Finite Group Databasebeta

← #14927101

Subgroups — #14927101

Order 2816.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077007C211yesmaximal, characteristic, complemented
2#13077004C211yesmaximal, characteristic, complemented
3#13076937C211yesmaximal, characteristic, complemented
4#13076929C211yesmaximal, characteristic, complemented
5#13074695C211yesmaximal, characteristic, complemented
6#13074680C211yesmaximal, characteristic, complemented
7#13074635C211yesmaximal, characteristic, complemented
8#13074620C211yesmaximal, characteristic, complemented
9#13074166C211yesmaximal, characteristic, complemented
10#13074151C211yesmaximal, characteristic, complemented
11#13074136C211yesmaximal, characteristic, complemented
12#13074121C211yesmaximal, characteristic, complemented
13#13073841C211yesmaximal, characteristic, complemented
14#13073792C211yesmaximal, characteristic, complemented
15#13073774C211yesmaximal, characteristic, complemented
16#13073374C211yesmaximal, characteristic, complemented
17#13073251C211yesmaximal, characteristic, complemented
18#13073005C211yesmaximal, characteristic, complemented
19#13072859C211yesmaximal, characteristic, complemented
20#13072698C211yesmaximal, characteristic, complemented
21#13072539C211yesmaximal, characteristic, complemented
22#13072089C211yesmaximal, characteristic, complemented
23#13072074C211yesmaximal, characteristic
24#13071288C211yesmaximal, characteristic, complemented
25#13071277C211yesmaximal, characteristic
26#13071217C211yesmaximal, characteristic, complemented
27#13071212C211yesmaximal, characteristic, complemented
28#13071144C211yesmaximal, characteristic, complemented
29C2×#10622564C211yesmaximal, characteristic, complemented
30C4×D4×Dic11C211yesmaximal, characteristic, complemented
31C11×#2534C211yesmaximal, characteristic
32C2×C11×#123C2211yescharacteristic
33C2×C11×#120C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C22×C11×C22⋊C4C2211yescharacteristic
36C22×C22⋊Dic11C2211yescharacteristic
37C22×C22⋊Dic11C2211yescharacteristic
38C2×#66988C2211yescharacteristic
39C2×D4×Dic11C2211yescharacteristic
40C2×D4×Dic11C2211yescharacteristic
41C22×C4⋊Dic11C2211yescharacteristic
42C2×#66977C2211yescharacteristic
43C22×C4×Dic11C2211yescharacteristic
44C22×C4×Dic11C2211yescharacteristic, complemented
45C2×#66940C2211yescharacteristic, complemented
46C2×#66932C2211yescharacteristic
47C11×#396C2211yescharacteristic
48C11×#396C2211yescharacteristic
49C11×#394C2211yescharacteristic
50C11×#394C2211yescharacteristic
51C11×#388C2211yescharacteristic
52C11×#388C2211yescharacteristic
53C11×#386C2211yescharacteristic
54C11×#386C2211yescharacteristic
55C11×#381C2211yescharacteristic
56C11×#380C2211yescharacteristic
57C11×#379C2211yescharacteristic
58#10622860C2211yescharacteristic
59#10622860C2211yescharacteristic
60#10622835C2211yescharacteristic
61#10622835C2211yescharacteristic
62#10622834C2211yescharacteristic
63#10622834C2211yescharacteristic
64#10622833C2211yescharacteristic
65#10622833C2211yescharacteristic
66#10622833C2211yescharacteristic
67#10622833C2211yescharacteristic
68#10622833C2211yescharacteristic
69#10622824C2211yescharacteristic
70#10622824C2211yescharacteristic
71#10622823C2211yescharacteristic, complemented
72#10622823C2211yescharacteristic, complemented
73C4×C22⋊Dic11C2211yescharacteristic
74C4×C22⋊Dic11C2211yescharacteristic, complemented
75C2×C11⋊#95C2211yescharacteristic
76C2×C11⋊#95C2211yescharacteristic
77#10622599C2211yescharacteristic, complemented
78#10622599C2211yescharacteristic, complemented
79#10622599C2211yescharacteristic, complemented
80#10622599C2211yescharacteristic, complemented
81#10622598C2211yescharacteristic, complemented
82#10622598C2211yescharacteristic, complemented
83#10622597C2211yescharacteristic, complemented
84#10622597C2211yescharacteristic, complemented
85#10622596C2211yescharacteristic, complemented
86#10622594C2211yescharacteristic, complemented
87#10622594C2211yescharacteristic, complemented
88#10622592C2211yescharacteristic, complemented
89#10622591C2211yescharacteristic, complemented
90#10622591C2211yescharacteristic, complemented
91C4⋊C4×Dic11C2211yescharacteristic, complemented
92C4⋊C4×Dic11C2211yescharacteristic, complemented
93C4⋊C4×Dic11C2211yescharacteristic, complemented
94#10622587C2211yescharacteristic, complemented
95#10622586C2211yescharacteristic, complemented
96#10622566C2211yescharacteristic
97#10622566C2211yescharacteristic
98#10622566C2211yescharacteristic
99#10622566C2211yescharacteristic
100#10622565C2211yescharacteristic
101#10622565C2211yescharacteristic
102#10622565C2211yescharacteristic, complemented
103#10622565C2211yescharacteristic, complemented
104#10622564C2211yescharacteristic
105#10622564C2211yescharacteristic
106#10622564C2211yescharacteristic
107#10622564C2211yescharacteristic
108#10622564C2211yescharacteristic
109#10622564C2211yescharacteristic
110#10622564C2211yescharacteristic
111#10622564C2211yescharacteristic
112#10622564C2211yescharacteristic
113#10622564C2211yescharacteristic
114#10622564C2211yescharacteristic
115#10622564C2211yescharacteristic
116#10622564C2211yescharacteristic
117#10622564C2211yescharacteristic, complemented
118#10622564C2211yescharacteristic, complemented
119#10622563C2211yescharacteristic
120#10622563C2211yescharacteristic
121#10622563C2211yescharacteristic, complemented
122#10622563C2211yescharacteristic, complemented
123#10622562C2211yescharacteristic
124#10622562C2211yescharacteristic, complemented
125#10622561C2211yescharacteristic
126#10622560C2211yescharacteristic
127#10622560C2211yescharacteristic
128#10622560C2211yescharacteristic, complemented
129#10622559C2211yescharacteristic
130#10622559C2211yescharacteristic
131#10622559C2211yescharacteristic, complemented
132#10622558C2211yescharacteristic
133#10622558C2211yescharacteristic
134#10622558C2211yescharacteristic
135#10622558C2211yescharacteristic
136#10622558C2211yescharacteristic
137#10622558C2211yescharacteristic
138#10622558C2211yescharacteristic
139#10622558C2211yescharacteristic
140#10622558C2211yescharacteristic
141#10622557C2211yescharacteristic
142#10622557C2211yescharacteristic
143#10622557C2211yescharacteristic
144#10622557C2211yescharacteristic
145#10622557C2211yescharacteristic
146#10622557C2211yescharacteristic
147#10622557C2211yescharacteristic
148#10622556C2211yescharacteristic, complemented
149#10622555C2211yescharacteristic
150#10622555C2211yescharacteristic
151#10622555C2211yescharacteristic
152#10622555C2211yescharacteristic
153C22⋊C4×Dic11C2211yescharacteristic
154C22⋊C4×Dic11C2211yescharacteristic
155C22⋊C4×Dic11C2211yescharacteristic
156C22⋊C4×Dic11C2211yescharacteristic
157C22⋊C4×Dic11C2211yescharacteristic, complemented
158C22⋊C4×Dic11C2211yescharacteristic, complemented
159C4×C4⋊Dic11C2211yescharacteristic, complemented
160#10622546C2211yescharacteristic, complemented
161#10622546C2211yescharacteristic, complemented
162C42×Dic11C2211yescharacteristic, complemented
163C11⋊#401C2211yescharacteristic, complemented
164#10622273C2211yescharacteristic, complemented
165#10622272C2211yescharacteristic, complemented
166#10622271C2211yescharacteristic, complemented
167#10622268C2211yescharacteristic, complemented
168#10622268C2211yescharacteristic, complemented
169#10622268C2211yescharacteristic, complemented
170#10622267C2211yescharacteristic, complemented
171#10622267C2211yescharacteristic, complemented
172#10622267C2211yescharacteristic, complemented
173#10622267C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622264C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622262C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C11×#123—24no—
202C11×#120—24no—
203C4×D4×C11—24no—
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4—24no—
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C22⋊Dic11—24no—
228C2×C22⋊Dic11—42no—
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
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
255#66988—42no—
256D4×Dic11—24no—
257D4×Dic11—24no—
258C2×C4⋊Dic11—24no—
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270#66977—24no—
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×C4×Dic11—42no—
286C2×C4×Dic11—42no—
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303#66940—42no—
304#66932—42no—
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11⋊#95C2311yescharacteristic
312C11⋊#95C2311yescharacteristic
313C11⋊#95C2311yescharacteristic
314C11⋊#95C2311yescharacteristic
315C11⋊#95C2311yescharacteristic
316C11⋊#95C2311yescharacteristic
317C11⋊#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357#35027—111nomaximal, Sylow
358C24×C11—22no—
359C24×C11—22no—
360C24×C11—22no—
361C24×C11—41no—
362C24×C11—41no—
363C24×C11—41no—
364C24×C11—41no—
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C24×C11C2411yescharacteristic
368C24×C11C2411yescharacteristic
369C2×D4×C11—22no—
370C2×D4×C11—22no—
371C2×D4×C11—22no—
372C2×D4×C11—22no—
373C2×D4×C11—41no—
374C2×D4×C11—41no—
375C2×D4×C11—41no—
376C2×D4×C11—41no—
377C2×D4×C11#4114yes—
378C22×C4×C11—22no—
379C22×C4×C11—22no—
380C22×C4×C11—22no—
381C22×C4×C11—22no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11—41no—
385C22×C4×C11—41no—
386C22×C4×C11#4114yes—
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×Dic11—22no—
399C22×Dic11—22no—
400C22×Dic11—22no—
401C22×Dic11—22no—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—22no—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11—41no—
408C22×Dic11—41no—
409C22×Dic11—41no—
410C22×Dic11—41no—
411C22×Dic11—41no—
412C22×Dic11—41no—
413C22×Dic11—41no—
414C22×Dic11—41no—
415C22×Dic11#4114yes—
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C2×Dic22—22no—
433C2×Dic22—41no—
434C2×Dic22—41no—
435C11×C4⋊C4—22no—
436C11×C4⋊C4—22no—
437C11×C4⋊C4—22no—
438C11×C4⋊C4—41no—
439C11×C4⋊C4—41no—
440C11×C22⋊C4—22no—
441C11×C22⋊C4—22no—
442C11×C22⋊C4—22no—
443C11×C22⋊C4—22no—
444C11×C22⋊C4—22no—
445C11×C22⋊C4—22no—
446C11×C22⋊C4—22no—
447C11×C22⋊C4—22no—
448C11×C22⋊C4—22no—
449C11×C22⋊C4—22no—
450C11×C22⋊C4—22no—
451C11×C22⋊C4—22no—
452C11×C22⋊C4—41no—
453C11×C22⋊C4—41no—
454C11×C22⋊C4—41no—
455C11×C22⋊C4—41no—
456C42×C11—22no—
457C22⋊Dic11—22no—
458C22⋊Dic11—22no—
459C22⋊Dic11—22no—
460C22⋊Dic11—22no—
461C22⋊Dic11—22no—
462C22⋊Dic11—22no—
463C22⋊Dic11—22no—
464C22⋊Dic11—22no—
465C22⋊Dic11—22no—
466C22⋊Dic11—22no—
467C22⋊Dic11—22no—
468C22⋊Dic11—22no—
469C22⋊Dic11—41no—
470C22⋊Dic11—41no—
471C22⋊Dic11—41no—
472C22⋊Dic11—41no—
473C22⋊Dic11—41no—
474C22⋊Dic11—41no—
475C22⋊Dic11—41no—
476C22⋊Dic11—41no—
477C22⋊Dic11—41no—
478C22⋊Dic11—41no—
479C22⋊Dic11—41no—
480C22⋊Dic11—41no—
481C22⋊Dic11—41no—
482C22⋊Dic11—41no—
483C4⋊Dic11—22no—
484C4⋊Dic11—22no—
485C4⋊Dic11—22no—
486C4⋊Dic11—22no—
487C4⋊Dic11—22no—
488C4⋊Dic11—22no—
489C4⋊Dic11—22no—
490C4⋊Dic11—41no—
491C4⋊Dic11—41no—
492C4⋊Dic11—41no—
493C4⋊Dic11—41no—
494Dic11⋊C4—22no—
495Dic11⋊C4—22no—
496Dic11⋊C4—22no—
497Dic11⋊C4—22no—
498Dic11⋊C4—41no—
499Dic11⋊C4—41no—
500Dic11⋊C4—41no—
501Dic11⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508C4×Dic11—22no—
509C4×Dic11—22no—
510C4×Dic11—22no—
511C4×Dic11—22no—
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—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524#2866—111no—
525#2865—111no—
526#2853—111no—
527#2852—111no—
528#2654—111no—
529#2653—111no—
530#2650—111no—
531#2649—111no—
532#2597—111no—
533#2596—111no—
534#2595—111no—
535#2594—111no—
536#2569—111no—
537#2564—111no—
538#2561—111no—
539#2534D1111yescharacteristic
540#2525—111no—
541#2516—111no—
542#2493—111no—
543#2480—111no—
544#2469—111no—
545#2458—111no—
546#2419—111no—
547#2418—111no—
548#2322—111no—
549#2321—111no—
550#2313—111no—
551#2312—111no—
552C4×C22⋊Q8—111no—
553C2×#388—111no—
554C42×D4—111no—
555C23×C11—21no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11—44no—
580C23×C11—44no—
581C23×C11—44no—
582C23×C11—82no—
583C23×C11—82no—
584C23×C11—82no—
585C23×C11—82no—
586C23×C11C2×#4112yes—
587C23×C11C2×#4112yes—
588C23×C11C2×#4112yes—
589C23×C11C2×#4112yes—
590C23×C11C2511yescharacteristic
591D4×C11—28no—
592D4×C11—82no—
593D4×C11—82no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—44no—
625C2×C4×C11—44no—
626C2×C4×C11—44no—
627C2×C4×C11C2×#4112yes—
628C2×C4×C11C2×#4112yes—
629C2×C4×C11C2×#4112yes—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—44no—
676C2×Dic11—44no—
677C2×Dic11—44no—
678C2×Dic11—44no—
679C2×Dic11—82no—
680C2×Dic11—82no—
681C2×Dic11C2×#4112yes—
682C2×Dic11C2×#4112yes—
683C2×Dic11H(5,𝔽2)12yes—
684Dic22—44no—
685C2×#126—111no—
686C2×#123—111no—
687C2×#123C2×D1111yescharacteristic
688C2×C22⋊Q8—111no—
689C2×#120C2×D1111yescharacteristic
690C2×C4×Q8—111no—
691C2×C4×D4—111no—
692C2×C4×D4—111no—
693C2×C4×D4C2×D1111yescharacteristic
694C22×C4⋊C4—111no—
695C22×C22⋊C4—111no—
696C22×C22⋊C4—111no—
697C22×C22⋊C4C2×D1111yescharacteristic
698C22×C42—111no—
699C22×C42—111no—
700#401—111no—
701#400—111no—
702#400—111no—
703#400—111no—
704#400—111no—
705#400—111no—
706#400—111no—
707#400—111no—
708#399—111no—
709#399—111no—
710#398—111no—
711#398—111no—
712#398—111no—
713#397—111no—
714#397—111no—
715#397—111no—
716#397—111no—
717#397—111no—
718#397—111no—
719#397—111no—
720#397—111no—
721#396—111no—
722#396C2×D1111yescharacteristic
723#396C2×D1111yescharacteristic
724#395—111no—
725#394—111no—
726#394—111no—
727#394C2×D1111yescharacteristic
728#394C2×D1111yescharacteristic
729#393—111no—
730#393—111no—
731#393—111no—
732#391—111no—
733#390—111no—
734#390—111no—
735#389—111no—
736#389—111no—
737#389—111no—
738#388—111no—
739#388—111no—
740#388—111no—
741#388—111no—
742#388—111no—
743#388—111no—
744#388—111no—
745#388—111no—
746#388—111no—
747#388—111no—
748#388—111no—
749#388—111no—
750#388—111no—
751#388—111no—
752#388—111no—
753#388—111no—
754#388—111no—
755#388—111no—
756#388—111no—
757#388—111no—
758#388—111no—
759#388—111no—
760#388—111no—
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388C2×D1111yescharacteristic
770#388C2×D1111yescharacteristic
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387—111no—
778#387—111no—
779#387—111no—
780#387—111no—
781#387—111no—
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#387—111no—
790#387—111no—
791#387—111no—
792#387—111no—
793#387—111no—
794#386—111no—
795#386—111no—
796#386—111no—
797#386—111no—
798#386—111no—
799#386C2×D1111yescharacteristic
800#386C2×D1111yescharacteristic
801#385—111no—
802#385—111no—
803#385—111no—
804#385—111no—
805#385—111no—
806#385—111no—
807#385—111no—
808#385—111no—
809#385—111no—
810#383—111no—
811#381—111no—
812#381—111no—
813#381—111no—
814#381C2×D1111yescharacteristic
815#380—111no—
816#380—111no—
817#380—111no—
818#380—111no—
819#380C2×D1111yescharacteristic
820#379—111no—
821#379—111no—
822#379C2×D1111yescharacteristic
823C4×C4⋊C4—111no—
824C4×C4⋊C4—111no—
825C4×C4⋊C4—111no—
826C4×C4⋊C4—111no—
827C4×C4⋊C4—111no—
828C4×C4⋊C4—111no—
829C4×C22⋊C4—111no—
830C4×C22⋊C4—111no—
831C4×C22⋊C4—111no—
832C4×C22⋊C4—111no—
833C4×C22⋊C4—111no—
834C4×C22⋊C4—111no—
835C4×C22⋊C4—111no—
836C4×C22⋊C4—111no—
837C2×#95—111no—
838C2×#95—111no—
839C43—111no—
840C22×C11—22no—
841C22×C11—22no—
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—22no—
845C22×C11—22no—
846C22×C11—22no—
847C22×C11—22no—
848C22×C11—22no—
849C22×C11—41no—
850C22×C11—41no—
851C22×C11—41no—
852C22×C11—41no—
853C22×C11—41no—
854C22×C11—41no—
855C22×C11—41no—
856C22×C11—41no—
857C22×C11—41no—
858C22×C11—41no—
859C22×C11—41no—
860C22×C11—41no—
861C22×C11—41no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11—41no—
865C22×C11—41no—
866C22×C11—41no—
867C22×C11—88no—
868C22×C11#52914yes—
869C22×C11C22×#4111yescharacteristic
870C22×C11C22×#4111yescharacteristic
871C22×C11C22×#4111yescharacteristic
872C22×C11C2×H(5,𝔽2)11yescharacteristic
873C22×C11#58511yescharacteristic
874C22×C11#58511yescharacteristic
875C22×C11#58511yescharacteristic
876C4×C11—22no—
877C4×C11—22no—
878C4×C11—22no—
879C4×C11—41no—
880C4×C11—41no—
881C4×C11—41no—
882C4×C11—41no—
883C4×C11—41no—
884C4×C11—41no—
885C4×C11—41no—
886C4×C11—41no—
887Dic11—22no—
888Dic11—22no—
889Dic11—22no—
890Dic11—41no—
891Dic11—41no—
892Dic11—41no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896Dic11—41no—
897Dic11—41no—
898Dic11—41no—
899Dic11—41no—
900Dic11—41no—
901Dic11—41no—
902Dic11—41no—
903C25C22×D1111yescharacteristic
904C22×Q8—111no—
905C22×D4C22×D1111yescharacteristic
906C22×D4C22×D1111yescharacteristic
907C22×D4C22×D1111yescharacteristic
908C23×C4—111no—
909C23×C4—111no—
910C23×C4—111no—
911C23×C4—111no—
912C23×C4—111no—
913C23×C4—111no—
914C23×C4C22×D1111yescharacteristic
915C23×C4C22×D1111yescharacteristic
916C23×C4C22×D1111yescharacteristic
917#126—442no—
918#123—24no—
919#123—442no—
920C22⋊Q8—224no—
921#120—24no—
922C4×Q8—442no—
923C4×D4—24no—
924C4×D4—224no—
925C4×D4—224no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—224no—
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C4⋊C4C22×D1111yescharacteristic
955C2×C4⋊C4C22×D1111yescharacteristic
956C2×C4⋊C4C22×D1111yescharacteristic
957C2×C22⋊C4—24no—
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4—111no—
984C2×C22⋊C4—224no—
985C2×C22⋊C4—442no—
986C2×C22⋊C4C22×D1111yescharacteristic
987C2×C22⋊C4C22×D1111yescharacteristic
988C2×C22⋊C4C22×D1111yescharacteristic
989C2×C22⋊C4C22×D1111yescharacteristic
990C2×C22⋊C4C22×D1111yescharacteristic
991C2×C22⋊C4C22×D1111yescharacteristic
992C2×C22⋊C4C22×D1111yescharacteristic
993C2×C22⋊C4C22×D1111yescharacteristic
994C2×C22⋊C4C22×D1111yescharacteristic
995C2×C22⋊C4C22×D1111yescharacteristic
996C2×C22⋊C4C22×D1111yescharacteristic
997C2×C22⋊C4C22×D1111yescharacteristic
998C2×C22⋊C4C22×D1111yescharacteristic
999C2×C22⋊C4C22×D1111yescharacteristic
1000C2×C22⋊C4C22×D1111yescharacteristic
1001C2×C22⋊C4C22×D1111yescharacteristic
1002C2×C42—111no—
1003C2×C42—111no—
1004C2×C42—111no—
1005C2×C42—111no—
1006C2×C42—111no—
1007C2×C42—111no—
1008C2×C42—111no—
1009C2×C42—111no—
1010C2×C42—111no—
1011C2×C42—111no—
1012C2×C42—111no—
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42—111no—
1018C2×C42—442no—
1019C2×C42—442no—
1020C2×C42C22×D1111yescharacteristic
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069#95C22×D1111yescharacteristic
1070#95C22×D1111yescharacteristic
1071#95C22×D1111yescharacteristic
1072#95C22×D1111yescharacteristic
1073C2×C11—24no—
1074C2×C11—42no—
1075C2×C11—81no—
1076C2×C11—81no—
1077C2×C11C2×#52911yescharacteristic
1078C2×C11#345511yescharacteristic
1079C2×C11#345911yescharacteristic
1080C2×C11#350511yescharacteristic
1081C2×C11#351011yescharacteristic
1082C2×C11#351311yescharacteristic
1083C2×C11#352111yescharacteristic
1084C24—22no—
1085C24—22no—
1086C24—22no—
1087C24—41no—
1088C24—41no—
1089C24—41no—
1090C24—41no—
1091C24C23×D1111yescharacteristic
1092C24C23×D1111yescharacteristic
1093C24C23×D1111yescharacteristic
1094C24C23×D1111yescharacteristic
1095C2×Q8—222no—
1096C2×Q8—441no—
1097C2×Q8—441no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—22no—
1101C2×D4—22no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4#434114yes—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—111no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—114no—
1119C22×C4—111no—
1120C22×C4—111no—
1121C22×C4—111no—
1122C22×C4—111no—
1123C22×C4—111no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—111no—
1129C22×C4—111no—
1130C22×C4—111no—
1131C22×C4—111no—
1132C22×C4—222no—
1133C22×C4—222no—
1134C22×C4—222no—
1135C22×C4—222no—
1136C22×C4—222no—
1137C22×C4—222no—
1138C22×C4—222no—
1139C22×C4—441no—
1140C22×C4—441no—
1141C22×C4—441no—
1142C22×C4—441no—
1143C22×C4—441no—
1144C22×C4—441no—
1145C22×C4—441no—
1146C22×C4—441no—
1147C22×C4—441no—
1148C22×C4—441no—
1149C22×C4#434114yes—
1150C22×C4C23×D1111yescharacteristic
1151C22×C4C23×D1111yescharacteristic
1152C22×C4C23×D1111yescharacteristic
1153C22×C4C23×D1111yescharacteristic
1154C22×C4C23×D1111yescharacteristic
1155C22×C4C23×D1111yescharacteristic
1156C22×C4C23×D1111yescharacteristic
1157C22×C4C23×D1111yescharacteristic
1158C22×C4C23×D1111yescharacteristic
1159C22×C4C23×D1111yescharacteristic
1160C22×C4C23×D1111yescharacteristic
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—22no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—222no—
1167C4⋊C4—222no—
1168C4⋊C4—222no—
1169C4⋊C4—222no—
1170C4⋊C4—222no—
1171C4⋊C4—222no—
1172C4⋊C4—222no—
1173C4⋊C4—222no—
1174C4⋊C4—222no—
1175C4⋊C4—222no—
1176C4⋊C4—222no—
1177C4⋊C4—441no—
1178C4⋊C4—441no—
1179C4⋊C4—441no—
1180C4⋊C4—441no—
1181C4⋊C4—441no—
1182C4⋊C4—441no—
1183C4⋊C4—441no—
1184C4⋊C4—441no—
1185C4⋊C4—441no—
1186C4⋊C4—441no—
1187C4⋊C4—441no—
1188C4⋊C4—441no—
1189C4⋊C4—441no—
1190C4⋊C4—441no—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—41no—
1204C22⋊C4—41no—
1205C22⋊C4—41no—
1206C22⋊C4—41no—
1207C22⋊C4—222no—
1208C22⋊C4—222no—
1209C22⋊C4—222no—
1210C22⋊C4—222no—
1211C22⋊C4—222no—
1212C22⋊C4—222no—
1213C22⋊C4—222no—
1214C22⋊C4—222no—
1215C22⋊C4—222no—
1216C22⋊C4—222no—
1217C22⋊C4—222no—
1218C22⋊C4—222no—
1219C22⋊C4—441no—
1220C22⋊C4—441no—
1221C22⋊C4—441no—
1222C22⋊C4—441no—
1223C22⋊C4—441no—
1224C22⋊C4—441no—
1225C22⋊C4—441no—
1226C22⋊C4—441no—
1227C22⋊C4—441no—
1228C22⋊C4—441no—
1229C22⋊C4—441no—
1230C22⋊C4—441no—
1231C22⋊C4—441no—
1232C22⋊C4—441no—
1233C42—22no—
1234C42—222no—
1235C42—222no—
1236C42—222no—
1237C42—222no—
1238C42—222no—
1239C42—441no—
1240C42—441no—
1241C42—441no—
1242C42—441no—
1243C42—441no—
1244C42—441no—
1245C42—441no—
1246C42—441no—
1247C42—441no—
1248C42—441no—
1249C42—441no—
1250C11#3502711yescharacteristic, complemented, Sylow
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—44no—
1276C23—44no—
1277C23—44no—
1278C23—82no—
1279C23—82no—
1280C23—82no—
1281C23—82no—
1282C23C2×#434112yes—
1283C23C2×#434112yes—
1284C23C2×#434112yes—
1285C23#41×D1112yes—
1286C23C24×D1111yescharacteristic
1287Q8—444no—
1288D4—28no—
1289D4—82no—
1290D4—82no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—44no—
1322C2×C4—44no—
1323C2×C4—44no—
1324C2×C4—112no—
1325C2×C4—112no—
1326C2×C4—112no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—221no—
1356C2×C4—221no—
1357C2×C4—221no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—444no—
1373C2×C4—444no—
1374C2×C4—444no—
1375C2×C4—444no—
1376C2×C4—882no—
1377C2×C4—882no—
1378C2×C4C2×#434112yes—
1379C2×C4C2×#434112yes—
1380C2×C4C2×#434112yes—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—22no—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—88no—
1409C22#1062313114yes—
1410C22C22×#434111yescharacteristic
1411C22C22×#434111yescharacteristic
1412C22C2×#41×D1111yescharacteristic
1413C22#1062345311yescharacteristic
1414C22#1062345311yescharacteristic
1415C22D11×H(5,𝔽2)11yescharacteristic
1416C22#1062345511yescharacteristic
1417C4—22no—
1418C4—22no—
1419C4—22no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—222no—
1429C4—222no—
1430C4—222no—
1431C4—441no—
1432C4—441no—
1433C4—441no—
1434C4—441no—
1435C4—441no—
1436C4—441no—
1437C4—441no—
1438C4—441no—
1439C4—441no—
1440C4—441no—
1441C4—441no—
1442C4—441no—
1443C4—441no—
1444C2—24no—
1445C2—42no—
1446C2—81no—
1447C2—81no—
1448C2C2×#1062313111yescharacteristic
1449C2#1308200411yescharacteristic
1450C2#1308202211yescharacteristic
1451C2#1308244711yescharacteristic
1452C2#1308250411yescharacteristic
1453C2#1308254511yescharacteristic
1454C2#1308267311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2534C2
prime radicalC2×C11×#120C22
hypercenter#2534D11
hypocenterC11#35027
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2534

Complements

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

NH ≅ G/Ntype
1. #13077007C2semidirect
2. #13077004C2semidirect
3. #13076937C2semidirect
4. #13076929C2semidirect
5. #13074695C2semidirect
6. #13074680C2semidirect
7. #13074635C2semidirect
8. #13074620C2semidirect
9. #13074166C2semidirect
10. #13074151C2semidirect
11. #13074136C2semidirect
12. #13074121C2semidirect
13. #13073841C2semidirect
14. #13073792C2semidirect
15. #13073774C2semidirect
16. #13073374C2semidirect
17. #13073251C2semidirect
18. #13073005C2semidirect
19. #13072859C2semidirect
20. #13072698C2semidirect
21. #13072539C2semidirect
22. #13072089C2semidirect
24. #13071288C2semidirect
26. #13071217C2semidirect
27. #13071212C2semidirect
28. #13071144C2semidirect
29. C2×#10622564C2semidirect
30. C4×D4×Dic11C2semidirect
44. C22×C4×Dic11C22semidirect
45. C2×#66940C22semidirect
71. #10622823C22semidirect
72. #10622823C22semidirect
74. C4×C22⋊Dic11C22semidirect
77. #10622599C22semidirect
78. #10622599C22semidirect
79. #10622599C22semidirect
80. #10622599C22semidirect
81. #10622598C22semidirect
82. #10622598C22semidirect
83. #10622597C22semidirect
84. #10622597C22semidirect
85. #10622596C22semidirect
86. #10622594C22semidirect
87. #10622594C22semidirect
88. #10622592C22semidirect
89. #10622591C22semidirect
90. #10622591C22semidirect
91. C4⋊C4×Dic11C22semidirect
92. C4⋊C4×Dic11C22semidirect
93. C4⋊C4×Dic11C22semidirect
94. #10622587C22semidirect
95. #10622586C22semidirect
102. #10622565C22semidirect
103. #10622565C22semidirect
117. #10622564C22semidirect
118. #10622564C22semidirect
121. #10622563C22semidirect
122. #10622563C22semidirect
124. #10622562C22semidirect
128. #10622560C22semidirect
131. #10622559C22semidirect
148. #10622556C22semidirect
157. C22⋊C4×Dic11C22semidirect
158. C22⋊C4×Dic11C22semidirect
159. C4×C4⋊Dic11C22semidirect
160. #10622546C22semidirect
161. #10622546C22semidirect
162. C42×Dic11C22semidirect
163. C11⋊#401C22semidirect
164. #10622273C22semidirect
165. #10622272C22semidirect
166. #10622271C22semidirect
167. #10622268C22semidirect
168. #10622268C22semidirect
169. #10622268C22semidirect
170. #10622267C22semidirect
171. #10622267C22semidirect
172. #10622267C22semidirect
173. #10622267C22semidirect
174. #10622267C22semidirect
175. #10622267C22semidirect
176. #10622266C22semidirect
177. #10622266C22semidirect
178. #10622266C22semidirect
179. #10622266C22semidirect
180. #10622266C22semidirect
181. #10622265C22semidirect
182. #10622265C22semidirect
183. #10622265C22semidirect
184. #10622264C22semidirect
185. #10622262C22semidirect
186. #10622262C22semidirect
1250. C11#35027semidirect

Maximal subgroups

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

subgroupindex
#130770072
#130770042
#130769372
#130769292
#130746952
#130746802
#130746352
#130746202
#130741662
#130741512
#130741362
#130741212
#130738412
#130737922
#130737742
#130733742
#130732512
#130730052
#130728592
#130726982
#130725392
#130720892
#130720742
#130712882
#130712772
#130712172
#130712122
#130711442
C2×#106225642
C4×D4×Dic112
C11×#25342
#3502711