Finite Group Databasebeta

← #14925566

Subgroups — #14925566

Order 2816.

2308 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×#10623219C211yesmaximal, characteristic, complemented
2C2×#10623153C211yesmaximal, characteristic, complemented
3#13073702C211yesmaximal, characteristic, complemented
4#13073700C211yesmaximal, characteristic, complemented
5#13073694C211yesmaximal, characteristic, complemented
6#13073641C211yesmaximal, characteristic, complemented
7#13073600C211yesmaximal, characteristic, complemented
8#13073564C211yesmaximal, characteristic
9#13073533C211yesmaximal, characteristic
10#13073131C211yesmaximal, characteristic, complemented
11#13073129C211yesmaximal, characteristic, complemented
12#13072989C211yesmaximal, characteristic, complemented
13#13072987C211yesmaximal, characteristic, complemented
14#13072465C211yesmaximal, characteristic
15#13072463C211yesmaximal, characteristic
16#13072214C211yesmaximal, characteristic, complemented
17#13072212C211yesmaximal, characteristic, complemented
18#13071893C211yesmaximal, characteristic, complemented
19#13071891C211yesmaximal, characteristic, complemented
20#13071887C211yesmaximal, characteristic, complemented
21#13071885C211yesmaximal, characteristic, complemented
22#13071187C211yesmaximal, characteristic, complemented
23#13071187C211yesmaximal, characteristic, complemented
24#13071185C211yesmaximal, characteristic, complemented
25#13071150C211yesmaximal, characteristic, complemented
26#13071148C211yesmaximal, characteristic, complemented
27#13071076C211yesmaximal, characteristic
28#13071076C211yesmaximal, characteristic
29C4×#66940C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic
31C11×#2556C211yesmaximal, characteristic, complemented
32C2×C11×#125C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic
34C2×Q8×Dic11C2211yescharacteristic
35C2×#66997C2211yescharacteristic
36C2×#66997C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C2×#66977C2211yescharacteristic
39C22×C4×Dic11C2211yescharacteristic
40#10623219—28no—
41#10623153—28no—
42C2×#66949C2211yescharacteristic
43C2×#66949C2211yescharacteristic
44C2×#66949C2211yescharacteristic
45C2×#66949C2211yescharacteristic
46C2×#66949C2211yescharacteristic
47C2×#66945C2211yescharacteristic
48C2×#66945C2211yescharacteristic
49C2×#66942C2211yescharacteristic
50C2×#66942C2211yescharacteristic
51C2×#66941C2211yescharacteristic
52C2×#66941C2211yescharacteristic
53C2×#66941C2211yescharacteristic
54C2×#66941C2211yescharacteristic
55C2×#66941C2211yescharacteristic
56C2×#66940C2211yescharacteristic
57C2×#66940C2211yescharacteristic
58C2×#66940C2211yescharacteristic
59C2×#66940C2211yescharacteristic
60C2×#66940C2211yescharacteristic
61C2×#66940C2211yescharacteristic
62C2×#66940C2211yescharacteristic
63C2×(C22⋊D11)⋊C4C2211yescharacteristic
64C2×(C22⋊D11)⋊C4C2211yescharacteristic
65C2×#66931C2211yescharacteristic
66C2×#66931C2211yescharacteristic
67C2×#66931C2211yescharacteristic
68C2×#66930C2211yescharacteristic
69C2×#66930C2211yescharacteristic
70C2×C42×D11C2211yescharacteristic
71C2×#66923C2211yescharacteristic
72C2×C4×Dic22C2211yescharacteristic
73C11×#399C2211yescharacteristic
74C11×#398C2211yescharacteristic
75C11×#396C2211yescharacteristic
76C11×#395C2211yescharacteristic
77C11×#391C2211yescharacteristic
78C11×#389C2211yescharacteristic
79C11×#389C2211yescharacteristic
80C11×#388C2211yescharacteristic
81C11×#388C2211yescharacteristic
82C11×#387C2211yescharacteristic
83C11×#385C2211yescharacteristic
84C4×C11×C4⋊C4C2211yescharacteristic
85C4×C11×C22⋊C4C2211yescharacteristic
86#10622844C2211yescharacteristic
87#10622823C2211yescharacteristic
88#10622607C2211yescharacteristic
89#10622607C2211yescharacteristic
90#10622607C2211yescharacteristic
91#10622607C2211yescharacteristic
92#10622605C2211yescharacteristic
93#10622602C2211yescharacteristic
94#10622599C2211yescharacteristic
95#10622597C2211yescharacteristic
96#10622597C2211yescharacteristic
97#10622596C2211yescharacteristic
98#10622595C2211yescharacteristic
99#10622593C2211yescharacteristic
100#10622593C2211yescharacteristic
101#10622592C2211yescharacteristic
102#10622591C2211yescharacteristic
103#10622589C2211yescharacteristic
104#10622589C2211yescharacteristic
105#10622589C2211yescharacteristic
106C4⋊C4×Dic11C2211yescharacteristic
107C4⋊C4×Dic11C2211yescharacteristic
108C4⋊C4×Dic11C2211yescharacteristic
109C4⋊C4×Dic11C2211yescharacteristic
110C4⋊C4×Dic11C2211yescharacteristic
111C4⋊C4×Dic11C2211yescharacteristic
112#10622585C2211yescharacteristic
113#10622585C2211yescharacteristic
114#10622585C2211yescharacteristic
115#10622585C2211yescharacteristic
116#10622585C2211yescharacteristic
117#10622585C2211yescharacteristic
118#10622585C2211yescharacteristic
119#10622570C2211yescharacteristic
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic
123#10622564C2211yescharacteristic
124#10622564C2211yescharacteristic
125#10622562C2211yescharacteristic
126#10622561C2211yescharacteristic
127#10622561C2211yescharacteristic
128#10622561C2211yescharacteristic
129#10622560C2211yescharacteristic
130#10622560C2211yescharacteristic
131#10622555C2211yescharacteristic
132C22⋊C4×Dic11C2211yescharacteristic
133C22⋊C4×Dic11C2211yescharacteristic
134C22⋊C4×Dic11C2211yescharacteristic
135C22⋊C4×Dic11C2211yescharacteristic
136#10622553C2211yescharacteristic
137#10622553C2211yescharacteristic
138C4×(C2×D11)⋊C4C2211yescharacteristic
139#10622546C2211yescharacteristic
140C4×Dic11⋊C4C2211yescharacteristic
141C4×Dic11⋊C4C2211yescharacteristic
142C4×Dic11⋊C4C2211yescharacteristic
143C42×Dic11C2211yescharacteristic
144C42×Dic11C2211yescharacteristic
145C42×Dic11C2211yescharacteristic
146#10622542C2211yescharacteristic
147#10622541C2211yescharacteristic
148#10622541C2211yescharacteristic
149#10622290C2211yescharacteristic
150#10622286C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622282C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622280C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622274C2211yescharacteristic
160#10622274C2211yescharacteristic
161#10622273C2211yescharacteristic
162#10622271C2211yescharacteristic
163#10622269C2211yescharacteristic
164#10622269C2211yescharacteristic
165#10622266C2211yescharacteristic
166#10622262C2211yescharacteristic
167#10622262C2211yescharacteristic
168#10622262C2211yescharacteristic
169#10622262C2211yescharacteristic
170#10622262C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622260C2211yescharacteristic
177#10622260C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188#10622259C2211yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×Dic22C2311yescharacteristic
198C22×Dic22C2311yescharacteristic
199C22×Dic22C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C11×#125—24no—
204C11×C22⋊Q8—24no—
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×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233Q8×Dic11—24no—
234#66997—24no—
235#66997—24no—
236C4×C22⋊D11—24no—
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×C4⋊Dic11C2311yescharacteristic
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
258#66977—24no—
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
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
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316#66949—24no—
317#66949—24no—
318#66949—24no—
319#66949—24no—
320#66949—24no—
321#66945—24no—
322#66945—24no—
323#66942—24no—
324#66942—24no—
325#66941—24no—
326#66941—24no—
327#66941—24no—
328#66941—24no—
329#66941—24no—
330#66940—24no—
331#66940—24no—
332#66940—24no—
333#66940—24no—
334#66940—24no—
335#66940—24no—
336#66940D418yescomplemented
337(C22⋊D11)⋊C4—24no—
338(C22⋊D11)⋊C4Q818yescomplemented
339#66931—24no—
340#66931—24no—
341#66931—24no—
342#66930—24no—
343#66930—24no—
344C42×D11—24no—
345#66923—24no—
346C4×Dic22—24no—
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#34929—111nomaximal, Sylow
384C24×C11C2411yescharacteristic
385C23×D11C2411yescharacteristic
386C2×Q8×C11—22no—
387C2×Q8×C11—22no—
388C2×Q8×C11—41no—
389C22×C4×C11—22no—
390C22×C4×C11—22no—
391C22×C4×C11—41no—
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×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C2×C22⋊D11—22no—
407C2×C22⋊D11—22no—
408C2×C22⋊D11C2×Q814yes—
409C22×Dic11—22no—
410C22×Dic11—22no—
411C22×Dic11—22no—
412C22×Dic11—22no—
413C22×Dic11—22no—
414C22×Dic11C2×Q814yes—
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—41no—
438C2×C4×D11C2×Q814yes—
439C2×Dic22—22no—
440C2×Dic22—22no—
441C2×Dic22—22no—
442C2×Dic22—22no—
443C2×Dic22—22no—
444C2×Dic22—22no—
445C2×Dic22—22no—
446C2×Dic22—22no—
447C2×Dic22—22no—
448C2×Dic22—22no—
449C2×Dic22—22no—
450C2×Dic22—22no—
451C2×Dic22—22no—
452C2×Dic22—22no—
453C2×Dic22—41no—
454C2×Dic22—41no—
455C2×Dic22—41no—
456C2×Dic22C2×D414yes—
457C11×C4⋊C4—22no—
458C11×C4⋊C4—22no—
459C11×C4⋊C4—22no—
460C11×C4⋊C4—22no—
461C11×C4⋊C4—22no—
462C11×C4⋊C4—22no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—22no—
465C11×C4⋊C4—22no—
466C11×C4⋊C4—22no—
467C11×C4⋊C4—22no—
468C11×C4⋊C4—41no—
469C11×C4⋊C4C2×D414yes—
470C11×C22⋊C4—22no—
471C11×C22⋊C4—22no—
472C11×C22⋊C4—22no—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4C2×Q814yes—
476C42×C11—22no—
477C42×C11—22no—
478C42×C11—41no—
479C42×C11—41no—
480C22⋊Dic11—22no—
481C22⋊Dic11—22no—
482C22⋊Dic11—22no—
483C22⋊Dic11—22no—
484C22⋊Dic11—41no—
485(C2×D11)⋊C4—22no—
486(C2×D11)⋊C4—22no—
487(C2×D11)⋊C4—22no—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—22no—
492(C2×D11)⋊C4—22no—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495(C2×D11)⋊C4C2×Q814yes—
496C4⋊Dic11—22no—
497C4⋊Dic11—22no—
498C4⋊Dic11—22no—
499C4⋊Dic11—22no—
500C4⋊Dic11—22no—
501C4⋊Dic11—22no—
502C4⋊Dic11—22no—
503C4⋊Dic11—22no—
504C4⋊Dic11—22no—
505C4⋊Dic11—41no—
506Dic11⋊C4—22no—
507Dic11⋊C4—22no—
508Dic11⋊C4—22no—
509Dic11⋊C4—22no—
510Dic11⋊C4—22no—
511Dic11⋊C4—22no—
512Dic11⋊C4—22no—
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⋊C4C2×D414yes—
533Dic11⋊C4C2×D414yes—
534Dic11⋊C4C2×Q814yes—
535Dic11⋊C4#4114yes—
536Dic11⋊C4#4114yes—
537C4×Dic11—22no—
538C4×Dic11—22no—
539C4×Dic11—22no—
540C4×Dic11—22no—
541C4×Dic11—22no—
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—41no—
557C4×Dic11C2×D414yes—
558C4×Dic11C2×D414yes—
559C4×Dic11C2×D414yes—
560C4×Dic11C2×Q814yes—
561C4×Dic11#4114yes—
562C2×#533—111no—
563C2×#533—111no—
564#2556—111no—
565#2556—111no—
566#2556—111no—
567#2556D1111yescharacteristic, complemented
568#2551—111no—
569#2546—111no—
570#2542—111no—
571#2538—111no—
572#2506—111no—
573#2506—111no—
574#2492—111no—
575#2492—111no—
576#2452—111no—
577#2452—111no—
578#2429—111no—
579#2429—111no—
580#2396—111no—
581#2396—111no—
582#2396—111no—
583#2396—111no—
584C4×C4⋊Q8—111no—
585C4×C4⋊Q8—111no—
586C4×C4⋊Q8—111no—
587C4×C22⋊Q8—111no—
588C4×C22⋊Q8—111no—
589#2293—111no—
590#2293—111no—
591C42×Q8—111no—
592C42×D4—111no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11C22×Q812yes—
600C23×C11C2511yescharacteristic
601C22×D11—21no—
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—21no—
607C22×D11C22×Q812yes—
608Q8×C11—44no—
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—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—44no—
644C2×C4×C11C22×D412yes—
645C2×C4×C11C22×D412yes—
646C2×C4×C11C22×D412yes—
647C2×C4×C11C22×Q812yes—
648C2×C4×C11C22×Q812yes—
649C2×C4×C11C2×#4112yes—
650C2×C4×C11C2×#4112yes—
651C2×C4×C11C2×#4112yes—
652C22⋊D11—28no—
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—28no—
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—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—44no—
686C2×Dic11C22×D412yes—
687C2×Dic11C22×D412yes—
688C2×Dic11C22×D412yes—
689C2×Dic11C22×D412yes—
690C2×Dic11C22×Q812yes—
691C2×Dic11C22×Q812yes—
692C2×Dic11C22×Q812yes—
693C2×Dic11C2×#4112yes—
694C2×Dic11C2×#4112yes—
695C2×Dic11C2×#4112yes—
696C2×Dic11C2×#4112yes—
697C2×Dic11C2×#4112yes—
698C2×Dic11C2×#4112yes—
699C2×Dic112−1+412yes—
700C4×D11—28no—
701C4×D11—44no—
702C4×D11—44no—
703Dic22—28no—
704Dic22—44no—
705Dic22—44no—
706Dic22—44no—
707Dic22—44no—
708Dic22—44no—
709#533—228no—
710#533—228no—
711C2×C4⋊Q8—111no—
712C2×C4⋊Q8—111no—
713C2×C4⋊Q8—111no—
714C2×C4⋊Q8—111no—
715C2×C4⋊Q8—111no—
716C2×C4⋊Q8—111no—
717C2×C4⋊Q8—111no—
718C2×#125—111no—
719C2×#125—111no—
720C2×#125—111no—
721C2×#125C2×D1111yescharacteristic
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⋊Q8—111no—
729C2×C22⋊Q8—111no—
730C2×C22⋊Q8—111no—
731C2×C22⋊Q8C2×D1111yescharacteristic
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—111no—
740C2×C4×Q8—111no—
741C2×C4×D4—111no—
742C2×C4×D4—111no—
743C2×C4×D4—111no—
744C2×#117—111no—
745C2×#117—111no—
746C2×#117—111no—
747C2×#117—111no—
748C22×C42—111no—
749C22×C42—111no—
750#400—111no—
751#400—111no—
752#400—111no—
753#400—111no—
754#399—111no—
755#399—111no—
756#399—111no—
757#399C2×D1111yescharacteristic
758#398—111no—
759#398—111no—
760#398—111no—
761#398—111no—
762#398—111no—
763#398—111no—
764#398—111no—
765#398C2×D1111yescharacteristic
766#396—111no—
767#396—111no—
768#396—111no—
769#396—111no—
770#396—111no—
771#396—111no—
772#396—111no—
773#396C2×D1111yescharacteristic
774#395—111no—
775#395—111no—
776#395—111no—
777#395C2×D1111yescharacteristic
778#393—111no—
779#393—111no—
780#393—111no—
781#393—111no—
782#391—111no—
783#391—111no—
784#391—111no—
785#391—111no—
786#391—111no—
787#391—111no—
788#391—111no—
789#391C2×D1111yescharacteristic
790#390—111no—
791#390—111no—
792#390—111no—
793#390—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#389—111no—
803#389—111no—
804#389—111no—
805#389—111no—
806#389—111no—
807#389—111no—
808#389—111no—
809#389—111no—
810#389C2×D1111yescharacteristic
811#389C2×D1111yescharacteristic
812#388—111no—
813#388—111no—
814#388—111no—
815#388—111no—
816#388—111no—
817#388—111no—
818#388C2×D1111yescharacteristic
819#388C2×D1111yescharacteristic
820#387—111no—
821#387—111no—
822#387—111no—
823#387C2×D1111yescharacteristic
824#385—111no—
825#385—111no—
826#385—111no—
827#385C2×D1111yescharacteristic
828#384—111no—
829#384—111no—
830#384—111no—
831#380—111no—
832#380—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⋊C4—111no—
841C4×C4⋊C4—111no—
842C4×C4⋊C4—111no—
843C4×C4⋊C4—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⋊C4C2×D1111yescharacteristic
853C4×C22⋊C4—111no—
854C4×C22⋊C4—111no—
855C4×C22⋊C4—111no—
856C4×C22⋊C4—111no—
857C4×C22⋊C4—111no—
858C4×C22⋊C4—111no—
859C4×C22⋊C4—111no—
860C4×C22⋊C4—111no—
861C4×C22⋊C4—111no—
862C4×C22⋊C4C2×D1111yescharacteristic
863C43—111no—
864C43—111no—
865C43—111no—
866C22×C11—22no—
867C22×C11—22no—
868C22×C11—22no—
869C22×C11—41no—
870C22×C11—41no—
871C22×C11—41no—
872C22×C11—41no—
873C22×C11C23×D411yescharacteristic
874C22×C11C23×Q811yescharacteristic
875C22×C11C22×#4111yescharacteristic
876C22×C11C22×#4111yescharacteristic
877C22×C11C22×#4111yescharacteristic
878C22×C11C2×2−1+411yescharacteristic
879C22×C11#58511yescharacteristic
880C2×D11—22no—
881C2×D11—22no—
882C2×D11—22no—
883C2×D11—41no—
884C2×D11—41no—
885C2×D11—41no—
886C2×D11—41no—
887C4×C11—22no—
888C4×C11—22no—
889C4×C11—22no—
890C4×C11—22no—
891C4×C11—22no—
892C4×C11—22no—
893C4×C11—22no—
894C4×C11—22no—
895C4×C11—41no—
896C4×C11—41no—
897C4×C11—41no—
898C4×C11—41no—
899C4×C11—41no—
900C4×C11—41no—
901Dic11—22no—
902Dic11—22no—
903Dic11—22no—
904Dic11—22no—
905Dic11—22no—
906Dic11—41no—
907Dic11—41no—
908Dic11—41no—
909Dic11—41no—
910Dic11—41no—
911Dic11—41no—
912Dic11—41no—
913Dic11#53214yes—
914Dic11#53314yescomplemented
915Dic11D4×Q814yes—
916C22×Q8—111no—
917C22×Q8—111no—
918C22×Q8—111no—
919C22×Q8—111no—
920C22×Q8—111no—
921C22×Q8—111no—
922C22×Q8C22×D1111yescharacteristic
923C22×D4—111no—
924C23×C4—111no—
925C23×C4—111no—
926C23×C4—111no—
927C23×C4—111no—
928C23×C4—111no—
929C23×C4C22×D1111yescharacteristic
930C4⋊Q8—224no—
931C4⋊Q8—224no—
932C4⋊Q8—224no—
933C4⋊Q8—224no—
934C4⋊Q8—224no—
935C4⋊Q8—224no—
936C4⋊Q8—224no—
937#125—24no—
938#125—224no—
939#125—224no—
940#125—224no—
941C22⋊Q8—24no—
942C22⋊Q8—224no—
943C22⋊Q8—224no—
944C22⋊Q8—224no—
945C22⋊Q8—224no—
946C22⋊Q8—224no—
947C22⋊Q8—224no—
948C22⋊Q8—224no—
949C22⋊Q8—224no—
950C22⋊Q8—224no—
951C4×Q8—118no—
952C4×Q8—224no—
953C4×Q8—224no—
954C4×Q8—224no—
955C4×Q8—224no—
956C4×Q8—224no—
957C4×Q8—224no—
958C4×Q8—224no—
959C4×Q8—224no—
960C4×D4—118no—
961C4×D4—224no—
962C4×D4—224no—
963#117—224no—
964#117—224no—
965#117—224no—
966#117—224no—
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—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⋊C4C22×D1111yescharacteristic
1009C2×C4⋊C4C22×D1111yescharacteristic
1010C2×C4⋊C4C22×D1111yescharacteristic
1011C2×C4⋊C4C22×D1111yescharacteristic
1012C2×C4⋊C4C22×D1111yescharacteristic
1013C2×C4⋊C4C22×D1111yescharacteristic
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×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4C22×D1111yescharacteristic
1038C2×C22⋊C4C22×D1111yescharacteristic
1039C2×C22⋊C4C22×D1111yescharacteristic
1040C2×C22⋊C4C22×D1111yescharacteristic
1041C2×C22⋊C4C22×D1111yescharacteristic
1042C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
1064C2×C42—111no—
1065C2×C42—111no—
1066C2×C42—111no—
1067C2×C42—111no—
1068C2×C42—224no—
1069C2×C42—224no—
1070C2×C42C22×D1111yescharacteristic
1071C2×C42C22×D1111yescharacteristic
1072C2×C42C22×D1111yescharacteristic
1073C2×C42C22×D1111yescharacteristic
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95C22×D1111yescharacteristic
1101#95C22×D1111yescharacteristic
1102#95C22×D1111yescharacteristic
1103#95C22×D1111yescharacteristic
1104#95C22×D1111yescharacteristic
1105#95C22×D1111yescharacteristic
1106#95C22×D1111yescharacteristic
1107#95C22×D1111yescharacteristic
1108#95C22×D1111yescharacteristic
1109#95C22×D1111yescharacteristic
1110C2×C11—42no—
1111C2×C11C2×#53211yescharacteristic
1112C2×C11C2×#53311yescharacteristic
1113C2×C11#346111yescharacteristic
1114C2×C11C2×D4×Q811yescharacteristic
1115C2×C11D4×#4111yescharacteristic
1116C2×C11Q8×#4111yescharacteristic
1117C2×C11#348211yescharacteristic
1118D11—42no—
1119C24—111no—
1120C24C23×D1111yescharacteristic
1121C2×Q8—22no—
1122C2×Q8—22no—
1123C2×Q8—41no—
1124C2×Q8—114no—
1125C2×Q8—222no—
1126C2×Q8—222no—
1127C2×Q8—222no—
1128C2×Q8—222no—
1129C2×Q8—222no—
1130C2×Q8—222no—
1131C2×Q8—222no—
1132C2×Q8—222no—
1133C2×Q8—222no—
1134C2×Q8—222no—
1135C2×Q8—222no—
1136C2×Q8—222no—
1137C2×Q8—222no—
1138C2×Q8—222no—
1139C2×Q8—441no—
1140C2×Q8—441no—
1141C2×Q8—441no—
1142C2×D4—114no—
1143C2×D4—222no—
1144C2×D4—222no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—41no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—111no—
1151C22×C4—114no—
1152C22×C4—111no—
1153C22×C4—111no—
1154C22×C4—111no—
1155C22×C4—111no—
1156C22×C4—111no—
1157C22×C4—114no—
1158C22×C4—111no—
1159C22×C4—111no—
1160C22×C4—111no—
1161C22×C4—111no—
1162C22×C4—111no—
1163C22×C4—111no—
1164C22×C4—111no—
1165C22×C4—222no—
1166C22×C4—222no—
1167C22×C4—222no—
1168C22×C4—222no—
1169C22×C4—222no—
1170C22×C4—222no—
1171C22×C4—222no—
1172C22×C4—222no—
1173C22×C4—222no—
1174C22×C4—222no—
1175C22×C4—222no—
1176C22×C4—222no—
1177C22×C4—441no—
1178C22×C4C23×D1111yescharacteristic
1179C22×C4C23×D1111yescharacteristic
1180C22×C4C23×D1111yescharacteristic
1181C22×C4C23×D1111yescharacteristic
1182C22×C4C23×D1111yescharacteristic
1183C22×C4C23×D1111yescharacteristic
1184C22×C4C23×D1111yescharacteristic
1185C22×C4C23×D1111yescharacteristic
1186C22×C4C23×D1111yescharacteristic
1187C22×C4C23×D1111yescharacteristic
1188C22×C4C23×D1111yescharacteristic
1189C22×C4C23×D1111yescharacteristic
1190C22×C4C23×D1111yescharacteristic
1191C22×C4C23×D1111yescharacteristic
1192C4⋊C4—22no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—22no—
1196C4⋊C4—22no—
1197C4⋊C4—22no—
1198C4⋊C4—22no—
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—22no—
1202C4⋊C4—22no—
1203C4⋊C4—41no—
1204C4⋊C4—114no—
1205C4⋊C4—114no—
1206C4⋊C4—114no—
1207C4⋊C4—114no—
1208C4⋊C4—114no—
1209C4⋊C4—222no—
1210C4⋊C4—222no—
1211C4⋊C4—222no—
1212C4⋊C4—222no—
1213C4⋊C4—222no—
1214C4⋊C4—222no—
1215C4⋊C4—222no—
1216C4⋊C4—222no—
1217C4⋊C4—222no—
1218C4⋊C4—222no—
1219C4⋊C4—222no—
1220C4⋊C4—222no—
1221C4⋊C4—222no—
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—441no—
1245C4⋊C4D4×D1114yes—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—41no—
1251C22⋊C4—114no—
1252C22⋊C4—222no—
1253C22⋊C4—222no—
1254C22⋊C4—222no—
1255C22⋊C4—222no—
1256C22⋊C4—222no—
1257C22⋊C4—222no—
1258C22⋊C4—222no—
1259C22⋊C4—222no—
1260C22⋊C4—222no—
1261C22⋊C4—222no—
1262C22⋊C4—222no—
1263C22⋊C4—222no—
1264C22⋊C4—441no—
1265C22⋊C4—441no—
1266C22⋊C4—441no—
1267C22⋊C4Q8×D1114yes—
1268C42—22no—
1269C42—22no—
1270C42—41no—
1271C42—41no—
1272C42—114no—
1273C42—114no—
1274C42—114no—
1275C42—114no—
1276C42—114no—
1277C42—222no—
1278C42—222no—
1279C42—222no—
1280C42—222no—
1281C42—222no—
1282C42—222no—
1283C42—222no—
1284C42—222no—
1285C42—222no—
1286C42—222no—
1287C42—222no—
1288C42—222no—
1289C42—222no—
1290C42—222no—
1291C42—222no—
1292C42—222no—
1293C42—222no—
1294C42—222no—
1295C42—222no—
1296C42—441no—
1297C11#3492911yescharacteristic, complemented, Sylow
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—112no—
1305C23—221no—
1306C23—221no—
1307C23—221no—
1308C23—221no—
1309C23—221no—
1310C23—221no—
1311C23C2×Q8×D1112yes—
1312C23C24×D1111yescharacteristic
1313Q8—44no—
1314Q8—228no—
1315Q8—444no—
1316Q8—444no—
1317Q8—444no—
1318Q8—444no—
1319Q8—444no—
1320D4—228no—
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—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—44no—
1356C2×C4—112no—
1357C2×C4—112no—
1358C2×C4—112no—
1359C2×C4—112no—
1360C2×C4—112no—
1361C2×C4—112no—
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—228no—
1371C2×C4—228no—
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—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—444no—
1404C2×C4—444no—
1405C2×C4—444no—
1406C2×C4C2×D4×D1112yes—
1407C2×C4C2×D4×D1112yes—
1408C2×C4C2×D4×D1112yes—
1409C2×C4C2×Q8×D1112yes—
1410C2×C4C2×Q8×D1112yes—
1411C2×C4#41×D1112yes—
1412C2×C4#41×D1112yes—
1413C2×C4#41×D1112yes—
1414C22—22no—
1415C22—22no—
1416C22—22no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—222no—
1422C22—222no—
1423C22—222no—
1424C22—441no—
1425C22—441no—
1426C22—441no—
1427C22—441no—
1428C22C22×D4×D1111yescharacteristic
1429C22C22×Q8×D1111yescharacteristic
1430C22C2×#41×D1111yescharacteristic
1431C22C2×#41×D1111yescharacteristic
1432C22C2×#41×D1111yescharacteristic
1433C22#1062345511yescharacteristic
1434C22D11×2−1+411yescharacteristic
1435C4—22no—
1436C4—22no—
1437C4—22no—
1438C4—22no—
1439C4—22no—
1440C4—22no—
1441C4—22no—
1442C4—22no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—114no—
1450C4—114no—
1451C4—114no—
1452C4—222no—
1453C4—222no—
1454C4—222no—
1455C4—222no—
1456C4—222no—
1457C4—441no—
1458C4—441no—
1459C4—441no—
1460C4—441no—
1461C4—441no—
1462C4—441no—
1463C4—441no—
1464C2—42no—
1465C2—442no—
1466C2D11×#53211yescharacteristic
1467C2D11×#53311yescharacteristic
1468C2#1308204611yescharacteristic
1469C2D4×Q8×D1111yescharacteristic
1470C2#1308210011yescharacteristic
1471C2#1308219511yescharacteristic
1472C2#1308223011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2556C2
prime radicalC22×C22⋊D11C23
hypercenter#2556D11
hypocenterC11#34929
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2556

Complements

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

NH ≅ G/Ntype
1. C2×#10623219C2semidirect
2. C2×#10623153C2semidirect
3. #13073702C2semidirect
4. #13073700C2semidirect
5. #13073694C2semidirect
6. #13073641C2semidirect
7. #13073600C2semidirect
10. #13073131C2semidirect
11. #13073129C2semidirect
12. #13072989C2semidirect
13. #13072987C2semidirect
16. #13072214C2semidirect
17. #13072212C2semidirect
18. #13071893C2semidirect
19. #13071891C2semidirect
20. #13071887C2semidirect
21. #13071885C2semidirect
22. #13071187C2semidirect
23. #13071187C2semidirect
24. #13071185C2semidirect
25. #13071150C2semidirect
26. #13071148C2semidirect
29. C4×#66940C2semidirect
31. C11×#2556C2semidirect
336. #66940D4semidirect
338. (C22⋊D11)⋊C4Q8semidirect
567. #2556D11semidirect
914. Dic11#533semidirect
1297. C11#34929semidirect

Maximal subgroups

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

subgroupindex
C2×#106232192
C2×#106231532
#130737022
#130737002
#130736942
#130736412
#130736002
#130735642
#130735332
#130731312
#130731292
#130729892
#130729872
#130724652
#130724632
#130722142
#130722122
#130718932
#130718912
#130718872
#130718852
#130711872
#130711852
#130711502
#130711482
#130710762
C4×#669402
C4×(C22⋊D11)⋊C42
C11×#25562
#3492911