Finite Group Databasebeta

← #14960901

Subgroups — #14960901

Order 2816.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076909C211yesmaximal, characteristic, complemented
2#13076907C211yesmaximal, characteristic, complemented
3#13075805C211yesmaximal, characteristic, complemented
4#13075785C211yesmaximal, characteristic, complemented
5#13075763C211yesmaximal, characteristic, complemented
6#13075718C211yesmaximal, characteristic, complemented
7#13075708C211yesmaximal, characteristic, complemented
8#13075680C211yesmaximal, characteristic, complemented
9#13075666C211yesmaximal, characteristic, complemented
10#13075319C211yesmaximal, characteristic, complemented
11#13075308C211yesmaximal, characteristic, complemented
12#13075286C211yesmaximal, characteristic, complemented
13#13075169C211yesmaximal, characteristic, complemented
14#13075158C211yesmaximal, characteristic, complemented
15#13075138C211yesmaximal, characteristic, complemented
16#13075123C211yesmaximal, characteristic, complemented
17#13075037C211yesmaximal, characteristic, complemented
18#13074426C211yesmaximal, characteristic, complemented
19#13074355C211yesmaximal, characteristic
20#13073181C211yesmaximal, characteristic, complemented
21#13073110C211yesmaximal, characteristic, complemented
22#13072880C211yesmaximal, characteristic, complemented
23#13072755C211yesmaximal, characteristic, complemented
24#13072443C211yesmaximal, characteristic, complemented
25#13072424C211yesmaximal, characteristic, complemented
26#13072365C211yesmaximal, characteristic, complemented
27#13072354C211yesmaximal, characteristic, complemented
28#13071272C211yesmaximal, characteristic, complemented
29#13071269C211yesmaximal, characteristic, complemented
30D11×#380C211yesmaximal, characteristic, complemented
31C11×#2743C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×#66990C2211yescharacteristic
34C2×#66982C2211yescharacteristic
35C2×C4×C22⋊D11C2211yescharacteristic
36C2×#66977C2211yescharacteristic, complemented
37C2×#66951C2211yescharacteristic, complemented
38C2×#66949C2211yescharacteristic
39C2×#66946C2211yescharacteristic
40C2×C4⋊C4×D11C2211yescharacteristic
41C2×C4⋊C4×D11C2211yescharacteristic
42C2×#66942C2211yescharacteristic, complemented
43C2×#66939C2211yescharacteristic
44C2×#66937C2211yescharacteristic
45C2×#66936C2211yescharacteristic
46C2×#66936C2211yescharacteristic
47C2×#66936C2211yescharacteristic, complemented
48C2×#66935C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C11×#400C2211yescharacteristic, complemented
52C11×#400C2211yescharacteristic, complemented
53C11×#400C2211yescharacteristic, complemented
54C11×#399C2211yescharacteristic, complemented
55C11×#396C2211yescharacteristic
56C11×#394C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#388C2211yescharacteristic, complemented
59C11×#387C2211yescharacteristic, complemented
60C11×#386C2211yescharacteristic
61C11×#386C2211yescharacteristic
62C11×#385C2211yescharacteristic, complemented
63C11×#381C2211yescharacteristic
64C11×#381C2211yescharacteristic, complemented
65C11×#380C2211yescharacteristic
66#10622836C2211yescharacteristic
67#10622834C2211yescharacteristic
68#10622833C2211yescharacteristic
69#10622826C2211yescharacteristic
70#10622826C2211yescharacteristic, complemented
71#10622825C2211yescharacteristic
72#10622823C2211yescharacteristic
73#10622607C2211yescharacteristic
74#10622607C2211yescharacteristic
75#10622607C2211yescharacteristic, complemented
76#10622606C2211yescharacteristic, complemented
77#10622605C2211yescharacteristic
78#10622604C2211yescharacteristic
79#10622603C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622602C2211yescharacteristic, complemented
82#10622600C2211yescharacteristic
83#10622600C2211yescharacteristic
84#10622600C2211yescharacteristic
85#10622600C2211yescharacteristic
86#10622600C2211yescharacteristic, complemented
87#10622599C2211yescharacteristic, complemented
88#10622598C2211yescharacteristic, complemented
89#10622597C2211yescharacteristic, complemented
90#10622597C2211yescharacteristic, complemented
91#10622596C2211yescharacteristic, complemented
92#10622594C2211yescharacteristic, complemented
93#10622593C2211yescharacteristic, complemented
94#10622585C2211yescharacteristic, complemented
95#10622574C2211yescharacteristic
96#10622574C2211yescharacteristic
97#10622574C2211yescharacteristic, complemented
98#10622573C2211yescharacteristic
99#10622572C2211yescharacteristic, complemented
100#10622570C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622569C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622568C2211yescharacteristic
108#10622568C2211yescharacteristic
109#10622566C2211yescharacteristic, complemented
110#10622565C2211yescharacteristic
111#10622565C2211yescharacteristic, complemented
112#10622565C2211yescharacteristic, complemented
113#10622564C2211yescharacteristic
114#10622564C2211yescharacteristic, complemented
115#10622563C2211yescharacteristic
116#10622562C2211yescharacteristic
117#10622562C2211yescharacteristic, complemented
118#10622561C2211yescharacteristic
119#10622561C2211yescharacteristic, complemented
120#10622560C2211yescharacteristic
121#10622557C2211yescharacteristic
122#10622557C2211yescharacteristic
123#10622557C2211yescharacteristic, complemented
124#10622556C2211yescharacteristic
125#10622555C2211yescharacteristic
126#10622555C2211yescharacteristic
127#10622552C2211yescharacteristic
128C4×(C2×D11)⋊C4C2211yescharacteristic
129#10622550C2211yescharacteristic, complemented
130#10622541C2211yescharacteristic, complemented
131#10622289C2211yescharacteristic, complemented
132#10622288C2211yescharacteristic
133#10622288C2211yescharacteristic, complemented
134#10622288C2211yescharacteristic, complemented
135#10622286C2211yescharacteristic
136#10622286C2211yescharacteristic, complemented
137#10622283C2211yescharacteristic
138#10622283C2211yescharacteristic, complemented
139#10622282C2211yescharacteristic
140#10622282C2211yescharacteristic
141#10622282C2211yescharacteristic, complemented
142#10622281C2211yescharacteristic
143#10622281C2211yescharacteristic
144#10622281C2211yescharacteristic
145#10622281C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622281C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622281C2211yescharacteristic, complemented
152#10622280C2211yescharacteristic
153#10622280C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622278C2211yescharacteristic
157#10622278C2211yescharacteristic
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622277C2211yescharacteristic
163#10622277C2211yescharacteristic
164D11×#95C2211yescharacteristic
165D11×#95C2211yescharacteristic
166C11⋊#401C2211yescharacteristic, complemented
167#10622274C2211yescharacteristic, complemented
168#10622274C2211yescharacteristic, complemented
169#10622273C2211yescharacteristic, complemented
170#10622273C2211yescharacteristic, complemented
171#10622272C2211yescharacteristic, complemented
172#10622272C2211yescharacteristic, complemented
173#10622271C2211yescharacteristic, complemented
174#10622270C2211yescharacteristic, complemented
175#10622269C2211yescharacteristic, complemented
176#10622268C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622267C2211yescharacteristic, complemented
179#10622267C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×D44C2311yescharacteristic
198C22×C4×D11—24no—
199C22×C4×D11—42no—
200C22×C4×D11—42no—
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
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
239#66990—24no—
240#66982—42no—
241C4×C22⋊D11—42no—
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
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×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279#66977—42no—
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×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301#66951—42no—
302#66949—42no—
303#66946—42no—
304C4⋊C4×D11—42no—
305C4⋊C4×D11—42no—
306#66942—42no—
307#66939—42no—
308#66937—42no—
309#66936—42no—
310#66936—42no—
311#66936—42no—
312#66935—24no—
313C22⋊C4×D11—42no—
314C22⋊C4×D11—42no—
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#36726—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C23×D11—22no—
367C23×D11—22no—
368C23×D11—41no—
369C23×D11—41no—
370C23×D11—41no—
371C23×D11—41no—
372C23×D11#4114yes—
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C23×D11C2411yescharacteristic
376C2×D4×C11—22no—
377C2×D4×C11—41no—
378C2×D4×C11—41no—
379C22×C4×C11—22no—
380C22×C4×C11—22no—
381C22×C4×C11—41no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11—41no—
385C22×C4×C11C2411yescharacteristic
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—22no—
403C2×C22⋊D11—41no—
404C2×C22⋊D11—41no—
405C2×C22⋊D11—41no—
406C2×C22⋊D11—41no—
407C2×C22⋊D11—41no—
408C2×C22⋊D11—41no—
409C2×C22⋊D11—41no—
410C22×Dic11—22no—
411C22×Dic11—22no—
412C22×Dic11—41no—
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C2×D44—22no—
427C2×D44—22no—
428C2×D44—22no—
429C2×D44—22no—
430C2×D44—41no—
431C2×D44—41no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—416no—
460C2×Dic22—41no—
461C2×Dic22—41no—
462C2×Dic22—41no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—41no—
465C11×C4⋊C4—41no—
466C11×C4⋊C4—41no—
467C11×C4⋊C4—41no—
468C11×C4⋊C4—41no—
469C11×C4⋊C4—41no—
470C11×C22⋊C4—22no—
471C11×C22⋊C4—22no—
472C11×C22⋊C4—41no—
473C11×C22⋊C4—41no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4—41no—
477C11×C22⋊C4—41no—
478C11×C22⋊C4—41no—
479C11×C22⋊C4—41no—
480C42×C11—41no—
481C22⋊Dic11—22no—
482C22⋊Dic11—22no—
483C22⋊Dic11—41no—
484C22⋊Dic11—41no—
485C22⋊Dic11—41no—
486C22⋊Dic11—41no—
487C22⋊Dic11—41no—
488C22⋊Dic11—41no—
489C22⋊Dic11—41no—
490C22⋊Dic11—41no—
491(C2×D11)⋊C4—22no—
492(C2×D11)⋊C4—22no—
493(C2×D11)⋊C4—22no—
494(C2×D11)⋊C4—22no—
495(C2×D11)⋊C4—22no—
496(C2×D11)⋊C4—22no—
497(C2×D11)⋊C4—22no—
498(C2×D11)⋊C4—22no—
499(C2×D11)⋊C4—22no—
500(C2×D11)⋊C4—22no—
501(C2×D11)⋊C4—41no—
502(C2×D11)⋊C4—41no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4—41no—
505(C2×D11)⋊C4—41no—
506(C2×D11)⋊C4—41no—
507(C2×D11)⋊C4—41no—
508(C2×D11)⋊C4—41no—
509(C2×D11)⋊C4—41no—
510(C2×D11)⋊C4—41no—
511(C2×D11)⋊C4—41no—
512(C2×D11)⋊C4—41no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4—41no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517C4⋊Dic11—22no—
518C4⋊Dic11—22no—
519C4⋊Dic11—22no—
520C4⋊Dic11—41no—
521C4⋊Dic11—41no—
522C4⋊Dic11—41no—
523C4⋊Dic11—41no—
524C4⋊Dic11—41no—
525C4⋊Dic11—41no—
526C4⋊Dic11—41no—
527C4⋊Dic11—41no—
528Dic11⋊C4—22no—
529Dic11⋊C4—22no—
530Dic11⋊C4—22no—
531Dic11⋊C4—22no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544C4×Dic11—41no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549#2849—111no—
550#2849—111no—
551#2746—111no—
552#2745—111no—
553#2744—111no—
554#2743D1111yescharacteristic, complemented
555#2740—111no—
556#2739—111no—
557#2738—111no—
558#2737—111no—
559#2707—111no—
560#2706—111no—
561#2705—111no—
562#2696—111no—
563#2695—111no—
564#2694—111no—
565#2693—111no—
566#2687—111no—
567#2626—111no—
568#2617—111no—
569#2510—111no—
570#2505—111no—
571#2481—111no—
572#2473—111no—
573#2450—111no—
574#2449—111no—
575#2444—111no—
576#2443—111no—
577#2321—111no—
578#2321—111no—
579C2×#380—111no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11C2×#4112yes—
594C23×C11C2511yescharacteristic
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—21no—
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—21no—
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—28no—
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—44no—
614C22×D11—44no—
615C22×D11—44no—
616C22×D11—44no—
617C22×D11—44no—
618C22×D11—44no—
619C22×D11C2×#4112yes—
620C22×D11C2×#4112yes—
621C22×D11H(5,𝔽2)12yes—
622C22×D112−1+412yes—
623D4×C11—82no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—44no—
663C2×C4×C11—82no—
664C2×C4×C11H(5,𝔽2)12yes—
665C22⋊D11—44no—
666C22⋊D11—82no—
667C22⋊D11—82no—
668C22⋊D11—82no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—44no—
708C2×Dic11H(5,𝔽2)12yes—
709D44—44no—
710D44—82no—
711C4×D11—28no—
712C4×D11—44no—
713C4×D11—44no—
714C4×D11—44no—
715C4×D11—82no—
716C4×D11—82no—
717C4×D11—82no—
718C4×D11—82no—
719C4×D11—82no—
720Dic22—82no—
721C24×C4—111no—
722C2×#126—111no—
723C2×#125—111no—
724C2×#123—111no—
725C2×#123—111no—
726C2×#123—111no—
727C2×#123—111no—
728C2×#123—111no—
729C2×C22⋊Q8—111no—
730C2×C22⋊Q8—111no—
731C2×#121—111no—
732C2×#120—111no—
733C2×#120—111no—
734C2×C4×D4—111no—
735C2×C4×D4—111no—
736C22×C4⋊C4—111no—
737C22×C4⋊C4—111no—
738C22×C22⋊C4—111no—
739C22×C22⋊C4—111no—
740#401—111no—
741#400—111no—
742#400—111no—
743#400—111no—
744#400—111no—
745#400—111no—
746#400—111no—
747#400C2×D1111yescharacteristic, complemented
748#400C2×D1111yescharacteristic, complemented
749#400C2×D1111yescharacteristic, complemented
750#399—111no—
751#399—111no—
752#399—111no—
753#399C2×D1111yescharacteristic, complemented
754#398—111no—
755#398—111no—
756#398—111no—
757#398—111no—
758#398—111no—
759#398—111no—
760#398—111no—
761#397—111no—
762#397—111no—
763#397—111no—
764#397—111no—
765#397—111no—
766#397—111no—
767#397—111no—
768#397—111no—
769#396—111no—
770#396—111no—
771#396—111no—
772#396—111no—
773#396—111no—
774#396—111no—
775#396C2×D1111yescharacteristic
776#395—111no—
777#394—111no—
778#394—111no—
779#394—111no—
780#394—111no—
781#394—111no—
782#394C2×D1111yescharacteristic
783#393—111no—
784#393—111no—
785#393—111no—
786#392—111no—
787#392—111no—
788#391—111no—
789#390—111no—
790#390—111no—
791#390—111no—
792#390—111no—
793#389—111no—
794#389—111no—
795#389—111no—
796#388—111no—
797#388—111no—
798#388—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388C2×D1111yescharacteristic
808#388C2×D1111yescharacteristic, complemented
809#387—111no—
810#387—111no—
811#387—111no—
812#387—111no—
813#387—111no—
814#387—111no—
815#387—111no—
816#387—111no—
817#387—111no—
818#387—111no—
819#387C2×D1111yescharacteristic, complemented
820#386—111no—
821#386—111no—
822#386—111no—
823#386—111no—
824#386—111no—
825#386—111no—
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386—111no—
831#386—111no—
832#386—111no—
833#386—111no—
834#386—111no—
835#386C2×D1111yescharacteristic
836#386C2×D1111yescharacteristic
837#385—111no—
838#385—111no—
839#385—111no—
840#385—111no—
841#385—111no—
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#385—111no—
850#385—111no—
851#385C2×D1111yescharacteristic, complemented
852#383—111no—
853#382—111no—
854#381—111no—
855#381—111no—
856#381—111no—
857#381C2×D1111yescharacteristic
858#381C2×D1111yescharacteristic, complemented
859#380—111no—
860#380—111no—
861#380—111no—
862#380—111no—
863#380—111no—
864#380—111no—
865#380—111no—
866#380—111no—
867#380—111no—
868#380—111no—
869#380C2×D1111yescharacteristic
870#379—111no—
871#379—111no—
872C4×C22⋊C4—111no—
873C4×C22⋊C4—111no—
874C2×#95—111no—
875C2×#95—111no—
876C22×C11—22no—
877C22×C11—22no—
878C22×C11—22no—
879C22×C11—41no—
880C22×C11—41no—
881C22×C11—41no—
882C22×C11—41no—
883C22×C11—41no—
884C22×C11—41no—
885C22×C11—41no—
886C22×C11—41no—
887C22×C11—41no—
888C22×C11—41no—
889C22×C11—41no—
890C22×C11C22×#4111yescharacteristic
891C22×C11C2×H(5,𝔽2)11yescharacteristic
892C22×C11C2×H(5,𝔽2)11yescharacteristic
893C22×C11C2×H(5,𝔽2)11yescharacteristic
894C22×C11C2×2−1+411yescharacteristic
895C22×C11#58511yescharacteristic
896C22×C11#58511yescharacteristic
897C2×D11—22no—
898C2×D11—22no—
899C2×D11—22no—
900C2×D11—22no—
901C2×D11—22no—
902C2×D11—22no—
903C2×D11—22no—
904C2×D11—22no—
905C2×D11—22no—
906C2×D11—416no—
907C2×D11—41no—
908C2×D11—41no—
909C2×D11—41no—
910C2×D11—41no—
911C2×D11—41no—
912C2×D11—41no—
913C2×D11—41no—
914C2×D11—41no—
915C2×D11—41no—
916C2×D11—41no—
917C2×D11—41no—
918C2×D11#53914yes—
919C4×C11—22no—
920C4×C11—41no—
921C4×C11—41no—
922C4×C11—41no—
923C4×C11—41no—
924C4×C11—41no—
925C4×C11—41no—
926C4×C11—41no—
927C4×C11—41no—
928C4×C11—41no—
929C4×C11—41no—
930C4×C11—41no—
931C4×C11—41no—
932Dic11—22no—
933Dic11—41no—
934Dic11—41no—
935Dic11—41no—
936Dic11—41no—
937Dic11—41no—
938Dic11—41no—
939Dic11—41no—
940Dic11—41no—
941Dic11—41no—
942Dic11—41no—
943Dic11—41no—
944Dic11—41no—
945C25—111no—
946C22×Q8—111no—
947C22×D4—111no—
948C22×D4—111no—
949C22×D4—111no—
950C22×D4—111no—
951C22×D4—111no—
952C22×D4—111no—
953C22×D4C22×D1111yescharacteristic
954C23×C4—111no—
955C23×C4—111no—
956C23×C4—111no—
957C23×C4—111no—
958C23×C4—111no—
959C23×C4—111no—
960C23×C4—111no—
961C23×C4—111no—
962C23×C4—111no—
963C23×C4—111no—
964C23×C4—224no—
965C23×C4—442no—
966C23×C4—442no—
967C23×C4C22×D1111yescharacteristic
968C23×C4C22×D1111yescharacteristic
969#126—442no—
970#125—442no—
971#123—442no—
972#123—442no—
973#123—442no—
974#123—442no—
975#123—442no—
976C22⋊Q8—442no—
977C22⋊Q8—442no—
978#121—442no—
979#120—224no—
980#120—224no—
981C4×D4—442no—
982C4×D4—442no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—111no—
987C2×C4⋊C4—111no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—442no—
1011C2×C4⋊C4—442no—
1012C2×C4⋊C4C22×D1111yescharacteristic
1013C2×C4⋊C4C22×D1111yescharacteristic
1014C2×C4⋊C4C22×D1111yescharacteristic
1015C2×C4⋊C4C22×D1111yescharacteristic
1016C2×C4⋊C4C22×D1111yescharacteristic
1017C2×C4⋊C4C22×D1111yescharacteristic
1018C2×C4⋊C4C22×D1111yescharacteristic
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—442no—
1056C2×C22⋊C4—442no—
1057C2×C22⋊C4C22×D1111yescharacteristic
1058C2×C22⋊C4C22×D1111yescharacteristic
1059C2×C22⋊C4C22×D1111yescharacteristic
1060C2×C22⋊C4C22×D1111yescharacteristic
1061C2×C22⋊C4C22×D1111yescharacteristic
1062C2×C22⋊C4C22×D1111yescharacteristic
1063C2×C22⋊C4C22×D1111yescharacteristic
1064C2×C22⋊C4C22×D1111yescharacteristic
1065C2×C22⋊C4C22×D1111yescharacteristic
1066C2×C22⋊C4C22×D1111yescharacteristic
1067C2×C42—111no—
1068C2×C42—111no—
1069C2×C42—111no—
1070C2×C42—111no—
1071C2×C42—111no—
1072C2×C42C22×D1111yescharacteristic
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95C22×D1111yescharacteristic
1108#95C22×D1111yescharacteristic
1109#95C22×D1111yescharacteristic
1110#95C22×D1111yescharacteristic
1111#95C22×D1111yescharacteristic
1112#95C22×D1111yescharacteristic
1113#95C22×D1111yescharacteristic
1114#95C22×D1111yescharacteristic
1115#95C22×D1111yescharacteristic
1116#95C22×D1111yescharacteristic
1117#95C22×D1111yescharacteristic
1118#95C22×D1111yescharacteristic
1119#95C22×D1111yescharacteristic
1120#95C22×D1111yescharacteristic
1121C2×C11—42no—
1122C2×C11—81no—
1123C2×C11C2×#53911yescharacteristic
1124C2×C11#349011yescharacteristic
1125C2×C11#349111yescharacteristic
1126C2×C11#354111yescharacteristic
1127C2×C11#354111yescharacteristic
1128C2×C11#354211yescharacteristic
1129C2×C11#354211yescharacteristic
1130D11—24no—
1131D11—42no—
1132D11—81no—
1133C24—111no—
1134C24—111no—
1135C24—114no—
1136C24—111no—
1137C24—222no—
1138C24—222no—
1139C24—441no—
1140C24—441no—
1141C24—441no—
1142C24—441no—
1143C24C23×D1111yescharacteristic
1144C24C23×D1111yescharacteristic
1145C2×Q8—441no—
1146C2×Q8—441no—
1147C2×Q8—441no—
1148C2×D4—22no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—222no—
1152C2×D4—222no—
1153C2×D4—222no—
1154C2×D4—222no—
1155C2×D4—222no—
1156C2×D4—222no—
1157C2×D4—222no—
1158C2×D4—222no—
1159C2×D4—222no—
1160C2×D4—441no—
1161C2×D4—441no—
1162C2×D4—441no—
1163C2×D4—441no—
1164C2×D4—441no—
1165C2×D4—441no—
1166C2×D4—441no—
1167C2×D4—441no—
1168C2×D4—441no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—111no—
1176C22×C4—111no—
1177C22×C4—111no—
1178C22×C4—111no—
1179C22×C4—111no—
1180C22×C4—111no—
1181C22×C4—111no—
1182C22×C4—111no—
1183C22×C4—111no—
1184C22×C4—111no—
1185C22×C4—111no—
1186C22×C4—111no—
1187C22×C4—111no—
1188C22×C4—222no—
1189C22×C4—222no—
1190C22×C4—222no—
1191C22×C4—222no—
1192C22×C4—222no—
1193C22×C4—222no—
1194C22×C4—222no—
1195C22×C4—222no—
1196C22×C4—222no—
1197C22×C4—222no—
1198C22×C4—222no—
1199C22×C4—222no—
1200C22×C4—222no—
1201C22×C4—222no—
1202C22×C4—441no—
1203C22×C4—441no—
1204C22×C4—441no—
1205C22×C4—441no—
1206C22×C4—441no—
1207C22×C4—441no—
1208C22×C4—441no—
1209C22×C4—441no—
1210C22×C4—441no—
1211C22×C4—441no—
1212C22×C4—441no—
1213C22×C4—441no—
1214C22×C4—441no—
1215C22×C4—441no—
1216C22×C4—441no—
1217C22×C4—4416no—
1218C22×C4—441no—
1219C22×C4C23×D1111yescharacteristic
1220C22×C4C23×D1111yescharacteristic
1221C22×C4C23×D1111yescharacteristic
1222C22×C4C23×D1111yescharacteristic
1223C22×C4C23×D1111yescharacteristic
1224C22×C4C23×D1111yescharacteristic
1225C22×C4C23×D1111yescharacteristic
1226C22×C4C23×D1111yescharacteristic
1227C22×C4C23×D1111yescharacteristic
1228C22×C4C23×D1111yescharacteristic
1229C22×C4C23×D1111yescharacteristic
1230C22×C4C23×D1111yescharacteristic
1231C22×C4C23×D1111yescharacteristic
1232C4⋊C4—22no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—222no—
1240C4⋊C4—222no—
1241C4⋊C4—222no—
1242C4⋊C4—222no—
1243C4⋊C4—222no—
1244C4⋊C4—222no—
1245C4⋊C4—222no—
1246C4⋊C4—441no—
1247C4⋊C4—441no—
1248C4⋊C4—441no—
1249C4⋊C4—441no—
1250C4⋊C4—441no—
1251C4⋊C4—441no—
1252C4⋊C4—441no—
1253C4⋊C4—441no—
1254C4⋊C4—441no—
1255C4⋊C4—441no—
1256C4⋊C4—441no—
1257C4⋊C4—441no—
1258C4⋊C4—441no—
1259C4⋊C4—441no—
1260C4⋊C4—441no—
1261C4⋊C4—441no—
1262C4⋊C4—441no—
1263C4⋊C4—441no—
1264C4⋊C4—441no—
1265C4⋊C4—441no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—222no—
1277C22⋊C4—222no—
1278C22⋊C4—222no—
1279C22⋊C4—222no—
1280C22⋊C4—222no—
1281C22⋊C4—222no—
1282C22⋊C4—222no—
1283C22⋊C4—222no—
1284C22⋊C4—222no—
1285C22⋊C4—222no—
1286C22⋊C4—222no—
1287C22⋊C4—222no—
1288C22⋊C4—441no—
1289C22⋊C4—441no—
1290C22⋊C4—441no—
1291C22⋊C4—441no—
1292C22⋊C4—441no—
1293C22⋊C4—441no—
1294C22⋊C4—441no—
1295C22⋊C4—441no—
1296C22⋊C4—441no—
1297C22⋊C4—441no—
1298C22⋊C4—441no—
1299C22⋊C4—441no—
1300C22⋊C4—441no—
1301C22⋊C4—441no—
1302C22⋊C4—441no—
1303C22⋊C4—441no—
1304C22⋊C4—441no—
1305C22⋊C4—441no—
1306C22⋊C4—441no—
1307C22⋊C4—441no—
1308C22⋊C4—441no—
1309C22⋊C4—441no—
1310C22⋊C4—441no—
1311C22⋊C4—441no—
1312C42—41no—
1313C42—441no—
1314C42—441no—
1315C42—441no—
1316C42—441no—
1317C42—441no—
1318C11#3672611yescharacteristic, complemented, Sylow
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—112no—
1333C23—112no—
1334C23—112no—
1335C23—112no—
1336C23—228no—
1337C23—221no—
1338C23—221no—
1339C23—221no—
1340C23—221no—
1341C23—221no—
1342C23—221no—
1343C23—221no—
1344C23—221no—
1345C23—221no—
1346C23—221no—
1347C23—221no—
1348C23—221no—
1349C23—221no—
1350C23—221no—
1351C23—221no—
1352C23—221no—
1353C23—221no—
1354C23—444no—
1355C23—444no—
1356C23—444no—
1357C23—444no—
1358C23—444no—
1359C23—444no—
1360C23#41×D1112yes—
1361C23C24×D1111yescharacteristic
1362Q8—882no—
1363D4—82no—
1364D4—444no—
1365D4—444no—
1366D4—882no—
1367D4—882no—
1368D4—882no—
1369D4—882no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—44no—
1409C2×C4—82no—
1410C2×C4—112no—
1411C2×C4—228no—
1412C2×C4—221no—
1413C2×C4—221no—
1414C2×C4—221no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
1448C2×C4—221no—
1449C2×C4—221no—
1450C2×C4—444no—
1451C2×C4—444no—
1452C2×C4—444no—
1453C2×C4—444no—
1454C2×C4—882no—
1455C2×C4—882no—
1456C2×C4—882no—
1457C2×C4—882no—
1458C2×C4—882no—
1459C2×C4#6704212yes—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—114no—
1475C22—222no—
1476C22—222no—
1477C22—222no—
1478C22—222no—
1479C22—222no—
1480C22—222no—
1481C22—222no—
1482C22—222no—
1483C22—222no—
1484C22—4416no—
1485C22—441no—
1486C22—441no—
1487C22—441no—
1488C22—441no—
1489C22—441no—
1490C22—441no—
1491C22—441no—
1492C22—441no—
1493C22—441no—
1494C22—441no—
1495C22—441no—
1496C22C2×#41×D1111yescharacteristic
1497C22C2×#6704211yescharacteristic
1498C22#1062345311yescharacteristic
1499C22D11×H(5,𝔽2)11yescharacteristic
1500C22D11×H(5,𝔽2)11yescharacteristic
1501C22#1062345511yescharacteristic
1502C22D11×2−1+411yescharacteristic
1503C4—22no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—222no—
1517C4—441no—
1518C4—441no—
1519C4—441no—
1520C4—441no—
1521C4—441no—
1522C4—441no—
1523C4—441no—
1524C4—441no—
1525C4—441no—
1526C4—441no—
1527C4—441no—
1528C4—441no—
1529C2—42no—
1530C2—81no—
1531C2—224no—
1532C2—442no—
1533C2—881no—
1534C2D11×#53911yescharacteristic
1535C2#1308230011yescharacteristic
1536C2#1308230711yescharacteristic
1537C2#1308289811yescharacteristic
1538C2#1308291211yescharacteristic
1539C2#1308293111yescharacteristic
1540C2#1308293811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2743C2
prime radical#13074355C2
hypercenter#2743D11
hypocenterC11#36726
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2743

Complements

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

NH ≅ G/Ntype
1. #13076909C2semidirect
2. #13076907C2semidirect
3. #13075805C2semidirect
4. #13075785C2semidirect
5. #13075763C2semidirect
6. #13075718C2semidirect
7. #13075708C2semidirect
8. #13075680C2semidirect
9. #13075666C2semidirect
10. #13075319C2semidirect
11. #13075308C2semidirect
12. #13075286C2semidirect
13. #13075169C2semidirect
14. #13075158C2semidirect
15. #13075138C2semidirect
16. #13075123C2semidirect
17. #13075037C2semidirect
18. #13074426C2semidirect
20. #13073181C2semidirect
21. #13073110C2semidirect
22. #13072880C2semidirect
23. #13072755C2semidirect
24. #13072443C2semidirect
25. #13072424C2semidirect
26. #13072365C2semidirect
27. #13072354C2semidirect
28. #13071272C2semidirect
29. #13071269C2semidirect
30. D11×#380C2semidirect
31. C11×#2743C2semidirect
36. C2×#66977C22semidirect
37. C2×#66951C22semidirect
42. C2×#66942C22semidirect
47. C2×#66936C22semidirect
51. C11×#400C22semidirect
52. C11×#400C22semidirect
53. C11×#400C22semidirect
54. C11×#399C22semidirect
58. C11×#388C22semidirect
59. C11×#387C22semidirect
62. C11×#385C22semidirect
64. C11×#381C22semidirect
70. #10622826C22semidirect
75. #10622607C22semidirect
76. #10622606C22semidirect
81. #10622602C22semidirect
86. #10622600C22semidirect
87. #10622599C22semidirect
88. #10622598C22semidirect
89. #10622597C22semidirect
90. #10622597C22semidirect
91. #10622596C22semidirect
92. #10622594C22semidirect
93. #10622593C22semidirect
94. #10622585C22semidirect
97. #10622574C22semidirect
99. #10622572C22semidirect
109. #10622566C22semidirect
111. #10622565C22semidirect
112. #10622565C22semidirect
114. #10622564C22semidirect
117. #10622562C22semidirect
119. #10622561C22semidirect
123. #10622557C22semidirect
129. #10622550C22semidirect
130. #10622541C22semidirect
131. #10622289C22semidirect
133. #10622288C22semidirect
134. #10622288C22semidirect
136. #10622286C22semidirect
138. #10622283C22semidirect
141. #10622282C22semidirect
151. #10622281C22semidirect
166. C11⋊#401C22semidirect
167. #10622274C22semidirect
168. #10622274C22semidirect
169. #10622273C22semidirect
170. #10622273C22semidirect
171. #10622272C22semidirect
172. #10622272C22semidirect
173. #10622271C22semidirect
174. #10622270C22semidirect
175. #10622269C22semidirect
176. #10622268C22semidirect
177. #10622268C22semidirect
178. #10622267C22semidirect
179. #10622267C22semidirect
180. #10622267C22semidirect
181. #10622267C22semidirect
182. #10622266C22semidirect
183. #10622266C22semidirect
184. #10622265C22semidirect
185. #10622263C22semidirect
186. #10622259C22semidirect
554. #2743D11semidirect
747. #400C2×D11semidirect
748. #400C2×D11semidirect
749. #400C2×D11semidirect
753. #399C2×D11semidirect
808. #388C2×D11semidirect
819. #387C2×D11semidirect
851. #385C2×D11semidirect
858. #381C2×D11semidirect
1318. C11#36726semidirect

Maximal subgroups

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

subgroupindex
#130769092
#130769072
#130758052
#130757852
#130757632
#130757182
#130757082
#130756802
#130756662
#130753192
#130753082
#130752862
#130751692
#130751582
#130751382
#130751232
#130750372
#130744262
#130743552
#130731812
#130731102
#130728802
#130727552
#130724432
#130724242
#130723652
#130723542
#130712722
#130712692
D11×#3802
C11×#27432
#3672611