Finite Group Databasebeta

← #14961784

Subgroups — #14961784

Order 2816.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076966C211yesmaximal, characteristic, complemented
2#13076913C211yesmaximal, characteristic, complemented
3#13076511C211yesmaximal, characteristic, complemented
4#13076507C211yesmaximal, characteristic, complemented
5#13076485C211yesmaximal, characteristic, complemented
6#13076481C211yesmaximal, characteristic, complemented
7#13076253C211yesmaximal, characteristic, complemented
8#13076248C211yesmaximal, characteristic, complemented
9#13075911C211yesmaximal, characteristic, complemented
10#13075907C211yesmaximal, characteristic, complemented
11#13075628C211yesmaximal, characteristic, complemented
12#13075623C211yesmaximal, characteristic, complemented
13#13075462C211yesmaximal, characteristic, complemented
14#13075459C211yesmaximal, characteristic, complemented
15#13075389C211yesmaximal, characteristic, complemented
16#13075383C211yesmaximal, characteristic, complemented
17#13075285C211yesmaximal, characteristic, complemented
18#13075282C211yesmaximal, characteristic, complemented
19#13074425C211yesmaximal, characteristic, complemented
20#13074354C211yesmaximal, characteristic
21#13072884C211yesmaximal, characteristic, complemented
22#13072882C211yesmaximal, characteristic, complemented
23#13072741C211yesmaximal, characteristic, complemented
24#13072739C211yesmaximal, characteristic, complemented
25#13072442C211yesmaximal, characteristic, complemented
26#13072434C211yesmaximal, characteristic, complemented
27#13072078C211yesmaximal, characteristic, complemented
28#13071347C211yesmaximal, characteristic, complemented
29#13071314C211yesmaximal, characteristic, complemented
30C2×#10622558C211yesmaximal, characteristic, complemented
31C11×#2418C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×C11×#120C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C22×C11×C22⋊C4C2211yescharacteristic
36C2×#67006C2211yescharacteristic
37C22×C22⋊Dic11C2211yescharacteristic
38C22×C22⋊Dic11C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66989C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C22×Dic11⋊C4C2211yescharacteristic
43C22×C4×Dic11C2211yescharacteristic
44C2×#66951C2211yescharacteristic, complemented
45C2×#66941C2211yescharacteristic, complemented
46C2×#66938C2211yescharacteristic
47C2×#66938C2211yescharacteristic, complemented
48C2×#66936C2211yescharacteristic
49C2×#66932C2211yescharacteristic, complemented
50C2×#66931C2211yescharacteristic
51C2×#66931C2211yescharacteristic
52C2×#66931C2211yescharacteristic
53C11×#399C2211yescharacteristic
54C11×#397C2211yescharacteristic
55C11×#394C2211yescharacteristic
56C11×#394C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#386C2211yescharacteristic
60C11×#386C2211yescharacteristic
61C11×#385C2211yescharacteristic
62C11×#380C2211yescharacteristic
63C11×#379C2211yescharacteristic
64#10622860C2211yescharacteristic
65#10622836C2211yescharacteristic
66#10622836C2211yescharacteristic
67#10622835C2211yescharacteristic
68#10622835C2211yescharacteristic
69#10622835C2211yescharacteristic
70#10622835C2211yescharacteristic
71#10622834C2211yescharacteristic
72#10622833C2211yescharacteristic
73#10622833C2211yescharacteristic
74#10622833C2211yescharacteristic
75#10622826C2211yescharacteristic
76#10622826C2211yescharacteristic, complemented
77#10622825C2211yescharacteristic
78#10622825C2211yescharacteristic, complemented
79#10622823C2211yescharacteristic
80#10622823C2211yescharacteristic, complemented
81#10622823C2211yescharacteristic, complemented
82C2×C11⋊#95C2211yescharacteristic
83C2×C11⋊#95C2211yescharacteristic
84#10622607C2211yescharacteristic, complemented
85#10622607C2211yescharacteristic, complemented
86#10622602C2211yescharacteristic, complemented
87#10622602C2211yescharacteristic, complemented
88#10622599C2211yescharacteristic, complemented
89#10622598C2211yescharacteristic, complemented
90#10622597C2211yescharacteristic, complemented
91#10622595C2211yescharacteristic, complemented
92#10622594C2211yescharacteristic, complemented
93#10622593C2211yescharacteristic, complemented
94#10622591C2211yescharacteristic, complemented
95#10622591C2211yescharacteristic, complemented
96#10622591C2211yescharacteristic, complemented
97#10622589C2211yescharacteristic, complemented
98#10622587C2211yescharacteristic, complemented
99#10622586C2211yescharacteristic, complemented
100#10622586C2211yescharacteristic, complemented
101#10622585C2211yescharacteristic, complemented
102#10622574C2211yescharacteristic
103#10622574C2211yescharacteristic
104#10622572C2211yescharacteristic
105#10622572C2211yescharacteristic
106#10622572C2211yescharacteristic
107#10622572C2211yescharacteristic
108#10622571C2211yescharacteristic
109#10622571C2211yescharacteristic
110#10622571C2211yescharacteristic
111#10622570C2211yescharacteristic
112#10622570C2211yescharacteristic, complemented
113#10622569C2211yescharacteristic
114#10622569C2211yescharacteristic, complemented
115#10622566C2211yescharacteristic
116#10622565C2211yescharacteristic
117#10622565C2211yescharacteristic
118#10622565C2211yescharacteristic
119#10622565C2211yescharacteristic
120#10622565C2211yescharacteristic, complemented
121#10622564C2211yescharacteristic
122#10622564C2211yescharacteristic
123#10622564C2211yescharacteristic, complemented
124#10622563C2211yescharacteristic
125#10622562C2211yescharacteristic
126#10622562C2211yescharacteristic
127#10622562C2211yescharacteristic
128#10622561C2211yescharacteristic
129#10622561C2211yescharacteristic
130#10622561C2211yescharacteristic
131#10622561C2211yescharacteristic
132#10622561C2211yescharacteristic, complemented
133#10622561C2211yescharacteristic, complemented
134#10622560C2211yescharacteristic
135#10622560C2211yescharacteristic
136#10622560C2211yescharacteristic
137#10622560C2211yescharacteristic
138#10622560C2211yescharacteristic, complemented
139#10622559C2211yescharacteristic
140#10622558C2211yescharacteristic
141#10622558C2211yescharacteristic
142#10622558C2211yescharacteristic
143#10622558C2211yescharacteristic
144#10622558C2211yescharacteristic
145#10622558C2211yescharacteristic
146#10622558C2211yescharacteristic
147#10622558C2211yescharacteristic
148#10622558C2211yescharacteristic
149#10622558C2211yescharacteristic
150#10622558C2211yescharacteristic
151#10622557C2211yescharacteristic
152#10622557C2211yescharacteristic, complemented
153#10622557C2211yescharacteristic, complemented
154#10622557C2211yescharacteristic, complemented
155#10622555C2211yescharacteristic
156#10622555C2211yescharacteristic
157C22⋊C4×Dic11C2211yescharacteristic
158C22⋊C4×Dic11C2211yescharacteristic
159#10622553C2211yescharacteristic, complemented
160#10622546C2211yescharacteristic, complemented
161#10622546C2211yescharacteristic, complemented
162#10622542C2211yescharacteristic, complemented
163#10622288C2211yescharacteristic, complemented
164#10622286C2211yescharacteristic, complemented
165#10622283C2211yescharacteristic, complemented
166#10622282C2211yescharacteristic, complemented
167#10622282C2211yescharacteristic, complemented
168#10622280C2211yescharacteristic, complemented
169#10622273C2211yescharacteristic, complemented
170#10622272C2211yescharacteristic, complemented
171#10622271C2211yescharacteristic, complemented
172#10622271C2211yescharacteristic, complemented
173#10622268C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622266C2211yescharacteristic, complemented
176#10622265C2211yescharacteristic, complemented
177#10622265C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622263C2211yescharacteristic, complemented
180#10622260C2211yescharacteristic, complemented
181#10622260C2211yescharacteristic, complemented
182#10622259C2211yescharacteristic, complemented
183#10622259C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×Dic22C2311yescharacteristic
204C22×Dic22C2311yescharacteristic
205C22×Dic22C2311yescharacteristic
206C11×#123—42no—
207C11×#120—42no—
208C4×D4×C11—42no—
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4—42no—
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×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232#67006—42no—
233C2×C22⋊Dic11—24no—
234C2×C22⋊Dic11—42no—
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259#66992—24no—
260#66989—42no—
261C4×C22⋊D11—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×Dic11⋊C4—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×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×C4×Dic11—42no—
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310#66951—42no—
311#66941—42no—
312#66938—42no—
313#66938—42no—
314#66936—42no—
315#66932—42no—
316#66931—24no—
317#66931—42no—
318#66931—42no—
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#36765—111nomaximal, Sylow
364C24×C11—22no—
365C24×C11—22no—
366C24×C11—22no—
367C24×C11—41no—
368C24×C11—41no—
369C24×C11—41no—
370C24×C11—41no—
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C24×C11C2411yescharacteristic
375C23×D11C2411yescharacteristic
376C2×D4×C11—22no—
377C2×D4×C11—22no—
378C2×D4×C11—22no—
379C2×D4×C11—41no—
380C2×D4×C11—41no—
381C2×D4×C11—41no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C22×C4×C11—22no—
386C22×C4×C11—22no—
387C22×C4×C11—22no—
388C22×C4×C11—41no—
389C22×C4×C11—41no—
390C22×C4×C11—41no—
391C22×C4×C11—41no—
392C22×C4×C11—41no—
393C22×C4×C11—41no—
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C2×C22⋊D11—22no—
406C2×C22⋊D11—22no—
407C2×C22⋊D11—22no—
408C2×C22⋊D11—22no—
409C2×C22⋊D11—41no—
410C2×C22⋊D11—41no—
411C2×C22⋊D11—41no—
412C2×C22⋊D11—41no—
413C2×C22⋊D11—41no—
414C2×C22⋊D11—41no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11—41no—
417C22×Dic11—22no—
418C22×Dic11—22no—
419C22×Dic11—22no—
420C22×Dic11—22no—
421C22×Dic11—41no—
422C22×Dic11—41no—
423C22×Dic11—41no—
424C22×Dic11—41no—
425C22×Dic11—41no—
426C22×Dic11—41no—
427C22×Dic11—41no—
428C22×Dic11#4114yes—
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×Dic22—22no—
448C2×Dic22—22no—
449C2×Dic22—22no—
450C2×Dic22—41no—
451C2×Dic22—41no—
452C2×Dic22—41no—
453C2×Dic22—41no—
454C2×Dic22—41no—
455C2×Dic22—41no—
456C11×C4⋊C4—22no—
457C11×C4⋊C4—41no—
458C11×C4⋊C4—41no—
459C11×C4⋊C4—41no—
460C11×C4⋊C4—41no—
461C11×C22⋊C4—22no—
462C11×C22⋊C4—22no—
463C11×C22⋊C4—22no—
464C11×C22⋊C4—22no—
465C11×C22⋊C4—22no—
466C11×C22⋊C4—22no—
467C11×C22⋊C4—41no—
468C11×C22⋊C4—41no—
469C11×C22⋊C4—41no—
470C11×C22⋊C4—41no—
471C11×C22⋊C4—41no—
472C11×C22⋊C4—41no—
473C11×C22⋊C4—41no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4—41no—
477C42×C11—41no—
478C22⋊Dic11—22no—
479C22⋊Dic11—22no—
480C22⋊Dic11—22no—
481C22⋊Dic11—22no—
482C22⋊Dic11—22no—
483C22⋊Dic11—22no—
484C22⋊Dic11—22no—
485C22⋊Dic11—22no—
486C22⋊Dic11—22no—
487C22⋊Dic11—22no—
488C22⋊Dic11—22no—
489C22⋊Dic11—41no—
490C22⋊Dic11—41no—
491C22⋊Dic11—41no—
492C22⋊Dic11—41no—
493C22⋊Dic11—41no—
494C22⋊Dic11—41no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
497C22⋊Dic11—41no—
498C22⋊Dic11—41no—
499C22⋊Dic11—41no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
502(C2×D11)⋊C4—22no—
503(C2×D11)⋊C4—22no—
504(C2×D11)⋊C4—22no—
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—
512C4⋊Dic11—22no—
513C4⋊Dic11—22no—
514C4⋊Dic11—41no—
515C4⋊Dic11—41no—
516C4⋊Dic11—41no—
517C4⋊Dic11—41no—
518C4⋊Dic11—41no—
519Dic11⋊C4—22no—
520Dic11⋊C4—22no—
521Dic11⋊C4—22no—
522Dic11⋊C4—22no—
523Dic11⋊C4—22no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529Dic11⋊C4—41no—
530Dic11⋊C4—41no—
531Dic11⋊C4—41no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539C4×Dic11—22no—
540C4×Dic11—22no—
541C4×Dic11—41no—
542C4×Dic11—41no—
543C4×Dic11—41no—
544C4×Dic11—41no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548#2857—111no—
549#2850—111no—
550#2800—111no—
551#2800—111no—
552#2798—111no—
553#2798—111no—
554#2779—111no—
555#2779—111no—
556#2754—111no—
557#2754—111no—
558#2731—111no—
559#2731—111no—
560#2718—111no—
561#2718—111no—
562#2712—111no—
563#2712—111no—
564#2705—111no—
565#2705—111no—
566#2626—111no—
567#2617—111no—
568#2481—111no—
569#2481—111no—
570#2472—111no—
571#2472—111no—
572#2450—111no—
573#2450—111no—
574#2418—111no—
575#2418D1111yescharacteristic, complemented
576#2329—111no—
577#2325—111no—
578C2×#388—111no—
579C23×C11—21no—
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×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—44no—
605C23×C11—44no—
606C23×C11—44no—
607C23×C11—82no—
608C23×C11—82no—
609C23×C11—82no—
610C23×C11—82no—
611C23×C11C2×#4112yes—
612C23×C11H(5,𝔽2)12yes—
613C23×C112−1+412yes—
614C23×C11C2511yescharacteristic
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622D4×C11—44no—
623D4×C11—82no—
624D4×C11—82no—
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—44no—
658C2×C4×C11—82no—
659C2×C4×C11—82no—
660C2×C4×C11H(5,𝔽2)12yes—
661C22⋊D11—44no—
662C22⋊D11—82no—
663C22⋊D11—82no—
664C22⋊D11—82no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—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×Dic11—44no—
709C2×Dic11—44no—
710C2×Dic11—82no—
711C2×Dic11C2×#4112yes—
712C2×Dic11C2×#4112yes—
713C2×Dic11H(5,𝔽2)12yes—
714C4×D11—82no—
715Dic22—82no—
716Dic22—82no—
717Dic22—82no—
718C2×C4⋊Q8—111no—
719C2×#126—111no—
720C2×#126—111no—
721C2×#124—111no—
722C2×#124—111no—
723C2×#124—111no—
724C2×#123—111no—
725C2×#123C2×D1111yescharacteristic
726C2×C22⋊Q8—111no—
727C2×C22⋊Q8—111no—
728C2×C22⋊Q8—111no—
729C2×#121—111no—
730C2×#120—111no—
731C2×#120C2×D1111yescharacteristic
732C2×C4×D4—111no—
733C2×C4×D4C2×D1111yescharacteristic
734C22×C4⋊C4—111no—
735C22×C22⋊C4—111no—
736C22×C22⋊C4—111no—
737C22×C22⋊C4C2×D1111yescharacteristic
738C22×C42—111no—
739#400—111no—
740#400—111no—
741#400—111no—
742#400—111no—
743#400—111no—
744#400—111no—
745#399—111no—
746#399—111no—
747#399—111no—
748#399C2×D1111yescharacteristic
749#398—111no—
750#398—111no—
751#397—111no—
752#397—111no—
753#397—111no—
754#397—111no—
755#397—111no—
756#397—111no—
757#397—111no—
758#397C2×D1111yescharacteristic
759#396—111no—
760#396—111no—
761#396—111no—
762#396—111no—
763#396—111no—
764#396—111no—
765#396—111no—
766#396—111no—
767#394—111no—
768#394—111no—
769#394—111no—
770#394—111no—
771#394—111no—
772#394—111no—
773#394—111no—
774#394—111no—
775#394—111no—
776#394—111no—
777#394C2×D1111yescharacteristic
778#394C2×D1111yescharacteristic
779#393—111no—
780#393—111no—
781#393—111no—
782#393—111no—
783#393—111no—
784#393—111no—
785#392—111no—
786#392—111no—
787#391—111no—
788#391—111no—
789#391—111no—
790#391—111no—
791#391—111no—
792#391—111no—
793#391—111no—
794#390—111no—
795#390—111no—
796#390—111no—
797#389—111no—
798#389—111no—
799#389—111no—
800#389—111no—
801#389—111no—
802#389—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388—111no—
814#388—111no—
815#388—111no—
816#388—111no—
817#388—111no—
818#388—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#388—111no—
824#388—111no—
825#388C2×D1111yescharacteristic
826#388C2×D1111yescharacteristic
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387—111no—
832#387—111no—
833#387—111no—
834#387—111no—
835#387—111no—
836#387—111no—
837#387—111no—
838#387—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#386—111no—
843#386—111no—
844#386—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#386—111no—
849#386C2×D1111yescharacteristic
850#386C2×D1111yescharacteristic
851#385—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385—111no—
858#385C2×D1111yescharacteristic
859#384—111no—
860#382—111no—
861#380—111no—
862#380—111no—
863#380—111no—
864#380—111no—
865#380—111no—
866#380C2×D1111yescharacteristic
867#379—111no—
868#379C2×D1111yescharacteristic
869C4×C22⋊C4—111no—
870C4×C22⋊C4—111no—
871C2×#95—111no—
872C2×#95—111no—
873C22×C11—22no—
874C22×C11—22no—
875C22×C11—22no—
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×C11—41no—
891C22×C11—41no—
892C22×C11—41no—
893C22×C11—41no—
894C22×C11—41no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11—88no—
901C22×C11#54214yes—
902C22×C11C22×#4111yescharacteristic
903C22×C11C2×H(5,𝔽2)11yescharacteristic
904C22×C11C2×H(5,𝔽2)11yescharacteristic
905C22×C11C2×H(5,𝔽2)11yescharacteristic
906C22×C11C2×2−1+411yescharacteristic
907C22×C11#58511yescharacteristic
908C22×C11#58511yescharacteristic
909C2×D11—41no—
910C2×D11—41no—
911C2×D11—41no—
912C2×D11—41no—
913C2×D11—41no—
914C2×D11—41no—
915C2×D11—41no—
916C4×C11—22no—
917C4×C11—41no—
918C4×C11—41no—
919C4×C11—41no—
920C4×C11—41no—
921C4×C11—41no—
922C4×C11—41no—
923C4×C11—41no—
924C4×C11—41no—
925C4×C11—41no—
926C4×C11—41no—
927Dic11—22no—
928Dic11—22no—
929Dic11—22no—
930Dic11—41no—
931Dic11—41no—
932Dic11—41no—
933Dic11—41no—
934Dic11—41no—
935Dic11—41no—
936Dic11—41no—
937Dic11—41no—
938Dic11—41no—
939Dic11—41no—
940Dic11—41no—
941Dic11—41no—
942C25C22×D1111yescharacteristic
943C22×Q8—111no—
944C22×Q8—111no—
945C22×Q8—111no—
946C22×D4—111no—
947C22×D4—111no—
948C22×D4—111no—
949C22×D4—111no—
950C22×D4C22×D1111yescharacteristic
951C22×D4C22×D1111yescharacteristic
952C22×D4C22×D1111yescharacteristic
953C23×C4—111no—
954C23×C4—111no—
955C23×C4—111no—
956C23×C4—111no—
957C23×C4—111no—
958C23×C4C22×D1111yescharacteristic
959C23×C4C22×D1111yescharacteristic
960C23×C4C22×D1111yescharacteristic
961C4⋊Q8—442no—
962#126—442no—
963#126—442no—
964#124—442no—
965#124—442no—
966#124—442no—
967#123—42no—
968#123—442no—
969C22⋊Q8—224no—
970C22⋊Q8—442no—
971C22⋊Q8—442no—
972#121—224no—
973#120—42no—
974#120—442no—
975C4×D4—42no—
976C4×D4—442no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
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—442no—
1005C2×C4⋊C4C22×D1111yescharacteristic
1006C2×C4⋊C4C22×D1111yescharacteristic
1007C2×C4⋊C4C22×D1111yescharacteristic
1008C2×C4⋊C4C22×D1111yescharacteristic
1009C2×C4⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4—42no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
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—224no—
1046C2×C22⋊C4—442no—
1047C2×C22⋊C4C22×D1111yescharacteristic
1048C2×C22⋊C4C22×D1111yescharacteristic
1049C2×C22⋊C4C22×D1111yescharacteristic
1050C2×C22⋊C4C22×D1111yescharacteristic
1051C2×C22⋊C4C22×D1111yescharacteristic
1052C2×C22⋊C4C22×D1111yescharacteristic
1053C2×C22⋊C4C22×D1111yescharacteristic
1054C2×C22⋊C4C22×D1111yescharacteristic
1055C2×C22⋊C4C22×D1111yescharacteristic
1056C2×C22⋊C4C22×D1111yescharacteristic
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×C42—111no—
1064C2×C42—111no—
1065C2×C42—111no—
1066C2×C42—111no—
1067C2×C42—111no—
1068C2×C42—111no—
1069C2×C42—111no—
1070C2×C42—111no—
1071C2×C42—111no—
1072C2×C42—442no—
1073C2×C42C22×D1111yescharacteristic
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#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95C22×D1111yescharacteristic
1113#95C22×D1111yescharacteristic
1114#95C22×D1111yescharacteristic
1115#95C22×D1111yescharacteristic
1116#95C22×D1111yescharacteristic
1117#95C22×D1111yescharacteristic
1118C2×C11—24no—
1119C2×C11—81no—
1120C2×C11—81no—
1121C2×C11—81no—
1122C2×C11C2×#54211yescharacteristic
1123C2×C11#350511yescharacteristic
1124C2×C11#350611yescharacteristic
1125C2×C11#353411yescharacteristic
1126C2×C11#353611yescharacteristic
1127C2×C11#355811yescharacteristic
1128C2×C11#356411yescharacteristic
1129D11—81no—
1130C24—22no—
1131C24—22no—
1132C24—22no—
1133C24—41no—
1134C24—41no—
1135C24—41no—
1136C24—41no—
1137C24—111no—
1138C24C23×D1111yescharacteristic
1139C24C23×D1111yescharacteristic
1140C24C23×D1111yescharacteristic
1141C24C23×D1111yescharacteristic
1142C2×Q8—222no—
1143C2×Q8—222no—
1144C2×Q8—222no—
1145C2×Q8—441no—
1146C2×Q8—441no—
1147C2×Q8—441no—
1148C2×Q8—441no—
1149C2×Q8—441no—
1150C2×Q8—441no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—222no—
1161C2×D4—222no—
1162C2×D4—222no—
1163C2×D4—222no—
1164C2×D4—441no—
1165C2×D4—441no—
1166C2×D4—441no—
1167C2×D4—441no—
1168C2×D4—441no—
1169C2×D4—441no—
1170C2×D4—441no—
1171C2×D4—441no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—111no—
1182C22×C4—111no—
1183C22×C4—111no—
1184C22×C4—114no—
1185C22×C4—111no—
1186C22×C4—111no—
1187C22×C4—111no—
1188C22×C4—111no—
1189C22×C4—111no—
1190C22×C4—111no—
1191C22×C4—111no—
1192C22×C4—111no—
1193C22×C4—111no—
1194C22×C4—111no—
1195C22×C4—111no—
1196C22×C4—111no—
1197C22×C4—222no—
1198C22×C4—222no—
1199C22×C4—222no—
1200C22×C4—222no—
1201C22×C4—441no—
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×C4C23×D1111yescharacteristic
1212C22×C4C23×D1111yescharacteristic
1213C22×C4C23×D1111yescharacteristic
1214C22×C4C23×D1111yescharacteristic
1215C22×C4C23×D1111yescharacteristic
1216C22×C4C23×D1111yescharacteristic
1217C22×C4C23×D1111yescharacteristic
1218C22×C4C23×D1111yescharacteristic
1219C22×C4C23×D1111yescharacteristic
1220C22×C4C23×D1111yescharacteristic
1221C22×C4C23×D1111yescharacteristic
1222C4⋊C4—22no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—222no—
1228C4⋊C4—222no—
1229C4⋊C4—222no—
1230C4⋊C4—222no—
1231C4⋊C4—222no—
1232C4⋊C4—222no—
1233C4⋊C4—222no—
1234C4⋊C4—441no—
1235C4⋊C4—441no—
1236C4⋊C4—441no—
1237C4⋊C4—441no—
1238C4⋊C4—441no—
1239C4⋊C4—441no—
1240C4⋊C4—441no—
1241C4⋊C4—441no—
1242C4⋊C4—441no—
1243C4⋊C4—441no—
1244C4⋊C4—441no—
1245C4⋊C4—441no—
1246C4⋊C4—441no—
1247C4⋊C4—441no—
1248C4⋊C4—441no—
1249C4⋊C4—441no—
1250C4⋊C4—441no—
1251C4⋊C4—441no—
1252C4⋊C4—441no—
1253C4⋊C4—441no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—222no—
1271C22⋊C4—222no—
1272C22⋊C4—222no—
1273C22⋊C4—222no—
1274C22⋊C4—222no—
1275C22⋊C4—222no—
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—441no—
1285C22⋊C4—441no—
1286C22⋊C4—441no—
1287C22⋊C4—441no—
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—
1304C42—41no—
1305C42—222no—
1306C42—222no—
1307C42—441no—
1308C42—441no—
1309C42—441no—
1310C42—441no—
1311C42—441no—
1312C42—441no—
1313C42—441no—
1314C11#3676511yescharacteristic, complemented, Sylow
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
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—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—44no—
1341C23—44no—
1342C23—44no—
1343C23—82no—
1344C23—82no—
1345C23—82no—
1346C23—82no—
1347C23—221no—
1348C23—221no—
1349C23—221no—
1350C23—221no—
1351C23—221no—
1352C23—221no—
1353C23—221no—
1354C23#6703712yes—
1355C23#41×D1112yes—
1356C23#6704312yes—
1357C23C24×D1111yescharacteristic
1358Q8—882no—
1359Q8—882no—
1360Q8—882no—
1361D4—44no—
1362D4—82no—
1363D4—82no—
1364D4—444no—
1365D4—882no—
1366D4—882no—
1367D4—882no—
1368C2×C4—21no—
1369C2×C4—21no—
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—44no—
1401C2×C4—82no—
1402C2×C4—82no—
1403C2×C4—112no—
1404C2×C4—112no—
1405C2×C4—112no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—221no—
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—444no—
1449C2×C4—444no—
1450C2×C4—444no—
1451C2×C4—882no—
1452C2×C4—882no—
1453C2×C4#6703712yes—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—88no—
1482C22—441no—
1483C22—441no—
1484C22—441no—
1485C22—441no—
1486C22—441no—
1487C22—441no—
1488C22—441no—
1489C22#1062319314yes—
1490C22C2×#6703711yescharacteristic
1491C22C2×#6703711yescharacteristic
1492C22C2×#41×D1111yescharacteristic
1493C22C2×#6704311yescharacteristic
1494C22#1062345311yescharacteristic
1495C22D11×H(5,𝔽2)11yescharacteristic
1496C22#1062345511yescharacteristic
1497C4—22no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—222no—
1509C4—222no—
1510C4—222no—
1511C4—441no—
1512C4—441no—
1513C4—441no—
1514C4—441no—
1515C4—441no—
1516C4—441no—
1517C4—441no—
1518C4—441no—
1519C4—441no—
1520C4—441no—
1521C4—441no—
1522C4—441no—
1523C2—24no—
1524C2—81no—
1525C2—81no—
1526C2—81no—
1527C2—881no—
1528C2C2×#1062319311yescharacteristic
1529C2#1308245411yescharacteristic
1530C2#1308245911yescharacteristic
1531C2#1308280111yescharacteristic
1532C2#1308283111yescharacteristic
1533C2#1308313011yescharacteristic
1534C2#1308322811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2418C2
prime radical#13074354C2
hypercenter#2418D11
hypocenterC11#36765
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. #13076966C2semidirect
2. #13076913C2semidirect
3. #13076511C2semidirect
4. #13076507C2semidirect
5. #13076485C2semidirect
6. #13076481C2semidirect
7. #13076253C2semidirect
8. #13076248C2semidirect
9. #13075911C2semidirect
10. #13075907C2semidirect
11. #13075628C2semidirect
12. #13075623C2semidirect
13. #13075462C2semidirect
14. #13075459C2semidirect
15. #13075389C2semidirect
16. #13075383C2semidirect
17. #13075285C2semidirect
18. #13075282C2semidirect
19. #13074425C2semidirect
21. #13072884C2semidirect
22. #13072882C2semidirect
23. #13072741C2semidirect
24. #13072739C2semidirect
25. #13072442C2semidirect
26. #13072434C2semidirect
27. #13072078C2semidirect
28. #13071347C2semidirect
29. #13071314C2semidirect
30. C2×#10622558C2semidirect
31. C11×#2418C2semidirect
44. C2×#66951C22semidirect
45. C2×#66941C22semidirect
47. C2×#66938C22semidirect
49. C2×#66932C22semidirect
76. #10622826C22semidirect
78. #10622825C22semidirect
80. #10622823C22semidirect
81. #10622823C22semidirect
84. #10622607C22semidirect
85. #10622607C22semidirect
86. #10622602C22semidirect
87. #10622602C22semidirect
88. #10622599C22semidirect
89. #10622598C22semidirect
90. #10622597C22semidirect
91. #10622595C22semidirect
92. #10622594C22semidirect
93. #10622593C22semidirect
94. #10622591C22semidirect
95. #10622591C22semidirect
96. #10622591C22semidirect
97. #10622589C22semidirect
98. #10622587C22semidirect
99. #10622586C22semidirect
100. #10622586C22semidirect
101. #10622585C22semidirect
112. #10622570C22semidirect
114. #10622569C22semidirect
120. #10622565C22semidirect
123. #10622564C22semidirect
132. #10622561C22semidirect
133. #10622561C22semidirect
138. #10622560C22semidirect
152. #10622557C22semidirect
153. #10622557C22semidirect
154. #10622557C22semidirect
159. #10622553C22semidirect
160. #10622546C22semidirect
161. #10622546C22semidirect
162. #10622542C22semidirect
163. #10622288C22semidirect
164. #10622286C22semidirect
165. #10622283C22semidirect
166. #10622282C22semidirect
167. #10622282C22semidirect
168. #10622280C22semidirect
169. #10622273C22semidirect
170. #10622272C22semidirect
171. #10622271C22semidirect
172. #10622271C22semidirect
173. #10622268C22semidirect
174. #10622267C22semidirect
175. #10622266C22semidirect
176. #10622265C22semidirect
177. #10622265C22semidirect
178. #10622265C22semidirect
179. #10622263C22semidirect
180. #10622260C22semidirect
181. #10622260C22semidirect
182. #10622259C22semidirect
183. #10622259C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
575. #2418D11semidirect
1314. C11#36765semidirect

Maximal subgroups

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

subgroupindex
#130769662
#130769132
#130765112
#130765072
#130764852
#130764812
#130762532
#130762482
#130759112
#130759072
#130756282
#130756232
#130754622
#130754592
#130753892
#130753832
#130752852
#130752822
#130744252
#130743542
#130728842
#130728822
#130727412
#130727392
#130724422
#130724342
#130720782
#130713472
#130713142
C2×#106225582
C11×#24182
#3676511