Finite Group Databasebeta

← #14927135

Subgroups — #14927135

Order 2816.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1450 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077007C211yesmaximal, characteristic, complemented
2#13077004C211yesmaximal, characteristic, complemented
3#13076936C211yesmaximal, characteristic, complemented
4#13076930C211yesmaximal, characteristic, complemented
5#13074713C211yesmaximal, characteristic, complemented
6#13074668C211yesmaximal, characteristic, complemented
7#13074653C211yesmaximal, characteristic, complemented
8#13074608C211yesmaximal, characteristic, complemented
9#13074097C211yesmaximal, characteristic, complemented
10#13073965C211yesmaximal, characteristic, complemented
11#13073950C211yesmaximal, characteristic, complemented
12#13073935C211yesmaximal, characteristic, complemented
13#13073920C211yesmaximal, characteristic, complemented
14#13073905C211yesmaximal, characteristic, complemented
15#13073841C211yesmaximal, characteristic, complemented
16#13073578C211yesmaximal, characteristic
17#13073352C211yesmaximal, characteristic, complemented
18#13073229C211yesmaximal, characteristic, complemented
19#13073178C211yesmaximal, characteristic, complemented
20#13072879C211yesmaximal, characteristic, complemented
21#13072676C211yesmaximal, characteristic, complemented
22#13072517C211yesmaximal, characteristic, complemented
23#13072368C211yesmaximal, characteristic, complemented
24#13072353C211yesmaximal, characteristic, complemented
25#13071314C211yesmaximal, characteristic, complemented
26#13071314C211yesmaximal, characteristic, complemented
27#13071249C211yesmaximal, characteristic, complemented
28#13071249C211yesmaximal, characteristic, complemented
29C2×#10622546C211yesmaximal, characteristic, complemented
30C42×C22⋊D11C211yesmaximal, characteristic, complemented
31C4×C11×#121C211yesmaximal, characteristic, complemented
32C2×C11×#121C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C22×C42×C11C2211yescharacteristic
37C2×#66992C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C22×Dic11⋊C4C2211yescharacteristic
43C22×Dic11⋊C4C2211yescharacteristic
44C2×#66936C2211yescharacteristic
45C2×#66932C2211yescharacteristic
46C2×C42×D11C2211yescharacteristic
47C11×#390C2211yescharacteristic
48C11×#389C2211yescharacteristic
49C11×#388C2211yescharacteristic
50C11×#388C2211yescharacteristic
51C11×#386C2211yescharacteristic
52C11×#386C2211yescharacteristic
53C11×#380C2211yescharacteristic
54C4×C11×C4⋊C4C2211yescharacteristic
55C4×C11×C22⋊C4C2211yescharacteristic
56C4×C11×C22⋊C4C2211yescharacteristic
57#10622836C2211yescharacteristic
58#10622835C2211yescharacteristic
59#10622835C2211yescharacteristic
60#10622835C2211yescharacteristic
61#10622833C2211yescharacteristic
62#10622833C2211yescharacteristic
63#10622833C2211yescharacteristic
64#10622833C2211yescharacteristic
65#10622833C2211yescharacteristic
66#10622833C2211yescharacteristic
67#10622826C2211yescharacteristic
68#10622826C2211yescharacteristic
69#10622825C2211yescharacteristic
70#10622825C2211yescharacteristic
71#10622824C2211yescharacteristic
72#10622824C2211yescharacteristic
73#10622823C2211yescharacteristic
74#10622823C2211yescharacteristic
75C4×C22⋊Dic11C2211yescharacteristic
76C4×C22⋊Dic11C2211yescharacteristic
77C4×C22⋊Dic11C2211yescharacteristic
78C2×C11⋊#95C2211yescharacteristic
79C2×C11⋊#95C2211yescharacteristic
80C2×C11⋊#95C2211yescharacteristic
81C2×C11⋊#95C2211yescharacteristic
82#10622607C2211yescharacteristic
83#10622607C2211yescharacteristic
84#10622606C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622602C2211yescharacteristic
87#10622599C2211yescharacteristic
88#10622599C2211yescharacteristic
89#10622597C2211yescharacteristic
90#10622597C2211yescharacteristic
91#10622596C2211yescharacteristic
92#10622596C2211yescharacteristic
93#10622595C2211yescharacteristic
94#10622595C2211yescharacteristic
95#10622594C2211yescharacteristic
96#10622594C2211yescharacteristic
97#10622594C2211yescharacteristic
98#10622594C2211yescharacteristic
99#10622593C2211yescharacteristic
100#10622591C2211yescharacteristic
101#10622591C2211yescharacteristic
102#10622574C2211yescharacteristic
103#10622572C2211yescharacteristic
104#10622571C2211yescharacteristic
105#10622571C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622566C2211yescharacteristic
112#10622565C2211yescharacteristic
113#10622565C2211yescharacteristic
114#10622565C2211yescharacteristic
115#10622564C2211yescharacteristic
116#10622564C2211yescharacteristic
117#10622564C2211yescharacteristic
118#10622564C2211yescharacteristic
119#10622564C2211yescharacteristic
120#10622564C2211yescharacteristic
121#10622563C2211yescharacteristic
122#10622563C2211yescharacteristic
123#10622563C2211yescharacteristic
124#10622563C2211yescharacteristic
125#10622562C2211yescharacteristic
126#10622561C2211yescharacteristic
127#10622558C2211yescharacteristic
128#10622558C2211yescharacteristic
129#10622558C2211yescharacteristic
130#10622558C2211yescharacteristic
131#10622558C2211yescharacteristic
132#10622558C2211yescharacteristic
133#10622557C2211yescharacteristic
134#10622557C2211yescharacteristic
135#10622557C2211yescharacteristic
136#10622557C2211yescharacteristic
137#10622557C2211yescharacteristic
138#10622555C2211yescharacteristic
139#10622555C2211yescharacteristic
140#10622553C2211yescharacteristic
141#10622553C2211yescharacteristic
142C4×(C2×D11)⋊C4C2211yescharacteristic
143C4×(C2×D11)⋊C4C2211yescharacteristic
144C4×(C2×D11)⋊C4C2211yescharacteristic
145#10622550C2211yescharacteristic
146#10622550C2211yescharacteristic
147#10622549C2211yescharacteristic
148#10622549C2211yescharacteristic
149#10622546C2211yescharacteristic
150#10622546C2211yescharacteristic
151#10622546C2211yescharacteristic
152#10622546C2211yescharacteristic
153#10622546C2211yescharacteristic
154#10622546C2211yescharacteristic
155#10622546C2211yescharacteristic
156#10622546C2211yescharacteristic
157#10622546C2211yescharacteristic
158#10622546C2211yescharacteristic
159C4×Dic11⋊C4C2211yescharacteristic
160C4×Dic11⋊C4C2211yescharacteristic
161C4×Dic11⋊C4C2211yescharacteristic
162C42×Dic11C2211yescharacteristic
163#10622288C2211yescharacteristic
164#10622287C2211yescharacteristic
165#10622281C2211yescharacteristic
166#10622281C2211yescharacteristic
167#10622281C2211yescharacteristic
168#10622277C2211yescharacteristic
169C11⋊#401C2211yescharacteristic
170#10622273C2211yescharacteristic
171#10622272C2211yescharacteristic
172#10622271C2211yescharacteristic
173#10622271C2211yescharacteristic
174#10622270C2211yescharacteristic
175#10622268C2211yescharacteristic
176#10622268C2211yescharacteristic
177#10622268C2211yescharacteristic
178#10622267C2211yescharacteristic
179#10622267C2211yescharacteristic
180#10622267C2211yescharacteristic
181#10622266C2211yescharacteristic
182#10622266C2211yescharacteristic
183#10622266C2211yescharacteristic
184#10622265C2211yescharacteristic
185#10622265C2211yescharacteristic
186#10622264C2211yescharacteristic
187C22×D4×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C11×#121—24no—
206C4×D4×C11—24no—
207C4×D4×C11—24no—
208C4×D4×C11—42no—
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊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×C42×C11—42no—
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
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×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248#66992—24no—
249#66992—24no—
250C4×C22⋊D11—24no—
251C4×C22⋊D11—24no—
252C4×C22⋊D11—24no—
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×Dic11⋊C4—24no—
271C2×Dic11⋊C4—42no—
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298#66936—42no—
299#66932—42no—
300C42×D11—42no—
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#35028—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C24×C11C2411yescharacteristic
361C23×D11C2411yescharacteristic
362C2×D4×C11—22no—
363C2×D4×C11—22no—
364C2×D4×C11—22no—
365C2×D4×C11—22no—
366C2×D4×C11—22no—
367C2×D4×C11—22no—
368C2×D4×C11—22no—
369C2×D4×C11—41no—
370C2×D4×C11—41no—
371C22×C4×C11—22no—
372C22×C4×C11—22no—
373C22×C4×C11—22no—
374C22×C4×C11—22no—
375C22×C4×C11—41no—
376C22×C4×C11—41no—
377C22×C4×C11—41no—
378C22×C4×C11—41no—
379C22×C4×C11—41no—
380C22×C4×C11—41no—
381C22×C4×C11—41no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11#4114yes—
385C22×C4×C11#4114yes—
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C2×C22⋊D11—22no—
399C2×C22⋊D11—22no—
400C2×C22⋊D11—22no—
401C2×C22⋊D11—22no—
402C2×C22⋊D11—41no—
403C2×C22⋊D11—41no—
404C2×C22⋊D11—41no—
405C2×C22⋊D11—41no—
406C2×C22⋊D11#4114yes—
407C22×Dic11—22no—
408C22×Dic11—22no—
409C22×Dic11—22no—
410C22×Dic11—22no—
411C22×Dic11—41no—
412C22×Dic11—41no—
413C22×Dic11—41no—
414C22×Dic11—41no—
415C22×Dic11—41no—
416C22×Dic11—41no—
417C22×Dic11—41no—
418C22×Dic11—41no—
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—41no—
439C2×C4×D11—41no—
440C2×C4×D11—41no—
441C2×C4×D11—41no—
442C2×C4×D11—41no—
443C11×C4⋊C4—22no—
444C11×C4⋊C4—22no—
445C11×C4⋊C4—22no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4—41no—
448C11×C22⋊C4—22no—
449C11×C22⋊C4—22no—
450C11×C22⋊C4—22no—
451C11×C22⋊C4—22no—
452C11×C22⋊C4—22no—
453C11×C22⋊C4—22no—
454C11×C22⋊C4—22no—
455C11×C22⋊C4—22no—
456C11×C22⋊C4—41no—
457C11×C22⋊C4—41no—
458C42×C11—22no—
459C42×C11—22no—
460C42×C11—22no—
461C42×C11—22no—
462C42×C11—41no—
463C42×C11—41no—
464C22⋊Dic11—22no—
465C22⋊Dic11—22no—
466C22⋊Dic11—22no—
467C22⋊Dic11—22no—
468C22⋊Dic11—22no—
469C22⋊Dic11—41no—
470C22⋊Dic11—41no—
471C22⋊Dic11—41no—
472C22⋊Dic11—41no—
473C22⋊Dic11—41no—
474C22⋊Dic11—41no—
475C22⋊Dic11—41no—
476C22⋊Dic11—41no—
477C22⋊Dic11—41no—
478C22⋊Dic11—41no—
479C22⋊Dic11—41no—
480C22⋊Dic11—41no—
481(C2×D11)⋊C4—22no—
482(C2×D11)⋊C4—22no—
483(C2×D11)⋊C4—22no—
484(C2×D11)⋊C4—22no—
485(C2×D11)⋊C4—22no—
486(C2×D11)⋊C4—41no—
487(C2×D11)⋊C4—41no—
488(C2×D11)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490C4⋊Dic11—41no—
491C4⋊Dic11—41no—
492C4⋊Dic11—41no—
493C4⋊Dic11—41no—
494C4⋊Dic11—41no—
495C4⋊Dic11—41no—
496C4⋊Dic11—41no—
497C4⋊Dic11—41no—
498Dic11⋊C4—22no—
499Dic11⋊C4—22no—
500Dic11⋊C4—22no—
501Dic11⋊C4—22no—
502Dic11⋊C4—22no—
503Dic11⋊C4—22no—
504Dic11⋊C4—22no—
505Dic11⋊C4—22no—
506Dic11⋊C4—22no—
507Dic11⋊C4—22no—
508Dic11⋊C4—22no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515C4×Dic11—22no—
516C4×Dic11—22no—
517C4×Dic11—22no—
518C4×Dic11—22no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524#2866—111no—
525#2865—111no—
526#2853—111no—
527#2852—111no—
528#2655—111no—
529#2652—111no—
530#2651—111no—
531#2648—111no—
532#2591—111no—
533#2579—111no—
534#2578—111no—
535#2577—111no—
536#2576—111no—
537#2575—111no—
538#2569—111no—
539#2543—111no—
540#2524—111no—
541#2515—111no—
542#2510—111no—
543#2481—111no—
544#2468—111no—
545#2457—111no—
546#2444—111no—
547#2443—111no—
548#2325—111no—
549#2325—111no—
550#2318—111no—
551#2318—111no—
552C4×#121D1111yescharacteristic, complemented
553C2×#387—111no—
554C42×D4—111no—
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—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11C2×#4112yes—
574C23×C11C2×#4112yes—
575C23×C11C2×#4112yes—
576C23×C11C2511yescharacteristic
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11C2×#4112yes—
584D4×C11—44no—
585D4×C11—44no—
586D4×C11—44no—
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—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—44no—
619C2×C4×C11—44no—
620C2×C4×C11—44no—
621C2×C4×C11—82no—
622C2×C4×C11—82no—
623C2×C4×C11C2×#4112yes—
624C2×C4×C11C2×#4112yes—
625C2×C4×C11C2×#4112yes—
626C2×C4×C11C2×#4112yes—
627C2×C4×C11H(5,𝔽2)12yes—
628C22⋊D11—28no—
629C22⋊D11—82no—
630C22⋊D11—82no—
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—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—44no—
676C2×Dic11—44no—
677C2×Dic11—82no—
678C2×Dic11—82no—
679C2×Dic11C2×#4112yes—
680C4×D11—44no—
681C4×D11—44no—
682C4×D11—44no—
683C2×#126—111no—
684C2×#123—111no—
685C2×#121—111no—
686C2×#121—111no—
687C2×#121C2×D1111yescharacteristic
688C2×C4×D4—111no—
689C2×C4×D4—111no—
690C2×C4×D4—111no—
691C2×C4×D4C2×D1111yescharacteristic
692C2×C4×D4C2×D1111yescharacteristic
693C2×C4×D4C2×D1111yescharacteristic
694C22×C4⋊C4—111no—
695C22×C4⋊C4—111no—
696C22×C42—111no—
697C22×C42C2×D1111yescharacteristic
698#401—111no—
699#400—111no—
700#400—111no—
701#400—111no—
702#400—111no—
703#400—111no—
704#400—111no—
705#400—111no—
706#400—111no—
707#399—111no—
708#398—111no—
709#398—111no—
710#398—111no—
711#398—111no—
712#398—111no—
713#398—111no—
714#397—111no—
715#397—111no—
716#397—111no—
717#397—111no—
718#397—111no—
719#397—111no—
720#397—111no—
721#396—111no—
722#396—111no—
723#396—111no—
724#394—111no—
725#394—111no—
726#394—111no—
727#394—111no—
728#394—111no—
729#392—111no—
730#390C2×D1111yescharacteristic
731#389C2×D1111yescharacteristic
732#388—111no—
733#388—111no—
734#388—111no—
735#388—111no—
736#388—111no—
737#388—111no—
738#388—111no—
739#388—111no—
740#388—111no—
741#388—111no—
742#388—111no—
743#388—111no—
744#388—111no—
745#388—111no—
746#388—111no—
747#388—111no—
748#388—111no—
749#388—111no—
750#388—111no—
751#388C2×D1111yescharacteristic
752#388C2×D1111yescharacteristic
753#387—111no—
754#387—111no—
755#387—111no—
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#387—111no—
776#387—111no—
777#387—111no—
778#387—111no—
779#387—111no—
780#386—111no—
781#386—111no—
782#386—111no—
783#386—111no—
784#386—111no—
785#386—111no—
786#386—111no—
787#386—111no—
788#386—111no—
789#386—111no—
790#386—111no—
791#386—111no—
792#386—111no—
793#386—111no—
794#386—111no—
795#386C2×D1111yescharacteristic
796#386C2×D1111yescharacteristic
797#385—111no—
798#385—111no—
799#385—111no—
800#385—111no—
801#385—111no—
802#385—111no—
803#385—111no—
804#385—111no—
805#385—111no—
806#385—111no—
807#385—111no—
808#383—111no—
809#383—111no—
810#383—111no—
811#382—111no—
812#382—111no—
813#381—111no—
814#381—111no—
815#381—111no—
816#380—111no—
817#380—111no—
818#380—111no—
819#380—111no—
820#380C2×D1111yescharacteristic
821C4×C4⋊C4—111no—
822C4×C4⋊C4—111no—
823C4×C4⋊C4—111no—
824C4×C4⋊C4C2×D1111yescharacteristic
825C4×C22⋊C4—111no—
826C4×C22⋊C4—111no—
827C4×C22⋊C4—111no—
828C4×C22⋊C4—111no—
829C4×C22⋊C4—111no—
830C4×C22⋊C4—111no—
831C4×C22⋊C4C2×D1111yescharacteristic
832C4×C22⋊C4C2×D1111yescharacteristic
833C2×#95—111no—
834C2×#95—111no—
835C2×#95—111no—
836C2×#95—111no—
837C43—111no—
838C22×C11—22no—
839C22×C11—22no—
840C22×C11—22no—
841C22×C11—22no—
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—41no—
845C22×C11—41no—
846C22×C11—41no—
847C22×C11—41no—
848C22×C11—41no—
849C22×C11—41no—
850C22×C11—41no—
851C22×C11—41no—
852C22×C11—41no—
853C22×C11—41no—
854C22×C11—41no—
855C22×C11—41no—
856C22×C11—41no—
857C22×C11—41no—
858C22×C11#52914yes—
859C22×C11C22×#4111yescharacteristic
860C22×C11C22×#4111yescharacteristic
861C22×C11C22×#4111yescharacteristic
862C22×C11C2×H(5,𝔽2)11yescharacteristic
863C22×C11#58511yescharacteristic
864C22×C11#58511yescharacteristic
865C22×C11#58511yescharacteristic
866C2×D11—22no—
867C2×D11—22no—
868C2×D11—22no—
869C2×D11—41no—
870C2×D11—41no—
871C2×D11—41no—
872C2×D11—41no—
873C4×C11—22no—
874C4×C11—22no—
875C4×C11—22no—
876C4×C11—22no—
877C4×C11—22no—
878C4×C11—41no—
879C4×C11—41no—
880C4×C11—41no—
881C4×C11—41no—
882C4×C11—41no—
883C4×C11—41no—
884C4×C11—41no—
885Dic11—22no—
886Dic11—41no—
887Dic11—41no—
888Dic11—41no—
889Dic11—41no—
890Dic11—41no—
891Dic11—41no—
892Dic11—41no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896Dic11—41no—
897Dic11—41no—
898Dic11—41no—
899Dic11—41no—
900C22×D4—111no—
901C22×D4—111no—
902C22×D4—111no—
903C22×D4C22×D1111yescharacteristic
904C22×D4C22×D1111yescharacteristic
905C22×D4C22×D1111yescharacteristic
906C23×C4—111no—
907C23×C4—111no—
908C23×C4—111no—
909C23×C4—111no—
910C23×C4—111no—
911C23×C4—111no—
912C23×C4—111no—
913C23×C4C22×D1111yescharacteristic
914C23×C4C22×D1111yescharacteristic
915C23×C4C22×D1111yescharacteristic
916C23×C4C22×D1111yescharacteristic
917C23×C4C22×D1111yescharacteristic
918#126—442no—
919#123—442no—
920#121—24no—
921#121—224no—
922#121—224no—
923C4×D4—24no—
924C4×D4—24no—
925C4×D4—42no—
926C4×D4—224no—
927C4×D4—224no—
928C4×D4—224no—
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—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—224no—
955C2×C4⋊C4—442no—
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⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4—111no—
984C2×C22⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4C22×D1111yescharacteristic
988C2×C22⋊C4C22×D1111yescharacteristic
989C2×C22⋊C4C22×D1111yescharacteristic
990C2×C22⋊C4C22×D1111yescharacteristic
991C2×C22⋊C4C22×D1111yescharacteristic
992C2×C22⋊C4C22×D1111yescharacteristic
993C2×C22⋊C4C22×D1111yescharacteristic
994C2×C22⋊C4C22×D1111yescharacteristic
995C2×C22⋊C4C22×D1111yescharacteristic
996C2×C22⋊C4C22×D1111yescharacteristic
997C2×C42—42no—
998C2×C42—111no—
999C2×C42—111no—
1000C2×C42—111no—
1001C2×C42—111no—
1002C2×C42—111no—
1003C2×C42—111no—
1004C2×C42—111no—
1005C2×C42—111no—
1006C2×C42—111no—
1007C2×C42—442no—
1008C2×C42C22×D1111yescharacteristic
1009C2×C42C22×D1111yescharacteristic
1010C2×C42C22×D1111yescharacteristic
1011C2×C42C22×D1111yescharacteristic
1012C2×C42C22×D1111yescharacteristic
1013C2×C42C22×D1111yescharacteristic
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#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069#95C22×D1111yescharacteristic
1070C2×C11—24no—
1071C2×C11—81no—
1072C2×C11—81no—
1073C2×C11C2×#52911yescharacteristic
1074C2×C11#345511yescharacteristic
1075C2×C11#345911yescharacteristic
1076C2×C11#350511yescharacteristic
1077C2×C11#351211yescharacteristic
1078C2×C11#351311yescharacteristic
1079C2×C11#352111yescharacteristic
1080D11—42no—
1081C24—111no—
1082C24C23×D1111yescharacteristic
1083C24C23×D1111yescharacteristic
1084C24C23×D1111yescharacteristic
1085C2×D4—22no—
1086C2×D4—22no—
1087C2×D4—22no—
1088C2×D4—22no—
1089C2×D4—22no—
1090C2×D4—22no—
1091C2×D4—22no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—114no—
1095C2×D4—222no—
1096C2×D4—222no—
1097C2×D4—222no—
1098C2×D4—222no—
1099C2×D4—441no—
1100C2×D4—441no—
1101C2×D4—441no—
1102C2×D4—441no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—111no—
1119C22×C4—111no—
1120C22×C4—111no—
1121C22×C4—111no—
1122C22×C4—111no—
1123C22×C4—111no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—111no—
1129C22×C4—111no—
1130C22×C4—111no—
1131C22×C4—222no—
1132C22×C4—222no—
1133C22×C4—222no—
1134C22×C4—222no—
1135C22×C4—222no—
1136C22×C4—222no—
1137C22×C4—222no—
1138C22×C4—222no—
1139C22×C4—441no—
1140C22×C4—441no—
1141C22×C4—441no—
1142C22×C4—441no—
1143C22×C4—441no—
1144C22×C4—441no—
1145C22×C4—441no—
1146C22×C4—441no—
1147C22×C4—441no—
1148C22×C4—441no—
1149C22×C4—441no—
1150C22×C4—441no—
1151C22×C4—441no—
1152C22×C4#433914yes—
1153C22×C4#434114yes—
1154C22×C4C23×D1111yescharacteristic
1155C22×C4C23×D1111yescharacteristic
1156C22×C4C23×D1111yescharacteristic
1157C22×C4C23×D1111yescharacteristic
1158C22×C4C23×D1111yescharacteristic
1159C22×C4C23×D1111yescharacteristic
1160C22×C4C23×D1111yescharacteristic
1161C22×C4C23×D1111yescharacteristic
1162C22×C4C23×D1111yescharacteristic
1163C22×C4C23×D1111yescharacteristic
1164C22×C4C23×D1111yescharacteristic
1165C22×C4C23×D1111yescharacteristic
1166C4⋊C4—22no—
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—222no—
1172C4⋊C4—222no—
1173C4⋊C4—222no—
1174C4⋊C4—222no—
1175C4⋊C4—222no—
1176C4⋊C4—222no—
1177C4⋊C4—222no—
1178C4⋊C4—222no—
1179C4⋊C4—222no—
1180C4⋊C4—222no—
1181C4⋊C4—222no—
1182C4⋊C4—441no—
1183C4⋊C4—441no—
1184C4⋊C4—441no—
1185C4⋊C4—441no—
1186C4⋊C4—441no—
1187C4⋊C4—441no—
1188C4⋊C4—441no—
1189C4⋊C4—441no—
1190C4⋊C4—441no—
1191C4⋊C4—441no—
1192C4⋊C4—441no—
1193C4⋊C4—441no—
1194C4⋊C4—441no—
1195C4⋊C4—441no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—41no—
1205C22⋊C4—41no—
1206C22⋊C4—222no—
1207C22⋊C4—222no—
1208C22⋊C4—222no—
1209C22⋊C4—222no—
1210C22⋊C4—222no—
1211C22⋊C4—222no—
1212C22⋊C4—222no—
1213C22⋊C4—222no—
1214C22⋊C4—222no—
1215C22⋊C4—222no—
1216C22⋊C4—441no—
1217C22⋊C4—441no—
1218C22⋊C4—441no—
1219C22⋊C4—441no—
1220C22⋊C4—441no—
1221C22⋊C4—441no—
1222C22⋊C4—441no—
1223C22⋊C4—441no—
1224C22⋊C4—441no—
1225C22⋊C4—441no—
1226C22⋊C4—441no—
1227C22⋊C4—441no—
1228C22⋊C4—441no—
1229C22⋊C4—441no—
1230C22⋊C4—441no—
1231C22⋊C4—441no—
1232C42—22no—
1233C42—22no—
1234C42—22no—
1235C42—22no—
1236C42—41no—
1237C42—41no—
1238C42—222no—
1239C42—222no—
1240C42—222no—
1241C42—222no—
1242C42—441no—
1243C42—441no—
1244C42—441no—
1245C42—441no—
1246C42—441no—
1247C11#3502811yescharacteristic, complemented, Sylow
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—112no—
1267C23—221no—
1268C23—221no—
1269C23—221no—
1270C23—221no—
1271C23—221no—
1272C23—221no—
1273C23C2×#433912yes—
1274C23C2×#434112yes—
1275C23#41×D1112yes—
1276C23C24×D1111yescharacteristic
1277D4—44no—
1278D4—44no—
1279D4—44no—
1280D4—228no—
1281D4—882no—
1282D4—882no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—44no—
1315C2×C4—44no—
1316C2×C4—44no—
1317C2×C4—82no—
1318C2×C4—82no—
1319C2×C4—112no—
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—221no—
1334C2×C4—221no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—221no—
1356C2×C4—221no—
1357C2×C4—221no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—444no—
1365C2×C4—444no—
1366C2×C4—444no—
1367C2×C4—444no—
1368C2×C4—444no—
1369C2×C4—882no—
1370C2×C4—882no—
1371C2×C4C2×#433912yes—
1372C2×C4C2×#433912yes—
1373C2×C4C2×#434112yes—
1374C2×C4C2×#434112yes—
1375C2×C4#6703712yes—
1376C22—22no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—222no—
1397C22—222no—
1398C22—222no—
1399C22—441no—
1400C22—441no—
1401C22—441no—
1402C22—441no—
1403C22#1062308814yes—
1404C22C22×#433911yescharacteristic
1405C22C22×#434111yescharacteristic
1406C22C2×#6703711yescharacteristic
1407C22C2×#41×D1111yescharacteristic
1408C22#1062345311yescharacteristic
1409C22#1062345311yescharacteristic
1410C22#1062345311yescharacteristic
1411C4—22no—
1412C4—22no—
1413C4—22no—
1414C4—22no—
1415C4—22no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—222no—
1424C4—441no—
1425C4—441no—
1426C4—441no—
1427C4—441no—
1428C4—441no—
1429C4—441no—
1430C4—441no—
1431C4—441no—
1432C4—441no—
1433C4—441no—
1434C4—441no—
1435C4—441no—
1436C4—441no—
1437C4—441no—
1438C2—24no—
1439C2—81no—
1440C2—81no—
1441C2—442no—
1442C2C2×#1062308811yescharacteristic
1443C2#1308200111yescharacteristic
1444C2#1308202511yescharacteristic
1445C2#1308245011yescharacteristic
1446C2#1308253611yescharacteristic
1447C2#1308254211yescharacteristic
1448C2#1308267011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC4×C11×#121C2
prime radical#13073578C2
hypercenterC4×#121D11
hypocenterC11#35028
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. #13077007C2semidirect
2. #13077004C2semidirect
3. #13076936C2semidirect
4. #13076930C2semidirect
5. #13074713C2semidirect
6. #13074668C2semidirect
7. #13074653C2semidirect
8. #13074608C2semidirect
9. #13074097C2semidirect
10. #13073965C2semidirect
11. #13073950C2semidirect
12. #13073935C2semidirect
13. #13073920C2semidirect
14. #13073905C2semidirect
15. #13073841C2semidirect
17. #13073352C2semidirect
18. #13073229C2semidirect
19. #13073178C2semidirect
20. #13072879C2semidirect
21. #13072676C2semidirect
22. #13072517C2semidirect
23. #13072368C2semidirect
24. #13072353C2semidirect
25. #13071314C2semidirect
26. #13071314C2semidirect
27. #13071249C2semidirect
28. #13071249C2semidirect
29. C2×#10622546C2semidirect
30. C42×C22⋊D11C2semidirect
31. C4×C11×#121C2semidirect
552. C4×#121D11semidirect
1247. C11#35028semidirect

Maximal subgroups

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

subgroupindex
#130770072
#130770042
#130769362
#130769302
#130747132
#130746682
#130746532
#130746082
#130740972
#130739652
#130739502
#130739352
#130739202
#130739052
#130738412
#130735782
#130733522
#130732292
#130731782
#130728792
#130726762
#130725172
#130723682
#130723532
#130713142
#130712492
C2×#106225462
C42×C22⋊D112
C4×C11×#1212
#3502811