Finite Group Databasebeta

← #14960897

Subgroups — #14960897

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#13076907C211yesmaximal, characteristic, complemented
2#13076905C211yesmaximal, characteristic, complemented
3#13075807C211yesmaximal, characteristic, complemented
4#13075791C211yesmaximal, characteristic, complemented
5#13075765C211yesmaximal, characteristic, complemented
6#13075753C211yesmaximal, characteristic, complemented
7#13075720C211yesmaximal, characteristic, complemented
8#13075706C211yesmaximal, characteristic, complemented
9#13075682C211yesmaximal, characteristic, complemented
10#13075664C211yesmaximal, characteristic, complemented
11#13075322C211yesmaximal, characteristic, complemented
12#13075311C211yesmaximal, characteristic, complemented
13#13075295C211yesmaximal, characteristic, complemented
14#13075147C211yesmaximal, characteristic, complemented
15#13075137C211yesmaximal, characteristic, complemented
16#13075122C211yesmaximal, characteristic, complemented
17#13075033C211yesmaximal, characteristic, complemented
18#13074420C211yesmaximal, characteristic, complemented
19#13074349C211yesmaximal, characteristic
20#13073175C211yesmaximal, characteristic, complemented
21#13073112C211yesmaximal, characteristic, complemented
22#13072872C211yesmaximal, characteristic, complemented
23#13072761C211yesmaximal, characteristic, complemented
24#13072433C211yesmaximal, characteristic, complemented
25#13072422C211yesmaximal, characteristic, complemented
26#13072363C211yesmaximal, characteristic, complemented
27#13072344C211yesmaximal, characteristic, complemented
28#13071275C211yesmaximal, characteristic, complemented
29#13071272C211yesmaximal, characteristic, complemented
30D11×#380C211yesmaximal, characteristic, complemented
31C11×#2696C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C2×C11×C22⋊Q8C2211yescharacteristic, complemented
35C2×#66999C2211yescharacteristic
36C2×#66991C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×#66988C2211yescharacteristic
40C2×#66988C2211yescharacteristic, complemented
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×C4⋊C4×D11C2211yescharacteristic
43C2×C4⋊C4×D11C2211yescharacteristic
44C2×#66936C2211yescharacteristic
45C2×#66936C2211yescharacteristic
46C2×(C22⋊D11)⋊C4C2211yescharacteristic
47C2×C22⋊C4×D11C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×#66932C2211yescharacteristic, complemented
50C2×#66923C2211yescharacteristic, complemented
51C11×#400C2211yescharacteristic, complemented
52C11×#397C2211yescharacteristic, complemented
53C11×#394C2211yescharacteristic, complemented
54C11×#393C2211yescharacteristic
55C11×#393C2211yescharacteristic, complemented
56C11×#392C2211yescharacteristic
57C11×#390C2211yescharacteristic
58C11×#388C2211yescharacteristic, complemented
59C11×#387C2211yescharacteristic, complemented
60C11×#386C2211yescharacteristic
61C11×#386C2211yescharacteristic
62C11×#386C2211yescharacteristic, complemented
63C11×#380C2211yescharacteristic
64#10622844C2211yescharacteristic
65#10622843C2211yescharacteristic, complemented
66#10622842C2211yescharacteristic, complemented
67#10622836C2211yescharacteristic
68#10622835C2211yescharacteristic
69#10622835C2211yescharacteristic
70#10622835C2211yescharacteristic, complemented
71#10622834C2211yescharacteristic
72#10622833C2211yescharacteristic
73#10622833C2211yescharacteristic
74#10622826C2211yescharacteristic
75#10622825C2211yescharacteristic
76#10622824C2211yescharacteristic
77#10622824C2211yescharacteristic, complemented
78#10622823C2211yescharacteristic
79#10622823C2211yescharacteristic, complemented
80#10622603C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622600C2211yescharacteristic
87#10622600C2211yescharacteristic
88#10622597C2211yescharacteristic, complemented
89#10622597C2211yescharacteristic, complemented
90#10622596C2211yescharacteristic, complemented
91#10622596C2211yescharacteristic, complemented
92#10622595C2211yescharacteristic, complemented
93#10622595C2211yescharacteristic, complemented
94#10622594C2211yescharacteristic, complemented
95#10622586C2211yescharacteristic, complemented
96#10622585C2211yescharacteristic, complemented
97#10622585C2211yescharacteristic, complemented
98#10622572C2211yescharacteristic
99#10622572C2211yescharacteristic
100#10622571C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622568C2211yescharacteristic
114#10622568C2211yescharacteristic
115#10622566C2211yescharacteristic
116#10622566C2211yescharacteristic, complemented
117#10622565C2211yescharacteristic, complemented
118#10622565C2211yescharacteristic, complemented
119#10622565C2211yescharacteristic, complemented
120#10622565C2211yescharacteristic, complemented
121#10622564C2211yescharacteristic, complemented
122#10622564C2211yescharacteristic, complemented
123#10622563C2211yescharacteristic
124#10622563C2211yescharacteristic, complemented
125#10622563C2211yescharacteristic, complemented
126#10622562C2211yescharacteristic
127#10622562C2211yescharacteristic, complemented
128#10622562C2211yescharacteristic, complemented
129#10622561C2211yescharacteristic
130#10622561C2211yescharacteristic
131#10622561C2211yescharacteristic, complemented
132#10622561C2211yescharacteristic, complemented
133#10622561C2211yescharacteristic, complemented
134#10622558C2211yescharacteristic
135#10622558C2211yescharacteristic
136#10622557C2211yescharacteristic
137#10622557C2211yescharacteristic
138#10622557C2211yescharacteristic, complemented
139#10622557C2211yescharacteristic, complemented
140#10622556C2211yescharacteristic
141#10622555C2211yescharacteristic
142#10622555C2211yescharacteristic
143#10622555C2211yescharacteristic, complemented
144#10622553C2211yescharacteristic
145C4×(C2×D11)⋊C4C2211yescharacteristic
146#10622546C2211yescharacteristic, complemented
147#10622290C2211yescharacteristic
148#10622289C2211yescharacteristic
149#10622289C2211yescharacteristic
150#10622287C2211yescharacteristic
151#10622283C2211yescharacteristic
152#10622282C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622280C2211yescharacteristic
159#10622280C2211yescharacteristic
160#10622280C2211yescharacteristic
161#10622280C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622277C2211yescharacteristic
164#10622277C2211yescharacteristic
165D11×#95C2211yescharacteristic
166D11×#95C2211yescharacteristic
167C11⋊#401C2211yescharacteristic, complemented
168#10622274C2211yescharacteristic, complemented
169#10622273C2211yescharacteristic, complemented
170#10622273C2211yescharacteristic, complemented
171#10622273C2211yescharacteristic, complemented
172#10622271C2211yescharacteristic, complemented
173#10622271C2211yescharacteristic, complemented
174#10622271C2211yescharacteristic, complemented
175#10622270C2211yescharacteristic, complemented
176#10622270C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622268C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622264C2211yescharacteristic, complemented
186#10622263C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C22×C4×D11—24no—
201C22×C4×D11—42no—
202C22×C4×D11—42no—
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C11×#123—42no—
212C11×C22⋊Q8—42no—
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
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
249#66999—42no—
250#66991—42no—
251#66990—24no—
252#66990—24no—
253#66988—42no—
254#66988—42no—
255C4×C22⋊D11—42no—
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C4⋊C4×D11—42no—
307C4⋊C4×D11—42no—
308#66936—42no—
309#66936—42no—
310(C22⋊D11)⋊C4—42no—
311C22⋊C4×D11—42no—
312C22⋊C4×D11—42no—
313#66932—42no—
314#66923—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#36726—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C23×D11—22no—
368C23×D11—22no—
369C23×D11—41no—
370C23×D11—41no—
371C23×D11—41no—
372C23×D11—41no—
373C23×D11#4114yes—
374C23×D11C2411yescharacteristic
375C23×D11C2411yescharacteristic
376C2×Q8×C11—41no—
377C2×Q8×C11—41no—
378C2×Q8×C11—41no—
379C2×D4×C11—22no—
380C2×D4×C11—22no—
381C2×D4×C11—41no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C2×D4×C11—41no—
387C2×D4×C11—41no—
388C22×C4×C11—22no—
389C22×C4×C11—22no—
390C22×C4×C11—41no—
391C22×C4×C11—41no—
392C22×C4×C11—41no—
393C22×C4×C11—41no—
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C2×C22⋊D11—22no—
407C2×C22⋊D11—22no—
408C2×C22⋊D11—22no—
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11—22no—
412C2×C22⋊D11—22no—
413C2×C22⋊D11—22no—
414C2×C22⋊D11—41no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11—41no—
417C2×C22⋊D11—41no—
418C22×Dic11—22no—
419C22×Dic11—22no—
420C22×Dic11—41no—
421C22×Dic11—41no—
422C22×Dic11—41no—
423C22×Dic11—41no—
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—416no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—22no—
465C11×C4⋊C4—41no—
466C11×C4⋊C4—41no—
467C11×C4⋊C4—41no—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—22no—
470C11×C22⋊C4—41no—
471C11×C22⋊C4—41no—
472C11×C22⋊C4—41no—
473C11×C22⋊C4—41no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4—41no—
477C11×C22⋊C4—41no—
478C11×C22⋊C4—41no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4—41no—
481C42×C11—41no—
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—
499(C2×D11)⋊C4—22no—
500(C2×D11)⋊C4—22no—
501(C2×D11)⋊C4—22no—
502(C2×D11)⋊C4—22no—
503(C2×D11)⋊C4—22no—
504(C2×D11)⋊C4—22no—
505(C2×D11)⋊C4—22no—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—41no—
508(C2×D11)⋊C4—41no—
509(C2×D11)⋊C4—41no—
510(C2×D11)⋊C4—41no—
511(C2×D11)⋊C4—41no—
512(C2×D11)⋊C4—41no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4—41no—
515C4⋊Dic11—22no—
516C4⋊Dic11—22no—
517C4⋊Dic11—41no—
518C4⋊Dic11—41no—
519C4⋊Dic11—41no—
520C4⋊Dic11—41no—
521C4⋊Dic11—41no—
522C4⋊Dic11—41no—
523C4⋊Dic11—41no—
524Dic11⋊C4—22no—
525Dic11⋊C4—22no—
526Dic11⋊C4—22no—
527Dic11⋊C4—22no—
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—
543Dic11⋊C4—41no—
544C4×Dic11—41no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549#2849—111no—
550#2849—111no—
551#2746—111no—
552#2745—111no—
553#2744—111no—
554#2743—111no—
555#2740—111no—
556#2739—111no—
557#2738—111no—
558#2737—111no—
559#2707—111no—
560#2706—111no—
561#2705—111no—
562#2696D1111yescharacteristic, complemented
563#2695—111no—
564#2694—111no—
565#2693—111no—
566#2687—111no—
567#2626—111no—
568#2617—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×#380—111no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11C2×#4112yes—
601C23×C11C2511yescharacteristic
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—28no—
613C22×D11—44no—
614C22×D11—44no—
615C22×D11—44no—
616C22×D11—44no—
617C22×D11—44no—
618C22×D11—44no—
619C22×D11C2×#4112yes—
620C22×D11C2×#4112yes—
621C22×D11H(5,𝔽2)12yes—
622C22×D112−1+412yes—
623Q8×C11—82no—
624D4×C11—82no—
625D4×C11—82no—
626D4×C11—82no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—44no—
663C2×C4×C11—82no—
664C2×C4×C11H(5,𝔽2)12yes—
665C22⋊D11—44no—
666C22⋊D11—44no—
667C22⋊D11—82no—
668C22⋊D11—82no—
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—44no—
711C2×Dic11—82no—
712C2×Dic11H(5,𝔽2)12yes—
713C4×D11—28no—
714C4×D11—44no—
715C4×D11—44no—
716C4×D11—44no—
717C4×D11—82no—
718C4×D11—82no—
719C4×D11—82no—
720C4×D11—82no—
721C24×C4—111no—
722C2×#126—111no—
723C2×#125—111no—
724C2×#123—111no—
725C2×#123—111no—
726C2×#123—111no—
727C2×#123—111no—
728C2×#123C2×D1111yescharacteristic
729C2×C22⋊Q8—111no—
730C2×C22⋊Q8C2×D1111yescharacteristic, complemented
731C2×#121—111no—
732C2×#120—111no—
733C2×#120—111no—
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#400C2×D1111yescharacteristic, complemented
750#399—111no—
751#399—111no—
752#399—111no—
753#399—111no—
754#398—111no—
755#398—111no—
756#398—111no—
757#398—111no—
758#398—111no—
759#398—111no—
760#398—111no—
761#397—111no—
762#397—111no—
763#397—111no—
764#397—111no—
765#397—111no—
766#397—111no—
767#397—111no—
768#397C2×D1111yescharacteristic, complemented
769#396—111no—
770#396—111no—
771#396—111no—
772#396—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#394C2×D1111yescharacteristic, complemented
783#393—111no—
784#393C2×D1111yescharacteristic
785#393C2×D1111yescharacteristic, complemented
786#392—111no—
787#392C2×D1111yescharacteristic
788#391—111no—
789#390—111no—
790#390—111no—
791#390—111no—
792#390C2×D1111yescharacteristic
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#388C2×D1111yescharacteristic, complemented
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#387C2×D1111yescharacteristic, complemented
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#386—111no—
832#386—111no—
833#386—111no—
834#386C2×D1111yescharacteristic
835#386C2×D1111yescharacteristic
836#386C2×D1111yescharacteristic, complemented
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#383—111no—
853#382—111no—
854#381—111no—
855#381—111no—
856#381—111no—
857#381—111no—
858#381—111no—
859#380—111no—
860#380—111no—
861#380—111no—
862#380—111no—
863#380—111no—
864#380—111no—
865#380—111no—
866#380—111no—
867#380—111no—
868#380—111no—
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—41no—
880C22×C11—41no—
881C22×C11—41no—
882C22×C11—41no—
883C22×C11—41no—
884C22×C11—41no—
885C22×C11—41no—
886C22×C11—41no—
887C22×C11—41no—
888C22×C11—41no—
889C22×C11—41no—
890C22×C11—41no—
891C22×C11—41no—
892C22×C11—41no—
893C22×C11—41no—
894C22×C11—41no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11C22×#4111yescharacteristic
898C22×C11C2×H(5,𝔽2)11yescharacteristic
899C22×C11C2×H(5,𝔽2)11yescharacteristic
900C22×C11C2×H(5,𝔽2)11yescharacteristic
901C22×C11C2×2−1+411yescharacteristic
902C22×C11#58511yescharacteristic
903C22×C11#58511yescharacteristic
904C2×D11—22no—
905C2×D11—22no—
906C2×D11—22no—
907C2×D11—22no—
908C2×D11—22no—
909C2×D11—22no—
910C2×D11—22no—
911C2×D11—22no—
912C2×D11—22no—
913C2×D11—416no—
914C2×D11—41no—
915C2×D11—41no—
916C2×D11—41no—
917C2×D11—41no—
918C2×D11#53914yes—
919C4×C11—22no—
920C4×C11—41no—
921C4×C11—41no—
922C4×C11—41no—
923C4×C11—41no—
924C4×C11—41no—
925C4×C11—41no—
926C4×C11—41no—
927C4×C11—41no—
928C4×C11—41no—
929C4×C11—41no—
930C4×C11—41no—
931Dic11—22no—
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—
945C25—111no—
946C22×Q8C22×D1111yescharacteristic
947C22×D4—111no—
948C22×D4—111no—
949C22×D4—111no—
950C22×D4—111no—
951C22×D4C22×D1111yescharacteristic
952C22×D4C22×D1111yescharacteristic
953C22×D4C22×D1111yescharacteristic
954C23×C4—111no—
955C23×C4—111no—
956C23×C4—111no—
957C23×C4—111no—
958C23×C4—111no—
959C23×C4—111no—
960C23×C4—111no—
961C23×C4—111no—
962C23×C4—111no—
963C23×C4—111no—
964C23×C4—224no—
965C23×C4—442no—
966C23×C4—442no—
967C23×C4C22×D1111yescharacteristic
968C23×C4C22×D1111yescharacteristic
969#126—442no—
970#125—442no—
971#123—42no—
972#123—442no—
973#123—442no—
974#123—442no—
975#123—442no—
976C22⋊Q8—42no—
977C22⋊Q8—442no—
978#121—442no—
979#120—224no—
980#120—224no—
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—442no—
1013C2×C4⋊C4—442no—
1014C2×C4⋊C4C22×D1111yescharacteristic
1015C2×C4⋊C4C22×D1111yescharacteristic
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—442no—
1053C2×C22⋊C4—442no—
1054C2×C22⋊C4C22×D1111yescharacteristic
1055C2×C22⋊C4C22×D1111yescharacteristic
1056C2×C22⋊C4C22×D1111yescharacteristic
1057C2×C22⋊C4C22×D1111yescharacteristic
1058C2×C22⋊C4C22×D1111yescharacteristic
1059C2×C22⋊C4C22×D1111yescharacteristic
1060C2×C22⋊C4C22×D1111yescharacteristic
1061C2×C22⋊C4C22×D1111yescharacteristic
1062C2×C22⋊C4C22×D1111yescharacteristic
1063C2×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×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1112#95C22×D1111yescharacteristic
1113#95C22×D1111yescharacteristic
1114#95C22×D1111yescharacteristic
1115#95C22×D1111yescharacteristic
1116#95C22×D1111yescharacteristic
1117#95C22×D1111yescharacteristic
1118#95C22×D1111yescharacteristic
1119#95C22×D1111yescharacteristic
1120#95C22×D1111yescharacteristic
1121C2×C11—42no—
1122C2×C11—81no—
1123C2×C11—81no—
1124C2×C11C2×#53911yescharacteristic
1125C2×C11#349011yescharacteristic
1126C2×C11#349111yescharacteristic
1127C2×C11#354111yescharacteristic
1128C2×C11#354111yescharacteristic
1129C2×C11#354211yescharacteristic
1130C2×C11#354211yescharacteristic
1131D11—24no—
1132D11—42no—
1133C24—111no—
1134C24—111no—
1135C24—114no—
1136C24—222no—
1137C24—222no—
1138C24—441no—
1139C24—441no—
1140C24—441no—
1141C24—441no—
1142C24C23×D1111yescharacteristic
1143C24C23×D1111yescharacteristic
1144C24C23×D1111yescharacteristic
1145C2×Q8—41no—
1146C2×Q8—41no—
1147C2×Q8—41no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—222no—
1158C2×D4—222no—
1159C2×D4—222no—
1160C2×D4—222no—
1161C2×D4—222no—
1162C2×D4—222no—
1163C2×D4—222no—
1164C2×D4—222no—
1165C2×D4—441no—
1166C2×D4—441no—
1167C2×D4—441no—
1168C2×D4—441no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—111no—
1176C22×C4—111no—
1177C22×C4—111no—
1178C22×C4—111no—
1179C22×C4—111no—
1180C22×C4—111no—
1181C22×C4—111no—
1182C22×C4—111no—
1183C22×C4—111no—
1184C22×C4—111no—
1185C22×C4—111no—
1186C22×C4—111no—
1187C22×C4—111no—
1188C22×C4—111no—
1189C22×C4—222no—
1190C22×C4—222no—
1191C22×C4—222no—
1192C22×C4—222no—
1193C22×C4—222no—
1194C22×C4—222no—
1195C22×C4—222no—
1196C22×C4—222no—
1197C22×C4—222no—
1198C22×C4—222no—
1199C22×C4—222no—
1200C22×C4—222no—
1201C22×C4—222no—
1202C22×C4—222no—
1203C22×C4—441no—
1204C22×C4—441no—
1205C22×C4—441no—
1206C22×C4—441no—
1207C22×C4—441no—
1208C22×C4—441no—
1209C22×C4—441no—
1210C22×C4—441no—
1211C22×C4—441no—
1212C22×C4—441no—
1213C22×C4—441no—
1214C22×C4—441no—
1215C22×C4—4416no—
1216C22×C4—441no—
1217C22×C4—441no—
1218C22×C4—441no—
1219C22×C4—441no—
1220C22×C4C23×D1111yescharacteristic
1221C22×C4C23×D1111yescharacteristic
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—22no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—222no—
1238C4⋊C4—222no—
1239C4⋊C4—222no—
1240C4⋊C4—222no—
1241C4⋊C4—222no—
1242C4⋊C4—222no—
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—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—222no—
1280C22⋊C4—222no—
1281C22⋊C4—222no—
1282C22⋊C4—222no—
1283C22⋊C4—222no—
1284C22⋊C4—222no—
1285C22⋊C4—222no—
1286C22⋊C4—222no—
1287C22⋊C4—222no—
1288C22⋊C4—222no—
1289C22⋊C4—222no—
1290C22⋊C4—222no—
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—41no—
1313C42—441no—
1314C42—441no—
1315C42—441no—
1316C42—441no—
1317C42—441no—
1318C11#3672611yescharacteristic, complemented, Sylow
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—112no—
1340C23—112no—
1341C23—112no—
1342C23—112no—
1343C23—228no—
1344C23—221no—
1345C23—221no—
1346C23—221no—
1347C23—221no—
1348C23—221no—
1349C23—221no—
1350C23—221no—
1351C23—221no—
1352C23—221no—
1353C23—221no—
1354C23—444no—
1355C23—444no—
1356C23—444no—
1357C23—444no—
1358C23—444no—
1359C23—444no—
1360C23#41×D1112yes—
1361C23C24×D1111yescharacteristic
1362Q8—82no—
1363D4—82no—
1364D4—82no—
1365D4—82no—
1366D4—444no—
1367D4—444no—
1368D4—882no—
1369D4—882no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—44no—
1406C2×C4—82no—
1407C2×C4—112no—
1408C2×C4—228no—
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—444no—
1451C2×C4—444no—
1452C2×C4—444no—
1453C2×C4—444no—
1454C2×C4—882no—
1455C2×C4—882no—
1456C2×C4—882no—
1457C2×C4—882no—
1458C2×C4—882no—
1459C2×C4#6703712yes—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—114no—
1482C22—222no—
1483C22—222no—
1484C22—222no—
1485C22—222no—
1486C22—222no—
1487C22—222no—
1488C22—222no—
1489C22—222no—
1490C22—222no—
1491C22—4416no—
1492C22—441no—
1493C22—441no—
1494C22—441no—
1495C22—441no—
1496C22C2×#6703711yescharacteristic
1497C22C2×#41×D1111yescharacteristic
1498C22#1062345311yescharacteristic
1499C22D11×H(5,𝔽2)11yescharacteristic
1500C22D11×H(5,𝔽2)11yescharacteristic
1501C22#1062345511yescharacteristic
1502C22D11×2−1+411yescharacteristic
1503C4—22no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—222no—
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—42no—
1530C2—81no—
1531C2—81no—
1532C2—224no—
1533C2—442no—
1534C2D11×#53911yescharacteristic
1535C2#1308229811yescharacteristic
1536C2#1308230711yescharacteristic
1537C2#1308289811yescharacteristic
1538C2#1308290711yescharacteristic
1539C2#1308293111yescharacteristic
1540C2#1308293411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2696C2
prime radical#13074349C2
hypercenter#2696D11
hypocenterC11#36726
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2696

Complements

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

NH ≅ G/Ntype
1. #13076907C2semidirect
2. #13076905C2semidirect
3. #13075807C2semidirect
4. #13075791C2semidirect
5. #13075765C2semidirect
6. #13075753C2semidirect
7. #13075720C2semidirect
8. #13075706C2semidirect
9. #13075682C2semidirect
10. #13075664C2semidirect
11. #13075322C2semidirect
12. #13075311C2semidirect
13. #13075295C2semidirect
14. #13075147C2semidirect
15. #13075137C2semidirect
16. #13075122C2semidirect
17. #13075033C2semidirect
18. #13074420C2semidirect
20. #13073175C2semidirect
21. #13073112C2semidirect
22. #13072872C2semidirect
23. #13072761C2semidirect
24. #13072433C2semidirect
25. #13072422C2semidirect
26. #13072363C2semidirect
27. #13072344C2semidirect
28. #13071275C2semidirect
29. #13071272C2semidirect
30. D11×#380C2semidirect
31. C11×#2696C2semidirect
34. C2×C11×C22⋊Q8C22semidirect
40. C2×#66988C22semidirect
49. C2×#66932C22semidirect
50. C2×#66923C22semidirect
51. C11×#400C22semidirect
52. C11×#397C22semidirect
53. C11×#394C22semidirect
55. C11×#393C22semidirect
58. C11×#388C22semidirect
59. C11×#387C22semidirect
62. C11×#386C22semidirect
65. #10622843C22semidirect
66. #10622842C22semidirect
70. #10622835C22semidirect
77. #10622824C22semidirect
79. #10622823C22semidirect
88. #10622597C22semidirect
89. #10622597C22semidirect
90. #10622596C22semidirect
91. #10622596C22semidirect
92. #10622595C22semidirect
93. #10622595C22semidirect
94. #10622594C22semidirect
95. #10622586C22semidirect
96. #10622585C22semidirect
97. #10622585C22semidirect
116. #10622566C22semidirect
117. #10622565C22semidirect
118. #10622565C22semidirect
119. #10622565C22semidirect
120. #10622565C22semidirect
121. #10622564C22semidirect
122. #10622564C22semidirect
124. #10622563C22semidirect
125. #10622563C22semidirect
127. #10622562C22semidirect
128. #10622562C22semidirect
131. #10622561C22semidirect
132. #10622561C22semidirect
133. #10622561C22semidirect
138. #10622557C22semidirect
139. #10622557C22semidirect
143. #10622555C22semidirect
146. #10622546C22semidirect
167. C11⋊#401C22semidirect
168. #10622274C22semidirect
169. #10622273C22semidirect
170. #10622273C22semidirect
171. #10622273C22semidirect
172. #10622271C22semidirect
173. #10622271C22semidirect
174. #10622271C22semidirect
175. #10622270C22semidirect
176. #10622270C22semidirect
177. #10622268C22semidirect
178. #10622268C22semidirect
179. #10622268C22semidirect
180. #10622267C22semidirect
181. #10622267C22semidirect
182. #10622266C22semidirect
183. #10622265C22semidirect
184. #10622265C22semidirect
185. #10622264C22semidirect
186. #10622263C22semidirect
562. #2696D11semidirect
730. C2×C22⋊Q8C2×D11semidirect
749. #400C2×D11semidirect
768. #397C2×D11semidirect
782. #394C2×D11semidirect
785. #393C2×D11semidirect
808. #388C2×D11semidirect
819. #387C2×D11semidirect
836. #386C2×D11semidirect
1318. C11#36726semidirect

Maximal subgroups

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

subgroupindex
#130769072
#130769052
#130758072
#130757912
#130757652
#130757532
#130757202
#130757062
#130756822
#130756642
#130753222
#130753112
#130752952
#130751472
#130751372
#130751222
#130750332
#130744202
#130743492
#130731752
#130731122
#130728722
#130727612
#130724332
#130724222
#130723632
#130723442
#130712752
#130712722
D11×#3802
C11×#26962
#3672611