Finite Group Databasebeta

← #14961402

Subgroups — #14961402

Order 2816.

1778 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076965C211yesmaximal, characteristic, complemented
2#13076925C211yesmaximal, characteristic, complemented
3#13076390C211yesmaximal, characteristic, complemented
4#13076388C211yesmaximal, characteristic, complemented
5#13076387C211yesmaximal, characteristic, complemented
6#13076383C211yesmaximal, characteristic, complemented
7#13076360C211yesmaximal, characteristic, complemented
8#13076093C211yesmaximal, characteristic, complemented
9#13076089C211yesmaximal, characteristic, complemented
10#13075744C211yesmaximal, characteristic, complemented
11#13075741C211yesmaximal, characteristic, complemented
12#13075596C211yesmaximal, characteristic, complemented
13#13075595C211yesmaximal, characteristic, complemented
14#13075493C211yesmaximal, characteristic, complemented
15#13075489C211yesmaximal, characteristic, complemented
16#13074930C211yesmaximal, characteristic, complemented
17#13074925C211yesmaximal, characteristic, complemented
18#13074731C211yesmaximal, characteristic, complemented
19#13074587C211yesmaximal, characteristic, complemented
20#13073838C211yesmaximal, characteristic, complemented
21#13073836C211yesmaximal, characteristic, complemented
22#13072316C211yesmaximal, characteristic, complemented
23#13072311C211yesmaximal, characteristic, complemented
24#13072284C211yesmaximal, characteristic
25#13072280C211yesmaximal, characteristic
26#13072278C211yesmaximal, characteristic
27#13072276C211yesmaximal, characteristic
28#13071227C211yesmaximal, characteristic
29#13071210C211yesmaximal, characteristic
30D11×#388C211yesmaximal, characteristic
31C11×#2788C211yesmaximal, characteristic, complemented
32C2×#66999C2211yescharacteristic
33C2×#66999C2211yescharacteristic
34C2×#66997C2211yescharacteristic, complemented
35C2×#66997C2211yescharacteristic, complemented
36C22×(C2×D11)⋊C4C2211yescharacteristic
37C2×#66950C2211yescharacteristic
38C2×#66950C2211yescharacteristic
39C2×#66949C2211yescharacteristic
40C2×#66949C2211yescharacteristic
41C2×C4⋊C4×D11C2211yescharacteristic
42C2×#66943C2211yescharacteristic, complemented
43C2×#66941C2211yescharacteristic, complemented
44C2×C22⋊C4×D11C2211yescharacteristic
45C2×C22⋊C4×D11C2211yescharacteristic
46C2×C22⋊C4×D11C2211yescharacteristic
47C2×C22⋊C4×D11C2211yescharacteristic
48C2×#66931C2211yescharacteristic
49C2×#66931C2211yescharacteristic
50C2×C42×D11C2211yescharacteristic
51C11×#400C2211yescharacteristic, complemented
52C11×#400C2211yescharacteristic, complemented
53C11×#398C2211yescharacteristic, complemented
54C11×#396C2211yescharacteristic
55C11×#395C2211yescharacteristic, complemented
56C11×#393C2211yescharacteristic
57C11×#391C2211yescharacteristic, complemented
58C11×#389C2211yescharacteristic, complemented
59C11×#389C2211yescharacteristic, complemented
60C11×#388C2211yescharacteristic
61C11×#388C2211yescharacteristic
62C11×#387C2211yescharacteristic, complemented
63C11×#385C2211yescharacteristic
64C11×#385C2211yescharacteristic
65C11×#380C2211yescharacteristic
66#10622825C2211yescharacteristic
67#10622823C2211yescharacteristic
68#10622823C2211yescharacteristic
69#10622607C2211yescharacteristic
70#10622607C2211yescharacteristic
71#10622607C2211yescharacteristic
72#10622605C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622602C2211yescharacteristic
76#10622602C2211yescharacteristic
77#10622602C2211yescharacteristic
78#10622602C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622600C2211yescharacteristic
82#10622600C2211yescharacteristic
83#10622600C2211yescharacteristic
84#10622600C2211yescharacteristic
85#10622600C2211yescharacteristic
86#10622599C2211yescharacteristic, complemented
87#10622598C2211yescharacteristic, complemented
88#10622597C2211yescharacteristic, complemented
89#10622597C2211yescharacteristic, complemented
90#10622597C2211yescharacteristic, complemented
91#10622597C2211yescharacteristic, complemented
92#10622597C2211yescharacteristic, complemented
93#10622596C2211yescharacteristic, complemented
94#10622596C2211yescharacteristic, complemented
95#10622595C2211yescharacteristic, complemented
96#10622594C2211yescharacteristic, complemented
97#10622594C2211yescharacteristic, complemented
98#10622593C2211yescharacteristic, complemented
99#10622593C2211yescharacteristic, complemented
100#10622592C2211yescharacteristic, complemented
101#10622591C2211yescharacteristic, complemented
102#10622590C2211yescharacteristic, complemented
103#10622589C2211yescharacteristic, complemented
104#10622589C2211yescharacteristic, complemented
105#10622585C2211yescharacteristic, complemented
106#10622568C2211yescharacteristic
107#10622568C2211yescharacteristic
108#10622564C2211yescharacteristic
109#10622564C2211yescharacteristic
110#10622563C2211yescharacteristic
111#10622563C2211yescharacteristic
112#10622562C2211yescharacteristic
113#10622562C2211yescharacteristic
114#10622561C2211yescharacteristic
115#10622561C2211yescharacteristic
116#10622561C2211yescharacteristic
117#10622560C2211yescharacteristic
118#10622559C2211yescharacteristic
119#10622559C2211yescharacteristic
120#10622558C2211yescharacteristic
121#10622558C2211yescharacteristic
122#10622557C2211yescharacteristic
123#10622557C2211yescharacteristic
124#10622553C2211yescharacteristic
125#10622553C2211yescharacteristic
126C4×(C2×D11)⋊C4C2211yescharacteristic
127#10622548C2211yescharacteristic, complemented
128#10622546C2211yescharacteristic, complemented
129#10622542C2211yescharacteristic, complemented
130#10622541C2211yescharacteristic, complemented
131#10622290C2211yescharacteristic
132#10622289C2211yescharacteristic
133#10622286C2211yescharacteristic
134#10622286C2211yescharacteristic
135#10622283C2211yescharacteristic
136#10622283C2211yescharacteristic
137#10622282C2211yescharacteristic
138#10622282C2211yescharacteristic
139#10622281C2211yescharacteristic
140#10622281C2211yescharacteristic
141#10622281C2211yescharacteristic
142#10622281C2211yescharacteristic
143#10622281C2211yescharacteristic
144#10622281C2211yescharacteristic
145#10622281C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622280C2211yescharacteristic
150#10622280C2211yescharacteristic
151#10622280C2211yescharacteristic
152#10622280C2211yescharacteristic
153#10622280C2211yescharacteristic
154#10622280C2211yescharacteristic
155#10622280C2211yescharacteristic
156#10622279C2211yescharacteristic
157D11×#95C2211yescharacteristic
158D11×#95C2211yescharacteristic
159#10622274C2211yescharacteristic, complemented
160#10622273C2211yescharacteristic, complemented
161#10622272C2211yescharacteristic, complemented
162#10622272C2211yescharacteristic, complemented
163#10622271C2211yescharacteristic, complemented
164#10622270C2211yescharacteristic, complemented
165#10622270C2211yescharacteristic, complemented
166#10622270C2211yescharacteristic, complemented
167#10622270C2211yescharacteristic, complemented
168#10622270C2211yescharacteristic, complemented
169#10622269C2211yescharacteristic, complemented
170#10622269C2211yescharacteristic, complemented
171#10622269C2211yescharacteristic, complemented
172#10622269C2211yescharacteristic, complemented
173#10622269C2211yescharacteristic, complemented
174#10622269C2211yescharacteristic, complemented
175#10622268C2211yescharacteristic, complemented
176#10622268C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622260C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×Dic11C2311yescharacteristic
191C22×C4×D11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×Dic22C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊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×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227#66999—42no—
228#66999—42no—
229#66997—42no—
230#66997—42no—
231C2×(C2×D11)⋊C4—42no—
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299#66950—42no—
300#66950—42no—
301#66949—42no—
302#66949—42no—
303C4⋊C4×D11—42no—
304#66943—42no—
305#66941—42no—
306C22⋊C4×D11—42no—
307C22⋊C4×D11—42no—
308C22⋊C4×D11—42no—
309C22⋊C4×D11Q818yescomplemented
310#66931—42no—
311#66931—42no—
312C42×D11—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
361#36749—111nomaximal, Sylow
362C24×C11C2411yescharacteristic
363C23×D11—22no—
364C23×D11—22no—
365C23×D11—41no—
366C23×D11—41no—
367C23×D11—41no—
368C23×D11—41no—
369C23×D11C2×Q814yes—
370C23×D11C2411yescharacteristic
371C23×D11C2411yescharacteristic
372C2×Q8×C11—22no—
373C2×Q8×C11—41no—
374C2×Q8×C11—41no—
375C22×C4×C11—41no—
376C22×C4×C11—41no—
377C22×C4×C11—41no—
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×Dic11—41no—
393C22×Dic11—41no—
394C22×Dic11—41no—
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C2×C4×D11—22no—
410C2×C4×D11—22no—
411C2×C4×D11—22no—
412C2×C4×D11—22no—
413C2×C4×D11—22no—
414C2×C4×D11—22no—
415C2×C4×D11—41no—
416C2×C4×D11—41no—
417C2×C4×D11—41no—
418C2×C4×D11—41no—
419C2×C4×D11—41no—
420C2×C4×D11—41no—
421C2×C4×D11—41no—
422C2×C4×D11—41no—
423C2×C4×D11—41no—
424C2×C4×D11—41no—
425C2×C4×D11—41no—
426C2×C4×D11—41no—
427C2×C4×D11—41no—
428C2×C4×D11—41no—
429C2×C4×D11—41no—
430C2×C4×D11—41no—
431C2×C4×D11C2×Q814yes—
432C2×C4×D11C2×Q814yes—
433C2×Dic22—22no—
434C2×Dic22—41no—
435C2×Dic22—41no—
436C2×Dic22—41no—
437C2×Dic22—41no—
438C2×Dic22—41no—
439C2×Dic22—41no—
440C2×Dic22—41no—
441C2×Dic22—41no—
442C11×C4⋊C4—22no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
445C11×C4⋊C4—41no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4—41no—
448C11×C4⋊C4—41no—
449C11×C4⋊C4—41no—
450C11×C4⋊C4—41no—
451C11×C4⋊C4—41no—
452C11×C4⋊C4—41no—
453C11×C22⋊C4—22no—
454C11×C22⋊C4—41no—
455C11×C22⋊C4—41no—
456C11×C22⋊C4—41no—
457C11×C22⋊C4—41no—
458C11×C22⋊C4C2×Q814yes—
459C42×C11—41no—
460C42×C11—41no—
461C22⋊Dic11—22no—
462C22⋊Dic11—41no—
463C22⋊Dic11—41no—
464C22⋊Dic11—41no—
465C22⋊Dic11—41no—
466C22⋊Dic11C2×Q814yes—
467(C2×D11)⋊C4—22no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—22no—
470(C2×D11)⋊C4—22no—
471(C2×D11)⋊C4—22no—
472(C2×D11)⋊C4—22no—
473(C2×D11)⋊C4—22no—
474(C2×D11)⋊C4—22no—
475(C2×D11)⋊C4—22no—
476(C2×D11)⋊C4—22no—
477(C2×D11)⋊C4—41no—
478(C2×D11)⋊C4—41no—
479(C2×D11)⋊C4—41no—
480(C2×D11)⋊C4—41no—
481(C2×D11)⋊C4—41no—
482(C2×D11)⋊C4—41no—
483(C2×D11)⋊C4—41no—
484(C2×D11)⋊C4—41no—
485(C2×D11)⋊C4C2×Q814yes—
486(C2×D11)⋊C4C2×Q814yes—
487C4⋊Dic11—41no—
488C4⋊Dic11—41no—
489C4⋊Dic11—41no—
490C4⋊Dic11—41no—
491C4⋊Dic11—41no—
492C4⋊Dic11—41no—
493C4⋊Dic11—41no—
494C4⋊Dic11—41no—
495C4⋊Dic11—41no—
496C4⋊Dic11—41no—
497C4⋊Dic11—41no—
498C4⋊Dic11—41no—
499C4⋊Dic11—41no—
500C4⋊Dic11—41no—
501C4⋊Dic11—41no—
502Dic11⋊C4—22no—
503Dic11⋊C4—22no—
504Dic11⋊C4—22no—
505Dic11⋊C4—22no—
506Dic11⋊C4—22no—
507Dic11⋊C4—22no—
508Dic11⋊C4—22no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528C4×Dic11—22no—
529C4×Dic11—22no—
530C4×Dic11—41no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534#2857—111no—
535#2851—111no—
536#2790—111no—
537#2790—111no—
538#2790—111no—
539#2790—111no—
540#2788—111no—
541#2788D1111yescharacteristic, complemented
542#2768—111no—
543#2768—111no—
544#2742—111no—
545#2742—111no—
546#2729—111no—
547#2729—111no—
548#2720—111no—
549#2720—111no—
550#2677—111no—
551#2677—111no—
552#2659—111no—
553#2646—111no—
554#2569—111no—
555#2569—111no—
556#2440—111no—
557#2440—111no—
558#2437—111no—
559#2437—111no—
560#2437—111no—
561#2437—111no—
562#2315—111no—
563#2312—111no—
564C2×#388—111no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11C22×Q812yes—
572C23×C11C2511yescharacteristic
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11—28no—
584C22×D11—44no—
585C22×D11—44no—
586C22×D11—82no—
587C22×D11—82no—
588C22×D11—82no—
589C22×D11—82no—
590C22×D11C22×Q812yes—
591C22×D11C22×Q812yes—
592C22×D11H(5,𝔽2)12yes—
593C22×D112−1+412yes—
594Q8×C11—82no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
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—82no—
635C2×C4×C11C22×Q812yes—
636C2×C4×C11C22×Q812yes—
637C2×C4×C11H(5,𝔽2)12yes—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
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—82no—
678C2×Dic11C22×Q812yes—
679C2×Dic11C22×Q812yes—
680C2×Dic11H(5,𝔽2)12yes—
681C4×D11—44no—
682C4×D11—44no—
683C4×D11—44no—
684C4×D11—44no—
685C4×D11—82no—
686C4×D11—82no—
687C4×D11—82no—
688C4×D11—82no—
689Dic22—82no—
690Dic22—82no—
691Dic22—82no—
692C2×C4⋊Q8—111no—
693C2×C4⋊Q8—111no—
694C2×C4⋊Q8—111no—
695C2×#125—111no—
696C2×C22⋊Q8—111no—
697C2×C22⋊Q8—111no—
698C2×C22⋊Q8—111no—
699C2×C22⋊Q8—111no—
700C2×C22⋊Q8—111no—
701C2×C22⋊Q8—111no—
702C2×C22⋊Q8—111no—
703C2×C22⋊Q8—111no—
704C22×C4⋊C4—111no—
705C22×C22⋊C4—111no—
706C22×C22⋊C4—111no—
707C22×C22⋊C4—111no—
708C22×C22⋊C4—111no—
709C22×C22⋊C4—111no—
710C22×C42—111no—
711#400—111no—
712#400—111no—
713#400—111no—
714#400—111no—
715#400—111no—
716#400—111no—
717#400C2×D1111yescharacteristic, complemented
718#400C2×D1111yescharacteristic, complemented
719#399—111no—
720#399—111no—
721#399—111no—
722#399—111no—
723#398—111no—
724#398—111no—
725#398—111no—
726#398—111no—
727#398—111no—
728#398—111no—
729#398—111no—
730#398—111no—
731#398—111no—
732#398—111no—
733#398—111no—
734#398—111no—
735#398—111no—
736#398—111no—
737#398—111no—
738#398C2×D1111yescharacteristic, complemented
739#396—111no—
740#396—111no—
741#396—111no—
742#396—111no—
743#396—111no—
744#396—111no—
745#396—111no—
746#396C2×D1111yescharacteristic
747#395—111no—
748#395—111no—
749#395—111no—
750#395—111no—
751#395—111no—
752#395—111no—
753#395—111no—
754#395C2×D1111yescharacteristic, complemented
755#393—111no—
756#393—111no—
757#393—111no—
758#393C2×D1111yescharacteristic
759#391—111no—
760#391C2×D1111yescharacteristic, complemented
761#389—111no—
762#389—111no—
763#389—111no—
764#389—111no—
765#389—111no—
766#389—111no—
767#389—111no—
768#389—111no—
769#389C2×D1111yescharacteristic, complemented
770#389C2×D1111yescharacteristic, complemented
771#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
776#388—111no—
777#388—111no—
778#388—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388C2×D1111yescharacteristic
786#388C2×D1111yescharacteristic
787#387—111no—
788#387—111no—
789#387—111no—
790#387—111no—
791#387—111no—
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387C2×D1111yescharacteristic, complemented
799#385—111no—
800#385—111no—
801#385—111no—
802#385—111no—
803#385—111no—
804#385—111no—
805#385—111no—
806#385—111no—
807#385—111no—
808#385—111no—
809#385—111no—
810#385—111no—
811#385—111no—
812#385—111no—
813#385—111no—
814#385—111no—
815#385—111no—
816#385—111no—
817#385—111no—
818#385—111no—
819#385—111no—
820#385—111no—
821#385C2×D1111yescharacteristic
822#385C2×D1111yescharacteristic
823#384—111no—
824#384—111no—
825#384—111no—
826#382—111no—
827#380—111no—
828#380—111no—
829#380—111no—
830#380—111no—
831#380—111no—
832#380—111no—
833#380—111no—
834#380—111no—
835#380—111no—
836#380—111no—
837#380—111no—
838#380—111no—
839#380—111no—
840#380C2×D1111yescharacteristic
841#379—111no—
842#379—111no—
843C4×C22⋊C4—111no—
844C4×C22⋊C4—111no—
845C2×#95—111no—
846C2×#95—111no—
847C22×C11—22no—
848C22×C11—22no—
849C22×C11—22no—
850C22×C11—41no—
851C22×C11—41no—
852C22×C11—41no—
853C22×C11—41no—
854C22×C11C23×Q811yescharacteristic
855C22×C11C2×H(5,𝔽2)11yescharacteristic
856C22×C11C2×H(5,𝔽2)11yescharacteristic
857C22×C11C2×H(5,𝔽2)11yescharacteristic
858C22×C11C2×2−1+411yescharacteristic
859C22×C11#58511yescharacteristic
860C22×C11#58511yescharacteristic
861C2×D11—22no—
862C2×D11—22no—
863C2×D11—22no—
864C2×D11—22no—
865C2×D11—22no—
866C2×D11—22no—
867C2×D11—22no—
868C2×D11—22no—
869C2×D11—22no—
870C2×D11—41no—
871C2×D11—41no—
872C2×D11—41no—
873C2×D11—41no—
874C2×D11—88no—
875C2×D11#54414yes—
876C4×C11—22no—
877C4×C11—22no—
878C4×C11—22no—
879C4×C11—41no—
880C4×C11—41no—
881C4×C11—41no—
882C4×C11—41no—
883C4×C11—41no—
884C4×C11—41no—
885C4×C11—41no—
886C4×C11—41no—
887C4×C11—41no—
888C4×C11—41no—
889C4×C11—41no—
890Dic11—22no—
891Dic11—22no—
892Dic11—22no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896Dic11—41no—
897Dic11—41no—
898Dic11—41no—
899Dic11—41no—
900Dic11—41no—
901Dic11—41no—
902Dic11—41no—
903Dic11—41no—
904C25—111no—
905C22×Q8—111no—
906C22×Q8—111no—
907C22×Q8—111no—
908C22×Q8C22×D1111yescharacteristic
909C23×C4—111no—
910C23×C4—111no—
911C23×C4—111no—
912C23×C4—111no—
913C23×C4—111no—
914C23×C4—111no—
915C23×C4—111no—
916C23×C4—111no—
917C23×C4—111no—
918C23×C4C22×D1111yescharacteristic
919C4⋊Q8—442no—
920C4⋊Q8—442no—
921C4⋊Q8—442no—
922#125—442no—
923C22⋊Q8—442no—
924C22⋊Q8—442no—
925C22⋊Q8—442no—
926C22⋊Q8—442no—
927C22⋊Q8—442no—
928C22⋊Q8—442no—
929C22⋊Q8—442no—
930C22⋊Q8—442no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—442no—
973C2×C4⋊C4C22×D1111yescharacteristic
974C2×C4⋊C4C22×D1111yescharacteristic
975C2×C4⋊C4C22×D1111yescharacteristic
976C2×C4⋊C4C22×D1111yescharacteristic
977C2×C4⋊C4C22×D1111yescharacteristic
978C2×C4⋊C4C22×D1111yescharacteristic
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C4⋊C4C22×D1111yescharacteristic
982C2×C4⋊C4C22×D1111yescharacteristic
983C2×C4⋊C4C22×D1111yescharacteristic
984C2×C22⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—118no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—442no—
1012C2×C22⋊C4—442no—
1013C2×C22⋊C4—442no—
1014C2×C22⋊C4—442no—
1015C2×C22⋊C4C22×D1111yescharacteristic
1016C2×C22⋊C4C22×D1111yescharacteristic
1017C2×C22⋊C4C22×D1111yescharacteristic
1018C2×C22⋊C4C22×D1111yescharacteristic
1019C2×C22⋊C4C22×D1111yescharacteristic
1020C2×C22⋊C4C22×D1111yescharacteristic
1021C2×C42—111no—
1022C2×C42—111no—
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—442no—
1028C2×C42C22×D1111yescharacteristic
1029C2×C42C22×D1111yescharacteristic
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069#95C22×D1111yescharacteristic
1070#95C22×D1111yescharacteristic
1071#95C22×D1111yescharacteristic
1072#95C22×D1111yescharacteristic
1073#95C22×D1111yescharacteristic
1074#95C22×D1111yescharacteristic
1075#95C22×D1111yescharacteristic
1076#95C22×D1111yescharacteristic
1077#95C22×D1111yescharacteristic
1078C2×C11—42no—
1079C2×C11C2×#54411yescharacteristic
1080C2×C11#350111yescharacteristic
1081C2×C11#350111yescharacteristic
1082C2×C11#353511yescharacteristic
1083C2×C11#353711yescharacteristic
1084C2×C11#356011yescharacteristic
1085C2×C11#356111yescharacteristic
1086D11—24no—
1087D11—42no—
1088C24—111no—
1089C24—111no—
1090C24—114no—
1091C24—222no—
1092C24—222no—
1093C24—441no—
1094C24—441no—
1095C24—441no—
1096C24—441no—
1097C24C23×D1111yescharacteristic
1098C2×Q8—22no—
1099C2×Q8—41no—
1100C2×Q8—41no—
1101C2×Q8—222no—
1102C2×Q8—441no—
1103C2×Q8—441no—
1104C2×Q8—441no—
1105C2×Q8—441no—
1106C2×Q8—441no—
1107C2×Q8—441no—
1108C2×Q8—441no—
1109C2×Q8—441no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—111no—
1116C22×C4—114no—
1117C22×C4—114no—
1118C22×C4—111no—
1119C22×C4—111no—
1120C22×C4—111no—
1121C22×C4—111no—
1122C22×C4—111no—
1123C22×C4—111no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—111no—
1129C22×C4—222no—
1130C22×C4—222no—
1131C22×C4—222no—
1132C22×C4—222no—
1133C22×C4—222no—
1134C22×C4—222no—
1135C22×C4—441no—
1136C22×C4—441no—
1137C22×C4—441no—
1138C22×C4—441no—
1139C22×C4—441no—
1140C22×C4—441no—
1141C22×C4—441no—
1142C22×C4—441no—
1143C22×C4—441no—
1144C22×C4—441no—
1145C22×C4—441no—
1146C22×C4—441no—
1147C22×C4—441no—
1148C22×C4—441no—
1149C22×C4—441no—
1150C22×C4—441no—
1151C22×C4—441no—
1152C22×C4—441no—
1153C22×C4—441no—
1154C22×C4C23×D1111yescharacteristic
1155C22×C4C23×D1111yescharacteristic
1156C22×C4C23×D1111yescharacteristic
1157C22×C4C23×D1111yescharacteristic
1158C22×C4C23×D1111yescharacteristic
1159C22×C4C23×D1111yescharacteristic
1160C22×C4C23×D1111yescharacteristic
1161C22×C4C23×D1111yescharacteristic
1162C22×C4C23×D1111yescharacteristic
1163C22×C4C23×D1111yescharacteristic
1164C22×C4C23×D1111yescharacteristic
1165C22×C4C23×D1111yescharacteristic
1166C22×C4C23×D1111yescharacteristic
1167C22×C4C23×D1111yescharacteristic
1168C4⋊C4—22no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—222no—
1180C4⋊C4—222no—
1181C4⋊C4—222no—
1182C4⋊C4—222no—
1183C4⋊C4—222no—
1184C4⋊C4—222no—
1185C4⋊C4—222no—
1186C4⋊C4—441no—
1187C4⋊C4—441no—
1188C4⋊C4—441no—
1189C4⋊C4—441no—
1190C4⋊C4—441no—
1191C4⋊C4—441no—
1192C4⋊C4—441no—
1193C4⋊C4—441no—
1194C4⋊C4—441no—
1195C4⋊C4—441no—
1196C4⋊C4—441no—
1197C4⋊C4—441no—
1198C4⋊C4—441no—
1199C4⋊C4—441no—
1200C4⋊C4—441no—
1201C4⋊C4—441no—
1202C4⋊C4—441no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C4⋊C4—441no—
1207C4⋊C4—441no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C4⋊C4—441no—
1212C4⋊C4—441no—
1213C4⋊C4—441no—
1214C4⋊C4—441no—
1215C4⋊C4—441no—
1216C4⋊C4—441no—
1217C4⋊C4—441no—
1218C4⋊C4—441no—
1219C4⋊C4—441no—
1220C22⋊C4—22no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—114no—
1226C22⋊C4—114no—
1227C22⋊C4—114no—
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—441no—
1240C22⋊C4—441no—
1241C22⋊C4—441no—
1242C22⋊C4—441no—
1243C22⋊C4—441no—
1244C22⋊C4—441no—
1245C22⋊C4—441no—
1246C22⋊C4—441no—
1247C22⋊C4—441no—
1248C22⋊C4—441no—
1249C22⋊C4—441no—
1250C22⋊C4—441no—
1251C22⋊C4Q8×D1114yes—
1252C42—41no—
1253C42—41no—
1254C42—222no—
1255C42—222no—
1256C42—441no—
1257C42—441no—
1258C42—441no—
1259C42—441no—
1260C11#3674911yescharacteristic, complemented, Sylow
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—112no—
1268C23—112no—
1269C23—112no—
1270C23—112no—
1271C23—228no—
1272C23—221no—
1273C23—221no—
1274C23—221no—
1275C23—221no—
1276C23—221no—
1277C23—221no—
1278C23—221no—
1279C23—221no—
1280C23—221no—
1281C23—221no—
1282C23—444no—
1283C23—444no—
1284C23—882no—
1285C23—882no—
1286C23—882no—
1287C23—882no—
1288C23C2×Q8×D1112yes—
1289C23C24×D1111yescharacteristic
1290Q8—82no—
1291Q8—882no—
1292Q8—882no—
1293Q8—882no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—82no—
1334C2×C4—112no—
1335C2×C4—112no—
1336C2×C4—112no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—221no—
1356C2×C4—221no—
1357C2×C4—221no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—444no—
1377C2×C4—444no—
1378C2×C4—444no—
1379C2×C4—444no—
1380C2×C4—882no—
1381C2×C4—882no—
1382C2×C4—882no—
1383C2×C4—882no—
1384C2×C4—882no—
1385C2×C4C2×Q8×D1112yes—
1386C2×C4C2×Q8×D1112yes—
1387C2×C4#6704212yes—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—114no—
1396C22—222no—
1397C22—222no—
1398C22—222no—
1399C22—222no—
1400C22—222no—
1401C22—222no—
1402C22—222no—
1403C22—222no—
1404C22—222no—
1405C22—441no—
1406C22—441no—
1407C22—441no—
1408C22—441no—
1409C22—888no—
1410C22C22×Q8×D1111yescharacteristic
1411C22C2×#6704211yescharacteristic
1412C22#1062345311yescharacteristic
1413C22D11×H(5,𝔽2)11yescharacteristic
1414C22D11×H(5,𝔽2)11yescharacteristic
1415C22#1062345511yescharacteristic
1416C22D11×2−1+411yescharacteristic
1417C4—22no—
1418C4—22no—
1419C4—22no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—222no—
1432C4—222no—
1433C4—222no—
1434C4—441no—
1435C4—441no—
1436C4—441no—
1437C4—441no—
1438C4—441no—
1439C4—441no—
1440C4—441no—
1441C4—441no—
1442C4—441no—
1443C4—441no—
1444C4—441no—
1445C2—42no—
1446C2—224no—
1447C2—442no—
1448C2D11×#54411yescharacteristic
1449C2#1308241311yescharacteristic
1450C2#1308241511yescharacteristic
1451C2#1308281611yescharacteristic
1452C2#1308284811yescharacteristic
1453C2#1308316111yescharacteristic
1454C2#1308318511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2788C2
prime radicalC24×D11C23
hypercenter#2788D11
hypocenterC11#36749
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2788

Complements

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

NH ≅ G/Ntype
1. #13076965C2semidirect
2. #13076925C2semidirect
3. #13076390C2semidirect
4. #13076388C2semidirect
5. #13076387C2semidirect
6. #13076383C2semidirect
7. #13076360C2semidirect
8. #13076093C2semidirect
9. #13076089C2semidirect
10. #13075744C2semidirect
11. #13075741C2semidirect
12. #13075596C2semidirect
13. #13075595C2semidirect
14. #13075493C2semidirect
15. #13075489C2semidirect
16. #13074930C2semidirect
17. #13074925C2semidirect
18. #13074731C2semidirect
19. #13074587C2semidirect
20. #13073838C2semidirect
21. #13073836C2semidirect
22. #13072316C2semidirect
23. #13072311C2semidirect
31. C11×#2788C2semidirect
34. C2×#66997C22semidirect
35. C2×#66997C22semidirect
42. C2×#66943C22semidirect
43. C2×#66941C22semidirect
51. C11×#400C22semidirect
52. C11×#400C22semidirect
53. C11×#398C22semidirect
55. C11×#395C22semidirect
57. C11×#391C22semidirect
58. C11×#389C22semidirect
59. C11×#389C22semidirect
62. C11×#387C22semidirect
86. #10622599C22semidirect
87. #10622598C22semidirect
88. #10622597C22semidirect
89. #10622597C22semidirect
90. #10622597C22semidirect
91. #10622597C22semidirect
92. #10622597C22semidirect
93. #10622596C22semidirect
94. #10622596C22semidirect
95. #10622595C22semidirect
96. #10622594C22semidirect
97. #10622594C22semidirect
98. #10622593C22semidirect
99. #10622593C22semidirect
100. #10622592C22semidirect
101. #10622591C22semidirect
102. #10622590C22semidirect
103. #10622589C22semidirect
104. #10622589C22semidirect
105. #10622585C22semidirect
127. #10622548C22semidirect
128. #10622546C22semidirect
129. #10622542C22semidirect
130. #10622541C22semidirect
159. #10622274C22semidirect
160. #10622273C22semidirect
161. #10622272C22semidirect
162. #10622272C22semidirect
163. #10622271C22semidirect
164. #10622270C22semidirect
165. #10622270C22semidirect
166. #10622270C22semidirect
167. #10622270C22semidirect
168. #10622270C22semidirect
169. #10622269C22semidirect
170. #10622269C22semidirect
171. #10622269C22semidirect
172. #10622269C22semidirect
173. #10622269C22semidirect
174. #10622269C22semidirect
175. #10622268C22semidirect
176. #10622268C22semidirect
177. #10622266C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622260C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
309. C22⋊C4×D11Q8semidirect
541. #2788D11semidirect
717. #400C2×D11semidirect
718. #400C2×D11semidirect
738. #398C2×D11semidirect
754. #395C2×D11semidirect
760. #391C2×D11semidirect
769. #389C2×D11semidirect
770. #389C2×D11semidirect
798. #387C2×D11semidirect
1260. C11#36749semidirect

Maximal subgroups

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

subgroupindex
#130769652
#130769252
#130763902
#130763882
#130763872
#130763832
#130763602
#130760932
#130760892
#130757442
#130757412
#130755962
#130755952
#130754932
#130754892
#130749302
#130749252
#130747312
#130745872
#130738382
#130738362
#130723162
#130723112
#130722842
#130722802
#130722782
#130722762
#130712272
#130712102
D11×#3882
C11×#27882
#3674911