Finite Group Databasebeta

← #14962163

Subgroups — #14962163

Order 2816.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076905C211yesmaximal, characteristic
2#13076900C211yesmaximal, characteristic, complemented
3#13076383C211yesmaximal, characteristic, complemented
4#13076251C211yesmaximal, characteristic, complemented
5#13076123C211yesmaximal, characteristic, complemented
6#13076045C211yesmaximal, characteristic, complemented
7#13076043C211yesmaximal, characteristic, complemented
8#13076026C211yesmaximal, characteristic, complemented
9#13075950C211yesmaximal, characteristic, complemented
10#13075806C211yesmaximal, characteristic, complemented
11#13075705C211yesmaximal, characteristic, complemented
12#13075592C211yesmaximal, characteristic, complemented
13#13075468C211yesmaximal, characteristic, complemented
14#13075451C211yesmaximal, characteristic, complemented
15#13075186C211yesmaximal, characteristic, complemented
16#13075117C211yesmaximal, characteristic, complemented
17#13075031C211yesmaximal, characteristic, complemented
18#13074428C211yesmaximal, characteristic, complemented
19#13074401C211yesmaximal, characteristic, complemented
20#13073772C211yesmaximal, characteristic, complemented
21#13073501C211yesmaximal, characteristic
22#13073008C211yesmaximal, characteristic, complemented
23#13072935C211yesmaximal, characteristic, complemented
24#13072857C211yesmaximal, characteristic, complemented
25#13072738C211yesmaximal, characteristic
26#13072314C211yesmaximal, characteristic, complemented
27#13072060C211yesmaximal, characteristic, complemented
28#13071350C211yesmaximal, characteristic, complemented
29#13071246C211yesmaximal, characteristic, complemented
30D11×#385C211yesmaximal, characteristic, complemented
31C11×#2674C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×C4⋊Q8C2211yescharacteristic, complemented
34C2×C11×#124C2211yescharacteristic
35C2×C11×#123C2211yescharacteristic
36C2×C11×C22⋊Q8C2211yescharacteristic
37C2×#66999C2211yescharacteristic
38C2×#66999C2211yescharacteristic
39C2×#66999C2211yescharacteristic
40C2×#66990C2211yescharacteristic
41C2×#66988C2211yescharacteristic
42C2×#66949C2211yescharacteristic
43C2×C4⋊C4×D11C2211yescharacteristic
44C2×C4⋊C4×D11C2211yescharacteristic
45C2×#66936C2211yescharacteristic
46C2×(C22⋊D11)⋊C4C2211yescharacteristic
47C2×C22⋊C4×D11C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×#66932C2211yescharacteristic
50C2×#66931C2211yescharacteristic, complemented
51C11×#399C2211yescharacteristic, complemented
52C11×#397C2211yescharacteristic
53C11×#396C2211yescharacteristic, complemented
54C11×#395C2211yescharacteristic, complemented
55C11×#394C2211yescharacteristic
56C11×#393C2211yescharacteristic, complemented
57C11×#389C2211yescharacteristic, complemented
58C11×#388C2211yescharacteristic
59C11×#388C2211yescharacteristic, complemented
60C11×#387C2211yescharacteristic, complemented
61C11×#385C2211yescharacteristic
62#10622844C2211yescharacteristic
63#10622843C2211yescharacteristic, complemented
64#10622842C2211yescharacteristic, complemented
65#10622842C2211yescharacteristic, complemented
66#10622842C2211yescharacteristic, complemented
67#10622835C2211yescharacteristic
68#10622833C2211yescharacteristic
69#10622825C2211yescharacteristic
70#10622824C2211yescharacteristic
71#10622823C2211yescharacteristic
72#10622607C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622602C2211yescharacteristic
76#10622602C2211yescharacteristic
77#10622602C2211yescharacteristic
78#10622602C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622600C2211yescharacteristic
87#10622600C2211yescharacteristic
88#10622600C2211yescharacteristic
89#10622599C2211yescharacteristic, complemented
90#10622599C2211yescharacteristic, complemented
91#10622599C2211yescharacteristic, complemented
92#10622598C2211yescharacteristic, complemented
93#10622597C2211yescharacteristic, complemented
94#10622597C2211yescharacteristic, complemented
95#10622597C2211yescharacteristic, complemented
96#10622597C2211yescharacteristic, complemented
97#10622597C2211yescharacteristic, complemented
98#10622596C2211yescharacteristic, complemented
99#10622595C2211yescharacteristic, complemented
100#10622594C2211yescharacteristic, complemented
101#10622593C2211yescharacteristic, complemented
102#10622593C2211yescharacteristic, complemented
103#10622591C2211yescharacteristic, complemented
104#10622590C2211yescharacteristic, complemented
105#10622589C2211yescharacteristic, complemented
106#10622587C2211yescharacteristic, complemented
107#10622585C2211yescharacteristic, complemented
108#10622585C2211yescharacteristic, complemented
109#10622574C2211yescharacteristic
110#10622574C2211yescharacteristic
111#10622571C2211yescharacteristic
112#10622570C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622568C2211yescharacteristic
120#10622568C2211yescharacteristic
121#10622568C2211yescharacteristic
122#10622565C2211yescharacteristic
123#10622565C2211yescharacteristic
124#10622565C2211yescharacteristic
125#10622565C2211yescharacteristic, complemented
126#10622565C2211yescharacteristic, complemented
127#10622565C2211yescharacteristic, complemented
128#10622564C2211yescharacteristic
129#10622564C2211yescharacteristic
130#10622564C2211yescharacteristic, complemented
131#10622564C2211yescharacteristic, complemented
132#10622563C2211yescharacteristic
133#10622562C2211yescharacteristic, complemented
134#10622561C2211yescharacteristic
135#10622561C2211yescharacteristic, complemented
136#10622560C2211yescharacteristic
137#10622559C2211yescharacteristic
138#10622559C2211yescharacteristic
139#10622559C2211yescharacteristic
140#10622558C2211yescharacteristic
141#10622558C2211yescharacteristic
142#10622558C2211yescharacteristic, complemented
143#10622556C2211yescharacteristic
144#10622556C2211yescharacteristic, complemented
145#10622555C2211yescharacteristic, complemented
146#10622555C2211yescharacteristic, complemented
147#10622553C2211yescharacteristic
148#10622553C2211yescharacteristic
149C4×(C2×D11)⋊C4C2211yescharacteristic
150C4×(C2×D11)⋊C4C2211yescharacteristic
151#10622546C2211yescharacteristic, complemented
152#10622546C2211yescharacteristic, complemented
153#10622546C2211yescharacteristic, complemented
154#10622541C2211yescharacteristic, complemented
155#10622289C2211yescharacteristic
156#10622288C2211yescharacteristic
157#10622288C2211yescharacteristic
158#10622286C2211yescharacteristic
159#10622283C2211yescharacteristic
160#10622282C2211yescharacteristic
161#10622281C2211yescharacteristic
162#10622281C2211yescharacteristic
163#10622281C2211yescharacteristic
164#10622280C2211yescharacteristic
165#10622279C2211yescharacteristic
166#10622277C2211yescharacteristic
167#10622277C2211yescharacteristic
168#10622277C2211yescharacteristic
169D11×#95C2211yescharacteristic
170D11×#95C2211yescharacteristic
171C11⋊#401C2211yescharacteristic, complemented
172#10622273C2211yescharacteristic, complemented
173#10622273C2211yescharacteristic, complemented
174#10622272C2211yescharacteristic, complemented
175#10622272C2211yescharacteristic, complemented
176#10622272C2211yescharacteristic, complemented
177#10622270C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C22×C4×D11—42no—
197C22×C4×D11—42no—
198C22×C4×D11—42no—
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C11×C4⋊Q8—42no—
209C11×#124—42no—
210C11×#123—42no—
211C11×C22⋊Q8—42no—
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×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊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
246#66999—42no—
247#66999—42no—
248#66999—42no—
249#66990—42no—
250#66988—42no—
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302#66949—24no—
303C4⋊C4×D11—42no—
304C4⋊C4×D11—42no—
305#66936—42no—
306(C22⋊D11)⋊C4—24no—
307C22⋊C4×D11—24no—
308C22⋊C4×D11—42no—
309#66932—42no—
310#66931—42no—
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#36778—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C23×D11—22no—
367C23×D11—22no—
368C23×D11—22no—
369C23×D11—22no—
370C23×D11—22no—
371C23×D11—41no—
372C23×D11—41no—
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C2×Q8×C11—22no—
376C2×Q8×C11—41no—
377C2×Q8×C11—41no—
378C2×Q8×C11—41no—
379C2×Q8×C11—41no—
380C2×Q8×C11—41no—
381C2×D4×C11—22no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C22×C4×C11—22no—
385C22×C4×C11—22no—
386C22×C4×C11—41no—
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
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
400C2×C22⋊D11—22no—
401C2×C22⋊D11—22no—
402C2×C22⋊D11—22no—
403C2×C22⋊D11—22no—
404C2×C22⋊D11—41no—
405C2×C22⋊D11—41no—
406C22×Dic11—22no—
407C22×Dic11—22no—
408C22×Dic11—41no—
409C22×Dic11—41no—
410C22×Dic11—41no—
411C22×Dic11—41no—
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
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—41no—
436C2×C4×D11—41no—
437C2×C4×D11—41no—
438C2×C4×D11—41no—
439C2×C4×D11—41no—
440C2×C4×D11—41no—
441C2×C4×D11—41no—
442C2×C4×D11—41no—
443C2×C4×D11—41no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—416no—
450C2×C4×D11#4114yes—
451C2×Dic22—22no—
452C2×Dic22—41no—
453C2×Dic22—41no—
454C11×C4⋊C4—22no—
455C11×C4⋊C4—22no—
456C11×C4⋊C4—22no—
457C11×C4⋊C4—41no—
458C11×C4⋊C4—41no—
459C11×C4⋊C4—41no—
460C11×C4⋊C4—41no—
461C11×C4⋊C4—41no—
462C11×C4⋊C4—41no—
463C11×C4⋊C4—41no—
464C11×C22⋊C4—22no—
465C11×C22⋊C4—22no—
466C11×C22⋊C4—22no—
467C11×C22⋊C4—22no—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—22no—
470C11×C22⋊C4—41no—
471C11×C22⋊C4—41no—
472C11×C22⋊C4—41no—
473C11×C22⋊C4—41no—
474C11×C22⋊C4—41no—
475C42×C11—41no—
476C42×C11—41no—
477C22⋊Dic11—22no—
478C22⋊Dic11—22no—
479C22⋊Dic11—22no—
480C22⋊Dic11—41no—
481C22⋊Dic11—41no—
482C22⋊Dic11—41no—
483C22⋊Dic11—41no—
484C22⋊Dic11—41no—
485C22⋊Dic11—41no—
486C22⋊Dic11—41no—
487C22⋊Dic11—41no—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—22no—
492(C2×D11)⋊C4—22no—
493(C2×D11)⋊C4—22no—
494(C2×D11)⋊C4—22no—
495(C2×D11)⋊C4—22no—
496(C2×D11)⋊C4—22no—
497(C2×D11)⋊C4—22no—
498(C2×D11)⋊C4—22no—
499(C2×D11)⋊C4—22no—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502(C2×D11)⋊C4—41no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4—41no—
505(C2×D11)⋊C4—41no—
506C4⋊Dic11—22no—
507C4⋊Dic11—41no—
508C4⋊Dic11—41no—
509C4⋊Dic11—41no—
510C4⋊Dic11—41no—
511C4⋊Dic11—41no—
512C4⋊Dic11—41no—
513C4⋊Dic11—41no—
514Dic11⋊C4—22no—
515Dic11⋊C4—22no—
516Dic11⋊C4—22no—
517Dic11⋊C4—22no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529Dic11⋊C4—41no—
530Dic11⋊C4—41no—
531Dic11⋊C4—41no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534C4×Dic11—22no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539#2849—111no—
540#2848—111no—
541#2790—111no—
542#2779—111no—
543#2770—111no—
544#2765—111no—
545#2764—111no—
546#2763—111no—
547#2757—111no—
548#2746—111no—
549#2739—111no—
550#2729—111no—
551#2718—111no—
552#2717—111no—
553#2698—111no—
554#2692—111no—
555#2687—111no—
556#2674D1111yescharacteristic, complemented
557#2627—111no—
558#2623—111no—
559#2561—111no—
560#2534—111no—
561#2493—111no—
562#2488—111no—
563#2480—111no—
564#2472—111no—
565#2440—111no—
566#2417—111no—
567#2329—111no—
568#2318—111no—
569C2×#385—111no—
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×C11—21no—
583C23×C11H(5,𝔽2)12yes—
584C23×C11C2511yescharacteristic
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—28no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—44no—
597C22×D11—44no—
598C22×D11—44no—
599C22×D11—44no—
600C22×D11—44no—
601C22×D11—44no—
602C22×D11C2×#4112yes—
603C22×D11H(5,𝔽2)12yes—
604C22×D112−1+412yes—
605C22×D112−1+412yes—
606Q8×C11—82no—
607Q8×C11—82no—
608D4×C11—82no—
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—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—44no—
647C2×C4×C11C2×#4112yes—
648C2×C4×C11H(5,𝔽2)12yes—
649C22⋊D11—44no—
650C22⋊D11—82no—
651C2×Dic11—21no—
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—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—44no—
693C2×Dic11—82no—
694C2×Dic11C2×#4112yes—
695C4×D11—44no—
696C4×D11—44no—
697C4×D11—44no—
698C4×D11—44no—
699C4×D11—44no—
700C4×D11—44no—
701C4×D11—82no—
702C4×D11—82no—
703Dic22—82no—
704C24×C4—111no—
705C2×C4⋊Q8C2×D1111yescharacteristic, complemented
706C2×#126—111no—
707C2×#124C2×D1111yescharacteristic
708C2×#123—111no—
709C2×#123—111no—
710C2×#123C2×D1111yescharacteristic
711C2×C22⋊Q8—111no—
712C2×C22⋊Q8—111no—
713C2×C22⋊Q8—111no—
714C2×C22⋊Q8—111no—
715C2×C22⋊Q8—111no—
716C2×C22⋊Q8C2×D1111yescharacteristic
717C2×#120—111no—
718C2×C4×D4—111no—
719C22×C4⋊C4—111no—
720C22×C4⋊C4—111no—
721C22×C22⋊C4—111no—
722C22×C22⋊C4—111no—
723#401—111no—
724#400—111no—
725#400—111no—
726#400—111no—
727#400—111no—
728#400—111no—
729#400—111no—
730#400—111no—
731#400—111no—
732#400—111no—
733#399—111no—
734#399C2×D1111yescharacteristic, complemented
735#398—111no—
736#398—111no—
737#398—111no—
738#398—111no—
739#398—111no—
740#398—111no—
741#398—111no—
742#398—111no—
743#398—111no—
744#398—111no—
745#397—111no—
746#397—111no—
747#397—111no—
748#397—111no—
749#397—111no—
750#397—111no—
751#397—111no—
752#397—111no—
753#397C2×D1111yescharacteristic
754#396—111no—
755#396—111no—
756#396—111no—
757#396—111no—
758#396C2×D1111yescharacteristic, complemented
759#395—111no—
760#395—111no—
761#395—111no—
762#395C2×D1111yescharacteristic, complemented
763#394—111no—
764#394—111no—
765#394—111no—
766#394C2×D1111yescharacteristic
767#393—111no—
768#393—111no—
769#393—111no—
770#393C2×D1111yescharacteristic, complemented
771#391—111no—
772#391—111no—
773#391—111no—
774#391—111no—
775#390—111no—
776#389—111no—
777#389—111no—
778#389—111no—
779#389—111no—
780#389C2×D1111yescharacteristic, complemented
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388—111no—
789#388—111no—
790#388—111no—
791#388—111no—
792#388—111no—
793#388—111no—
794#388C2×D1111yescharacteristic
795#388C2×D1111yescharacteristic, complemented
796#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387—111no—
801#387—111no—
802#387—111no—
803#387—111no—
804#387C2×D1111yescharacteristic, complemented
805#386—111no—
806#386—111no—
807#386—111no—
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#386—111no—
813#385—111no—
814#385—111no—
815#385—111no—
816#385—111no—
817#385—111no—
818#385—111no—
819#385—111no—
820#385—111no—
821#385—111no—
822#385—111no—
823#385—111no—
824#385—111no—
825#385—111no—
826#385—111no—
827#385—111no—
828#385—111no—
829#385—111no—
830#385—111no—
831#385—111no—
832#385C2×D1111yescharacteristic
833#384—111no—
834#383—111no—
835#383—111no—
836#382—111no—
837#382—111no—
838#381—111no—
839#381—111no—
840#381—111no—
841#381—111no—
842#381—111no—
843#381—111no—
844#380—111no—
845#380—111no—
846#380—111no—
847#380—111no—
848#380—111no—
849#380—111no—
850#380—111no—
851#379—111no—
852#379—111no—
853#379—111no—
854C4×C22⋊C4—111no—
855C4×C22⋊C4—111no—
856C4×C22⋊C4—111no—
857C2×#95—111no—
858C2×#95—111no—
859C22×C11—22no—
860C22×C11—22no—
861C22×C11—22no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11—41no—
865C22×C11—41no—
866C22×C11—41no—
867C22×C11—41no—
868C22×C11—41no—
869C22×C11—41no—
870C22×C11—41no—
871C22×C11—41no—
872C22×C11—41no—
873C22×C11C22×#4111yescharacteristic
874C22×C11C2×H(5,𝔽2)11yescharacteristic
875C22×C11C2×H(5,𝔽2)11yescharacteristic
876C22×C11C2×H(5,𝔽2)11yescharacteristic
877C22×C11C2×2−1+411yescharacteristic
878C22×C11C2×2−1+411yescharacteristic
879C22×C11#58511yescharacteristic
880C2×D11—22no—
881C2×D11—22no—
882C2×D11—22no—
883C2×D11—22no—
884C2×D11—22no—
885C2×D11—22no—
886C2×D11—22no—
887C2×D11—22no—
888C2×D11—22no—
889C2×D11—416no—
890C2×D11—41no—
891C2×D11—41no—
892C2×D11—41no—
893C2×D11—41no—
894C2×D11#54214yes—
895C4×C11—22no—
896C4×C11—22no—
897C4×C11—41no—
898C4×C11—41no—
899C4×C11—41no—
900C4×C11—41no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907C4×C11—41no—
908Dic11—22no—
909Dic11—41no—
910Dic11—41no—
911Dic11—41no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11—41no—
920Dic11—41no—
921Dic11—41no—
922C25—111no—
923C22×Q8—111no—
924C22×Q8C22×D1111yescharacteristic
925C22×Q8C22×D1111yescharacteristic
926C22×D4—111no—
927C22×D4—111no—
928C22×D4C22×D1111yescharacteristic
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—111no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—111no—
935C23×C4—111no—
936C23×C4—111no—
937C23×C4—111no—
938C23×C4—111no—
939C23×C4—442no—
940C23×C4—442no—
941C23×C4—442no—
942C23×C4C22×D1111yescharacteristic
943C4⋊Q8—42no—
944#126—442no—
945#124—42no—
946#123—42no—
947#123—442no—
948#123—442no—
949C22⋊Q8—42no—
950C22⋊Q8—224no—
951C22⋊Q8—442no—
952C22⋊Q8—442no—
953C22⋊Q8—442no—
954C22⋊Q8—442no—
955#120—442no—
956C4×D4—224no—
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⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—442no—
986C2×C4⋊C4—442no—
987C2×C4⋊C4C22×D1111yescharacteristic
988C2×C4⋊C4C22×D1111yescharacteristic
989C2×C4⋊C4C22×D1111yescharacteristic
990C2×C4⋊C4C22×D1111yescharacteristic
991C2×C4⋊C4C22×D1111yescharacteristic
992C2×C4⋊C4C22×D1111yescharacteristic
993C2×C4⋊C4C22×D1111yescharacteristic
994C2×C4⋊C4C22×D1111yescharacteristic
995C2×C4⋊C4C22×D1111yescharacteristic
996C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—224no—
1027C2×C22⋊C4—442no—
1028C2×C22⋊C4C22×D1111yescharacteristic
1029C2×C22⋊C4C22×D1111yescharacteristic
1030C2×C22⋊C4C22×D1111yescharacteristic
1031C2×C22⋊C4C22×D1111yescharacteristic
1032C2×C22⋊C4C22×D1111yescharacteristic
1033C2×C22⋊C4C22×D1111yescharacteristic
1034C2×C22⋊C4C22×D1111yescharacteristic
1035C2×C22⋊C4C22×D1111yescharacteristic
1036C2×C22⋊C4C22×D1111yescharacteristic
1037C2×C22⋊C4C22×D1111yescharacteristic
1038C2×C22⋊C4C22×D1111yescharacteristic
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—111no—
1042C2×C42—111no—
1043C2×C42—111no—
1044C2×C42C22×D1111yescharacteristic
1045C2×C42C22×D1111yescharacteristic
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#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093#95C22×D1111yescharacteristic
1094#95C22×D1111yescharacteristic
1095#95C22×D1111yescharacteristic
1096#95C22×D1111yescharacteristic
1097#95C22×D1111yescharacteristic
1098C2×C11—42no—
1099C2×C11—81no—
1100C2×C11C2×#54211yescharacteristic
1101C2×C11#349211yescharacteristic
1102C2×C11#350511yescharacteristic
1103C2×C11#353211yescharacteristic
1104C2×C11#353511yescharacteristic
1105C2×C11#353511yescharacteristic
1106C2×C11#353811yescharacteristic
1107D11—24no—
1108D11—42no—
1109C24—111no—
1110C24—111no—
1111C24—222no—
1112C24—222no—
1113C24—222no—
1114C24—222no—
1115C24—222no—
1116C24—441no—
1117C24—441no—
1118C24C23×D1111yescharacteristic
1119C24C23×D1111yescharacteristic
1120C2×Q8—22no—
1121C2×Q8—41no—
1122C2×Q8—41no—
1123C2×Q8—41no—
1124C2×Q8—41no—
1125C2×Q8—41no—
1126C2×Q8—222no—
1127C2×Q8—441no—
1128C2×Q8—441no—
1129C2×D4—22no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—222no—
1133C2×D4—222no—
1134C2×D4—222no—
1135C2×D4—222no—
1136C2×D4—441no—
1137C2×D4—441no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—41no—
1141C22×C4—111no—
1142C22×C4—114no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—111no—
1151C22×C4—111no—
1152C22×C4—111no—
1153C22×C4—111no—
1154C22×C4—111no—
1155C22×C4—111no—
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—222no—
1165C22×C4—222no—
1166C22×C4—222no—
1167C22×C4—441no—
1168C22×C4—441no—
1169C22×C4—441no—
1170C22×C4—441no—
1171C22×C4—441no—
1172C22×C4—441no—
1173C22×C4—441no—
1174C22×C4—441no—
1175C22×C4—441no—
1176C22×C4—441no—
1177C22×C4—441no—
1178C22×C4—441no—
1179C22×C4—441no—
1180C22×C4—441no—
1181C22×C4—4416no—
1182C22×C4—441no—
1183C22×C4—441no—
1184C22×C4—441no—
1185C22×C4—441no—
1186C22×C4C23×D1111yescharacteristic
1187C22×C4C23×D1111yescharacteristic
1188C22×C4C23×D1111yescharacteristic
1189C22×C4C23×D1111yescharacteristic
1190C22×C4C23×D1111yescharacteristic
1191C22×C4C23×D1111yescharacteristic
1192C22×C4C23×D1111yescharacteristic
1193C22×C4C23×D1111yescharacteristic
1194C22×C4C23×D1111yescharacteristic
1195C22×C4C23×D1111yescharacteristic
1196C22×C4C23×D1111yescharacteristic
1197C22×C4C23×D1111yescharacteristic
1198C22×C4C23×D1111yescharacteristic
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—22no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—222no—
1210C4⋊C4—222no—
1211C4⋊C4—222no—
1212C4⋊C4—222no—
1213C4⋊C4—222no—
1214C4⋊C4—441no—
1215C4⋊C4—441no—
1216C4⋊C4—441no—
1217C4⋊C4—441no—
1218C4⋊C4—441no—
1219C4⋊C4—441no—
1220C4⋊C4—441no—
1221C4⋊C4—441no—
1222C4⋊C4—441no—
1223C4⋊C4—441no—
1224C4⋊C4—441no—
1225C4⋊C4—441no—
1226C4⋊C4—441no—
1227C4⋊C4—441no—
1228C4⋊C4—441no—
1229C4⋊C4—441no—
1230C4⋊C4—441no—
1231C4⋊C4—441no—
1232C4⋊C4—441no—
1233C4⋊C4—441no—
1234C4⋊C4—441no—
1235C4⋊C4—441no—
1236C4⋊C4—441no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—222no—
1249C22⋊C4—222no—
1250C22⋊C4—222no—
1251C22⋊C4—222no—
1252C22⋊C4—222no—
1253C22⋊C4—222no—
1254C22⋊C4—222no—
1255C22⋊C4—222no—
1256C22⋊C4—222no—
1257C22⋊C4—222no—
1258C22⋊C4—222no—
1259C22⋊C4—222no—
1260C22⋊C4—222no—
1261C22⋊C4—222no—
1262C22⋊C4—222no—
1263C22⋊C4—441no—
1264C22⋊C4—441no—
1265C22⋊C4—441no—
1266C22⋊C4—441no—
1267C22⋊C4—441no—
1268C22⋊C4—441no—
1269C22⋊C4—441no—
1270C22⋊C4—441no—
1271C22⋊C4—441no—
1272C22⋊C4—441no—
1273C22⋊C4—441no—
1274C22⋊C4—441no—
1275C22⋊C4—441no—
1276C22⋊C4—441no—
1277C42—41no—
1278C42—41no—
1279C42—222no—
1280C42—441no—
1281C42—441no—
1282C42—441no—
1283C42—441no—
1284C11#3677811yescharacteristic, complemented, Sylow
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—112no—
1299C23—112no—
1300C23—112no—
1301C23—112no—
1302C23—228no—
1303C23—221no—
1304C23—221no—
1305C23—221no—
1306C23—221no—
1307C23—221no—
1308C23—221no—
1309C23—221no—
1310C23—221no—
1311C23—221no—
1312C23—221no—
1313C23—444no—
1314C23—444no—
1315C23—444no—
1316C23—444no—
1317C23—444no—
1318C23—444no—
1319C23#6703712yes—
1320C23C24×D1111yescharacteristic
1321Q8—82no—
1322Q8—82no—
1323Q8—882no—
1324D4—82no—
1325D4—444no—
1326D4—882no—
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—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—44no—
1365C2×C4—112no—
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—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—444no—
1408C2×C4—444no—
1409C2×C4—444no—
1410C2×C4—444no—
1411C2×C4—444no—
1412C2×C4—444no—
1413C2×C4—444no—
1414C2×C4—882no—
1415C2×C4—882no—
1416C2×C4—882no—
1417C2×C4#6703712yes—
1418C2×C4#41×D1112yes—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—114no—
1434C22—222no—
1435C22—222no—
1436C22—222no—
1437C22—222no—
1438C22—222no—
1439C22—222no—
1440C22—222no—
1441C22—222no—
1442C22—222no—
1443C22—4416no—
1444C22—441no—
1445C22—441no—
1446C22—441no—
1447C22—441no—
1448C22C2×#6703711yescharacteristic
1449C22C2×#6703711yescharacteristic
1450C22C2×#41×D1111yescharacteristic
1451C22D11×H(5,𝔽2)11yescharacteristic
1452C22D11×2−1+411yescharacteristic
1453C22D11×2−1+411yescharacteristic
1454C22#1062345711yescharacteristic
1455C4—22no—
1456C4—22no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—222no—
1469C4—441no—
1470C4—441no—
1471C4—441no—
1472C4—441no—
1473C4—441no—
1474C4—441no—
1475C4—441no—
1476C4—441no—
1477C4—441no—
1478C4—441no—
1479C4—441no—
1480C4—441no—
1481C4—441no—
1482C2—42no—
1483C2—81no—
1484C2—224no—
1485C2—442no—
1486C2D11×#54211yescharacteristic
1487C2#1308231811yescharacteristic
1488C2#1308245211yescharacteristic
1489C2#1308276611yescharacteristic
1490C2#1308281511yescharacteristic
1491C2#1308282711yescharacteristic
1492C2#1308285911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2674C2
prime radicalC2×#66990C22
hypercenter#2674D11
hypocenterC11#36778
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2674

Complements

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

NH ≅ G/Ntype
2. #13076900C2semidirect
3. #13076383C2semidirect
4. #13076251C2semidirect
5. #13076123C2semidirect
6. #13076045C2semidirect
7. #13076043C2semidirect
8. #13076026C2semidirect
9. #13075950C2semidirect
10. #13075806C2semidirect
11. #13075705C2semidirect
12. #13075592C2semidirect
13. #13075468C2semidirect
14. #13075451C2semidirect
15. #13075186C2semidirect
16. #13075117C2semidirect
17. #13075031C2semidirect
18. #13074428C2semidirect
19. #13074401C2semidirect
20. #13073772C2semidirect
22. #13073008C2semidirect
23. #13072935C2semidirect
24. #13072857C2semidirect
26. #13072314C2semidirect
27. #13072060C2semidirect
28. #13071350C2semidirect
29. #13071246C2semidirect
30. D11×#385C2semidirect
31. C11×#2674C2semidirect
33. C2×C11×C4⋊Q8C22semidirect
50. C2×#66931C22semidirect
51. C11×#399C22semidirect
53. C11×#396C22semidirect
54. C11×#395C22semidirect
56. C11×#393C22semidirect
57. C11×#389C22semidirect
59. C11×#388C22semidirect
60. C11×#387C22semidirect
63. #10622843C22semidirect
64. #10622842C22semidirect
65. #10622842C22semidirect
66. #10622842C22semidirect
89. #10622599C22semidirect
90. #10622599C22semidirect
91. #10622599C22semidirect
92. #10622598C22semidirect
93. #10622597C22semidirect
94. #10622597C22semidirect
95. #10622597C22semidirect
96. #10622597C22semidirect
97. #10622597C22semidirect
98. #10622596C22semidirect
99. #10622595C22semidirect
100. #10622594C22semidirect
101. #10622593C22semidirect
102. #10622593C22semidirect
103. #10622591C22semidirect
104. #10622590C22semidirect
105. #10622589C22semidirect
106. #10622587C22semidirect
107. #10622585C22semidirect
108. #10622585C22semidirect
125. #10622565C22semidirect
126. #10622565C22semidirect
127. #10622565C22semidirect
130. #10622564C22semidirect
131. #10622564C22semidirect
133. #10622562C22semidirect
135. #10622561C22semidirect
142. #10622558C22semidirect
144. #10622556C22semidirect
145. #10622555C22semidirect
146. #10622555C22semidirect
151. #10622546C22semidirect
152. #10622546C22semidirect
153. #10622546C22semidirect
154. #10622541C22semidirect
171. C11⋊#401C22semidirect
172. #10622273C22semidirect
173. #10622273C22semidirect
174. #10622272C22semidirect
175. #10622272C22semidirect
176. #10622272C22semidirect
177. #10622270C22semidirect
178. #10622270C22semidirect
179. #10622268C22semidirect
180. #10622266C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622264C22semidirect
184. #10622263C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
556. #2674D11semidirect
705. C2×C4⋊Q8C2×D11semidirect
734. #399C2×D11semidirect
758. #396C2×D11semidirect
762. #395C2×D11semidirect
770. #393C2×D11semidirect
780. #389C2×D11semidirect
795. #388C2×D11semidirect
804. #387C2×D11semidirect
1284. C11#36778semidirect

Maximal subgroups

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

subgroupindex
#130769052
#130769002
#130763832
#130762512
#130761232
#130760452
#130760432
#130760262
#130759502
#130758062
#130757052
#130755922
#130754682
#130754512
#130751862
#130751172
#130750312
#130744282
#130744012
#130737722
#130735012
#130730082
#130729352
#130728572
#130727382
#130723142
#130720602
#130713502
#130712462
D11×#3852
C11×#26742
#3677811