Finite Group Databasebeta

← #14969220

Subgroups — #14969220

Order 2816.

1864 conjugacy classes of subgroups.

The subgroup lattice has 1584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076914C211yesmaximal, characteristic, complemented
2#13076912C211yesmaximal, characteristic, complemented
3#13076556C211yesmaximal, characteristic, complemented
4#13076551C211yesmaximal, characteristic, complemented
5#13076194C211yesmaximal, characteristic, complemented
6#13076182C211yesmaximal, characteristic, complemented
7#13075838C211yesmaximal, characteristic, complemented
8#13075832C211yesmaximal, characteristic, complemented
9#13075587C211yesmaximal, characteristic, complemented
10#13075583C211yesmaximal, characteristic, complemented
11#13075344C211yesmaximal, characteristic, complemented
12#13075179C211yesmaximal, characteristic, complemented
13#13075179C211yesmaximal, characteristic, complemented
14#13075177C211yesmaximal, characteristic, complemented
15#13074986C211yesmaximal, characteristic, complemented
16#13074975C211yesmaximal, characteristic, complemented
17#13074970C211yesmaximal, characteristic, complemented
18#13074830C211yesmaximal, characteristic
19#13074608C211yesmaximal, characteristic, complemented
20#13074600C211yesmaximal, characteristic, complemented
21#13073437C211yesmaximal, characteristic, complemented
22#13073431C211yesmaximal, characteristic, complemented
23#13073276C211yesmaximal, characteristic, complemented
24#13073274C211yesmaximal, characteristic, complemented
25#13072736C211yesmaximal, characteristic, complemented
26#13072589C211yesmaximal, characteristic, complemented
27#13072579C211yesmaximal, characteristic, complemented
28#13071337C211yesmaximal, characteristic, complemented
29#13071274C211yesmaximal, characteristic, complemented
30C4×#66936C211yesmaximal, characteristic, complemented
31C11×#2472C211yesmaximal, characteristic, complemented
32C2×C11×#124C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic
34C2×C11×#120C2211yescharacteristic
35C22×C11×C22⋊C4C2211yescharacteristic
36C2×#67006C2211yescharacteristic
37C2×#67006C2211yescharacteristic
38C2×#66999C2211yescharacteristic, complemented
39C2×#66999C2211yescharacteristic, complemented
40C2×#66993C2211yescharacteristic
41C2×#66991C2211yescharacteristic
42C2×#66988C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×#66977C2211yescharacteristic
45C2×#66949C2211yescharacteristic, complemented
46C2×#66938C2211yescharacteristic
47C2×#66937C2211yescharacteristic
48C2×#66936C2211yescharacteristic
49C2×#66936C2211yescharacteristic
50C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
51C2×#66931C2211yescharacteristic, complemented
52C2×C42×D11C2211yescharacteristic, complemented
53C11×#397C2211yescharacteristic
54C11×#394C2211yescharacteristic
55C11×#394C2211yescharacteristic
56C11×#393C2211yescharacteristic
57C11×#390C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#388C2211yescharacteristic
60C11×#386C2211yescharacteristic
61C11×#386C2211yescharacteristic
62C11×#379C2211yescharacteristic
63C4×C11×C22⋊C4C2211yescharacteristic
64#10622860C2211yescharacteristic
65#10622860C2211yescharacteristic
66#10622843C2211yescharacteristic, complemented
67#10622842C2211yescharacteristic, complemented
68#10622836C2211yescharacteristic
69#10622836C2211yescharacteristic
70#10622836C2211yescharacteristic
71#10622835C2211yescharacteristic
72#10622835C2211yescharacteristic
73#10622835C2211yescharacteristic
74#10622834C2211yescharacteristic
75#10622833C2211yescharacteristic
76#10622833C2211yescharacteristic
77#10622826C2211yescharacteristic
78#10622826C2211yescharacteristic
79#10622826C2211yescharacteristic
80#10622823C2211yescharacteristic
81C4×C22⋊Dic11C2211yescharacteristic
82C4×C22⋊Dic11C2211yescharacteristic
83#10622607C2211yescharacteristic, complemented
84#10622607C2211yescharacteristic, complemented
85#10622606C2211yescharacteristic, complemented
86#10622603C2211yescharacteristic, complemented
87#10622602C2211yescharacteristic, complemented
88#10622599C2211yescharacteristic, complemented
89#10622598C2211yescharacteristic, complemented
90#10622597C2211yescharacteristic, complemented
91#10622595C2211yescharacteristic, complemented
92#10622592C2211yescharacteristic, complemented
93#10622585C2211yescharacteristic, complemented
94#10622574C2211yescharacteristic
95#10622574C2211yescharacteristic
96#10622574C2211yescharacteristic
97#10622574C2211yescharacteristic
98#10622574C2211yescharacteristic, complemented
99#10622573C2211yescharacteristic
100#10622572C2211yescharacteristic
101#10622572C2211yescharacteristic
102#10622572C2211yescharacteristic
103#10622572C2211yescharacteristic, complemented
104#10622572C2211yescharacteristic, complemented
105#10622571C2211yescharacteristic, complemented
106#10622570C2211yescharacteristic
107#10622570C2211yescharacteristic
108#10622570C2211yescharacteristic
109#10622570C2211yescharacteristic
110#10622570C2211yescharacteristic
111#10622570C2211yescharacteristic, complemented
112#10622569C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622569C2211yescharacteristic, complemented
120#10622569C2211yescharacteristic, complemented
121#10622566C2211yescharacteristic
122#10622566C2211yescharacteristic
123#10622566C2211yescharacteristic, complemented
124#10622565C2211yescharacteristic
125#10622565C2211yescharacteristic
126#10622565C2211yescharacteristic
127#10622565C2211yescharacteristic
128#10622565C2211yescharacteristic
129#10622564C2211yescharacteristic
130#10622564C2211yescharacteristic
131#10622564C2211yescharacteristic
132#10622564C2211yescharacteristic
133#10622564C2211yescharacteristic, complemented
134#10622564C2211yescharacteristic, complemented
135#10622561C2211yescharacteristic
136#10622561C2211yescharacteristic
137#10622561C2211yescharacteristic
138#10622561C2211yescharacteristic
139#10622561C2211yescharacteristic
140#10622561C2211yescharacteristic
141#10622560C2211yescharacteristic
142#10622559C2211yescharacteristic, complemented
143#10622558C2211yescharacteristic
144#10622558C2211yescharacteristic
145#10622558C2211yescharacteristic
146#10622558C2211yescharacteristic
147#10622558C2211yescharacteristic
148#10622557C2211yescharacteristic
149#10622557C2211yescharacteristic
150#10622557C2211yescharacteristic
151#10622557C2211yescharacteristic
152#10622557C2211yescharacteristic
153#10622557C2211yescharacteristic, complemented
154#10622557C2211yescharacteristic, complemented
155#10622557C2211yescharacteristic, complemented
156#10622553C2211yescharacteristic, complemented
157#10622553C2211yescharacteristic, complemented
158C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
159#10622549C2211yescharacteristic, complemented
160C4×C4⋊Dic11C2211yescharacteristic, complemented
161#10622546C2211yescharacteristic, complemented
162C4×Dic11⋊C4C2211yescharacteristic, complemented
163#10622285C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic, complemented
165#10622282C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic, complemented
168#10622278C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic, complemented
170#10622277C2211yescharacteristic, complemented
171#10622272C2211yescharacteristic, complemented
172#10622271C2211yescharacteristic, complemented
173#10622270C2211yescharacteristic, complemented
174#10622268C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622267C2211yescharacteristic, complemented
177#10622265C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622264C2211yescharacteristic, complemented
180#10622264C2211yescharacteristic, complemented
181#10622263C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622261C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
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
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×Dic22C2311yescharacteristic
209C11×#124—42no—
210C11×C22⋊Q8—42no—
211C11×#120—42no—
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4—42no—
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235#67006—24no—
236#67006—42no—
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260#66999—42no—
261#66999—42no—
262#66993—24no—
263#66991—42no—
264#66988—42no—
265C4×C22⋊D11—42no—
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×(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×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289#66977—42no—
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315#66949—42no—
316#66938—42no—
317#66937—42no—
318#66936—24no—
319#66936—42no—
320(C22⋊D11)⋊C4—42no—
321#66931—42no—
322C42×D11—42no—
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#37034—111nomaximal, Sylow
364C24×C11—22no—
365C24×C11—41no—
366C24×C11—41no—
367C24×C11—41no—
368C24×C11—41no—
369C24×C11—41no—
370C24×C11—41no—
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C24×C11C2411yescharacteristic
375C23×D11C2411yescharacteristic
376C23×D11C2411yescharacteristic
377C2×Q8×C11—22no—
378C2×Q8×C11—41no—
379C2×Q8×C11—41no—
380C2×D4×C11—22no—
381C2×D4×C11—22no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C2×D4×C11—41no—
387C2×D4×C11—41no—
388C2×D4×C11—41no—
389C22×C4×C11—22no—
390C22×C4×C11—41no—
391C22×C4×C11—41no—
392C22×C4×C11—41no—
393C22×C4×C11—41no—
394C22×C4×C11—41no—
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—41no—
413C2×C22⋊D11—41no—
414C2×C22⋊D11—41no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11—41no—
417C2×C22⋊D11—41no—
418C2×C22⋊D11—41no—
419C2×C22⋊D11—41no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11#4114yes—
430C22×Dic11—41no—
431C22×Dic11—41no—
432C22×Dic11—41no—
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C2×D44—22no—
448C2×D44—41no—
449C2×D44—41no—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—22no—
453C2×C4×D11—22no—
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×Dic22—22no—
463C2×Dic22—41no—
464C2×Dic22—41no—
465C11×C4⋊C4—22no—
466C11×C4⋊C4—41no—
467C11×C4⋊C4—41no—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—22no—
470C11×C22⋊C4—22no—
471C11×C22⋊C4—22no—
472C11×C22⋊C4—22no—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4—41no—
477C11×C22⋊C4—41no—
478C11×C22⋊C4—41no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4—41no—
484C11×C22⋊C4—41no—
485C42×C11—22no—
486C42×C11—41no—
487C22⋊Dic11—22no—
488C22⋊Dic11—22no—
489C22⋊Dic11—22no—
490C22⋊Dic11—22no—
491C22⋊Dic11—22no—
492C22⋊Dic11—22no—
493C22⋊Dic11—22no—
494C22⋊Dic11—41no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
497C22⋊Dic11—41no—
498C22⋊Dic11—41no—
499C22⋊Dic11—41no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
505C22⋊Dic11—41no—
506C22⋊Dic11—41no—
507C22⋊Dic11—41no—
508C22⋊Dic11—41no—
509C22⋊Dic11—41no—
510(C2×D11)⋊C4—22no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4—41no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526C4⋊Dic11—22no—
527C4⋊Dic11—22no—
528C4⋊Dic11—41no—
529C4⋊Dic11—41no—
530C4⋊Dic11—41no—
531C4⋊Dic11—41no—
532C4⋊Dic11—41no—
533Dic11⋊C4—22no—
534Dic11⋊C4—22no—
535Dic11⋊C4—22no—
536Dic11⋊C4—22no—
537Dic11⋊C4—22no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549C4×Dic11—22no—
550C4×Dic11—22no—
551C4×Dic11—22no—
552C4×Dic11—41no—
553C4×Dic11—41no—
554C4×Dic11—41no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558#2850—111no—
559#2850—111no—
560#2803—111no—
561#2803—111no—
562#2775—111no—
563#2775—111no—
564#2749—111no—
565#2749—111no—
566#2728—111no—
567#2728—111no—
568#2709—111no—
569#2697—111no—
570#2697—111no—
571#2697—111no—
572#2683—111no—
573#2681—111no—
574#2681—111no—
575#2669—111no—
576#2648—111no—
577#2648—111no—
578#2529—111no—
579#2529—111no—
580#2518—111no—
581#2518—111no—
582#2472—111no—
583#2472D1111yescharacteristic, complemented
584#2461—111no—
585#2461—111no—
586#2328—111no—
587#2321—111no—
588C4×#123—111no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—44no—
617C23×C11—82no—
618C23×C11—82no—
619C23×C11—82no—
620C23×C11—82no—
621C23×C11—82no—
622C23×C11—82no—
623C23×C11C2×#4112yes—
624C23×C11C2511yescharacteristic
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11C2×#4112yes—
639Q8×C11—82no—
640D4×C11—82no—
641D4×C11—82no—
642D4×C11—82no—
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—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
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—82no—
675C2×C4×C11—82no—
676C2×C4×C11H(5,𝔽2)12yes—
677C2×C4×C11H(5,𝔽2)12yes—
678C22⋊D11—44no—
679C22⋊D11—44no—
680C22⋊D11—82no—
681C22⋊D11—82no—
682C22⋊D11—82no—
683C22⋊D11—82no—
684C22⋊D11—82no—
685C22⋊D11—82no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—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—82no—
727C2×Dic11C2×#4112yes—
728C2×Dic11H(5,𝔽2)12yes—
729D44—82no—
730C4×D11—44no—
731C4×D11—44no—
732C4×D11—44no—
733C4×D11—82no—
734Dic22—82no—
735C2×#127—111no—
736C2×#124—111no—
737C2×#124C2×D1111yescharacteristic
738C2×#123—111no—
739C2×#123—111no—
740C2×#123—111no—
741C2×C22⋊Q8—111no—
742C2×C22⋊Q8—111no—
743C2×C22⋊Q8—111no—
744C2×C22⋊Q8—111no—
745C2×C22⋊Q8—111no—
746C2×C22⋊Q8C2×D1111yescharacteristic
747C2×#121—111no—
748C2×#121—111no—
749C2×#120—111no—
750C2×#120—111no—
751C2×#120C2×D1111yescharacteristic
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C22×C22⋊C4C2×D1111yescharacteristic
755C22×C42—111no—
756#400—111no—
757#400—111no—
758#400—111no—
759#400—111no—
760#398—111no—
761#398—111no—
762#397—111no—
763#397—111no—
764#397—111no—
765#397—111no—
766#397—111no—
767#397—111no—
768#397—111no—
769#397—111no—
770#397—111no—
771#397C2×D1111yescharacteristic
772#396—111no—
773#396—111no—
774#396—111no—
775#396—111no—
776#396—111no—
777#396—111no—
778#396—111no—
779#396—111no—
780#395—111no—
781#395—111no—
782#394—111no—
783#394—111no—
784#394—111no—
785#394—111no—
786#394—111no—
787#394—111no—
788#394—111no—
789#394—111no—
790#394—111no—
791#394—111no—
792#394—111no—
793#394—111no—
794#394—111no—
795#394—111no—
796#394C2×D1111yescharacteristic
797#394C2×D1111yescharacteristic
798#393—111no—
799#393C2×D1111yescharacteristic
800#392—111no—
801#392—111no—
802#392—111no—
803#392—111no—
804#391—111no—
805#391—111no—
806#390—111no—
807#390—111no—
808#390—111no—
809#390—111no—
810#390—111no—
811#390—111no—
812#390—111no—
813#390C2×D1111yescharacteristic
814#389—111no—
815#389—111no—
816#389—111no—
817#389—111no—
818#388—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#388—111no—
824#388—111no—
825#388—111no—
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388—111no—
837#388—111no—
838#388—111no—
839#388—111no—
840#388—111no—
841#388—111no—
842#388C2×D1111yescharacteristic
843#388C2×D1111yescharacteristic
844#387—111no—
845#387—111no—
846#387—111no—
847#387—111no—
848#387—111no—
849#387—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
870#385—111no—
871#385—111no—
872#385—111no—
873#385—111no—
874#383—111no—
875#383—111no—
876#382—111no—
877#382—111no—
878#382—111no—
879#381—111no—
880#379—111no—
881#379—111no—
882#379C2×D1111yescharacteristic
883C4×C4⋊C4—111no—
884C4×C4⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C4×C22⋊C4C2×D1111yescharacteristic
889#376—111no—
890C22×C11—22no—
891C22×C11—22no—
892C22×C11—22no—
893C22×C11—41no—
894C22×C11—41no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11—41no—
901C22×C11—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—88no—
919C22×C11C22×#4111yescharacteristic
920C22×C11C2×H(5,𝔽2)11yescharacteristic
921C22×C11C2×H(5,𝔽2)11yescharacteristic
922C22×C11C2×H(5,𝔽2)11yescharacteristic
923C22×C11#58511yescharacteristic
924C22×C11#58511yescharacteristic
925C22×C11#58511yescharacteristic
926C2×D11—22no—
927C2×D11—22no—
928C2×D11—22no—
929C2×D11—41no—
930C2×D11—41no—
931C2×D11—41no—
932C2×D11—41no—
933C2×D11—41no—
934C2×D11—41no—
935C2×D11—41no—
936C2×D11—41no—
937C2×D11—41no—
938C2×D11—41no—
939C2×D11—41no—
940C4×C11—22no—
941C4×C11—22no—
942C4×C11—41no—
943C4×C11—41no—
944C4×C11—41no—
945C4×C11—41no—
946C4×C11—41no—
947C4×C11—41no—
948C4×C11—41no—
949C4×C11—41no—
950C4×C11—41no—
951Dic11—22no—
952Dic11—22no—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956Dic11—41no—
957Dic11—41no—
958Dic11—41no—
959Dic11—41no—
960Dic11—41no—
961Dic11—41no—
962Dic11—41no—
963Dic11—41no—
964Dic11—41no—
965C25C22×D1111yescharacteristic
966C22×Q8—111no—
967C22×Q8C22×D1111yescharacteristic
968C22×D4—111no—
969C22×D4—111no—
970C22×D4—111no—
971C22×D4—111no—
972C22×D4—111no—
973C22×D4—111no—
974C22×D4—111no—
975C22×D4—111no—
976C22×D4—111no—
977C22×D4C22×D1111yescharacteristic
978C22×D4C22×D1111yescharacteristic
979C22×D4C22×D1111yescharacteristic
980C23×C4—111no—
981C23×C4—111no—
982C23×C4—111no—
983C23×C4—111no—
984C23×C4—111no—
985C23×C4C22×D1111yescharacteristic
986C23×C4C22×D1111yescharacteristic
987#127—224no—
988#124—42no—
989#124—442no—
990#123—224no—
991#123—442no—
992#123—442no—
993C22⋊Q8—42no—
994C22⋊Q8—442no—
995C22⋊Q8—442no—
996C22⋊Q8—442no—
997C22⋊Q8—442no—
998C22⋊Q8—442no—
999#121—442no—
1000#121—442no—
1001#120—42no—
1002#120—224no—
1003#120—442no—
1004C4×D4—442no—
1005C4×D4—442no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C4⋊C4C22×D1111yescharacteristic
1031C2×C4⋊C4C22×D1111yescharacteristic
1032C2×C22⋊C4—42no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4C22×D1111yescharacteristic
1073C2×C22⋊C4C22×D1111yescharacteristic
1074C2×C22⋊C4C22×D1111yescharacteristic
1075C2×C22⋊C4C22×D1111yescharacteristic
1076C2×C22⋊C4C22×D1111yescharacteristic
1077C2×C22⋊C4C22×D1111yescharacteristic
1078C2×C22⋊C4C22×D1111yescharacteristic
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C22⋊C4C22×D1111yescharacteristic
1081C2×C22⋊C4C22×D1111yescharacteristic
1082C2×C22⋊C4C22×D1111yescharacteristic
1083C2×C22⋊C4C22×D1111yescharacteristic
1084C2×C22⋊C4C22×D1111yescharacteristic
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C42—111no—
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—111no—
1096C2×C42—111no—
1097C2×C42—111no—
1098C2×C42—442no—
1099C2×C42C22×D1111yescharacteristic
1100C2×C42C22×D1111yescharacteristic
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95C22×D1111yescharacteristic
1136#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141C2×C11—42no—
1142C2×C11—81no—
1143C2×C11—81no—
1144C2×C11—81no—
1145C2×C11#345911yescharacteristic
1146C2×C11#351411yescharacteristic
1147C2×C11#351411yescharacteristic
1148C2×C11#353311yescharacteristic
1149C2×C11#353711yescharacteristic
1150C2×C11#355111yescharacteristic
1151C2×C11#355111yescharacteristic
1152D11—42no—
1153D11—81no—
1154C24—22no—
1155C24—41no—
1156C24—41no—
1157C24—41no—
1158C24—41no—
1159C24—41no—
1160C24—41no—
1161C24—111no—
1162C24—111no—
1163C24C23×D1111yescharacteristic
1164C24C23×D1111yescharacteristic
1165C24C23×D1111yescharacteristic
1166C24C23×D1111yescharacteristic
1167C2×Q8—22no—
1168C2×Q8—41no—
1169C2×Q8—41no—
1170C2×Q8—222no—
1171C2×Q8—441no—
1172C2×Q8—441no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—114no—
1183C2×D4—222no—
1184C2×D4—222no—
1185C2×D4—222no—
1186C2×D4—222no—
1187C2×D4—222no—
1188C2×D4—222no—
1189C2×D4—222no—
1190C2×D4—441no—
1191C2×D4—441no—
1192C2×D4—441no—
1193C2×D4—441no—
1194C2×D4—441no—
1195C2×D4—441no—
1196C2×D4—441no—
1197C2×D4—441no—
1198C2×D4—441no—
1199C2×D4—441no—
1200C2×D4—441no—
1201C2×D4—441no—
1202C2×D4—441no—
1203C2×D4—441no—
1204C2×D4—441no—
1205C2×D4—441no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C22×C4—22no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—111no—
1216C22×C4—111no—
1217C22×C4—111no—
1218C22×C4—111no—
1219C22×C4—111no—
1220C22×C4—111no—
1221C22×C4—111no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—222no—
1230C22×C4—222no—
1231C22×C4—222no—
1232C22×C4—222no—
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×C4C23×D1111yescharacteristic
1245C22×C4C23×D1111yescharacteristic
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C22×C4C23×D1111yescharacteristic
1254C22×C4C23×D1111yescharacteristic
1255C4⋊C4—22no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—222no—
1259C4⋊C4—222no—
1260C4⋊C4—222no—
1261C4⋊C4—222no—
1262C4⋊C4—222no—
1263C4⋊C4—222no—
1264C4⋊C4—222no—
1265C4⋊C4—441no—
1266C4⋊C4—441no—
1267C4⋊C4—441no—
1268C4⋊C4—441no—
1269C4⋊C4—441no—
1270C4⋊C4—441no—
1271C4⋊C4—441no—
1272C4⋊C4—441no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C4⋊C4—441no—
1278C4⋊C4—441no—
1279C4⋊C4—441no—
1280C4⋊C4—441no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—222no—
1299C22⋊C4—222no—
1300C22⋊C4—222no—
1301C22⋊C4—222no—
1302C22⋊C4—222no—
1303C22⋊C4—222no—
1304C22⋊C4—222no—
1305C22⋊C4—222no—
1306C22⋊C4—222no—
1307C22⋊C4—222no—
1308C22⋊C4—441no—
1309C22⋊C4—441no—
1310C22⋊C4—441no—
1311C22⋊C4—441no—
1312C22⋊C4—441no—
1313C22⋊C4—441no—
1314C22⋊C4—441no—
1315C22⋊C4—441no—
1316C22⋊C4—441no—
1317C22⋊C4—441no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4—441no—
1323C22⋊C4—441no—
1324C22⋊C4—441no—
1325C22⋊C4—441no—
1326C22⋊C4—441no—
1327C22⋊C4—441no—
1328C22⋊C4—441no—
1329C22⋊C4—441no—
1330C22⋊C4—441no—
1331C22⋊C4—441no—
1332C22⋊C4—441no—
1333C22⋊C4—441no—
1334C22⋊C4—441no—
1335C22⋊C4—441no—
1336C22⋊C4—441no—
1337C42—22no—
1338C42—41no—
1339C42—222no—
1340C42—222no—
1341C42—222no—
1342C42—441no—
1343C42—441no—
1344C42—441no—
1345C42—441no—
1346C42—441no—
1347C42—441no—
1348C11#3703411yescharacteristic, complemented, Sylow
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—44no—
1377C23—82no—
1378C23—82no—
1379C23—82no—
1380C23—82no—
1381C23—82no—
1382C23—82no—
1383C23—112no—
1384C23—221no—
1385C23—221no—
1386C23—221no—
1387C23—221no—
1388C23—221no—
1389C23—221no—
1390C23—221no—
1391C23—221no—
1392C23—221no—
1393C23—221no—
1394C23—221no—
1395C23—221no—
1396C23—221no—
1397C23#41×D1112yes—
1398C23C24×D1111yescharacteristic
1399Q8—82no—
1400Q8—882no—
1401D4—82no—
1402D4—82no—
1403D4—82no—
1404D4—444no—
1405D4—444no—
1406D4—882no—
1407D4—882no—
1408D4—882no—
1409D4—882no—
1410D4—882no—
1411D4—882no—
1412D4—882no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—82no—
1445C2×C4—82no—
1446C2×C4—112no—
1447C2×C4—112no—
1448C2×C4—221no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—444no—
1489C2×C4—444no—
1490C2×C4—444no—
1491C2×C4—882no—
1492C2×C4—882no—
1493C2×C4#6703712yes—
1494C2×C4#6703712yes—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—88no—
1524C22—222no—
1525C22—222no—
1526C22—222no—
1527C22—441no—
1528C22—441no—
1529C22—441no—
1530C22—441no—
1531C22—441no—
1532C22—441no—
1533C22—441no—
1534C22—441no—
1535C22—441no—
1536C22—441no—
1537C22—441no—
1538C22C2×#6703711yescharacteristic
1539C22C2×#6703711yescharacteristic
1540C22C2×#41×D1111yescharacteristic
1541C22#1062345311yescharacteristic
1542C22#1062345311yescharacteristic
1543C22D11×H(5,𝔽2)11yescharacteristic
1544C22#1062345511yescharacteristic
1545C4—22no—
1546C4—22no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—222no—
1557C4—222no—
1558C4—441no—
1559C4—441no—
1560C4—441no—
1561C4—441no—
1562C4—441no—
1563C4—441no—
1564C4—441no—
1565C4—441no—
1566C4—441no—
1567C4—441no—
1568C4—441no—
1569C4—441no—
1570C2—42no—
1571C2—81no—
1572C2—81no—
1573C2—81no—
1574C2—442no—
1575C2—881no—
1576C2#1308202311yescharacteristic
1577C2#1308256911yescharacteristic
1578C2#1308257111yescharacteristic
1579C2#1308277511yescharacteristic
1580C2#1308284711yescharacteristic
1581C2#1308303611yescharacteristic
1582C2#1308303911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2472C2
prime radical#13074830C2
hypercenter#2472D11
hypocenterC11#37034
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. #13076914C2semidirect
2. #13076912C2semidirect
3. #13076556C2semidirect
4. #13076551C2semidirect
5. #13076194C2semidirect
6. #13076182C2semidirect
7. #13075838C2semidirect
8. #13075832C2semidirect
9. #13075587C2semidirect
10. #13075583C2semidirect
11. #13075344C2semidirect
12. #13075179C2semidirect
13. #13075179C2semidirect
14. #13075177C2semidirect
15. #13074986C2semidirect
16. #13074975C2semidirect
17. #13074970C2semidirect
19. #13074608C2semidirect
20. #13074600C2semidirect
21. #13073437C2semidirect
22. #13073431C2semidirect
23. #13073276C2semidirect
24. #13073274C2semidirect
25. #13072736C2semidirect
26. #13072589C2semidirect
27. #13072579C2semidirect
28. #13071337C2semidirect
29. #13071274C2semidirect
30. C4×#66936C2semidirect
31. C11×#2472C2semidirect
38. C2×#66999C22semidirect
39. C2×#66999C22semidirect
45. C2×#66949C22semidirect
50. C2×(C22⋊D11)⋊C4C22semidirect
51. C2×#66931C22semidirect
52. C2×C42×D11C22semidirect
66. #10622843C22semidirect
67. #10622842C22semidirect
83. #10622607C22semidirect
84. #10622607C22semidirect
85. #10622606C22semidirect
86. #10622603C22semidirect
87. #10622602C22semidirect
88. #10622599C22semidirect
89. #10622598C22semidirect
90. #10622597C22semidirect
91. #10622595C22semidirect
92. #10622592C22semidirect
93. #10622585C22semidirect
98. #10622574C22semidirect
103. #10622572C22semidirect
104. #10622572C22semidirect
105. #10622571C22semidirect
111. #10622570C22semidirect
119. #10622569C22semidirect
120. #10622569C22semidirect
123. #10622566C22semidirect
133. #10622564C22semidirect
134. #10622564C22semidirect
142. #10622559C22semidirect
153. #10622557C22semidirect
154. #10622557C22semidirect
155. #10622557C22semidirect
156. #10622553C22semidirect
157. #10622553C22semidirect
158. C4×(C2×D11)⋊C4C22semidirect
159. #10622549C22semidirect
160. C4×C4⋊Dic11C22semidirect
161. #10622546C22semidirect
162. C4×Dic11⋊C4C22semidirect
163. #10622285C22semidirect
164. #10622283C22semidirect
165. #10622282C22semidirect
166. #10622281C22semidirect
167. #10622278C22semidirect
168. #10622278C22semidirect
169. #10622278C22semidirect
170. #10622277C22semidirect
171. #10622272C22semidirect
172. #10622271C22semidirect
173. #10622270C22semidirect
174. #10622268C22semidirect
175. #10622267C22semidirect
176. #10622267C22semidirect
177. #10622265C22semidirect
178. #10622265C22semidirect
179. #10622264C22semidirect
180. #10622264C22semidirect
181. #10622263C22semidirect
182. #10622263C22semidirect
183. #10622261C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
583. #2472D11semidirect
1348. C11#37034semidirect

Maximal subgroups

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

subgroupindex
#130769142
#130769122
#130765562
#130765512
#130761942
#130761822
#130758382
#130758322
#130755872
#130755832
#130753442
#130751792
#130751772
#130749862
#130749752
#130749702
#130748302
#130746082
#130746002
#130734372
#130734312
#130732762
#130732742
#130727362
#130725892
#130725792
#130713372
#130712742
C4×#669362
C11×#24722
#3703411