Finite Group Databasebeta

← #14961607

Subgroups — #14961607

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#13076903C211yesmaximal, characteristic, complemented
2#13076458C211yesmaximal, characteristic, complemented
3#13076343C211yesmaximal, characteristic, complemented
4#13076332C211yesmaximal, characteristic, complemented
5#13076289C211yesmaximal, characteristic, complemented
6#13076115C211yesmaximal, characteristic, complemented
7#13075947C211yesmaximal, characteristic, complemented
8#13075848C211yesmaximal, characteristic, complemented
9#13075815C211yesmaximal, characteristic, complemented
10#13075798C211yesmaximal, characteristic, complemented
11#13075587C211yesmaximal, characteristic, complemented
12#13075538C211yesmaximal, characteristic, complemented
13#13075367C211yesmaximal, characteristic, complemented
14#13075328C211yesmaximal, characteristic, complemented
15#13075093C211yesmaximal, characteristic, complemented
16#13075082C211yesmaximal, characteristic, complemented
17#13074962C211yesmaximal, characteristic, complemented
18#13074391C211yesmaximal, characteristic, complemented
19#13074391C211yesmaximal, characteristic, complemented
20#13073180C211yesmaximal, characteristic, complemented
21#13073113C211yesmaximal, characteristic, complemented
22#13072882C211yesmaximal, characteristic, complemented
23#13072762C211yesmaximal, characteristic, complemented
24#13072444C211yesmaximal, characteristic, complemented
25#13072429C211yesmaximal, characteristic, complemented
26#13072362C211yesmaximal, characteristic, complemented
27#13072347C211yesmaximal, characteristic, complemented
28#13071277C211yesmaximal, characteristic, complemented
29#13071277C211yesmaximal, characteristic, complemented
30C2×#10622823C211yesmaximal, characteristic, complemented
31C11×#2847C211yesmaximal, characteristic
32C24×C4×C11C2211yescharacteristic
33C2×C11×#121C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic
36C2×C11×#120C2211yescharacteristic
37C2×C11×#120C2211yescharacteristic
38C22×C22⋊Dic11C2211yescharacteristic
39C22×C22⋊Dic11C2211yescharacteristic
40C2×#66988C2211yescharacteristic, complemented
41C2×D4×Dic11C2211yescharacteristic
42C2×D4×Dic11C2211yescharacteristic
43C2×#66977C2211yescharacteristic
44C2×#66977C2211yescharacteristic
45C2×#66977C2211yescharacteristic
46C22×Dic11⋊C4C2211yescharacteristic
47C22×Dic11⋊C4C2211yescharacteristic
48C2×#66942C2211yescharacteristic, complemented
49C2×#66932C2211yescharacteristic, complemented
50C2×#66931C2211yescharacteristic, complemented
51C11×#386C2211yescharacteristic
52C11×#386C2211yescharacteristic
53C11×#386C2211yescharacteristic
54C11×#386C2211yescharacteristic
55C11×#386C2211yescharacteristic
56C11×#386C2211yescharacteristic
57C11×#380C2211yescharacteristic
58C11×#380C2211yescharacteristic
59C11×#380C2211yescharacteristic
60#10622860C2211yescharacteristic
61#10622860C2211yescharacteristic
62#10622835C2211yescharacteristic
63#10622835C2211yescharacteristic
64#10622835C2211yescharacteristic
65#10622835C2211yescharacteristic
66#10622835C2211yescharacteristic
67#10622835C2211yescharacteristic
68#10622835C2211yescharacteristic
69#10622835C2211yescharacteristic
70#10622835C2211yescharacteristic, complemented
71#10622835C2211yescharacteristic, complemented
72#10622834C2211yescharacteristic
73#10622834C2211yescharacteristic
74#10622834C2211yescharacteristic
75#10622834C2211yescharacteristic
76#10622833C2211yescharacteristic
77#10622833C2211yescharacteristic
78#10622833C2211yescharacteristic
79#10622833C2211yescharacteristic
80#10622833C2211yescharacteristic
81#10622833C2211yescharacteristic
82#10622833C2211yescharacteristic
83#10622833C2211yescharacteristic
84#10622833C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622833C2211yescharacteristic, complemented
87#10622825C2211yescharacteristic
88#10622825C2211yescharacteristic
89#10622825C2211yescharacteristic
90#10622823C2211yescharacteristic
91#10622823C2211yescharacteristic
92#10622823C2211yescharacteristic
93#10622823C2211yescharacteristic
94#10622823C2211yescharacteristic
95#10622823C2211yescharacteristic
96#10622823C2211yescharacteristic
97#10622823C2211yescharacteristic
98#10622823C2211yescharacteristic
99#10622823C2211yescharacteristic
100#10622823C2211yescharacteristic
101#10622823C2211yescharacteristic
102#10622823C2211yescharacteristic
103#10622823C2211yescharacteristic
104C2×C11⋊#95C2211yescharacteristic
105C2×C11⋊#95C2211yescharacteristic
106#10622599C2211yescharacteristic, complemented
107#10622597C2211yescharacteristic, complemented
108#10622596C2211yescharacteristic, complemented
109#10622596C2211yescharacteristic, complemented
110#10622595C2211yescharacteristic, complemented
111#10622594C2211yescharacteristic, complemented
112#10622593C2211yescharacteristic, complemented
113#10622591C2211yescharacteristic, complemented
114#10622591C2211yescharacteristic, complemented
115#10622591C2211yescharacteristic, complemented
116#10622585C2211yescharacteristic, complemented
117#10622566C2211yescharacteristic, complemented
118#10622566C2211yescharacteristic, complemented
119#10622565C2211yescharacteristic
120#10622565C2211yescharacteristic
121#10622565C2211yescharacteristic
122#10622565C2211yescharacteristic
123#10622565C2211yescharacteristic
124#10622565C2211yescharacteristic
125#10622565C2211yescharacteristic
126#10622565C2211yescharacteristic
127#10622565C2211yescharacteristic, complemented
128#10622565C2211yescharacteristic, complemented
129#10622565C2211yescharacteristic, complemented
130#10622565C2211yescharacteristic, complemented
131#10622564C2211yescharacteristic
132#10622564C2211yescharacteristic
133#10622564C2211yescharacteristic
134#10622564C2211yescharacteristic
135#10622564C2211yescharacteristic
136#10622564C2211yescharacteristic
137#10622564C2211yescharacteristic
138#10622564C2211yescharacteristic
139#10622564C2211yescharacteristic, complemented
140#10622563C2211yescharacteristic
141#10622563C2211yescharacteristic
142#10622563C2211yescharacteristic, complemented
143#10622562C2211yescharacteristic, complemented
144#10622562C2211yescharacteristic, complemented
145#10622561C2211yescharacteristic, complemented
146#10622561C2211yescharacteristic, complemented
147#10622561C2211yescharacteristic, complemented
148#10622560C2211yescharacteristic, complemented
149#10622559C2211yescharacteristic
150#10622559C2211yescharacteristic
151#10622559C2211yescharacteristic
152#10622559C2211yescharacteristic
153#10622559C2211yescharacteristic, complemented
154#10622559C2211yescharacteristic, complemented
155#10622558C2211yescharacteristic, complemented
156#10622557C2211yescharacteristic, complemented
157#10622557C2211yescharacteristic, complemented
158#10622557C2211yescharacteristic, complemented
159#10622556C2211yescharacteristic, complemented
160#10622555C2211yescharacteristic, complemented
161C22⋊C4×Dic11C2211yescharacteristic
162C22⋊C4×Dic11C2211yescharacteristic
163C11⋊#401C2211yescharacteristic, complemented
164#10622274C2211yescharacteristic, complemented
165#10622273C2211yescharacteristic, complemented
166#10622273C2211yescharacteristic, complemented
167#10622272C2211yescharacteristic, complemented
168#10622272C2211yescharacteristic, complemented
169#10622271C2211yescharacteristic, complemented
170#10622271C2211yescharacteristic, complemented
171#10622271C2211yescharacteristic, complemented
172#10622270C2211yescharacteristic, complemented
173#10622270C2211yescharacteristic, complemented
174#10622269C2211yescharacteristic, complemented
175#10622268C2211yescharacteristic, complemented
176#10622268C2211yescharacteristic, complemented
177#10622267C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, 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×C11—42no—
196C23×C4×C11—42no—
197C23×C4×C11—42no—
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C11×#121—42no—
212C11×#121—42no—
213C11×#121—42no—
214C11×#120—24no—
215C11×#120—24no—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊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×C22⋊Dic11—24no—
232C2×C22⋊Dic11—42no—
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×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
267#66988—42no—
268D4×Dic11—42no—
269D4×Dic11—42no—
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—
280#66977—42no—
281#66977—42no—
282C2×Dic11⋊C4—42no—
283C2×Dic11⋊C4—42no—
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×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312#66942—42no—
313#66932—42no—
314#66931—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#36757—111nomaximal, Sylow
364C24×C11—22no—
365C24×C11—22no—
366C24×C11—41no—
367C24×C11—41no—
368C24×C11—41no—
369C24×C11—41no—
370C24×C11#4114yes—
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C24×C11C2411yescharacteristic
375C24×C11C2411yescharacteristic
376C2×D4×C11—22no—
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—22no—
385C2×D4×C11—22no—
386C2×D4×C11—22no—
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—
397C22×C4×C11—22no—
398C22×C4×C11—22no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11—41no—
415C22×C4×C11—416no—
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×Dic11—22no—
427C22×Dic11—22no—
428C22×Dic11—22no—
429C22×Dic11—22no—
430C22×Dic11—41no—
431C22×Dic11—41no—
432C22×Dic11—41no—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11—41no—
441C22×Dic11—41no—
442C22×Dic11—41no—
443C22×Dic11—41no—
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
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
460C2×Dic22—22no—
461C2×Dic22—41no—
462C2×Dic22—41no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—41no—
465C11×C4⋊C4—41no—
466C11×C22⋊C4—22no—
467C11×C22⋊C4—22no—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—22no—
470C11×C22⋊C4—22no—
471C11×C22⋊C4—22no—
472C11×C22⋊C4—22no—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4—41no—
477C11×C22⋊C4—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—41no—
487C22⋊Dic11—41no—
488C22⋊Dic11—41no—
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—
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—
512C4⋊Dic11—22no—
513C4⋊Dic11—41no—
514C4⋊Dic11—41no—
515C4⋊Dic11—41no—
516C4⋊Dic11—41no—
517C4⋊Dic11—41no—
518C4⋊Dic11—41no—
519C4⋊Dic11—41no—
520C4⋊Dic11—41no—
521Dic11⋊C4—22no—
522Dic11⋊C4—22no—
523Dic11⋊C4—22no—
524Dic11⋊C4—22no—
525Dic11⋊C4—22no—
526Dic11⋊C4—22no—
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—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543C4×Dic11—41no—
544C4×Dic11—41no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549#2848—111no—
550#2847D1111yescharacteristic
551#2796—111no—
552#2787—111no—
553#2786—111no—
554#2782—111no—
555#2770—111no—
556#2757—111no—
557#2750—111no—
558#2747—111no—
559#2746—111no—
560#2728—111no—
561#2723—111no—
562#2711—111no—
563#2708—111no—
564#2691—111no—
565#2690—111no—
566#2681—111no—
567#2622—111no—
568#2622—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×#385—111no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—28no—
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—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—44no—
612C23×C11—44no—
613C23×C11—44no—
614C23×C11—44no—
615C23×C11—44no—
616C23×C11—44no—
617C23×C11C2×#4112yes—
618C23×C11C2×#4112yes—
619C23×C11C2×#4112yes—
620C23×C11H(5,𝔽2)12yes—
621C23×C112−1+412yes—
622C23×C11C2511yescharacteristic
623D4×C11—44no—
624D4×C11—44no—
625D4×C11—82no—
626D4×C11—82no—
627D4×C11—82no—
628D4×C11—82no—
629D4×C11—82no—
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—44no—
659C2×C4×C11—44no—
660C2×C4×C11—44no—
661C2×C4×C11—44no—
662C2×C4×C11—44no—
663C2×C4×C11—44no—
664C2×C4×C11H(5,𝔽2)12yes—
665C2×C4×C11H(5,𝔽2)12yes—
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—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—44no—
715C2×Dic11—44no—
716C2×Dic11—82no—
717C2×Dic11—82no—
718C2×Dic11—82no—
719C2×Dic11—82no—
720Dic22—82no—
721C24×C4C2×D1111yescharacteristic
722C2×#126—111no—
723C2×#125—111no—
724C2×#123—111no—
725C2×C22⋊Q8—111no—
726C2×C22⋊Q8—111no—
727C2×C22⋊Q8—111no—
728C2×C22⋊Q8—111no—
729C2×#121C2×D1111yescharacteristic
730C2×#121C2×D1111yescharacteristic
731C2×#121C2×D1111yescharacteristic
732C2×#120C2×D1111yescharacteristic
733C2×#120C2×D1111yescharacteristic
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#400—111no—
748#400—111no—
749#400—111no—
750#399—111no—
751#399—111no—
752#398—111no—
753#398—111no—
754#398—111no—
755#398—111no—
756#398—111no—
757#398—111no—
758#398—111no—
759#397—111no—
760#397—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#397—111no—
770#397—111no—
771#397—111no—
772#397—111no—
773#396—111no—
774#396—111no—
775#396—111no—
776#395—111no—
777#394—111no—
778#394—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#393—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#388—111no—
808#388—111no—
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#387—111no—
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#386C2×D1111yescharacteristic
832#386C2×D1111yescharacteristic
833#386C2×D1111yescharacteristic
834#386C2×D1111yescharacteristic
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#385—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385—111no—
858#385—111no—
859#385—111no—
860#383—111no—
861#382—111no—
862#381—111no—
863#380—111no—
864#380—111no—
865#380—111no—
866#380—111no—
867#380C2×D1111yescharacteristic
868#380C2×D1111yescharacteristic
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—22no—
880C22×C11—22no—
881C22×C11—22no—
882C22×C11—22no—
883C22×C11—22no—
884C22×C11—22no—
885C22×C11—22no—
886C22×C11—22no—
887C22×C11—22no—
888C22×C11—416no—
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—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#53914yes—
912C22×C11C22×#4111yescharacteristic
913C22×C11C2×H(5,𝔽2)11yescharacteristic
914C22×C11C2×H(5,𝔽2)11yescharacteristic
915C22×C11C2×H(5,𝔽2)11yescharacteristic
916C22×C11C2×2−1+411yescharacteristic
917C22×C11#58511yescharacteristic
918C22×C11#58511yescharacteristic
919C4×C11—22no—
920C4×C11—22no—
921C4×C11—41no—
922C4×C11—41no—
923C4×C11—41no—
924C4×C11—41no—
925C4×C11—41no—
926C4×C11—41no—
927C4×C11—41no—
928C4×C11—41no—
929Dic11—41no—
930Dic11—41no—
931Dic11—41no—
932Dic11—41no—
933Dic11—41no—
934Dic11—41no—
935Dic11—41no—
936Dic11—41no—
937Dic11—41no—
938Dic11—41no—
939Dic11—41no—
940Dic11—41no—
941Dic11—41no—
942Dic11—41no—
943Dic11—41no—
944Dic11—41no—
945C25C22×D1111yescharacteristic
946C22×Q8—111no—
947C22×D4C22×D1111yescharacteristic
948C22×D4C22×D1111yescharacteristic
949C22×D4C22×D1111yescharacteristic
950C22×D4C22×D1111yescharacteristic
951C22×D4C22×D1111yescharacteristic
952C22×D4C22×D1111yescharacteristic
953C22×D4C22×D1111yescharacteristic
954C23×C4—42no—
955C23×C4—42no—
956C23×C4—42no—
957C23×C4—111no—
958C23×C4—111no—
959C23×C4—111no—
960C23×C4—111no—
961C23×C4—111no—
962C23×C4—111no—
963C23×C4C22×D1111yescharacteristic
964C23×C4C22×D1111yescharacteristic
965C23×C4C22×D1111yescharacteristic
966C23×C4C22×D1111yescharacteristic
967C23×C4C22×D1111yescharacteristic
968C23×C4C22×D1111yescharacteristic
969#126—442no—
970#125—442no—
971#123—442no—
972C22⋊Q8—442no—
973C22⋊Q8—442no—
974C22⋊Q8—442no—
975C22⋊Q8—442no—
976#121—42no—
977#121—42no—
978#121—42no—
979#120—24no—
980#120—24no—
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—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—442no—
1015C2×C4⋊C4—442no—
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—224no—
1054C2×C22⋊C4—442no—
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×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×C42—111no—
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#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95C22×D1111yescharacteristic
1116#95C22×D1111yescharacteristic
1117#95C22×D1111yescharacteristic
1118#95C22×D1111yescharacteristic
1119#95C22×D1111yescharacteristic
1120#95C22×D1111yescharacteristic
1121C2×C11—24no—
1122C2×C11—42no—
1123C2×C11—42no—
1124C2×C11—81no—
1125C2×C11—81no—
1126C2×C11C2×#53911yescharacteristic
1127C2×C11#350511yescharacteristic
1128C2×C11#350511yescharacteristic
1129C2×C11#353211yescharacteristic
1130C2×C11#353311yescharacteristic
1131C2×C11#354111yescharacteristic
1132C2×C11#354111yescharacteristic
1133C24—22no—
1134C24—22no—
1135C24—41no—
1136C24—41no—
1137C24—41no—
1138C24—41no—
1139C24#434114yes—
1140C24C23×D1111yescharacteristic
1141C24C23×D1111yescharacteristic
1142C24C23×D1111yescharacteristic
1143C24C23×D1111yescharacteristic
1144C24C23×D1111yescharacteristic
1145C2×Q8—222no—
1146C2×Q8—441no—
1147C2×Q8—441no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—416no—
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—111no—
1198C22×C4—111no—
1199C22×C4—111no—
1200C22×C4—111no—
1201C22×C4—111no—
1202C22×C4—111no—
1203C22×C4—111no—
1204C22×C4—222no—
1205C22×C4—222no—
1206C22×C4—222no—
1207C22×C4—222no—
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—441no—
1218C22×C4—441no—
1219C22×C4—441no—
1220C22×C4—441no—
1221C22×C4—441no—
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—222no—
1236C4⋊C4—222no—
1237C4⋊C4—222no—
1238C4⋊C4—222no—
1239C4⋊C4—222no—
1240C4⋊C4—222no—
1241C4⋊C4—222no—
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—
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—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
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—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—
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—441no—
1313C42—441no—
1314C42—441no—
1315C42—441no—
1316C42—441no—
1317C42—441no—
1318C11#3675711yescharacteristic, complemented, Sylow
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—28no—
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—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23—44no—
1356C23C2×#434112yes—
1357C23C2×#434112yes—
1358C23C2×#434112yes—
1359C23#6703712yes—
1360C23#6704312yes—
1361C23C24×D1111yescharacteristic
1362Q8—882no—
1363D4—44no—
1364D4—44no—
1365D4—82no—
1366D4—82no—
1367D4—82no—
1368D4—82no—
1369D4—82no—
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—44no—
1399C2×C4—44no—
1400C2×C4—44no—
1401C2×C4—44no—
1402C2×C4—44no—
1403C2×C4—44no—
1404C2×C4—221no—
1405C2×C4—221no—
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—221no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—444no—
1453C2×C4—444no—
1454C2×C4—882no—
1455C2×C4—882no—
1456C2×C4—882no—
1457C2×C4—882no—
1458C2×C4#6703712yes—
1459C2×C4#6703712yes—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—416no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22#1062313314yes—
1496C22C22×#434111yescharacteristic
1497C22C2×#6703711yescharacteristic
1498C22C2×#6703711yescharacteristic
1499C22C2×#6703711yescharacteristic
1500C22C2×#6704311yescharacteristic
1501C22#1062345311yescharacteristic
1502C22#1062345311yescharacteristic
1503C4—22no—
1504C4—22no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—441no—
1514C4—441no—
1515C4—441no—
1516C4—441no—
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—24no—
1530C2—42no—
1531C2—42no—
1532C2—81no—
1533C2—81no—
1534C2C2×#1062313311yescharacteristic
1535C2#1308245011yescharacteristic
1536C2#1308245011yescharacteristic
1537C2#1308277111yescharacteristic
1538C2#1308278011yescharacteristic
1539C2#1308290111yescharacteristic
1540C2#1308290911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
Fitting, prime radicalC11×#2847C2
hypercenter#2847D11
hypocenterC11#36757
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. #13076903C2semidirect
2. #13076458C2semidirect
3. #13076343C2semidirect
4. #13076332C2semidirect
5. #13076289C2semidirect
6. #13076115C2semidirect
7. #13075947C2semidirect
8. #13075848C2semidirect
9. #13075815C2semidirect
10. #13075798C2semidirect
11. #13075587C2semidirect
12. #13075538C2semidirect
13. #13075367C2semidirect
14. #13075328C2semidirect
15. #13075093C2semidirect
16. #13075082C2semidirect
17. #13074962C2semidirect
18. #13074391C2semidirect
19. #13074391C2semidirect
20. #13073180C2semidirect
21. #13073113C2semidirect
22. #13072882C2semidirect
23. #13072762C2semidirect
24. #13072444C2semidirect
25. #13072429C2semidirect
26. #13072362C2semidirect
27. #13072347C2semidirect
28. #13071277C2semidirect
29. #13071277C2semidirect
30. C2×#10622823C2semidirect
40. C2×#66988C22semidirect
48. C2×#66942C22semidirect
49. C2×#66932C22semidirect
50. C2×#66931C22semidirect
70. #10622835C22semidirect
71. #10622835C22semidirect
86. #10622833C22semidirect
106. #10622599C22semidirect
107. #10622597C22semidirect
108. #10622596C22semidirect
109. #10622596C22semidirect
110. #10622595C22semidirect
111. #10622594C22semidirect
112. #10622593C22semidirect
113. #10622591C22semidirect
114. #10622591C22semidirect
115. #10622591C22semidirect
116. #10622585C22semidirect
117. #10622566C22semidirect
118. #10622566C22semidirect
127. #10622565C22semidirect
128. #10622565C22semidirect
129. #10622565C22semidirect
130. #10622565C22semidirect
139. #10622564C22semidirect
142. #10622563C22semidirect
143. #10622562C22semidirect
144. #10622562C22semidirect
145. #10622561C22semidirect
146. #10622561C22semidirect
147. #10622561C22semidirect
148. #10622560C22semidirect
153. #10622559C22semidirect
154. #10622559C22semidirect
155. #10622558C22semidirect
156. #10622557C22semidirect
157. #10622557C22semidirect
158. #10622557C22semidirect
159. #10622556C22semidirect
160. #10622555C22semidirect
163. C11⋊#401C22semidirect
164. #10622274C22semidirect
165. #10622273C22semidirect
166. #10622273C22semidirect
167. #10622272C22semidirect
168. #10622272C22semidirect
169. #10622271C22semidirect
170. #10622271C22semidirect
171. #10622271C22semidirect
172. #10622270C22semidirect
173. #10622270C22semidirect
174. #10622269C22semidirect
175. #10622268C22semidirect
176. #10622268C22semidirect
177. #10622267C22semidirect
178. #10622266C22semidirect
179. #10622266C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622263C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
1318. C11#36757semidirect

Maximal subgroups

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

subgroupindex
#130769032
#130764582
#130763432
#130763322
#130762892
#130761152
#130759472
#130758482
#130758152
#130757982
#130755872
#130755382
#130753672
#130753282
#130750932
#130750822
#130749622
#130743912
#130731802
#130731132
#130728822
#130727622
#130724442
#130724292
#130723622
#130723472
#130712772
C2×#106228232
C11×#28472
#3675711