Finite Group Databasebeta

← #14961776

Subgroups — #14961776

Order 2816.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076965C211yesmaximal, characteristic, complemented
2#13076912C211yesmaximal, characteristic, complemented
3#13076519C211yesmaximal, characteristic, complemented
4#13076511C211yesmaximal, characteristic, complemented
5#13076490C211yesmaximal, characteristic, complemented
6#13076482C211yesmaximal, characteristic, complemented
7#13076253C211yesmaximal, characteristic, complemented
8#13076246C211yesmaximal, characteristic, complemented
9#13075912C211yesmaximal, characteristic, complemented
10#13075908C211yesmaximal, characteristic, complemented
11#13075629C211yesmaximal, characteristic, complemented
12#13075624C211yesmaximal, characteristic, complemented
13#13075472C211yesmaximal, characteristic, complemented
14#13075466C211yesmaximal, characteristic, complemented
15#13075382C211yesmaximal, characteristic, complemented
16#13075296C211yesmaximal, characteristic, complemented
17#13075293C211yesmaximal, characteristic, complemented
18#13074420C211yesmaximal, characteristic, complemented
19#13074349C211yesmaximal, characteristic
20#13072883C211yesmaximal, characteristic, complemented
21#13072872C211yesmaximal, characteristic, complemented
22#13072743C211yesmaximal, characteristic, complemented
23#13072738C211yesmaximal, characteristic, complemented
24#13072445C211yesmaximal, characteristic, complemented
25#13072433C211yesmaximal, characteristic, complemented
26#13072077C211yesmaximal, characteristic, complemented
27#13072071C211yesmaximal, characteristic, complemented
28#13071348C211yesmaximal, characteristic, complemented
29#13071318C211yesmaximal, characteristic, complemented
30D11×#388C211yesmaximal, characteristic, complemented
31C11×#2712C211yesmaximal, characteristic, complemented
32C2×C11×#124C2211yescharacteristic
33C2×C11×#124C2211yescharacteristic, complemented
34C2×#66999C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×#66997C2211yescharacteristic, complemented
37C2×#66991C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×#66990C2211yescharacteristic
40C2×#66988C2211yescharacteristic
41C2×#66982C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×#66950C2211yescharacteristic
44C2×C4⋊C4×D11C2211yescharacteristic
45C2×#66938C2211yescharacteristic
46C2×(C22⋊D11)⋊C4C2211yescharacteristic
47C2×C22⋊C4×D11C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×#66932C2211yescharacteristic, complemented
51C2×#66932C2211yescharacteristic, complemented
52C2×C42×D11C2211yescharacteristic
53C11×#397C2211yescharacteristic, complemented
54C11×#394C2211yescharacteristic
55C11×#394C2211yescharacteristic
56C11×#393C2211yescharacteristic
57C11×#393C2211yescharacteristic, complemented
58C11×#392C2211yescharacteristic
59C11×#391C2211yescharacteristic, complemented
60C11×#391C2211yescharacteristic, complemented
61C11×#388C2211yescharacteristic
62C11×#388C2211yescharacteristic, complemented
63C11×#386C2211yescharacteristic
64C11×#386C2211yescharacteristic, complemented
65C11×#385C2211yescharacteristic, complemented
66#10622844C2211yescharacteristic
67#10622844C2211yescharacteristic
68#10622843C2211yescharacteristic, complemented
69#10622843C2211yescharacteristic, complemented
70#10622843C2211yescharacteristic, complemented
71#10622836C2211yescharacteristic
72#10622835C2211yescharacteristic
73#10622835C2211yescharacteristic
74#10622835C2211yescharacteristic
75#10622835C2211yescharacteristic
76#10622834C2211yescharacteristic
77#10622834C2211yescharacteristic, complemented
78#10622833C2211yescharacteristic, complemented
79#10622825C2211yescharacteristic, complemented
80#10622823C2211yescharacteristic, complemented
81#10622605C2211yescharacteristic
82#10622603C2211yescharacteristic
83#10622603C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622597C2211yescharacteristic, complemented
86#10622595C2211yescharacteristic, complemented
87#10622594C2211yescharacteristic, complemented
88#10622591C2211yescharacteristic, complemented
89#10622589C2211yescharacteristic, complemented
90#10622585C2211yescharacteristic, complemented
91#10622574C2211yescharacteristic
92#10622574C2211yescharacteristic
93#10622574C2211yescharacteristic
94#10622572C2211yescharacteristic
95#10622572C2211yescharacteristic
96#10622572C2211yescharacteristic
97#10622571C2211yescharacteristic
98#10622570C2211yescharacteristic
99#10622569C2211yescharacteristic
100#10622569C2211yescharacteristic
101#10622569C2211yescharacteristic
102#10622569C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622568C2211yescharacteristic
108#10622568C2211yescharacteristic
109#10622566C2211yescharacteristic
110#10622565C2211yescharacteristic
111#10622565C2211yescharacteristic
112#10622565C2211yescharacteristic, complemented
113#10622564C2211yescharacteristic
114#10622564C2211yescharacteristic
115#10622564C2211yescharacteristic
116#10622563C2211yescharacteristic, complemented
117#10622562C2211yescharacteristic
118#10622562C2211yescharacteristic
119#10622561C2211yescharacteristic
120#10622561C2211yescharacteristic
121#10622561C2211yescharacteristic, complemented
122#10622561C2211yescharacteristic, complemented
123#10622561C2211yescharacteristic, complemented
124#10622561C2211yescharacteristic, complemented
125#10622560C2211yescharacteristic
126#10622560C2211yescharacteristic, complemented
127#10622559C2211yescharacteristic, complemented
128#10622558C2211yescharacteristic
129#10622558C2211yescharacteristic
130#10622558C2211yescharacteristic
131#10622558C2211yescharacteristic, complemented
132#10622557C2211yescharacteristic
133#10622557C2211yescharacteristic, complemented
134#10622557C2211yescharacteristic, complemented
135#10622557C2211yescharacteristic, complemented
136#10622557C2211yescharacteristic, complemented
137#10622557C2211yescharacteristic, complemented
138#10622557C2211yescharacteristic, complemented
139#10622555C2211yescharacteristic, complemented
140#10622553C2211yescharacteristic
141#10622553C2211yescharacteristic
142C4×(C2×D11)⋊C4C2211yescharacteristic
143#10622549C2211yescharacteristic, complemented
144#10622546C2211yescharacteristic, complemented
145#10622546C2211yescharacteristic, complemented
146#10622542C2211yescharacteristic, complemented
147#10622290C2211yescharacteristic
148#10622289C2211yescharacteristic
149#10622289C2211yescharacteristic
150#10622288C2211yescharacteristic
151#10622287C2211yescharacteristic
152#10622287C2211yescharacteristic
153#10622283C2211yescharacteristic
154#10622282C2211yescharacteristic
155#10622282C2211yescharacteristic
156#10622282C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622281C2211yescharacteristic
159#10622281C2211yescharacteristic
160#10622280C2211yescharacteristic
161#10622280C2211yescharacteristic
162#10622280C2211yescharacteristic
163#10622280C2211yescharacteristic
164#10622279C2211yescharacteristic
165D11×#95C2211yescharacteristic
166D11×#95C2211yescharacteristic
167#10622273C2211yescharacteristic, complemented
168#10622273C2211yescharacteristic, complemented
169#10622272C2211yescharacteristic, complemented
170#10622271C2211yescharacteristic, complemented
171#10622271C2211yescharacteristic, complemented
172#10622270C2211yescharacteristic, complemented
173#10622267C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622267C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622260C2211yescharacteristic, complemented
182#10622260C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×Dic22C2311yescharacteristic
206C11×#124—42no—
207C11×#124—42no—
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245#66999—24no—
246#66999—42no—
247#66997—42no—
248#66991—24no—
249#66990—42no—
250#66990—42no—
251#66988—42no—
252#66982—42no—
253C4×C22⋊D11—42no—
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309#66950—42no—
310C4⋊C4×D11—42no—
311#66938—42no—
312(C22⋊D11)⋊C4—42no—
313C22⋊C4×D11—24no—
314C22⋊C4×D11—42no—
315C22⋊C4×D11—42no—
316#66932—42no—
317#66932—42no—
318C42×D11—42no—
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
363#36765—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C23×D11—22no—
368C23×D11—22no—
369C23×D11—22no—
370C23×D11—41no—
371C23×D11—41no—
372C23×D11—41no—
373C23×D11—41no—
374C23×D11C2411yescharacteristic
375C23×D11C2411yescharacteristic
376C2×Q8×C11—22no—
377C2×Q8×C11—22no—
378C2×Q8×C11—41no—
379C2×Q8×C11—41no—
380C2×Q8×C11—41no—
381C2×Q8×C11—41no—
382C2×D4×C11—22no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C2×D4×C11—41no—
387C2×D4×C11—41no—
388C2×D4×C11—41no—
389C2×D4×C11—41no—
390C2×D4×C11—41no—
391C22×C4×C11—41no—
392C22×C4×C11—41no—
393C22×C4×C11—41no—
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C2×C22⋊D11—22no—
407C2×C22⋊D11—22no—
408C2×C22⋊D11—22no—
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11—22no—
412C2×C22⋊D11—41no—
413C2×C22⋊D11—41no—
414C2×C22⋊D11—41no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11—41no—
417C2×C22⋊D11—41no—
418C22×Dic11—41no—
419C22×Dic11—41no—
420C22×Dic11—41no—
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—41no—
443C2×C4×D11—41no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11#4114yes—
453C2×Dic22—22no—
454C2×Dic22—41no—
455C2×Dic22—41no—
456C11×C4⋊C4—41no—
457C11×C4⋊C4—41no—
458C11×C4⋊C4—41no—
459C11×C22⋊C4—22no—
460C11×C22⋊C4—22no—
461C11×C22⋊C4—22no—
462C11×C22⋊C4—22no—
463C11×C22⋊C4—41no—
464C11×C22⋊C4—41no—
465C11×C22⋊C4—41no—
466C11×C22⋊C4—41no—
467C11×C22⋊C4—41no—
468C11×C22⋊C4—41no—
469C11×C22⋊C4—41no—
470C11×C22⋊C4—41no—
471C11×C22⋊C4—41no—
472C11×C22⋊C4—41no—
473C42×C11—22no—
474C42×C11—41no—
475C22⋊Dic11—22no—
476C22⋊Dic11—22no—
477C22⋊Dic11—22no—
478C22⋊Dic11—22no—
479C22⋊Dic11—22no—
480C22⋊Dic11—22no—
481C22⋊Dic11—41no—
482C22⋊Dic11—41no—
483C22⋊Dic11—41no—
484C22⋊Dic11—41no—
485C22⋊Dic11—41no—
486C22⋊Dic11—41no—
487C22⋊Dic11—41no—
488C22⋊Dic11—41no—
489C22⋊Dic11—41no—
490C22⋊Dic11—41no—
491C22⋊Dic11—41no—
492C22⋊Dic11—41no—
493(C2×D11)⋊C4—22no—
494(C2×D11)⋊C4—22no—
495(C2×D11)⋊C4—22no—
496(C2×D11)⋊C4—22no—
497(C2×D11)⋊C4—22no—
498(C2×D11)⋊C4—22no—
499(C2×D11)⋊C4—22no—
500(C2×D11)⋊C4—22no—
501(C2×D11)⋊C4—22no—
502(C2×D11)⋊C4—22no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4—41no—
505(C2×D11)⋊C4—41no—
506(C2×D11)⋊C4—41no—
507(C2×D11)⋊C4—41no—
508(C2×D11)⋊C4—41no—
509(C2×D11)⋊C4—41no—
510(C2×D11)⋊C4—41no—
511C4⋊Dic11—22no—
512C4⋊Dic11—22no—
513C4⋊Dic11—22no—
514C4⋊Dic11—41no—
515C4⋊Dic11—41no—
516C4⋊Dic11—41no—
517C4⋊Dic11—41no—
518C4⋊Dic11—41no—
519C4⋊Dic11—41no—
520Dic11⋊C4—22no—
521Dic11⋊C4—22no—
522Dic11⋊C4—22no—
523Dic11⋊C4—22no—
524Dic11⋊C4—22no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529Dic11⋊C4—41no—
530Dic11⋊C4—41no—
531Dic11⋊C4—41no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540C4×Dic11—22no—
541C4×Dic11—41no—
542C4×Dic11—41no—
543C4×Dic11—41no—
544C4×Dic11—41no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548#2857—111no—
549#2850—111no—
550#2800—111no—
551#2800—111no—
552#2798—111no—
553#2798—111no—
554#2779—111no—
555#2779—111no—
556#2754—111no—
557#2754—111no—
558#2731—111no—
559#2731—111no—
560#2718—111no—
561#2718—111no—
562#2712—111no—
563#2712D1111yescharacteristic, complemented
564#2705—111no—
565#2705—111no—
566#2626—111no—
567#2617—111no—
568#2481—111no—
569#2481—111no—
570#2472—111no—
571#2472—111no—
572#2450—111no—
573#2450—111no—
574#2418—111no—
575#2418—111no—
576#2329—111no—
577#2325—111no—
578C2×#388—111no—
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11C2511yescharacteristic
601C22×D11—21no—
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—44no—
613C22×D11—44no—
614C22×D11—44no—
615C22×D11—82no—
616C22×D11—82no—
617C22×D11—82no—
618C22×D11—82no—
619C22×D11C2×#4112yes—
620C22×D11H(5,𝔽2)12yes—
621C22×D112−1+412yes—
622Q8×C11—82no—
623Q8×C11—82no—
624D4×C11—82no—
625D4×C11—82no—
626D4×C11—82no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
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—82no—
662C2×C4×C11C2×#4112yes—
663C2×C4×C11H(5,𝔽2)12yes—
664C22⋊D11—44no—
665C22⋊D11—44no—
666C22⋊D11—82no—
667C22⋊D11—82no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
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—82no—
709C2×Dic11C2×#4112yes—
710C2×Dic11H(5,𝔽2)12yes—
711C4×D11—44no—
712C4×D11—44no—
713C4×D11—44no—
714C4×D11—44no—
715C4×D11—82no—
716C4×D11—82no—
717Dic22—82no—
718C2×C4⋊Q8—111no—
719C2×#126—111no—
720C2×#126—111no—
721C2×#124—111no—
722C2×#124C2×D1111yescharacteristic
723C2×#124C2×D1111yescharacteristic, complemented
724C2×#123—111no—
725C2×#123—111no—
726C2×C22⋊Q8—111no—
727C2×C22⋊Q8—111no—
728C2×C22⋊Q8—111no—
729C2×#121—111no—
730C2×#120—111no—
731C2×#120—111no—
732C2×C4×D4—111no—
733C2×C4×D4—111no—
734C22×C4⋊C4—111no—
735C22×C22⋊C4—111no—
736C22×C22⋊C4—111no—
737C22×C22⋊C4—111no—
738C22×C42—111no—
739#400—111no—
740#400—111no—
741#400—111no—
742#400—111no—
743#400—111no—
744#400—111no—
745#399—111no—
746#399—111no—
747#399—111no—
748#399—111no—
749#398—111no—
750#398—111no—
751#397—111no—
752#397—111no—
753#397—111no—
754#397—111no—
755#397—111no—
756#397—111no—
757#397—111no—
758#397C2×D1111yescharacteristic, complemented
759#396—111no—
760#396—111no—
761#396—111no—
762#396—111no—
763#396—111no—
764#396—111no—
765#396—111no—
766#396—111no—
767#394—111no—
768#394—111no—
769#394—111no—
770#394—111no—
771#394—111no—
772#394—111no—
773#394—111no—
774#394—111no—
775#394—111no—
776#394—111no—
777#394C2×D1111yescharacteristic
778#394C2×D1111yescharacteristic
779#393—111no—
780#393—111no—
781#393—111no—
782#393—111no—
783#393C2×D1111yescharacteristic
784#393C2×D1111yescharacteristic, complemented
785#392—111no—
786#392C2×D1111yescharacteristic
787#391—111no—
788#391—111no—
789#391—111no—
790#391—111no—
791#391—111no—
792#391C2×D1111yescharacteristic, complemented
793#391C2×D1111yescharacteristic, complemented
794#390—111no—
795#390—111no—
796#390—111no—
797#389—111no—
798#389—111no—
799#389—111no—
800#389—111no—
801#389—111no—
802#389—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388—111no—
814#388—111no—
815#388—111no—
816#388—111no—
817#388—111no—
818#388—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#388—111no—
824#388—111no—
825#388C2×D1111yescharacteristic
826#388C2×D1111yescharacteristic, complemented
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387—111no—
832#387—111no—
833#387—111no—
834#387—111no—
835#387—111no—
836#387—111no—
837#387—111no—
838#387—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#386—111no—
843#386—111no—
844#386—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#386—111no—
849#386C2×D1111yescharacteristic
850#386C2×D1111yescharacteristic, complemented
851#385—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385—111no—
858#385C2×D1111yescharacteristic, complemented
859#384—111no—
860#382—111no—
861#380—111no—
862#380—111no—
863#380—111no—
864#380—111no—
865#380—111no—
866#380—111no—
867#379—111no—
868#379—111no—
869C4×C22⋊C4—111no—
870C4×C22⋊C4—111no—
871C2×#95—111no—
872C2×#95—111no—
873C22×C11—41no—
874C22×C11—41no—
875C22×C11—41no—
876C22×C11—41no—
877C22×C11—41no—
878C22×C11—41no—
879C22×C11—41no—
880C22×C11—41no—
881C22×C11—41no—
882C22×C11—41no—
883C22×C11—41no—
884C22×C11—41no—
885C22×C11—41no—
886C22×C11—41no—
887C22×C11—41no—
888C22×C11—41no—
889C22×C11—41no—
890C22×C11—41no—
891C22×C11—41no—
892C22×C11—41no—
893C22×C11—41no—
894C22×C11C22×#4111yescharacteristic
895C22×C11C2×H(5,𝔽2)11yescharacteristic
896C22×C11C2×H(5,𝔽2)11yescharacteristic
897C22×C11C2×H(5,𝔽2)11yescharacteristic
898C22×C11C2×2−1+411yescharacteristic
899C22×C11#58511yescharacteristic
900C22×C11#58511yescharacteristic
901C2×D11—22no—
902C2×D11—22no—
903C2×D11—22no—
904C2×D11—22no—
905C2×D11—22no—
906C2×D11—22no—
907C2×D11—41no—
908C2×D11—41no—
909C2×D11—41no—
910C2×D11—41no—
911C2×D11—41no—
912C2×D11—41no—
913C2×D11—41no—
914C2×D11—88no—
915C2×D11#54214yes—
916C4×C11—22no—
917C4×C11—22no—
918C4×C11—41no—
919C4×C11—41no—
920C4×C11—41no—
921C4×C11—41no—
922C4×C11—41no—
923C4×C11—41no—
924C4×C11—41no—
925C4×C11—41no—
926C4×C11—41no—
927C4×C11—41no—
928Dic11—22no—
929Dic11—22no—
930Dic11—41no—
931Dic11—41no—
932Dic11—41no—
933Dic11—41no—
934Dic11—41no—
935Dic11—41no—
936Dic11—41no—
937Dic11—41no—
938Dic11—41no—
939Dic11—41no—
940Dic11—41no—
941Dic11—41no—
942C25—111no—
943C22×Q8—111no—
944C22×Q8C22×D1111yescharacteristic
945C22×Q8C22×D1111yescharacteristic
946C22×D4—111no—
947C22×D4—111no—
948C22×D4—111no—
949C22×D4—111no—
950C22×D4C22×D1111yescharacteristic
951C22×D4C22×D1111yescharacteristic
952C22×D4C22×D1111yescharacteristic
953C23×C4—111no—
954C23×C4—111no—
955C23×C4—111no—
956C23×C4—111no—
957C23×C4—111no—
958C23×C4—111no—
959C23×C4—111no—
960C23×C4C22×D1111yescharacteristic
961C4⋊Q8—442no—
962#126—442no—
963#126—442no—
964#124—42no—
965#124—42no—
966#124—442no—
967#123—442no—
968#123—442no—
969C22⋊Q8—224no—
970C22⋊Q8—442no—
971C22⋊Q8—442no—
972#121—224no—
973#120—442no—
974#120—442no—
975C4×D4—442no—
976C4×D4—442no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—111no—
987C2×C4⋊C4—111no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—442no—
1007C2×C4⋊C4C22×D1111yescharacteristic
1008C2×C4⋊C4C22×D1111yescharacteristic
1009C2×C4⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—224no—
1047C2×C22⋊C4—442no—
1048C2×C22⋊C4—442no—
1049C2×C22⋊C4C22×D1111yescharacteristic
1050C2×C22⋊C4C22×D1111yescharacteristic
1051C2×C22⋊C4C22×D1111yescharacteristic
1052C2×C22⋊C4C22×D1111yescharacteristic
1053C2×C22⋊C4C22×D1111yescharacteristic
1054C2×C22⋊C4C22×D1111yescharacteristic
1055C2×C22⋊C4C22×D1111yescharacteristic
1056C2×C22⋊C4C22×D1111yescharacteristic
1057C2×C22⋊C4C22×D1111yescharacteristic
1058C2×C22⋊C4C22×D1111yescharacteristic
1059C2×C22⋊C4C22×D1111yescharacteristic
1060C2×C22⋊C4C22×D1111yescharacteristic
1061C2×C22⋊C4C22×D1111yescharacteristic
1062C2×C22⋊C4C22×D1111yescharacteristic
1063C2×C42—111no—
1064C2×C42—111no—
1065C2×C42—111no—
1066C2×C42—111no—
1067C2×C42—111no—
1068C2×C42—111no—
1069C2×C42—111no—
1070C2×C42—111no—
1071C2×C42—442no—
1072C2×C42C22×D1111yescharacteristic
1073C2×C42C22×D1111yescharacteristic
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
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#95C22×D1111yescharacteristic
1109#95C22×D1111yescharacteristic
1110#95C22×D1111yescharacteristic
1111#95C22×D1111yescharacteristic
1112#95C22×D1111yescharacteristic
1113#95C22×D1111yescharacteristic
1114#95C22×D1111yescharacteristic
1115#95C22×D1111yescharacteristic
1116#95C22×D1111yescharacteristic
1117#95C22×D1111yescharacteristic
1118C2×C11—81no—
1119C2×C11—81no—
1120C2×C11—81no—
1121C2×C11C2×#54211yescharacteristic
1122C2×C11#350511yescharacteristic
1123C2×C11#350611yescharacteristic
1124C2×C11#353411yescharacteristic
1125C2×C11#353611yescharacteristic
1126C2×C11#355811yescharacteristic
1127C2×C11#356411yescharacteristic
1128D11—24no—
1129D11—81no—
1130C24—111no—
1131C24—111no—
1132C24—222no—
1133C24—222no—
1134C24—222no—
1135C24—441no—
1136C24—441no—
1137C24—441no—
1138C24—441no—
1139C24C23×D1111yescharacteristic
1140C24C23×D1111yescharacteristic
1141C24C23×D1111yescharacteristic
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—41no—
1145C2×Q8—41no—
1146C2×Q8—41no—
1147C2×Q8—41no—
1148C2×Q8—222no—
1149C2×Q8—441no—
1150C2×Q8—441no—
1151C2×D4—22no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—222no—
1161C2×D4—222no—
1162C2×D4—222no—
1163C2×D4—222no—
1164C2×D4—222no—
1165C2×D4—222no—
1166C2×D4—441no—
1167C2×D4—441no—
1168C2×D4—441no—
1169C2×D4—441no—
1170C2×D4—441no—
1171C2×D4—441no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—111no—
1176C22×C4—111no—
1177C22×C4—114no—
1178C22×C4—111no—
1179C22×C4—111no—
1180C22×C4—111no—
1181C22×C4—111no—
1182C22×C4—111no—
1183C22×C4—111no—
1184C22×C4—111no—
1185C22×C4—111no—
1186C22×C4—111no—
1187C22×C4—111no—
1188C22×C4—111no—
1189C22×C4—111no—
1190C22×C4—222no—
1191C22×C4—222no—
1192C22×C4—222no—
1193C22×C4—222no—
1194C22×C4—222no—
1195C22×C4—222no—
1196C22×C4—222no—
1197C22×C4—441no—
1198C22×C4—441no—
1199C22×C4—441no—
1200C22×C4—441no—
1201C22×C4—441no—
1202C22×C4—441no—
1203C22×C4—441no—
1204C22×C4—441no—
1205C22×C4—441no—
1206C22×C4—441no—
1207C22×C4—441no—
1208C22×C4—441no—
1209C22×C4—441no—
1210C22×C4C23×D1111yescharacteristic
1211C22×C4C23×D1111yescharacteristic
1212C22×C4C23×D1111yescharacteristic
1213C22×C4C23×D1111yescharacteristic
1214C22×C4C23×D1111yescharacteristic
1215C22×C4C23×D1111yescharacteristic
1216C22×C4C23×D1111yescharacteristic
1217C22×C4C23×D1111yescharacteristic
1218C22×C4C23×D1111yescharacteristic
1219C22×C4C23×D1111yescharacteristic
1220C22×C4C23×D1111yescharacteristic
1221C22×C4C23×D1111yescharacteristic
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—222no—
1226C4⋊C4—222no—
1227C4⋊C4—222no—
1228C4⋊C4—222no—
1229C4⋊C4—222no—
1230C4⋊C4—222no—
1231C4⋊C4—222no—
1232C4⋊C4—222no—
1233C4⋊C4—441no—
1234C4⋊C4—441no—
1235C4⋊C4—441no—
1236C4⋊C4—441no—
1237C4⋊C4—441no—
1238C4⋊C4—441no—
1239C4⋊C4—441no—
1240C4⋊C4—441no—
1241C4⋊C4—441no—
1242C4⋊C4—441no—
1243C4⋊C4—441no—
1244C4⋊C4—441no—
1245C4⋊C4—441no—
1246C4⋊C4—441no—
1247C4⋊C4—441no—
1248C4⋊C4—441no—
1249C4⋊C4—441no—
1250C4⋊C4—441no—
1251C4⋊C4—441no—
1252C4⋊C4—441no—
1253C4⋊C4—441no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—222no—
1269C22⋊C4—222no—
1270C22⋊C4—222no—
1271C22⋊C4—222no—
1272C22⋊C4—222no—
1273C22⋊C4—222no—
1274C22⋊C4—222no—
1275C22⋊C4—222no—
1276C22⋊C4—222no—
1277C22⋊C4—222no—
1278C22⋊C4—222no—
1279C22⋊C4—222no—
1280C22⋊C4—222no—
1281C22⋊C4—222no—
1282C22⋊C4—222no—
1283C22⋊C4—222no—
1284C22⋊C4—441no—
1285C22⋊C4—441no—
1286C22⋊C4—441no—
1287C22⋊C4—441no—
1288C22⋊C4—441no—
1289C22⋊C4—441no—
1290C22⋊C4—441no—
1291C22⋊C4—441no—
1292C22⋊C4—441no—
1293C22⋊C4—441no—
1294C22⋊C4—441no—
1295C22⋊C4—441no—
1296C22⋊C4—441no—
1297C22⋊C4—441no—
1298C22⋊C4—441no—
1299C22⋊C4—441no—
1300C22⋊C4—441no—
1301C22⋊C4—441no—
1302C22⋊C4—441no—
1303C22⋊C4—441no—
1304C42—22no—
1305C42—41no—
1306C42—222no—
1307C42—441no—
1308C42—441no—
1309C42—441no—
1310C42—441no—
1311C42—441no—
1312C42—441no—
1313C42—441no—
1314C11#3676511yescharacteristic, complemented, Sylow
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—112no—
1337C23—112no—
1338C23—112no—
1339C23—221no—
1340C23—221no—
1341C23—221no—
1342C23—221no—
1343C23—221no—
1344C23—221no—
1345C23—221no—
1346C23—221no—
1347C23—221no—
1348C23—221no—
1349C23—221no—
1350C23—444no—
1351C23—444no—
1352C23—444no—
1353C23—882no—
1354C23—882no—
1355C23—882no—
1356C23—882no—
1357C23C24×D1111yescharacteristic
1358Q8—82no—
1359Q8—82no—
1360Q8—882no—
1361D4—82no—
1362D4—82no—
1363D4—82no—
1364D4—444no—
1365D4—444no—
1366D4—882no—
1367D4—882no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—82no—
1403C2×C4—112no—
1404C2×C4—112no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—221no—
1412C2×C4—221no—
1413C2×C4—221no—
1414C2×C4—221no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—444no—
1446C2×C4—444no—
1447C2×C4—444no—
1448C2×C4—444no—
1449C2×C4—882no—
1450C2×C4—882no—
1451C2×C4—882no—
1452C2×C4#6703712yes—
1453C2×C4#41×D1112yes—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—114no—
1476C22—222no—
1477C22—222no—
1478C22—222no—
1479C22—222no—
1480C22—222no—
1481C22—222no—
1482C22—441no—
1483C22—441no—
1484C22—441no—
1485C22—441no—
1486C22—441no—
1487C22—441no—
1488C22—441no—
1489C22—888no—
1490C22C2×#6703711yescharacteristic
1491C22C2×#41×D1111yescharacteristic
1492C22#1062345311yescharacteristic
1493C22D11×H(5,𝔽2)11yescharacteristic
1494C22D11×H(5,𝔽2)11yescharacteristic
1495C22#1062345511yescharacteristic
1496C22D11×2−1+411yescharacteristic
1497C4—22no—
1498C4—22no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—222no—
1510C4—222no—
1511C4—441no—
1512C4—441no—
1513C4—441no—
1514C4—441no—
1515C4—441no—
1516C4—441no—
1517C4—441no—
1518C4—441no—
1519C4—441no—
1520C4—441no—
1521C4—441no—
1522C4—441no—
1523C2—81no—
1524C2—81no—
1525C2—81no—
1526C2—224no—
1527C2—881no—
1528C2D11×#54211yescharacteristic
1529C2#1308244311yescharacteristic
1530C2#1308246411yescharacteristic
1531C2#1308279811yescharacteristic
1532C2#1308283411yescharacteristic
1533C2#1308312911yescharacteristic
1534C2#1308324111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2712C2
prime radical#13074349C2
hypercenter#2712D11
hypocenterC11#36765
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2712

Complements

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

NH ≅ G/Ntype
1. #13076965C2semidirect
2. #13076912C2semidirect
3. #13076519C2semidirect
4. #13076511C2semidirect
5. #13076490C2semidirect
6. #13076482C2semidirect
7. #13076253C2semidirect
8. #13076246C2semidirect
9. #13075912C2semidirect
10. #13075908C2semidirect
11. #13075629C2semidirect
12. #13075624C2semidirect
13. #13075472C2semidirect
14. #13075466C2semidirect
15. #13075382C2semidirect
16. #13075296C2semidirect
17. #13075293C2semidirect
18. #13074420C2semidirect
20. #13072883C2semidirect
21. #13072872C2semidirect
22. #13072743C2semidirect
23. #13072738C2semidirect
24. #13072445C2semidirect
25. #13072433C2semidirect
26. #13072077C2semidirect
27. #13072071C2semidirect
28. #13071348C2semidirect
29. #13071318C2semidirect
30. D11×#388C2semidirect
31. C11×#2712C2semidirect
33. C2×C11×#124C22semidirect
36. C2×#66997C22semidirect
50. C2×#66932C22semidirect
51. C2×#66932C22semidirect
53. C11×#397C22semidirect
57. C11×#393C22semidirect
59. C11×#391C22semidirect
60. C11×#391C22semidirect
62. C11×#388C22semidirect
64. C11×#386C22semidirect
65. C11×#385C22semidirect
68. #10622843C22semidirect
69. #10622843C22semidirect
70. #10622843C22semidirect
77. #10622834C22semidirect
78. #10622833C22semidirect
79. #10622825C22semidirect
80. #10622823C22semidirect
85. #10622597C22semidirect
86. #10622595C22semidirect
87. #10622594C22semidirect
88. #10622591C22semidirect
89. #10622589C22semidirect
90. #10622585C22semidirect
112. #10622565C22semidirect
116. #10622563C22semidirect
121. #10622561C22semidirect
122. #10622561C22semidirect
123. #10622561C22semidirect
124. #10622561C22semidirect
126. #10622560C22semidirect
127. #10622559C22semidirect
131. #10622558C22semidirect
133. #10622557C22semidirect
134. #10622557C22semidirect
135. #10622557C22semidirect
136. #10622557C22semidirect
137. #10622557C22semidirect
138. #10622557C22semidirect
139. #10622555C22semidirect
143. #10622549C22semidirect
144. #10622546C22semidirect
145. #10622546C22semidirect
146. #10622542C22semidirect
167. #10622273C22semidirect
168. #10622273C22semidirect
169. #10622272C22semidirect
170. #10622271C22semidirect
171. #10622271C22semidirect
172. #10622270C22semidirect
173. #10622267C22semidirect
174. #10622267C22semidirect
175. #10622267C22semidirect
176. #10622267C22semidirect
177. #10622266C22semidirect
178. #10622266C22semidirect
179. #10622266C22semidirect
180. #10622265C22semidirect
181. #10622260C22semidirect
182. #10622260C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
563. #2712D11semidirect
723. C2×#124C2×D11semidirect
758. #397C2×D11semidirect
784. #393C2×D11semidirect
792. #391C2×D11semidirect
793. #391C2×D11semidirect
826. #388C2×D11semidirect
850. #386C2×D11semidirect
858. #385C2×D11semidirect
1314. C11#36765semidirect

Maximal subgroups

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

subgroupindex
#130769652
#130769122
#130765192
#130765112
#130764902
#130764822
#130762532
#130762462
#130759122
#130759082
#130756292
#130756242
#130754722
#130754662
#130753822
#130752962
#130752932
#130744202
#130743492
#130728832
#130728722
#130727432
#130727382
#130724452
#130724332
#130720772
#130720712
#130713482
#130713182
D11×#3882
C11×#27122
#3676511