Finite Group Databasebeta

← #14923458

Subgroups — #14923458

Order 2816.

1992 conjugacy classes of subgroups.

The subgroup lattice has 1474 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073482C211yesmaximal, characteristic, complemented
2#13073474C211yesmaximal, characteristic, complemented
3#13073394C211yesmaximal, characteristic, complemented
4#13073386C211yesmaximal, characteristic, complemented
5#13073268C211yesmaximal, characteristic, complemented
6#13073212C211yesmaximal, characteristic, complemented
7#13073153C211yesmaximal, characteristic, complemented
8#13073073C211yesmaximal, characteristic, complemented
9#13073048C211yesmaximal, characteristic, complemented
10#13072978C211yesmaximal, characteristic, complemented
11#13072908C211yesmaximal, characteristic, complemented
12#13072555C211yesmaximal, characteristic, complemented
13#13072553C211yesmaximal, characteristic, complemented
14#13072302C211yesmaximal, characteristic, complemented
15#13072029C211yesmaximal, characteristic
16#13071904C211yesmaximal, characteristic, complemented
17#13071901C211yesmaximal, characteristic, complemented
18#13071861C211yesmaximal, characteristic, complemented
19#13071859C211yesmaximal, characteristic, complemented
20#13071187C211yesmaximal, characteristic, complemented
21#13071157C211yesmaximal, characteristic, complemented
22#13071155C211yesmaximal, characteristic, complemented
23#13071128C211yesmaximal, characteristic, complemented
24#13071126C211yesmaximal, characteristic, complemented
25#13071110C211yesmaximal, characteristic, complemented
26#13071108C211yesmaximal, characteristic, complemented
27#13071076C211yesmaximal, characteristic, complemented
28#13071013C211yesmaximal, characteristic, complemented
29C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
30C4×#66930C211yesmaximal, characteristic, complemented
31C11×#2518C211yesmaximal, characteristic, complemented
32C2×#66992C2211yescharacteristic
33C2×D4×Dic11C2211yescharacteristic
34C2×C4×C22⋊D11C2211yescharacteristic
35C22×C4×Dic11C2211yescharacteristic
36C2×#66946C2211yescharacteristic
37C2×#66945C2211yescharacteristic
38C2×#66941C2211yescharacteristic
39C2×#66940C2211yescharacteristic
40C2×#66940C2211yescharacteristic
41C2×#66938C2211yescharacteristic
42C2×#66937C2211yescharacteristic
43C2×(C22⋊D11)⋊C4C2211yescharacteristic
44C2×(C22⋊D11)⋊C4C2211yescharacteristic
45C2×(C22⋊D11)⋊C4C2211yescharacteristic
46C2×(C22⋊D11)⋊C4C2211yescharacteristic
47C2×(C22⋊D11)⋊C4C2211yescharacteristic
48C2×#66930C2211yescharacteristic
49C2×#66930C2211yescharacteristic
50C2×#66930C2211yescharacteristic
51C2×#66928C2211yescharacteristic
52C2×C42×D11C2211yescharacteristic
53C11×#397C2211yescharacteristic
54C11×#396C2211yescharacteristic
55C11×#394C2211yescharacteristic
56C11×#394C2211yescharacteristic
57C11×#389C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#388C2211yescharacteristic
60C11×#388C2211yescharacteristic
61C11×#388C2211yescharacteristic
62C11×#387C2211yescharacteristic
63C11×#386C2211yescharacteristic
64C11×#383C2211yescharacteristic
65C11×#382C2211yescharacteristic
66C4×C11×C22⋊C4C2211yescharacteristic
67C4×C11×C22⋊C4C2211yescharacteristic
68#10622836C2211yescharacteristic
69#10622835C2211yescharacteristic
70#10622826C2211yescharacteristic
71C4×C22⋊Dic11C2211yescharacteristic
72#10622607C2211yescharacteristic
73#10622607C2211yescharacteristic
74#10622606C2211yescharacteristic
75#10622604C2211yescharacteristic
76#10622603C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622601C2211yescharacteristic
79#10622599C2211yescharacteristic
80#10622597C2211yescharacteristic
81#10622594C2211yescharacteristic
82#10622591C2211yescharacteristic
83#10622589C2211yescharacteristic
84C4⋊C4×Dic11C2211yescharacteristic
85C4⋊C4×Dic11C2211yescharacteristic
86#10622587C2211yescharacteristic
87#10622585C2211yescharacteristic
88#10622585C2211yescharacteristic
89#10622585C2211yescharacteristic
90#10622585C2211yescharacteristic
91#10622574C2211yescharacteristic
92#10622574C2211yescharacteristic
93#10622574C2211yescharacteristic
94#10622573C2211yescharacteristic
95#10622572C2211yescharacteristic
96#10622572C2211yescharacteristic
97#10622572C2211yescharacteristic
98#10622570C2211yescharacteristic
99#10622570C2211yescharacteristic
100#10622570C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622565C2211yescharacteristic
105#10622565C2211yescharacteristic
106#10622565C2211yescharacteristic
107#10622564C2211yescharacteristic
108#10622564C2211yescharacteristic
109#10622561C2211yescharacteristic
110#10622560C2211yescharacteristic
111#10622560C2211yescharacteristic
112#10622560C2211yescharacteristic
113#10622558C2211yescharacteristic
114#10622558C2211yescharacteristic
115#10622557C2211yescharacteristic
116#10622557C2211yescharacteristic
117#10622555C2211yescharacteristic
118C22⋊C4×Dic11C2211yescharacteristic
119C22⋊C4×Dic11C2211yescharacteristic
120C22⋊C4×Dic11C2211yescharacteristic
121C22⋊C4×Dic11C2211yescharacteristic
122C22⋊C4×Dic11C2211yescharacteristic
123C22⋊C4×Dic11C2211yescharacteristic
124C22⋊C4×Dic11C2211yescharacteristic
125#10622553C2211yescharacteristic
126#10622553C2211yescharacteristic
127#10622553C2211yescharacteristic
128#10622553C2211yescharacteristic
129C4×(C2×D11)⋊C4C2211yescharacteristic
130#10622550C2211yescharacteristic
131#10622546C2211yescharacteristic
132C4×Dic11⋊C4C2211yescharacteristic
133C4×Dic11⋊C4C2211yescharacteristic
134C4×Dic11⋊C4C2211yescharacteristic
135C42×Dic11C2211yescharacteristic
136C42×Dic11C2211yescharacteristic
137C42×Dic11C2211yescharacteristic
138#10622541C2211yescharacteristic
139#10622288C2211yescharacteristic
140#10622286C2211yescharacteristic
141#10622283C2211yescharacteristic
142#10622283C2211yescharacteristic
143#10622282C2211yescharacteristic
144#10622282C2211yescharacteristic
145#10622282C2211yescharacteristic
146#10622282C2211yescharacteristic
147#10622282C2211yescharacteristic
148#10622282C2211yescharacteristic
149#10622280C2211yescharacteristic
150#10622280C2211yescharacteristic
151#10622280C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622277C2211yescharacteristic
161#10622277C2211yescharacteristic
162#10622272C2211yescharacteristic
163#10622271C2211yescharacteristic
164#10622271C2211yescharacteristic
165#10622270C2211yescharacteristic
166#10622268C2211yescharacteristic
167#10622267C2211yescharacteristic
168#10622266C2211yescharacteristic
169#10622265C2211yescharacteristic
170#10622263C2211yescharacteristic
171#10622263C2211yescharacteristic
172#10622263C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622261C2211yescharacteristic
179#10622261C2211yescharacteristic
180#10622261C2211yescharacteristic
181#10622261C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×D4×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233#66992—24no—
234D4×Dic11—42no—
235C4×C22⋊D11—24no—
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×C4×Dic11—24no—
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302#66946—42no—
303#66945—24no—
304#66941—24no—
305#66940—42no—
306#66940—42no—
307#66938—24no—
308#66937—24no—
309(C22⋊D11)⋊C4—24no—
310(C22⋊D11)⋊C4—24no—
311(C22⋊D11)⋊C4—24no—
312(C22⋊D11)⋊C4—42no—
313(C22⋊D11)⋊C4—42no—
314#66930—24no—
315#66930—24no—
316#66930—24no—
317#66928—24no—
318C42×D11—24no—
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#34800—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C2×D4×C11—22no—
369C2×D4×C11—41no—
370C2×D4×C11—41no—
371C22×C4×C11—22no—
372C22×C4×C11—22no—
373C22×C4×C11—41no—
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C2×C22⋊D11—22no—
388C2×C22⋊D11—22no—
389C2×C22⋊D11—22no—
390C2×C22⋊D11—22no—
391C2×C22⋊D11—22no—
392C2×C22⋊D11—22no—
393C2×C22⋊D11—22no—
394C2×C22⋊D11—22no—
395C2×C22⋊D11—22no—
396C2×C22⋊D11—41no—
397C2×C22⋊D11—41no—
398C2×C22⋊D11—41no—
399C22×Dic11—22no—
400C22×Dic11—22no—
401C22×Dic11—22no—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—22no—
405C22×Dic11—22no—
406C22×Dic11—22no—
407C22×Dic11#4114yes—
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C2×D44—22no—
423C2×D44—22no—
424C2×D44—41no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—22no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—41no—
437C2×Dic22—22no—
438C2×Dic22—22no—
439C2×Dic22—22no—
440C2×Dic22—22no—
441C2×Dic22—41no—
442C2×Dic22—41no—
443C11×C4⋊C4—22no—
444C11×C4⋊C4—22no—
445C11×C4⋊C4—41no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4—41no—
448C11×C4⋊C4—41no—
449C11×C22⋊C4—22no—
450C11×C22⋊C4—22no—
451C11×C22⋊C4—22no—
452C11×C22⋊C4—22no—
453C11×C22⋊C4—22no—
454C11×C22⋊C4—22no—
455C11×C22⋊C4—22no—
456C11×C22⋊C4—22no—
457C11×C22⋊C4—41no—
458C11×C22⋊C4—41no—
459C11×C22⋊C4—41no—
460C42×C11—22no—
461C42×C11—22no—
462C42×C11—41no—
463C42×C11—41no—
464C22⋊Dic11—22no—
465C22⋊Dic11—22no—
466C22⋊Dic11—22no—
467C22⋊Dic11—22no—
468C22⋊Dic11—22no—
469C22⋊Dic11—22no—
470C22⋊Dic11—41no—
471C22⋊Dic11—41no—
472C22⋊Dic11—41no—
473(C2×D11)⋊C4—22no—
474(C2×D11)⋊C4—22no—
475(C2×D11)⋊C4—22no—
476(C2×D11)⋊C4—22no—
477(C2×D11)⋊C4—22no—
478(C2×D11)⋊C4—22no—
479(C2×D11)⋊C4—22no—
480(C2×D11)⋊C4—22no—
481(C2×D11)⋊C4—22no—
482(C2×D11)⋊C4—22no—
483(C2×D11)⋊C4—22no—
484(C2×D11)⋊C4—41no—
485(C2×D11)⋊C4—41no—
486(C2×D11)⋊C4—41no—
487(C2×D11)⋊C4—41no—
488(C2×D11)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491(C2×D11)⋊C4—41no—
492(C2×D11)⋊C4#4114yes—
493C4⋊Dic11—22no—
494C4⋊Dic11—22no—
495C4⋊Dic11—41no—
496C4⋊Dic11—41no—
497Dic11⋊C4—22no—
498Dic11⋊C4—22no—
499Dic11⋊C4—22no—
500Dic11⋊C4—22no—
501Dic11⋊C4—22no—
502Dic11⋊C4—22no—
503Dic11⋊C4—22no—
504Dic11⋊C4—22no—
505Dic11⋊C4—22no—
506Dic11⋊C4—22no—
507Dic11⋊C4—22no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4#4114yes—
515C4×Dic11—22no—
516C4×Dic11—22no—
517C4×Dic11—22no—
518C4×Dic11—22no—
519C4×Dic11—22no—
520C4×Dic11—22no—
521C4×Dic11—22no—
522C4×Dic11—22no—
523C4×Dic11—22no—
524C4×Dic11—22no—
525C4×Dic11—22no—
526C4×Dic11—22no—
527C4×Dic11—22no—
528C4×Dic11—22no—
529C4×Dic11—22no—
530C4×Dic11—22no—
531C4×Dic11—22no—
532C4×Dic11—22no—
533C4×Dic11—22no—
534C4×Dic11—22no—
535C4×Dic11—41no—
536C4×Dic11#4114yes—
537C4×Dic11#4114yes—
538#2532—111no—
539#2532—111no—
540#2526—111no—
541#2526—111no—
542#2518—111no—
543#2518D1111yescharacteristic, complemented
544#2513—111no—
545#2508—111no—
546#2500—111no—
547#2497—111no—
548#2491—111no—
549#2485—111no—
550#2459—111no—
551#2459—111no—
552#2439—111no—
553#2414—111no—
554#2398—111no—
555#2398—111no—
556#2392—111no—
557#2392—111no—
558C4×C4⋊Q8—111no—
559C4×#124—111no—
560C4×#124—111no—
561C4×#121—111no—
562C4×#121—111no—
563#2298—111no—
564#2298—111no—
565#2293—111no—
566#2283—111no—
567C42×D4—111no—
568C4×#117—111no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11C2×#4112yes—
583C23×C11C2511yescharacteristic
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11C2×#4112yes—
598D4×C11—44no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—44no—
635C2×C4×C11C2×#4112yes—
636C2×C4×C11C2×#4112yes—
637C2×C4×C11C2×#4112yes—
638C2×C4×C11C2×#4112yes—
639C22⋊D11—28no—
640C22⋊D11—44no—
641C22⋊D11—44no—
642C22⋊D11—44no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—28no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—44no—
677C2×Dic11—44no—
678C2×Dic11C2×#4112yes—
679C2×Dic11C2×#4112yes—
680C2×Dic11C2×#4112yes—
681C2×Dic11C2×#4112yes—
682C2×Dic11C2×#4112yes—
683C2×Dic11C2×#4112yes—
684C2×Dic11C2×#4112yes—
685C2×Dic11C2×#4112yes—
686C2×Dic11C2×#4112yes—
687C2×Dic11H(5,𝔽2)12yes—
688D44—44no—
689C4×D11—44no—
690C4×D11—44no—
691C4×D11—44no—
692C4×D11—44no—
693Dic22—44no—
694Dic22—44no—
695C2×C4⋊Q8—111no—
696C2×#124—111no—
697C2×#124—111no—
698C2×#121—111no—
699C2×#121—111no—
700C2×C4×Q8—111no—
701C2×C4×Q8—111no—
702C2×C4×D4—111no—
703C2×C4×D4—111no—
704C2×C4×D4—111no—
705C2×C4×D4—111no—
706C2×C4×D4—111no—
707C2×C4×D4—111no—
708C2×C4×D4—111no—
709C2×C4×D4—111no—
710C2×#117—111no—
711C2×#117—111no—
712C2×#117—111no—
713C2×#117—111no—
714C22×C42—111no—
715C22×C42—111no—
716#400—111no—
717#400—111no—
718#400—111no—
719#400—111no—
720#398—111no—
721#398—111no—
722#397—111no—
723#397—111no—
724#397—111no—
725#397—111no—
726#397—111no—
727#397C2×D1111yescharacteristic
728#396—111no—
729#396—111no—
730#396—111no—
731#396C2×D1111yescharacteristic
732#394—111no—
733#394—111no—
734#394—111no—
735#394—111no—
736#394—111no—
737#394—111no—
738#394—111no—
739#394—111no—
740#394C2×D1111yescharacteristic
741#394C2×D1111yescharacteristic
742#393—111no—
743#393—111no—
744#393—111no—
745#393—111no—
746#392—111no—
747#392—111no—
748#391—111no—
749#391—111no—
750#391—111no—
751#391—111no—
752#390—111no—
753#390—111no—
754#390—111no—
755#390—111no—
756#390—111no—
757#390—111no—
758#389—111no—
759#389—111no—
760#389—111no—
761#389—111no—
762#389—111no—
763#389—111no—
764#389—111no—
765#389C2×D1111yescharacteristic
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388—111no—
771#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
776#388—111no—
777#388—111no—
778#388—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388C2×D1111yescharacteristic
787#388C2×D1111yescharacteristic
788#388C2×D1111yescharacteristic
789#388C2×D1111yescharacteristic
790#387—111no—
791#387—111no—
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#387C2×D1111yescharacteristic
798#386—111no—
799#386—111no—
800#386—111no—
801#386C2×D1111yescharacteristic
802#384—111no—
803#383—111no—
804#383C2×D1111yescharacteristic
805#382—111no—
806#382—111no—
807#382—111no—
808#382C2×D1111yescharacteristic
809#381—111no—
810#381—111no—
811#380—111no—
812#380—111no—
813#380—111no—
814#380—111no—
815C4×C4⋊C4—111no—
816C4×C4⋊C4—111no—
817C4×C4⋊C4—111no—
818C4×C4⋊C4—111no—
819C4×C4⋊C4—111no—
820C4×C4⋊C4—111no—
821C4×C4⋊C4—111no—
822C4×C4⋊C4—111no—
823C4×C4⋊C4—111no—
824C4×C4⋊C4—111no—
825C4×C22⋊C4—111no—
826C4×C22⋊C4—111no—
827C4×C22⋊C4—111no—
828C4×C22⋊C4—111no—
829C4×C22⋊C4—111no—
830C4×C22⋊C4—111no—
831C4×C22⋊C4—111no—
832C4×C22⋊C4—111no—
833C4×C22⋊C4—111no—
834C4×C22⋊C4—111no—
835C4×C22⋊C4—111no—
836C4×C22⋊C4—111no—
837C4×C22⋊C4—111no—
838C4×C22⋊C4—111no—
839C4×C22⋊C4—111no—
840C4×C22⋊C4—111no—
841C4×C22⋊C4C2×D1111yescharacteristic
842C4×C22⋊C4C2×D1111yescharacteristic
843#376—111no—
844#376—111no—
845#376—111no—
846#376—111no—
847C43—111no—
848C43—111no—
849C43—111no—
850C22×C11—22no—
851C22×C11—22no—
852C22×C11—22no—
853C22×C11—41no—
854C22×C11—41no—
855C22×C11—41no—
856C22×C11—41no—
857C22×C11—41no—
858C22×C11—41no—
859C22×C11—41no—
860C22×C11—41no—
861C22×C11—41no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11C22×#4111yescharacteristic
865C22×C11C22×#4111yescharacteristic
866C22×C11C22×#4111yescharacteristic
867C22×C11C22×#4111yescharacteristic
868C22×C11C22×#4111yescharacteristic
869C22×C11C2×H(5,𝔽2)11yescharacteristic
870C22×C11#58511yescharacteristic
871C2×D11—22no—
872C2×D11—22no—
873C2×D11—22no—
874C2×D11—41no—
875C2×D11—41no—
876C2×D11—41no—
877C2×D11—41no—
878C2×D11—41no—
879C2×D11—41no—
880C2×D11—41no—
881C2×D11—41no—
882C2×D11—41no—
883C2×D11—41no—
884C2×D11—41no—
885C4×C11—22no—
886C4×C11—22no—
887C4×C11—22no—
888C4×C11—22no—
889C4×C11—41no—
890C4×C11—41no—
891C4×C11—41no—
892C4×C11—41no—
893C4×C11—41no—
894C4×C11—41no—
895C4×C11—41no—
896C4×C11—41no—
897C4×C11—41no—
898Dic11—22no—
899Dic11—22no—
900Dic11—22no—
901Dic11—22no—
902Dic11—41no—
903Dic11—41no—
904Dic11—41no—
905Dic11—41no—
906Dic11—41no—
907Dic11—41no—
908Dic11—41no—
909Dic11—41no—
910Dic11#52914yes—
911Dic11#55514yes—
912C22×Q8—111no—
913C22×Q8—111no—
914C22×D4—111no—
915C22×D4—111no—
916C22×D4—111no—
917C22×D4—111no—
918C22×D4—111no—
919C22×D4C22×D1111yescharacteristic
920C23×C4—111no—
921C23×C4—111no—
922C23×C4—111no—
923C23×C4—111no—
924C23×C4—111no—
925C23×C4—111no—
926C23×C4—111no—
927C23×C4C22×D1111yescharacteristic
928C4⋊Q8—224no—
929#124—224no—
930#124—224no—
931#121—224no—
932#121—224no—
933C4×Q8—442no—
934C4×Q8—442no—
935C4×D4—224no—
936C4×D4—224no—
937C4×D4—224no—
938C4×D4—224no—
939C4×D4—442no—
940C4×D4—442no—
941C4×D4—442no—
942C4×D4—442no—
943#117—224no—
944#117—224no—
945#117—224no—
946#117—224no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4C22×D1111yescharacteristic
970C2×C4⋊C4C22×D1111yescharacteristic
971C2×C4⋊C4C22×D1111yescharacteristic
972C2×C4⋊C4C22×D1111yescharacteristic
973C2×C4⋊C4C22×D1111yescharacteristic
974C2×C4⋊C4C22×D1111yescharacteristic
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4—111no—
984C2×C22⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4C22×D1111yescharacteristic
1005C2×C22⋊C4C22×D1111yescharacteristic
1006C2×C22⋊C4C22×D1111yescharacteristic
1007C2×C22⋊C4C22×D1111yescharacteristic
1008C2×C22⋊C4C22×D1111yescharacteristic
1009C2×C22⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4C22×D1111yescharacteristic
1011C2×C22⋊C4C22×D1111yescharacteristic
1012C2×C22⋊C4C22×D1111yescharacteristic
1013C2×C22⋊C4C22×D1111yescharacteristic
1014C2×C22⋊C4C22×D1111yescharacteristic
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42—111no—
1018C2×C42—111no—
1019C2×C42—111no—
1020C2×C42—111no—
1021C2×C42—111no—
1022C2×C42—111no—
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—111no—
1028C2×C42—111no—
1029C2×C42—111no—
1030C2×C42—111no—
1031C2×C42—111no—
1032C2×C42—111no—
1033C2×C42—111no—
1034C2×C42—111no—
1035C2×C42—111no—
1036C2×C42—111no—
1037C2×C42—111no—
1038C2×C42—224no—
1039C2×C42—224no—
1040C2×C42C22×D1111yescharacteristic
1041C2×C42C22×D1111yescharacteristic
1042C2×C42C22×D1111yescharacteristic
1043C2×C42C22×D1111yescharacteristic
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95C22×D1111yescharacteristic
1077#95C22×D1111yescharacteristic
1078#95C22×D1111yescharacteristic
1079#95C22×D1111yescharacteristic
1080#95C22×D1111yescharacteristic
1081#95C22×D1111yescharacteristic
1082#95C22×D1111yescharacteristic
1083#95C22×D1111yescharacteristic
1084#95C22×D1111yescharacteristic
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088C2×C11—42no—
1089C2×C11—81no—
1090C2×C11C2×#52911yescharacteristic
1091C2×C11#344411yescharacteristic
1092C2×C11#346011yescharacteristic
1093C2×C11C2×#55511yescharacteristic
1094C2×C11#347511yescharacteristic
1095C2×C11#348011yescharacteristic
1096C2×C11#348111yescharacteristic
1097D11—42no—
1098D11—81no—
1099C24—111no—
1100C24—111no—
1101C24C23×D1111yescharacteristic
1102C24C23×D1111yescharacteristic
1103C2×Q8—222no—
1104C2×Q8—222no—
1105C2×Q8—222no—
1106C2×Q8—222no—
1107C2×Q8—441no—
1108C2×Q8—441no—
1109C2×D4—22no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—222no—
1113C2×D4—222no—
1114C2×D4—222no—
1115C2×D4—222no—
1116C2×D4—222no—
1117C2×D4—222no—
1118C2×D4—222no—
1119C2×D4—222no—
1120C2×D4—222no—
1121C2×D4—222no—
1122C2×D4—222no—
1123C2×D4—441no—
1124C2×D4—441no—
1125C2×D4—441no—
1126C2×D4—441no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—41no—
1130C22×C4—111no—
1131C22×C4—111no—
1132C22×C4—114no—
1133C22×C4—111no—
1134C22×C4—111no—
1135C22×C4—111no—
1136C22×C4—111no—
1137C22×C4—111no—
1138C22×C4—111no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—111no—
1142C22×C4—111no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—222no—
1146C22×C4—222no—
1147C22×C4—222no—
1148C22×C4—222no—
1149C22×C4—222no—
1150C22×C4—222no—
1151C22×C4—222no—
1152C22×C4—222no—
1153C22×C4—222no—
1154C22×C4—222no—
1155C22×C4—222no—
1156C22×C4—222no—
1157C22×C4—222no—
1158C22×C4—222no—
1159C22×C4—222no—
1160C22×C4—222no—
1161C22×C4—222no—
1162C22×C4—222no—
1163C22×C4—222no—
1164C22×C4—441no—
1165C22×C4C23×D1111yescharacteristic
1166C22×C4C23×D1111yescharacteristic
1167C22×C4C23×D1111yescharacteristic
1168C22×C4C23×D1111yescharacteristic
1169C22×C4C23×D1111yescharacteristic
1170C22×C4C23×D1111yescharacteristic
1171C22×C4C23×D1111yescharacteristic
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1111yescharacteristic
1174C22×C4C23×D1111yescharacteristic
1175C22×C4C23×D1111yescharacteristic
1176C22×C4C23×D1111yescharacteristic
1177C22×C4C23×D1111yescharacteristic
1178C4⋊C4—22no—
1179C4⋊C4—22no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—114no—
1185C4⋊C4—222no—
1186C4⋊C4—222no—
1187C4⋊C4—222no—
1188C4⋊C4—222no—
1189C4⋊C4—222no—
1190C4⋊C4—222no—
1191C4⋊C4—222no—
1192C4⋊C4—222no—
1193C4⋊C4—222no—
1194C4⋊C4—222no—
1195C4⋊C4—222no—
1196C4⋊C4—222no—
1197C4⋊C4—222no—
1198C4⋊C4—441no—
1199C4⋊C4—441no—
1200C4⋊C4—441no—
1201C4⋊C4—441no—
1202C4⋊C4—441no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—114no—
1218C22⋊C4—222no—
1219C22⋊C4—222no—
1220C22⋊C4—222no—
1221C22⋊C4—222no—
1222C22⋊C4—222no—
1223C22⋊C4—222no—
1224C22⋊C4—222no—
1225C22⋊C4—222no—
1226C22⋊C4—222no—
1227C22⋊C4—222no—
1228C22⋊C4—222no—
1229C22⋊C4—222no—
1230C22⋊C4—222no—
1231C22⋊C4—222no—
1232C22⋊C4—222no—
1233C22⋊C4—222no—
1234C22⋊C4—222no—
1235C22⋊C4—441no—
1236C22⋊C4—441no—
1237C22⋊C4—441no—
1238C22⋊C4—441no—
1239C22⋊C4—441no—
1240C22⋊C4—441no—
1241C22⋊C4—441no—
1242C22⋊C4—441no—
1243C22⋊C4—441no—
1244C22⋊C4—441no—
1245C22⋊C4—441no—
1246C42—22no—
1247C42—22no—
1248C42—41no—
1249C42—41no—
1250C42—114no—
1251C42—114no—
1252C42—222no—
1253C42—222no—
1254C42—222no—
1255C42—222no—
1256C42—222no—
1257C42—222no—
1258C42—222no—
1259C42—222no—
1260C42—222no—
1261C42—222no—
1262C42—222no—
1263C42—222no—
1264C42—222no—
1265C42—222no—
1266C42—222no—
1267C42—222no—
1268C42—222no—
1269C42—222no—
1270C42—222no—
1271C42—222no—
1272C42—441no—
1273C11#3480011yescharacteristic, complemented, Sylow
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—112no—
1288C23—221no—
1289C23—221no—
1290C23—221no—
1291C23—221no—
1292C23—221no—
1293C23—221no—
1294C23—221no—
1295C23—221no—
1296C23—221no—
1297C23—221no—
1298C23—221no—
1299C23—221no—
1300C23—221no—
1301C23#41×D1112yes—
1302C23C24×D1111yescharacteristic
1303Q8—444no—
1304Q8—444no—
1305D4—44no—
1306D4—228no—
1307D4—444no—
1308D4—444no—
1309D4—444no—
1310D4—444no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—44no—
1347C2×C4—112no—
1348C2×C4—112no—
1349C2×C4—112no—
1350C2×C4—112no—
1351C2×C4—112no—
1352C2×C4—112no—
1353C2×C4—112no—
1354C2×C4—112no—
1355C2×C4—112no—
1356C2×C4—112no—
1357C2×C4—228no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—444no—
1391C2×C4—444no—
1392C2×C4—444no—
1393C2×C4—444no—
1394C2×C4—444no—
1395C2×C4—444no—
1396C2×C4#41×D1112yes—
1397C2×C4#41×D1112yes—
1398C2×C4#41×D1112yes—
1399C2×C4#41×D1112yes—
1400C22—22no—
1401C22—22no—
1402C22—22no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—222no—
1415C22—222no—
1416C22—222no—
1417C22—441no—
1418C22—441no—
1419C22—441no—
1420C22—441no—
1421C22—441no—
1422C22—441no—
1423C22—441no—
1424C22—441no—
1425C22—441no—
1426C22—441no—
1427C22—441no—
1428C22C2×#41×D1111yescharacteristic
1429C22C2×#41×D1111yescharacteristic
1430C22C2×#41×D1111yescharacteristic
1431C22C2×#41×D1111yescharacteristic
1432C22C2×#41×D1111yescharacteristic
1433C22D11×H(5,𝔽2)11yescharacteristic
1434C22#1062345511yescharacteristic
1435C4—22no—
1436C4—22no—
1437C4—22no—
1438C4—22no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—114no—
1449C4—114no—
1450C4—222no—
1451C4—222no—
1452C4—222no—
1453C4—222no—
1454C4—441no—
1455C4—441no—
1456C4—441no—
1457C4—441no—
1458C4—441no—
1459C4—441no—
1460C4—441no—
1461C4—441no—
1462C2—42no—
1463C2—81no—
1464C2—442no—
1465C2—881no—
1466C2D11×#52911yescharacteristic
1467C2#1308191011yescharacteristic
1468C2#1308203511yescharacteristic
1469C2D11×#55511yescharacteristic
1470C2#1308217111yescharacteristic
1471C2#1308221011yescharacteristic
1472C2#1308222311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2518C2
prime radical#13072029C2
hypercenter#2518D11
hypocenterC11#34800
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2518

Complements

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

NH ≅ G/Ntype
1. #13073482C2semidirect
2. #13073474C2semidirect
3. #13073394C2semidirect
4. #13073386C2semidirect
5. #13073268C2semidirect
6. #13073212C2semidirect
7. #13073153C2semidirect
8. #13073073C2semidirect
9. #13073048C2semidirect
10. #13072978C2semidirect
11. #13072908C2semidirect
12. #13072555C2semidirect
13. #13072553C2semidirect
14. #13072302C2semidirect
16. #13071904C2semidirect
17. #13071901C2semidirect
18. #13071861C2semidirect
19. #13071859C2semidirect
20. #13071187C2semidirect
21. #13071157C2semidirect
22. #13071155C2semidirect
23. #13071128C2semidirect
24. #13071126C2semidirect
25. #13071110C2semidirect
26. #13071108C2semidirect
27. #13071076C2semidirect
28. #13071013C2semidirect
29. C4×(C22⋊D11)⋊C4C2semidirect
30. C4×#66930C2semidirect
31. C11×#2518C2semidirect
543. #2518D11semidirect
1273. C11#34800semidirect

Maximal subgroups

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

subgroupindex
#130734822
#130734742
#130733942
#130733862
#130732682
#130732122
#130731532
#130730732
#130730482
#130729782
#130729082
#130725552
#130725532
#130723022
#130720292
#130719042
#130719012
#130718612
#130718592
#130711872
#130711572
#130711552
#130711282
#130711262
#130711102
#130711082
#130710762
#130710132
C4×(C22⋊D11)⋊C42
C4×#669302
C11×#25182
#3480011