Finite Group Databasebeta

← #14962687

Subgroups — #14962687

Order 2816.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076933C211yesmaximal, characteristic, complemented
2#13076915C211yesmaximal, characteristic, complemented
3#13076595C211yesmaximal, characteristic, complemented
4#13076556C211yesmaximal, characteristic, complemented
5#13076545C211yesmaximal, characteristic, complemented
6#13076329C211yesmaximal, characteristic, complemented
7#13076277C211yesmaximal, characteristic, complemented
8#13076254C211yesmaximal, characteristic, complemented
9#13076237C211yesmaximal, characteristic, complemented
10#13076188C211yesmaximal, characteristic, complemented
11#13075981C211yesmaximal, characteristic, complemented
12#13075943C211yesmaximal, characteristic, complemented
13#13075940C211yesmaximal, characteristic, complemented
14#13075869C211yesmaximal, characteristic, complemented
15#13075644C211yesmaximal, characteristic, complemented
16#13075433C211yesmaximal, characteristic, complemented
17#13075406C211yesmaximal, characteristic, complemented
18#13075018C211yesmaximal, characteristic, complemented
19#13074391C211yesmaximal, characteristic, complemented
20#13074354C211yesmaximal, characteristic, complemented
21#13073178C211yesmaximal, characteristic, complemented
22#13072736C211yesmaximal, characteristic, complemented
23#13072360C211yesmaximal, characteristic, complemented
24#13072296C211yesmaximal, characteristic, complemented
25#13072222C211yesmaximal, characteristic, complemented
26#13071997C211yesmaximal, characteristic, complemented
27#13071932C211yesmaximal, characteristic, complemented
28#13071281C211yesmaximal, characteristic, complemented
29#13071203C211yesmaximal, characteristic, complemented
30C2×#10622557C211yesmaximal, characteristic, complemented
31C11×#2424C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C2×C11×#121C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×C11×#120C2211yescharacteristic
36C2×C11×#120C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic
38C22×C11×C22⋊C4C2211yescharacteristic
39C2×#67006C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C22×C22⋊Dic11C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66989C2211yescharacteristic, complemented
44C2×#66988C2211yescharacteristic
45C2×#66977C2211yescharacteristic
46C22×Dic11⋊C4C2211yescharacteristic
47C22×C4×Dic11C2211yescharacteristic
48C2×#66951C2211yescharacteristic, complemented
49C2×#66938C2211yescharacteristic
50C2×#66930C2211yescharacteristic
51C11×#396C2211yescharacteristic
52C11×#394C2211yescharacteristic
53C11×#394C2211yescharacteristic
54C11×#392C2211yescharacteristic
55C11×#390C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#386C2211yescharacteristic
58C11×#386C2211yescharacteristic
59C11×#385C2211yescharacteristic
60#10622860C2211yescharacteristic
61#10622836C2211yescharacteristic
62#10622836C2211yescharacteristic
63#10622836C2211yescharacteristic
64#10622836C2211yescharacteristic
65#10622836C2211yescharacteristic, complemented
66#10622835C2211yescharacteristic
67#10622835C2211yescharacteristic
68#10622835C2211yescharacteristic
69#10622835C2211yescharacteristic
70#10622835C2211yescharacteristic
71#10622835C2211yescharacteristic
72#10622835C2211yescharacteristic
73#10622835C2211yescharacteristic
74#10622834C2211yescharacteristic
75#10622834C2211yescharacteristic
76#10622834C2211yescharacteristic, complemented
77#10622833C2211yescharacteristic
78#10622833C2211yescharacteristic
79#10622833C2211yescharacteristic
80#10622833C2211yescharacteristic
81#10622833C2211yescharacteristic
82#10622833C2211yescharacteristic
83#10622833C2211yescharacteristic
84#10622833C2211yescharacteristic, complemented
85#10622826C2211yescharacteristic
86#10622826C2211yescharacteristic
87#10622826C2211yescharacteristic, complemented
88#10622824C2211yescharacteristic, complemented
89#10622823C2211yescharacteristic, complemented
90#10622823C2211yescharacteristic, complemented
91C4×C22⋊Dic11C2211yescharacteristic
92C2×C11⋊#95C2211yescharacteristic
93C2×C11⋊#95C2211yescharacteristic
94#10622606C2211yescharacteristic, complemented
95#10622603C2211yescharacteristic, complemented
96#10622602C2211yescharacteristic, complemented
97#10622595C2211yescharacteristic, complemented
98#10622594C2211yescharacteristic, complemented
99#10622594C2211yescharacteristic, complemented
100#10622593C2211yescharacteristic, complemented
101#10622592C2211yescharacteristic, complemented
102#10622592C2211yescharacteristic, complemented
103#10622591C2211yescharacteristic, complemented
104#10622590C2211yescharacteristic, complemented
105#10622587C2211yescharacteristic, complemented
106#10622585C2211yescharacteristic, complemented
107#10622585C2211yescharacteristic, complemented
108#10622585C2211yescharacteristic, complemented
109#10622574C2211yescharacteristic
110#10622572C2211yescharacteristic
111#10622572C2211yescharacteristic
112#10622572C2211yescharacteristic
113#10622572C2211yescharacteristic, complemented
114#10622572C2211yescharacteristic, complemented
115#10622571C2211yescharacteristic
116#10622571C2211yescharacteristic
117#10622570C2211yescharacteristic
118#10622570C2211yescharacteristic, complemented
119#10622570C2211yescharacteristic, complemented
120#10622569C2211yescharacteristic
121#10622569C2211yescharacteristic
122#10622569C2211yescharacteristic, complemented
123#10622566C2211yescharacteristic, complemented
124#10622565C2211yescharacteristic
125#10622565C2211yescharacteristic
126#10622565C2211yescharacteristic
127#10622565C2211yescharacteristic
128#10622565C2211yescharacteristic
129#10622565C2211yescharacteristic
130#10622565C2211yescharacteristic
131#10622565C2211yescharacteristic, complemented
132#10622565C2211yescharacteristic, complemented
133#10622564C2211yescharacteristic
134#10622564C2211yescharacteristic, complemented
135#10622563C2211yescharacteristic
136#10622561C2211yescharacteristic
137#10622561C2211yescharacteristic
138#10622560C2211yescharacteristic
139#10622560C2211yescharacteristic
140#10622560C2211yescharacteristic
141#10622560C2211yescharacteristic, complemented
142#10622559C2211yescharacteristic
143#10622559C2211yescharacteristic
144#10622559C2211yescharacteristic, complemented
145#10622558C2211yescharacteristic, complemented
146#10622558C2211yescharacteristic, complemented
147#10622558C2211yescharacteristic, complemented
148#10622558C2211yescharacteristic, complemented
149#10622558C2211yescharacteristic, complemented
150#10622558C2211yescharacteristic, complemented
151#10622557C2211yescharacteristic
152#10622557C2211yescharacteristic
153#10622557C2211yescharacteristic
154#10622557C2211yescharacteristic
155#10622557C2211yescharacteristic
156#10622557C2211yescharacteristic
157#10622557C2211yescharacteristic
158#10622557C2211yescharacteristic
159#10622557C2211yescharacteristic
160#10622557C2211yescharacteristic
161#10622557C2211yescharacteristic
162#10622557C2211yescharacteristic, complemented
163#10622556C2211yescharacteristic
164#10622555C2211yescharacteristic
165#10622555C2211yescharacteristic, complemented
166#10622555C2211yescharacteristic, complemented
167#10622553C2211yescharacteristic, complemented
168#10622546C2211yescharacteristic, complemented
169#10622546C2211yescharacteristic, complemented
170#10622546C2211yescharacteristic, complemented
171#10622283C2211yescharacteristic, complemented
172#10622282C2211yescharacteristic, complemented
173#10622280C2211yescharacteristic, complemented
174#10622280C2211yescharacteristic, complemented
175C11⋊#401C2211yescharacteristic, complemented
176#10622272C2211yescharacteristic, complemented
177#10622271C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C2×#4341—24no—
209C2×#4341—42no—
210C2×#4341—42no—
211C22×C4×D11C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C11×#121—42no—
215C11×#121—42no—
216C11×#120—42no—
217C11×#120—42no—
218C4×D4×C11—42no—
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4—42no—
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×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240#67006—42no—
241C2×C22⋊Dic11—24no—
242C2×C22⋊Dic11—42no—
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
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273#66992—42no—
274#66989—42no—
275#66988—24no—
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288#66977—42no—
289C2×Dic11⋊C4—42no—
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×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×C4×Dic11—42no—
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316#66951—42no—
317#66938—42no—
318#66930—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#36795—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
375C24×C11C2411yescharacteristic
376C23×D11C2411yescharacteristic
377C2×D4×C11—22no—
378C2×D4×C11—22no—
379C2×D4×C11—22no—
380C2×D4×C11—22no—
381C2×D4×C11—22no—
382C2×D4×C11—22no—
383C2×D4×C11—22no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C2×D4×C11—41no—
387C2×D4×C11—41no—
388C2×D4×C11—41no—
389C2×D4×C11—41no—
390C2×D4×C11—41no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C2×D4×C11—41no—
396C2×D4×C11—41no—
397C2×D4×C11—41no—
398C22×C4×C11—22no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—22no—
435C22×Dic11—22no—
436C22×Dic11—22no—
437C22×Dic11—22no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11—41no—
441C22×Dic11—41no—
442C22×Dic11—41no—
443C22×Dic11—41no—
444C22×Dic11—41no—
445C22×Dic11—41no—
446C22×Dic11#4114yes—
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462#4341—416no—
463C2×C4×D11—22no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×Dic22—22no—
467C2×Dic22—22no—
468C2×Dic22—41no—
469C2×Dic22—41no—
470C2×Dic22—41no—
471C2×Dic22—41no—
472C11×C4⋊C4—22no—
473C11×C4⋊C4—41no—
474C11×C4⋊C4—41no—
475C11×C4⋊C4—41no—
476C11×C22⋊C4—22no—
477C11×C22⋊C4—22no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—22no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4—41no—
484C11×C22⋊C4—41no—
485C11×C22⋊C4—41no—
486C11×C22⋊C4—41no—
487C11×C22⋊C4—41no—
488C11×C22⋊C4—41no—
489C11×C22⋊C4—41no—
490C11×C22⋊C4—41no—
491C42×C11—41no—
492C22⋊Dic11—22no—
493C22⋊Dic11—22no—
494C22⋊Dic11—22no—
495C22⋊Dic11—22no—
496C22⋊Dic11—22no—
497C22⋊Dic11—22no—
498C22⋊Dic11—22no—
499C22⋊Dic11—22no—
500C22⋊Dic11—22no—
501C22⋊Dic11—41no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
505C22⋊Dic11—41no—
506C22⋊Dic11—41no—
507C22⋊Dic11—41no—
508C22⋊Dic11—41no—
509C22⋊Dic11—41no—
510C22⋊Dic11—41no—
511C22⋊Dic11—41no—
512C22⋊Dic11—41no—
513C22⋊Dic11—41no—
514C22⋊Dic11—41no—
515C22⋊Dic11—41no—
516C22⋊Dic11—41no—
517C22⋊Dic11—41no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521C22⋊Dic11—41no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531C4⋊Dic11—41no—
532C4⋊Dic11—41no—
533C4⋊Dic11—41no—
534Dic11⋊C4—22no—
535Dic11⋊C4—22no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549Dic11⋊C4—41no—
550Dic11⋊C4—41no—
551C4×Dic11—22no—
552C4×Dic11—22no—
553C4×Dic11—41no—
554C4×Dic11—41no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559#2852—111no—
560#2850—111no—
561#2808—111no—
562#2803—111no—
563#2803—111no—
564#2786—111no—
565#2781—111no—
566#2779—111no—
567#2778—111no—
568#2775—111no—
569#2759—111no—
570#2756—111no—
571#2756—111no—
572#2751—111no—
573#2733—111no—
574#2715—111no—
575#2714—111no—
576#2686—111no—
577#2622—111no—
578#2617—111no—
579#2510—111no—
580#2472—111no—
581#2444—111no—
582#2438—111no—
583#2430—111no—
584#2424D1111yescharacteristic, complemented
585#2411—111no—
586#2404—111no—
587#2322—111no—
588#2311—111no—
589C2×#388—111no—
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—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—44no—
623C23×C11—44no—
624C23×C11—44no—
625C23×C11—82no—
626C23×C11—82no—
627C23×C11—82no—
628C23×C11—82no—
629C23×C11C2×#4112yes—
630C23×C11H(5,𝔽2)12yes—
631C23×C11H(5,𝔽2)12yes—
632C23×C11C2511yescharacteristic
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640D4×C11—44no—
641D4×C11—44no—
642D4×C11—82no—
643D4×C11—82no—
644D4×C11—82no—
645D4×C11—82no—
646D4×C11—82no—
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—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—44no—
677C2×C4×C11—82no—
678C2×C4×C11—82no—
679C2×C4×C11H(5,𝔽2)12yes—
680C22⋊D11—44no—
681C22⋊D11—44no—
682C22⋊D11—82no—
683C22⋊D11—82no—
684C22⋊D11—82no—
685C2×Dic11—28no—
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—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—44no—
730C2×Dic11—44no—
731C2×Dic11—44no—
732C2×Dic11—82no—
733C2×Dic11C2×#4112yes—
734C2×Dic11C2×#4112yes—
735C4×D11—44no—
736Dic22—44no—
737Dic22—82no—
738C22×#41—111no—
739C2×#126—111no—
740C2×#124—111no—
741C2×#124—111no—
742C2×#123—111no—
743C2×C22⋊Q8—111no—
744C2×#121—111no—
745C2×#121C2×D1111yescharacteristic
746C2×#121C2×D1111yescharacteristic
747C2×#120—111no—
748C2×#120C2×D1111yescharacteristic
749C2×#120C2×D1111yescharacteristic
750C2×C4×D4C2×D1111yescharacteristic
751C2×#117—111no—
752C22×C4⋊C4—111no—
753C22×C22⋊C4—111no—
754C22×C22⋊C4—111no—
755C22×C22⋊C4C2×D1111yescharacteristic
756C22×C42—111no—
757#401—111no—
758#400—111no—
759#400—111no—
760#400—111no—
761#398—111no—
762#398—111no—
763#397—111no—
764#397—111no—
765#397—111no—
766#397—111no—
767#397—111no—
768#397—111no—
769#397—111no—
770#397—111no—
771#397—111no—
772#397—111no—
773#397—111no—
774#396—111no—
775#396—111no—
776#396C2×D1111yescharacteristic
777#395—111no—
778#395—111no—
779#394—111no—
780#394—111no—
781#394—111no—
782#394—111no—
783#394—111no—
784#394—111no—
785#394—111no—
786#394—111no—
787#394—111no—
788#394—111no—
789#394—111no—
790#394—111no—
791#394—111no—
792#394—111no—
793#394C2×D1111yescharacteristic
794#394C2×D1111yescharacteristic
795#393—111no—
796#393—111no—
797#393—111no—
798#393—111no—
799#392—111no—
800#392—111no—
801#392—111no—
802#392—111no—
803#392—111no—
804#392C2×D1111yescharacteristic
805#391—111no—
806#391—111no—
807#391—111no—
808#391—111no—
809#390—111no—
810#390—111no—
811#390—111no—
812#390—111no—
813#390—111no—
814#390—111no—
815#390C2×D1111yescharacteristic
816#389—111no—
817#389—111no—
818#389—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#388—111no—
824#388—111no—
825#388—111no—
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388—111no—
837#388—111no—
838#388—111no—
839#388—111no—
840#388—111no—
841#388—111no—
842#388—111no—
843#388C2×D1111yescharacteristic
844#387—111no—
845#387—111no—
846#387—111no—
847#387—111no—
848#387—111no—
849#387—111no—
850#387—111no—
851#387—111no—
852#387—111no—
853#386—111no—
854#386—111no—
855#386—111no—
856#386—111no—
857#386—111no—
858#386—111no—
859#386—111no—
860#386—111no—
861#386—111no—
862#386—111no—
863#386—111no—
864#386—111no—
865#386—111no—
866#386—111no—
867#386—111no—
868#386—111no—
869#386C2×D1111yescharacteristic
870#386C2×D1111yescharacteristic
871#385—111no—
872#385—111no—
873#385—111no—
874#385—111no—
875#385—111no—
876#385—111no—
877#385—111no—
878#385C2×D1111yescharacteristic
879#383—111no—
880#383—111no—
881#382—111no—
882#381—111no—
883#381—111no—
884#380—111no—
885#380—111no—
886#380—111no—
887#380—111no—
888#380—111no—
889#379—111no—
890C4×C22⋊C4—111no—
891C2×#95—111no—
892C2×#95—111no—
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—22no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11—41no—
900C22×C11—41no—
901C22×C11—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—88no—
928C22×C11#53814yes—
929C22×C11C22×#4111yescharacteristic
930C22×C11C2×H(5,𝔽2)11yescharacteristic
931C22×C11C2×H(5,𝔽2)11yescharacteristic
932C22×C11C2×H(5,𝔽2)11yescharacteristic
933C22×C11#58511yescharacteristic
934C22×C11#58511yescharacteristic
935C22×C11#58511yescharacteristic
936C2×D11—41no—
937C2×D11—41no—
938C2×D11—41no—
939C2×D11—41no—
940C2×D11—41no—
941C2×D11—41no—
942C2×D11—41no—
943C4×C11—22no—
944C4×C11—41no—
945C4×C11—41no—
946C4×C11—41no—
947C4×C11—41no—
948C4×C11—41no—
949C4×C11—41no—
950C4×C11—41no—
951C4×C11—41no—
952C4×C11—41no—
953Dic11—22no—
954Dic11—22no—
955Dic11—41no—
956Dic11—41no—
957Dic11—41no—
958Dic11—41no—
959Dic11—41no—
960Dic11—41no—
961Dic11—41no—
962Dic11—41no—
963Dic11—41no—
964Dic11—41no—
965Dic11—41no—
966Dic11—41no—
967Dic11—41no—
968C25C22×D1111yescharacteristic
969C2×#41—224no—
970C2×#41—442no—
971C2×#41—442no—
972C22×Q8—111no—
973C22×Q8—111no—
974C22×D4—111no—
975C22×D4—111no—
976C22×D4—111no—
977C22×D4—111no—
978C22×D4—111no—
979C22×D4C22×D1111yescharacteristic
980C22×D4C22×D1111yescharacteristic
981C22×D4C22×D1111yescharacteristic
982C22×D4C22×D1111yescharacteristic
983C22×D4C22×D1111yescharacteristic
984C22×D4C22×D1111yescharacteristic
985C22×D4C22×D1111yescharacteristic
986C23×C4—111no—
987C23×C4—111no—
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4C22×D1111yescharacteristic
993C23×C4C22×D1111yescharacteristic
994C23×C4C22×D1111yescharacteristic
995#126—442no—
996#124—442no—
997#124—442no—
998#123—224no—
999C22⋊Q8—442no—
1000#121—42no—
1001#121—42no—
1002#121—442no—
1003#120—42no—
1004#120—42no—
1005#120—442no—
1006C4×D4—42no—
1007#117—442no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—442no—
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C4⋊C4C22×D1111yescharacteristic
1031C2×C4⋊C4C22×D1111yescharacteristic
1032C2×C4⋊C4C22×D1111yescharacteristic
1033C2×C22⋊C4—42no—
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—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—224no—
1074C2×C22⋊C4—442no—
1075C2×C22⋊C4C22×D1111yescharacteristic
1076C2×C22⋊C4C22×D1111yescharacteristic
1077C2×C22⋊C4C22×D1111yescharacteristic
1078C2×C22⋊C4C22×D1111yescharacteristic
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C22⋊C4C22×D1111yescharacteristic
1081C2×C22⋊C4C22×D1111yescharacteristic
1082C2×C22⋊C4C22×D1111yescharacteristic
1083C2×C22⋊C4C22×D1111yescharacteristic
1084C2×C22⋊C4C22×D1111yescharacteristic
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C22⋊C4C22×D1111yescharacteristic
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—111no—
1096C2×C42—111no—
1097C2×C42—111no—
1098C2×C42—442no—
1099C2×C42C22×D1111yescharacteristic
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#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
1142#95C22×D1111yescharacteristic
1143#95C22×D1111yescharacteristic
1144C2×C11—24no—
1145C2×C11—81no—
1146C2×C11—81no—
1147C2×C11—81no—
1148C2×C11—81no—
1149C2×C11C2×#53811yescharacteristic
1150C2×C11#349311yescharacteristic
1151C2×C11#350611yescharacteristic
1152C2×C11#353411yescharacteristic
1153C2×C11#354211yescharacteristic
1154C2×C11#354511yescharacteristic
1155C2×C11#356011yescharacteristic
1156D11—81no—
1157C24—22no—
1158C24—22no—
1159C24—22no—
1160C24—41no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24—111no—
1165C24C23×D1111yescharacteristic
1166C24C23×D1111yescharacteristic
1167C24C23×D1111yescharacteristic
1168C24C23×D1111yescharacteristic
1169C24C23×D1111yescharacteristic
1170#41—4416no—
1171C2×Q8—222no—
1172C2×Q8—222no—
1173C2×Q8—441no—
1174C2×Q8—441no—
1175C2×Q8—441no—
1176C2×Q8—441no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—222no—
1199C2×D4—222no—
1200C2×D4—222no—
1201C2×D4—222no—
1202C2×D4—441no—
1203C2×D4—441no—
1204C2×D4—441no—
1205C2×D4—441no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4—441no—
1212C2×D4—441no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—114no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—111no—
1233C22×C4—111no—
1234C22×C4—111no—
1235C22×C4—111no—
1236C22×C4—111no—
1237C22×C4—111no—
1238C22×C4—222no—
1239C22×C4—222no—
1240C22×C4—222no—
1241C22×C4—222no—
1242C22×C4—222no—
1243C22×C4—222no—
1244C22×C4—222no—
1245C22×C4—441no—
1246C22×C4—441no—
1247C22×C4—441no—
1248C22×C4—441no—
1249C22×C4—441no—
1250C22×C4—441no—
1251C22×C4—441no—
1252C22×C4—441no—
1253C22×C4—441no—
1254C22×C4—441no—
1255C22×C4C23×D1111yescharacteristic
1256C22×C4C23×D1111yescharacteristic
1257C22×C4C23×D1111yescharacteristic
1258C22×C4C23×D1111yescharacteristic
1259C22×C4C23×D1111yescharacteristic
1260C22×C4C23×D1111yescharacteristic
1261C22×C4C23×D1111yescharacteristic
1262C22×C4C23×D1111yescharacteristic
1263C22×C4C23×D1111yescharacteristic
1264C22×C4C23×D1111yescharacteristic
1265C4⋊C4—22no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—222no—
1270C4⋊C4—222no—
1271C4⋊C4—441no—
1272C4⋊C4—441no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C4⋊C4—441no—
1278C4⋊C4—441no—
1279C4⋊C4—441no—
1280C4⋊C4—441no—
1281C4⋊C4—441no—
1282C4⋊C4—441no—
1283C4⋊C4—441no—
1284C4⋊C4—441no—
1285C4⋊C4—441no—
1286C4⋊C4—441no—
1287C4⋊C4—441no—
1288C4⋊C4—441no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—222no—
1305C22⋊C4—222no—
1306C22⋊C4—222no—
1307C22⋊C4—222no—
1308C22⋊C4—222no—
1309C22⋊C4—222no—
1310C22⋊C4—222no—
1311C22⋊C4—222no—
1312C22⋊C4—222no—
1313C22⋊C4—222no—
1314C22⋊C4—441no—
1315C22⋊C4—441no—
1316C22⋊C4—441no—
1317C22⋊C4—441no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4—441no—
1323C22⋊C4—441no—
1324C22⋊C4—441no—
1325C22⋊C4—441no—
1326C22⋊C4—441no—
1327C22⋊C4—441no—
1328C22⋊C4—441no—
1329C22⋊C4—441no—
1330C22⋊C4—441no—
1331C22⋊C4—441no—
1332C22⋊C4—441no—
1333C22⋊C4—441no—
1334C22⋊C4—441no—
1335C22⋊C4—441no—
1336C22⋊C4—441no—
1337C22⋊C4—441no—
1338C22⋊C4—441no—
1339C22⋊C4—441no—
1340C22⋊C4—441no—
1341C22⋊C4—441no—
1342C22⋊C4—441no—
1343C42—41no—
1344C42—222no—
1345C42—222no—
1346C42—441no—
1347C42—441no—
1348C42—441no—
1349C42—441no—
1350C42—441no—
1351C42—441no—
1352C11#3679511yescharacteristic, complemented, Sylow
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—44no—
1386C23—44no—
1387C23—44no—
1388C23—82no—
1389C23—82no—
1390C23—82no—
1391C23—82no—
1392C23—221no—
1393C23—221no—
1394C23—221no—
1395C23—221no—
1396C23—221no—
1397C23—221no—
1398C23—221no—
1399C23#6703712yes—
1400C23#6703712yes—
1401C23#41×D1112yes—
1402C23C24×D1111yescharacteristic
1403Q8—444no—
1404Q8—882no—
1405D4—44no—
1406D4—44no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—444no—
1413D4—444no—
1414D4—882no—
1415D4—882no—
1416D4—882no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—44no—
1447C2×C4—82no—
1448C2×C4—82no—
1449C2×C4—112no—
1450C2×C4—112no—
1451C2×C4—228no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—444no—
1496C2×C4—444no—
1497C2×C4—444no—
1498C2×C4—444no—
1499C2×C4—882no—
1500C2×C4#6703712yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—88no—
1536C22—441no—
1537C22—441no—
1538C22—441no—
1539C22—441no—
1540C22—441no—
1541C22—441no—
1542C22—441no—
1543C22#1062314414yes—
1544C22C2×#6703711yescharacteristic
1545C22C2×#6703711yescharacteristic
1546C22C2×#6703711yescharacteristic
1547C22C2×#41×D1111yescharacteristic
1548C22#1062345311yescharacteristic
1549C22#1062345511yescharacteristic
1550C22#1062345511yescharacteristic
1551C4—22no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—222no—
1562C4—222no—
1563C4—441no—
1564C4—441no—
1565C4—441no—
1566C4—441no—
1567C4—441no—
1568C4—441no—
1569C4—441no—
1570C4—441no—
1571C4—441no—
1572C4—441no—
1573C4—441no—
1574C4—441no—
1575C4—441no—
1576C2—24no—
1577C2—81no—
1578C2—81no—
1579C2—81no—
1580C2—81no—
1581C2—881no—
1582C2C2×#1062314411yescharacteristic
1583C2#1308233111yescharacteristic
1584C2#1308245911yescharacteristic
1585C2#1308279411yescharacteristic
1586C2#1308293711yescharacteristic
1587C2#1308296311yescharacteristic
1588C2#1308315611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2424C2
hypercenter#2424D11
hypocenterC11#36795
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. #13076933C2semidirect
2. #13076915C2semidirect
3. #13076595C2semidirect
4. #13076556C2semidirect
5. #13076545C2semidirect
6. #13076329C2semidirect
7. #13076277C2semidirect
8. #13076254C2semidirect
9. #13076237C2semidirect
10. #13076188C2semidirect
11. #13075981C2semidirect
12. #13075943C2semidirect
13. #13075940C2semidirect
14. #13075869C2semidirect
15. #13075644C2semidirect
16. #13075433C2semidirect
17. #13075406C2semidirect
18. #13075018C2semidirect
19. #13074391C2semidirect
20. #13074354C2semidirect
21. #13073178C2semidirect
22. #13072736C2semidirect
23. #13072360C2semidirect
24. #13072296C2semidirect
25. #13072222C2semidirect
26. #13071997C2semidirect
27. #13071932C2semidirect
28. #13071281C2semidirect
29. #13071203C2semidirect
30. C2×#10622557C2semidirect
31. C11×#2424C2semidirect
43. C2×#66989C22semidirect
48. C2×#66951C22semidirect
65. #10622836C22semidirect
76. #10622834C22semidirect
84. #10622833C22semidirect
87. #10622826C22semidirect
88. #10622824C22semidirect
89. #10622823C22semidirect
90. #10622823C22semidirect
94. #10622606C22semidirect
95. #10622603C22semidirect
96. #10622602C22semidirect
97. #10622595C22semidirect
98. #10622594C22semidirect
99. #10622594C22semidirect
100. #10622593C22semidirect
101. #10622592C22semidirect
102. #10622592C22semidirect
103. #10622591C22semidirect
104. #10622590C22semidirect
105. #10622587C22semidirect
106. #10622585C22semidirect
107. #10622585C22semidirect
108. #10622585C22semidirect
113. #10622572C22semidirect
114. #10622572C22semidirect
118. #10622570C22semidirect
119. #10622570C22semidirect
122. #10622569C22semidirect
123. #10622566C22semidirect
131. #10622565C22semidirect
132. #10622565C22semidirect
134. #10622564C22semidirect
141. #10622560C22semidirect
144. #10622559C22semidirect
145. #10622558C22semidirect
146. #10622558C22semidirect
147. #10622558C22semidirect
148. #10622558C22semidirect
149. #10622558C22semidirect
150. #10622558C22semidirect
162. #10622557C22semidirect
165. #10622555C22semidirect
166. #10622555C22semidirect
167. #10622553C22semidirect
168. #10622546C22semidirect
169. #10622546C22semidirect
170. #10622546C22semidirect
171. #10622283C22semidirect
172. #10622282C22semidirect
173. #10622280C22semidirect
174. #10622280C22semidirect
175. C11⋊#401C22semidirect
176. #10622272C22semidirect
177. #10622271C22semidirect
178. #10622270C22semidirect
179. #10622268C22semidirect
180. #10622267C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622264C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
584. #2424D11semidirect
1352. C11#36795semidirect

Maximal subgroups

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

subgroupindex
#130769332
#130769152
#130765952
#130765562
#130765452
#130763292
#130762772
#130762542
#130762372
#130761882
#130759812
#130759432
#130759402
#130758692
#130756442
#130754332
#130754062
#130750182
#130743912
#130743542
#130731782
#130727362
#130723602
#130722962
#130722222
#130719972
#130719322
#130712812
#130712032
C2×#106225572
C11×#24242
#3679511