Finite Group Databasebeta

← #14961689

Subgroups — #14961689

Order 2816.

1662 conjugacy classes of subgroups.

The subgroup lattice has 1404 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076966C211yesmaximal, characteristic, complemented
2#13076922C211yesmaximal, characteristic, complemented
3#13076494C211yesmaximal, characteristic, complemented
4#13076485C211yesmaximal, characteristic, complemented
5#13076307C211yesmaximal, characteristic, complemented
6#13076302C211yesmaximal, characteristic, complemented
7#13076147C211yesmaximal, characteristic, complemented
8#13076143C211yesmaximal, characteristic, complemented
9#13075912C211yesmaximal, characteristic, complemented
10#13075907C211yesmaximal, characteristic, complemented
11#13075563C211yesmaximal, characteristic, complemented
12#13075551C211yesmaximal, characteristic, complemented
13#13075550C211yesmaximal, characteristic, complemented
14#13075549C211yesmaximal, characteristic, complemented
15#13075507C211yesmaximal, characteristic, complemented
16#13075504C211yesmaximal, characteristic, complemented
17#13075448C211yesmaximal, characteristic, complemented
18#13075439C211yesmaximal, characteristic, complemented
19#13074425C211yesmaximal, characteristic
20#13074425C211yesmaximal, characteristic
21#13073119C211yesmaximal, characteristic, complemented
22#13073111C211yesmaximal, characteristic, complemented
23#13072861C211yesmaximal, characteristic
24#13072859C211yesmaximal, characteristic
25#13072856C211yesmaximal, characteristic
26#13072764C211yesmaximal, characteristic, complemented
27#13072762C211yesmaximal, characteristic, complemented
28#13071347C211yesmaximal, characteristic, complemented
29#13071344C211yesmaximal, characteristic, complemented
30C2×#10622558C211yesmaximal, characteristic
31C11×#2480C211yesmaximal, characteristic
32C2×C11×#126C2211yescharacteristic
33C22×C11×C22⋊C4C2211yescharacteristic
34C22×C22⋊Dic11C2211yescharacteristic
35C22×C22⋊Dic11C2211yescharacteristic
36C22×Dic11⋊C4C2211yescharacteristic
37C22×C4×Dic11C2211yescharacteristic
38C2×#66943C2211yescharacteristic, complemented
39C2×#66942C2211yescharacteristic, complemented
40C2×#66942C2211yescharacteristic, complemented
41C2×#66941C2211yescharacteristic, complemented
42C2×#66932C2211yescharacteristic
43C2×#66932C2211yescharacteristic
44C2×#66932C2211yescharacteristic
45C2×#66931C2211yescharacteristic
46C2×#66931C2211yescharacteristic
47C11×#397C2211yescharacteristic
48C11×#397C2211yescharacteristic
49C11×#397C2211yescharacteristic
50C11×#396C2211yescharacteristic
51C11×#388C2211yescharacteristic
52C11×#388C2211yescharacteristic
53C11×#388C2211yescharacteristic
54C11×#385C2211yescharacteristic
55C11×#385C2211yescharacteristic
56C11×#380C2211yescharacteristic
57C11×#379C2211yescharacteristic
58C11×#379C2211yescharacteristic
59C4×C11×C22⋊C4C2211yescharacteristic
60#10622860C2211yescharacteristic
61#10622860C2211yescharacteristic
62#10622825C2211yescharacteristic
63#10622823C2211yescharacteristic
64#10622823C2211yescharacteristic
65C4×C22⋊Dic11C2211yescharacteristic
66C2×C11⋊#95C2211yescharacteristic
67C2×C11⋊#95C2211yescharacteristic
68#10622598C2211yescharacteristic, complemented
69#10622597C2211yescharacteristic, complemented
70#10622597C2211yescharacteristic, complemented
71#10622596C2211yescharacteristic, complemented
72#10622596C2211yescharacteristic, complemented
73#10622595C2211yescharacteristic, complemented
74#10622594C2211yescharacteristic, complemented
75#10622594C2211yescharacteristic, complemented
76#10622593C2211yescharacteristic, complemented
77#10622591C2211yescharacteristic, complemented
78#10622591C2211yescharacteristic, complemented
79#10622591C2211yescharacteristic, complemented
80#10622591C2211yescharacteristic, complemented
81#10622589C2211yescharacteristic, complemented
82#10622587C2211yescharacteristic, complemented
83#10622586C2211yescharacteristic, complemented
84#10622586C2211yescharacteristic, complemented
85#10622586C2211yescharacteristic, complemented
86#10622585C2211yescharacteristic, complemented
87#10622585C2211yescharacteristic, complemented
88#10622566C2211yescharacteristic
89#10622566C2211yescharacteristic
90#10622566C2211yescharacteristic
91#10622565C2211yescharacteristic
92#10622565C2211yescharacteristic
93#10622565C2211yescharacteristic
94#10622565C2211yescharacteristic
95#10622565C2211yescharacteristic
96#10622565C2211yescharacteristic
97#10622564C2211yescharacteristic
98#10622564C2211yescharacteristic
99#10622564C2211yescharacteristic
100#10622563C2211yescharacteristic
101#10622563C2211yescharacteristic
102#10622563C2211yescharacteristic
103#10622563C2211yescharacteristic
104#10622562C2211yescharacteristic
105#10622562C2211yescharacteristic
106#10622562C2211yescharacteristic
107#10622562C2211yescharacteristic
108#10622561C2211yescharacteristic
109#10622561C2211yescharacteristic
110#10622561C2211yescharacteristic
111#10622561C2211yescharacteristic
112#10622561C2211yescharacteristic
113#10622561C2211yescharacteristic
114#10622561C2211yescharacteristic
115#10622561C2211yescharacteristic
116#10622561C2211yescharacteristic
117#10622561C2211yescharacteristic
118#10622561C2211yescharacteristic
119#10622560C2211yescharacteristic
120#10622560C2211yescharacteristic
121#10622560C2211yescharacteristic
122#10622560C2211yescharacteristic
123#10622559C2211yescharacteristic
124#10622559C2211yescharacteristic
125#10622559C2211yescharacteristic
126#10622559C2211yescharacteristic
127#10622558C2211yescharacteristic
128#10622558C2211yescharacteristic
129#10622558C2211yescharacteristic
130#10622558C2211yescharacteristic
131#10622558C2211yescharacteristic
132#10622558C2211yescharacteristic
133#10622558C2211yescharacteristic
134#10622558C2211yescharacteristic
135#10622558C2211yescharacteristic
136#10622558C2211yescharacteristic
137#10622558C2211yescharacteristic
138#10622557C2211yescharacteristic
139#10622557C2211yescharacteristic
140#10622557C2211yescharacteristic
141#10622555C2211yescharacteristic
142#10622555C2211yescharacteristic
143#10622555C2211yescharacteristic
144#10622555C2211yescharacteristic
145C22⋊C4×Dic11C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147#10622549C2211yescharacteristic, complemented
148#10622546C2211yescharacteristic, complemented
149#10622546C2211yescharacteristic, complemented
150#10622546C2211yescharacteristic, complemented
151#10622546C2211yescharacteristic, complemented
152#10622542C2211yescharacteristic, complemented
153#10622541C2211yescharacteristic, complemented
154#10622541C2211yescharacteristic, complemented
155#10622274C2211yescharacteristic, complemented
156#10622273C2211yescharacteristic, complemented
157#10622273C2211yescharacteristic, complemented
158#10622273C2211yescharacteristic, complemented
159#10622273C2211yescharacteristic, complemented
160#10622272C2211yescharacteristic, complemented
161#10622271C2211yescharacteristic, complemented
162#10622271C2211yescharacteristic, complemented
163#10622270C2211yescharacteristic, complemented
164#10622270C2211yescharacteristic, complemented
165#10622268C2211yescharacteristic, complemented
166#10622268C2211yescharacteristic, complemented
167#10622267C2211yescharacteristic, complemented
168#10622267C2211yescharacteristic, complemented
169#10622266C2211yescharacteristic, complemented
170#10622266C2211yescharacteristic, complemented
171#10622265C2211yescharacteristic, complemented
172#10622265C2211yescharacteristic, complemented
173#10622265C2211yescharacteristic, complemented
174#10622265C2211yescharacteristic, complemented
175#10622263C2211yescharacteristic, complemented
176#10622263C2211yescharacteristic, complemented
177#10622260C2211yescharacteristic, complemented
178#10622260C2211yescharacteristic, complemented
179#10622260C2211yescharacteristic, complemented
180#10622260C2211yescharacteristic, complemented
181#10622260C2211yescharacteristic, complemented
182#10622260C2211yescharacteristic, complemented
183#10622259C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×Dic11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C22×Dic22C2311yescharacteristic
195C22×Dic22C2311yescharacteristic
196C11×#126—42no—
197C2×C11×C4⋊C4C2311yescharacteristic
198C2×C11×C4⋊C4C2311yescharacteristic
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C22⋊C4—42no—
204C2×C11×C22⋊C4C2311yescharacteristic
205C2×C11×C22⋊C4C2311yescharacteristic
206C2×C11×C22⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
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×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C22⋊Dic11—24no—
223C2×C22⋊Dic11—42no—
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×Dic11⋊C4—42no—
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×C4×Dic11—42no—
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296#66943—42no—
297#66942—42no—
298#66942—42no—
299#66941—42no—
300#66932—42no—
301#66932—42no—
302#66932—42no—
303#66931—24no—
304#66931—24no—
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#36760—111nomaximal, Sylow
358C24×C11—22no—
359C24×C11—22no—
360C24×C11—22no—
361C24×C11—41no—
362C24×C11—41no—
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—41no—
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—41no—
391C22×Dic11—41no—
392C22×Dic11—41no—
393C22×Dic11—41no—
394C22×Dic11—41no—
395C22×Dic11—41no—
396C22×Dic11—41no—
397C22×Dic11#4114yes—
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C2×Dic22—22no—
415C2×Dic22—22no—
416C2×Dic22—41no—
417C2×Dic22—41no—
418C2×Dic22—41no—
419C2×Dic22—41no—
420C11×C4⋊C4—22no—
421C11×C4⋊C4—22no—
422C11×C4⋊C4—41no—
423C11×C4⋊C4—41no—
424C11×C4⋊C4—41no—
425C11×C4⋊C4—41no—
426C11×C22⋊C4—22no—
427C11×C22⋊C4—22no—
428C11×C22⋊C4—22no—
429C11×C22⋊C4—22no—
430C11×C22⋊C4—22no—
431C11×C22⋊C4—22no—
432C11×C22⋊C4—41no—
433C11×C22⋊C4—41no—
434C11×C22⋊C4—41no—
435C11×C22⋊C4—41no—
436C11×C22⋊C4—41no—
437C11×C22⋊C4—41no—
438C11×C22⋊C4—41no—
439C11×C22⋊C4—41no—
440C11×C22⋊C4—41no—
441C11×C22⋊C4—41no—
442C42×C11—41no—
443C42×C11—41no—
444C22⋊Dic11—22no—
445C22⋊Dic11—22no—
446C22⋊Dic11—22no—
447C22⋊Dic11—22no—
448C22⋊Dic11—22no—
449C22⋊Dic11—22no—
450C22⋊Dic11—22no—
451C22⋊Dic11—22no—
452C22⋊Dic11—22no—
453C22⋊Dic11—22no—
454C22⋊Dic11—41no—
455C22⋊Dic11—41no—
456C22⋊Dic11—41no—
457C22⋊Dic11—41no—
458C22⋊Dic11—41no—
459C22⋊Dic11—41no—
460C22⋊Dic11—41no—
461C22⋊Dic11—41no—
462C22⋊Dic11—41no—
463C22⋊Dic11—41no—
464C4⋊Dic11—22no—
465C4⋊Dic11—22no—
466C4⋊Dic11—22no—
467C4⋊Dic11—22no—
468C4⋊Dic11—41no—
469C4⋊Dic11—41no—
470C4⋊Dic11—41no—
471C4⋊Dic11—41no—
472C4⋊Dic11—41no—
473C4⋊Dic11—41no—
474C4⋊Dic11—41no—
475C4⋊Dic11—41no—
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—41no—
487Dic11⋊C4—41no—
488Dic11⋊C4—41no—
489Dic11⋊C4—41no—
490Dic11⋊C4—41no—
491Dic11⋊C4—41no—
492Dic11⋊C4—41no—
493Dic11⋊C4—41no—
494Dic11⋊C4—41no—
495Dic11⋊C4—41no—
496Dic11⋊C4—41no—
497Dic11⋊C4—41no—
498Dic11⋊C4—41no—
499Dic11⋊C4—41no—
500Dic11⋊C4—41no—
501Dic11⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504C4×Dic11—22no—
505C4×Dic11—22no—
506C4×Dic11—41no—
507C4×Dic11—41no—
508C4×Dic11—41no—
509C4×Dic11—41no—
510C4×Dic11—41no—
511C4×Dic11—41no—
512C4×Dic11—41no—
513C4×Dic11—41no—
514#2857—111no—
515#2851—111no—
516#2798—111no—
517#2798—111no—
518#2783—111no—
519#2783—111no—
520#2772—111no—
521#2772—111no—
522#2754—111no—
523#2754—111no—
524#2725—111no—
525#2725—111no—
526#2725—111no—
527#2725—111no—
528#2721—111no—
529#2721—111no—
530#2716—111no—
531#2716—111no—
532#2626—111no—
533#2626—111no—
534#2505—111no—
535#2505—111no—
536#2480—111no—
537#2480—111no—
538#2480—111no—
539#2480D1111yescharacteristic
540#2473—111no—
541#2473—111no—
542#2329—111no—
543#2329—111no—
544C2×#388—111no—
545C23×C11—21no—
546C23×C11—21no—
547C23×C11—21no—
548C23×C11—21no—
549C23×C11—21no—
550C23×C11—21no—
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—82no—
567C23×C11—82no—
568C23×C11—82no—
569C23×C11—82no—
570C23×C11C2×#4112yes—
571C23×C112−1+412yes—
572C23×C112−1+412yes—
573C23×C11C2511yescharacteristic
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—44no—
610C2×C4×C11—82no—
611C2×C4×C11H(5,𝔽2)12yes—
612C2×Dic11—21no—
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—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—44no—
658C2×Dic11—44no—
659C2×Dic11—44no—
660C2×Dic11—82no—
661C2×Dic11C2×#4112yes—
662C2×Dic11C2×#4112yes—
663C2×Dic11H(5,𝔽2)12yes—
664Dic22—82no—
665Dic22—82no—
666C2×C4⋊Q8—111no—
667C2×#126—111no—
668C2×#126—111no—
669C2×#126—111no—
670C2×#126C2×D1111yescharacteristic
671C2×#125—111no—
672C2×#125—111no—
673C2×#125—111no—
674C2×C22⋊Q8—111no—
675C2×C22⋊Q8—111no—
676C22×C4⋊C4—111no—
677C22×C22⋊C4—111no—
678C22×C22⋊C4—111no—
679C22×C22⋊C4C2×D1111yescharacteristic
680C22×C42—111no—
681#400—111no—
682#400—111no—
683#400—111no—
684#400—111no—
685#400—111no—
686#400—111no—
687#400—111no—
688#400—111no—
689#399—111no—
690#399—111no—
691#399—111no—
692#399—111no—
693#398—111no—
694#398—111no—
695#398—111no—
696#398—111no—
697#398—111no—
698#398—111no—
699#398—111no—
700#398—111no—
701#397—111no—
702#397—111no—
703#397—111no—
704#397—111no—
705#397—111no—
706#397—111no—
707#397—111no—
708#397—111no—
709#397—111no—
710#397C2×D1111yescharacteristic
711#397C2×D1111yescharacteristic
712#397C2×D1111yescharacteristic
713#396—111no—
714#396—111no—
715#396—111no—
716#396—111no—
717#396—111no—
718#396—111no—
719#396—111no—
720#396—111no—
721#396—111no—
722#396—111no—
723#396—111no—
724#396C2×D1111yescharacteristic
725#393—111no—
726#393—111no—
727#393—111no—
728#393—111no—
729#391—111no—
730#391—111no—
731#391—111no—
732#391—111no—
733#391—111no—
734#391—111no—
735#389—111no—
736#389—111no—
737#389—111no—
738#389—111no—
739#389—111no—
740#389—111no—
741#389—111no—
742#389—111no—
743#389—111no—
744#389—111no—
745#389—111no—
746#389—111no—
747#389—111no—
748#389—111no—
749#388—111no—
750#388—111no—
751#388—111no—
752#388—111no—
753#388—111no—
754#388—111no—
755#388—111no—
756#388—111no—
757#388—111no—
758#388—111no—
759#388—111no—
760#388—111no—
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388C2×D1111yescharacteristic
767#388C2×D1111yescharacteristic
768#388C2×D1111yescharacteristic
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#387—111no—
781#387—111no—
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#385—111no—
790#385—111no—
791#385—111no—
792#385—111no—
793#385—111no—
794#385—111no—
795#385—111no—
796#385—111no—
797#385—111no—
798#385—111no—
799#385C2×D1111yescharacteristic
800#385C2×D1111yescharacteristic
801#384—111no—
802#382—111no—
803#382—111no—
804#382—111no—
805#380—111no—
806#380—111no—
807#380—111no—
808#380—111no—
809#380—111no—
810#380C2×D1111yescharacteristic
811#379—111no—
812#379—111no—
813#379C2×D1111yescharacteristic
814#379C2×D1111yescharacteristic
815C4×C22⋊C4—111no—
816C4×C22⋊C4—111no—
817C4×C22⋊C4—111no—
818C4×C22⋊C4C2×D1111yescharacteristic
819C2×#95—111no—
820C2×#95—111no—
821C22×C11—22no—
822C22×C11—22no—
823C22×C11—22no—
824C22×C11—22no—
825C22×C11—22no—
826C22×C11—22no—
827C22×C11—41no—
828C22×C11—41no—
829C22×C11—41no—
830C22×C11—41no—
831C22×C11—41no—
832C22×C11—41no—
833C22×C11—41no—
834C22×C11—41no—
835C22×C11—41no—
836C22×C11—41no—
837C22×C11—41no—
838C22×C11—41no—
839C22×C11—41no—
840C22×C11—41no—
841C22×C11—88no—
842C22×C11#54114yes—
843C22×C11C22×#4111yescharacteristic
844C22×C11C2×H(5,𝔽2)11yescharacteristic
845C22×C11C2×H(5,𝔽2)11yescharacteristic
846C22×C11C2×2−1+411yescharacteristic
847C22×C11C2×2−1+411yescharacteristic
848C22×C11#58511yescharacteristic
849C22×C11#58511yescharacteristic
850C4×C11—22no—
851C4×C11—41no—
852C4×C11—41no—
853C4×C11—41no—
854C4×C11—41no—
855C4×C11—41no—
856C4×C11—41no—
857C4×C11—41no—
858C4×C11—41no—
859C4×C11—41no—
860C4×C11—41no—
861C4×C11—41no—
862Dic11—22no—
863Dic11—22no—
864Dic11—22no—
865Dic11—41no—
866Dic11—41no—
867Dic11—41no—
868Dic11—41no—
869Dic11—41no—
870Dic11—41no—
871Dic11—41no—
872Dic11—41no—
873Dic11—41no—
874Dic11—41no—
875Dic11—41no—
876Dic11—41no—
877Dic11—41no—
878C25C22×D1111yescharacteristic
879C22×Q8—111no—
880C22×Q8—111no—
881C23×C4—111no—
882C23×C4—111no—
883C23×C4—111no—
884C23×C4—111no—
885C23×C4C22×D1111yescharacteristic
886C23×C4C22×D1111yescharacteristic
887C4⋊Q8—442no—
888#126—42no—
889#126—442no—
890#126—442no—
891#126—442no—
892#125—442no—
893#125—442no—
894#125—442no—
895C22⋊Q8—224no—
896C22⋊Q8—224no—
897C2×C4⋊C4—111no—
898C2×C4⋊C4—111no—
899C2×C4⋊C4—111no—
900C2×C4⋊C4—111no—
901C2×C4⋊C4—111no—
902C2×C4⋊C4—111no—
903C2×C4⋊C4—111no—
904C2×C4⋊C4—111no—
905C2×C4⋊C4—111no—
906C2×C4⋊C4—111no—
907C2×C4⋊C4—111no—
908C2×C4⋊C4—111no—
909C2×C4⋊C4—111no—
910C2×C4⋊C4—111no—
911C2×C4⋊C4—111no—
912C2×C4⋊C4—111no—
913C2×C4⋊C4—111no—
914C2×C4⋊C4—111no—
915C2×C4⋊C4—111no—
916C2×C4⋊C4—111no—
917C2×C4⋊C4—111no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—442no—
938C2×C4⋊C4C22×D1111yescharacteristic
939C2×C4⋊C4C22×D1111yescharacteristic
940C2×C4⋊C4C22×D1111yescharacteristic
941C2×C4⋊C4C22×D1111yescharacteristic
942C2×C4⋊C4C22×D1111yescharacteristic
943C2×C4⋊C4C22×D1111yescharacteristic
944C2×C22⋊C4—42no—
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—111no—
953C2×C22⋊C4—111no—
954C2×C22⋊C4—111no—
955C2×C22⋊C4—111no—
956C2×C22⋊C4—111no—
957C2×C22⋊C4—111no—
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—224no—
966C2×C22⋊C4—442no—
967C2×C22⋊C4C22×D1111yescharacteristic
968C2×C22⋊C4C22×D1111yescharacteristic
969C2×C22⋊C4C22×D1111yescharacteristic
970C2×C22⋊C4C22×D1111yescharacteristic
971C2×C22⋊C4C22×D1111yescharacteristic
972C2×C22⋊C4C22×D1111yescharacteristic
973C2×C22⋊C4C22×D1111yescharacteristic
974C2×C22⋊C4C22×D1111yescharacteristic
975C2×C22⋊C4C22×D1111yescharacteristic
976C2×C22⋊C4C22×D1111yescharacteristic
977C2×C22⋊C4C22×D1111yescharacteristic
978C2×C22⋊C4C22×D1111yescharacteristic
979C2×C22⋊C4C22×D1111yescharacteristic
980C2×C22⋊C4C22×D1111yescharacteristic
981C2×C22⋊C4C22×D1111yescharacteristic
982C2×C22⋊C4C22×D1111yescharacteristic
983C2×C42—111no—
984C2×C42—111no—
985C2×C42—111no—
986C2×C42—111no—
987C2×C42—111no—
988C2×C42—111no—
989C2×C42—111no—
990C2×C42—111no—
991C2×C42—111no—
992C2×C42—111no—
993C2×C42—442no—
994C2×C42C22×D1111yescharacteristic
995C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1041#95C22×D1111yescharacteristic
1042#95C22×D1111yescharacteristic
1043#95C22×D1111yescharacteristic
1044#95C22×D1111yescharacteristic
1045#95C22×D1111yescharacteristic
1046#95C22×D1111yescharacteristic
1047#95C22×D1111yescharacteristic
1048C2×C11—24no—
1049C2×C11—81no—
1050C2×C11—81no—
1051C2×C11C2×#54111yescharacteristic
1052C2×C11#350511yescharacteristic
1053C2×C11#350611yescharacteristic
1054C2×C11#353511yescharacteristic
1055C2×C11#353611yescharacteristic
1056C2×C11#356111yescharacteristic
1057C2×C11#356411yescharacteristic
1058C24—22no—
1059C24—22no—
1060C24—22no—
1061C24—41no—
1062C24—41no—
1063C24—41no—
1064C24—41no—
1065C24C23×D1111yescharacteristic
1066C24C23×D1111yescharacteristic
1067C24C23×D1111yescharacteristic
1068C2×Q8—222no—
1069C2×Q8—222no—
1070C2×Q8—441no—
1071C2×Q8—441no—
1072C2×Q8—441no—
1073C2×Q8—441no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—41no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—111no—
1081C22×C4—111no—
1082C22×C4—111no—
1083C22×C4—114no—
1084C22×C4—111no—
1085C22×C4—111no—
1086C22×C4—111no—
1087C22×C4—111no—
1088C22×C4—111no—
1089C22×C4—111no—
1090C22×C4—111no—
1091C22×C4—111no—
1092C22×C4—111no—
1093C22×C4—111no—
1094C22×C4—111no—
1095C22×C4—111no—
1096C22×C4—111no—
1097C22×C4—222no—
1098C22×C4—222no—
1099C22×C4—222no—
1100C22×C4—222no—
1101C22×C4—441no—
1102C22×C4—441no—
1103C22×C4—441no—
1104C22×C4—441no—
1105C22×C4—441no—
1106C22×C4—441no—
1107C22×C4—441no—
1108C22×C4C23×D1111yescharacteristic
1109C22×C4C23×D1111yescharacteristic
1110C22×C4C23×D1111yescharacteristic
1111C22×C4C23×D1111yescharacteristic
1112C22×C4C23×D1111yescharacteristic
1113C22×C4C23×D1111yescharacteristic
1114C22×C4C23×D1111yescharacteristic
1115C22×C4C23×D1111yescharacteristic
1116C22×C4C23×D1111yescharacteristic
1117C22×C4C23×D1111yescharacteristic
1118C22×C4C23×D1111yescharacteristic
1119C22×C4C23×D1111yescharacteristic
1120C4⋊C4—22no—
1121C4⋊C4—22no—
1122C4⋊C4—41no—
1123C4⋊C4—41no—
1124C4⋊C4—41no—
1125C4⋊C4—41no—
1126C4⋊C4—222no—
1127C4⋊C4—222no—
1128C4⋊C4—222no—
1129C4⋊C4—222no—
1130C4⋊C4—222no—
1131C4⋊C4—222no—
1132C4⋊C4—222no—
1133C4⋊C4—222no—
1134C4⋊C4—222no—
1135C4⋊C4—222no—
1136C4⋊C4—222no—
1137C4⋊C4—222no—
1138C4⋊C4—222no—
1139C4⋊C4—222no—
1140C4⋊C4—441no—
1141C4⋊C4—441no—
1142C4⋊C4—441no—
1143C4⋊C4—441no—
1144C4⋊C4—441no—
1145C4⋊C4—441no—
1146C4⋊C4—441no—
1147C4⋊C4—441no—
1148C4⋊C4—441no—
1149C4⋊C4—441no—
1150C4⋊C4—441no—
1151C4⋊C4—441no—
1152C4⋊C4—441no—
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—
1162C4⋊C4—441no—
1163C4⋊C4—441no—
1164C4⋊C4—441no—
1165C4⋊C4—441no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—22no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—41no—
1173C22⋊C4—41no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4—41no—
1178C22⋊C4—41no—
1179C22⋊C4—41no—
1180C22⋊C4—41no—
1181C22⋊C4—41no—
1182C22⋊C4—222no—
1183C22⋊C4—222no—
1184C22⋊C4—222no—
1185C22⋊C4—222no—
1186C22⋊C4—222no—
1187C22⋊C4—222no—
1188C22⋊C4—222no—
1189C22⋊C4—222no—
1190C22⋊C4—222no—
1191C22⋊C4—222no—
1192C22⋊C4—441no—
1193C22⋊C4—441no—
1194C22⋊C4—441no—
1195C22⋊C4—441no—
1196C22⋊C4—441no—
1197C22⋊C4—441no—
1198C22⋊C4—441no—
1199C22⋊C4—441no—
1200C22⋊C4—441no—
1201C22⋊C4—441no—
1202C42—41no—
1203C42—41no—
1204C42—222no—
1205C42—222no—
1206C42—441no—
1207C42—441no—
1208C42—441no—
1209C42—441no—
1210C42—441no—
1211C42—441no—
1212C42—441no—
1213C42—441no—
1214C11#3676011yescharacteristic, complemented, Sylow
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—44no—
1234C23—44no—
1235C23—44no—
1236C23—82no—
1237C23—82no—
1238C23—82no—
1239C23—82no—
1240C23#41×D1112yes—
1241C23#6704312yes—
1242C23#6704312yes—
1243C23C24×D1111yescharacteristic
1244Q8—882no—
1245Q8—882no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—44no—
1282C2×C4—82no—
1283C2×C4—112no—
1284C2×C4—112no—
1285C2×C4—112no—
1286C2×C4—221no—
1287C2×C4—221no—
1288C2×C4—221no—
1289C2×C4—221no—
1290C2×C4—221no—
1291C2×C4—221no—
1292C2×C4—221no—
1293C2×C4—221no—
1294C2×C4—221no—
1295C2×C4—221no—
1296C2×C4—221no—
1297C2×C4—221no—
1298C2×C4—221no—
1299C2×C4—221no—
1300C2×C4—221no—
1301C2×C4—221no—
1302C2×C4—221no—
1303C2×C4—221no—
1304C2×C4—221no—
1305C2×C4—221no—
1306C2×C4—221no—
1307C2×C4—221no—
1308C2×C4—221no—
1309C2×C4—221no—
1310C2×C4—221no—
1311C2×C4—221no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—444no—
1332C2×C4—444no—
1333C2×C4—444no—
1334C2×C4—882no—
1335C2×C4#6703712yes—
1336C22—22no—
1337C22—22no—
1338C22—22no—
1339C22—22no—
1340C22—22no—
1341C22—22no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—41no—
1355C22—41no—
1356C22—88no—
1357C22#1062323214yes—
1358C22C2×#6703711yescharacteristic
1359C22C2×#41×D1111yescharacteristic
1360C22C2×#6704311yescharacteristic
1361C22C2×#6704311yescharacteristic
1362C22#1062345311yescharacteristic
1363C22D11×H(5,𝔽2)11yescharacteristic
1364C22#1062345511yescharacteristic
1365C4—22no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—222no—
1378C4—222no—
1379C4—222no—
1380C4—441no—
1381C4—441no—
1382C4—441no—
1383C4—441no—
1384C4—441no—
1385C4—441no—
1386C4—441no—
1387C4—441no—
1388C4—441no—
1389C4—441no—
1390C4—441no—
1391C4—441no—
1392C4—441no—
1393C2—24no—
1394C2—81no—
1395C2—81no—
1396C2C2×#1062323211yescharacteristic
1397C2#1308245411yescharacteristic
1398C2#1308245911yescharacteristic
1399C2#1308281211yescharacteristic
1400C2#1308283111yescharacteristic
1401C2#1308317511yescharacteristic
1402C2#1308322811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2480C2
prime radicalC25×C11C23
hypercenter#2480D11
hypocenterC11#36760
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. #13076966C2semidirect
2. #13076922C2semidirect
3. #13076494C2semidirect
4. #13076485C2semidirect
5. #13076307C2semidirect
6. #13076302C2semidirect
7. #13076147C2semidirect
8. #13076143C2semidirect
9. #13075912C2semidirect
10. #13075907C2semidirect
11. #13075563C2semidirect
12. #13075551C2semidirect
13. #13075550C2semidirect
14. #13075549C2semidirect
15. #13075507C2semidirect
16. #13075504C2semidirect
17. #13075448C2semidirect
18. #13075439C2semidirect
21. #13073119C2semidirect
22. #13073111C2semidirect
26. #13072764C2semidirect
27. #13072762C2semidirect
28. #13071347C2semidirect
29. #13071344C2semidirect
38. C2×#66943C22semidirect
39. C2×#66942C22semidirect
40. C2×#66942C22semidirect
41. C2×#66941C22semidirect
68. #10622598C22semidirect
69. #10622597C22semidirect
70. #10622597C22semidirect
71. #10622596C22semidirect
72. #10622596C22semidirect
73. #10622595C22semidirect
74. #10622594C22semidirect
75. #10622594C22semidirect
76. #10622593C22semidirect
77. #10622591C22semidirect
78. #10622591C22semidirect
79. #10622591C22semidirect
80. #10622591C22semidirect
81. #10622589C22semidirect
82. #10622587C22semidirect
83. #10622586C22semidirect
84. #10622586C22semidirect
85. #10622586C22semidirect
86. #10622585C22semidirect
87. #10622585C22semidirect
147. #10622549C22semidirect
148. #10622546C22semidirect
149. #10622546C22semidirect
150. #10622546C22semidirect
151. #10622546C22semidirect
152. #10622542C22semidirect
153. #10622541C22semidirect
154. #10622541C22semidirect
155. #10622274C22semidirect
156. #10622273C22semidirect
157. #10622273C22semidirect
158. #10622273C22semidirect
159. #10622273C22semidirect
160. #10622272C22semidirect
161. #10622271C22semidirect
162. #10622271C22semidirect
163. #10622270C22semidirect
164. #10622270C22semidirect
165. #10622268C22semidirect
166. #10622268C22semidirect
167. #10622267C22semidirect
168. #10622267C22semidirect
169. #10622266C22semidirect
170. #10622266C22semidirect
171. #10622265C22semidirect
172. #10622265C22semidirect
173. #10622265C22semidirect
174. #10622265C22semidirect
175. #10622263C22semidirect
176. #10622263C22semidirect
177. #10622260C22semidirect
178. #10622260C22semidirect
179. #10622260C22semidirect
180. #10622260C22semidirect
181. #10622260C22semidirect
182. #10622260C22semidirect
183. #10622259C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
1214. C11#36760semidirect

Maximal subgroups

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

subgroupindex
#130769662
#130769222
#130764942
#130764852
#130763072
#130763022
#130761472
#130761432
#130759122
#130759072
#130755632
#130755512
#130755502
#130755492
#130755072
#130755042
#130754482
#130754392
#130744252
#130731192
#130731112
#130728612
#130728592
#130728562
#130727642
#130727622
#130713472
#130713442
C2×#106225582
C11×#24802
#3676011