Finite Group Databasebeta

← #14962071

Subgroups — #14962071

Order 2816.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076906C211yesmaximal, characteristic, complemented
2#13076901C211yesmaximal, characteristic, complemented
3#13076287C211yesmaximal, characteristic, complemented
4#13075852C211yesmaximal, characteristic, complemented
5#13075806C211yesmaximal, characteristic, complemented
6#13075801C211yesmaximal, characteristic, complemented
7#13075762C211yesmaximal, characteristic, complemented
8#13075584C211yesmaximal, characteristic, complemented
9#13075332C211yesmaximal, characteristic, complemented
10#13075330C211yesmaximal, characteristic, complemented
11#13075309C211yesmaximal, characteristic, complemented
12#13075172C211yesmaximal, characteristic, complemented
13#13075144C211yesmaximal, characteristic, complemented
14#13075122C211yesmaximal, characteristic, complemented
15#13075121C211yesmaximal, characteristic, complemented
16#13075096C211yesmaximal, characteristic, complemented
17#13075035C211yesmaximal, characteristic, complemented
18#13074970C211yesmaximal, characteristic, complemented
19#13074589C211yesmaximal, characteristic, complemented
20#13074571C211yesmaximal, characteristic, complemented
21#13073119C211yesmaximal, characteristic, complemented
22#13072856C211yesmaximal, characteristic, complemented
23#13072434C211yesmaximal, characteristic, complemented
24#13072284C211yesmaximal, characteristic, complemented
25#13072011C211yesmaximal, characteristic, complemented
26#13071986C211yesmaximal, characteristic
27#13071941C211yesmaximal, characteristic, complemented
28#13071270C211yesmaximal, characteristic, complemented
29#13071227C211yesmaximal, characteristic, complemented
30C2×#10622571C211yesmaximal, characteristic, complemented
31C11×#2418C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C24×Dic11C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic, complemented
35C2×C11×#120C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic
37C22×C11×C22⋊C4C2211yescharacteristic
38C2×#66991C2211yescharacteristic
39C2×#66991C2211yescharacteristic
40C2×#66990C2211yescharacteristic
41C2×#66988C2211yescharacteristic, complemented
42C2×#66988C2211yescharacteristic, complemented
43C22×(C2×D11)⋊C4C2211yescharacteristic
44C22×(C2×D11)⋊C4C2211yescharacteristic
45C2×#66949C2211yescharacteristic, complemented
46C2×#66936C2211yescharacteristic
47C2×#66936C2211yescharacteristic
48C2×#66936C2211yescharacteristic, complemented
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×#66932C2211yescharacteristic, complemented
52C2×#66931C2211yescharacteristic
53C2×#66931C2211yescharacteristic, complemented
54C2×#66931C2211yescharacteristic, complemented
55C11×#399C2211yescharacteristic, complemented
56C11×#397C2211yescharacteristic, complemented
57C11×#394C2211yescharacteristic, complemented
58C11×#394C2211yescharacteristic, complemented
59C11×#388C2211yescharacteristic, complemented
60C11×#388C2211yescharacteristic, complemented
61C11×#386C2211yescharacteristic
62C11×#386C2211yescharacteristic, complemented
63C11×#385C2211yescharacteristic
64C11×#380C2211yescharacteristic
65C11×#379C2211yescharacteristic
66#10622860C2211yescharacteristic
67#10622860C2211yescharacteristic
68#10622836C2211yescharacteristic
69#10622836C2211yescharacteristic
70#10622833C2211yescharacteristic
71#10622833C2211yescharacteristic
72#10622833C2211yescharacteristic
73#10622833C2211yescharacteristic, complemented
74#10622833C2211yescharacteristic, complemented
75#10622826C2211yescharacteristic, complemented
76#10622826C2211yescharacteristic, complemented
77#10622825C2211yescharacteristic
78#10622825C2211yescharacteristic, complemented
79#10622823C2211yescharacteristic
80#10622823C2211yescharacteristic
81#10622823C2211yescharacteristic, complemented
82C4×C22⋊Dic11C2211yescharacteristic
83C2×C11⋊#95C2211yescharacteristic
84C2×C11⋊#95C2211yescharacteristic
85#10622607C2211yescharacteristic, complemented
86#10622605C2211yescharacteristic, complemented
87#10622603C2211yescharacteristic, complemented
88#10622603C2211yescharacteristic, complemented
89#10622602C2211yescharacteristic, complemented
90#10622602C2211yescharacteristic, complemented
91#10622602C2211yescharacteristic, complemented
92#10622600C2211yescharacteristic, complemented
93#10622600C2211yescharacteristic, complemented
94#10622599C2211yescharacteristic, complemented
95#10622599C2211yescharacteristic, complemented
96#10622599C2211yescharacteristic, complemented
97#10622597C2211yescharacteristic, complemented
98#10622597C2211yescharacteristic, complemented
99#10622597C2211yescharacteristic, complemented
100#10622596C2211yescharacteristic, complemented
101#10622595C2211yescharacteristic, complemented
102#10622594C2211yescharacteristic, complemented
103#10622591C2211yescharacteristic, complemented
104#10622574C2211yescharacteristic
105#10622574C2211yescharacteristic
106#10622574C2211yescharacteristic
107#10622574C2211yescharacteristic
108#10622574C2211yescharacteristic, complemented
109#10622572C2211yescharacteristic
110#10622572C2211yescharacteristic
111#10622572C2211yescharacteristic, complemented
112#10622571C2211yescharacteristic
113#10622571C2211yescharacteristic
114#10622571C2211yescharacteristic
115#10622571C2211yescharacteristic
116#10622571C2211yescharacteristic
117#10622571C2211yescharacteristic
118#10622571C2211yescharacteristic
119#10622571C2211yescharacteristic
120#10622570C2211yescharacteristic, complemented
121#10622570C2211yescharacteristic, complemented
122#10622569C2211yescharacteristic
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic, complemented
127#10622568C2211yescharacteristic
128#10622566C2211yescharacteristic, complemented
129#10622566C2211yescharacteristic, complemented
130#10622565C2211yescharacteristic, complemented
131#10622565C2211yescharacteristic, complemented
132#10622565C2211yescharacteristic, complemented
133#10622565C2211yescharacteristic, complemented
134#10622564C2211yescharacteristic, complemented
135#10622563C2211yescharacteristic
136#10622563C2211yescharacteristic
137#10622563C2211yescharacteristic
138#10622563C2211yescharacteristic, complemented
139#10622563C2211yescharacteristic, complemented
140#10622561C2211yescharacteristic, complemented
141#10622561C2211yescharacteristic, complemented
142#10622561C2211yescharacteristic, complemented
143#10622560C2211yescharacteristic, complemented
144#10622559C2211yescharacteristic
145#10622559C2211yescharacteristic
146#10622559C2211yescharacteristic
147#10622559C2211yescharacteristic
148#10622559C2211yescharacteristic, complemented
149#10622559C2211yescharacteristic, complemented
150#10622559C2211yescharacteristic, complemented
151#10622559C2211yescharacteristic, complemented
152#10622558C2211yescharacteristic, complemented
153#10622557C2211yescharacteristic, complemented
154#10622556C2211yescharacteristic, complemented
155#10622556C2211yescharacteristic, complemented
156#10622555C2211yescharacteristic
157#10622555C2211yescharacteristic, complemented
158#10622555C2211yescharacteristic, complemented
159#10622553C2211yescharacteristic, complemented
160#10622553C2211yescharacteristic, complemented
161#10622546C2211yescharacteristic, complemented
162#10622542C2211yescharacteristic, complemented
163#10622289C2211yescharacteristic, complemented
164#10622288C2211yescharacteristic, complemented
165#10622287C2211yescharacteristic, complemented
166#10622286C2211yescharacteristic, complemented
167#10622281C2211yescharacteristic, complemented
168#10622281C2211yescharacteristic, complemented
169#10622281C2211yescharacteristic, complemented
170#10622281C2211yescharacteristic, complemented
171#10622280C2211yescharacteristic, complemented
172#10622280C2211yescharacteristic, complemented
173#10622280C2211yescharacteristic, complemented
174#10622277C2211yescharacteristic, complemented
175C11⋊#401C2211yescharacteristic, complemented
176#10622274C2211yescharacteristic, complemented
177#10622274C2211yescharacteristic, complemented
178#10622273C2211yescharacteristic, complemented
179#10622273C2211yescharacteristic, complemented
180#10622273C2211yescharacteristic, complemented
181#10622272C2211yescharacteristic, complemented
182#10622272C2211yescharacteristic, complemented
183#10622271C2211yescharacteristic, complemented
184#10622271C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11—24no—
196C22×C22⋊D11—42no—
197C22×C22⋊D11—42no—
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C23×Dic11—42no—
205C23×Dic11—42no—
206C23×Dic11—42no—
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×Dic22C2311yescharacteristic
219C11×#123—42no—
220C11×#120—42no—
221C4×D4×C11—42no—
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4—42no—
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263#66991—42no—
264#66991—42no—
265#66990—24no—
266#66988—42no—
267#66988—42no—
268C2×(C2×D11)⋊C4—42no—
269C2×(C2×D11)⋊C4—42no—
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315#66949—42no—
316#66936—42no—
317#66936—42no—
318#66936—42no—
319C22⋊C4×D11—24no—
320C22⋊C4×D11—42no—
321#66932—42no—
322#66931—42no—
323#66931—42no—
324#66931—42no—
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
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369#36775—111nomaximal, Sylow
370C24×C11—22no—
371C24×C11—22no—
372C24×C11—22no—
373C24×C11—22no—
374C24×C11—22no—
375C24×C11—41no—
376C24×C11—41no—
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C24×C11C2411yescharacteristic
381C23×D11—22no—
382C23×D11—22no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11—41no—
387C23×D11#4114yes—
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C2×D4×C11—22no—
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—41no—
396C2×D4×C11—41no—
397C2×D4×C11—41no—
398C2×D4×C11—41no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11—41no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—416no—
438C22×Dic11—22no—
439C22×Dic11—22no—
440C22×Dic11—22no—
441C22×Dic11—22no—
442C22×Dic11—22no—
443C22×Dic11—22no—
444C22×Dic11—22no—
445C22×Dic11—22no—
446C22×Dic11—41no—
447C22×Dic11—41no—
448C22×Dic11—41no—
449C22×Dic11—41no—
450C22×Dic11—41no—
451C22×Dic11—41no—
452C22×Dic11—41no—
453C22×Dic11—41no—
454C22×Dic11—41no—
455C22×Dic11—41no—
456C22×Dic11—41no—
457C22×Dic11—41no—
458C22×Dic11—41no—
459C22×Dic11—416no—
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C2×C4×D11—22no—
475C2×C4×D11—22no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×Dic22—22no—
487C2×Dic22—41no—
488C2×Dic22—41no—
489C11×C4⋊C4—41no—
490C11×C4⋊C4—41no—
491C11×C4⋊C4—41no—
492C11×C4⋊C4—41no—
493C11×C4⋊C4—41no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—41no—
502C11×C22⋊C4—41no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4—41no—
505C11×C22⋊C4—41no—
506C11×C22⋊C4—41no—
507C11×C22⋊C4—41no—
508C11×C22⋊C4—41no—
509C11×C22⋊C4—41no—
510C42×C11—41no—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—22no—
518C22⋊Dic11—22no—
519C22⋊Dic11—22no—
520C22⋊Dic11—41no—
521C22⋊Dic11—41no—
522C22⋊Dic11—41no—
523C22⋊Dic11—41no—
524C22⋊Dic11—41no—
525C22⋊Dic11—41no—
526C22⋊Dic11—41no—
527C22⋊Dic11—41no—
528C22⋊Dic11—41no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—41no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547C4⋊Dic11—41no—
548C4⋊Dic11—41no—
549C4⋊Dic11—41no—
550C4⋊Dic11—41no—
551C4⋊Dic11—41no—
552C4⋊Dic11—41no—
553C4⋊Dic11—41no—
554C4⋊Dic11—41no—
555C4⋊Dic11—41no—
556Dic11⋊C4—22no—
557Dic11⋊C4—22no—
558Dic11⋊C4—41no—
559Dic11⋊C4—41no—
560Dic11⋊C4—41no—
561Dic11⋊C4—41no—
562Dic11⋊C4—41no—
563Dic11⋊C4—41no—
564Dic11⋊C4—41no—
565Dic11⋊C4—41no—
566Dic11⋊C4—41no—
567Dic11⋊C4—41no—
568Dic11⋊C4—41no—
569Dic11⋊C4—41no—
570Dic11⋊C4—41no—
571Dic11⋊C4—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574#2849—111no—
575#2848—111no—
576#2782—111no—
577#2750—111no—
578#2746—111no—
579#2746—111no—
580#2743—111no—
581#2728—111no—
582#2708—111no—
583#2708—111no—
584#2706—111no—
585#2696—111no—
586#2695—111no—
587#2693—111no—
588#2693—111no—
589#2691—111no—
590#2687—111no—
591#2681—111no—
592#2646—111no—
593#2643—111no—
594#2505—111no—
595#2480—111no—
596#2450—111no—
597#2437—111no—
598#2418D1111yescharacteristic, complemented
599#2412—111no—
600#2410—111no—
601#2405—111no—
602#2321—111no—
603#2315—111no—
604C2×#386—111no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—28no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—44no—
630C23×C11—44no—
631C23×C11—44no—
632C23×C11—44no—
633C23×C11—44no—
634C23×C11—44no—
635C23×C11C2×#4112yes—
636C23×C11H(5,𝔽2)12yes—
637C23×C11H(5,𝔽2)12yes—
638C23×C11H(5,𝔽2)12yes—
639C23×C112−1+412yes—
640C23×C11C2511yescharacteristic
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—28no—
654C22×D11—44no—
655C22×D11—44no—
656C22×D11—82no—
657C22×D11—82no—
658C22×D11—82no—
659C22×D11—82no—
660C22×D11C2×#4112yes—
661C22×D11C2×#4112yes—
662D4×C11—44no—
663D4×C11—82no—
664D4×C11—82no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—82no—
699C2×C4×C11—82no—
700C2×C4×C11—82no—
701C22⋊D11—44no—
702C22⋊D11—44no—
703C22⋊D11—44no—
704C22⋊D11—44no—
705C22⋊D11—82no—
706C22⋊D11—82no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—44no—
749C2×Dic11—44no—
750C2×Dic11—44no—
751C2×Dic11—44no—
752C2×Dic11—44no—
753C2×Dic11—44no—
754C2×Dic11—44no—
755C2×Dic11H(5,𝔽2)12yes—
756C4×D11—82no—
757C4×D11—82no—
758C4×D11—82no—
759C4×D11—82no—
760Dic22—82no—
761C23×D4—111no—
762C24×C4—111no—
763C2×#126—111no—
764C2×#123—111no—
765C2×#123—111no—
766C2×#123—111no—
767C2×#123—111no—
768C2×#123—111no—
769C2×#123C2×D1111yescharacteristic, complemented
770C2×C22⋊Q8—111no—
771C2×C22⋊Q8—111no—
772C2×C22⋊Q8—111no—
773C2×C22⋊Q8—111no—
774C2×#121—111no—
775C2×#121—111no—
776C2×#120—111no—
777C2×#120C2×D1111yescharacteristic
778C2×C4×D4C2×D1111yescharacteristic
779C22×C22⋊C4—111no—
780C22×C22⋊C4—111no—
781C22×C22⋊C4—111no—
782C22×C22⋊C4—111no—
783C22×C22⋊C4C2×D1111yescharacteristic
784#401—111no—
785#400—111no—
786#400—111no—
787#400—111no—
788#400—111no—
789#400—111no—
790#400—111no—
791#400—111no—
792#400—111no—
793#400—111no—
794#400—111no—
795#400—111no—
796#399—111no—
797#399C2×D1111yescharacteristic, complemented
798#398—111no—
799#398—111no—
800#398—111no—
801#398—111no—
802#398—111no—
803#398—111no—
804#397—111no—
805#397—111no—
806#397—111no—
807#397—111no—
808#397—111no—
809#397—111no—
810#397—111no—
811#397—111no—
812#397C2×D1111yescharacteristic, complemented
813#396—111no—
814#396—111no—
815#396—111no—
816#396—111no—
817#396—111no—
818#394—111no—
819#394—111no—
820#394—111no—
821#394—111no—
822#394—111no—
823#394—111no—
824#394—111no—
825#394—111no—
826#394C2×D1111yescharacteristic, complemented
827#394C2×D1111yescharacteristic, complemented
828#393—111no—
829#393—111no—
830#392—111no—
831#392—111no—
832#391—111no—
833#390—111no—
834#390—111no—
835#389—111no—
836#388—111no—
837#388—111no—
838#388—111no—
839#388—111no—
840#388—111no—
841#388—111no—
842#388—111no—
843#388C2×D1111yescharacteristic, complemented
844#388C2×D1111yescharacteristic, complemented
845#387—111no—
846#387—111no—
847#387—111no—
848#386—111no—
849#386—111no—
850#386—111no—
851#386—111no—
852#386—111no—
853#386—111no—
854#386—111no—
855#386—111no—
856#386—111no—
857#386—111no—
858#386—111no—
859#386—111no—
860#386—111no—
861#386—111no—
862#386—111no—
863#386—111no—
864#386—111no—
865#386—111no—
866#386—111no—
867#386—111no—
868#386C2×D1111yescharacteristic
869#386C2×D1111yescharacteristic, complemented
870#385—111no—
871#385—111no—
872#385—111no—
873#385—111no—
874#385—111no—
875#385—111no—
876#385—111no—
877#385—111no—
878#385—111no—
879#385—111no—
880#385—111no—
881#385—111no—
882#385—111no—
883#385—111no—
884#385—111no—
885#385—111no—
886#385—111no—
887#385—111no—
888#385—111no—
889#385—111no—
890#385—111no—
891#385—111no—
892#385—111no—
893#385C2×D1111yescharacteristic
894#382—111no—
895#381—111no—
896#381—111no—
897#381—111no—
898#380—111no—
899#380—111no—
900#380—111no—
901#380—111no—
902#380—111no—
903#380—111no—
904#380—111no—
905#380—111no—
906#380—111no—
907#380—111no—
908#380C2×D1111yescharacteristic
909#379—111no—
910#379—111no—
911#379—111no—
912#379C2×D1111yescharacteristic
913C4×C22⋊C4—111no—
914C2×#95—111no—
915C2×#95—111no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—22no—
925C22×C11—22no—
926C22×C11—22no—
927C22×C11—22no—
928C22×C11—416no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11#53914yes—
945C22×C11C22×#4111yescharacteristic
946C22×C11C2×H(5,𝔽2)11yescharacteristic
947C22×C11C2×H(5,𝔽2)11yescharacteristic
948C22×C11C2×H(5,𝔽2)11yescharacteristic
949C22×C11C2×H(5,𝔽2)11yescharacteristic
950C22×C11C2×2−1+411yescharacteristic
951C22×C11#58511yescharacteristic
952C2×D11—22no—
953C2×D11—22no—
954C2×D11—22no—
955C2×D11—22no—
956C2×D11—22no—
957C2×D11—22no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—88no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977C4×C11—41no—
978Dic11—22no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990Dic11—41no—
991Dic11—41no—
992C25—111no—
993C25C22×D1111yescharacteristic
994C22×Q8—111no—
995C22×D4—111no—
996C22×D4—111no—
997C22×D4—111no—
998C22×D4—111no—
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4—224no—
1002C22×D4—442no—
1003C22×D4—442no—
1004C22×D4C22×D1111yescharacteristic
1005C22×D4C22×D1111yescharacteristic
1006C22×D4C22×D1111yescharacteristic
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4—111no—
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4—111no—
1016C23×C4—111no—
1017C23×C4—111no—
1018C23×C4—442no—
1019C23×C4—442no—
1020C23×C4—442no—
1021C23×C4C22×D1111yescharacteristic
1022C23×C4C22×D1111yescharacteristic
1023C23×C4C22×D1111yescharacteristic
1024#126—442no—
1025#123—42no—
1026#123—442no—
1027#123—442no—
1028#123—442no—
1029#123—442no—
1030#123—442no—
1031C22⋊Q8—442no—
1032C22⋊Q8—442no—
1033C22⋊Q8—442no—
1034C22⋊Q8—442no—
1035#121—442no—
1036#121—442no—
1037#120—42no—
1038#120—224no—
1039C4×D4—42no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4C22×D1111yescharacteristic
1066C2×C4⋊C4C22×D1111yescharacteristic
1067C2×C4⋊C4C22×D1111yescharacteristic
1068C2×C4⋊C4C22×D1111yescharacteristic
1069C2×C4⋊C4C22×D1111yescharacteristic
1070C2×C22⋊C4—42no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—224no—
1108C2×C22⋊C4—442no—
1109C2×C22⋊C4—442no—
1110C2×C22⋊C4—442no—
1111C2×C22⋊C4C22×D1111yescharacteristic
1112C2×C22⋊C4C22×D1111yescharacteristic
1113C2×C22⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C22⋊C4C22×D1111yescharacteristic
1117C2×C22⋊C4C22×D1111yescharacteristic
1118C2×C22⋊C4C22×D1111yescharacteristic
1119C2×C22⋊C4C22×D1111yescharacteristic
1120C2×C22⋊C4C22×D1111yescharacteristic
1121C2×C22⋊C4C22×D1111yescharacteristic
1122C2×C22⋊C4C22×D1111yescharacteristic
1123C2×C22⋊C4C22×D1111yescharacteristic
1124C2×C22⋊C4C22×D1111yescharacteristic
1125C2×C22⋊C4C22×D1111yescharacteristic
1126C2×C22⋊C4C22×D1111yescharacteristic
1127C2×C42—111no—
1128C2×C42—111no—
1129C2×C42C22×D1111yescharacteristic
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95C22×D1111yescharacteristic
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172#95C22×D1111yescharacteristic
1173#95C22×D1111yescharacteristic
1174C2×C11—24no—
1175C2×C11—42no—
1176C2×C11—42no—
1177C2×C11—81no—
1178C2×C11C2×#53911yescharacteristic
1179C2×C11#349011yescharacteristic
1180C2×C11#350511yescharacteristic
1181C2×C11#353211yescharacteristic
1182C2×C11#353411yescharacteristic
1183C2×C11#353511yescharacteristic
1184C2×C11#353611yescharacteristic
1185D11—42no—
1186D11—42no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—41no—
1193C24—41no—
1194C24—111no—
1195C24—111no—
1196C24—114no—
1197C24—222no—
1198C24—222no—
1199C24—441no—
1200C24—441no—
1201C24—441no—
1202C24—441no—
1203C24C23×D1111yescharacteristic
1204C24C23×D1111yescharacteristic
1205C24C23×D1111yescharacteristic
1206C24C23×D1111yescharacteristic
1207C2×Q8—222no—
1208C2×Q8—441no—
1209C2×Q8—441no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—222no—
1220C2×D4—222no—
1221C2×D4—222no—
1222C2×D4—222no—
1223C2×D4—222no—
1224C2×D4—222no—
1225C2×D4—222no—
1226C2×D4—222no—
1227C2×D4—222no—
1228C2×D4—222no—
1229C2×D4—441no—
1230C2×D4—441no—
1231C2×D4—441no—
1232C2×D4—441no—
1233C2×D4—441no—
1234C2×D4—441no—
1235C2×D4—441no—
1236C2×D4—441no—
1237C2×D4—4416no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—111no—
1250C22×C4—111no—
1251C22×C4—111no—
1252C22×C4—111no—
1253C22×C4—111no—
1254C22×C4—111no—
1255C22×C4—111no—
1256C22×C4—111no—
1257C22×C4—111no—
1258C22×C4—111no—
1259C22×C4—111no—
1260C22×C4—111no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—222no—
1269C22×C4—222no—
1270C22×C4—222no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4—441no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4—441no—
1291C22×C4—441no—
1292C22×C4—441no—
1293C22×C4—441no—
1294C22×C4—4416no—
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C22×C4C23×D1111yescharacteristic
1304C22×C4C23×D1111yescharacteristic
1305C22×C4C23×D1111yescharacteristic
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—222no—
1312C4⋊C4—222no—
1313C4⋊C4—441no—
1314C4⋊C4—441no—
1315C4⋊C4—441no—
1316C4⋊C4—441no—
1317C4⋊C4—441no—
1318C4⋊C4—441no—
1319C4⋊C4—441no—
1320C4⋊C4—441no—
1321C4⋊C4—441no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C4⋊C4—441no—
1328C4⋊C4—441no—
1329C4⋊C4—441no—
1330C4⋊C4—441no—
1331C4⋊C4—441no—
1332C4⋊C4—441no—
1333C4⋊C4—441no—
1334C4⋊C4—441no—
1335C4⋊C4—441no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
1359C22⋊C4—222no—
1360C22⋊C4—222no—
1361C22⋊C4—222no—
1362C22⋊C4—222no—
1363C22⋊C4—222no—
1364C22⋊C4—222no—
1365C22⋊C4—222no—
1366C22⋊C4—222no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4—441no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C22⋊C4—441no—
1373C22⋊C4—441no—
1374C22⋊C4—441no—
1375C22⋊C4—441no—
1376C22⋊C4—441no—
1377C22⋊C4—441no—
1378C22⋊C4—441no—
1379C22⋊C4—441no—
1380C22⋊C4—441no—
1381C22⋊C4—441no—
1382C22⋊C4—441no—
1383C22⋊C4—441no—
1384C22⋊C4—441no—
1385C22⋊C4—441no—
1386C22⋊C4—441no—
1387C22⋊C4—441no—
1388C42—41no—
1389C42—441no—
1390C42—441no—
1391C11#3677511yescharacteristic, complemented, Sylow
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—28no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—112no—
1423C23—112no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—221no—
1431C23—221no—
1432C23—221no—
1433C23—221no—
1434C23—221no—
1435C23—221no—
1436C23—228no—
1437C23—444no—
1438C23—444no—
1439C23—882no—
1440C23—882no—
1441C23—882no—
1442C23—882no—
1443C23#6703712yes—
1444C23#6703712yes—
1445C23#41×D1112yes—
1446C23#6704212yes—
1447C23#6704312yes—
1448C23C24×D1111yescharacteristic
1449Q8—882no—
1450D4—44no—
1451D4—82no—
1452D4—82no—
1453D4—444no—
1454D4—444no—
1455D4—444no—
1456D4—444no—
1457D4—882no—
1458D4—882no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—82no—
1493C2×C4—82no—
1494C2×C4—82no—
1495C2×C4—112no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—444no—
1538C2×C4—444no—
1539C2×C4—444no—
1540C2×C4—444no—
1541C2×C4—444no—
1542C2×C4—444no—
1543C2×C4—444no—
1544C2×C4—882no—
1545C2×C4—882no—
1546C2×C4—882no—
1547C2×C4—882no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—416no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—222no—
1577C22—222no—
1578C22—222no—
1579C22—222no—
1580C22—222no—
1581C22—222no—
1582C22—441no—
1583C22—441no—
1584C22—441no—
1585C22—441no—
1586C22—441no—
1587C22—441no—
1588C22—441no—
1589C22—441no—
1590C22—888no—
1591C22#1062319114yes—
1592C22C2×#6703711yescharacteristic
1593C22C2×#6703711yescharacteristic
1594C22C2×#41×D1111yescharacteristic
1595C22C2×#6704211yescharacteristic
1596C22C2×#6704311yescharacteristic
1597C22D11×H(5,𝔽2)11yescharacteristic
1598C22#1062345511yescharacteristic
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—222no—
1611C4—441no—
1612C4—441no—
1613C4—441no—
1614C4—441no—
1615C4—441no—
1616C4—441no—
1617C4—441no—
1618C4—441no—
1619C4—441no—
1620C4—441no—
1621C4—441no—
1622C4—441no—
1623C4—441no—
1624C2—24no—
1625C2—42no—
1626C2—42no—
1627C2—81no—
1628C2—442no—
1629C2—442no—
1630C2C2×#1062319111yescharacteristic
1631C2#1308229911yescharacteristic
1632C2#1308245411yescharacteristic
1633C2#1308276511yescharacteristic
1634C2#1308279411yescharacteristic
1635C2#1308282111yescharacteristic
1636C2#1308283111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2418C2
prime radical#13071986C2
hypercenter#2418D11
hypocenterC11#36775
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. #13076906C2semidirect
2. #13076901C2semidirect
3. #13076287C2semidirect
4. #13075852C2semidirect
5. #13075806C2semidirect
6. #13075801C2semidirect
7. #13075762C2semidirect
8. #13075584C2semidirect
9. #13075332C2semidirect
10. #13075330C2semidirect
11. #13075309C2semidirect
12. #13075172C2semidirect
13. #13075144C2semidirect
14. #13075122C2semidirect
15. #13075121C2semidirect
16. #13075096C2semidirect
17. #13075035C2semidirect
18. #13074970C2semidirect
19. #13074589C2semidirect
20. #13074571C2semidirect
21. #13073119C2semidirect
22. #13072856C2semidirect
23. #13072434C2semidirect
24. #13072284C2semidirect
25. #13072011C2semidirect
27. #13071941C2semidirect
28. #13071270C2semidirect
29. #13071227C2semidirect
30. C2×#10622571C2semidirect
31. C11×#2418C2semidirect
34. C2×C11×#123C22semidirect
41. C2×#66988C22semidirect
42. C2×#66988C22semidirect
45. C2×#66949C22semidirect
48. C2×#66936C22semidirect
51. C2×#66932C22semidirect
53. C2×#66931C22semidirect
54. C2×#66931C22semidirect
55. C11×#399C22semidirect
56. C11×#397C22semidirect
57. C11×#394C22semidirect
58. C11×#394C22semidirect
59. C11×#388C22semidirect
60. C11×#388C22semidirect
62. C11×#386C22semidirect
73. #10622833C22semidirect
74. #10622833C22semidirect
75. #10622826C22semidirect
76. #10622826C22semidirect
78. #10622825C22semidirect
81. #10622823C22semidirect
85. #10622607C22semidirect
86. #10622605C22semidirect
87. #10622603C22semidirect
88. #10622603C22semidirect
89. #10622602C22semidirect
90. #10622602C22semidirect
91. #10622602C22semidirect
92. #10622600C22semidirect
93. #10622600C22semidirect
94. #10622599C22semidirect
95. #10622599C22semidirect
96. #10622599C22semidirect
97. #10622597C22semidirect
98. #10622597C22semidirect
99. #10622597C22semidirect
100. #10622596C22semidirect
101. #10622595C22semidirect
102. #10622594C22semidirect
103. #10622591C22semidirect
108. #10622574C22semidirect
111. #10622572C22semidirect
120. #10622570C22semidirect
121. #10622570C22semidirect
126. #10622569C22semidirect
128. #10622566C22semidirect
129. #10622566C22semidirect
130. #10622565C22semidirect
131. #10622565C22semidirect
132. #10622565C22semidirect
133. #10622565C22semidirect
134. #10622564C22semidirect
138. #10622563C22semidirect
139. #10622563C22semidirect
140. #10622561C22semidirect
141. #10622561C22semidirect
142. #10622561C22semidirect
143. #10622560C22semidirect
148. #10622559C22semidirect
149. #10622559C22semidirect
150. #10622559C22semidirect
151. #10622559C22semidirect
152. #10622558C22semidirect
153. #10622557C22semidirect
154. #10622556C22semidirect
155. #10622556C22semidirect
157. #10622555C22semidirect
158. #10622555C22semidirect
159. #10622553C22semidirect
160. #10622553C22semidirect
161. #10622546C22semidirect
162. #10622542C22semidirect
163. #10622289C22semidirect
164. #10622288C22semidirect
165. #10622287C22semidirect
166. #10622286C22semidirect
167. #10622281C22semidirect
168. #10622281C22semidirect
169. #10622281C22semidirect
170. #10622281C22semidirect
171. #10622280C22semidirect
172. #10622280C22semidirect
173. #10622280C22semidirect
174. #10622277C22semidirect
175. C11⋊#401C22semidirect
176. #10622274C22semidirect
177. #10622274C22semidirect
178. #10622273C22semidirect
179. #10622273C22semidirect
180. #10622273C22semidirect
181. #10622272C22semidirect
182. #10622272C22semidirect
183. #10622271C22semidirect
184. #10622271C22semidirect
185. #10622263C22semidirect
186. #10622260C22semidirect
598. #2418D11semidirect
769. C2×#123C2×D11semidirect
797. #399C2×D11semidirect
812. #397C2×D11semidirect
826. #394C2×D11semidirect
827. #394C2×D11semidirect
843. #388C2×D11semidirect
844. #388C2×D11semidirect
869. #386C2×D11semidirect
1391. C11#36775semidirect

Maximal subgroups

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

subgroupindex
#130769062
#130769012
#130762872
#130758522
#130758062
#130758012
#130757622
#130755842
#130753322
#130753302
#130753092
#130751722
#130751442
#130751222
#130751212
#130750962
#130750352
#130749702
#130745892
#130745712
#130731192
#130728562
#130724342
#130722842
#130720112
#130719862
#130719412
#130712702
#130712272
C2×#106225712
C11×#24182
#3677511