Finite Group Databasebeta

← #14969343

Subgroups — #14969343

Order 2816.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1582 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076989C211yesmaximal, characteristic, complemented
2#13076987C211yesmaximal, characteristic, complemented
3#13076545C211yesmaximal, characteristic, complemented
4#13076228C211yesmaximal, characteristic, complemented
5#13075980C211yesmaximal, characteristic, complemented
6#13075943C211yesmaximal, characteristic, complemented
7#13075906C211yesmaximal, characteristic, complemented
8#13075658C211yesmaximal, characteristic, complemented
9#13075612C211yesmaximal, characteristic, complemented
10#13075389C211yesmaximal, characteristic, complemented
11#13075388C211yesmaximal, characteristic, complemented
12#13075365C211yesmaximal, characteristic, complemented
13#13075305C211yesmaximal, characteristic, complemented
14#13075268C211yesmaximal, characteristic, complemented
15#13074944C211yesmaximal, characteristic, complemented
16#13074844C211yesmaximal, characteristic, complemented
17#13074839C211yesmaximal, characteristic, complemented
18#13074743C211yesmaximal, characteristic, complemented
19#13074680C211yesmaximal, characteristic, complemented
20#13073723C211yesmaximal, characteristic, complemented
21#13073689C211yesmaximal, characteristic, complemented
22#13072737C211yesmaximal, characteristic, complemented
23#13072567C211yesmaximal, characteristic, complemented
24#13072542C211yesmaximal, characteristic, complemented
25#13072514C211yesmaximal, characteristic, complemented
26#13072409C211yesmaximal, characteristic, complemented
27#13072073C211yesmaximal, characteristic, complemented
28#13071430C211yesmaximal, characteristic, complemented
29#13071278C211yesmaximal, characteristic, complemented
30#13071157C211yesmaximal, characteristic, complemented
31C11×#2711C211yesmaximal, characteristic, complemented
32C2×C11×#125C2211yescharacteristic, complemented
33C2×C11×#121C2211yescharacteristic
34C2×#66992C2211yescharacteristic, complemented
35C2×#66990C2211yescharacteristic
36C2×#66990C2211yescharacteristic
37C2×#66989C2211yescharacteristic
38C2×#66982C2211yescharacteristic
39C2×#66949C2211yescharacteristic
40C2×#66943C2211yescharacteristic, complemented
41C2×#66940C2211yescharacteristic, complemented
42C2×#66939C2211yescharacteristic
43C2×#66938C2211yescharacteristic
44C2×#66938C2211yescharacteristic
45C2×#66938C2211yescharacteristic
46C2×#66938C2211yescharacteristic, complemented
47C2×#66936C2211yescharacteristic, complemented
48C2×#66935C2211yescharacteristic
49C2×(C22⋊D11)⋊C4C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×#66928C2211yescharacteristic
52C2×C4×D44C2211yescharacteristic
53C11×#399C2211yescharacteristic
54C11×#396C2211yescharacteristic, complemented
55C11×#394C2211yescharacteristic
56C11×#394C2211yescharacteristic
57C11×#394C2211yescharacteristic
58C11×#394C2211yescharacteristic, complemented
59C11×#390C2211yescharacteristic
60C11×#390C2211yescharacteristic, complemented
61C11×#388C2211yescharacteristic
62C11×#388C2211yescharacteristic, complemented
63C11×#387C2211yescharacteristic, complemented
64C11×#385C2211yescharacteristic, complemented
65C11×#385C2211yescharacteristic, complemented
66#10622836C2211yescharacteristic
67#10622836C2211yescharacteristic
68#10622836C2211yescharacteristic
69#10622836C2211yescharacteristic
70#10622835C2211yescharacteristic
71#10622835C2211yescharacteristic, complemented
72#10622834C2211yescharacteristic
73#10622833C2211yescharacteristic
74#10622826C2211yescharacteristic
75#10622826C2211yescharacteristic, complemented
76C4×C22⋊Dic11C2211yescharacteristic, complemented
77#10622607C2211yescharacteristic
78#10622607C2211yescharacteristic
79#10622607C2211yescharacteristic
80#10622606C2211yescharacteristic, complemented
81#10622605C2211yescharacteristic, complemented
82#10622604C2211yescharacteristic
83#10622603C2211yescharacteristic
84#10622603C2211yescharacteristic
85#10622603C2211yescharacteristic
86#10622603C2211yescharacteristic
87#10622603C2211yescharacteristic
88#10622603C2211yescharacteristic
89#10622603C2211yescharacteristic
90#10622603C2211yescharacteristic
91#10622603C2211yescharacteristic
92#10622603C2211yescharacteristic, complemented
93#10622603C2211yescharacteristic, complemented
94#10622603C2211yescharacteristic, complemented
95#10622603C2211yescharacteristic, complemented
96#10622602C2211yescharacteristic
97#10622601C2211yescharacteristic
98#10622601C2211yescharacteristic
99#10622600C2211yescharacteristic
100#10622598C2211yescharacteristic, complemented
101#10622597C2211yescharacteristic, complemented
102#10622597C2211yescharacteristic, complemented
103#10622593C2211yescharacteristic, complemented
104#10622592C2211yescharacteristic, complemented
105C4⋊C4×Dic11C2211yescharacteristic, complemented
106#10622587C2211yescharacteristic, complemented
107#10622587C2211yescharacteristic, complemented
108#10622587C2211yescharacteristic, complemented
109#10622585C2211yescharacteristic, complemented
110#10622574C2211yescharacteristic
111#10622574C2211yescharacteristic, complemented
112#10622573C2211yescharacteristic
113#10622573C2211yescharacteristic
114#10622573C2211yescharacteristic
115#10622573C2211yescharacteristic
116#10622572C2211yescharacteristic
117#10622572C2211yescharacteristic
118#10622572C2211yescharacteristic
119#10622572C2211yescharacteristic, complemented
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic
123#10622570C2211yescharacteristic
124#10622570C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622569C2211yescharacteristic
129#10622569C2211yescharacteristic, complemented
130#10622568C2211yescharacteristic
131#10622568C2211yescharacteristic
132#10622568C2211yescharacteristic
133#10622566C2211yescharacteristic
134#10622565C2211yescharacteristic
135#10622565C2211yescharacteristic
136#10622565C2211yescharacteristic, complemented
137#10622564C2211yescharacteristic
138#10622564C2211yescharacteristic
139#10622564C2211yescharacteristic, complemented
140#10622564C2211yescharacteristic, complemented
141#10622563C2211yescharacteristic, complemented
142#10622562C2211yescharacteristic
143#10622560C2211yescharacteristic
144#10622560C2211yescharacteristic, complemented
145#10622560C2211yescharacteristic, complemented
146#10622558C2211yescharacteristic, complemented
147#10622558C2211yescharacteristic, complemented
148#10622557C2211yescharacteristic
149#10622557C2211yescharacteristic
150#10622557C2211yescharacteristic
151#10622557C2211yescharacteristic
152#10622557C2211yescharacteristic, complemented
153#10622557C2211yescharacteristic, complemented
154#10622557C2211yescharacteristic, complemented
155C22⋊C4×Dic11C2211yescharacteristic, complemented
156C22⋊C4×Dic11C2211yescharacteristic, complemented
157#10622553C2211yescharacteristic
158#10622553C2211yescharacteristic
159#10622546C2211yescharacteristic, complemented
160#10622546C2211yescharacteristic, complemented
161C42×Dic11C2211yescharacteristic, complemented
162#10622542C2211yescharacteristic, complemented
163#10622288C2211yescharacteristic
164#10622288C2211yescharacteristic
165#10622288C2211yescharacteristic
166#10622286C2211yescharacteristic
167#10622286C2211yescharacteristic
168#10622285C2211yescharacteristic
169#10622283C2211yescharacteristic
170#10622283C2211yescharacteristic, complemented
171#10622281C2211yescharacteristic
172#10622281C2211yescharacteristic, complemented
173#10622280C2211yescharacteristic, complemented
174#10622279C2211yescharacteristic
175#10622279C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622278C2211yescharacteristic
178C11⋊#401C2211yescharacteristic, complemented
179#10622273C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×D44C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×Dic22C2311yescharacteristic
206C22×Dic22C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C11×#125—42no—
209C11×#121—42no—
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊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
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250#66992—42no—
251#66990—42no—
252#66990—42no—
253#66989—42no—
254#66982—42no—
255C2×(C2×D11)⋊C4C2311yescharacteristic
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×(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×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311#66949—42no—
312#66943—42no—
313#66940—42no—
314#66939—42no—
315#66938—24no—
316#66938—24no—
317#66938—42no—
318#66938—42no—
319#66936—42no—
320#66935—24no—
321(C22⋊D11)⋊C4—42no—
322C22⋊C4×D11—42no—
323#66928—42no—
324C4×D44—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
363#37038—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C23×D11—22no—
368C23×D11—41no—
369C23×D11—41no—
370C23×D11—41no—
371C23×D11—41no—
372C23×D11—41no—
373C23×D11—41no—
374C23×D11C2411yescharacteristic
375C23×D11C2411yescharacteristic
376C23×D11C2411yescharacteristic
377C2×D4×C11—22no—
378C2×D4×C11—41no—
379C2×D4×C11—41no—
380C2×D4×C11—41no—
381C2×D4×C11—41no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C22×C4×C11—41no—
387C22×C4×C11—41no—
388C22×C4×C11—41no—
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C2×C22⋊D11—22no—
402C2×C22⋊D11—22no—
403C2×C22⋊D11—22no—
404C2×C22⋊D11—22no—
405C2×C22⋊D11—41no—
406C2×C22⋊D11—41no—
407C2×C22⋊D11—41no—
408C2×C22⋊D11—41no—
409C2×C22⋊D11—41no—
410C2×C22⋊D11—41no—
411C2×C22⋊D11—41no—
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—
422C22×Dic11—22no—
423C22×Dic11—41no—
424C22×Dic11—41no—
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×D44—22no—
439C2×D44—22no—
440C2×D44—41no—
441C2×D44—41no—
442C2×D44—41no—
443C2×D44—41no—
444C2×C4×D11—22no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×Dic22—22no—
454C2×Dic22—22no—
455C2×Dic22—22no—
456C2×Dic22—22no—
457C2×Dic22—41no—
458C2×Dic22—41no—
459C2×Dic22—41no—
460C2×Dic22—41no—
461C2×Dic22—41no—
462C11×C4⋊C4—22no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—41no—
465C11×C4⋊C4—41no—
466C11×C4⋊C4—41no—
467C11×C4⋊C4—41no—
468C11×C4⋊C4—41no—
469C11×C4⋊C4—41no—
470C11×C4⋊C4—41no—
471C11×C22⋊C4—22no—
472C11×C22⋊C4—22no—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—22no—
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—41no—
494C22⋊Dic11—41no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
497C22⋊Dic11—41no—
498C22⋊Dic11—41no—
499C22⋊Dic11—41no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
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—22no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—22no—
510(C2×D11)⋊C4—22no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—41no—
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—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4#4114yes—
531C4⋊Dic11—22no—
532C4⋊Dic11—22no—
533C4⋊Dic11—41no—
534C4⋊Dic11—41no—
535C4⋊Dic11—41no—
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—
547C4×Dic11—22no—
548C4×Dic11—22no—
549C4×Dic11—22no—
550C4×Dic11—22no—
551C4×Dic11—41no—
552C4×Dic11—41no—
553C4×Dic11—41no—
554C4×Dic11—41no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558#2861—111no—
559#2861—111no—
560#2803—111no—
561#2778—111no—
562#2759—111no—
563#2756—111no—
564#2754—111no—
565#2735—111no—
566#2730—111no—
567#2712—111no—
568#2712—111no—
569#2711D1111yescharacteristic, complemented
570#2710—111no—
571#2706—111no—
572#2704—111no—
573#2678—111no—
574#2670—111no—
575#2670—111no—
576#2661—111no—
577#2653—111no—
578#2558—111no—
579#2555—111no—
580#2472—111no—
581#2460—111no—
582#2458—111no—
583#2456—111no—
584#2448—111no—
585#2418—111no—
586#2337—111no—
587#2321—111no—
588C4×#124—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×C11C2511yescharacteristic
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—44no—
632C22×D11—82no—
633C22×D11—82no—
634C22×D11—82no—
635C22×D11—82no—
636C22×D11—82no—
637C22×D11—82no—
638C22×D11C2×#4112yes—
639D4×C11—82no—
640D4×C11—82no—
641D4×C11—82no—
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—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—21no—
675C2×C4×C11—21no—
676C2×C4×C11—82no—
677C2×C4×C11C2×#4112yes—
678C2×C4×C11H(5,𝔽2)12yes—
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—82no—
723C2×Dic11C2×#4112yes—
724C2×Dic11H(5,𝔽2)12yes—
725C2×Dic11H(5,𝔽2)12yes—
726D44—44no—
727D44—82no—
728C4×D11—82no—
729C4×D11—82no—
730C4×D11—82no—
731Dic22—44no—
732Dic22—82no—
733Dic22—82no—
734C2×#125—111no—
735C2×#125C2×D1111yescharacteristic, complemented
736C2×#124—111no—
737C2×#124—111no—
738C2×#124—111no—
739C2×#124—111no—
740C2×#124—111no—
741C2×#124—111no—
742C2×#123—111no—
743C2×#123—111no—
744C2×#123—111no—
745C2×C22⋊Q8—111no—
746C2×#121—111no—
747C2×#121C2×D1111yescharacteristic
748C2×#120—111no—
749C2×#120—111no—
750C2×#120—111no—
751C2×C4×Q8—111no—
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C22×C22⋊C4—111no—
755#401—111no—
756#400—111no—
757#399—111no—
758#399—111no—
759#399C2×D1111yescharacteristic
760#398—111no—
761#398—111no—
762#398—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#396—111no—
772#396—111no—
773#396—111no—
774#396C2×D1111yescharacteristic, complemented
775#395—111no—
776#394—111no—
777#394—111no—
778#394—111no—
779#394—111no—
780#394—111no—
781#394—111no—
782#394—111no—
783#394—111no—
784#394—111no—
785#394—111no—
786#394C2×D1111yescharacteristic
787#394C2×D1111yescharacteristic
788#394C2×D1111yescharacteristic
789#394C2×D1111yescharacteristic, complemented
790#393—111no—
791#393—111no—
792#393—111no—
793#393—111no—
794#393—111no—
795#392—111no—
796#392—111no—
797#392—111no—
798#392—111no—
799#392—111no—
800#392—111no—
801#392—111no—
802#392—111no—
803#391—111no—
804#391—111no—
805#391—111no—
806#391—111no—
807#391—111no—
808#391—111no—
809#391—111no—
810#390—111no—
811#390—111no—
812#390—111no—
813#390—111no—
814#390—111no—
815#390—111no—
816#390—111no—
817#390—111no—
818#390C2×D1111yescharacteristic
819#390C2×D1111yescharacteristic, complemented
820#389—111no—
821#389—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#388—111no—
843#388—111no—
844#388—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388C2×D1111yescharacteristic
853#388C2×D1111yescharacteristic, complemented
854#387—111no—
855#387—111no—
856#387—111no—
857#387—111no—
858#387C2×D1111yescharacteristic, complemented
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#386—111no—
869#385—111no—
870#385—111no—
871#385—111no—
872#385—111no—
873#385C2×D1111yescharacteristic, complemented
874#385C2×D1111yescharacteristic, complemented
875#383—111no—
876#382—111no—
877#380—111no—
878#380—111no—
879#379—111no—
880#379—111no—
881#379—111no—
882C4×C4⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C43—111no—
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×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×C11C22×#4111yescharacteristic
911C22×C11C2×H(5,𝔽2)11yescharacteristic
912C22×C11C2×H(5,𝔽2)11yescharacteristic
913C22×C11C2×H(5,𝔽2)11yescharacteristic
914C22×C11#58511yescharacteristic
915C22×C11#58511yescharacteristic
916C22×C11#58511yescharacteristic
917C2×D11—22no—
918C2×D11—22no—
919C2×D11—22no—
920C2×D11—41no—
921C2×D11—41no—
922C2×D11—41no—
923C2×D11—41no—
924C2×D11—41no—
925C2×D11—41no—
926C2×D11—41no—
927C2×D11—41no—
928C2×D11—41no—
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—88no—
939C4×C11—22no—
940C4×C11—22no—
941C4×C11—41no—
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—22no—
954Dic11—41no—
955Dic11—41no—
956Dic11—41no—
957Dic11—41no—
958Dic11—41no—
959Dic11—41no—
960Dic11—41no—
961Dic11—41no—
962Dic11—41no—
963Dic11—41no—
964C25—111no—
965C22×Q8—111no—
966C22×Q8—111no—
967C22×Q8—111no—
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×C4C22×D1111yescharacteristic
985#125—42no—
986#125—442no—
987#124—224no—
988#124—224no—
989#124—442no—
990#124—442no—
991#124—442no—
992#124—442no—
993#123—442no—
994#123—442no—
995#123—442no—
996C22⋊Q8—442no—
997#121—42no—
998#121—442no—
999#120—224no—
1000#120—442no—
1001#120—442no—
1002C4×Q8—442no—
1003C4×D4—442no—
1004C4×D4—442no—
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—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⋊C4C22×D1111yescharacteristic
1022C2×C4⋊C4C22×D1111yescharacteristic
1023C2×C4⋊C4C22×D1111yescharacteristic
1024C2×C4⋊C4C22×D1111yescharacteristic
1025C2×C4⋊C4C22×D1111yescharacteristic
1026C2×C4⋊C4C22×D1111yescharacteristic
1027C2×C4⋊C4C22×D1111yescharacteristic
1028C2×C4⋊C4C22×D1111yescharacteristic
1029C2×C4⋊C4C22×D1111yescharacteristic
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—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⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—442no—
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—111no—
1099C2×C42—111no—
1100C2×C42C22×D1111yescharacteristic
1101C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1135#95C22×D1111yescharacteristic
1136#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140C2×C11—81no—
1141C2×C11—81no—
1142C2×C11—81no—
1143C2×C11#346011yescharacteristic
1144C2×C11#351311yescharacteristic
1145C2×C11#351411yescharacteristic
1146C2×C11#354611yescharacteristic
1147C2×C11#355811yescharacteristic
1148C2×C11#355811yescharacteristic
1149C2×C11#356611yescharacteristic
1150D11—42no—
1151D11—81no—
1152D11—81no—
1153C24—111no—
1154C24—111no—
1155C24—111no—
1156C24—222no—
1157C24—441no—
1158C24—441no—
1159C24—441no—
1160C24—441no—
1161C24—441no—
1162C24—441no—
1163C24C23×D1111yescharacteristic
1164C24C23×D1111yescharacteristic
1165C24C23×D1111yescharacteristic
1166C2×Q8—222no—
1167C2×Q8—222no—
1168C2×Q8—222no—
1169C2×Q8—222no—
1170C2×Q8—441no—
1171C2×Q8—441no—
1172C2×Q8—441no—
1173C2×Q8—441no—
1174C2×Q8—441no—
1175C2×D4—22no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
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—
1209C2×D4—441no—
1210C2×D4—441no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—111no—
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—222no—
1228C22×C4—222no—
1229C22×C4—441no—
1230C22×C4—441no—
1231C22×C4—441no—
1232C22×C4—441no—
1233C22×C4—441no—
1234C22×C4—441no—
1235C22×C4—441no—
1236C22×C4—441no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4C23×D1111yescharacteristic
1240C22×C4C23×D1111yescharacteristic
1241C22×C4C23×D1111yescharacteristic
1242C22×C4C23×D1111yescharacteristic
1243C22×C4C23×D1111yescharacteristic
1244C22×C4C23×D1111yescharacteristic
1245C22×C4C23×D1111yescharacteristic
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—222no—
1261C4⋊C4—222no—
1262C4⋊C4—222no—
1263C4⋊C4—222no—
1264C4⋊C4—441no—
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—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—114no—
1291C22⋊C4—222no—
1292C22⋊C4—222no—
1293C22⋊C4—222no—
1294C22⋊C4—222no—
1295C22⋊C4—222no—
1296C22⋊C4—222no—
1297C22⋊C4—222no—
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—441no—
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—
1334C42—22no—
1335C42—41no—
1336C42—222no—
1337C42—222no—
1338C42—222no—
1339C42—222no—
1340C42—441no—
1341C42—441no—
1342C42—441no—
1343C42—441no—
1344C42—441no—
1345C42—441no—
1346C42—441no—
1347C11#3703811yescharacteristic, complemented, Sylow
1348C23—21no—
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—112no—
1370C23—221no—
1371C23—221no—
1372C23—221no—
1373C23—221no—
1374C23—221no—
1375C23—221no—
1376C23—221no—
1377C23—221no—
1378C23—221no—
1379C23—221no—
1380C23—221no—
1381C23—221no—
1382C23—221no—
1383C23—221no—
1384C23—221no—
1385C23—221no—
1386C23—221no—
1387C23—221no—
1388C23—221no—
1389C23—221no—
1390C23—444no—
1391C23—882no—
1392C23—882no—
1393C23—882no—
1394C23—882no—
1395C23—882no—
1396C23—882no—
1397C23C24×D1111yescharacteristic
1398Q8—444no—
1399Q8—882no—
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—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—82no—
1448C2×C4—112no—
1449C2×C4—112no—
1450C2×C4—112no—
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—882no—
1488C2×C4—882no—
1489C2×C4—882no—
1490C2×C4—882no—
1491C2×C4#6703712yes—
1492C2×C4#41×D1112yes—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
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—222no—
1515C22—222no—
1516C22—222no—
1517C22—441no—
1518C22—441no—
1519C22—441no—
1520C22—441no—
1521C22—441no—
1522C22—441no—
1523C22—441no—
1524C22—441no—
1525C22—441no—
1526C22—441no—
1527C22—441no—
1528C22—441no—
1529C22—441no—
1530C22—441no—
1531C22—441no—
1532C22—441no—
1533C22—441no—
1534C22—441no—
1535C22—888no—
1536C22C2×#6703711yescharacteristic
1537C22C2×#41×D1111yescharacteristic
1538C22#1062345311yescharacteristic
1539C22D11×H(5,𝔽2)11yescharacteristic
1540C22D11×H(5,𝔽2)11yescharacteristic
1541C22#1062345511yescharacteristic
1542C22#1062345711yescharacteristic
1543C4—22no—
1544C4—22no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—222no—
1556C4—222no—
1557C4—222no—
1558C4—441no—
1559C4—441no—
1560C4—441no—
1561C4—441no—
1562C4—441no—
1563C4—441no—
1564C4—441no—
1565C4—441no—
1566C4—441no—
1567C4—441no—
1568C2—81no—
1569C2—81no—
1570C2—81no—
1571C2—442no—
1572C2—881no—
1573C2—881no—
1574C2#1308203111yescharacteristic
1575C2#1308256311yescharacteristic
1576C2#1308257011yescharacteristic
1577C2#1308298611yescharacteristic
1578C2#1308312611yescharacteristic
1579C2#1308313811yescharacteristic
1580C2#1308327511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2711C2
hypercenter#2711D11
hypocenterC11#37038
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2711

Complements

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

NH ≅ G/Ntype
1. #13076989C2semidirect
2. #13076987C2semidirect
3. #13076545C2semidirect
4. #13076228C2semidirect
5. #13075980C2semidirect
6. #13075943C2semidirect
7. #13075906C2semidirect
8. #13075658C2semidirect
9. #13075612C2semidirect
10. #13075389C2semidirect
11. #13075388C2semidirect
12. #13075365C2semidirect
13. #13075305C2semidirect
14. #13075268C2semidirect
15. #13074944C2semidirect
16. #13074844C2semidirect
17. #13074839C2semidirect
18. #13074743C2semidirect
19. #13074680C2semidirect
20. #13073723C2semidirect
21. #13073689C2semidirect
22. #13072737C2semidirect
23. #13072567C2semidirect
24. #13072542C2semidirect
25. #13072514C2semidirect
26. #13072409C2semidirect
27. #13072073C2semidirect
28. #13071430C2semidirect
29. #13071278C2semidirect
30. #13071157C2semidirect
31. C11×#2711C2semidirect
32. C2×C11×#125C22semidirect
34. C2×#66992C22semidirect
40. C2×#66943C22semidirect
41. C2×#66940C22semidirect
46. C2×#66938C22semidirect
47. C2×#66936C22semidirect
54. C11×#396C22semidirect
58. C11×#394C22semidirect
60. C11×#390C22semidirect
62. C11×#388C22semidirect
63. C11×#387C22semidirect
64. C11×#385C22semidirect
65. C11×#385C22semidirect
71. #10622835C22semidirect
75. #10622826C22semidirect
76. C4×C22⋊Dic11C22semidirect
80. #10622606C22semidirect
81. #10622605C22semidirect
92. #10622603C22semidirect
93. #10622603C22semidirect
94. #10622603C22semidirect
95. #10622603C22semidirect
100. #10622598C22semidirect
101. #10622597C22semidirect
102. #10622597C22semidirect
103. #10622593C22semidirect
104. #10622592C22semidirect
105. C4⋊C4×Dic11C22semidirect
106. #10622587C22semidirect
107. #10622587C22semidirect
108. #10622587C22semidirect
109. #10622585C22semidirect
111. #10622574C22semidirect
119. #10622572C22semidirect
129. #10622569C22semidirect
136. #10622565C22semidirect
139. #10622564C22semidirect
140. #10622564C22semidirect
141. #10622563C22semidirect
144. #10622560C22semidirect
145. #10622560C22semidirect
146. #10622558C22semidirect
147. #10622558C22semidirect
152. #10622557C22semidirect
153. #10622557C22semidirect
154. #10622557C22semidirect
155. C22⋊C4×Dic11C22semidirect
156. C22⋊C4×Dic11C22semidirect
159. #10622546C22semidirect
160. #10622546C22semidirect
161. C42×Dic11C22semidirect
162. #10622542C22semidirect
170. #10622283C22semidirect
172. #10622281C22semidirect
173. #10622280C22semidirect
178. C11⋊#401C22semidirect
179. #10622273C22semidirect
180. #10622267C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622263C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
569. #2711D11semidirect
735. C2×#125C2×D11semidirect
774. #396C2×D11semidirect
789. #394C2×D11semidirect
819. #390C2×D11semidirect
853. #388C2×D11semidirect
858. #387C2×D11semidirect
873. #385C2×D11semidirect
874. #385C2×D11semidirect
1347. C11#37038semidirect

Maximal subgroups

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

subgroupindex
#130769892
#130769872
#130765452
#130762282
#130759802
#130759432
#130759062
#130756582
#130756122
#130753892
#130753882
#130753652
#130753052
#130752682
#130749442
#130748442
#130748392
#130747432
#130746802
#130737232
#130736892
#130727372
#130725672
#130725422
#130725142
#130724092
#130720732
#130714302
#130712782
#130711572
C11×#27112
#3703811