—441no—
1261C22×C4—441no—
1262C22×C4—441no—
1263C22×C4—441no—
1264C22×C4—441no—
1265C22×C4—441no—
1266C22×C4—441no—
1267C22×C4—4416no—
1268C22×C4—4416no—
1269C22×C4—4416no—
1270C22×C4—441no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4—441no—
1275C22×C4—441no—
1276C22×C4C23×D1111yescharacteristic
1277C22×C4C23×D1111yescharacteristic
1278C22×C4C23×D1111yescharacteristic
1279C22×C4C23×D1111yescharacteristic
1280C22×C4C23×D1111yescharacteristic
1281C22×C4C23×D1111yescharacteristic
1282C22×C4C23×D1111yescharacteristic
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C4⋊C4—22no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—222no—
1293C4⋊C4—222no—
1294C4⋊C4—222no—
1295C4⋊C4—222no—
1296C4⋊C4—222no—
1297C4⋊C4—441no—
1298C4⋊C4—441no—
1299C4⋊C4—441no—
1300C4⋊C4—441no—
1301C4⋊C4—441no—
1302C4⋊C4—441no—
1303C4⋊C4—441no—
1304C4⋊C4—441no—
1305C4⋊C4—441no—
1306C4⋊C4—441no—
1307C4⋊C4—441no—
1308C4⋊C4—441no—
1309C4⋊C4—441no—
1310C4⋊C4—441no—
1311C4⋊C4—441no—
1312C4⋊C4—441no—
1313C4⋊C4—441no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—222no—
1326C22⋊C4—222no—
1327C22⋊C4—222no—
1328C22⋊C4—222no—
1329C22⋊C4—222no—
1330C22⋊C4—222no—
1331C22⋊C4—222no—
1332C22⋊C4—222no—
1333C22⋊C4—222no—
1334C22⋊C4—222no—
1335C22⋊C4—222no—
1336C22⋊C4—222no—
1337C22⋊C4—222no—
1338C22⋊C4—222no—
1339C22⋊C4—222no—
1340C22⋊C4—222no—
1341C22⋊C4—222no—
1342C22⋊C4—222no—
1343C22⋊C4—222no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4—441no—
1349C22⋊C4—441no—
1350C22⋊C4—441no—
1351C22⋊C4—441no—
1352C42—41no—
1353C42—222no—
1354C42—222no—
1355C42—441no—
1356C42—441no—
1357C42—441no—
1358C11#3499711yescharacteristic, complemented, Sylow
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—112no—
1378C23—112no—
1379C23—112no—
1380C23—112no—
1381C23—112no—
1382C23—112no—
1383C23—228no—
1384C23—228no—
1385C23—228no—
1386C23—228no—
1387C23—228no—
1388C23—228no—
1389C23—221no—
1390C23—221no—
1391C23—228no—
1392C23—221no—
1393C23—221no—
1394C23—221no—
1395C23—221no—
1396C23—221no—
1397C23—221no—
1398C23#6703712yes—
1399C23#41×D1112yes—
1400C23#6704312yes—
1401C23C24×D1111yescharacteristic
1402Q8—882no—
1403D4—44no—
1404D4—44no—
1405D4—82no—
1406D4—444no—
1407D4—444no—
1408D4—444no—
1409D4—444no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—82no—
1448C2×C4—112no—
1449C2×C4—112no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—444no—
1491C2×C4—444no—
1492C2×C4—444no—
1493C2×C4—444no—
1494C2×C4—444no—
1495C2×C4—444no—
1496C2×C4—444no—
1497C2×C4—444no—
1498C2×C4—444no—
1499C2×C4—444no—
1500C2×C4—444no—
1501C2×C4—444no—
1502C2×C4—444no—
1503C2×C4—444no—
1504C2×C4—444no—
1505C2×C4—882no—
1506C2×C4#41×D1112yes—
1507C2×C4#41×D1112yes—
1508C22—22no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—114no—
1529C22—114no—
1530C22—2232no—
1531C22—222no—
1532C22—222no—
1533C22—222no—
1534C22—222no—
1535C22—222no—
1536C22—222no—
1537C22—222no—
1538C22—222no—
1539C22—222no—
1540C22—222no—
1541C22—222no—
1542C22—222no—
1543C22#1062319114yes—
1544C22C2×#6703711yescharacteristic
1545C22C2×#41×D1111yescharacteristic
1546C22C2×#41×D1111yescharacteristic
1547C22C2×#41×D1111yescharacteristic
1548C22C2×#6704311yescharacteristic
1549C22D11×H(5,𝔽2)11yescharacteristic
1550C22D11×H(5,𝔽2)11yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—222no—
1564C4—222no—
1565C4—441no—
1566C4—441no—
1567C4—441no—
1568C4—441no—
1569C4—441no—
1570C4—441no—
1571C4—441no—
1572C4—441no—
1573C4—441no—
1574C4—441no—
1575C4—441no—
1576C4—441no—
1577C2—24no—
1578C2—81no—
1579C2—81no—
1580C2—224no—
1581C2—224no—
1582C2D11×#52911yescharacteristic
1583C2D11×#53811yescharacteristic
1584C2C2×#1062319111yescharacteristic
1585C2#1308229811yescharacteristic
1586C2#1308229811yescharacteristic
1587C2#1308232011yescharacteristic
1588C2#1308232011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2444C2
prime radical#13076895C2
hypercenter#2444D11
hypocenterC11#34997
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
1. #13076907C2semidirect
2. #13076907C2semidirect
3. #13076902C2semidirect
5. #13074587C2semidirect
6. #13074568C2semidirect
7. #13074568C2semidirect
8. #13074547C2semidirect
9. #13073178C2semidirect
10. #13073174C2semidirect
11. #13073121C2semidirect
12. #13073117C2semidirect
13. #13073008C2semidirect
14. #13072994C2semidirect
15. #13072947C2semidirect
16. #13072945C2semidirect
17. #13072446C2semidirect
18. #13072434C2semidirect
19. #13072362C2semidirect
20. #13072168C2semidirect
21. #13072166C2semidirect
22. #13072090C2semidirect
23. #13072088C2semidirect
24. #13071343C2semidirect
25. #13071318C2semidirect
26. #13071246C2semidirect
27. #13071245C2semidirect
28. #13071121C2semidirect
29. C4×#66990C2semidirect
30. C2×D11×#95C2semidirect
31. C11×#2444C2semidirect
53. C11×#400C22semidirect
54. C11×#397C22semidirect
55. C11×#397C22semidirect
56. C11×#394C22semidirect
57. C11×#388C22semidirect
58. C11×#387C22semidirect
62. C11×#386C22semidirect
64. C11×#381C22semidirect
66. #10622835C22semidirect
72. #10622833C22semidirect
74. #10622825C22semidirect
79. #10622823C22semidirect
90. #10622599C22semidirect
91. #10622599C22semidirect
92. #10622599C22semidirect
93. #10622599C22semidirect
94. #10622598C22semidirect
95. #10622597C22semidirect
96. #10622591C22semidirect
97. #10622590C22semidirect
112. #10622566C22semidirect
113. #10622566C22semidirect
114. #10622565C22semidirect
115. #10622565C22semidirect
116. #10622565C22semidirect
117. #10622565C22semidirect
118. #10622564C22semidirect
121. #10622561C22semidirect
122. #10622561C22semidirect
123. #10622560C22semidirect
124. #10622560C22semidirect
126. #10622559C22semidirect
127. #10622558C22semidirect
128. #10622557C22semidirect
129. #10622557C22semidirect
130. #10622557C22semidirect
131. #10622556C22semidirect
133. #10622555C22semidirect
137. #10622546C22semidirect
138. #10622542C22semidirect
163. C11⋊#401C22semidirect
164. C11⋊#401C22semidirect
165. #10622274C22semidirect
166. #10622273C22semidirect
167. #10622273C22semidirect
168. #10622272C22semidirect
169. #10622272C22semidirect
170. #10622271C22semidirect
171. #10622271C22semidirect
172. #10622271C22semidirect
173. #10622270C22semidirect
174. #10622270C22semidirect
175. #10622268C22semidirect
176. #10622268C22semidirect
177. #10622268C22semidirect
178. #10622267C22semidirect
179. #10622266C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622264C22semidirect
184. #10622263C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
584. #2444D11semidirect
779. #400C2×D11semidirect
790. #397C2×D11semidirect
791. #397C2×D11semidirect
795. #394C2×D11semidirect
807. #388C2×D11semidirect
817. #387C2×D11semidirect
839. #386C2×D11semidirect
871. #381C2×D11semidirect
1358. C11#34997semidirect

Maximal subgroups

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

subgroupindex
#130769072
#130769022
#130768952
#130745872
#130745682
#130745472
#130731782
#130731742
#130731212
#130731172
#130730082
#130729942
#130729472
#130729452
#130724462
#130724342
#130723622
#130721682
#130721662
#130720902
#130720882
#130713432
#130713182
#130712462
#130712452
#130711212
C4×#669902
C2×D11×#952
C11×#24442
#3499711