Finite Group Databasebeta

← #14962247

Subgroups — #14962247

Order 2816.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076928C211yesmaximal, characteristic, complemented
2#13076925C211yesmaximal, characteristic, complemented
3#13076329C211yesmaximal, characteristic, complemented
4#13076294C211yesmaximal, characteristic, complemented
5#13076124C211yesmaximal, characteristic, complemented
6#13076117C211yesmaximal, characteristic, complemented
7#13075808C211yesmaximal, characteristic, complemented
8#13075798C211yesmaximal, characteristic, complemented
9#13075784C211yesmaximal, characteristic, complemented
10#13075771C211yesmaximal, characteristic, complemented
11#13075767C211yesmaximal, characteristic, complemented
12#13075762C211yesmaximal, characteristic, complemented
13#13075689C211yesmaximal, characteristic, complemented
14#13075664C211yesmaximal, characteristic, complemented
15#13075145C211yesmaximal, characteristic, complemented
16#13075141C211yesmaximal, characteristic, complemented
17#13075078C211yesmaximal, characteristic, complemented
18#13074428C211yesmaximal, characteristic, complemented
19#13074401C211yesmaximal, characteristic, complemented
20#13073116C211yesmaximal, characteristic, complemented
21#13073008C211yesmaximal, characteristic, complemented
22#13072893C211yesmaximal, characteristic, complemented
23#13072433C211yesmaximal, characteristic, complemented
24#13072279C211yesmaximal, characteristic, complemented
25#13072086C211yesmaximal, characteristic, complemented
26#13072011C211yesmaximal, characteristic
27#13072007C211yesmaximal, characteristic
28#13071275C211yesmaximal, characteristic
29#13071227C211yesmaximal, characteristic, complemented
30D11×#388C211yesmaximal, characteristic, complemented
31C11×#2723C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic, complemented
33C2×C11×C22⋊Q8C2211yescharacteristic
34C2×#66999C2211yescharacteristic
35C2×#66990C2211yescharacteristic
36C22×(C2×D11)⋊C4C2211yescharacteristic
37C2×C4⋊C4×D11C2211yescharacteristic
38C2×#66943C2211yescharacteristic, complemented
39C2×#66936C2211yescharacteristic
40C2×#66936C2211yescharacteristic
41C2×(C22⋊D11)⋊C4C2211yescharacteristic
42C2×C22⋊C4×D11C2211yescharacteristic
43C2×C22⋊C4×D11C2211yescharacteristic
44C2×C22⋊C4×D11C2211yescharacteristic
45C2×C22⋊C4×D11C2211yescharacteristic
46C2×C42×D11C2211yescharacteristic
47C11×#399C2211yescharacteristic, complemented
48C11×#397C2211yescharacteristic
49C11×#397C2211yescharacteristic, complemented
50C11×#395C2211yescharacteristic, complemented
51C11×#394C2211yescharacteristic
52C11×#393C2211yescharacteristic, complemented
53C11×#390C2211yescharacteristic
54C11×#389C2211yescharacteristic, complemented
55C11×#388C2211yescharacteristic
56C11×#387C2211yescharacteristic, complemented
57C11×#386C2211yescharacteristic
58C11×#385C2211yescharacteristic
59C11×#382C2211yescharacteristic, complemented
60#10622844C2211yescharacteristic
61#10622843C2211yescharacteristic, complemented
62#10622842C2211yescharacteristic, complemented
63#10622835C2211yescharacteristic
64#10622833C2211yescharacteristic
65#10622833C2211yescharacteristic
66#10622825C2211yescharacteristic
67#10622823C2211yescharacteristic
68#10622823C2211yescharacteristic
69#10622607C2211yescharacteristic
70#10622607C2211yescharacteristic
71#10622605C2211yescharacteristic
72#10622603C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622602C2211yescharacteristic
75#10622602C2211yescharacteristic
76#10622602C2211yescharacteristic
77#10622602C2211yescharacteristic
78#10622602C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622600C2211yescharacteristic
83#10622600C2211yescharacteristic
84#10622600C2211yescharacteristic
85#10622600C2211yescharacteristic
86#10622599C2211yescharacteristic, complemented
87#10622599C2211yescharacteristic, complemented
88#10622599C2211yescharacteristic, complemented
89#10622599C2211yescharacteristic, complemented
90#10622597C2211yescharacteristic, complemented
91#10622597C2211yescharacteristic, complemented
92#10622597C2211yescharacteristic, complemented
93#10622595C2211yescharacteristic, complemented
94#10622594C2211yescharacteristic, complemented
95#10622594C2211yescharacteristic, complemented
96#10622594C2211yescharacteristic, complemented
97#10622593C2211yescharacteristic, complemented
98#10622593C2211yescharacteristic, complemented
99#10622591C2211yescharacteristic, complemented
100#10622591C2211yescharacteristic, complemented
101#10622591C2211yescharacteristic, complemented
102#10622590C2211yescharacteristic, complemented
103#10622574C2211yescharacteristic
104#10622572C2211yescharacteristic
105#10622571C2211yescharacteristic
106#10622570C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622568C2211yescharacteristic
113#10622566C2211yescharacteristic
114#10622566C2211yescharacteristic
115#10622565C2211yescharacteristic
116#10622565C2211yescharacteristic
117#10622565C2211yescharacteristic
118#10622565C2211yescharacteristic, complemented
119#10622565C2211yescharacteristic, complemented
120#10622565C2211yescharacteristic, complemented
121#10622564C2211yescharacteristic
122#10622563C2211yescharacteristic
123#10622563C2211yescharacteristic
124#10622563C2211yescharacteristic, complemented
125#10622563C2211yescharacteristic, complemented
126#10622562C2211yescharacteristic, complemented
127#10622561C2211yescharacteristic, complemented
128#10622559C2211yescharacteristic
129#10622558C2211yescharacteristic
130#10622558C2211yescharacteristic
131#10622558C2211yescharacteristic
132#10622557C2211yescharacteristic
133#10622557C2211yescharacteristic, complemented
134#10622557C2211yescharacteristic, complemented
135#10622557C2211yescharacteristic, complemented
136#10622556C2211yescharacteristic, complemented
137#10622555C2211yescharacteristic
138#10622555C2211yescharacteristic
139#10622555C2211yescharacteristic, complemented
140#10622553C2211yescharacteristic
141#10622553C2211yescharacteristic
142C4×(C2×D11)⋊C4C2211yescharacteristic
143#10622550C2211yescharacteristic, complemented
144#10622546C2211yescharacteristic, complemented
145#10622546C2211yescharacteristic, complemented
146#10622541C2211yescharacteristic, complemented
147#10622288C2211yescharacteristic
148#10622287C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622282C2211yescharacteristic
151#10622281C2211yescharacteristic
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622280C2211yescharacteristic
157#10622280C2211yescharacteristic
158#10622280C2211yescharacteristic
159#10622277C2211yescharacteristic
160#10622277C2211yescharacteristic
161#10622277C2211yescharacteristic
162#10622277C2211yescharacteristic
163#10622277C2211yescharacteristic
164#10622277C2211yescharacteristic
165D11×#95C2211yescharacteristic
166D11×#95C2211yescharacteristic
167C11⋊#401C2211yescharacteristic, complemented
168#10622273C2211yescharacteristic, complemented
169#10622273C2211yescharacteristic, complemented
170#10622272C2211yescharacteristic, complemented
171#10622272C2211yescharacteristic, complemented
172#10622272C2211yescharacteristic, complemented
173#10622271C2211yescharacteristic, complemented
174#10622271C2211yescharacteristic, complemented
175#10622270C2211yescharacteristic, complemented
176#10622270C2211yescharacteristic, complemented
177#10622270C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622267C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622264C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C11×#126—42no—
204C11×C22⋊Q8—42no—
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊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×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
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
238#66999—42no—
239#66990—24no—
240C2×(C2×D11)⋊C4—42no—
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×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×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C4⋊C4×D11—42no—
292#66943—42no—
293#66936—42no—
294#66936—42no—
295(C22⋊D11)⋊C4—42no—
296C22⋊C4×D11—24no—
297C22⋊C4×D11—24no—
298C22⋊C4×D11—42no—
299C22⋊C4×D11—42no—
300C42×D11—42no—
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
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#36780—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C23×D11—22no—
361C23×D11—22no—
362C23×D11—41no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11#4114yes—
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C2×Q8×C11—41no—
370C2×Q8×C11—41no—
371C2×Q8×C11—41no—
372C2×D4×C11—22no—
373C2×D4×C11—41no—
374C2×D4×C11—41no—
375C22×C4×C11—41no—
376C22×C4×C11—41no—
377C22×C4×C11—41no—
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C2×C22⋊D11—22no—
392C2×C22⋊D11—22no—
393C2×C22⋊D11—22no—
394C2×C22⋊D11—22no—
395C2×C22⋊D11—41no—
396C2×C22⋊D11—41no—
397C22×Dic11—41no—
398C22×Dic11—41no—
399C22×Dic11—41no—
400C22×Dic11—41no—
401C22×Dic11—41no—
402C22×Dic11—41no—
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—22no—
420C2×C4×D11—22no—
421C2×C4×D11—22no—
422C2×C4×D11—22no—
423C2×C4×D11—22no—
424C2×C4×D11—22no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—41no—
429C2×C4×D11—41no—
430C2×C4×D11—41no—
431C2×C4×D11—41no—
432C2×C4×D11—41no—
433C2×C4×D11—41no—
434C2×C4×D11—41no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×C4×D11—41no—
438C2×C4×D11—41no—
439C2×C4×D11—41no—
440C2×C4×D11—41no—
441C11×C4⋊C4—22no—
442C11×C4⋊C4—22no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
445C11×C4⋊C4—41no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4—41no—
448C11×C4⋊C4—41no—
449C11×C4⋊C4—41no—
450C11×C22⋊C4—22no—
451C11×C22⋊C4—22no—
452C11×C22⋊C4—22no—
453C11×C22⋊C4—22no—
454C11×C22⋊C4—41no—
455C11×C22⋊C4—41no—
456C11×C22⋊C4—41no—
457C11×C22⋊C4—41no—
458C11×C22⋊C4—41no—
459C11×C22⋊C4—41no—
460C11×C22⋊C4—41no—
461C42×C11—22no—
462C42×C11—41no—
463C22⋊Dic11—22no—
464C22⋊Dic11—22no—
465C22⋊Dic11—22no—
466C22⋊Dic11—41no—
467C22⋊Dic11—41no—
468C22⋊Dic11—41no—
469C22⋊Dic11—41no—
470C22⋊Dic11—41no—
471C22⋊Dic11—41no—
472C22⋊Dic11—41no—
473C22⋊Dic11—41no—
474(C2×D11)⋊C4—22no—
475(C2×D11)⋊C4—22no—
476(C2×D11)⋊C4—22no—
477(C2×D11)⋊C4—22no—
478(C2×D11)⋊C4—22no—
479(C2×D11)⋊C4—22no—
480(C2×D11)⋊C4—22no—
481(C2×D11)⋊C4—22no—
482(C2×D11)⋊C4—22no—
483(C2×D11)⋊C4—22no—
484(C2×D11)⋊C4—22no—
485(C2×D11)⋊C4—41no—
486(C2×D11)⋊C4—41no—
487(C2×D11)⋊C4—41no—
488(C2×D11)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491(C2×D11)⋊C4—41no—
492C4⋊Dic11—22no—
493C4⋊Dic11—41no—
494C4⋊Dic11—41no—
495C4⋊Dic11—41no—
496C4⋊Dic11—41no—
497C4⋊Dic11—41no—
498C4⋊Dic11—41no—
499C4⋊Dic11—41no—
500C4⋊Dic11—41no—
501Dic11⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519C4×Dic11—22no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524#2852—111no—
525#2851—111no—
526#2786—111no—
527#2782—111no—
528#2770—111no—
529#2770—111no—
530#2747—111no—
531#2746—111no—
532#2745—111no—
533#2744—111no—
534#2744—111no—
535#2743—111no—
536#2738—111no—
537#2737—111no—
538#2723D1111yescharacteristic, complemented
539#2695—111no—
540#2694—111no—
541#2690—111no—
542#2627—111no—
543#2623—111no—
544#2505—111no—
545#2493—111no—
546#2483—111no—
547#2450—111no—
548#2437—111no—
549#2419—111no—
550#2412—111no—
551#2412—111no—
552#2321—111no—
553#2315—111no—
554C2×#388—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×C11C2×#4112yes—
569C23×C11C2511yescharacteristic
570C22×D11—21no—
571C22×D11—21no—
572C22×D11—21no—
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—28no—
581C22×D11—44no—
582C22×D11—44no—
583C22×D11—82no—
584C22×D11—82no—
585C22×D11—82no—
586C22×D11—82no—
587C22×D11C2×#4112yes—
588C22×D11C2×#4112yes—
589C22×D11H(5,𝔽2)12yes—
590C22×D112−1+412yes—
591Q8×C11—82no—
592D4×C11—82no—
593C2×C4×C11—21no—
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—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—82no—
632C2×C4×C11H(5,𝔽2)12yes—
633C22⋊D11—44no—
634C22⋊D11—82no—
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—21no—
676C2×Dic11—21no—
677C2×Dic11—82no—
678C2×Dic11—82no—
679C4×D11—44no—
680C4×D11—44no—
681C4×D11—44no—
682C4×D11—44no—
683C4×D11—82no—
684C4×D11—82no—
685C4×D11—82no—
686C4×D11—82no—
687C2×#126C2×D1111yescharacteristic, complemented
688C2×#125—111no—
689C2×#123—111no—
690C2×#123—111no—
691C2×C22⋊Q8—111no—
692C2×C22⋊Q8C2×D1111yescharacteristic
693C2×#120—111no—
694C2×C4×D4—111no—
695C22×C4⋊C4—111no—
696C22×C22⋊C4—111no—
697C22×C22⋊C4—111no—
698C22×C22⋊C4—111no—
699C22×C22⋊C4—111no—
700C22×C22⋊C4—111no—
701C22×C42—111no—
702#401—111no—
703#400—111no—
704#400—111no—
705#400—111no—
706#400—111no—
707#400—111no—
708#400—111no—
709#400—111no—
710#400—111no—
711#400—111no—
712#400—111no—
713#400—111no—
714#400—111no—
715#399—111no—
716#399—111no—
717#399C2×D1111yescharacteristic, complemented
718#398—111no—
719#398—111no—
720#398—111no—
721#398—111no—
722#398—111no—
723#398—111no—
724#398—111no—
725#398—111no—
726#398—111no—
727#397—111no—
728#397—111no—
729#397—111no—
730#397—111no—
731#397—111no—
732#397—111no—
733#397—111no—
734#397—111no—
735#397—111no—
736#397—111no—
737#397C2×D1111yescharacteristic
738#397C2×D1111yescharacteristic, complemented
739#396—111no—
740#396—111no—
741#396—111no—
742#395—111no—
743#395C2×D1111yescharacteristic, complemented
744#394—111no—
745#394—111no—
746#394—111no—
747#394C2×D1111yescharacteristic
748#393—111no—
749#393C2×D1111yescharacteristic, complemented
750#391—111no—
751#390—111no—
752#390C2×D1111yescharacteristic
753#389—111no—
754#389—111no—
755#389C2×D1111yescharacteristic, complemented
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#388—111no—
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#387C2×D1111yescharacteristic, complemented
786#386—111no—
787#386—111no—
788#386—111no—
789#386—111no—
790#386—111no—
791#386—111no—
792#386—111no—
793#386—111no—
794#386C2×D1111yescharacteristic
795#385—111no—
796#385—111no—
797#385—111no—
798#385—111no—
799#385—111no—
800#385—111no—
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#385—111no—
811#385—111no—
812#385—111no—
813#385—111no—
814#385—111no—
815#385C2×D1111yescharacteristic
816#383—111no—
817#383—111no—
818#382—111no—
819#382C2×D1111yescharacteristic, complemented
820#381—111no—
821#381—111no—
822#381—111no—
823#381—111no—
824#381—111no—
825#381—111no—
826#381—111no—
827#380—111no—
828#380—111no—
829#380—111no—
830#380—111no—
831#380—111no—
832#380—111no—
833#380—111no—
834#380—111no—
835#380—111no—
836#380—111no—
837#380—111no—
838#379—111no—
839C4×C22⋊C4—111no—
840C2×#95—111no—
841C2×#95—111no—
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—22no—
845C22×C11—41no—
846C22×C11—41no—
847C22×C11—41no—
848C22×C11—41no—
849C22×C11—41no—
850C22×C11—41no—
851C22×C11—41no—
852C22×C11—41no—
853C22×C11—41no—
854C22×C11—41no—
855C22×C11—41no—
856C22×C11C22×#4111yescharacteristic
857C22×C11C2×H(5,𝔽2)11yescharacteristic
858C22×C11C2×H(5,𝔽2)11yescharacteristic
859C22×C11C2×2−1+411yescharacteristic
860C22×C11#58511yescharacteristic
861C22×C11#58511yescharacteristic
862C22×C11#58511yescharacteristic
863C2×D11—22no—
864C2×D11—22no—
865C2×D11—22no—
866C2×D11—22no—
867C2×D11—22no—
868C2×D11—22no—
869C2×D11—22no—
870C2×D11—22no—
871C2×D11—22no—
872C2×D11—41no—
873C2×D11—41no—
874C2×D11—41no—
875C2×D11—41no—
876C2×D11—88no—
877C2×D11#53914yes—
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—
887C4×C11—41no—
888C4×C11—41no—
889C4×C11—41no—
890C4×C11—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—
903Dic11—41no—
904Dic11—41no—
905C25—111no—
906C22×Q8C22×D1111yescharacteristic
907C22×D4—111no—
908C22×D4—111no—
909C22×D4C22×D1111yescharacteristic
910C23×C4—111no—
911C23×C4—111no—
912C23×C4—111no—
913C23×C4—111no—
914C23×C4—111no—
915C23×C4—111no—
916C23×C4—111no—
917C23×C4—111no—
918C23×C4—111no—
919C23×C4—111no—
920C23×C4C22×D1111yescharacteristic
921#126—42no—
922#125—442no—
923#123—442no—
924#123—442no—
925C22⋊Q8—42no—
926C22⋊Q8—442no—
927#120—224no—
928C4×D4—442no—
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—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—442no—
957C2×C4⋊C4C22×D1111yescharacteristic
958C2×C4⋊C4C22×D1111yescharacteristic
959C2×C4⋊C4C22×D1111yescharacteristic
960C2×C4⋊C4C22×D1111yescharacteristic
961C2×C4⋊C4C22×D1111yescharacteristic
962C2×C4⋊C4C22×D1111yescharacteristic
963C2×C4⋊C4C22×D1111yescharacteristic
964C2×C4⋊C4C22×D1111yescharacteristic
965C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—224no—
996C2×C22⋊C4—224no—
997C2×C22⋊C4—442no—
998C2×C22⋊C4—442no—
999C2×C22⋊C4—442no—
1000C2×C22⋊C4C22×D1111yescharacteristic
1001C2×C22⋊C4C22×D1111yescharacteristic
1002C2×C22⋊C4C22×D1111yescharacteristic
1003C2×C22⋊C4C22×D1111yescharacteristic
1004C2×C22⋊C4C22×D1111yescharacteristic
1005C2×C22⋊C4C22×D1111yescharacteristic
1006C2×C22⋊C4C22×D1111yescharacteristic
1007C2×C22⋊C4C22×D1111yescharacteristic
1008C2×C22⋊C4C22×D1111yescharacteristic
1009C2×C22⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4C22×D1111yescharacteristic
1011C2×C42—111no—
1012C2×C42—111no—
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—442no—
1017C2×C42C22×D1111yescharacteristic
1018C2×C42C22×D1111yescharacteristic
1019#95—111no—
1020#95—111no—
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#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069#95C22×D1111yescharacteristic
1070#95C22×D1111yescharacteristic
1071#95C22×D1111yescharacteristic
1072#95C22×D1111yescharacteristic
1073#95C22×D1111yescharacteristic
1074#95C22×D1111yescharacteristic
1075C2×C11—42no—
1076C2×C11—81no—
1077C2×C11C2×#53911yescharacteristic
1078C2×C11#349111yescharacteristic
1079C2×C11#350511yescharacteristic
1080C2×C11#353511yescharacteristic
1081C2×C11#354211yescharacteristic
1082C2×C11#354511yescharacteristic
1083C2×C11#356411yescharacteristic
1084D11—24no—
1085D11—42no—
1086C24—111no—
1087C24—111no—
1088C24—114no—
1089C24—222no—
1090C24—222no—
1091C24—441no—
1092C24—441no—
1093C24—441no—
1094C24—441no—
1095C24C23×D1111yescharacteristic
1096C24C23×D1111yescharacteristic
1097C2×Q8—41no—
1098C2×Q8—41no—
1099C2×Q8—41no—
1100C2×D4—22no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—222no—
1104C2×D4—222no—
1105C2×D4—222no—
1106C2×D4—222no—
1107C2×D4—441no—
1108C2×D4—441no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—111no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—111no—
1119C22×C4—111no—
1120C22×C4—111no—
1121C22×C4—111no—
1122C22×C4—111no—
1123C22×C4—111no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—222no—
1127C22×C4—222no—
1128C22×C4—222no—
1129C22×C4—222no—
1130C22×C4—222no—
1131C22×C4—222no—
1132C22×C4—222no—
1133C22×C4—222no—
1134C22×C4—222no—
1135C22×C4—222no—
1136C22×C4—222no—
1137C22×C4—441no—
1138C22×C4—441no—
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—441no—
1150C22×C4—441no—
1151C22×C4—441no—
1152C22×C4—441no—
1153C22×C4—441no—
1154C22×C4—441no—
1155C22×C4—441no—
1156C22×C4C23×D1111yescharacteristic
1157C22×C4C23×D1111yescharacteristic
1158C22×C4C23×D1111yescharacteristic
1159C22×C4C23×D1111yescharacteristic
1160C22×C4C23×D1111yescharacteristic
1161C22×C4C23×D1111yescharacteristic
1162C22×C4C23×D1111yescharacteristic
1163C22×C4C23×D1111yescharacteristic
1164C22×C4C23×D1111yescharacteristic
1165C22×C4C23×D1111yescharacteristic
1166C22×C4C23×D1111yescharacteristic
1167C22×C4C23×D1111yescharacteristic
1168C22×C4C23×D1111yescharacteristic
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—222no—
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—
1191C4⋊C4—441no—
1192C4⋊C4—441no—
1193C4⋊C4—441no—
1194C4⋊C4—441no—
1195C4⋊C4—441no—
1196C4⋊C4—441no—
1197C4⋊C4—441no—
1198C4⋊C4—441no—
1199C4⋊C4—441no—
1200C4⋊C4—441no—
1201C4⋊C4—441no—
1202C4⋊C4—441no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—41no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—222no—
1217C22⋊C4—222no—
1218C22⋊C4—222no—
1219C22⋊C4—222no—
1220C22⋊C4—222no—
1221C22⋊C4—222no—
1222C22⋊C4—222no—
1223C22⋊C4—222no—
1224C22⋊C4—222no—
1225C22⋊C4—222no—
1226C22⋊C4—222no—
1227C22⋊C4—222no—
1228C22⋊C4—222no—
1229C22⋊C4—222no—
1230C22⋊C4—441no—
1231C22⋊C4—441no—
1232C22⋊C4—441no—
1233C22⋊C4—441no—
1234C22⋊C4—441no—
1235C22⋊C4—441no—
1236C22⋊C4—441no—
1237C22⋊C4—441no—
1238C22⋊C4—441no—
1239C22⋊C4—441no—
1240C22⋊C4—441no—
1241C22⋊C4—441no—
1242C22⋊C4—441no—
1243C22⋊C4—441no—
1244C22⋊C4—441no—
1245C42—22no—
1246C42—41no—
1247C42—222no—
1248C42—441no—
1249C42—441no—
1250C42—441no—
1251C42—441no—
1252C11#3678011yescharacteristic, complemented, Sylow
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—112no—
1267C23—112no—
1268C23—112no—
1269C23—112no—
1270C23—228no—
1271C23—221no—
1272C23—221no—
1273C23—221no—
1274C23—221no—
1275C23—221no—
1276C23—221no—
1277C23—221no—
1278C23—221no—
1279C23—221no—
1280C23—221no—
1281C23—444no—
1282C23—444no—
1283C23—882no—
1284C23—882no—
1285C23—882no—
1286C23—882no—
1287C23#41×D1112yes—
1288C23C24×D1111yescharacteristic
1289Q8—82no—
1290D4—82no—
1291D4—444no—
1292D4—882no—
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—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—82no—
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—221no—
1373C2×C4—221no—
1374C2×C4—444no—
1375C2×C4—444no—
1376C2×C4—444no—
1377C2×C4—444no—
1378C2×C4—882no—
1379C2×C4—882no—
1380C2×C4—882no—
1381C2×C4—882no—
1382C2×C4—882no—
1383C2×C4—882no—
1384C2×C4#6703712yes—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—114no—
1400C22—222no—
1401C22—222no—
1402C22—222no—
1403C22—222no—
1404C22—222no—
1405C22—222no—
1406C22—222no—
1407C22—222no—
1408C22—222no—
1409C22—441no—
1410C22—441no—
1411C22—441no—
1412C22—441no—
1413C22—888no—
1414C22C2×#6703711yescharacteristic
1415C22C2×#41×D1111yescharacteristic
1416C22#1062345311yescharacteristic
1417C22D11×H(5,𝔽2)11yescharacteristic
1418C22#1062345511yescharacteristic
1419C22D11×2−1+411yescharacteristic
1420C22#1062345711yescharacteristic
1421C4—22no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—441no—
1435C4—441no—
1436C4—441no—
1437C4—441no—
1438C4—441no—
1439C4—441no—
1440C4—441no—
1441C4—441no—
1442C4—441no—
1443C4—441no—
1444C4—441no—
1445C4—441no—
1446C4—441no—
1447C4—441no—
1448C2—42no—
1449C2—81no—
1450C2—224no—
1451C2—442no—
1452C2D11×#53911yescharacteristic
1453C2#1308230711yescharacteristic
1454C2#1308245211yescharacteristic
1455C2#1308281711yescharacteristic
1456C2#1308293411yescharacteristic
1457C2#1308296411yescharacteristic
1458C2#1308323111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2723C2
prime radicalC2×#66990C22
hypercenter#2723D11
hypocenterC11#36780
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2723

Complements

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

NH ≅ G/Ntype
1. #13076928C2semidirect
2. #13076925C2semidirect
3. #13076329C2semidirect
4. #13076294C2semidirect
5. #13076124C2semidirect
6. #13076117C2semidirect
7. #13075808C2semidirect
8. #13075798C2semidirect
9. #13075784C2semidirect
10. #13075771C2semidirect
11. #13075767C2semidirect
12. #13075762C2semidirect
13. #13075689C2semidirect
14. #13075664C2semidirect
15. #13075145C2semidirect
16. #13075141C2semidirect
17. #13075078C2semidirect
18. #13074428C2semidirect
19. #13074401C2semidirect
20. #13073116C2semidirect
21. #13073008C2semidirect
22. #13072893C2semidirect
23. #13072433C2semidirect
24. #13072279C2semidirect
25. #13072086C2semidirect
29. #13071227C2semidirect
30. D11×#388C2semidirect
31. C11×#2723C2semidirect
32. C2×C11×#126C22semidirect
38. C2×#66943C22semidirect
47. C11×#399C22semidirect
49. C11×#397C22semidirect
50. C11×#395C22semidirect
52. C11×#393C22semidirect
54. C11×#389C22semidirect
56. C11×#387C22semidirect
59. C11×#382C22semidirect
61. #10622843C22semidirect
62. #10622842C22semidirect
86. #10622599C22semidirect
87. #10622599C22semidirect
88. #10622599C22semidirect
89. #10622599C22semidirect
90. #10622597C22semidirect
91. #10622597C22semidirect
92. #10622597C22semidirect
93. #10622595C22semidirect
94. #10622594C22semidirect
95. #10622594C22semidirect
96. #10622594C22semidirect
97. #10622593C22semidirect
98. #10622593C22semidirect
99. #10622591C22semidirect
100. #10622591C22semidirect
101. #10622591C22semidirect
102. #10622590C22semidirect
118. #10622565C22semidirect
119. #10622565C22semidirect
120. #10622565C22semidirect
124. #10622563C22semidirect
125. #10622563C22semidirect
126. #10622562C22semidirect
127. #10622561C22semidirect
133. #10622557C22semidirect
134. #10622557C22semidirect
135. #10622557C22semidirect
136. #10622556C22semidirect
139. #10622555C22semidirect
143. #10622550C22semidirect
144. #10622546C22semidirect
145. #10622546C22semidirect
146. #10622541C22semidirect
167. C11⋊#401C22semidirect
168. #10622273C22semidirect
169. #10622273C22semidirect
170. #10622272C22semidirect
171. #10622272C22semidirect
172. #10622272C22semidirect
173. #10622271C22semidirect
174. #10622271C22semidirect
175. #10622270C22semidirect
176. #10622270C22semidirect
177. #10622270C22semidirect
178. #10622270C22semidirect
179. #10622267C22semidirect
180. #10622266C22semidirect
181. #10622266C22semidirect
182. #10622265C22semidirect
183. #10622265C22semidirect
184. #10622265C22semidirect
185. #10622264C22semidirect
186. #10622260C22semidirect
538. #2723D11semidirect
687. C2×#126C2×D11semidirect
717. #399C2×D11semidirect
738. #397C2×D11semidirect
743. #395C2×D11semidirect
749. #393C2×D11semidirect
755. #389C2×D11semidirect
785. #387C2×D11semidirect
819. #382C2×D11semidirect
1252. C11#36780semidirect

Maximal subgroups

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

subgroupindex
#130769282
#130769252
#130763292
#130762942
#130761242
#130761172
#130758082
#130757982
#130757842
#130757712
#130757672
#130757622
#130756892
#130756642
#130751452
#130751412
#130750782
#130744282
#130744012
#130731162
#130730082
#130728932
#130724332
#130722792
#130720862
#130720112
#130720072
#130712752
#130712272
D11×#3882
C11×#27232
#3678011