Finite Group Databasebeta

← #14926896

Subgroups — #14926896

Order 2816.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076997C211yesmaximal, characteristic, complemented
2#13076976C211yesmaximal, characteristic, complemented
3#13076964C211yesmaximal, characteristic, complemented
4#13076952C211yesmaximal, characteristic, complemented
5#13074811C211yesmaximal, characteristic, complemented
6#13074809C211yesmaximal, characteristic, complemented
7#13074804C211yesmaximal, characteristic, complemented
8#13074802C211yesmaximal, characteristic, complemented
9#13074015C211yesmaximal, characteristic, complemented
10#13074013C211yesmaximal, characteristic, complemented
11#13073700C211yesmaximal, characteristic, complemented
12#13073140C211yesmaximal, characteristic, complemented
13#13073089C211yesmaximal, characteristic, complemented
14#13073046C211yesmaximal, characteristic, complemented
15#13072926C211yesmaximal, characteristic
16#13072761C211yesmaximal, characteristic, complemented
17#13072753C211yesmaximal, characteristic, complemented
18#13072452C211yesmaximal, characteristic, complemented
19#13072424C211yesmaximal, characteristic
20#13072422C211yesmaximal, characteristic
21#13072311C211yesmaximal, characteristic, complemented
22#13072138C211yesmaximal, characteristic, complemented
23#13072060C211yesmaximal, characteristic
24#13071350C211yesmaximal, characteristic, complemented
25#13071348C211yesmaximal, characteristic, complemented
26#13071246C211yesmaximal, characteristic
27#13071246C211yesmaximal, characteristic
28C4×#66949C211yesmaximal, characteristic, complemented
29D11×#389C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic
31C11×#2556C211yesmaximal, characteristic, complemented
32C2×C11×#125C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic
34C2×#66999C2211yescharacteristic
35C2×#66997C2211yescharacteristic
36C2×C4×C22⋊D11C2211yescharacteristic
37C2×#66977C2211yescharacteristic
38C22×C4×Dic11C2211yescharacteristic
39C2×#66949C2211yescharacteristic
40C2×#66949C2211yescharacteristic
41C2×C4⋊C4×D11C2211yescharacteristic
42C2×C4⋊C4×D11C2211yescharacteristic
43C2×C4⋊C4×D11C2211yescharacteristic
44C2×C4⋊C4×D11C2211yescharacteristic
45C2×(C22⋊D11)⋊C4C2211yescharacteristic
46C2×(C22⋊D11)⋊C4C2211yescharacteristic
47C2×#66931C2211yescharacteristic
48C2×C42×D11C2211yescharacteristic
49C2×#66923C2211yescharacteristic
50C2×C4×Dic22C2211yescharacteristic
51C11×#399C2211yescharacteristic
52C11×#398C2211yescharacteristic
53C11×#396C2211yescharacteristic
54C11×#395C2211yescharacteristic
55C11×#391C2211yescharacteristic
56C11×#389C2211yescharacteristic
57C11×#389C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#388C2211yescharacteristic
60C11×#387C2211yescharacteristic
61C11×#385C2211yescharacteristic
62C4×C11×C4⋊C4C2211yescharacteristic
63C4×C11×C22⋊C4C2211yescharacteristic
64#10622843C2211yescharacteristic
65#10622842C2211yescharacteristic
66#10622823C2211yescharacteristic
67#10622602C2211yescharacteristic
68#10622602C2211yescharacteristic
69#10622602C2211yescharacteristic
70#10622602C2211yescharacteristic
71#10622602C2211yescharacteristic
72#10622602C2211yescharacteristic
73#10622600C2211yescharacteristic
74#10622599C2211yescharacteristic
75#10622598C2211yescharacteristic
76#10622597C2211yescharacteristic
77#10622597C2211yescharacteristic
78#10622597C2211yescharacteristic
79#10622597C2211yescharacteristic
80#10622597C2211yescharacteristic
81#10622596C2211yescharacteristic
82#10622596C2211yescharacteristic
83#10622596C2211yescharacteristic
84#10622596C2211yescharacteristic
85#10622595C2211yescharacteristic
86#10622594C2211yescharacteristic
87#10622594C2211yescharacteristic
88#10622594C2211yescharacteristic
89#10622594C2211yescharacteristic
90#10622593C2211yescharacteristic
91#10622593C2211yescharacteristic
92#10622591C2211yescharacteristic
93#10622590C2211yescharacteristic
94#10622590C2211yescharacteristic
95#10622589C2211yescharacteristic
96#10622589C2211yescharacteristic
97#10622589C2211yescharacteristic
98#10622587C2211yescharacteristic
99#10622586C2211yescharacteristic
100#10622585C2211yescharacteristic
101#10622585C2211yescharacteristic
102#10622585C2211yescharacteristic
103#10622585C2211yescharacteristic
104#10622585C2211yescharacteristic
105#10622585C2211yescharacteristic
106#10622585C2211yescharacteristic
107#10622585C2211yescharacteristic
108#10622585C2211yescharacteristic
109#10622585C2211yescharacteristic
110#10622585C2211yescharacteristic
111#10622585C2211yescharacteristic
112#10622585C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622564C2211yescharacteristic
118#10622564C2211yescharacteristic
119#10622562C2211yescharacteristic
120#10622562C2211yescharacteristic
121#10622562C2211yescharacteristic
122#10622561C2211yescharacteristic
123#10622561C2211yescharacteristic
124#10622561C2211yescharacteristic
125#10622556C2211yescharacteristic
126#10622556C2211yescharacteristic
127#10622555C2211yescharacteristic
128#10622555C2211yescharacteristic
129#10622555C2211yescharacteristic
130#10622555C2211yescharacteristic
131#10622555C2211yescharacteristic
132C22⋊C4×Dic11C2211yescharacteristic
133C22⋊C4×Dic11C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic
137#10622546C2211yescharacteristic
138#10622546C2211yescharacteristic
139#10622546C2211yescharacteristic
140#10622546C2211yescharacteristic
141#10622546C2211yescharacteristic
142C4×Dic11⋊C4C2211yescharacteristic
143C4×Dic11⋊C4C2211yescharacteristic
144C4×Dic11⋊C4C2211yescharacteristic
145C42×Dic11C2211yescharacteristic
146#10622541C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622281C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622280C2211yescharacteristic
152#10622280C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622279C2211yescharacteristic
155D11×#95C2211yescharacteristic
156D11×#95C2211yescharacteristic
157#10622274C2211yescharacteristic
158#10622274C2211yescharacteristic
159#10622273C2211yescharacteristic
160#10622272C2211yescharacteristic
161#10622270C2211yescharacteristic
162#10622270C2211yescharacteristic
163#10622269C2211yescharacteristic
164#10622269C2211yescharacteristic
165#10622268C2211yescharacteristic
166#10622267C2211yescharacteristic
167#10622266C2211yescharacteristic
168#10622265C2211yescharacteristic
169#10622265C2211yescharacteristic
170#10622265C2211yescharacteristic
171#10622265C2211yescharacteristic
172#10622265C2211yescharacteristic
173#10622265C2211yescharacteristic
174#10622264C2211yescharacteristic
175#10622264C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C23×Dic11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×Dic22C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C11×#125—42no—
202C11×C22⋊Q8—42no—
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231#66999—24no—
232#66997—42no—
233C4×C22⋊D11—24no—
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×C4⋊Dic11C2311yescharacteristic
242C2×C4⋊Dic11C2311yescharacteristic
243C2×C4⋊Dic11C2311yescharacteristic
244C2×C4⋊Dic11C2311yescharacteristic
245C2×C4⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
249C2×C4⋊Dic11C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251#66977—42no—
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11—42no—
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
297#66949—24no—
298#66949—24no—
299C4⋊C4×D11—24no—
300C4⋊C4×D11—42no—
301C4⋊C4×D11—42no—
302C4⋊C4×D11—42no—
303(C22⋊D11)⋊C4—24no—
304(C22⋊D11)⋊C4Q818yescomplemented
305#66931—42no—
306C42×D11—42no—
307#66923—42no—
308C4×Dic22—42no—
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361#35017—111nomaximal, Sylow
362C24×C11C2411yescharacteristic
363C23×D11C2411yescharacteristic
364C2×Q8×C11—22no—
365C2×Q8×C11—41no—
366C2×Q8×C11—41no—
367C22×C4×C11—22no—
368C22×C4×C11—22no—
369C22×C4×C11—41no—
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C2×C22⋊D11—22no—
385C2×C22⋊D11—22no—
386C2×C22⋊D11C2×Q814yes—
387C22×Dic11—22no—
388C22×Dic11—22no—
389C22×Dic11—22no—
390C22×Dic11—41no—
391C22×Dic11—41no—
392C22×Dic11C2×Q814yes—
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C2×C4×D11—22no—
409C2×C4×D11—22no—
410C2×C4×D11—22no—
411C2×C4×D11—22no—
412C2×C4×D11—22no—
413C2×C4×D11—22no—
414C2×C4×D11—22no—
415C2×C4×D11—22no—
416C2×C4×D11—41no—
417C2×C4×D11—41no—
418C2×C4×D11—41no—
419C2×C4×D11—41no—
420C2×C4×D11—41no—
421C2×C4×D11—41no—
422C2×C4×D11—41no—
423C2×C4×D11—41no—
424C2×C4×D11—41no—
425C2×C4×D11—41no—
426C2×C4×D11—41no—
427C2×C4×D11C2×Q814yes—
428C2×C4×D11#4114yes—
429C2×Dic22—22no—
430C2×Dic22—22no—
431C2×Dic22—22no—
432C2×Dic22—22no—
433C2×Dic22—41no—
434C2×Dic22—41no—
435C11×C4⋊C4—22no—
436C11×C4⋊C4—22no—
437C11×C4⋊C4—22no—
438C11×C4⋊C4—22no—
439C11×C4⋊C4—22no—
440C11×C4⋊C4—22no—
441C11×C4⋊C4—41no—
442C11×C4⋊C4—41no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
445C11×C4⋊C4—41no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4—41no—
448C11×C22⋊C4—22no—
449C11×C22⋊C4—41no—
450C11×C22⋊C4—41no—
451C11×C22⋊C4—41no—
452C11×C22⋊C4—41no—
453C11×C22⋊C4C2×Q814yes—
454C42×C11—22no—
455C42×C11—41no—
456C42×C11—41no—
457C42×C11—41no—
458C22⋊Dic11—22no—
459C22⋊Dic11—41no—
460C22⋊Dic11—41no—
461C22⋊Dic11—41no—
462C22⋊Dic11—41no—
463(C2×D11)⋊C4—22no—
464(C2×D11)⋊C4—22no—
465(C2×D11)⋊C4—22no—
466(C2×D11)⋊C4—22no—
467(C2×D11)⋊C4—22no—
468(C2×D11)⋊C4C2×Q814yes—
469(C2×D11)⋊C4#4114yes—
470C4⋊Dic11—22no—
471C4⋊Dic11—22no—
472C4⋊Dic11—41no—
473C4⋊Dic11—41no—
474C4⋊Dic11—41no—
475C4⋊Dic11—41no—
476C4⋊Dic11—41no—
477C4⋊Dic11—41no—
478C4⋊Dic11—41no—
479C4⋊Dic11—41no—
480Dic11⋊C4—22no—
481Dic11⋊C4—22no—
482Dic11⋊C4—22no—
483Dic11⋊C4—22no—
484Dic11⋊C4—22no—
485Dic11⋊C4—22no—
486Dic11⋊C4—22no—
487Dic11⋊C4—22no—
488Dic11⋊C4—22no—
489Dic11⋊C4—22no—
490Dic11⋊C4—22no—
491Dic11⋊C4—22no—
492Dic11⋊C4—22no—
493Dic11⋊C4—22no—
494Dic11⋊C4—22no—
495Dic11⋊C4—22no—
496Dic11⋊C4—22no—
497Dic11⋊C4—41no—
498Dic11⋊C4—41no—
499Dic11⋊C4—41no—
500Dic11⋊C4—41no—
501Dic11⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4C2×Q814yes—
511C4×Dic11—22no—
512C4×Dic11—22no—
513C4×Dic11—22no—
514C4×Dic11—22no—
515C4×Dic11—22no—
516C4×Dic11—22no—
517C4×Dic11—41no—
518C4×Dic11—41no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11C2×Q814yes—
524#2863—111no—
525#2859—111no—
526#2857—111no—
527#2855—111no—
528#2667—111no—
529#2667—111no—
530#2666—111no—
531#2666—111no—
532#2585—111no—
533#2585—111no—
534#2556—111no—
535#2556D1111yescharacteristic, complemented
536#2507—111no—
537#2502—111no—
538#2497—111no—
539#2487—111no—
540#2473—111no—
541#2473—111no—
542#2451—111no—
543#2449—111no—
544#2449—111no—
545#2440—111no—
546#2423—111no—
547#2417—111no—
548#2329—111no—
549#2329—111no—
550#2318—111no—
551#2318—111no—
552C4×C22⋊Q8—111no—
553C2×#389—111no—
554C42×D4—111no—
555C23×C11—21no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11C22×Q812yes—
562C23×C11C2511yescharacteristic
563C22×D11—21no—
564C22×D11—21no—
565C22×D11—21no—
566C22×D11—21no—
567C22×D11C22×Q812yes—
568C22×D11C2×#4112yes—
569C22×D11C2×#4112yes—
570Q8×C11—82no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—44no—
609C2×C4×C11C22×Q812yes—
610C2×C4×C11C22×Q812yes—
611C2×C4×C11C2×#4112yes—
612C2×C4×C11C2×#4112yes—
613C2×C4×C11H(5,𝔽2)12yes—
614C22⋊D11—28no—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—44no—
654C2×Dic11—44no—
655C2×Dic11C22×Q812yes—
656C2×Dic11C22×Q812yes—
657C2×Dic11C22×Q812yes—
658C2×Dic11C2×#4112yes—
659C2×Dic11C2×#4112yes—
660C2×Dic11H(5,𝔽2)12yes—
661C2×Dic112−1+412yes—
662C4×D11—28no—
663C4×D11—44no—
664C4×D11—44no—
665C4×D11—44no—
666C4×D11—44no—
667C4×D11—82no—
668C4×D11—82no—
669Dic22—44no—
670Dic22—82no—
671C2×C4⋊Q8—111no—
672C2×#125—111no—
673C2×#125C2×D1111yescharacteristic
674C2×C22⋊Q8—111no—
675C2×C22⋊Q8—111no—
676C2×C22⋊Q8—111no—
677C2×C22⋊Q8—111no—
678C2×C22⋊Q8—111no—
679C2×C22⋊Q8C2×D1111yescharacteristic
680C2×C4×Q8—111no—
681C2×C4×D4—111no—
682C2×C4×D4—111no—
683C2×C4×D4—111no—
684C22×C4⋊C4—111no—
685C22×C4⋊C4—111no—
686C22×C4⋊C4—111no—
687C22×C4⋊C4—111no—
688C22×C42—111no—
689C22×C42—111no—
690#400—111no—
691#400—111no—
692#400—111no—
693#400—111no—
694#399—111no—
695#399—111no—
696#399—111no—
697#399C2×D1111yescharacteristic
698#398—111no—
699#398—111no—
700#398—111no—
701#398—111no—
702#398—111no—
703#398—111no—
704#398—111no—
705#398—111no—
706#398—111no—
707#398—111no—
708#398—111no—
709#398—111no—
710#398—111no—
711#398—111no—
712#398—111no—
713#398C2×D1111yescharacteristic
714#396—111no—
715#396—111no—
716#396—111no—
717#396C2×D1111yescharacteristic
718#395—111no—
719#395—111no—
720#395—111no—
721#395C2×D1111yescharacteristic
722#391—111no—
723#391—111no—
724#391—111no—
725#391—111no—
726#391—111no—
727#391—111no—
728#391—111no—
729#391C2×D1111yescharacteristic
730#389—111no—
731#389—111no—
732#389—111no—
733#389—111no—
734#389—111no—
735#389—111no—
736#389—111no—
737#389—111no—
738#389—111no—
739#389—111no—
740#389—111no—
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
751#389C2×D1111yescharacteristic
752#388—111no—
753#388—111no—
754#388C2×D1111yescharacteristic
755#388C2×D1111yescharacteristic
756#387—111no—
757#387—111no—
758#387—111no—
759#387—111no—
760#387—111no—
761#387—111no—
762#387—111no—
763#387—111no—
764#387—111no—
765#387—111no—
766#387—111no—
767#387—111no—
768#387—111no—
769#387—111no—
770#387—111no—
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387C2×D1111yescharacteristic
776#386—111no—
777#386—111no—
778#386—111no—
779#386—111no—
780#385—111no—
781#385—111no—
782#385—111no—
783#385—111no—
784#385—111no—
785#385—111no—
786#385—111no—
787#385—111no—
788#385—111no—
789#385—111no—
790#385—111no—
791#385C2×D1111yescharacteristic
792#384—111no—
793#384—111no—
794#384—111no—
795#383—111no—
796#383—111no—
797#382—111no—
798#382—111no—
799#381—111no—
800#381—111no—
801#380—111no—
802#380—111no—
803#380—111no—
804#380—111no—
805#380—111no—
806#380—111no—
807#380—111no—
808#380—111no—
809C4×C4⋊C4—111no—
810C4×C4⋊C4—111no—
811C4×C4⋊C4—111no—
812C4×C4⋊C4—111no—
813C4×C4⋊C4—111no—
814C4×C4⋊C4C2×D1111yescharacteristic
815C4×C22⋊C4—111no—
816C4×C22⋊C4—111no—
817C4×C22⋊C4—111no—
818C4×C22⋊C4—111no—
819C4×C22⋊C4—111no—
820C4×C22⋊C4—111no—
821C4×C22⋊C4—111no—
822C4×C22⋊C4C2×D1111yescharacteristic
823C2×#95—111no—
824C2×#95—111no—
825C43—111no—
826C22×C11—22no—
827C22×C11—22no—
828C22×C11—22no—
829C22×C11—41no—
830C22×C11—41no—
831C22×C11—41no—
832C22×C11—41no—
833C22×C11C23×Q811yescharacteristic
834C22×C11C22×#4111yescharacteristic
835C22×C11C22×#4111yescharacteristic
836C22×C11C2×H(5,𝔽2)11yescharacteristic
837C22×C11C2×H(5,𝔽2)11yescharacteristic
838C22×C11C2×2−1+411yescharacteristic
839C22×C11#58511yescharacteristic
840C2×D11—22no—
841C2×D11—22no—
842C2×D11—22no—
843C2×D11—22no—
844C2×D11—22no—
845C2×D11—22no—
846C2×D11#53314yes—
847C4×C11—22no—
848C4×C11—22no—
849C4×C11—22no—
850C4×C11—22no—
851C4×C11—22no—
852C4×C11—41no—
853C4×C11—41no—
854C4×C11—41no—
855C4×C11—41no—
856C4×C11—41no—
857C4×C11—41no—
858C4×C11—41no—
859C4×C11—41no—
860C4×C11—41no—
861Dic11—22no—
862Dic11—22no—
863Dic11—22no—
864Dic11—22no—
865Dic11—41no—
866Dic11—41no—
867Dic11—41no—
868Dic11—41no—
869Dic11—41no—
870Dic11—41no—
871Dic11—41no—
872Dic11—41no—
873Dic11—41no—
874Dic11—41no—
875Dic11#53914yes—
876C22×Q8—111no—
877C22×Q8—111no—
878C22×Q8C22×D1111yescharacteristic
879C22×D4—111no—
880C23×C4—111no—
881C23×C4—111no—
882C23×C4—111no—
883C23×C4—111no—
884C23×C4—111no—
885C23×C4—111no—
886C23×C4—111no—
887C23×C4—111no—
888C23×C4—111no—
889C23×C4C22×D1111yescharacteristic
890C4⋊Q8—442no—
891#125—42no—
892#125—442no—
893C22⋊Q8—42no—
894C22⋊Q8—224no—
895C22⋊Q8—224no—
896C22⋊Q8—224no—
897C22⋊Q8—442no—
898C22⋊Q8—442no—
899C4×Q8—442no—
900C4×D4—118no—
901C4×D4—224no—
902C4×D4—224no—
903C2×C4⋊C4—111no—
904C2×C4⋊C4—111no—
905C2×C4⋊C4—111no—
906C2×C4⋊C4—111no—
907C2×C4⋊C4—111no—
908C2×C4⋊C4—111no—
909C2×C4⋊C4—111no—
910C2×C4⋊C4—111no—
911C2×C4⋊C4—111no—
912C2×C4⋊C4—111no—
913C2×C4⋊C4—111no—
914C2×C4⋊C4—111no—
915C2×C4⋊C4—111no—
916C2×C4⋊C4—111no—
917C2×C4⋊C4—111no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—224no—
945C2×C4⋊C4—442no—
946C2×C4⋊C4—442no—
947C2×C4⋊C4—442no—
948C2×C4⋊C4C22×D1111yescharacteristic
949C2×C4⋊C4C22×D1111yescharacteristic
950C2×C4⋊C4C22×D1111yescharacteristic
951C2×C4⋊C4C22×D1111yescharacteristic
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C4⋊C4C22×D1111yescharacteristic
955C2×C4⋊C4C22×D1111yescharacteristic
956C2×C4⋊C4C22×D1111yescharacteristic
957C2×C4⋊C4C22×D1111yescharacteristic
958C2×C4⋊C4C22×D1111yescharacteristic
959C2×C4⋊C4C22×D1111yescharacteristic
960C2×C4⋊C4C22×D1111yescharacteristic
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4C22×D1111yescharacteristic
974C2×C22⋊C4C22×D1111yescharacteristic
975C2×C22⋊C4C22×D1111yescharacteristic
976C2×C22⋊C4C22×D1111yescharacteristic
977C2×C22⋊C4C22×D1111yescharacteristic
978C2×C22⋊C4C22×D1111yescharacteristic
979C2×C42—111no—
980C2×C42—111no—
981C2×C42—111no—
982C2×C42—111no—
983C2×C42—111no—
984C2×C42—111no—
985C2×C42—111no—
986C2×C42—111no—
987C2×C42—111no—
988C2×C42—111no—
989C2×C42—111no—
990C2×C42—111no—
991C2×C42—111no—
992C2×C42—442no—
993C2×C42—442no—
994C2×C42C22×D1111yescharacteristic
995C2×C42C22×D1111yescharacteristic
996C2×C42C22×D1111yescharacteristic
997C2×C42C22×D1111yescharacteristic
998#95—111no—
999#95—111no—
1000#95—111no—
1001#95—111no—
1002#95—111no—
1003#95—111no—
1004#95—111no—
1005#95—111no—
1006#95—111no—
1007#95—111no—
1008#95—111no—
1009#95—111no—
1010#95—111no—
1011#95—111no—
1012#95—111no—
1013#95—111no—
1014#95—111no—
1015#95—111no—
1016#95—111no—
1017#95—111no—
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95C22×D1111yescharacteristic
1041#95C22×D1111yescharacteristic
1042#95C22×D1111yescharacteristic
1043#95C22×D1111yescharacteristic
1044#95C22×D1111yescharacteristic
1045#95C22×D1111yescharacteristic
1046#95C22×D1111yescharacteristic
1047#95C22×D1111yescharacteristic
1048#95C22×D1111yescharacteristic
1049#95C22×D1111yescharacteristic
1050C2×C11—42no—
1051C2×C11C2×#53311yescharacteristic
1052C2×C11C2×#53911yescharacteristic
1053C2×C11#346011yescharacteristic
1054C2×C11#350111yescharacteristic
1055C2×C11#350311yescharacteristic
1056C2×C11#351511yescharacteristic
1057C2×C11#351911yescharacteristic
1058D11—24no—
1059C24—111no—
1060C24C23×D1111yescharacteristic
1061C2×Q8—22no—
1062C2×Q8—41no—
1063C2×Q8—41no—
1064C2×Q8—222no—
1065C2×Q8—222no—
1066C2×Q8—222no—
1067C2×Q8—222no—
1068C2×Q8—441no—
1069C2×Q8—441no—
1070C2×D4—114no—
1071C2×D4—222no—
1072C2×D4—222no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—41no—
1076C22×C4—111no—
1077C22×C4—111no—
1078C22×C4—111no—
1079C22×C4—111no—
1080C22×C4—111no—
1081C22×C4—114no—
1082C22×C4—114no—
1083C22×C4—114no—
1084C22×C4—111no—
1085C22×C4—111no—
1086C22×C4—111no—
1087C22×C4—111no—
1088C22×C4—111no—
1089C22×C4—111no—
1090C22×C4—111no—
1091C22×C4—111no—
1092C22×C4—111no—
1093C22×C4—111no—
1094C22×C4—222no—
1095C22×C4—222no—
1096C22×C4—222no—
1097C22×C4—222no—
1098C22×C4—222no—
1099C22×C4—222no—
1100C22×C4—222no—
1101C22×C4—222no—
1102C22×C4—222no—
1103C22×C4—222no—
1104C22×C4—222no—
1105C22×C4—441no—
1106C22×C4—441no—
1107C22×C4—441no—
1108C22×C4—441no—
1109C22×C4—441no—
1110C22×C4—441no—
1111C22×C4—441no—
1112C22×C4—441no—
1113C22×C4—441no—
1114C22×C4—441no—
1115C22×C4—441no—
1116C22×C4—441no—
1117C22×C4—441no—
1118C22×C4C23×D1111yescharacteristic
1119C22×C4C23×D1111yescharacteristic
1120C22×C4C23×D1111yescharacteristic
1121C22×C4C23×D1111yescharacteristic
1122C22×C4C23×D1111yescharacteristic
1123C22×C4C23×D1111yescharacteristic
1124C22×C4C23×D1111yescharacteristic
1125C22×C4C23×D1111yescharacteristic
1126C22×C4C23×D1111yescharacteristic
1127C22×C4C23×D1111yescharacteristic
1128C22×C4C23×D1111yescharacteristic
1129C22×C4C23×D1111yescharacteristic
1130C22×C4C23×D1111yescharacteristic
1131C22×C4C23×D1111yescharacteristic
1132C4⋊C4—22no—
1133C4⋊C4—22no—
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—22no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—114no—
1146C4⋊C4—222no—
1147C4⋊C4—222no—
1148C4⋊C4—222no—
1149C4⋊C4—222no—
1150C4⋊C4—222no—
1151C4⋊C4—222no—
1152C4⋊C4—222no—
1153C4⋊C4—222no—
1154C4⋊C4—222no—
1155C4⋊C4—222no—
1156C4⋊C4—222no—
1157C4⋊C4—222no—
1158C4⋊C4—222no—
1159C4⋊C4—222no—
1160C4⋊C4—222no—
1161C4⋊C4—222no—
1162C4⋊C4—222no—
1163C4⋊C4—222no—
1164C4⋊C4—222no—
1165C4⋊C4—441no—
1166C4⋊C4—441no—
1167C4⋊C4—441no—
1168C4⋊C4—441no—
1169C4⋊C4—441no—
1170C4⋊C4—441no—
1171C4⋊C4—441no—
1172C4⋊C4—441no—
1173C4⋊C4—441no—
1174C4⋊C4—441no—
1175C4⋊C4—441no—
1176C4⋊C4—441no—
1177C4⋊C4—441no—
1178C4⋊C4—441no—
1179C4⋊C4—441no—
1180C4⋊C4—441no—
1181C4⋊C4—441no—
1182C4⋊C4—441no—
1183C4⋊C4—441no—
1184C4⋊C4—441no—
1185C4⋊C4—441no—
1186C22⋊C4—22no—
1187C22⋊C4—41no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—114no—
1192C22⋊C4—114no—
1193C22⋊C4—222no—
1194C22⋊C4—222no—
1195C22⋊C4—222no—
1196C22⋊C4—222no—
1197C22⋊C4—222no—
1198C22⋊C4—222no—
1199C22⋊C4—441no—
1200C22⋊C4—441no—
1201C22⋊C4—441no—
1202C22⋊C4—441no—
1203C22⋊C4Q8×D1114yes—
1204C42—22no—
1205C42—41no—
1206C42—41no—
1207C42—41no—
1208C42—114no—
1209C42—222no—
1210C42—222no—
1211C42—222no—
1212C42—222no—
1213C42—222no—
1214C42—222no—
1215C42—441no—
1216C42—441no—
1217C42—441no—
1218C42—441no—
1219C42—441no—
1220C42—441no—
1221C11#3501711yescharacteristic, complemented, Sylow
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—112no—
1229C23—112no—
1230C23—112no—
1231C23—221no—
1232C23—221no—
1233C23—221no—
1234C23—221no—
1235C23C2×Q8×D1112yes—
1236C23C24×D1111yescharacteristic
1237Q8—82no—
1238Q8—444no—
1239Q8—882no—
1240D4—228no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—44no—
1279C2×C4—112no—
1280C2×C4—112no—
1281C2×C4—112no—
1282C2×C4—112no—
1283C2×C4—112no—
1284C2×C4—112no—
1285C2×C4—112no—
1286C2×C4—228no—
1287C2×C4—221no—
1288C2×C4—221no—
1289C2×C4—221no—
1290C2×C4—221no—
1291C2×C4—221no—
1292C2×C4—221no—
1293C2×C4—221no—
1294C2×C4—221no—
1295C2×C4—221no—
1296C2×C4—221no—
1297C2×C4—221no—
1298C2×C4—221no—
1299C2×C4—221no—
1300C2×C4—221no—
1301C2×C4—221no—
1302C2×C4—221no—
1303C2×C4—221no—
1304C2×C4—221no—
1305C2×C4—221no—
1306C2×C4—221no—
1307C2×C4—221no—
1308C2×C4—221no—
1309C2×C4—221no—
1310C2×C4—221no—
1311C2×C4—221no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—444no—
1326C2×C4—444no—
1327C2×C4—444no—
1328C2×C4—444no—
1329C2×C4—444no—
1330C2×C4—444no—
1331C2×C4—882no—
1332C2×C4—882no—
1333C2×C4#6703712yes—
1334C2×C4C2×Q8×D1112yes—
1335C2×C4C2×Q8×D1112yes—
1336C2×C4#41×D1112yes—
1337C2×C4#41×D1112yes—
1338C22—22no—
1339C22—22no—
1340C22—22no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—114no—
1346C22—222no—
1347C22—222no—
1348C22—222no—
1349C22—222no—
1350C22—222no—
1351C22—222no—
1352C22C2×#6703711yescharacteristic
1353C22C22×Q8×D1111yescharacteristic
1354C22C2×#41×D1111yescharacteristic
1355C22C2×#41×D1111yescharacteristic
1356C22#1062345311yescharacteristic
1357C22D11×H(5,𝔽2)11yescharacteristic
1358C22D11×2−1+411yescharacteristic
1359C4—22no—
1360C4—22no—
1361C4—22no—
1362C4—22no—
1363C4—22no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—114no—
1374C4—222no—
1375C4—222no—
1376C4—222no—
1377C4—222no—
1378C4—441no—
1379C4—441no—
1380C4—441no—
1381C4—441no—
1382C4—441no—
1383C4—441no—
1384C4—441no—
1385C4—441no—
1386C4—441no—
1387C4—441no—
1388C2—42no—
1389C2—224no—
1390C2D11×#53311yescharacteristic
1391C2D11×#53911yescharacteristic
1392C2#1308203011yescharacteristic
1393C2#1308241511yescharacteristic
1394C2#1308242711yescharacteristic
1395C2#1308259011yescharacteristic
1396C2#1308263711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2556C2
prime radicalC22×C22⋊D11C23
hypercenter#2556D11
hypocenterC11#35017
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2556

Complements

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

NH ≅ G/Ntype
1. #13076997C2semidirect
2. #13076976C2semidirect
3. #13076964C2semidirect
4. #13076952C2semidirect
5. #13074811C2semidirect
6. #13074809C2semidirect
7. #13074804C2semidirect
8. #13074802C2semidirect
9. #13074015C2semidirect
10. #13074013C2semidirect
11. #13073700C2semidirect
12. #13073140C2semidirect
13. #13073089C2semidirect
14. #13073046C2semidirect
16. #13072761C2semidirect
17. #13072753C2semidirect
18. #13072452C2semidirect
21. #13072311C2semidirect
22. #13072138C2semidirect
24. #13071350C2semidirect
25. #13071348C2semidirect
28. C4×#66949C2semidirect
29. D11×#389C2semidirect
31. C11×#2556C2semidirect
304. (C22⋊D11)⋊C4Q8semidirect
535. #2556D11semidirect
1221. C11#35017semidirect

Maximal subgroups

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

subgroupindex
#130769972
#130769762
#130769642
#130769522
#130748112
#130748092
#130748042
#130748022
#130740152
#130740132
#130737002
#130731402
#130730892
#130730462
#130729262
#130727612
#130727532
#130724522
#130724242
#130724222
#130723112
#130721382
#130720602
#130713502
#130713482
#130712462
C4×#669492
D11×#3892
C4×(C22⋊D11)⋊C42
C11×#25562
#3501711