Finite Group Databasebeta

← #14960930

Subgroups — #14960930

Order 2816.

1854 conjugacy classes of subgroups.

The subgroup lattice has 1442 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076901C211yesmaximal, characteristic
2#13076901C211yesmaximal, characteristic
3#13075820C211yesmaximal, characteristic, complemented
4#13075816C211yesmaximal, characteristic, complemented
5#13075812C211yesmaximal, characteristic, complemented
6#13075808C211yesmaximal, characteristic, complemented
7#13075523C211yesmaximal, characteristic, complemented
8#13075520C211yesmaximal, characteristic, complemented
9#13075520C211yesmaximal, characteristic, complemented
10#13075519C211yesmaximal, characteristic, complemented
11#13075279C211yesmaximal, characteristic, complemented
12#13075275C211yesmaximal, characteristic, complemented
13#13075271C211yesmaximal, characteristic, complemented
14#13075267C211yesmaximal, characteristic, complemented
15#13075087C211yesmaximal, characteristic, complemented
16#13075083C211yesmaximal, characteristic, complemented
17#13075079C211yesmaximal, characteristic, complemented
18#13075075C211yesmaximal, characteristic, complemented
19#13074733C211yesmaximal, characteristic, complemented
20#13074588C211yesmaximal, characteristic, complemented
21#13072861C211yesmaximal, characteristic
22#13072859C211yesmaximal, characteristic
23#13072856C211yesmaximal, characteristic
24#13072764C211yesmaximal, characteristic, complemented
25#13072762C211yesmaximal, characteristic, complemented
26#13072759C211yesmaximal, characteristic, complemented
27#13072757C211yesmaximal, characteristic, complemented
28#13071347C211yesmaximal, characteristic, complemented
29#13071344C211yesmaximal, characteristic, complemented
30C2×#10622555C211yesmaximal, characteristic
31C11×#2480C211yesmaximal, characteristic
32C24×Dic11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C22×C11×C22⋊C4C2211yescharacteristic
35C22×C22⋊Dic11C2211yescharacteristic
36C22×Dic11⋊C4C2211yescharacteristic
37C22×Dic11⋊C4C2211yescharacteristic
38C2×#66943C2211yescharacteristic, complemented
39C2×#66942C2211yescharacteristic, complemented
40C2×#66942C2211yescharacteristic, complemented
41C2×#66932C2211yescharacteristic
42C2×#66932C2211yescharacteristic
43C2×#66932C2211yescharacteristic
44C2×#66931C2211yescharacteristic
45C2×#66931C2211yescharacteristic
46C2×#66931C2211yescharacteristic
47C2×#66931C2211yescharacteristic
48C2×#66931C2211yescharacteristic
49C2×#66931C2211yescharacteristic
50C2×#66923C2211yescharacteristic, complemented
51C11×#397C2211yescharacteristic
52C11×#397C2211yescharacteristic
53C11×#397C2211yescharacteristic
54C11×#396C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#385C2211yescharacteristic
59C11×#385C2211yescharacteristic
60C11×#380C2211yescharacteristic
61C11×#379C2211yescharacteristic
62C11×#379C2211yescharacteristic
63C4×C11×C22⋊C4C2211yescharacteristic
64#10622860C2211yescharacteristic
65#10622860C2211yescharacteristic
66#10622825C2211yescharacteristic
67#10622823C2211yescharacteristic
68#10622823C2211yescharacteristic
69C4×C22⋊Dic11C2211yescharacteristic
70C2×C11⋊#95C2211yescharacteristic
71C2×C11⋊#95C2211yescharacteristic
72#10622597C2211yescharacteristic, complemented
73#10622597C2211yescharacteristic, complemented
74#10622597C2211yescharacteristic, complemented
75#10622597C2211yescharacteristic, complemented
76#10622597C2211yescharacteristic, complemented
77#10622597C2211yescharacteristic, complemented
78#10622596C2211yescharacteristic, complemented
79#10622596C2211yescharacteristic, complemented
80#10622595C2211yescharacteristic, complemented
81#10622593C2211yescharacteristic, complemented
82#10622593C2211yescharacteristic, complemented
83#10622593C2211yescharacteristic, complemented
84#10622592C2211yescharacteristic, complemented
85#10622592C2211yescharacteristic, complemented
86#10622591C2211yescharacteristic, complemented
87#10622591C2211yescharacteristic, complemented
88#10622587C2211yescharacteristic, complemented
89#10622586C2211yescharacteristic, complemented
90#10622586C2211yescharacteristic, complemented
91#10622585C2211yescharacteristic, complemented
92#10622585C2211yescharacteristic, complemented
93#10622566C2211yescharacteristic
94#10622566C2211yescharacteristic
95#10622566C2211yescharacteristic
96#10622565C2211yescharacteristic
97#10622565C2211yescharacteristic
98#10622565C2211yescharacteristic
99#10622565C2211yescharacteristic
100#10622565C2211yescharacteristic
101#10622565C2211yescharacteristic
102#10622564C2211yescharacteristic
103#10622564C2211yescharacteristic
104#10622564C2211yescharacteristic
105#10622563C2211yescharacteristic
106#10622563C2211yescharacteristic
107#10622563C2211yescharacteristic
108#10622563C2211yescharacteristic
109#10622563C2211yescharacteristic
110#10622563C2211yescharacteristic
111#10622563C2211yescharacteristic
112#10622563C2211yescharacteristic
113#10622561C2211yescharacteristic
114#10622561C2211yescharacteristic
115#10622561C2211yescharacteristic
116#10622559C2211yescharacteristic
117#10622559C2211yescharacteristic
118#10622559C2211yescharacteristic
119#10622559C2211yescharacteristic
120#10622559C2211yescharacteristic
121#10622559C2211yescharacteristic
122#10622559C2211yescharacteristic
123#10622559C2211yescharacteristic
124#10622558C2211yescharacteristic
125#10622558C2211yescharacteristic
126#10622558C2211yescharacteristic
127#10622557C2211yescharacteristic
128#10622557C2211yescharacteristic
129#10622557C2211yescharacteristic
130#10622555C2211yescharacteristic
131#10622555C2211yescharacteristic
132#10622555C2211yescharacteristic
133#10622555C2211yescharacteristic
134#10622555C2211yescharacteristic
135#10622555C2211yescharacteristic
136#10622555C2211yescharacteristic
137#10622555C2211yescharacteristic
138#10622555C2211yescharacteristic
139#10622555C2211yescharacteristic
140#10622555C2211yescharacteristic
141#10622555C2211yescharacteristic
142#10622555C2211yescharacteristic
143#10622555C2211yescharacteristic
144#10622555C2211yescharacteristic
145#10622555C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147C22⋊C4×Dic11C2211yescharacteristic
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#10622272C2211yescharacteristic, complemented
159#10622271C2211yescharacteristic, complemented
160#10622271C2211yescharacteristic, complemented
161#10622271C2211yescharacteristic, complemented
162#10622271C2211yescharacteristic, complemented
163#10622270C2211yescharacteristic, complemented
164#10622270C2211yescharacteristic, complemented
165#10622270C2211yescharacteristic, complemented
166#10622270C2211yescharacteristic, complemented
167#10622270C2211yescharacteristic, complemented
168#10622270C2211yescharacteristic, complemented
169#10622270C2211yescharacteristic, complemented
170#10622270C2211yescharacteristic, complemented
171#10622269C2211yescharacteristic, complemented
172#10622269C2211yescharacteristic, complemented
173#10622268C2211yescharacteristic, complemented
174#10622268C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622267C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×Dic11—24no—
191C23×Dic11—42no—
192C23×Dic11—42no—
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C11×#126—42no—
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4—42no—
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C22⋊Dic11—42no—
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×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊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×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×Dic11⋊C4—42no—
259C2×Dic11⋊C4—42no—
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×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298#66943—42no—
299#66942—42no—
300#66942—42no—
301#66932—42no—
302#66932—42no—
303#66932—42no—
304#66931—24no—
305#66931—24no—
306#66931—42no—
307#66931—42no—
308#66931—42no—
309#66931—42no—
310#66923—42no—
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#36728—111nomaximal, Sylow
364C24×C11—22no—
365C24×C11—22no—
366C24×C11—22no—
367C24×C11—22no—
368C24×C11—22no—
369C24×C11—41no—
370C24×C11—41no—
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C22×C4×C11—22no—
375C22×C4×C11—22no—
376C22×C4×C11—41no—
377C22×C4×C11—41no—
378C22×C4×C11—41no—
379C22×C4×C11—41no—
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×Dic11—22no—
393C22×Dic11—22no—
394C22×Dic11—22no—
395C22×Dic11—22no—
396C22×Dic11—22no—
397C22×Dic11—22no—
398C22×Dic11—22no—
399C22×Dic11—22no—
400C22×Dic11—22no—
401C22×Dic11—22no—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—22no—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11—41no—
408C22×Dic11—41no—
409C22×Dic11—41no—
410C22×Dic11—41no—
411C22×Dic11—41no—
412C22×Dic11—41no—
413C22×Dic11—41no—
414C22×Dic11—41no—
415C22×Dic11—416no—
416C22×Dic11#4114yes—
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
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
433C2×Dic22—22no—
434C2×Dic22—22no—
435C2×Dic22—41no—
436C2×Dic22—41no—
437C2×Dic22—41no—
438C2×Dic22—41no—
439C11×C4⋊C4—41no—
440C11×C4⋊C4—41no—
441C11×C4⋊C4—41no—
442C11×C4⋊C4—41no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
445C11×C22⋊C4—22no—
446C11×C22⋊C4—22no—
447C11×C22⋊C4—22no—
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—41no—
456C11×C22⋊C4—41no—
457C11×C22⋊C4—41no—
458C11×C22⋊C4—41no—
459C11×C22⋊C4—41no—
460C11×C22⋊C4—41no—
461C42×C11—41no—
462C42×C11—41no—
463C22⋊Dic11—22no—
464C22⋊Dic11—22no—
465C22⋊Dic11—22no—
466C22⋊Dic11—22no—
467C22⋊Dic11—22no—
468C22⋊Dic11—22no—
469C22⋊Dic11—22no—
470C22⋊Dic11—22no—
471C22⋊Dic11—22no—
472C22⋊Dic11—22no—
473C22⋊Dic11—41no—
474C22⋊Dic11—41no—
475C22⋊Dic11—41no—
476C22⋊Dic11—41no—
477C22⋊Dic11—41no—
478C22⋊Dic11—41no—
479C4⋊Dic11—22no—
480C4⋊Dic11—22no—
481C4⋊Dic11—22no—
482C4⋊Dic11—22no—
483C4⋊Dic11—22no—
484C4⋊Dic11—22no—
485C4⋊Dic11—41no—
486C4⋊Dic11—41no—
487C4⋊Dic11—41no—
488C4⋊Dic11—41no—
489C4⋊Dic11—41no—
490C4⋊Dic11—41no—
491Dic11⋊C4—22no—
492Dic11⋊C4—22no—
493Dic11⋊C4—22no—
494Dic11⋊C4—22no—
495Dic11⋊C4—22no—
496Dic11⋊C4—22no—
497Dic11⋊C4—22no—
498Dic11⋊C4—22no—
499Dic11⋊C4—22no—
500Dic11⋊C4—22no—
501Dic11⋊C4—22no—
502Dic11⋊C4—22no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523C4×Dic11—41no—
524C4×Dic11—41no—
525C4×Dic11—41no—
526C4×Dic11—41no—
527C4×Dic11—41no—
528C4×Dic11—41no—
529#2848—111no—
530#2848—111no—
531#2747—111no—
532#2747—111no—
533#2747—111no—
534#2747—111no—
535#2722—111no—
536#2722—111no—
537#2722—111no—
538#2722—111no—
539#2704—111no—
540#2704—111no—
541#2704—111no—
542#2704—111no—
543#2690—111no—
544#2690—111no—
545#2690—111no—
546#2690—111no—
547#2659—111no—
548#2646—111no—
549#2480—111no—
550#2480—111no—
551#2480—111no—
552#2480D1111yescharacteristic
553#2473—111no—
554#2473—111no—
555#2473—111no—
556#2473—111no—
557#2329—111no—
558#2329—111no—
559C2×#380—111no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—28no—
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×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—44no—
578C23×C11—44no—
579C23×C11—44no—
580C23×C11—44no—
581C23×C11—44no—
582C23×C11—44no—
583C23×C11C2×#4112yes—
584C23×C11H(5,𝔽2)12yes—
585C23×C112−1+412yes—
586C23×C112−1+412yes—
587C23×C112−1+412yes—
588C23×C11C2511yescharacteristic
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—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—82no—
626C2×C4×C11—82no—
627C2×Dic11—28no—
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—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—44no—
673C2×Dic11—44no—
674C2×Dic11—44no—
675C2×Dic11—44no—
676C2×Dic11—44no—
677C2×Dic11—82no—
678C2×Dic11—82no—
679C2×Dic11C2×#4112yes—
680C2×Dic11C2×#4112yes—
681C2×Dic11H(5,𝔽2)12yes—
682C2×Dic11H(5,𝔽2)12yes—
683Dic22—82no—
684Dic22—82no—
685C24×C4—111no—
686C2×#126—111no—
687C2×#126—111no—
688C2×#126—111no—
689C2×#126C2×D1111yescharacteristic
690C2×#125—111no—
691C2×#125—111no—
692C2×#125—111no—
693C2×#125—111no—
694C2×C22⋊Q8—111no—
695C2×C22⋊Q8—111no—
696C2×C22⋊Q8—111no—
697C2×C22⋊Q8—111no—
698C2×C22⋊Q8—111no—
699C2×C22⋊Q8—111no—
700C22×C4⋊C4—111no—
701C22×C4⋊C4—111no—
702C22×C22⋊C4—111no—
703C22×C22⋊C4C2×D1111yescharacteristic
704#400—111no—
705#400—111no—
706#400—111no—
707#400—111no—
708#400—111no—
709#400—111no—
710#400—111no—
711#400—111no—
712#398—111no—
713#398—111no—
714#398—111no—
715#398—111no—
716#398—111no—
717#398—111no—
718#398—111no—
719#398—111no—
720#398—111no—
721#398—111no—
722#398—111no—
723#398—111no—
724#398—111no—
725#398—111no—
726#398—111no—
727#398—111no—
728#398—111no—
729#398—111no—
730#398—111no—
731#398—111no—
732#397—111no—
733#397—111no—
734#397—111no—
735#397—111no—
736#397—111no—
737#397—111no—
738#397—111no—
739#397—111no—
740#397—111no—
741#397C2×D1111yescharacteristic
742#397C2×D1111yescharacteristic
743#397C2×D1111yescharacteristic
744#396—111no—
745#396—111no—
746#396—111no—
747#396C2×D1111yescharacteristic
748#395—111no—
749#395—111no—
750#395—111no—
751#395—111no—
752#391—111no—
753#391—111no—
754#391—111no—
755#391—111no—
756#389—111no—
757#389—111no—
758#389—111no—
759#389—111no—
760#389—111no—
761#389—111no—
762#389—111no—
763#389—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388—111no—
771#388—111no—
772#388—111no—
773#388C2×D1111yescharacteristic
774#388C2×D1111yescharacteristic
775#388C2×D1111yescharacteristic
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#387—111no—
790#387—111no—
791#387—111no—
792#385—111no—
793#385—111no—
794#385—111no—
795#385—111no—
796#385—111no—
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#385—111no—
809#385—111no—
810#385C2×D1111yescharacteristic
811#385C2×D1111yescharacteristic
812#380—111no—
813#380—111no—
814#380—111no—
815#380—111no—
816#380—111no—
817#380—111no—
818#380—111no—
819#380—111no—
820#380—111no—
821#380—111no—
822#380—111no—
823#380—111no—
824#380—111no—
825#380—111no—
826#380—111no—
827#380—111no—
828#380—111no—
829#380C2×D1111yescharacteristic
830#379—111no—
831#379—111no—
832#379C2×D1111yescharacteristic
833#379C2×D1111yescharacteristic
834C4×C22⋊C4—111no—
835C4×C22⋊C4—111no—
836C4×C22⋊C4—111no—
837C4×C22⋊C4C2×D1111yescharacteristic
838C2×#95—111no—
839C2×#95—111no—
840C22×C11—22no—
841C22×C11—22no—
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—22no—
845C22×C11—22no—
846C22×C11—22no—
847C22×C11—22no—
848C22×C11—22no—
849C22×C11—22no—
850C22×C11—22no—
851C22×C11—22no—
852C22×C11—416no—
853C22×C11—41no—
854C22×C11—41no—
855C22×C11—41no—
856C22×C11—41no—
857C22×C11—41no—
858C22×C11—41no—
859C22×C11—41no—
860C22×C11—41no—
861C22×C11#54114yes—
862C22×C11C22×#4111yescharacteristic
863C22×C11C2×H(5,𝔽2)11yescharacteristic
864C22×C11C2×H(5,𝔽2)11yescharacteristic
865C22×C11C2×H(5,𝔽2)11yescharacteristic
866C22×C11C2×2−1+411yescharacteristic
867C22×C11C2×2−1+411yescharacteristic
868C22×C11C2×2−1+411yescharacteristic
869C4×C11—41no—
870C4×C11—41no—
871C4×C11—41no—
872C4×C11—41no—
873C4×C11—41no—
874C4×C11—41no—
875C4×C11—41no—
876C4×C11—41no—
877C4×C11—41no—
878C4×C11—41no—
879C4×C11—41no—
880C4×C11—41no—
881Dic11—22no—
882Dic11—22no—
883Dic11—22no—
884Dic11—22no—
885Dic11—41no—
886Dic11—41no—
887Dic11—41no—
888Dic11—41no—
889Dic11—41no—
890Dic11—41no—
891Dic11—41no—
892Dic11—41no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896Dic11—41no—
897C25C22×D1111yescharacteristic
898C22×Q8—111no—
899C22×Q8—111no—
900C23×C4—111no—
901C23×C4—111no—
902C23×C4—111no—
903C23×C4—111no—
904C23×C4—111no—
905C23×C4—111no—
906C23×C4—111no—
907C23×C4—111no—
908C23×C4—224no—
909C23×C4—442no—
910C23×C4—442no—
911C23×C4C22×D1111yescharacteristic
912C23×C4C22×D1111yescharacteristic
913#126—42no—
914#126—442no—
915#126—442no—
916#126—442no—
917#125—442no—
918#125—442no—
919#125—442no—
920#125—442no—
921C22⋊Q8—224no—
922C22⋊Q8—224no—
923C22⋊Q8—442no—
924C22⋊Q8—442no—
925C22⋊Q8—442no—
926C22⋊Q8—442no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—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—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—442no—
972C2×C4⋊C4—442no—
973C2×C4⋊C4C22×D1111yescharacteristic
974C2×C4⋊C4C22×D1111yescharacteristic
975C2×C4⋊C4C22×D1111yescharacteristic
976C2×C4⋊C4C22×D1111yescharacteristic
977C2×C4⋊C4C22×D1111yescharacteristic
978C2×C4⋊C4C22×D1111yescharacteristic
979C2×C22⋊C4—42no—
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⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—442no—
997C2×C22⋊C4C22×D1111yescharacteristic
998C2×C22⋊C4C22×D1111yescharacteristic
999C2×C22⋊C4C22×D1111yescharacteristic
1000C2×C22⋊C4C22×D1111yescharacteristic
1001C2×C22⋊C4C22×D1111yescharacteristic
1002C2×C22⋊C4C22×D1111yescharacteristic
1003C2×C22⋊C4C22×D1111yescharacteristic
1004C2×C22⋊C4C22×D1111yescharacteristic
1005C2×C22⋊C4C22×D1111yescharacteristic
1006C2×C22⋊C4C22×D1111yescharacteristic
1007C2×C22⋊C4C22×D1111yescharacteristic
1008C2×C22⋊C4C22×D1111yescharacteristic
1009C2×C22⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4C22×D1111yescharacteristic
1011C2×C22⋊C4C22×D1111yescharacteristic
1012C2×C22⋊C4C22×D1111yescharacteristic
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42—111no—
1018C2×C42—111no—
1019C2×C42C22×D1111yescharacteristic
1020C2×C42C22×D1111yescharacteristic
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#95—111no—
1065#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069#95C22×D1111yescharacteristic
1070#95C22×D1111yescharacteristic
1071#95C22×D1111yescharacteristic
1072#95C22×D1111yescharacteristic
1073C2×C11—24no—
1074C2×C11—42no—
1075C2×C11—42no—
1076C2×C11C2×#54111yescharacteristic
1077C2×C11#349011yescharacteristic
1078C2×C11#349211yescharacteristic
1079C2×C11#353611yescharacteristic
1080C2×C11#353611yescharacteristic
1081C2×C11#353811yescharacteristic
1082C2×C11#353811yescharacteristic
1083C24—22no—
1084C24—22no—
1085C24—22no—
1086C24—22no—
1087C24—22no—
1088C24—41no—
1089C24—41no—
1090C24C23×D1111yescharacteristic
1091C24C23×D1111yescharacteristic
1092C24C23×D1111yescharacteristic
1093C2×Q8—222no—
1094C2×Q8—222no—
1095C2×Q8—441no—
1096C2×Q8—441no—
1097C2×Q8—441no—
1098C2×Q8—441no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4—111no—
1106C22×C4—111no—
1107C22×C4—111no—
1108C22×C4—111no—
1109C22×C4—114no—
1110C22×C4—111no—
1111C22×C4—111no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—111no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—111no—
1119C22×C4—111no—
1120C22×C4—111no—
1121C22×C4—111no—
1122C22×C4—222no—
1123C22×C4—222no—
1124C22×C4—222no—
1125C22×C4—222no—
1126C22×C4—222no—
1127C22×C4—222no—
1128C22×C4—222no—
1129C22×C4—222no—
1130C22×C4—222no—
1131C22×C4—222no—
1132C22×C4—222no—
1133C22×C4—222no—
1134C22×C4—222no—
1135C22×C4—441no—
1136C22×C4—441no—
1137C22×C4—441no—
1138C22×C4—441no—
1139C22×C4—441no—
1140C22×C4—441no—
1141C22×C4—441no—
1142C22×C4—441no—
1143C22×C4—441no—
1144C22×C4—441no—
1145C22×C4—4416no—
1146C22×C4C23×D1111yescharacteristic
1147C22×C4C23×D1111yescharacteristic
1148C22×C4C23×D1111yescharacteristic
1149C22×C4C23×D1111yescharacteristic
1150C22×C4C23×D1111yescharacteristic
1151C22×C4C23×D1111yescharacteristic
1152C22×C4C23×D1111yescharacteristic
1153C22×C4C23×D1111yescharacteristic
1154C22×C4C23×D1111yescharacteristic
1155C22×C4C23×D1111yescharacteristic
1156C22×C4C23×D1111yescharacteristic
1157C22×C4C23×D1111yescharacteristic
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—222no—
1165C4⋊C4—222no—
1166C4⋊C4—222no—
1167C4⋊C4—222no—
1168C4⋊C4—222no—
1169C4⋊C4—222no—
1170C4⋊C4—222no—
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—
1196C4⋊C4—441no—
1197C4⋊C4—441no—
1198C4⋊C4—441no—
1199C4⋊C4—441no—
1200C4⋊C4—441no—
1201C4⋊C4—441no—
1202C4⋊C4—441no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C4⋊C4—441no—
1207C4⋊C4—441no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—222no—
1225C22⋊C4—222no—
1226C22⋊C4—222no—
1227C22⋊C4—222no—
1228C22⋊C4—222no—
1229C22⋊C4—222no—
1230C22⋊C4—222no—
1231C22⋊C4—222no—
1232C22⋊C4—222no—
1233C22⋊C4—222no—
1234C22⋊C4—441no—
1235C22⋊C4—441no—
1236C22⋊C4—441no—
1237C22⋊C4—441no—
1238C22⋊C4—441no—
1239C22⋊C4—441no—
1240C42—41no—
1241C42—41no—
1242C42—441no—
1243C42—441no—
1244C42—441no—
1245C42—441no—
1246C42—441no—
1247C42—441no—
1248C11#3672811yescharacteristic, complemented, Sylow
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—28no—
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—44no—
1267C23—44no—
1268C23—44no—
1269C23—44no—
1270C23—44no—
1271C23—44no—
1272C23#6703712yes—
1273C23#41×D1112yes—
1274C23#6704312yes—
1275C23#6704312yes—
1276C23#6704312yes—
1277C23C24×D1111yescharacteristic
1278Q8—882no—
1279Q8—882no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
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—21no—
1315C2×C4—21no—
1316C2×C4—82no—
1317C2×C4—82no—
1318C2×C4—112no—
1319C2×C4—112no—
1320C2×C4—112no—
1321C2×C4—112no—
1322C2×C4—228no—
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—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—444no—
1368C2×C4—444no—
1369C2×C4—444no—
1370C2×C4—444no—
1371C2×C4—444no—
1372C2×C4—882no—
1373C2×C4—882no—
1374C22—22no—
1375C22—22no—
1376C22—22no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—22no—
1385C22—22no—
1386C22—416no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22#1062323214yes—
1396C22C2×#6703711yescharacteristic
1397C22C2×#41×D1111yescharacteristic
1398C22C2×#6704311yescharacteristic
1399C22C2×#6704311yescharacteristic
1400C22C2×#6704311yescharacteristic
1401C22D11×H(5,𝔽2)11yescharacteristic
1402C22D11×H(5,𝔽2)11yescharacteristic
1403C4—41no—
1404C4—41no—
1405C4—41no—
1406C4—41no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—222no—
1416C4—222no—
1417C4—222no—
1418C4—222no—
1419C4—441no—
1420C4—441no—
1421C4—441no—
1422C4—441no—
1423C4—441no—
1424C4—441no—
1425C4—441no—
1426C4—441no—
1427C4—441no—
1428C4—441no—
1429C4—441no—
1430C4—441no—
1431C2—24no—
1432C2—42no—
1433C2—42no—
1434C2C2×#1062323211yescharacteristic
1435C2#1308230211yescharacteristic
1436C2#1308231711yescharacteristic
1437C2#1308283111yescharacteristic
1438C2#1308283111yescharacteristic
1439C2#1308285611yescharacteristic
1440C2#1308285611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2480C2
prime radicalC25×C11C23
hypercenter#2480D11
hypocenterC11#36728
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
3. #13075820C2semidirect
4. #13075816C2semidirect
5. #13075812C2semidirect
6. #13075808C2semidirect
7. #13075523C2semidirect
8. #13075520C2semidirect
9. #13075520C2semidirect
10. #13075519C2semidirect
11. #13075279C2semidirect
12. #13075275C2semidirect
13. #13075271C2semidirect
14. #13075267C2semidirect
15. #13075087C2semidirect
16. #13075083C2semidirect
17. #13075079C2semidirect
18. #13075075C2semidirect
19. #13074733C2semidirect
20. #13074588C2semidirect
24. #13072764C2semidirect
25. #13072762C2semidirect
26. #13072759C2semidirect
27. #13072757C2semidirect
28. #13071347C2semidirect
29. #13071344C2semidirect
38. C2×#66943C22semidirect
39. C2×#66942C22semidirect
40. C2×#66942C22semidirect
50. C2×#66923C22semidirect
72. #10622597C22semidirect
73. #10622597C22semidirect
74. #10622597C22semidirect
75. #10622597C22semidirect
76. #10622597C22semidirect
77. #10622597C22semidirect
78. #10622596C22semidirect
79. #10622596C22semidirect
80. #10622595C22semidirect
81. #10622593C22semidirect
82. #10622593C22semidirect
83. #10622593C22semidirect
84. #10622592C22semidirect
85. #10622592C22semidirect
86. #10622591C22semidirect
87. #10622591C22semidirect
88. #10622587C22semidirect
89. #10622586C22semidirect
90. #10622586C22semidirect
91. #10622585C22semidirect
92. #10622585C22semidirect
148. #10622546C22semidirect
149. #10622546C22semidirect
150. #10622546C22semidirect
151. #10622546C22semidirect
152. #10622542C22semidirect
153. #10622541C22semidirect
154. #10622541C22semidirect
155. #10622274C22semidirect
156. #10622273C22semidirect
157. #10622273C22semidirect
158. #10622272C22semidirect
159. #10622271C22semidirect
160. #10622271C22semidirect
161. #10622271C22semidirect
162. #10622271C22semidirect
163. #10622270C22semidirect
164. #10622270C22semidirect
165. #10622270C22semidirect
166. #10622270C22semidirect
167. #10622270C22semidirect
168. #10622270C22semidirect
169. #10622270C22semidirect
170. #10622270C22semidirect
171. #10622269C22semidirect
172. #10622269C22semidirect
173. #10622268C22semidirect
174. #10622268C22semidirect
175. #10622267C22semidirect
176. #10622267C22semidirect
177. #10622266C22semidirect
178. #10622266C22semidirect
179. #10622265C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622265C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
1248. C11#36728semidirect

Maximal subgroups

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

subgroupindex
#130769012
#130758202
#130758162
#130758122
#130758082
#130755232
#130755202
#130755192
#130752792
#130752752
#130752712
#130752672
#130750872
#130750832
#130750792
#130750752
#130747332
#130745882
#130728612
#130728592
#130728562
#130727642
#130727622
#130727592
#130727572
#130713472
#130713442
C2×#106225552
C11×#24802
#3672811