Finite Group Databasebeta

← #14921823

Subgroups — #14921823

Order 2816.

2464 conjugacy classes of subgroups.

The subgroup lattice has 1484 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623153C211yesmaximal, characteristic, complemented
2C2×C4×Q8×D11C211yesmaximal, characteristic, complemented
3#13072763C211yesmaximal, characteristic, complemented
4#13072755C211yesmaximal, characteristic, complemented
5#13072637C211yesmaximal, characteristic, complemented
6#13072600C211yesmaximal, characteristic, complemented
7#13072592C211yesmaximal, characteristic, complemented
8#13072452C211yesmaximal, characteristic, complemented
9#13072424C211yesmaximal, characteristic
10#13072422C211yesmaximal, characteristic
11#13072389C211yesmaximal, characteristic, complemented
12#13072311C211yesmaximal, characteristic, complemented
13#13072255C211yesmaximal, characteristic, complemented
14#13072212C211yesmaximal, characteristic, complemented
15#13072138C211yesmaximal, characteristic, complemented
16#13072060C211yesmaximal, characteristic
17#13071974C211yesmaximal, characteristic
18#13071906C211yesmaximal, characteristic, complemented
19#13071906C211yesmaximal, characteristic, complemented
20#13071891C211yesmaximal, characteristic, complemented
21#13071883C211yesmaximal, characteristic, complemented
22#13071187C211yesmaximal, characteristic, complemented
23#13071154C211yesmaximal, characteristic, complemented
24#13071150C211yesmaximal, characteristic, complemented
25#13071150C211yesmaximal, characteristic, complemented
26#13071148C211yesmaximal, characteristic, complemented
27#13071089C211yesmaximal, characteristic, complemented
28#13071058C211yesmaximal, characteristic
29#13071058C211yesmaximal, characteristic
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic
31C11×#2465C211yesmaximal, characteristic, complemented
32C22×Q8×D11C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic
34C2×C4×Q8×C11C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×Q8×Dic11C2211yescharacteristic
37C2×Q8×Dic11C2211yescharacteristic
38C2×#66997C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×#66977C2211yescharacteristic
41C22×C4×Dic11C2211yescharacteristic
42#10623153—28no—
43C4×Q8×D11—28no—
44C2×#66949C2211yescharacteristic
45C2×#66949C2211yescharacteristic
46C2×C4⋊C4×D11C2211yescharacteristic
47C2×C4⋊C4×D11C2211yescharacteristic
48C2×C4⋊C4×D11C2211yescharacteristic
49C2×#66942C2211yescharacteristic
50C2×#66942C2211yescharacteristic
51C2×#66941C2211yescharacteristic
52C2×#66941C2211yescharacteristic
53C2×#66940C2211yescharacteristic
54C2×#66940C2211yescharacteristic
55C2×#66940C2211yescharacteristic
56C2×#66940C2211yescharacteristic
57C2×#66940C2211yescharacteristic
58C2×(C22⋊D11)⋊C4C2211yescharacteristic
59C2×(C22⋊D11)⋊C4C2211yescharacteristic
60C2×#66931C2211yescharacteristic
61C2×#66931C2211yescharacteristic
62C2×#66931C2211yescharacteristic
63C2×#66930C2211yescharacteristic
64C2×#66930C2211yescharacteristic
65C2×C42×D11C2211yescharacteristic
66C2×C42×D11C2211yescharacteristic
67C2×C42×D11C2211yescharacteristic
68C2×C4×Dic22C2211yescharacteristic
69C2×C4×Dic22C2211yescharacteristic
70C2×C4×Dic22C2211yescharacteristic
71C11×#396C2211yescharacteristic
72C11×#395C2211yescharacteristic
73C11×#395C2211yescharacteristic
74C11×#393C2211yescharacteristic
75C11×#391C2211yescharacteristic
76C11×#389C2211yescharacteristic
77C11×#388C2211yescharacteristic
78C11×#388C2211yescharacteristic
79C11×#387C2211yescharacteristic
80C11×#387C2211yescharacteristic
81C11×#387C2211yescharacteristic
82C11×#385C2211yescharacteristic
83C4×C11×C22⋊C4C2211yescharacteristic
84#10622842C2211yescharacteristic
85#10622842C2211yescharacteristic
86#10622842C2211yescharacteristic
87#10622823C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic
91#10622602C2211yescharacteristic
92#10622600C2211yescharacteristic
93#10622597C2211yescharacteristic
94#10622597C2211yescharacteristic
95#10622597C2211yescharacteristic
96#10622597C2211yescharacteristic
97#10622597C2211yescharacteristic
98#10622596C2211yescharacteristic
99#10622596C2211yescharacteristic
100#10622596C2211yescharacteristic
101#10622594C2211yescharacteristic
102#10622592C2211yescharacteristic
103#10622591C2211yescharacteristic
104#10622589C2211yescharacteristic
105C4⋊C4×Dic11C2211yescharacteristic
106C4⋊C4×Dic11C2211yescharacteristic
107C4⋊C4×Dic11C2211yescharacteristic
108C4⋊C4×Dic11C2211yescharacteristic
109C4⋊C4×Dic11C2211yescharacteristic
110#10622585C2211yescharacteristic
111#10622585C2211yescharacteristic
112#10622585C2211yescharacteristic
113#10622585C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622564C2211yescharacteristic
119#10622564C2211yescharacteristic
120#10622562C2211yescharacteristic
121#10622562C2211yescharacteristic
122#10622561C2211yescharacteristic
123#10622561C2211yescharacteristic
124#10622561C2211yescharacteristic
125#10622560C2211yescharacteristic
126#10622555C2211yescharacteristic
127C22⋊C4×Dic11C2211yescharacteristic
128C22⋊C4×Dic11C2211yescharacteristic
129C22⋊C4×Dic11C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131C4×(C2×D11)⋊C4C2211yescharacteristic
132#10622546C2211yescharacteristic
133#10622546C2211yescharacteristic
134#10622546C2211yescharacteristic
135#10622546C2211yescharacteristic
136#10622546C2211yescharacteristic
137C4×Dic11⋊C4C2211yescharacteristic
138C42×Dic11C2211yescharacteristic
139#10622541C2211yescharacteristic
140#10622541C2211yescharacteristic
141#10622281C2211yescharacteristic
142#10622281C2211yescharacteristic
143#10622281C2211yescharacteristic
144#10622281C2211yescharacteristic
145#10622281C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622280C2211yescharacteristic
148#10622280C2211yescharacteristic
149#10622279C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622274C2211yescharacteristic
154#10622274C2211yescharacteristic
155#10622272C2211yescharacteristic
156#10622271C2211yescharacteristic
157#10622270C2211yescharacteristic
158#10622270C2211yescharacteristic
159#10622269C2211yescharacteristic
160#10622269C2211yescharacteristic
161#10622269C2211yescharacteristic
162#10622269C2211yescharacteristic
163#10622268C2211yescharacteristic
164#10622268C2211yescharacteristic
165#10622266C2211yescharacteristic
166#10622265C2211yescharacteristic
167#10622265C2211yescharacteristic
168#10622265C2211yescharacteristic
169#10622262C2211yescharacteristic
170#10622262C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622261C2211yescharacteristic
178#10622261C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188#10622259C2211yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C2×Q8×D11—24no—
196C2×Q8×D11—24no—
197C2×Q8×D11—24no—
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×Dic22C2311yescharacteristic
206C22×Dic22C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C22×Dic22C2311yescharacteristic
209C22×Dic22C2311yescharacteristic
210C11×C22⋊Q8—24no—
211C4×Q8×C11—24no—
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237#66999—24no—
238Q8×Dic11—24no—
239Q8×Dic11—24no—
240#66997—24no—
241C4×C22⋊D11—24no—
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×C4⋊Dic11C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260#66977—24no—
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×C4×Dic11—24no—
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
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312#66949—24no—
313#66949—24no—
314C4⋊C4×D11—24no—
315C4⋊C4×D11—24no—
316C4⋊C4×D11—24no—
317#66942—24no—
318#66942—24no—
319#66941—24no—
320#66941—24no—
321#66940—24no—
322#66940—24no—
323#66940—24no—
324#66940—24no—
325#66940D418yescomplemented
326(C22⋊D11)⋊C4—24no—
327(C22⋊D11)⋊C4Q818yescomplemented
328#66931—24no—
329#66931—24no—
330#66931—24no—
331#66930—24no—
332#66930—24no—
333C42×D11—24no—
334C42×D11—24no—
335C42×D11—24no—
336C4×Dic22—24no—
337C4×Dic22—24no—
338C4×Dic22—24no—
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
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383#34691—111nomaximal, Sylow
384C24×C11C2411yescharacteristic
385C23×D11C2411yescharacteristic
386C2×Q8×C11—22no—
387C2×Q8×C11—22no—
388C2×Q8×C11—22no—
389C2×Q8×C11—22no—
390C2×Q8×C11—22no—
391C2×Q8×C11—41no—
392C22×C4×C11—22no—
393C22×C4×C11—22no—
394C22×C4×C11—41no—
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
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11C2×Q814yes—
412C22×Dic11—22no—
413C22×Dic11—22no—
414C22×Dic11—22no—
415C22×Dic11—22no—
416C22×Dic11—22no—
417C22×Dic11C2×Q814yescomplemented
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433Q8×D11—232no—
434C2×C4×D11—22no—
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—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11C2×Q814yes—
454C2×C4×D11#4114yes—
455C2×Dic22—22no—
456C2×Dic22—22no—
457C2×Dic22—22no—
458C2×Dic22—22no—
459C2×Dic22—22no—
460C2×Dic22—22no—
461C2×Dic22—22no—
462C2×Dic22—22no—
463C2×Dic22—22no—
464C2×Dic22—22no—
465C2×Dic22—22no—
466C2×Dic22—22no—
467C2×Dic22—41no—
468C2×Dic22C2×D414yes—
469C2×Dic22#4114yes—
470C11×C4⋊C4—22no—
471C11×C4⋊C4—22no—
472C11×C4⋊C4—22no—
473C11×C4⋊C4—22no—
474C11×C4⋊C4—22no—
475C11×C4⋊C4—22no—
476C11×C4⋊C4—22no—
477C11×C4⋊C4—41no—
478C11×C4⋊C4—41no—
479C11×C4⋊C4C2×D414yes—
480C11×C22⋊C4—22no—
481C11×C22⋊C4—22no—
482C11×C22⋊C4—22no—
483C11×C22⋊C4—22no—
484C11×C22⋊C4—41no—
485C11×C22⋊C4C2×Q814yescomplemented
486C42×C11—22no—
487C42×C11—22no—
488C42×C11—22no—
489C42×C11—41no—
490C22⋊Dic11—22no—
491C22⋊Dic11—22no—
492C22⋊Dic11—22no—
493C22⋊Dic11—22no—
494C22⋊Dic11—41no—
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)⋊C4C2×Q814yes—
501(C2×D11)⋊C4#4114yes—
502C4⋊Dic11—22no—
503C4⋊Dic11—22no—
504C4⋊Dic11—22no—
505C4⋊Dic11—22no—
506C4⋊Dic11—22no—
507C4⋊Dic11—22no—
508C4⋊Dic11—22no—
509C4⋊Dic11—22no—
510C4⋊Dic11—22no—
511C4⋊Dic11—41no—
512C4⋊Dic11—41no—
513Dic11⋊C4—22no—
514Dic11⋊C4—22no—
515Dic11⋊C4—22no—
516Dic11⋊C4—22no—
517Dic11⋊C4—22no—
518Dic11⋊C4—22no—
519Dic11⋊C4—22no—
520Dic11⋊C4—22no—
521Dic11⋊C4—22no—
522Dic11⋊C4—22no—
523Dic11⋊C4—22no—
524Dic11⋊C4—22no—
525Dic11⋊C4—22no—
526Dic11⋊C4—22no—
527Dic11⋊C4—22no—
528Dic11⋊C4—22no—
529Dic11⋊C4—22no—
530Dic11⋊C4—22no—
531Dic11⋊C4—22no—
532Dic11⋊C4—22no—
533Dic11⋊C4—22no—
534Dic11⋊C4—22no—
535Dic11⋊C4—22no—
536Dic11⋊C4—22no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4C2×D414yes—
540Dic11⋊C4C2×D414yes—
541Dic11⋊C4C2×Q814yescomplemented
542C4×Dic11—22no—
543C4×Dic11—22no—
544C4×Dic11—22no—
545C4×Dic11—22no—
546C4×Dic11—22no—
547C4×Dic11—22no—
548C4×Dic11—22no—
549C4×Dic11—22no—
550C4×Dic11—22no—
551C4×Dic11—22no—
552C4×Dic11—22no—
553C4×Dic11—22no—
554C4×Dic11—22no—
555C4×Dic11—22no—
556C4×Dic11—22no—
557C4×Dic11—22no—
558C4×Dic11—22no—
559C4×Dic11C2×D414yes—
560C4×Dic11C2×D414yes—
561C4×Dic11C2×D414yes—
562C4×Dic11C2×Q814yescomplemented
563C2×#533—111no—
564C22×C4×Q8—111no—
565#2473—111no—
566#2473—111no—
567#2465—111no—
568#2465D1111yescharacteristic, complemented
569#2462—111no—
570#2462—111no—
571#2451—111no—
572#2449—111no—
573#2449—111no—
574#2446—111no—
575#2440—111no—
576#2434—111no—
577#2429—111no—
578#2423—111no—
579#2417—111no—
580#2409—111no—
581#2399—111no—
582#2399—111no—
583#2396—111no—
584#2396—111no—
585C4×C4⋊Q8—111no—
586C4×C22⋊Q8—111no—
587C4×C22⋊Q8—111no—
588C4×C22⋊Q8—111no—
589C4×C22⋊Q8—111no—
590#2295—111no—
591#2290—111no—
592#2290—111no—
593C42×D4—111no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11C22×Q812yes—
601C23×C11C2511yescharacteristic
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11C22×Q812yes—
607C22×D11C2×#4112yes—
608C22×D11C2×#4112yes—
609Q8×C11—28no—
610Q8×C11—44no—
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—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—44no—
646C2×C4×C11C22×D412yes—
647C2×C4×C11C22×D412yes—
648C2×C4×C11C22×D412yes—
649C2×C4×C11C22×Q812yes—
650C2×C4×C11C22×Q812yes—
651C2×C4×C11C2×#4112yes—
652C2×C4×C11C2×#4112yes—
653C2×C4×C11C2×#4112yes—
654C22⋊D11—28no—
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—28no—
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—44no—
690C2×Dic11C22×D412yes—
691C2×Dic11C22×D412yes—
692C2×Dic11C22×D412yes—
693C2×Dic11C22×D412yes—
694C2×Dic11C22×Q812yes—
695C2×Dic11C22×Q812yes—
696C2×Dic11C22×Q812yes—
697C2×Dic11C2×#4112yes—
698C2×Dic11C2×#4112yes—
699C2×Dic11C2×#4112yes—
700C2×Dic11C2×#4112yes—
701C2×Dic112−1+412yes—
702C4×D11—28no—
703C4×D11—28no—
704C4×D11—28no—
705C4×D11—28no—
706C4×D11—44no—
707C4×D11—44no—
708C4×D11—44no—
709Dic22—28no—
710Dic22—28no—
711Dic22—28no—
712Dic22—44no—
713Dic22—44no—
714C23×Q8—111no—
715#533—228no—
716C2×C4⋊Q8—111no—
717C2×C4⋊Q8—111no—
718C2×C4⋊Q8—111no—
719C2×#125—111no—
720C2×#125—111no—
721C2×C22⋊Q8—111no—
722C2×C22⋊Q8—111no—
723C2×C22⋊Q8—111no—
724C2×C22⋊Q8—111no—
725C2×C22⋊Q8—111no—
726C2×C22⋊Q8—111no—
727C2×C22⋊Q8—111no—
728C2×C22⋊Q8C2×D1111yescharacteristic
729C2×C4×Q8—111no—
730C2×C4×Q8—111no—
731C2×C4×Q8—111no—
732C2×C4×Q8—111no—
733C2×C4×Q8—111no—
734C2×C4×Q8—111no—
735C2×C4×Q8—111no—
736C2×C4×Q8—111no—
737C2×C4×Q8—111no—
738C2×C4×Q8—111no—
739C2×C4×Q8—228no—
740C2×C4×Q8C2×D1111yescharacteristic
741C2×C4×D4—111no—
742C2×C4×D4—111no—
743C2×C4×D4—111no—
744C2×#117—111no—
745C2×#117—111no—
746C22×C4⋊C4—111no—
747C22×C4⋊C4—111no—
748C22×C4⋊C4—111no—
749C22×C42—111no—
750C22×C42—111no—
751C22×C42—111no—
752C22×C42—111no—
753#400—111no—
754#400—111no—
755#399—111no—
756#399—111no—
757#398—111no—
758#398—111no—
759#398—111no—
760#398—111no—
761#398—111no—
762#398—111no—
763#398—111no—
764#398—111no—
765#398—111no—
766#398—111no—
767#398—111no—
768#398—111no—
769#396—111no—
770#396—111no—
771#396—111no—
772#396C2×D1111yescharacteristic
773#395—111no—
774#395—111no—
775#395—111no—
776#395—111no—
777#395—111no—
778#395—111no—
779#395—111no—
780#395—111no—
781#395C2×D1111yescharacteristic
782#395C2×D1111yescharacteristic
783#393—111no—
784#393C2×D1111yescharacteristic
785#391—111no—
786#391—111no—
787#391—111no—
788#391—111no—
789#391—111no—
790#391—111no—
791#391—111no—
792#391C2×D1111yescharacteristic
793#389—111no—
794#389—111no—
795#389—111no—
796#389—111no—
797#389—111no—
798#389—111no—
799#389—111no—
800#389—111no—
801#389—111no—
802#389C2×D1111yescharacteristic
803#388—111no—
804#388—111no—
805#388C2×D1111yescharacteristic
806#388C2×D1111yescharacteristic
807#387—111no—
808#387—111no—
809#387—111no—
810#387—111no—
811#387—111no—
812#387—111no—
813#387—111no—
814#387—111no—
815#387—111no—
816#387—111no—
817#387—111no—
818#387—111no—
819#387—111no—
820#387C2×D1111yescharacteristic
821#387C2×D1111yescharacteristic
822#387C2×D1111yescharacteristic
823#386—111no—
824#386—111no—
825#386—111no—
826#386—111no—
827#385—111no—
828#385—111no—
829#385—111no—
830#385—111no—
831#385—111no—
832#385—111no—
833#385—111no—
834#385—111no—
835#385—111no—
836#385—111no—
837#385—111no—
838#385C2×D1111yescharacteristic
839#384—111no—
840#380—111no—
841#380—111no—
842#380—111no—
843#380—111no—
844C4×C4⋊C4—111no—
845C4×C4⋊C4—111no—
846C4×C4⋊C4—111no—
847C4×C4⋊C4—111no—
848C4×C4⋊C4—111no—
849C4×C4⋊C4—111no—
850C4×C4⋊C4—111no—
851C4×C4⋊C4—111no—
852C4×C4⋊C4—111no—
853C4×C4⋊C4—111no—
854C4×C4⋊C4—111no—
855C4×C4⋊C4—111no—
856C4×C4⋊C4—111no—
857C4×C4⋊C4—111no—
858C4×C22⋊C4—111no—
859C4×C22⋊C4—111no—
860C4×C22⋊C4—111no—
861C4×C22⋊C4—111no—
862C4×C22⋊C4—111no—
863C4×C22⋊C4—111no—
864C4×C22⋊C4—111no—
865C4×C22⋊C4—111no—
866C4×C22⋊C4—111no—
867C4×C22⋊C4C2×D1111yescharacteristic
868#376—111no—
869#376—111no—
870C43—111no—
871C22×C11—22no—
872C22×C11—22no—
873C22×C11—22no—
874C22×C11—41no—
875C22×C11—41no—
876C22×C11—41no—
877C22×C11—41no—
878C22×C11C23×D411yescharacteristic
879C22×C11C23×Q811yescharacteristic
880C22×C11C22×#4111yescharacteristic
881C22×C11C22×#4111yescharacteristic
882C22×C11C22×#4111yescharacteristic
883C22×C11C2×2−1+411yescharacteristic
884C22×C11#58511yescharacteristic
885C2×D11—22no—
886C2×D11—22no—
887C2×D11—22no—
888C2×D11—22no—
889C2×D11—22no—
890C2×D11—22no—
891C2×D11#53314yescomplemented
892C4×C11—22no—
893C4×C11—22no—
894C4×C11—22no—
895C4×C11—22no—
896C4×C11—22no—
897C4×C11—22no—
898C4×C11—22no—
899C4×C11—22no—
900C4×C11—41no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906Dic11—22no—
907Dic11—22no—
908Dic11—22no—
909Dic11—22no—
910Dic11—22no—
911Dic11—22no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11#52514yes—
920Dic11D4×Q814yes—
921C22×Q8—111no—
922C22×Q8—111no—
923C22×Q8—111no—
924C22×Q8—111no—
925C22×Q8—111no—
926C22×Q8—224no—
927C22×Q8—224no—
928C22×Q8—224no—
929C22×Q8C22×D1111yescharacteristic
930C22×Q8C22×D1111yescharacteristic
931C22×D4—111no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—111no—
935C23×C4—111no—
936C23×C4—111no—
937C23×C4—111no—
938C23×C4—111no—
939C23×C4—111no—
940C23×C4—111no—
941C23×C4C22×D1111yescharacteristic
942C4⋊Q8—224no—
943C4⋊Q8—224no—
944C4⋊Q8—224no—
945#125—224no—
946#125—224no—
947C22⋊Q8—24no—
948C22⋊Q8—224no—
949C22⋊Q8—224no—
950C22⋊Q8—224no—
951C22⋊Q8—224no—
952C22⋊Q8—224no—
953C22⋊Q8—224no—
954C22⋊Q8—224no—
955C4×Q8—24no—
956C4×Q8—118no—
957C4×Q8—224no—
958C4×Q8—224no—
959C4×Q8—224no—
960C4×Q8—224no—
961C4×Q8—224no—
962C4×Q8—224no—
963C4×Q8—224no—
964C4×Q8—224no—
965C4×Q8—224no—
966C4×D4—118no—
967C4×D4—224no—
968C4×D4—224no—
969#117—224no—
970#117—224no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
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—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—224no—
1012C2×C4⋊C4—224no—
1013C2×C4⋊C4—224no—
1014C2×C4⋊C4C22×D1111yescharacteristic
1015C2×C4⋊C4C22×D1111yescharacteristic
1016C2×C4⋊C4C22×D1111yescharacteristic
1017C2×C4⋊C4C22×D1111yescharacteristic
1018C2×C4⋊C4C22×D1111yescharacteristic
1019C2×C4⋊C4C22×D1111yescharacteristic
1020C2×C4⋊C4C22×D1111yescharacteristic
1021C2×C4⋊C4C22×D1111yescharacteristic
1022C2×C4⋊C4C22×D1111yescharacteristic
1023C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4C22×D1111yescharacteristic
1037C2×C22⋊C4C22×D1111yescharacteristic
1038C2×C22⋊C4C22×D1111yescharacteristic
1039C2×C22⋊C4C22×D1111yescharacteristic
1040C2×C22⋊C4C22×D1111yescharacteristic
1041C2×C22⋊C4C22×D1111yescharacteristic
1042C2×C42—111no—
1043C2×C42—111no—
1044C2×C42—111no—
1045C2×C42—111no—
1046C2×C42—111no—
1047C2×C42—111no—
1048C2×C42—111no—
1049C2×C42—111no—
1050C2×C42—111no—
1051C2×C42—111no—
1052C2×C42—111no—
1053C2×C42—111no—
1054C2×C42—111no—
1055C2×C42—111no—
1056C2×C42—111no—
1057C2×C42—111no—
1058C2×C42—111no—
1059C2×C42—111no—
1060C2×C42—111no—
1061C2×C42—111no—
1062C2×C42—111no—
1063C2×C42—224no—
1064C2×C42—224no—
1065C2×C42—224no—
1066C2×C42—224no—
1067C2×C42C22×D1111yescharacteristic
1068C2×C42C22×D1111yescharacteristic
1069C2×C42C22×D1111yescharacteristic
1070C2×C42C22×D1111yescharacteristic
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#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#95C22×D1111yescharacteristic
1104#95C22×D1111yescharacteristic
1105#95C22×D1111yescharacteristic
1106#95C22×D1111yescharacteristic
1107#95C22×D1111yescharacteristic
1108#95C22×D1111yescharacteristic
1109#95C22×D1111yescharacteristic
1110#95C22×D1111yescharacteristic
1111#95C22×D1111yescharacteristic
1112#95C22×D1111yescharacteristic
1113#95C22×D1111yescharacteristic
1114#95C22×D1111yescharacteristic
1115C2×C11—42no—
1116C2×C11C2×#52511yescharacteristic
1117C2×C11C2×#53311yescharacteristic
1118C2×C11#346111yescharacteristic
1119C2×C11C2×D4×Q811yescharacteristic
1120C2×C11D4×#4111yescharacteristic
1121C2×C11Q8×#4111yescharacteristic
1122C2×C11#348211yescharacteristic
1123D11—24no—
1124C24—111no—
1125C24C23×D1111yescharacteristic
1126C2×Q8—22no—
1127C2×Q8—22no—
1128C2×Q8—22no—
1129C2×Q8—22no—
1130C2×Q8—22no—
1131C2×Q8—41no—
1132C2×Q8—114no—
1133C2×Q8—114no—
1134C2×Q8—222no—
1135C2×Q8—222no—
1136C2×Q8—222no—
1137C2×Q8—222no—
1138C2×Q8—222no—
1139C2×Q8—222no—
1140C2×Q8—222no—
1141C2×Q8—222no—
1142C2×Q8—222no—
1143C2×Q8—222no—
1144C2×Q8—2232no—
1145C2×Q8—222no—
1146C2×Q8—222no—
1147C2×Q8—441no—
1148C2×D4—114no—
1149C2×D4—222no—
1150C2×D4—222no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—41no—
1154C22×C4—111no—
1155C22×C4—111no—
1156C22×C4—114no—
1157C22×C4—111no—
1158C22×C4—111no—
1159C22×C4—111no—
1160C22×C4—111no—
1161C22×C4—111no—
1162C22×C4—111no—
1163C22×C4—114no—
1164C22×C4—114no—
1165C22×C4—111no—
1166C22×C4—111no—
1167C22×C4—111no—
1168C22×C4—111no—
1169C22×C4—111no—
1170C22×C4—111no—
1171C22×C4—111no—
1172C22×C4—222no—
1173C22×C4—222no—
1174C22×C4—222no—
1175C22×C4—222no—
1176C22×C4—222no—
1177C22×C4—222no—
1178C22×C4—222no—
1179C22×C4—222no—
1180C22×C4—222no—
1181C22×C4—222no—
1182C22×C4—222no—
1183C22×C4—222no—
1184C22×C4—222no—
1185C22×C4—222no—
1186C22×C4—222no—
1187C22×C4—222no—
1188C22×C4—222no—
1189C22×C4—222no—
1190C22×C4—222no—
1191C22×C4—222no—
1192C22×C4—222no—
1193C22×C4—441no—
1194C22×C4—441no—
1195C22×C4—441no—
1196C22×C4C23×D1111yescharacteristic
1197C22×C4C23×D1111yescharacteristic
1198C22×C4C23×D1111yescharacteristic
1199C22×C4C23×D1111yescharacteristic
1200C22×C4C23×D1111yescharacteristic
1201C22×C4C23×D1111yescharacteristic
1202C22×C4C23×D1111yescharacteristic
1203C22×C4C23×D1111yescharacteristic
1204C22×C4C23×D1111yescharacteristic
1205C22×C4C23×D1111yescharacteristic
1206C22×C4C23×D1111yescharacteristic
1207C22×C4C23×D1111yescharacteristic
1208C22×C4C23×D1111yescharacteristic
1209C22×C4C23×D1111yescharacteristic
1210C4⋊C4—22no—
1211C4⋊C4—22no—
1212C4⋊C4—22no—
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—114no—
1220C4⋊C4—114no—
1221C4⋊C4—114no—
1222C4⋊C4—222no—
1223C4⋊C4—222no—
1224C4⋊C4—222no—
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—222no—
1234C4⋊C4—222no—
1235C4⋊C4—222no—
1236C4⋊C4—222no—
1237C4⋊C4—222no—
1238C4⋊C4—222no—
1239C4⋊C4—222no—
1240C4⋊C4—222no—
1241C4⋊C4—222no—
1242C4⋊C4—222no—
1243C4⋊C4—222no—
1244C4⋊C4—222no—
1245C4⋊C4—222no—
1246C4⋊C4—222no—
1247C4⋊C4—222no—
1248C4⋊C4—222no—
1249C4⋊C4—222no—
1250C4⋊C4—222no—
1251C4⋊C4—222no—
1252C4⋊C4—222no—
1253C4⋊C4—222no—
1254C4⋊C4—222no—
1255C4⋊C4—441no—
1256C4⋊C4—441no—
1257C4⋊C4—441no—
1258C4⋊C4—441no—
1259C4⋊C4D4×D1114yes—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—41no—
1265C22⋊C4—114no—
1266C22⋊C4—114no—
1267C22⋊C4—222no—
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—441no—
1277C22⋊C4Q8×D1114yescomplemented
1278C42—22no—
1279C42—22no—
1280C42—22no—
1281C42—41no—
1282C42—114no—
1283C42—114no—
1284C42—114no—
1285C42—114no—
1286C42—222no—
1287C42—222no—
1288C42—222no—
1289C42—222no—
1290C42—222no—
1291C42—222no—
1292C42—222no—
1293C42—222no—
1294C42—222no—
1295C42—222no—
1296C42—222no—
1297C42—222no—
1298C42—222no—
1299C42—222no—
1300C42—222no—
1301C42—222no—
1302C42—222no—
1303C11#3469111yescharacteristic, complemented, Sylow
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—112no—
1311C23—112no—
1312C23—112no—
1313C23—221no—
1314C23—221no—
1315C23—221no—
1316C23—221no—
1317C23C2×Q8×D1112yes—
1318C23C24×D1111yescharacteristic
1319Q8—28no—
1320Q8—44no—
1321Q8—228no—
1322Q8—228no—
1323Q8—228no—
1324Q8—444no—
1325Q8—444no—
1326D4—228no—
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—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—44no—
1362C2×C4—112no—
1363C2×C4—112no—
1364C2×C4—112no—
1365C2×C4—112no—
1366C2×C4—112no—
1367C2×C4—112no—
1368C2×C4—112no—
1369C2×C4—112no—
1370C2×C4—112no—
1371C2×C4—112no—
1372C2×C4—112no—
1373C2×C4—112no—
1374C2×C4—228no—
1375C2×C4—228no—
1376C2×C4—228no—
1377C2×C4—228no—
1378C2×C4—228no—
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—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—221no—
1412C2×C4—444no—
1413C2×C4—444no—
1414C2×C4—444no—
1415C2×C4—444no—
1416C2×C4C2×D4×D1112yes—
1417C2×C4C2×D4×D1112yes—
1418C2×C4C2×D4×D1112yes—
1419C2×C4C2×Q8×D1112yes—
1420C2×C4C2×Q8×D1112yes—
1421C2×C4#41×D1112yes—
1422C2×C4#41×D1112yes—
1423C2×C4#41×D1112yes—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—114no—
1432C22—222no—
1433C22—222no—
1434C22—222no—
1435C22—222no—
1436C22—222no—
1437C22—222no—
1438C22C22×D4×D1111yescharacteristic
1439C22C22×Q8×D1111yescharacteristic
1440C22C2×#41×D1111yescharacteristic
1441C22C2×#41×D1111yescharacteristic
1442C22C2×#41×D1111yescharacteristic
1443C22#1062345511yescharacteristic
1444C22D11×2−1+411yescharacteristic
1445C4—22no—
1446C4—22no—
1447C4—22no—
1448C4—22no—
1449C4—22no—
1450C4—22no—
1451C4—22no—
1452C4—22no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—114no—
1460C4—114no—
1461C4—222no—
1462C4—222no—
1463C4—222no—
1464C4—222no—
1465C4—222no—
1466C4—222no—
1467C4—441no—
1468C4—441no—
1469C4—441no—
1470C4—441no—
1471C4—441no—
1472C4—441no—
1473C4—441no—
1474C2—42no—
1475C2—224no—
1476C2D11×#52511yescharacteristic
1477C2D11×#53311yescharacteristic
1478C2#1308204211yescharacteristic
1479C2D4×Q8×D1111yescharacteristic
1480C2#1308210011yescharacteristic
1481C2#1308219511yescharacteristic
1482C2#1308223511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2465C2
prime radicalC22×C22⋊D11C23
hypercenter#2465D11
hypocenterC11#34691
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2465

Complements

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

NH ≅ G/Ntype
1. C2×#10623153C2semidirect
2. C2×C4×Q8×D11C2semidirect
3. #13072763C2semidirect
4. #13072755C2semidirect
5. #13072637C2semidirect
6. #13072600C2semidirect
7. #13072592C2semidirect
8. #13072452C2semidirect
11. #13072389C2semidirect
12. #13072311C2semidirect
13. #13072255C2semidirect
14. #13072212C2semidirect
15. #13072138C2semidirect
18. #13071906C2semidirect
19. #13071906C2semidirect
20. #13071891C2semidirect
21. #13071883C2semidirect
22. #13071187C2semidirect
23. #13071154C2semidirect
24. #13071150C2semidirect
25. #13071150C2semidirect
26. #13071148C2semidirect
27. #13071089C2semidirect
31. C11×#2465C2semidirect
325. #66940D4semidirect
327. (C22⋊D11)⋊C4Q8semidirect
417. C22×Dic11C2×Q8semidirect
485. C11×C22⋊C4C2×Q8semidirect
541. Dic11⋊C4C2×Q8semidirect
562. C4×Dic11C2×Q8semidirect
568. #2465D11semidirect
891. C2×D11#533semidirect
1277. C22⋊C4Q8×D11semidirect
1303. C11#34691semidirect

Maximal subgroups

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

subgroupindex
C2×#106231532
C2×C4×Q8×D112
#130727632
#130727552
#130726372
#130726002
#130725922
#130724522
#130724242
#130724222
#130723892
#130723112
#130722552
#130722122
#130721382
#130720602
#130719742
#130719062
#130718912
#130718832
#130711872
#130711542
#130711502
#130711482
#130710892
#130710582
C4×(C22⋊D11)⋊C42
C11×#24652
#3469111