Finite Group Databasebeta

← #14917653

Subgroups — #14917653

Order 2816.

2234 conjugacy classes of subgroups.

The subgroup lattice has 1474 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623165C211yesmaximal, characteristic
2#13071780C211yesmaximal, characteristic, complemented
3#13071779C211yesmaximal, characteristic, complemented
4#13071777C211yesmaximal, characteristic, complemented
5#13071776C211yesmaximal, characteristic, complemented
6#13071695C211yesmaximal, characteristic, complemented
7#13071693C211yesmaximal, characteristic, complemented
8#13071646C211yesmaximal, characteristic, complemented
9#13071643C211yesmaximal, characteristic, complemented
10#13071642C211yesmaximal, characteristic, complemented
11#13071639C211yesmaximal, characteristic, complemented
12#13071618C211yesmaximal, characteristic, complemented
13#13071617C211yesmaximal, characteristic, complemented
14#13071466C211yesmaximal, characteristic
15#13071464C211yesmaximal, characteristic
16#13071464C211yesmaximal, characteristic
17#13071462C211yesmaximal, characteristic
18#13071374C211yesmaximal, characteristic, complemented
19#13071370C211yesmaximal, characteristic, complemented
20#13071367C211yesmaximal, characteristic, complemented
21#13071366C211yesmaximal, characteristic, complemented
22#13071350C211yesmaximal, characteristic, complemented
23#13071345C211yesmaximal, characteristic, complemented
24#13071293C211yesmaximal, characteristic, complemented
25#13071293C211yesmaximal, characteristic, complemented
26#13071291C211yesmaximal, characteristic, complemented
27#13071210C211yesmaximal, characteristic
28C4×#66949C211yesmaximal, characteristic, complemented
29#13071146C211yesmaximal, characteristic, complemented
30D11×#388C211yesmaximal, characteristic
31C11×#2323C211yesmaximal, characteristic, complemented
32C2×C11×C22⋊Q8C2211yescharacteristic
33C2×C4×Q8×C11C2211yescharacteristic, complemented
34C2×C11×#117C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×#66999C2211yescharacteristic
37C22×(C2×D11)⋊C4C2211yescharacteristic
38C2×#66977C2211yescharacteristic
39#10623165C4116yescomplemented
40C2×#66950C2211yescharacteristic
41C2×#66950C2211yescharacteristic
42C2×#66949C2211yescharacteristic
43C2×#66949C2211yescharacteristic
44C2×#66949C2211yescharacteristic
45C2×#66949C2211yescharacteristic
46C2×#66945C2211yescharacteristic
47C2×#66945C2211yescharacteristic
48C2×C4⋊C4×D11C2211yescharacteristic
49C2×#66940C2211yescharacteristic, complemented
50C2×#66940C2211yescharacteristic, complemented
51C2×C22⋊C4×D11C2211yescharacteristic
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×C22⋊C4×D11C2211yescharacteristic
54C2×C22⋊C4×D11C2211yescharacteristic
55C2×#66931C2211yescharacteristic
56C2×#66931C2211yescharacteristic
57C2×#66930C2211yescharacteristic
58C2×C42×D11C2211yescharacteristic
59C2×C4×Dic22C2211yescharacteristic, complemented
60C11×#391C2211yescharacteristic, complemented
61C11×#389C2211yescharacteristic, complemented
62C11×#389C2211yescharacteristic, complemented
63C11×#389C2211yescharacteristic, complemented
64C11×#388C2211yescharacteristic
65C11×#388C2211yescharacteristic
66C11×#388C2211yescharacteristic
67C11×#388C2211yescharacteristic
68C11×#387C2211yescharacteristic, complemented
69C11×#387C2211yescharacteristic, complemented
70C11×#380C2211yescharacteristic
71C4×C11×C4⋊C4C2211yescharacteristic, complemented
72#10622843C2211yescharacteristic, complemented
73#10622843C2211yescharacteristic, complemented
74#10622824C2211yescharacteristic
75C4×C22⋊Dic11C2211yescharacteristic
76#10622603C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622603C2211yescharacteristic
80#10622603C2211yescharacteristic
81#10622603C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622602C2211yescharacteristic
87#10622602C2211yescharacteristic
88#10622600C2211yescharacteristic
89#10622594C2211yescharacteristic, complemented
90#10622594C2211yescharacteristic, complemented
91#10622594C2211yescharacteristic, complemented
92#10622594C2211yescharacteristic, complemented
93#10622591C2211yescharacteristic, complemented
94#10622591C2211yescharacteristic, complemented
95#10622591C2211yescharacteristic, complemented
96C4⋊C4×Dic11C2211yescharacteristic, complemented
97C4⋊C4×Dic11C2211yescharacteristic, complemented
98C4⋊C4×Dic11C2211yescharacteristic, complemented
99C4⋊C4×Dic11C2211yescharacteristic, complemented
100C4⋊C4×Dic11C2211yescharacteristic, complemented
101#10622587C2211yescharacteristic, complemented
102#10622587C2211yescharacteristic, complemented
103#10622586C2211yescharacteristic, complemented
104#10622585C2211yescharacteristic, complemented
105#10622585C2211yescharacteristic, complemented
106#10622585C2211yescharacteristic, complemented
107#10622585C2211yescharacteristic, complemented
108#10622585C2211yescharacteristic, complemented
109#10622568C2211yescharacteristic
110#10622568C2211yescharacteristic
111#10622564C2211yescharacteristic
112#10622564C2211yescharacteristic
113#10622564C2211yescharacteristic
114#10622564C2211yescharacteristic
115#10622558C2211yescharacteristic
116#10622558C2211yescharacteristic
117#10622558C2211yescharacteristic
118#10622558C2211yescharacteristic
119#10622557C2211yescharacteristic
120#10622557C2211yescharacteristic
121#10622557C2211yescharacteristic
122#10622557C2211yescharacteristic
123#10622556C2211yescharacteristic
124#10622555C2211yescharacteristic
125C22⋊C4×Dic11C2211yescharacteristic
126#10622553C2211yescharacteristic
127#10622553C2211yescharacteristic
128#10622553C2211yescharacteristic
129#10622553C2211yescharacteristic
130C4×(C2×D11)⋊C4C2211yescharacteristic
131C4×(C2×D11)⋊C4C2211yescharacteristic
132C4×(C2×D11)⋊C4C2211yescharacteristic
133C4×(C2×D11)⋊C4C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic
137#10622546C2211yescharacteristic, complemented
138#10622546C2211yescharacteristic, complemented
139#10622546C2211yescharacteristic, complemented
140C4×Dic11⋊C4C2211yescharacteristic, complemented
141C4×Dic11⋊C4C2211yescharacteristic, complemented
142C4×Dic11⋊C4C2211yescharacteristic, complemented
143C4×Dic11⋊C4C2211yescharacteristic, complemented
144C4×Dic11⋊C4C2211yescharacteristic, complemented
145#10622542C2211yescharacteristic, complemented
146#10622541C2211yescharacteristic, complemented
147#10622541C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622282C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622282C2211yescharacteristic
153#10622282C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622280C2211yescharacteristic
157#10622280C2211yescharacteristic
158#10622280C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622279C2211yescharacteristic
164#10622277C2211yescharacteristic
165#10622277C2211yescharacteristic
166D11×#95C2211yescharacteristic
167D11×#95C2211yescharacteristic
168#10622268C2211yescharacteristic, complemented
169#10622268C2211yescharacteristic, complemented
170#10622268C2211yescharacteristic, complemented
171#10622267C2211yescharacteristic, complemented
172#10622267C2211yescharacteristic, complemented
173#10622267C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622266C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622265C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622260C2211yescharacteristic, complemented
182#10622259C2211yescharacteristic, complemented
183#10622259C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C11×C22⋊Q8C2×C418yescomplemented
204C4×Q8×C11—42no—
205C11×#117—42no—
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×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊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×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235#66999C2×C418yes—
236#66999C2×C418yescomplemented
237C2×(C2×D11)⋊C4C2×C418yes—
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×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265#66977C2×C418yescomplemented
266C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302#66950C2×C418yes—
303#66950C2×C418yescomplemented
304#66949C2×C418yes—
305#66949C2×C418yes—
306#66949C2×C418yescomplemented
307#66949C2×C418yescomplemented
308#66945—42no—
309#66945—42no—
310C4⋊C4×D11—42no—
311#66940—42no—
312#66940—42no—
313C22⋊C4×D11—42no—
314C22⋊C4×D11—42no—
315C22⋊C4×D11C2×C418yes—
316C22⋊C4×D11C2×C418yes—
317#66931C2×C418yescomplemented
318#66931C2×C418yescomplemented
319#66930—42no—
320C42×D11—42no—
321C4×Dic22—42no—
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
369C11⋊#95C2311yescharacteristic
370#34433—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C23×D11—22no—
373C23×D11—22no—
374C23×D11—41no—
375C23×D11—41no—
376C23×D11—41no—
377C23×D11—41no—
378C23×D11C22×C414yes—
379C23×D11C2411yescharacteristic
380C23×D11C2411yescharacteristic
381C2×Q8×C11—41no—
382C2×Q8×C11—41no—
383C2×Q8×C11C22×C414yes—
384C22×C4×C11—41no—
385C22×C4×C11—41no—
386C22×C4×C11C22×C414yes—
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×Dic11—41no—
402C22×Dic11—41no—
403C22×Dic11C22×C414yes—
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C2×C4×D11—22no—
419C2×C4×D11—22no—
420C2×C4×D11—22no—
421C2×C4×D11—22no—
422C2×C4×D11—22no—
423C2×C4×D11—22no—
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×D11—41no—
432C2×C4×D11—41no—
433C2×C4×D11—41no—
434C2×C4×D11—41no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×C4×D11—41no—
438C2×C4×D11C22×C414yes—
439C2×C4×D11C22×C414yes—
440C2×C4×D11C22×C414yes—
441C2×C4×D11C22×C414yes—
442C2×Dic22—41no—
443C2×Dic22—41no—
444C2×Dic22—41no—
445C2×Dic22—41no—
446C2×Dic22—41no—
447C2×Dic22—41no—
448C2×Dic22C22×C414yes—
449C2×Dic22C22×C414yes—
450C2×Dic22C22×C414yes—
451C11×C4⋊C4—22no—
452C11×C4⋊C4—22no—
453C11×C4⋊C4—22no—
454C11×C4⋊C4—41no—
455C11×C4⋊C4—41no—
456C11×C4⋊C4—41no—
457C11×C4⋊C4—41no—
458C11×C4⋊C4—41no—
459C11×C4⋊C4C22×C414yes—
460C11×C4⋊C4C22×C414yes—
461C11×C4⋊C4C22×C414yes—
462C11×C22⋊C4—22no—
463C11×C22⋊C4—41no—
464C11×C22⋊C4—41no—
465C11×C22⋊C4—41no—
466C11×C22⋊C4C22×C414yes—
467C11×C22⋊C4C22×C414yes—
468C42×C11—22no—
469C42×C11—41no—
470C42×C11—41no—
471C42×C11—41no—
472C42×C11—41no—
473C42×C11—41no—
474C22⋊Dic11—22no—
475C22⋊Dic11—41no—
476C22⋊Dic11—41no—
477C22⋊Dic11—41no—
478C22⋊Dic11C22×C414yes—
479C22⋊Dic11C22×C414yes—
480(C2×D11)⋊C4—22no—
481(C2×D11)⋊C4—22no—
482(C2×D11)⋊C4—22no—
483(C2×D11)⋊C4—22no—
484(C2×D11)⋊C4—22no—
485(C2×D11)⋊C4—22no—
486(C2×D11)⋊C4—41no—
487(C2×D11)⋊C4—41no—
488(C2×D11)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491(C2×D11)⋊C4—41no—
492(C2×D11)⋊C4C22×C414yes—
493(C2×D11)⋊C4C22×C414yes—
494(C2×D11)⋊C4C22×C414yes—
495(C2×D11)⋊C4C22×C414yes—
496(C2×D11)⋊C4C22×C414yes—
497(C2×D11)⋊C4C22×C414yes—
498(C2×D11)⋊C4C22×C414yes—
499(C2×D11)⋊C4C22×C414yes—
500C4⋊Dic11—22no—
501C4⋊Dic11—41no—
502C4⋊Dic11—41no—
503C4⋊Dic11—41no—
504C4⋊Dic11C22×C414yes—
505C4⋊Dic11C22×C414yes—
506C4⋊Dic11C22×C414yes—
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⋊C4C22×C414yes—
520Dic11⋊C4C22×C414yes—
521Dic11⋊C4C22×C414yes—
522Dic11⋊C4C22×C414yes—
523Dic11⋊C4C22×C414yes—
524Dic11⋊C4C22×C414yes—
525C4×Dic11—22no—
526C4×Dic11—22no—
527C4×Dic11—22no—
528C4×Dic11—22no—
529C4×Dic11—22no—
530C4×Dic11—41no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534C4×Dic11—41no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539C4×Dic11—41no—
540C4×Dic11—41no—
541C4×Dic11—41no—
542C4×Dic11—41no—
543C2×#543—111no—
544#2378—111no—
545#2378—111no—
546#2378—111no—
547#2378—111no—
548#2368—111no—
549#2368—111no—
550#2362—111no—
551#2362—111no—
552#2362—111no—
553#2362—111no—
554#2360—111no—
555#2360—111no—
556#2342—111no—
557#2342—111no—
558#2342—111no—
559#2342—111no—
560#2332—111no—
561#2332—111no—
562#2332—111no—
563#2332—111no—
564#2329—111no—
565#2329—111no—
566#2323—111no—
567#2323—111no—
568#2323—111no—
569#2323D1111yescharacteristic, complemented
570#2312—111no—
571C4×C22⋊Q8—111no—
572C4×C22⋊Q8—111no—
573C2×#388—111no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11—21no—
580C23×C11C23×C412yes—
581C23×C11C2511yescharacteristic
582C22×D11—21no—
583C22×D11—21no—
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—28no—
593C22×D11—44no—
594C22×D11—44no—
595C22×D11—82no—
596C22×D11—82no—
597C22×D11—82no—
598C22×D11—82no—
599C22×D11C23×C412yes—
600C22×D11C23×C412yes—
601C22×D112−1+412yes—
602C22×D112−1+412yes—
603Q8×C11—44no—
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—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—44no—
640C2×C4×C11C23×C412yes—
641C2×C4×C11C23×C412yes—
642C2×C4×C11C23×C412yes—
643C2×C4×C11C23×C412yes—
644C2×C4×C11C23×C412yes—
645C2×C4×C11C23×C412yes—
646C2×C4×C11H(5,𝔽2)12yes—
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—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—44no—
683C2×Dic11C23×C412yes—
684C2×Dic11C23×C412yes—
685C2×Dic11C23×C412yes—
686C2×Dic11C23×C412yes—
687C2×Dic11C23×C412yes—
688C2×Dic11C23×C412yes—
689C2×Dic11H(5,𝔽2)12yes—
690C4×D11—44no—
691C4×D11—44no—
692C4×D11—44no—
693C4×D11—44no—
694C4×D11—44no—
695C4×D11—44no—
696C4×D11—82no—
697C4×D11—82no—
698Dic22—44no—
699Dic22—44no—
700Dic22—44no—
701#543—1116no—
702C2×C22⋊Q8—111no—
703C2×C22⋊Q8—111no—
704C2×C22⋊Q8—111no—
705C2×C22⋊Q8—111no—
706C2×C22⋊Q8—111no—
707C2×C22⋊Q8—111no—
708C2×C22⋊Q8—111no—
709C2×C22⋊Q8—111no—
710C2×C22⋊Q8—111no—
711C2×C22⋊Q8—111no—
712C2×C22⋊Q8—111no—
713C2×C22⋊Q8C2×D1111yescharacteristic
714C2×C4×Q8—111no—
715C2×C4×Q8—111no—
716C2×C4×Q8—111no—
717C2×C4×Q8C2×D1111yescharacteristic, complemented
718C2×#117—111no—
719C2×#117—111no—
720C2×#117—111no—
721C2×#117C2×D1111yescharacteristic
722C22×C4⋊C4—111no—
723C22×C22⋊C4—111no—
724C22×C22⋊C4—111no—
725C22×C22⋊C4—111no—
726C22×C22⋊C4—111no—
727C22×C22⋊C4—111no—
728C22×C42—111no—
729#391—111no—
730#391—111no—
731#391—111no—
732#391—111no—
733#391—111no—
734#391—111no—
735#391—111no—
736#391—111no—
737#391—111no—
738#391—111no—
739#391—111no—
740#391C2×D1111yescharacteristic, complemented
741#389—111no—
742#389—111no—
743#389—111no—
744#389—111no—
745#389—111no—
746#389—111no—
747#389—111no—
748#389—111no—
749#389—111no—
750#389C2×D1111yescharacteristic, complemented
751#389C2×D1111yescharacteristic, complemented
752#389C2×D1111yescharacteristic, complemented
753#388—111no—
754#388—111no—
755#388—111no—
756#388—111no—
757#388—111no—
758#388—111no—
759#388—111no—
760#388—111no—
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388—111no—
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#388C2×D1111yescharacteristic
782#388C2×D1111yescharacteristic
783#388C2×D1111yescharacteristic
784#388C2×D1111yescharacteristic
785#387—111no—
786#387—111no—
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#387—111no—
799#387—111no—
800#387—111no—
801#387—111no—
802#387—111no—
803#387—111no—
804#387—111no—
805#387—111no—
806#387—111no—
807#387C2×D1111yescharacteristic, complemented
808#387C2×D1111yescharacteristic, complemented
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#381—111no—
818#381—111no—
819#381—111no—
820#381—111no—
821#380—111no—
822#380—111no—
823#380—111no—
824#380—111no—
825#380—111no—
826#380C2×D1111yescharacteristic
827#379—111no—
828#379—111no—
829C4×C4⋊C4—111no—
830C4×C4⋊C4—111no—
831C4×C4⋊C4—111no—
832C4×C4⋊C4—111no—
833C4×C4⋊C4—111no—
834C4×C4⋊C4—111no—
835C4×C4⋊C4—111no—
836C4×C4⋊C4—111no—
837C4×C4⋊C4—111no—
838C4×C4⋊C4—111no—
839C4×C4⋊C4—111no—
840C4×C4⋊C4C2×D1111yescharacteristic, complemented
841C4×C22⋊C4—111no—
842C4×C22⋊C4—111no—
843C4×C22⋊C4—111no—
844C4×C22⋊C4—111no—
845C4×C22⋊C4—111no—
846C4×C22⋊C4—111no—
847C4×C22⋊C4—111no—
848C4×C22⋊C4—111no—
849C4×C22⋊C4—111no—
850C4×C22⋊C4—111no—
851C4×C22⋊C4—111no—
852C4×C22⋊C4—111no—
853C4×C22⋊C4—111no—
854C4×C22⋊C4—111no—
855C2×#95—111no—
856C2×#95—111no—
857C22×C11—22no—
858C22×C11—22no—
859C22×C11—22no—
860C22×C11—41no—
861C22×C11—41no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11C24×C411yescharacteristic
865C22×C11C2×H(5,𝔽2)11yescharacteristic
866C22×C11C2×H(5,𝔽2)11yescharacteristic
867C22×C11C2×2−1+411yescharacteristic
868C22×C11C2×2−1+411yescharacteristic
869C22×C11#58511yescharacteristic
870C22×C11#58511yescharacteristic
871C2×D11—22no—
872C2×D11—22no—
873C2×D11—22no—
874C2×D11—22no—
875C2×D11—22no—
876C2×D11—22no—
877C2×D11—22no—
878C2×D11—22no—
879C2×D11—22no—
880C2×D11—41no—
881C2×D11—41no—
882C2×D11—41no—
883C2×D11—41no—
884C2×D11—88no—
885C2×D11#51914yes—
886C4×C11—22no—
887C4×C11—22no—
888C4×C11—22no—
889C4×C11—22no—
890C4×C11—22no—
891C4×C11—22no—
892C4×C11—22no—
893C4×C11—41no—
894C4×C11—41no—
895C4×C11—41no—
896C4×C11—41no—
897C4×C11—41no—
898C4×C11—41no—
899C4×C11—41no—
900Dic11—22no—
901Dic11—22no—
902Dic11—22no—
903Dic11—22no—
904Dic11—22no—
905Dic11—22no—
906Dic11—22no—
907Dic11—41no—
908Dic11—41no—
909Dic11—41no—
910Dic11—41no—
911Dic11—41no—
912Dic11—41no—
913Dic11—41no—
914C25—111no—
915C22×Q8—111no—
916C22×Q8—111no—
917C22×Q8—111no—
918C22×Q8C22×D1111yescharacteristic
919C23×C4—111no—
920C23×C4—111no—
921C23×C4—111no—
922C23×C4—111no—
923C23×C4—111no—
924C23×C4—111no—
925C23×C4—111no—
926C23×C4—111no—
927C23×C4—111no—
928C23×C4C22×D1111yescharacteristic
929C22⋊Q8—118no—
930C22⋊Q8—118no—
931C22⋊Q8—118no—
932C22⋊Q8—118no—
933C22⋊Q8—118no—
934C22⋊Q8—118no—
935C22⋊Q8—118no—
936C22⋊Q8—118no—
937C22⋊Q8—118no—
938C22⋊Q8—118no—
939C22⋊Q8—118no—
940C22⋊Q8C4×D1118yescomplemented
941C4×Q8—42no—
942C4×Q8—442no—
943C4×Q8—442no—
944C4×Q8—442no—
945#117—42no—
946#117—442no—
947#117—442no—
948#117—442no—
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—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—442no—
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×C4⋊C4C22×D1111yescharacteristic
985C2×C4⋊C4C22×D1111yescharacteristic
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—118no—
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—118no—
998C2×C22⋊C4—118no—
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—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—442no—
1016C2×C22⋊C4—442no—
1017C2×C22⋊C4C22×D1111yescharacteristic
1018C2×C22⋊C4C22×D1111yescharacteristic
1019C2×C22⋊C4C22×D1111yescharacteristic
1020C2×C22⋊C4C22×D1111yescharacteristic
1021C2×C22⋊C4C22×D1111yescharacteristic
1022C2×C22⋊C4C22×D1111yescharacteristic
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—111no—
1028C2×C42—111no—
1029C2×C42—111no—
1030C2×C42—111no—
1031C2×C42—111no—
1032C2×C42—111no—
1033C2×C42—111no—
1034C2×C42—111no—
1035C2×C42—111no—
1036C2×C42—111no—
1037C2×C42—111no—
1038C2×C42—111no—
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—442no—
1042C2×C42C22×D1111yescharacteristic
1043C2×C42C22×D1111yescharacteristic
1044C2×C42C22×D1111yescharacteristic
1045C2×C42C22×D1111yescharacteristic
1046C2×C42C22×D1111yescharacteristic
1047C2×C42C22×D1111yescharacteristic
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#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
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#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093#95C22×D1111yescharacteristic
1094#95C22×D1111yescharacteristic
1095#95C22×D1111yescharacteristic
1096C2×C11—42no—
1097C2×C11C2×#51911yescharacteristic
1098C2×C11C4×H(5,𝔽2)11yescharacteristic
1099C2×C11C4×H(5,𝔽2)11yescharacteristic
1100C2×C11#353511yescharacteristic
1101C2×C11#353611yescharacteristic
1102C2×C11#356111yescharacteristic
1103C2×C11#356411yescharacteristic
1104D11—24no—
1105D11—42no—
1106C24—111no—
1107C24—111no—
1108C24—114no—
1109C24—222no—
1110C24—222no—
1111C24—441no—
1112C24—441no—
1113C24—441no—
1114C24—441no—
1115C24C23×D1111yescharacteristic
1116C2×Q8—41no—
1117C2×Q8—41no—
1118C2×Q8—114no—
1119C2×Q8—114no—
1120C2×Q8—114no—
1121C2×Q8—441no—
1122C2×Q8—441no—
1123C2×Q8—441no—
1124C2×Q8—441no—
1125C2×Q8—441no—
1126C2×Q8—441no—
1127C2×Q8C2×C4×D1114yes—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—111no—
1131C22×C4—111no—
1132C22×C4—111no—
1133C22×C4—111no—
1134C22×C4—111no—
1135C22×C4—111no—
1136C22×C4—111no—
1137C22×C4—114no—
1138C22×C4—114no—
1139C22×C4—114no—
1140C22×C4—114no—
1141C22×C4—114no—
1142C22×C4—111no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—222no—
1150C22×C4—222no—
1151C22×C4—222no—
1152C22×C4—222no—
1153C22×C4—222no—
1154C22×C4—222no—
1155C22×C4—441no—
1156C22×C4—441no—
1157C22×C4—441no—
1158C22×C4—441no—
1159C22×C4—441no—
1160C22×C4—441no—
1161C22×C4—441no—
1162C22×C4—441no—
1163C22×C4—441no—
1164C22×C4—441no—
1165C22×C4—441no—
1166C22×C4—441no—
1167C22×C4—441no—
1168C22×C4—441no—
1169C22×C4—441no—
1170C22×C4—441no—
1171C22×C4C2×C4×D1114yes—
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1111yescharacteristic
1174C22×C4C23×D1111yescharacteristic
1175C22×C4C23×D1111yescharacteristic
1176C22×C4C23×D1111yescharacteristic
1177C22×C4C23×D1111yescharacteristic
1178C22×C4C23×D1111yescharacteristic
1179C22×C4C23×D1111yescharacteristic
1180C22×C4C23×D1111yescharacteristic
1181C22×C4C23×D1111yescharacteristic
1182C22×C4C23×D1111yescharacteristic
1183C22×C4C23×D1111yescharacteristic
1184C22×C4C23×D1111yescharacteristic
1185C22×C4C23×D1111yescharacteristic
1186C4⋊C4—22no—
1187C4⋊C4—22no—
1188C4⋊C4—22no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—114no—
1195C4⋊C4—114no—
1196C4⋊C4—114no—
1197C4⋊C4—114no—
1198C4⋊C4—114no—
1199C4⋊C4—114no—
1200C4⋊C4—114no—
1201C4⋊C4—114no—
1202C4⋊C4—114no—
1203C4⋊C4—222no—
1204C4⋊C4—222no—
1205C4⋊C4—222no—
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⋊C4C2×C4×D1114yes—
1220C4⋊C4C2×C4×D1114yes—
1221C4⋊C4C2×C4×D1114yes—
1222C22⋊C4—22no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—114no—
1227C22⋊C4—114no—
1228C22⋊C4—114no—
1229C22⋊C4—114no—
1230C22⋊C4—114no—
1231C22⋊C4—114no—
1232C22⋊C4—114no—
1233C22⋊C4—114no—
1234C22⋊C4—114no—
1235C22⋊C4—114no—
1236C22⋊C4—222no—
1237C22⋊C4—222no—
1238C22⋊C4—222no—
1239C22⋊C4—222no—
1240C22⋊C4—222no—
1241C22⋊C4—222no—
1242C22⋊C4—222no—
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⋊C4—441no—
1252C22⋊C4C2×C4×D1114yes—
1253C22⋊C4C2×C4×D1114yes—
1254C42—22no—
1255C42—41no—
1256C42—41no—
1257C42—41no—
1258C42—41no—
1259C42—41no—
1260C42—222no—
1261C42—222no—
1262C42—222no—
1263C42—222no—
1264C42—222no—
1265C42—441no—
1266C42—441no—
1267C42—441no—
1268C42—441no—
1269C42—441no—
1270C42—441no—
1271C42—441no—
1272C42—441no—
1273C42—441no—
1274C42—441no—
1275C42—441no—
1276C42—441no—
1277C42—441no—
1278C11#3443311yescharacteristic, complemented, Sylow
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—112no—
1286C23—112no—
1287C23—112no—
1288C23—112no—
1289C23—228no—
1290C23—221no—
1291C23—221no—
1292C23—221no—
1293C23—221no—
1294C23—221no—
1295C23—221no—
1296C23—221no—
1297C23—221no—
1298C23—221no—
1299C23—221no—
1300C23—444no—
1301C23—444no—
1302C23—882no—
1303C23—882no—
1304C23—882no—
1305C23—882no—
1306C23C22×C4×D1112yes—
1307C23C24×D1111yescharacteristic
1308Q8—44no—
1309Q8—444no—
1310Q8—444no—
1311Q8—444no—
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—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—44no—
1348C2×C4—112no—
1349C2×C4—112no—
1350C2×C4—112no—
1351C2×C4—112no—
1352C2×C4—112no—
1353C2×C4—112no—
1354C2×C4—112no—
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—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—444no—
1391C2×C4—444no—
1392C2×C4—444no—
1393C2×C4—444no—
1394C2×C4—444no—
1395C2×C4—444no—
1396C2×C4—444no—
1397C2×C4—882no—
1398C2×C4—882no—
1399C2×C4C22×C4×D1112yes—
1400C2×C4C22×C4×D1112yes—
1401C2×C4C22×C4×D1112yes—
1402C2×C4C22×C4×D1112yes—
1403C2×C4C22×C4×D1112yes—
1404C2×C4C22×C4×D1112yes—
1405C2×C4#6703712yes—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—114no—
1414C22—222no—
1415C22—222no—
1416C22—222no—
1417C22—222no—
1418C22—222no—
1419C22—222no—
1420C22—222no—
1421C22—222no—
1422C22—222no—
1423C22—441no—
1424C22—441no—
1425C22—441no—
1426C22—441no—
1427C22—888no—
1428C22C23×C4×D1111yescharacteristic
1429C22C2×#6703711yescharacteristic
1430C22#1062345311yescharacteristic
1431C22D11×H(5,𝔽2)11yescharacteristic
1432C22D11×2−1+411yescharacteristic
1433C22D11×2−1+411yescharacteristic
1434C22#1062345711yescharacteristic
1435C4—22no—
1436C4—22no—
1437C4—22no—
1438C4—22no—
1439C4—22no—
1440C4—22no—
1441C4—22no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—222no—
1450C4—222no—
1451C4—222no—
1452C4—222no—
1453C4—222no—
1454C4—222no—
1455C4—222no—
1456C4—441no—
1457C4—441no—
1458C4—441no—
1459C4—441no—
1460C4—441no—
1461C4—441no—
1462C4—441no—
1463C2—42no—
1464C2—224no—
1465C2—442no—
1466C2D11×#51911yescharacteristic
1467C2C4×#6703711yescharacteristic
1468C2#1308182211yescharacteristic
1469C2#1308281811yescharacteristic
1470C2#1308283311yescharacteristic
1471C2#1308317711yescharacteristic
1472C2#1308322911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2323C2
socle, cosocleC23×C11C25
prime radicalC24×D11C23
hypercenter#2323D11
hypocenterC11#34433
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2323

Complements

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

NH ≅ G/Ntype
2. #13071780C2semidirect
3. #13071779C2semidirect
4. #13071777C2semidirect
5. #13071776C2semidirect
6. #13071695C2semidirect
7. #13071693C2semidirect
8. #13071646C2semidirect
9. #13071643C2semidirect
10. #13071642C2semidirect
11. #13071639C2semidirect
12. #13071618C2semidirect
13. #13071617C2semidirect
18. #13071374C2semidirect
19. #13071370C2semidirect
20. #13071367C2semidirect
21. #13071366C2semidirect
22. #13071350C2semidirect
23. #13071345C2semidirect
24. #13071293C2semidirect
25. #13071293C2semidirect
26. #13071291C2semidirect
28. C4×#66949C2semidirect
29. #13071146C2semidirect
31. C11×#2323C2semidirect
33. C2×C4×Q8×C11C22semidirect
39. #10623165C4semidirect
49. C2×#66940C22semidirect
50. C2×#66940C22semidirect
59. C2×C4×Dic22C22semidirect
60. C11×#391C22semidirect
61. C11×#389C22semidirect
62. C11×#389C22semidirect
63. C11×#389C22semidirect
68. C11×#387C22semidirect
69. C11×#387C22semidirect
71. C4×C11×C4⋊C4C22semidirect
72. #10622843C22semidirect
73. #10622843C22semidirect
89. #10622594C22semidirect
90. #10622594C22semidirect
91. #10622594C22semidirect
92. #10622594C22semidirect
93. #10622591C22semidirect
94. #10622591C22semidirect
95. #10622591C22semidirect
96. C4⋊C4×Dic11C22semidirect
97. C4⋊C4×Dic11C22semidirect
98. C4⋊C4×Dic11C22semidirect
99. C4⋊C4×Dic11C22semidirect
100. C4⋊C4×Dic11C22semidirect
101. #10622587C22semidirect
102. #10622587C22semidirect
103. #10622586C22semidirect
104. #10622585C22semidirect
105. #10622585C22semidirect
106. #10622585C22semidirect
107. #10622585C22semidirect
108. #10622585C22semidirect
137. #10622546C22semidirect
138. #10622546C22semidirect
139. #10622546C22semidirect
140. C4×Dic11⋊C4C22semidirect
141. C4×Dic11⋊C4C22semidirect
142. C4×Dic11⋊C4C22semidirect
143. C4×Dic11⋊C4C22semidirect
144. C4×Dic11⋊C4C22semidirect
145. #10622542C22semidirect
146. #10622541C22semidirect
147. #10622541C22semidirect
168. #10622268C22semidirect
169. #10622268C22semidirect
170. #10622268C22semidirect
171. #10622267C22semidirect
172. #10622267C22semidirect
173. #10622267C22semidirect
174. #10622267C22semidirect
175. #10622266C22semidirect
176. #10622266C22semidirect
177. #10622265C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622262C22semidirect
181. #10622260C22semidirect
182. #10622259C22semidirect
183. #10622259C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
203. C11×C22⋊Q8C2×C4semidirect
236. #66999C2×C4semidirect
265. #66977C2×C4semidirect
303. #66950C2×C4semidirect
306. #66949C2×C4semidirect
307. #66949C2×C4semidirect
317. #66931C2×C4semidirect
318. #66931C2×C4semidirect
569. #2323D11semidirect
717. C2×C4×Q8C2×D11semidirect
740. #391C2×D11semidirect
750. #389C2×D11semidirect
751. #389C2×D11semidirect
752. #389C2×D11semidirect
807. #387C2×D11semidirect
808. #387C2×D11semidirect
840. C4×C4⋊C4C2×D11semidirect
940. C22⋊Q8C4×D11semidirect
1278. C11#34433semidirect

Maximal subgroups

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

subgroupindex
C2×#106231652
#130717802
#130717792
#130717772
#130717762
#130716952
#130716932
#130716462
#130716432
#130716422
#130716392
#130716182
#130716172
#130714662
#130714642
#130714622
#130713742
#130713702
#130713672
#130713662
#130713502
#130713452
#130712932
#130712912
#130712102
C4×#669492
#130711462
D11×#3882
C11×#23232
#3443311