Finite Group Databasebeta

← #14923732

Subgroups — #14923732

Order 2816.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073046C211yesmaximal, characteristic, complemented
2#13073042C211yesmaximal, characteristic, complemented
3#13073035C211yesmaximal, characteristic, complemented
4#13073031C211yesmaximal, characteristic, complemented
5#13073024C211yesmaximal, characteristic, complemented
6#13073020C211yesmaximal, characteristic, complemented
7#13073013C211yesmaximal, characteristic, complemented
8#13073009C211yesmaximal, characteristic, complemented
9#13073007C211yesmaximal, characteristic, complemented
10#13073003C211yesmaximal, characteristic, complemented
11#13072999C211yesmaximal, characteristic, complemented
12#13072995C211yesmaximal, characteristic, complemented
13#13072861C211yesmaximal, characteristic
14#13072859C211yesmaximal, characteristic
15#13072856C211yesmaximal, characteristic
16#13071918C211yesmaximal, characteristic, complemented
17#13071913C211yesmaximal, characteristic, complemented
18#13071913C211yesmaximal, characteristic, complemented
19#13071913C211yesmaximal, characteristic, complemented
20#13071170C211yesmaximal, characteristic, complemented
21#13071170C211yesmaximal, characteristic, complemented
22#13071170C211yesmaximal, characteristic, complemented
23#126×Dic11C211yesmaximal, characteristic, complemented
24#13071095C211yesmaximal, characteristic, complemented
25#13071095C211yesmaximal, characteristic, complemented
26#13071018C211yesmaximal, characteristic, complemented
27#13070994C211yesmaximal, characteristic
28#13070994C211yesmaximal, characteristic
29C4×#66930C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic11C211yesmaximal, characteristic
31C11×#2480C211yesmaximal, characteristic
32C24×Dic11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C22×C11×C22⋊C4C2211yescharacteristic
35C22×C22⋊Dic11C2211yescharacteristic
36C22×C4×Dic11C2211yescharacteristic
37C22×C4×Dic11C2211yescharacteristic
38C2×#66932C2211yescharacteristic
39C2×#66932C2211yescharacteristic
40C2×#66932C2211yescharacteristic
41C2×#66930C2211yescharacteristic
42C2×#66930C2211yescharacteristic
43C2×#66930C2211yescharacteristic
44C2×#66930C2211yescharacteristic
45C11×#397C2211yescharacteristic
46C11×#397C2211yescharacteristic
47C11×#397C2211yescharacteristic
48C11×#396C2211yescharacteristic
49C11×#388C2211yescharacteristic
50C11×#388C2211yescharacteristic
51C11×#388C2211yescharacteristic
52C11×#385C2211yescharacteristic
53C11×#385C2211yescharacteristic
54C11×#380C2211yescharacteristic
55C11×#379C2211yescharacteristic
56C11×#379C2211yescharacteristic
57C4×C11×C22⋊C4C2211yescharacteristic
58#10622860C2211yescharacteristic
59#10622860C2211yescharacteristic
60#10622825C2211yescharacteristic
61#10622823C2211yescharacteristic
62#10622823C2211yescharacteristic
63C4×C22⋊Dic11C2211yescharacteristic
64C2×C11⋊#95C2211yescharacteristic
65C2×C11⋊#95C2211yescharacteristic
66#10622599C2211yescharacteristic, complemented
67#10622599C2211yescharacteristic, complemented
68#10622599C2211yescharacteristic, complemented
69#10622595C2211yescharacteristic, complemented
70#10622595C2211yescharacteristic, complemented
71#10622595C2211yescharacteristic, complemented
72#10622594C2211yescharacteristic, complemented
73#10622594C2211yescharacteristic, complemented
74#10622594C2211yescharacteristic, complemented
75#10622591C2211yescharacteristic, complemented
76#10622591C2211yescharacteristic, complemented
77#10622591C2211yescharacteristic, complemented
78#10622589C2211yescharacteristic, complemented
79#10622589C2211yescharacteristic, complemented
80C4⋊C4×Dic11C2211yescharacteristic, complemented
81C4⋊C4×Dic11C2211yescharacteristic, complemented
82C4⋊C4×Dic11C2211yescharacteristic, complemented
83C4⋊C4×Dic11C2211yescharacteristic, complemented
84C4⋊C4×Dic11C2211yescharacteristic, complemented
85C4⋊C4×Dic11C2211yescharacteristic, complemented
86#10622585C2211yescharacteristic, complemented
87#10622585C2211yescharacteristic, complemented
88#10622585C2211yescharacteristic, complemented
89#10622585C2211yescharacteristic, complemented
90#10622566C2211yescharacteristic
91#10622566C2211yescharacteristic
92#10622566C2211yescharacteristic
93#10622565C2211yescharacteristic
94#10622565C2211yescharacteristic
95#10622565C2211yescharacteristic
96#10622565C2211yescharacteristic
97#10622565C2211yescharacteristic
98#10622565C2211yescharacteristic
99#10622564C2211yescharacteristic
100#10622564C2211yescharacteristic
101#10622564C2211yescharacteristic
102#10622563C2211yescharacteristic
103#10622563C2211yescharacteristic
104#10622561C2211yescharacteristic
105#10622561C2211yescharacteristic
106#10622561C2211yescharacteristic
107#10622559C2211yescharacteristic
108#10622559C2211yescharacteristic
109#10622558C2211yescharacteristic
110#10622558C2211yescharacteristic
111#10622558C2211yescharacteristic
112#10622557C2211yescharacteristic
113#10622557C2211yescharacteristic
114#10622557C2211yescharacteristic
115#10622556C2211yescharacteristic
116#10622556C2211yescharacteristic
117#10622556C2211yescharacteristic
118#10622556C2211yescharacteristic
119#10622555C2211yescharacteristic
120#10622555C2211yescharacteristic
121#10622555C2211yescharacteristic
122#10622555C2211yescharacteristic
123#10622555C2211yescharacteristic
124#10622555C2211yescharacteristic
125#10622555C2211yescharacteristic
126#10622555C2211yescharacteristic
127#10622555C2211yescharacteristic
128#10622555C2211yescharacteristic
129C22⋊C4×Dic11C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131C22⋊C4×Dic11C2211yescharacteristic
132C22⋊C4×Dic11C2211yescharacteristic
133C22⋊C4×Dic11C2211yescharacteristic
134C22⋊C4×Dic11C2211yescharacteristic
135C22⋊C4×Dic11C2211yescharacteristic
136C22⋊C4×Dic11C2211yescharacteristic
137C22⋊C4×Dic11C2211yescharacteristic
138C22⋊C4×Dic11C2211yescharacteristic
139C22⋊C4×Dic11C2211yescharacteristic
140C22⋊C4×Dic11C2211yescharacteristic
141C22⋊C4×Dic11C2211yescharacteristic
142C22⋊C4×Dic11C2211yescharacteristic
143C22⋊C4×Dic11C2211yescharacteristic
144C22⋊C4×Dic11C2211yescharacteristic
145C22⋊C4×Dic11C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147#10622550C2211yescharacteristic, complemented
148#10622546C2211yescharacteristic, complemented
149#10622546C2211yescharacteristic, complemented
150#10622546C2211yescharacteristic, complemented
151C4×Dic11⋊C4C2211yescharacteristic, complemented
152C4×Dic11⋊C4C2211yescharacteristic, complemented
153C42×Dic11C2211yescharacteristic, complemented
154C42×Dic11C2211yescharacteristic, complemented
155C11⋊#401C2211yescharacteristic, complemented
156C11⋊#401C2211yescharacteristic, complemented
157C11⋊#401C2211yescharacteristic, complemented
158C11⋊#401C2211yescharacteristic, complemented
159#10622273C2211yescharacteristic, complemented
160#10622273C2211yescharacteristic, complemented
161#10622273C2211yescharacteristic, complemented
162#10622271C2211yescharacteristic, complemented
163#10622271C2211yescharacteristic, complemented
164#10622271C2211yescharacteristic, complemented
165#10622267C2211yescharacteristic, complemented
166#10622267C2211yescharacteristic, complemented
167#10622267C2211yescharacteristic, complemented
168#10622264C2211yescharacteristic, complemented
169#10622264C2211yescharacteristic, complemented
170#10622264C2211yescharacteristic, complemented
171#10622263C2211yescharacteristic, complemented
172#10622263C2211yescharacteristic, complemented
173#10622262C2211yescharacteristic, complemented
174#10622262C2211yescharacteristic, complemented
175#10622262C2211yescharacteristic, complemented
176#10622262C2211yescharacteristic, complemented
177#10622262C2211yescharacteristic, complemented
178#10622262C2211yescharacteristic, complemented
179#10622262C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622261C2211yescharacteristic, complemented
182#10622261C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×Dic11—24no—
191C23×Dic11—24no—
192C23×Dic11—24no—
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C11×#126—24no—
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4—24no—
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C22⋊Dic11—24no—
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C4⋊Dic11C2311yescharacteristic
245C2×C4⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
249C2×C4⋊Dic11C2311yescharacteristic
250C2×Dic11⋊C4C2311yescharacteristic
251C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11—24no—
271C2×C4×Dic11—24no—
272C2×C4×Dic11C2311yescharacteristic
273C2×C4×Dic11C2311yescharacteristic
274C2×C4×Dic11C2311yescharacteristic
275C2×C4×Dic11C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
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
294#66932—24no—
295#66932—24no—
296#66932—24no—
297#66930—24no—
298#66930—24no—
299#66930—24no—
300#66930—24no—
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
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
357#34814—111nomaximal, Sylow
358C24×C11—22no—
359C24×C11—22no—
360C24×C11—22no—
361C24×C11—22no—
362C24×C11—22no—
363C24×C11—41no—
364C24×C11—41no—
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C24×C11C2411yescharacteristic
368C22×C4×C11—22no—
369C22×C4×C11—22no—
370C22×C4×C11—22no—
371C22×C4×C11—22no—
372C22×C4×C11—41no—
373C22×C4×C11—41no—
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
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×Dic11—22no—
387C22×Dic11—22no—
388C22×Dic11—22no—
389C22×Dic11—22no—
390C22×Dic11—22no—
391C22×Dic11—22no—
392C22×Dic11—22no—
393C22×Dic11—22no—
394C22×Dic11—22no—
395C22×Dic11—22no—
396C22×Dic11—22no—
397C22×Dic11—22no—
398C22×Dic11—22no—
399C22×Dic11—22no—
400C22×Dic11—22no—
401C22×Dic11—22no—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—22no—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11—416no—
408C22×Dic11#4114yes—
409C22×Dic11#4114yes—
410C22×Dic11#4114yes—
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C11×C4⋊C4—22no—
428C11×C4⋊C4—22no—
429C11×C4⋊C4—22no—
430C11×C4⋊C4—41no—
431C11×C4⋊C4—41no—
432C11×C4⋊C4—41no—
433C11×C22⋊C4—22no—
434C11×C22⋊C4—22no—
435C11×C22⋊C4—22no—
436C11×C22⋊C4—22no—
437C11×C22⋊C4—22no—
438C11×C22⋊C4—22no—
439C11×C22⋊C4—22no—
440C11×C22⋊C4—22no—
441C11×C22⋊C4—22no—
442C11×C22⋊C4—22no—
443C11×C22⋊C4—22no—
444C11×C22⋊C4—41no—
445C11×C22⋊C4—41no—
446C11×C22⋊C4—41no—
447C11×C22⋊C4—41no—
448C11×C22⋊C4#4114yes—
449C42×C11—22no—
450C42×C11—41no—
451C22⋊Dic11—22no—
452C22⋊Dic11—22no—
453C22⋊Dic11—22no—
454C22⋊Dic11—22no—
455C22⋊Dic11—22no—
456C22⋊Dic11—22no—
457C22⋊Dic11—22no—
458C22⋊Dic11—22no—
459C22⋊Dic11—22no—
460C22⋊Dic11—22no—
461C22⋊Dic11—22no—
462C22⋊Dic11—41no—
463C22⋊Dic11—41no—
464C22⋊Dic11—41no—
465C22⋊Dic11—41no—
466C22⋊Dic11#4114yes—
467C4⋊Dic11—22no—
468C4⋊Dic11—22no—
469C4⋊Dic11—22no—
470C4⋊Dic11—41no—
471C4⋊Dic11—41no—
472C4⋊Dic11—41no—
473Dic11⋊C4—22no—
474Dic11⋊C4—22no—
475Dic11⋊C4—22no—
476Dic11⋊C4—22no—
477Dic11⋊C4—22no—
478Dic11⋊C4—22no—
479Dic11⋊C4—22no—
480Dic11⋊C4—22no—
481Dic11⋊C4—22no—
482Dic11⋊C4—22no—
483Dic11⋊C4—22no—
484Dic11⋊C4—22no—
485Dic11⋊C4—22no—
486Dic11⋊C4—22no—
487Dic11⋊C4—41no—
488Dic11⋊C4—41no—
489Dic11⋊C4—41no—
490Dic11⋊C4—41no—
491Dic11⋊C4—41no—
492Dic11⋊C4—41no—
493C4×Dic11—22no—
494C4×Dic11—22no—
495C4×Dic11—22no—
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—22no—
506C4×Dic11—22no—
507C4×Dic11—22no—
508C4×Dic11—22no—
509C4×Dic11—22no—
510C4×Dic11—22no—
511C4×Dic11—22no—
512C4×Dic11—41no—
513C4×Dic11—41no—
514C4×Dic11—41no—
515#2497—111no—
516#2497—111no—
517#2496—111no—
518#2496—111no—
519#2495—111no—
520#2495—111no—
521#2494—111no—
522#2494—111no—
523#2493—111no—
524#2493—111no—
525#2493—111no—
526#2493—111no—
527#2480—111no—
528#2480—111no—
529#2480—111no—
530#2480D1111yescharacteristic
531#2401—111no—
532#2401—111no—
533#2401—111no—
534#2401—111no—
535C4×#126—111no—
536C4×#126—111no—
537C4×#126—111no—
538C4×#126—111no—
539#2296—111no—
540#2296—111no—
541#2285—111no—
542#2280—111no—
543#2280—111no—
544C4×#117—111no—
545C2×C4×C22⋊C4—111no—
546C23×C11—21no—
547C23×C11—21no—
548C23×C11—21no—
549C23×C11—21no—
550C23×C11—28no—
551C23×C11—21no—
552C23×C11—21no—
553C23×C11—21no—
554C23×C11—21no—
555C23×C11—21no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—44no—
564C23×C11—44no—
565C23×C11—44no—
566C23×C11—44no—
567C23×C11—44no—
568C23×C11—44no—
569C23×C11C2×#4112yes—
570C23×C11C2×#4112yes—
571C23×C11C2×#4112yes—
572C23×C11C2×#4112yes—
573C23×C11C2×#4112yes—
574C23×C11C2511yescharacteristic
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—21no—
609C2×C4×C11—44no—
610C2×C4×C11—44no—
611C2×C4×C11C2×#4112yes—
612C2×C4×C11C2×#4112yes—
613C2×Dic11—21no—
614C2×Dic11—21no—
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×Dic11—44no—
656C2×Dic11—44no—
657C2×Dic11—44no—
658C2×Dic11—44no—
659C2×Dic11—44no—
660C2×Dic11#126116yescomplemented
661C2×Dic11C2×#4112yes—
662C2×Dic11C2×#4112yes—
663C2×Dic11C2×#4112yes—
664C2×Dic11C2×#4112yes—
665C2×Dic11C2×#4112yes—
666C2×Dic11C2×#4112yes—
667C2×Dic11C2×#4112yes—
668C2×Dic11C2×#4112yes—
669C24×C4—111no—
670C2×#126—111no—
671C2×#126—111no—
672C2×#126—111no—
673C2×#126C2×D1111yescharacteristic
674C2×#117—111no—
675C2×#117—111no—
676C2×#117—111no—
677C2×#117—111no—
678C22×C22⋊C4—111no—
679C22×C22⋊C4C2×D1111yescharacteristic
680C22×C42—111no—
681C22×C42—111no—
682#401—111no—
683#401—111no—
684#401—111no—
685#401—111no—
686#400—111no—
687#400—111no—
688#400—111no—
689#400—111no—
690#400—111no—
691#400—111no—
692#400—111no—
693#400—111no—
694#400—111no—
695#400—111no—
696#400—111no—
697#400—111no—
698#397—111no—
699#397—111no—
700#397—111no—
701#397—111no—
702#397—111no—
703#397—111no—
704#397—111no—
705#397—111no—
706#397—111no—
707#397C2×D1111yescharacteristic
708#397C2×D1111yescharacteristic
709#397C2×D1111yescharacteristic
710#396—111no—
711#396—111no—
712#396—111no—
713#396C2×D1111yescharacteristic
714#389—111no—
715#389—111no—
716#389—111no—
717#389—111no—
718#389—111no—
719#389—111no—
720#389—111no—
721#389—111no—
722#388—111no—
723#388—111no—
724#388—111no—
725#388—111no—
726#388—111no—
727#388—111no—
728#388—111no—
729#388—111no—
730#388—111no—
731#388C2×D1111yescharacteristic
732#388C2×D1111yescharacteristic
733#388C2×D1111yescharacteristic
734#387—111no—
735#387—111no—
736#387—111no—
737#387—111no—
738#387—111no—
739#387—111no—
740#387—111no—
741#387—111no—
742#387—111no—
743#387—111no—
744#387—111no—
745#387—111no—
746#385—111no—
747#385—111no—
748#385—111no—
749#385—111no—
750#385—111no—
751#385—111no—
752#385C2×D1111yescharacteristic
753#385C2×D1111yescharacteristic
754#384—111no—
755#384—111no—
756#383—111no—
757#383—111no—
758#383—111no—
759#383—111no—
760#382—111no—
761#382—111no—
762#381—111no—
763#381—111no—
764#381—111no—
765#381—111no—
766#380—111no—
767#380—111no—
768#380—111no—
769#380—111no—
770#380—111no—
771#380—111no—
772#380—111no—
773#380—111no—
774#380—111no—
775#380—111no—
776#380—111no—
777#380C2×D1111yescharacteristic
778#379—111no—
779#379—111no—
780#379C2×D1111yescharacteristic
781#379C2×D1111yescharacteristic
782C4×C4⋊C4—111no—
783C4×C4⋊C4—111no—
784C4×C4⋊C4—111no—
785C4×C4⋊C4—111no—
786C4×C4⋊C4—111no—
787C4×C4⋊C4—111no—
788C4×C4⋊C4—111no—
789C4×C4⋊C4—111no—
790C4×C4⋊C4—111no—
791C4×C4⋊C4—111no—
792C4×C4⋊C4—111no—
793C4×C4⋊C4—111no—
794C4×C4⋊C4—111no—
795C4×C4⋊C4—111no—
796C4×C4⋊C4—111no—
797C4×C4⋊C4—111no—
798C4×C22⋊C4—111no—
799C4×C22⋊C4—111no—
800C4×C22⋊C4—111no—
801C4×C22⋊C4—111no—
802C4×C22⋊C4—111no—
803C4×C22⋊C4—111no—
804C4×C22⋊C4—111no—
805C4×C22⋊C4—111no—
806C4×C22⋊C4—111no—
807C4×C22⋊C4—111no—
808C4×C22⋊C4—111no—
809C4×C22⋊C4—111no—
810C4×C22⋊C4—111no—
811C4×C22⋊C4—111no—
812C4×C22⋊C4—111no—
813C4×C22⋊C4—111no—
814C4×C22⋊C4—111no—
815C4×C22⋊C4—111no—
816C4×C22⋊C4—111no—
817C4×C22⋊C4C2×D1111yescharacteristic
818#376—111no—
819#376—111no—
820C2×#95—111no—
821C2×#95—111no—
822C43—111no—
823C43—111no—
824C22×C11—22no—
825C22×C11—22no—
826C22×C11—22no—
827C22×C11—22no—
828C22×C11—22no—
829C22×C11—22no—
830C22×C11—22no—
831C22×C11—22no—
832C22×C11—22no—
833C22×C11—22no—
834C22×C11—22no—
835C22×C11—22no—
836C22×C11—416no—
837C22×C11—41no—
838C22×C11—41no—
839C22×C11—41no—
840C22×C11—41no—
841C22×C11—41no—
842C22×C11—41no—
843C22×C11—41no—
844C22×C11—41no—
845C22×C11C2×#12614yes—
846C22×C11C22×#4111yescharacteristic
847C22×C11C22×#4111yescharacteristic
848C22×C11C22×#4111yescharacteristic
849C22×C11C22×#4111yescharacteristic
850C22×C11C22×#4111yescharacteristic
851C22×C11#58511yescharacteristic
852C22×C11#58511yescharacteristic
853C4×C11—22no—
854C4×C11—22no—
855C4×C11—41no—
856C4×C11—41no—
857C4×C11—41no—
858C4×C11—41no—
859C4×C11—41no—
860C4×C11—41no—
861C4×C11—41no—
862C4×C11—41no—
863C4×C11—41no—
864C4×C11—41no—
865Dic11—22no—
866Dic11—22no—
867Dic11—41no—
868Dic11—41no—
869Dic11—41no—
870Dic11—41no—
871Dic11—41no—
872Dic11—41no—
873Dic11—41no—
874Dic11—41no—
875Dic11—41no—
876Dic11—41no—
877Dic11—41no—
878Dic11—41no—
879Dic11C2×#12614yes—
880Dic11C2×#12614yes—
881C25C22×D1111yescharacteristic
882C23×C4—111no—
883C23×C4—111no—
884C23×C4—111no—
885C23×C4—111no—
886C23×C4—111no—
887C23×C4—111no—
888C23×C4—111no—
889C23×C4—111no—
890C23×C4—224no—
891C23×C4—224no—
892C23×C4—224no—
893C23×C4C22×D1111yescharacteristic
894C23×C4C22×D1111yescharacteristic
895#126—24no—
896#126—224no—
897#126—224no—
898#126—224no—
899#117—224no—
900#117—224no—
901#117—224no—
902#117—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⋊C4C22×D1111yescharacteristic
930C2×C4⋊C4C22×D1111yescharacteristic
931C2×C4⋊C4C22×D1111yescharacteristic
932C2×C4⋊C4C22×D1111yescharacteristic
933C2×C4⋊C4C22×D1111yescharacteristic
934C2×C4⋊C4C22×D1111yescharacteristic
935C2×C22⋊C4—24no—
936C2×C22⋊C4—111no—
937C2×C22⋊C4—111no—
938C2×C22⋊C4—111no—
939C2×C22⋊C4—111no—
940C2×C22⋊C4—111no—
941C2×C22⋊C4—111no—
942C2×C22⋊C4—111no—
943C2×C22⋊C4—111no—
944C2×C22⋊C4—111no—
945C2×C22⋊C4—111no—
946C2×C22⋊C4—111no—
947C2×C22⋊C4—111no—
948C2×C22⋊C4—111no—
949C2×C22⋊C4—111no—
950C2×C22⋊C4—111no—
951C2×C22⋊C4—111no—
952C2×C22⋊C4—224no—
953C2×C22⋊C4C22×D1111yescharacteristic
954C2×C22⋊C4C22×D1111yescharacteristic
955C2×C22⋊C4C22×D1111yescharacteristic
956C2×C22⋊C4C22×D1111yescharacteristic
957C2×C22⋊C4C22×D1111yescharacteristic
958C2×C22⋊C4C22×D1111yescharacteristic
959C2×C22⋊C4C22×D1111yescharacteristic
960C2×C22⋊C4C22×D1111yescharacteristic
961C2×C22⋊C4C22×D1111yescharacteristic
962C2×C22⋊C4C22×D1111yescharacteristic
963C2×C22⋊C4C22×D1111yescharacteristic
964C2×C22⋊C4C22×D1111yescharacteristic
965C2×C22⋊C4C22×D1111yescharacteristic
966C2×C22⋊C4C22×D1111yescharacteristic
967C2×C22⋊C4C22×D1111yescharacteristic
968C2×C22⋊C4C22×D1111yescharacteristic
969C2×C42—111no—
970C2×C42—111no—
971C2×C42—111no—
972C2×C42—111no—
973C2×C42—111no—
974C2×C42—111no—
975C2×C42—111no—
976C2×C42—111no—
977C2×C42—111no—
978C2×C42—111no—
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—224no—
992C2×C42—224no—
993C2×C42C22×D1111yescharacteristic
994C2×C42C22×D1111yescharacteristic
995#95—111no—
996#95—111no—
997#95—111no—
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#95—111no—
1041#95—111no—
1042#95—111no—
1043#95C22×D1111yescharacteristic
1044#95C22×D1111yescharacteristic
1045#95C22×D1111yescharacteristic
1046#95C22×D1111yescharacteristic
1047#95C22×D1111yescharacteristic
1048#95C22×D1111yescharacteristic
1049#95C22×D1111yescharacteristic
1050#95C22×D1111yescharacteristic
1051C2×C11—24no—
1052C2×C11—42no—
1053C2×C11—42no—
1054C2×C11C22×#12611yescharacteristic
1055C2×C11#344411yescharacteristic
1056C2×C11#345511yescharacteristic
1057C2×C11#347511yescharacteristic
1058C2×C11#347511yescharacteristic
1059C2×C11#347511yescharacteristic
1060C2×C11#347511yescharacteristic
1061C24—22no—
1062C24—22no—
1063C24—22no—
1064C24—22no—
1065C24—22no—
1066C24—41no—
1067C24—41no—
1068C24C23×D1111yescharacteristic
1069C24C23×D1111yescharacteristic
1070C24C23×D1111yescharacteristic
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—41no—
1076C22×C4—41no—
1077C22×C4—114no—
1078C22×C4—114no—
1079C22×C4—114no—
1080C22×C4—111no—
1081C22×C4—111no—
1082C22×C4—111no—
1083C22×C4—111no—
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—111no—
1095C22×C4—111no—
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—222no—
1106C22×C4—222no—
1107C22×C4—222no—
1108C22×C4—222no—
1109C22×C4—222no—
1110C22×C4—222no—
1111C22×C4—222no—
1112C22×C4—222no—
1113C22×C4—222no—
1114C22×C4—222no—
1115C22×C4—4416no—
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
1130C4⋊C4—22no—
1131C4⋊C4—22no—
1132C4⋊C4—22no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—222no—
1137C4⋊C4—222no—
1138C4⋊C4—222no—
1139C4⋊C4—222no—
1140C4⋊C4—222no—
1141C4⋊C4—222no—
1142C4⋊C4—222no—
1143C4⋊C4—222no—
1144C4⋊C4—222no—
1145C4⋊C4—222no—
1146C4⋊C4—222no—
1147C4⋊C4—222no—
1148C4⋊C4—222no—
1149C4⋊C4—222no—
1150C4⋊C4—222no—
1151C4⋊C4—222no—
1152C4⋊C4—222no—
1153C4⋊C4—441no—
1154C4⋊C4—441no—
1155C4⋊C4—441no—
1156C4⋊C4—441no—
1157C4⋊C4—441no—
1158C4⋊C4—441no—
1159C4⋊C4—441no—
1160C4⋊C4—441no—
1161C4⋊C4—441no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—22no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—22no—
1173C22⋊C4—41no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4—114no—
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—441no—
1190C22⋊C4—441no—
1191C22⋊C4—441no—
1192C22⋊C4—441no—
1193C22⋊C4#434114yes—
1194C42—22no—
1195C42—41no—
1196C42—222no—
1197C42—222no—
1198C42—222no—
1199C42—222no—
1200C42—222no—
1201C42—222no—
1202C42—222no—
1203C42—222no—
1204C42—222no—
1205C42—222no—
1206C42—222no—
1207C42—222no—
1208C42—222no—
1209C42—222no—
1210C42—222no—
1211C42—222no—
1212C42—222no—
1213C42—222no—
1214C42—222no—
1215C42—441no—
1216C42—441no—
1217C42—441no—
1218C11#3481411yescharacteristic, complemented, Sylow
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—28no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—44no—
1237C23—44no—
1238C23—44no—
1239C23—44no—
1240C23—44no—
1241C23—44no—
1242C23C2×#434112yes—
1243C23#41×D1112yes—
1244C23#41×D1112yes—
1245C23#41×D1112yes—
1246C23#41×D1112yes—
1247C23C24×D1111yescharacteristic
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—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—44no—
1283C2×C4—44no—
1284C2×C4—1116no—
1285C2×C4—112no—
1286C2×C4—112no—
1287C2×C4—112no—
1288C2×C4—112no—
1289C2×C4—112no—
1290C2×C4—112no—
1291C2×C4—112no—
1292C2×C4—112no—
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—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—444no—
1334C2×C4—444no—
1335C2×C4—444no—
1336C2×C4—444no—
1337C2×C4—444no—
1338C2×C4—444no—
1339C2×C4—444no—
1340C2×C4C2×#434112yes—
1341C2×C4C2×#434112yes—
1342C22—22no—
1343C22—22no—
1344C22—22no—
1345C22—22no—
1346C22—22no—
1347C22—22no—
1348C22—22no—
1349C22—22no—
1350C22—22no—
1351C22—22no—
1352C22—22no—
1353C22—22no—
1354C22—416no—
1355C22—41no—
1356C22—41no—
1357C22—41no—
1358C22—41no—
1359C22—41no—
1360C22—41no—
1361C22—41no—
1362C22—41no—
1363C22D11×#12614yes—
1364C22C22×#434111yescharacteristic
1365C22C2×#41×D1111yescharacteristic
1366C22C2×#41×D1111yescharacteristic
1367C22C2×#41×D1111yescharacteristic
1368C22C2×#41×D1111yescharacteristic
1369C22#1062345511yescharacteristic
1370C22#1062345511yescharacteristic
1371C4—22no—
1372C4—22no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—114no—
1384C4—114no—
1385C4—222no—
1386C4—222no—
1387C4—441no—
1388C4—441no—
1389C4—441no—
1390C4—441no—
1391C4—441no—
1392C4—441no—
1393C4—441no—
1394C4—441no—
1395C4—441no—
1396C4—441no—
1397C4—441no—
1398C4—441no—
1399C2—24no—
1400C2—42no—
1401C2—42no—
1402C2C2×D11×#12611yescharacteristic
1403C2#1308190811yescharacteristic
1404C2#1308199811yescharacteristic
1405C2#1308216711yescharacteristic
1406C2#1308216711yescharacteristic
1407C2#1308217111yescharacteristic
1408C2#1308217111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2480C2
prime radicalC25×C11C23
hypercenter#2480D11
hypocenterC11#34814
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. #13073046C2semidirect
2. #13073042C2semidirect
3. #13073035C2semidirect
4. #13073031C2semidirect
5. #13073024C2semidirect
6. #13073020C2semidirect
7. #13073013C2semidirect
8. #13073009C2semidirect
9. #13073007C2semidirect
10. #13073003C2semidirect
11. #13072999C2semidirect
12. #13072995C2semidirect
16. #13071918C2semidirect
17. #13071913C2semidirect
18. #13071913C2semidirect
19. #13071913C2semidirect
20. #13071170C2semidirect
21. #13071170C2semidirect
22. #13071170C2semidirect
23. #126×Dic11C2semidirect
24. #13071095C2semidirect
25. #13071095C2semidirect
26. #13071018C2semidirect
29. C4×#66930C2semidirect
66. #10622599C22semidirect
67. #10622599C22semidirect
68. #10622599C22semidirect
69. #10622595C22semidirect
70. #10622595C22semidirect
71. #10622595C22semidirect
72. #10622594C22semidirect
73. #10622594C22semidirect
74. #10622594C22semidirect
75. #10622591C22semidirect
76. #10622591C22semidirect
77. #10622591C22semidirect
78. #10622589C22semidirect
79. #10622589C22semidirect
80. C4⋊C4×Dic11C22semidirect
81. C4⋊C4×Dic11C22semidirect
82. C4⋊C4×Dic11C22semidirect
83. C4⋊C4×Dic11C22semidirect
84. C4⋊C4×Dic11C22semidirect
85. C4⋊C4×Dic11C22semidirect
86. #10622585C22semidirect
87. #10622585C22semidirect
88. #10622585C22semidirect
89. #10622585C22semidirect
147. #10622550C22semidirect
148. #10622546C22semidirect
149. #10622546C22semidirect
150. #10622546C22semidirect
151. C4×Dic11⋊C4C22semidirect
152. C4×Dic11⋊C4C22semidirect
153. C42×Dic11C22semidirect
154. C42×Dic11C22semidirect
155. C11⋊#401C22semidirect
156. C11⋊#401C22semidirect
157. C11⋊#401C22semidirect
158. C11⋊#401C22semidirect
159. #10622273C22semidirect
160. #10622273C22semidirect
161. #10622273C22semidirect
162. #10622271C22semidirect
163. #10622271C22semidirect
164. #10622271C22semidirect
165. #10622267C22semidirect
166. #10622267C22semidirect
167. #10622267C22semidirect
168. #10622264C22semidirect
169. #10622264C22semidirect
170. #10622264C22semidirect
171. #10622263C22semidirect
172. #10622263C22semidirect
173. #10622262C22semidirect
174. #10622262C22semidirect
175. #10622262C22semidirect
176. #10622262C22semidirect
177. #10622262C22semidirect
178. #10622262C22semidirect
179. #10622262C22semidirect
180. #10622262C22semidirect
181. #10622261C22semidirect
182. #10622261C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
660. C2×Dic11#126semidirect
1218. C11#34814semidirect

Maximal subgroups

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

subgroupindex
#130730462
#130730422
#130730352
#130730312
#130730242
#130730202
#130730132
#130730092
#130730072
#130730032
#130729992
#130729952
#130728612
#130728592
#130728562
#130719182
#130719132
#130711702
#126×Dic112
#130710952
#130710182
#130709942
C4×#669302
C2×C22⋊C4×Dic112
C11×#24802
#3481411