Finite Group Databasebeta

← #14962191

Subgroups — #14962191

Order 2816.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076929C211yesmaximal, characteristic, complemented
2#13076915C211yesmaximal, characteristic, complemented
3#13076281C211yesmaximal, characteristic, complemented
4#13076272C211yesmaximal, characteristic, complemented
5#13076227C211yesmaximal, characteristic, complemented
6#13076051C211yesmaximal, characteristic, complemented
7#13076037C211yesmaximal, characteristic, complemented
8#13076003C211yesmaximal, characteristic, complemented
9#13075940C211yesmaximal, characteristic, complemented
10#13075841C211yesmaximal, characteristic, complemented
11#13075753C211yesmaximal, characteristic, complemented
12#13075736C211yesmaximal, characteristic, complemented
13#13075657C211yesmaximal, characteristic, complemented
14#13075653C211yesmaximal, characteristic, complemented
15#13075615C211yesmaximal, characteristic, complemented
16#13075249C211yesmaximal, characteristic, complemented
17#13075003C211yesmaximal, characteristic, complemented
18#13074994C211yesmaximal, characteristic, complemented
19#13074400C211yesmaximal, characteristic, complemented
20#13074360C211yesmaximal, characteristic, complemented
21#13073180C211yesmaximal, characteristic, complemented
22#13072940C211yesmaximal, characteristic, complemented
23#13072362C211yesmaximal, characteristic, complemented
24#13072277C211yesmaximal, characteristic, complemented
25#13072173C211yesmaximal, characteristic, complemented
26#13072013C211yesmaximal, characteristic, complemented
27#13071939C211yesmaximal, characteristic, complemented
28#13071277C211yesmaximal, characteristic, complemented
29#13071194C211yesmaximal, characteristic, complemented
30C2×#10622557C211yesmaximal, characteristic, complemented
31C11×#2410C211yesmaximal, characteristic
32C23×D4×C11C2211yescharacteristic
33C2×C11×#121C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×C11×#120C2211yescharacteristic
36C2×C11×#120C2211yescharacteristic
37C22×C11×C22⋊C4C2211yescharacteristic
38C22×C22⋊Dic11C2211yescharacteristic
39C22×C22⋊Dic11C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C2×#66989C2211yescharacteristic, complemented
42C2×#66988C2211yescharacteristic
43C2×#66988C2211yescharacteristic
44C2×#66988C2211yescharacteristic, complemented
45C2×D4×Dic11C2211yescharacteristic, complemented
46C2×#66977C2211yescharacteristic, complemented
47C22×Dic11⋊C4C2211yescharacteristic, complemented
48C22×C4×Dic11C2211yescharacteristic, complemented
49C2×#66932C2211yescharacteristic, complemented
50C2×#66931C2211yescharacteristic, complemented
51C11×#394C2211yescharacteristic
52C11×#394C2211yescharacteristic
53C11×#392C2211yescharacteristic
54C11×#392C2211yescharacteristic
55C11×#386C2211yescharacteristic
56C11×#386C2211yescharacteristic
57C11×#386C2211yescharacteristic
58C11×#385C2211yescharacteristic
59C11×#379C2211yescharacteristic
60#10622860C2211yescharacteristic
61#10622860C2211yescharacteristic
62#10622860C2211yescharacteristic
63#10622860C2211yescharacteristic
64#10622860C2211yescharacteristic
65#10622835C2211yescharacteristic
66#10622835C2211yescharacteristic
67#10622835C2211yescharacteristic
68#10622835C2211yescharacteristic
69#10622835C2211yescharacteristic
70#10622835C2211yescharacteristic
71#10622835C2211yescharacteristic, complemented
72#10622835C2211yescharacteristic, complemented
73#10622835C2211yescharacteristic, complemented
74#10622835C2211yescharacteristic, complemented
75#10622834C2211yescharacteristic
76#10622834C2211yescharacteristic, complemented
77#10622834C2211yescharacteristic, complemented
78#10622833C2211yescharacteristic
79#10622833C2211yescharacteristic
80#10622833C2211yescharacteristic
81#10622833C2211yescharacteristic
82#10622833C2211yescharacteristic
83#10622833C2211yescharacteristic
84#10622833C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622833C2211yescharacteristic
87#10622833C2211yescharacteristic
88#10622833C2211yescharacteristic
89#10622833C2211yescharacteristic, complemented
90#10622833C2211yescharacteristic, complemented
91#10622833C2211yescharacteristic, complemented
92#10622833C2211yescharacteristic, complemented
93#10622833C2211yescharacteristic, complemented
94#10622833C2211yescharacteristic, complemented
95#10622833C2211yescharacteristic, complemented
96#10622825C2211yescharacteristic, complemented
97#10622824C2211yescharacteristic
98#10622824C2211yescharacteristic
99#10622823C2211yescharacteristic
100#10622823C2211yescharacteristic
101#10622823C2211yescharacteristic, complemented
102#10622823C2211yescharacteristic, complemented
103C2×C11⋊#95C2211yescharacteristic, complemented
104C2×C11⋊#95C2211yescharacteristic, complemented
105#10622599C2211yescharacteristic, complemented
106#10622597C2211yescharacteristic, complemented
107#10622593C2211yescharacteristic, complemented
108#10622593C2211yescharacteristic, complemented
109#10622591C2211yescharacteristic, complemented
110#10622590C2211yescharacteristic, complemented
111#10622587C2211yescharacteristic, complemented
112#10622585C2211yescharacteristic, complemented
113#10622566C2211yescharacteristic, complemented
114#10622566C2211yescharacteristic, complemented
115#10622565C2211yescharacteristic
116#10622565C2211yescharacteristic
117#10622565C2211yescharacteristic, complemented
118#10622565C2211yescharacteristic, complemented
119#10622565C2211yescharacteristic, complemented
120#10622565C2211yescharacteristic, complemented
121#10622565C2211yescharacteristic, complemented
122#10622565C2211yescharacteristic, complemented
123#10622564C2211yescharacteristic
124#10622564C2211yescharacteristic
125#10622564C2211yescharacteristic, complemented
126#10622564C2211yescharacteristic, complemented
127#10622564C2211yescharacteristic, complemented
128#10622564C2211yescharacteristic, complemented
129#10622564C2211yescharacteristic, complemented
130#10622563C2211yescharacteristic, complemented
131#10622563C2211yescharacteristic, complemented
132#10622562C2211yescharacteristic
133#10622562C2211yescharacteristic, complemented
134#10622562C2211yescharacteristic, complemented
135#10622561C2211yescharacteristic
136#10622561C2211yescharacteristic
137#10622561C2211yescharacteristic, complemented
138#10622561C2211yescharacteristic, complemented
139#10622561C2211yescharacteristic, complemented
140#10622561C2211yescharacteristic, complemented
141#10622561C2211yescharacteristic, complemented
142#10622560C2211yescharacteristic
143#10622560C2211yescharacteristic, complemented
144#10622559C2211yescharacteristic, complemented
145#10622559C2211yescharacteristic, complemented
146#10622558C2211yescharacteristic, complemented
147#10622558C2211yescharacteristic, complemented
148#10622558C2211yescharacteristic, complemented
149#10622558C2211yescharacteristic, complemented
150#10622558C2211yescharacteristic, complemented
151#10622558C2211yescharacteristic, complemented
152#10622558C2211yescharacteristic, complemented
153#10622557C2211yescharacteristic
154#10622557C2211yescharacteristic
155#10622557C2211yescharacteristic
156#10622557C2211yescharacteristic
157#10622557C2211yescharacteristic, complemented
158#10622557C2211yescharacteristic, complemented
159#10622557C2211yescharacteristic, complemented
160#10622557C2211yescharacteristic, complemented
161#10622557C2211yescharacteristic, complemented
162#10622557C2211yescharacteristic, complemented
163#10622557C2211yescharacteristic, complemented
164#10622556C2211yescharacteristic, complemented
165#10622556C2211yescharacteristic, complemented
166#10622555C2211yescharacteristic, complemented
167#10622555C2211yescharacteristic, complemented
168#10622555C2211yescharacteristic, complemented
169#10622555C2211yescharacteristic, complemented
170C22⋊C4×Dic11C2211yescharacteristic, complemented
171C11⋊#401C2211yescharacteristic, complemented
172#10622273C2211yescharacteristic, complemented
173#10622273C2211yescharacteristic, complemented
174#10622271C2211yescharacteristic, complemented
175#10622271C2211yescharacteristic, complemented
176#10622271C2211yescharacteristic, complemented
177#10622270C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622264C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C25×C11C2311yescharacteristic
189C22×D4×C11—24no—
190C22×D4×C11—42no—
191C22×D4×C11—42no—
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C22×D4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C11×#121—42no—
213C11×#121—42no—
214C11×#120—24no—
215C11×#120—42no—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4—42no—
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×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C22⋊Dic11—24no—
235C2×C22⋊Dic11—42no—
236C2×C22⋊Dic11—42no—
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278#66989—42no—
279#66988—42no—
280#66988—42no—
281#66988—42no—
282D4×Dic11—42no—
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289#66977—42no—
290C2×Dic11⋊C4—42no—
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×C4×Dic11—42no—
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317#66932—42no—
318#66931—42no—
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
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#36779—111nomaximal, Sylow
364C24×C11—22no—
365C24×C11—22no—
366C24×C11—22no—
367C24×C11—41no—
368C24×C11—41no—
369C24×C11—41no—
370C24×C11—41no—
371C24×C11—41no—
372C24×C11—41no—
373C24×C11—41no—
374C24×C11—41no—
375C24×C11—41no—
376C24×C11—41no—
377C24×C11#4114yes—
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C24×C11C2411yescharacteristic
381C24×C11C2411yescharacteristic
382C24×C11C2411yescharacteristic
383C24×C11C2411yescharacteristic
384C2×D4×C11—22no—
385C2×D4×C11—22no—
386C2×D4×C11—22no—
387C2×D4×C11—22no—
388C2×D4×C11—22no—
389C2×D4×C11—22no—
390C2×D4×C11—22no—
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—22no—
396C2×D4×C11—22no—
397C2×D4×C11—22no—
398C2×D4×C11—41no—
399C2×D4×C11—41no—
400C2×D4×C11—41no—
401C2×D4×C11—41no—
402C2×D4×C11—41no—
403C2×D4×C11—41no—
404C2×D4×C11—41no—
405C2×D4×C11—41no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C2×D4×C11—41no—
410C2×D4×C11—41no—
411C2×D4×C11—416no—
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11—41no—
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—22no—
435C22×Dic11—22no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11—41no—
441C22×Dic11—41no—
442C22×Dic11—41no—
443C22×Dic11—41no—
444C22×Dic11—41no—
445C22×Dic11—41no—
446C22×Dic11—41no—
447C22×Dic11—41no—
448C22×Dic11—41no—
449C22×Dic11—41no—
450C22×Dic11—41no—
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C2×Dic22—22no—
468C2×Dic22—41no—
469C2×Dic22—41no—
470C11×C4⋊C4—41no—
471C11×C4⋊C4—41no—
472C11×C22⋊C4—22no—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—22no—
475C11×C22⋊C4—22no—
476C11×C22⋊C4—22no—
477C11×C22⋊C4—22no—
478C11×C22⋊C4—41no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4—41no—
484C11×C22⋊C4—41no—
485C11×C22⋊C4—41no—
486C11×C22⋊C4—41no—
487C22⋊Dic11—22no—
488C22⋊Dic11—22no—
489C22⋊Dic11—22no—
490C22⋊Dic11—22no—
491C22⋊Dic11—22no—
492C22⋊Dic11—22no—
493C22⋊Dic11—22no—
494C22⋊Dic11—22no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
497C22⋊Dic11—41no—
498C22⋊Dic11—41no—
499C22⋊Dic11—41no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
505C22⋊Dic11—41no—
506C22⋊Dic11—41no—
507C22⋊Dic11—41no—
508C22⋊Dic11—41no—
509C22⋊Dic11—41no—
510C22⋊Dic11—41no—
511C22⋊Dic11—41no—
512C22⋊Dic11—41no—
513C22⋊Dic11—41no—
514C22⋊Dic11—41no—
515C22⋊Dic11—41no—
516C22⋊Dic11—41no—
517C22⋊Dic11—41no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521C22⋊Dic11—41no—
522C22⋊Dic11—41no—
523C22⋊Dic11—41no—
524C22⋊Dic11—41no—
525C22⋊Dic11—41no—
526C22⋊Dic11—41no—
527C22⋊Dic11—41no—
528C4⋊Dic11—41no—
529C4⋊Dic11—41no—
530C4⋊Dic11—41no—
531C4⋊Dic11—41no—
532C4⋊Dic11—41no—
533C4⋊Dic11—41no—
534Dic11⋊C4—22no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549Dic11⋊C4—41no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552C4×Dic11—22no—
553C4×Dic11—22no—
554C4×Dic11—41no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559#2852—111no—
560#2850—111no—
561#2781—111no—
562#2781—111no—
563#2778—111no—
564#2765—111no—
565#2764—111no—
566#2761—111no—
567#2756—111no—
568#2749—111no—
569#2743—111no—
570#2741—111no—
571#2735—111no—
572#2735—111no—
573#2730—111no—
574#2702—111no—
575#2685—111no—
576#2684—111no—
577#2623—111no—
578#2618—111no—
579#2510—111no—
580#2488—111no—
581#2444—111no—
582#2437—111no—
583#2425—111no—
584#2412—111no—
585#2410D1111yescharacteristic
586#2405—111no—
587#2321—111no—
588#2308—111no—
589C2×#388—111no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—28no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—44no—
629C23×C11—44no—
630C23×C11—44no—
631C23×C11—82no—
632C23×C11—82no—
633C23×C11—82no—
634C23×C11—82no—
635C23×C11—82no—
636C23×C11—82no—
637C23×C11—82no—
638C23×C11—82no—
639C23×C11—82no—
640C23×C11—82no—
641C23×C11C2×#4112yes—
642C23×C11C2×#4112yes—
643C23×C11C2×#4112yes—
644C23×C11H(5,𝔽2)12yes—
645C23×C11H(5,𝔽2)12yes—
646C23×C11C2511yescharacteristic
647D4×C11—44no—
648D4×C11—44no—
649D4×C11—44no—
650D4×C11—44no—
651D4×C11—44no—
652D4×C11—82no—
653D4×C11—82no—
654D4×C11—82no—
655D4×C11—82no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—44no—
683C2×C4×C11—44no—
684C2×C4×C11—82no—
685C2×C4×C11H(5,𝔽2)12yes—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—44no—
735C2×Dic11—44no—
736C2×Dic11—44no—
737C2×Dic11—82no—
738C2×Dic11—82no—
739C2×Dic11—82no—
740C2×Dic11—82no—
741Dic22—82no—
742C23×D4C2×D1111yescharacteristic
743C2×#126—111no—
744C2×#124—111no—
745C2×#123—111no—
746C2×#123—111no—
747C2×#123—111no—
748C2×C22⋊Q8—111no—
749C2×C22⋊Q8—111no—
750C2×#121C2×D1111yescharacteristic
751C2×#121C2×D1111yescharacteristic
752C2×#120C2×D1111yescharacteristic
753C2×#120C2×D1111yescharacteristic
754C2×C4×D4—111no—
755C22×C4⋊C4—111no—
756C22×C22⋊C4—111no—
757C22×C22⋊C4—111no—
758C22×C22⋊C4—111no—
759C22×C22⋊C4C2×D1111yescharacteristic
760C22×C42—111no—
761#401—111no—
762#400—111no—
763#400—111no—
764#400—111no—
765#400—111no—
766#400—111no—
767#400—111no—
768#399—111no—
769#399—111no—
770#399—111no—
771#398—111no—
772#398—111no—
773#398—111no—
774#398—111no—
775#398—111no—
776#397—111no—
777#397—111no—
778#397—111no—
779#397—111no—
780#397—111no—
781#397—111no—
782#397—111no—
783#397—111no—
784#397—111no—
785#397—111no—
786#396—111no—
787#396—111no—
788#396—111no—
789#396—111no—
790#396—111no—
791#396—111no—
792#396—111no—
793#394—111no—
794#394—111no—
795#394—111no—
796#394—111no—
797#394—111no—
798#394—111no—
799#394—111no—
800#394—111no—
801#394—111no—
802#394—111no—
803#394C2×D1111yescharacteristic
804#394C2×D1111yescharacteristic
805#393—111no—
806#393—111no—
807#392C2×D1111yescharacteristic
808#392C2×D1111yescharacteristic
809#391—111no—
810#391—111no—
811#390—111no—
812#390—111no—
813#390—111no—
814#389—111no—
815#388—111no—
816#388—111no—
817#388—111no—
818#388—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#388—111no—
824#388—111no—
825#388—111no—
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388—111no—
837#388—111no—
838#388—111no—
839#388—111no—
840#387—111no—
841#387—111no—
842#387—111no—
843#387—111no—
844#387—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#386—111no—
849#386—111no—
850#386—111no—
851#386—111no—
852#386—111no—
853#386—111no—
854#386—111no—
855#386—111no—
856#386—111no—
857#386—111no—
858#386—111no—
859#386—111no—
860#386—111no—
861#386—111no—
862#386—111no—
863#386C2×D1111yescharacteristic
864#386C2×D1111yescharacteristic
865#386C2×D1111yescharacteristic
866#385—111no—
867#385—111no—
868#385—111no—
869#385—111no—
870#385—111no—
871#385—111no—
872#385—111no—
873#385—111no—
874#385C2×D1111yescharacteristic
875#383—111no—
876#383—111no—
877#382—111no—
878#382—111no—
879#381—111no—
880#381—111no—
881#381—111no—
882#381—111no—
883#380—111no—
884#380—111no—
885#380—111no—
886#380—111no—
887#380—111no—
888#379—111no—
889#379—111no—
890#379—111no—
891#379—111no—
892#379—111no—
893#379C2×D1111yescharacteristic
894C4×C22⋊C4—111no—
895C2×#95—111no—
896C2×#95—111no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11—22no—
900C22×C11—22no—
901C22×C11—22no—
902C22×C11—22no—
903C22×C11—22no—
904C22×C11—22no—
905C22×C11—22no—
906C22×C11—22no—
907C22×C11—22no—
908C22×C11—22no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—88no—
939C22×C11—88no—
940C22×C11#53814yes—
941C22×C11C22×#4111yescharacteristic
942C22×C11C2×H(5,𝔽2)11yescharacteristic
943C22×C11C2×H(5,𝔽2)11yescharacteristic
944C22×C11C2×H(5,𝔽2)11yescharacteristic
945C22×C11#58511yescharacteristic
946C22×C11#58511yescharacteristic
947C22×C11#58511yescharacteristic
948C4×C11—22no—
949C4×C11—41no—
950C4×C11—41no—
951C4×C11—41no—
952C4×C11—41no—
953C4×C11—41no—
954C4×C11—41no—
955C4×C11—41no—
956C4×C11—41no—
957Dic11—41no—
958Dic11—41no—
959Dic11—41no—
960Dic11—41no—
961Dic11—41no—
962Dic11—41no—
963Dic11—41no—
964Dic11—41no—
965Dic11—41no—
966Dic11—41no—
967Dic11—41no—
968Dic11—41no—
969Dic11—41no—
970Dic11—41no—
971Dic11—41no—
972Dic11—41no—
973C25C22×D1111yescharacteristic
974C25C22×D1111yescharacteristic
975C22×Q8—111no—
976C22×D4—24no—
977C22×D4—42no—
978C22×D4—42no—
979C22×D4C22×D1111yescharacteristic
980C22×D4C22×D1111yescharacteristic
981C22×D4C22×D1111yescharacteristic
982C22×D4C22×D1111yescharacteristic
983C22×D4C22×D1111yescharacteristic
984C22×D4C22×D1111yescharacteristic
985C22×D4C22×D1111yescharacteristic
986C22×D4C22×D1111yescharacteristic
987C22×D4C22×D1111yescharacteristic
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—111no—
995C23×C4C22×D1111yescharacteristic
996C23×C4C22×D1111yescharacteristic
997C23×C4C22×D1111yescharacteristic
998#126—442no—
999#124—442no—
1000#123—442no—
1001#123—442no—
1002#123—442no—
1003C22⋊Q8—442no—
1004C22⋊Q8—442no—
1005#121—42no—
1006#121—42no—
1007#120—24no—
1008#120—42no—
1009C4×D4—442no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4—111no—
1030C2×C4⋊C4—111no—
1031C2×C4⋊C4—111no—
1032C2×C4⋊C4—111no—
1033C2×C4⋊C4—111no—
1034C2×C4⋊C4—442no—
1035C2×C4⋊C4C22×D1111yescharacteristic
1036C2×C4⋊C4C22×D1111yescharacteristic
1037C2×C22⋊C4—42no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—224no—
1080C2×C22⋊C4—442no—
1081C2×C22⋊C4—442no—
1082C2×C22⋊C4C22×D1111yescharacteristic
1083C2×C22⋊C4C22×D1111yescharacteristic
1084C2×C22⋊C4C22×D1111yescharacteristic
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C22⋊C4C22×D1111yescharacteristic
1090C2×C22⋊C4C22×D1111yescharacteristic
1091C2×C22⋊C4C22×D1111yescharacteristic
1092C2×C22⋊C4C22×D1111yescharacteristic
1093C2×C22⋊C4C22×D1111yescharacteristic
1094C2×C22⋊C4C22×D1111yescharacteristic
1095C2×C22⋊C4C22×D1111yescharacteristic
1096C2×C22⋊C4C22×D1111yescharacteristic
1097C2×C42—111no—
1098C2×C42—111no—
1099C2×C42—111no—
1100C2×C42—111no—
1101C2×C42—111no—
1102C2×C42—111no—
1103C2×C42—111no—
1104C2×C42—442no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95C22×D1111yescharacteristic
1146#95C22×D1111yescharacteristic
1147#95C22×D1111yescharacteristic
1148#95C22×D1111yescharacteristic
1149C2×C11—24no—
1150C2×C11—42no—
1151C2×C11—42no—
1152C2×C11—81no—
1153C2×C11—81no—
1154C2×C11—81no—
1155C2×C11C2×#53811yescharacteristic
1156C2×C11#349111yescharacteristic
1157C2×C11#350511yescharacteristic
1158C2×C11#353411yescharacteristic
1159C2×C11#354211yescharacteristic
1160C2×C11#354511yescharacteristic
1161C2×C11#356011yescharacteristic
1162C24—22no—
1163C24—22no—
1164C24—22no—
1165C24—41no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—41no—
1170C24—41no—
1171C24—41no—
1172C24—41no—
1173C24—41no—
1174C24—41no—
1175C24#434114yes—
1176C24C23×D1111yescharacteristic
1177C24C23×D1111yescharacteristic
1178C24C23×D1111yescharacteristic
1179C24C23×D1111yescharacteristic
1180C24C23×D1111yescharacteristic
1181C24C23×D1111yescharacteristic
1182C2×Q8—222no—
1183C2×Q8—441no—
1184C2×Q8—441no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—416no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—111no—
1233C22×C4—111no—
1234C22×C4—111no—
1235C22×C4—111no—
1236C22×C4—111no—
1237C22×C4—111no—
1238C22×C4—222no—
1239C22×C4—222no—
1240C22×C4—222no—
1241C22×C4—222no—
1242C22×C4—222no—
1243C22×C4—222no—
1244C22×C4—441no—
1245C22×C4—441no—
1246C22×C4—441no—
1247C22×C4—441no—
1248C22×C4—441no—
1249C22×C4—441no—
1250C22×C4—441no—
1251C22×C4—441no—
1252C22×C4—441no—
1253C22×C4—441no—
1254C22×C4—441no—
1255C22×C4—441no—
1256C22×C4—441no—
1257C22×C4—441no—
1258C22×C4—441no—
1259C22×C4C23×D1111yescharacteristic
1260C22×C4C23×D1111yescharacteristic
1261C22×C4C23×D1111yescharacteristic
1262C22×C4C23×D1111yescharacteristic
1263C22×C4C23×D1111yescharacteristic
1264C22×C4C23×D1111yescharacteristic
1265C22×C4C23×D1111yescharacteristic
1266C22×C4C23×D1111yescharacteristic
1267C22×C4C23×D1111yescharacteristic
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—222no—
1271C4⋊C4—441no—
1272C4⋊C4—441no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C4⋊C4—441no—
1278C4⋊C4—441no—
1279C4⋊C4—441no—
1280C4⋊C4—441no—
1281C4⋊C4—441no—
1282C4⋊C4—441no—
1283C4⋊C4—441no—
1284C4⋊C4—441no—
1285C4⋊C4—441no—
1286C4⋊C4—441no—
1287C4⋊C4—441no—
1288C4⋊C4—441no—
1289C4⋊C4—441no—
1290C4⋊C4—441no—
1291C4⋊C4—441no—
1292C4⋊C4—441no—
1293C4⋊C4—441no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—222no—
1310C22⋊C4—222no—
1311C22⋊C4—222no—
1312C22⋊C4—222no—
1313C22⋊C4—222no—
1314C22⋊C4—222no—
1315C22⋊C4—222no—
1316C22⋊C4—222no—
1317C22⋊C4—441no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4—441no—
1323C22⋊C4—441no—
1324C22⋊C4—441no—
1325C22⋊C4—441no—
1326C22⋊C4—441no—
1327C22⋊C4—441no—
1328C22⋊C4—441no—
1329C22⋊C4—441no—
1330C22⋊C4—441no—
1331C22⋊C4—441no—
1332C22⋊C4—441no—
1333C22⋊C4—441no—
1334C22⋊C4—441no—
1335C22⋊C4—441no—
1336C22⋊C4—441no—
1337C22⋊C4—441no—
1338C22⋊C4—441no—
1339C22⋊C4—441no—
1340C22⋊C4—441no—
1341C22⋊C4—441no—
1342C22⋊C4—441no—
1343C22⋊C4—441no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4—441no—
1349C22⋊C4—441no—
1350C42—222no—
1351C42—222no—
1352C42—441no—
1353C42—441no—
1354C42—441no—
1355C42—441no—
1356C42—441no—
1357C11#3677911yescharacteristic, complemented, Sylow
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—28no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—44no—
1397C23—44no—
1398C23—44no—
1399C23—82no—
1400C23—82no—
1401C23—82no—
1402C23—82no—
1403C23—82no—
1404C23—82no—
1405C23—82no—
1406C23—82no—
1407C23—82no—
1408C23—82no—
1409C23C2×#434112yes—
1410C23C2×#434112yes—
1411C23C2×#434112yes—
1412C23#6703712yes—
1413C23#6703712yes—
1414C23C24×D1111yescharacteristic
1415Q8—882no—
1416D4—44no—
1417D4—44no—
1418D4—44no—
1419D4—44no—
1420D4—44no—
1421D4—82no—
1422D4—82no—
1423D4—82no—
1424D4—82no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—44no—
1452C2×C4—44no—
1453C2×C4—82no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—444no—
1503C2×C4—444no—
1504C2×C4—444no—
1505C2×C4—882no—
1506C2×C4—882no—
1507C2×C4—882no—
1508C2×C4—882no—
1509C2×C4#6703712yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—88no—
1552C22—88no—
1553C22#1062312414yes—
1554C22C22×#434111yescharacteristic
1555C22C2×#6703711yescharacteristic
1556C22C2×#6703711yescharacteristic
1557C22C2×#6703711yescharacteristic
1558C22#1062345311yescharacteristic
1559C22#1062345511yescharacteristic
1560C22#1062345511yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—441no—
1571C4—441no—
1572C4—441no—
1573C4—441no—
1574C4—441no—
1575C4—441no—
1576C4—441no—
1577C4—441no—
1578C4—441no—
1579C4—441no—
1580C4—441no—
1581C4—441no—
1582C4—441no—
1583C4—441no—
1584C4—441no—
1585C4—441no—
1586C2—24no—
1587C2—42no—
1588C2—42no—
1589C2—81no—
1590C2—81no—
1591C2—81no—
1592C2C2×#1062312411yescharacteristic
1593C2#1308231311yescharacteristic
1594C2#1308245011yescharacteristic
1595C2#1308279411yescharacteristic
1596C2#1308293711yescharacteristic
1597C2#1308296311yescharacteristic
1598C2#1308315611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
Fitting, prime radicalC11×#2410C2
hypercenter#2410D11
hypocenterC11#36779
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. #13076929C2semidirect
2. #13076915C2semidirect
3. #13076281C2semidirect
4. #13076272C2semidirect
5. #13076227C2semidirect
6. #13076051C2semidirect
7. #13076037C2semidirect
8. #13076003C2semidirect
9. #13075940C2semidirect
10. #13075841C2semidirect
11. #13075753C2semidirect
12. #13075736C2semidirect
13. #13075657C2semidirect
14. #13075653C2semidirect
15. #13075615C2semidirect
16. #13075249C2semidirect
17. #13075003C2semidirect
18. #13074994C2semidirect
19. #13074400C2semidirect
20. #13074360C2semidirect
21. #13073180C2semidirect
22. #13072940C2semidirect
23. #13072362C2semidirect
24. #13072277C2semidirect
25. #13072173C2semidirect
26. #13072013C2semidirect
27. #13071939C2semidirect
28. #13071277C2semidirect
29. #13071194C2semidirect
30. C2×#10622557C2semidirect
41. C2×#66989C22semidirect
44. C2×#66988C22semidirect
45. C2×D4×Dic11C22semidirect
46. C2×#66977C22semidirect
47. C22×Dic11⋊C4C22semidirect
48. C22×C4×Dic11C22semidirect
49. C2×#66932C22semidirect
50. C2×#66931C22semidirect
71. #10622835C22semidirect
72. #10622835C22semidirect
73. #10622835C22semidirect
74. #10622835C22semidirect
76. #10622834C22semidirect
77. #10622834C22semidirect
89. #10622833C22semidirect
90. #10622833C22semidirect
91. #10622833C22semidirect
92. #10622833C22semidirect
93. #10622833C22semidirect
94. #10622833C22semidirect
95. #10622833C22semidirect
96. #10622825C22semidirect
101. #10622823C22semidirect
102. #10622823C22semidirect
103. C2×C11⋊#95C22semidirect
104. C2×C11⋊#95C22semidirect
105. #10622599C22semidirect
106. #10622597C22semidirect
107. #10622593C22semidirect
108. #10622593C22semidirect
109. #10622591C22semidirect
110. #10622590C22semidirect
111. #10622587C22semidirect
112. #10622585C22semidirect
113. #10622566C22semidirect
114. #10622566C22semidirect
117. #10622565C22semidirect
118. #10622565C22semidirect
119. #10622565C22semidirect
120. #10622565C22semidirect
121. #10622565C22semidirect
122. #10622565C22semidirect
125. #10622564C22semidirect
126. #10622564C22semidirect
127. #10622564C22semidirect
128. #10622564C22semidirect
129. #10622564C22semidirect
130. #10622563C22semidirect
131. #10622563C22semidirect
133. #10622562C22semidirect
134. #10622562C22semidirect
137. #10622561C22semidirect
138. #10622561C22semidirect
139. #10622561C22semidirect
140. #10622561C22semidirect
141. #10622561C22semidirect
143. #10622560C22semidirect
144. #10622559C22semidirect
145. #10622559C22semidirect
146. #10622558C22semidirect
147. #10622558C22semidirect
148. #10622558C22semidirect
149. #10622558C22semidirect
150. #10622558C22semidirect
151. #10622558C22semidirect
152. #10622558C22semidirect
157. #10622557C22semidirect
158. #10622557C22semidirect
159. #10622557C22semidirect
160. #10622557C22semidirect
161. #10622557C22semidirect
162. #10622557C22semidirect
163. #10622557C22semidirect
164. #10622556C22semidirect
165. #10622556C22semidirect
166. #10622555C22semidirect
167. #10622555C22semidirect
168. #10622555C22semidirect
169. #10622555C22semidirect
170. C22⋊C4×Dic11C22semidirect
171. C11⋊#401C22semidirect
172. #10622273C22semidirect
173. #10622273C22semidirect
174. #10622271C22semidirect
175. #10622271C22semidirect
176. #10622271C22semidirect
177. #10622270C22semidirect
178. #10622270C22semidirect
179. #10622268C22semidirect
180. #10622266C22semidirect
181. #10622266C22semidirect
182. #10622265C22semidirect
183. #10622264C22semidirect
184. #10622264C22semidirect
185. #10622263C22semidirect
186. #10622259C22semidirect
1357. C11#36779semidirect

Maximal subgroups

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

subgroupindex
#130769292
#130769152
#130762812
#130762722
#130762272
#130760512
#130760372
#130760032
#130759402
#130758412
#130757532
#130757362
#130756572
#130756532
#130756152
#130752492
#130750032
#130749942
#130744002
#130743602
#130731802
#130729402
#130723622
#130722772
#130721732
#130720132
#130719392
#130712772
#130711942
C2×#106225572
C11×#24102
#3677911