Finite Group Databasebeta

← #14960959

Subgroups — #14960959

Order 2816.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1546 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076902C211yesmaximal, characteristic, complemented
2#13076895C211yesmaximal, characteristic
3#13075802C211yesmaximal, characteristic, complemented
4#13075798C211yesmaximal, characteristic, complemented
5#13075784C211yesmaximal, characteristic, complemented
6#13075780C211yesmaximal, characteristic, complemented
7#13075690C211yesmaximal, characteristic, complemented
8#13075686C211yesmaximal, characteristic, complemented
9#13075676C211yesmaximal, characteristic, complemented
10#13075664C211yesmaximal, characteristic, complemented
11#13075236C211yesmaximal, characteristic, complemented
12#13075232C211yesmaximal, characteristic, complemented
13#13075220C211yesmaximal, characteristic, complemented
14#13075208C211yesmaximal, characteristic, complemented
15#13075038C211yesmaximal, characteristic, complemented
16#13075034C211yesmaximal, characteristic, complemented
17#13075018C211yesmaximal, characteristic, complemented
18#13074729C211yesmaximal, characteristic, complemented
19#13074547C211yesmaximal, characteristic, complemented
20#13073175C211yesmaximal, characteristic, complemented
21#13073169C211yesmaximal, characteristic, complemented
22#13072738C211yesmaximal, characteristic, complemented
23#13072737C211yesmaximal, characteristic, complemented
24#13072447C211yesmaximal, characteristic, complemented
25#13072433C211yesmaximal, characteristic, complemented
26#13072077C211yesmaximal, characteristic, complemented
27#13072073C211yesmaximal, characteristic, complemented
28#13071343C211yesmaximal, characteristic, complemented
29#13071318C211yesmaximal, characteristic, complemented
30D11×#381C211yesmaximal, characteristic, complemented
31C11×#2686C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#124C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×#66991C2211yescharacteristic
37C2×#66991C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×#66990C2211yescharacteristic
40C2×#66989C2211yescharacteristic
41C2×#66982C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×#66949C2211yescharacteristic
44C2×#66949C2211yescharacteristic
45C2×#66949C2211yescharacteristic
46C2×#66939C2211yescharacteristic
47C2×(C22⋊D11)⋊C4C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×#66931C2211yescharacteristic
51C11×#397C2211yescharacteristic, complemented
52C11×#395C2211yescharacteristic, complemented
53C11×#394C2211yescharacteristic
54C11×#394C2211yescharacteristic
55C11×#394C2211yescharacteristic, complemented
56C11×#393C2211yescharacteristic, complemented
57C11×#388C2211yescharacteristic, complemented
58C11×#387C2211yescharacteristic, complemented
59C11×#386C2211yescharacteristic
60C11×#386C2211yescharacteristic, complemented
61C11×#385C2211yescharacteristic
62C11×#381C2211yescharacteristic
63C11×#380C2211yescharacteristic, complemented
64#10622844C2211yescharacteristic
65#10622843C2211yescharacteristic, complemented
66#10622842C2211yescharacteristic, complemented
67#10622835C2211yescharacteristic
68#10622835C2211yescharacteristic
69#10622835C2211yescharacteristic, complemented
70#10622833C2211yescharacteristic
71#10622833C2211yescharacteristic
72#10622833C2211yescharacteristic
73#10622833C2211yescharacteristic, complemented
74#10622825C2211yescharacteristic
75#10622824C2211yescharacteristic
76#10622823C2211yescharacteristic
77#10622823C2211yescharacteristic, complemented
78#10622823C2211yescharacteristic, complemented
79#10622603C2211yescharacteristic
80#10622603C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622600C2211yescharacteristic
84#10622600C2211yescharacteristic
85#10622600C2211yescharacteristic
86#10622599C2211yescharacteristic, complemented
87#10622598C2211yescharacteristic, complemented
88#10622596C2211yescharacteristic, complemented
89#10622596C2211yescharacteristic, complemented
90#10622595C2211yescharacteristic, complemented
91#10622595C2211yescharacteristic, complemented
92#10622594C2211yescharacteristic, complemented
93#10622592C2211yescharacteristic, complemented
94#10622592C2211yescharacteristic, complemented
95#10622591C2211yescharacteristic, complemented
96#10622574C2211yescharacteristic
97#10622574C2211yescharacteristic
98#10622572C2211yescharacteristic
99#10622572C2211yescharacteristic
100#10622570C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622569C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622568C2211yescharacteristic
113#10622568C2211yescharacteristic
114#10622566C2211yescharacteristic, complemented
115#10622565C2211yescharacteristic
116#10622565C2211yescharacteristic
117#10622565C2211yescharacteristic, complemented
118#10622565C2211yescharacteristic, complemented
119#10622565C2211yescharacteristic, complemented
120#10622565C2211yescharacteristic, complemented
121#10622564C2211yescharacteristic
122#10622564C2211yescharacteristic
123#10622564C2211yescharacteristic, complemented
124#10622563C2211yescharacteristic, complemented
125#10622562C2211yescharacteristic
126#10622562C2211yescharacteristic
127#10622561C2211yescharacteristic, complemented
128#10622561C2211yescharacteristic, complemented
129#10622560C2211yescharacteristic, complemented
130#10622560C2211yescharacteristic, complemented
131#10622560C2211yescharacteristic, complemented
132#10622559C2211yescharacteristic, complemented
133#10622558C2211yescharacteristic
134#10622558C2211yescharacteristic, complemented
135#10622557C2211yescharacteristic
136#10622557C2211yescharacteristic, complemented
137#10622557C2211yescharacteristic, complemented
138#10622557C2211yescharacteristic, complemented
139#10622556C2211yescharacteristic
140#10622556C2211yescharacteristic
141#10622555C2211yescharacteristic
142#10622555C2211yescharacteristic, complemented
143#10622553C2211yescharacteristic
144C4×(C2×D11)⋊C4C2211yescharacteristic
145#10622546C2211yescharacteristic, complemented
146#10622542C2211yescharacteristic, complemented
147#10622288C2211yescharacteristic
148#10622288C2211yescharacteristic
149#10622286C2211yescharacteristic
150#10622282C2211yescharacteristic
151#10622281C2211yescharacteristic
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622280C2211yescharacteristic
156#10622280C2211yescharacteristic
157#10622280C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622277C2211yescharacteristic
160#10622277C2211yescharacteristic
161#10622277C2211yescharacteristic
162#10622277C2211yescharacteristic
163D11×#95C2211yescharacteristic
164D11×#95C2211yescharacteristic
165D11×#95C2211yescharacteristic
166D11×#95C2211yescharacteristic
167C11⋊#401C2211yescharacteristic, complemented
168C11⋊#401C2211yescharacteristic, complemented
169#10622274C2211yescharacteristic, complemented
170#10622273C2211yescharacteristic, complemented
171#10622272C2211yescharacteristic, complemented
172#10622271C2211yescharacteristic, complemented
173#10622270C2211yescharacteristic, complemented
174#10622270C2211yescharacteristic, complemented
175#10622270C2211yescharacteristic, complemented
176#10622268C2211yescharacteristic, complemented
177#10622267C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C22×C4×D11—24no—
201C22×C4×D11—42no—
202C22×C4×D11—42no—
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C11×#124—42no—
214C11×#121—42no—
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊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×C22⋊Dic11C2311yescharacteristic
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
250C2×C22⋊Dic11C2311yescharacteristic
251#66999—42no—
252#66991—24no—
253#66991—42no—
254#66990—42no—
255#66990—42no—
256#66989—42no—
257#66982—42no—
258C4×C22⋊D11—42no—
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×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303#66949—24no—
304#66949—42no—
305#66949—42no—
306#66939—42no—
307(C22⋊D11)⋊C4—42no—
308C22⋊C4×D11—42no—
309C22⋊C4×D11—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#36730—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C23×D11—22no—
368C23×D11—22no—
369C23×D11—22no—
370C23×D11—22no—
371C23×D11—22no—
372C23×D11—41no—
373C23×D11—41no—
374C23×D11C2411yescharacteristic
375C23×D11C2411yescharacteristic
376C2×Q8×C11—41no—
377C2×Q8×C11—41no—
378C2×Q8×C11—41no—
379C2×D4×C11—22no—
380C2×D4×C11—22no—
381C2×D4×C11—22no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C2×D4×C11—41no—
387C2×D4×C11—41no—
388C22×C4×C11—22no—
389C22×C4×C11—22no—
390C22×C4×C11—41no—
391C22×C4×C11—41no—
392C22×C4×C11—41no—
393C22×C4×C11—41no—
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C2×C22⋊D11—22no—
407C2×C22⋊D11—22no—
408C2×C22⋊D11—22no—
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11—22no—
412C2×C22⋊D11—22no—
413C2×C22⋊D11—22no—
414C2×C22⋊D11—41no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11—41no—
417C2×C22⋊D11—41no—
418C22×Dic11—22no—
419C22×Dic11—22no—
420C22×Dic11—41no—
421C22×Dic11—41no—
422C22×Dic11—41no—
423C22×Dic11—41no—
424C22×Dic11C2411yescharacteristic
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×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
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×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—416no—
462C2×C4×D11#4114yes—
463C2×Dic22—22no—
464C2×Dic22—41no—
465C2×Dic22—41no—
466C2×Dic22—41no—
467C2×Dic22—41no—
468C2×Dic22—41no—
469C11×C4⋊C4—22no—
470C11×C4⋊C4—41no—
471C11×C4⋊C4—41no—
472C11×C4⋊C4—41no—
473C11×C4⋊C4—41no—
474C11×C22⋊C4—22no—
475C11×C22⋊C4—22no—
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—
485C11×C22⋊C4—41no—
486C11×C22⋊C4—41no—
487C42×C11—41no—
488C22⋊Dic11—22no—
489C22⋊Dic11—22no—
490C22⋊Dic11—22no—
491C22⋊Dic11—22no—
492C22⋊Dic11—41no—
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—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
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—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
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—
521C4⋊Dic11—22no—
522C4⋊Dic11—41no—
523C4⋊Dic11—41no—
524C4⋊Dic11—41no—
525C4⋊Dic11—41no—
526C4⋊Dic11—41no—
527C4⋊Dic11—41no—
528Dic11⋊C4—22no—
529Dic11⋊C4—22no—
530Dic11⋊C4—41no—
531Dic11⋊C4—41no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544C4×Dic11—41no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549#2848—111no—
550#2847—111no—
551#2746—111no—
552#2746—111no—
553#2745—111no—
554#2745—111no—
555#2738—111no—
556#2738—111no—
557#2737—111no—
558#2737—111no—
559#2701—111no—
560#2701—111no—
561#2700—111no—
562#2700—111no—
563#2687—111no—
564#2687—111no—
565#2686—111no—
566#2686D1111yescharacteristic, complemented
567#2659—111no—
568#2639—111no—
569#2510—111no—
570#2510—111no—
571#2472—111no—
572#2472—111no—
573#2450—111no—
574#2450—111no—
575#2418—111no—
576#2418—111no—
577#2329—111no—
578#2325—111no—
579C2×#381—111no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
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×C11H(5,𝔽2)12yes—
601C23×C11C2511yescharacteristic
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—28no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—44no—
614C22×D11—44no—
615C22×D11—44no—
616C22×D11—44no—
617C22×D11—44no—
618C22×D11—44no—
619C22×D11C2×#4112yes—
620C22×D11H(5,𝔽2)12yes—
621C22×D11H(5,𝔽2)12yes—
622C22×D112−1+412yes—
623Q8×C11—82no—
624D4×C11—82no—
625D4×C11—82no—
626D4×C11—82no—
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—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—44no—
663C2×C4×C11—82no—
664C2×C4×C11C2×#4112yes—
665C22⋊D11—44no—
666C22⋊D11—44no—
667C22⋊D11—82no—
668C22⋊D11—82no—
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—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—44no—
711C2×Dic11—82no—
712C2×Dic11C2×#4112yes—
713C4×D11—44no—
714C4×D11—44no—
715C4×D11—44no—
716C4×D11—44no—
717C4×D11—82no—
718C4×D11—82no—
719C4×D11—82no—
720C4×D11—82no—
721Dic22—82no—
722Dic22—82no—
723C24×C4—111no—
724C2×#124—111no—
725C2×#124C2×D1111yescharacteristic
726C2×#123—111no—
727C2×#123—111no—
728C2×C22⋊Q8—111no—
729C2×C22⋊Q8—111no—
730C2×C22⋊Q8—111no—
731C2×C22⋊Q8—111no—
732C2×C22⋊Q8—111no—
733C2×#121—111no—
734C2×#121—111no—
735C2×#121C2×D1111yescharacteristic
736C2×#120—111no—
737C2×#120—111no—
738C2×C4×D4—111no—
739C2×C4×D4—111no—
740C22×C22⋊C4—111no—
741C22×C22⋊C4—111no—
742#401—111no—
743#401—111no—
744#400—111no—
745#400—111no—
746#400—111no—
747#400—111no—
748#400—111no—
749#400—111no—
750#399—111no—
751#399—111no—
752#398—111no—
753#398—111no—
754#398—111no—
755#398—111no—
756#398—111no—
757#398—111no—
758#397—111no—
759#397—111no—
760#397—111no—
761#397—111no—
762#397—111no—
763#397—111no—
764#397—111no—
765#397—111no—
766#397—111no—
767#397C2×D1111yescharacteristic, complemented
768#396—111no—
769#396—111no—
770#395—111no—
771#395—111no—
772#395—111no—
773#395C2×D1111yescharacteristic, complemented
774#394—111no—
775#394—111no—
776#394—111no—
777#394—111no—
778#394—111no—
779#394—111no—
780#394—111no—
781#394C2×D1111yescharacteristic
782#394C2×D1111yescharacteristic
783#394C2×D1111yescharacteristic, complemented
784#393—111no—
785#393—111no—
786#393—111no—
787#393—111no—
788#393—111no—
789#393C2×D1111yescharacteristic, complemented
790#391—111no—
791#391—111no—
792#391—111no—
793#391—111no—
794#390—111no—
795#390—111no—
796#389—111no—
797#389—111no—
798#388—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388C2×D1111yescharacteristic, complemented
812#387—111no—
813#387—111no—
814#387—111no—
815#387—111no—
816#387—111no—
817#387—111no—
818#387—111no—
819#387—111no—
820#387—111no—
821#387C2×D1111yescharacteristic, complemented
822#386—111no—
823#386—111no—
824#386—111no—
825#386—111no—
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386—111no—
831#386—111no—
832#386—111no—
833#386—111no—
834#386—111no—
835#386—111no—
836#386C2×D1111yescharacteristic
837#386C2×D1111yescharacteristic, complemented
838#385—111no—
839#385—111no—
840#385—111no—
841#385—111no—
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#385C2×D1111yescharacteristic
850#383—111no—
851#383—111no—
852#381—111no—
853#381—111no—
854#381—111no—
855#381—111no—
856#381—111no—
857#381—111no—
858#381—111no—
859#381C2×D1111yescharacteristic
860#380—111no—
861#380—111no—
862#380—111no—
863#380—111no—
864#380—111no—
865#380—111no—
866#380—111no—
867#380—111no—
868#380—111no—
869#380C2×D1111yescharacteristic, complemented
870#379—111no—
871#379—111no—
872C4×C22⋊C4—111no—
873C4×C22⋊C4—111no—
874C2×#95—111no—
875C2×#95—111no—
876C2×#95—111no—
877C2×#95—111no—
878C22×C11—22no—
879C22×C11—22no—
880C22×C11—22no—
881C22×C11—41no—
882C22×C11—41no—
883C22×C11—41no—
884C22×C11—41no—
885C22×C11—41no—
886C22×C11—41no—
887C22×C11—41no—
888C22×C11—41no—
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×C11C22×#4111yescharacteristic
900C22×C11C2×H(5,𝔽2)11yescharacteristic
901C22×C11C2×H(5,𝔽2)11yescharacteristic
902C22×C11C2×H(5,𝔽2)11yescharacteristic
903C22×C11C2×2−1+411yescharacteristic
904C22×C11#58511yescharacteristic
905C22×C11#58511yescharacteristic
906C2×D11—22no—
907C2×D11—22no—
908C2×D11—22no—
909C2×D11—22no—
910C2×D11—22no—
911C2×D11—22no—
912C2×D11—22no—
913C2×D11—22no—
914C2×D11—22no—
915C2×D11—416no—
916C2×D11—41no—
917C2×D11—41no—
918C2×D11—41no—
919C2×D11—41no—
920C2×D11#54214yes—
921C4×C11—22no—
922C4×C11—41no—
923C4×C11—41no—
924C4×C11—41no—
925C4×C11—41no—
926C4×C11—41no—
927C4×C11—41no—
928C4×C11—41no—
929C4×C11—41no—
930C4×C11—41no—
931C4×C11—41no—
932C4×C11—41no—
933Dic11—22no—
934Dic11—41no—
935Dic11—41no—
936Dic11—41no—
937Dic11—41no—
938Dic11—41no—
939Dic11—41no—
940Dic11—41no—
941Dic11—41no—
942Dic11—41no—
943Dic11—41no—
944Dic11—41no—
945Dic11—41no—
946Dic11—41no—
947C25—111no—
948C22×Q8—111no—
949C22×Q8—111no—
950C22×Q8C22×D1111yescharacteristic
951C22×D4—111no—
952C22×D4—111no—
953C22×D4—111no—
954C22×D4—111no—
955C22×D4C22×D1111yescharacteristic
956C22×D4C22×D1111yescharacteristic
957C22×D4C22×D1111yescharacteristic
958C23×C4—111no—
959C23×C4—111no—
960C23×C4—111no—
961C23×C4—111no—
962C23×C4—111no—
963C23×C4—111no—
964C23×C4—111no—
965C23×C4—111no—
966C23×C4—111no—
967C23×C4—111no—
968C23×C4—224no—
969C23×C4—442no—
970C23×C4—442no—
971C23×C4C22×D1111yescharacteristic
972C23×C4C22×D1111yescharacteristic
973#124—42no—
974#124—442no—
975#123—442no—
976#123—442no—
977C22⋊Q8—224no—
978C22⋊Q8—442no—
979C22⋊Q8—442no—
980C22⋊Q8—442no—
981C22⋊Q8—442no—
982#121—42no—
983#121—224no—
984#121—442no—
985#120—442no—
986#120—442no—
987C4×D4—442no—
988C4×D4—442no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1013C2×C4⋊C4C22×D1111yescharacteristic
1014C2×C4⋊C4C22×D1111yescharacteristic
1015C2×C4⋊C4C22×D1111yescharacteristic
1016C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
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—442no—
1051C2×C22⋊C4—442no—
1052C2×C22⋊C4C22×D1111yescharacteristic
1053C2×C22⋊C4C22×D1111yescharacteristic
1054C2×C22⋊C4C22×D1111yescharacteristic
1055C2×C22⋊C4C22×D1111yescharacteristic
1056C2×C22⋊C4C22×D1111yescharacteristic
1057C2×C22⋊C4C22×D1111yescharacteristic
1058C2×C22⋊C4C22×D1111yescharacteristic
1059C2×C22⋊C4C22×D1111yescharacteristic
1060C2×C22⋊C4C22×D1111yescharacteristic
1061C2×C22⋊C4C22×D1111yescharacteristic
1062C2×C22⋊C4C22×D1111yescharacteristic
1063C2×C22⋊C4C22×D1111yescharacteristic
1064C2×C22⋊C4C22×D1111yescharacteristic
1065C2×C42—111no—
1066C2×C42—111no—
1067C2×C42—111no—
1068C2×C42—111no—
1069C2×C42—111no—
1070C2×C42C22×D1111yescharacteristic
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#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95C22×D1111yescharacteristic
1114#95C22×D1111yescharacteristic
1115#95C22×D1111yescharacteristic
1116#95C22×D1111yescharacteristic
1117#95C22×D1111yescharacteristic
1118#95C22×D1111yescharacteristic
1119#95C22×D1111yescharacteristic
1120#95C22×D1111yescharacteristic
1121#95C22×D1111yescharacteristic
1122#95C22×D1111yescharacteristic
1123C2×C11—42no—
1124C2×C11—81no—
1125C2×C11—81no—
1126C2×C11C2×#54211yescharacteristic
1127C2×C11#349011yescharacteristic
1128C2×C11#349311yescharacteristic
1129C2×C11#353411yescharacteristic
1130C2×C11#353411yescharacteristic
1131C2×C11#353511yescharacteristic
1132C2×C11#353511yescharacteristic
1133D11—24no—
1134D11—42no—
1135C24—111no—
1136C24—111no—
1137C24—222no—
1138C24—222no—
1139C24—222no—
1140C24—222no—
1141C24—222no—
1142C24—441no—
1143C24—441no—
1144C24C23×D1111yescharacteristic
1145C24C23×D1111yescharacteristic
1146C24C23×D1111yescharacteristic
1147C2×Q8—41no—
1148C2×Q8—41no—
1149C2×Q8—41no—
1150C2×Q8—222no—
1151C2×Q8—441no—
1152C2×Q8—441no—
1153C2×Q8—441no—
1154C2×Q8—441no—
1155C2×Q8—441no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—222no—
1166C2×D4—222no—
1167C2×D4—222no—
1168C2×D4—222no—
1169C2×D4—222no—
1170C2×D4—222no—
1171C2×D4—222no—
1172C2×D4—222no—
1173C2×D4—441no—
1174C2×D4—441no—
1175C2×D4—441no—
1176C2×D4—441no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—111no—
1184C22×C4—114no—
1185C22×C4—111no—
1186C22×C4—111no—
1187C22×C4—111no—
1188C22×C4—111no—
1189C22×C4—111no—
1190C22×C4—111no—
1191C22×C4—111no—
1192C22×C4—111no—
1193C22×C4—111no—
1194C22×C4—111no—
1195C22×C4—111no—
1196C22×C4—111no—
1197C22×C4—111no—
1198C22×C4—222no—
1199C22×C4—222no—
1200C22×C4—222no—
1201C22×C4—222no—
1202C22×C4—222no—
1203C22×C4—222no—
1204C22×C4—222no—
1205C22×C4—222no—
1206C22×C4—222no—
1207C22×C4—222no—
1208C22×C4—222no—
1209C22×C4—441no—
1210C22×C4—441no—
1211C22×C4—441no—
1212C22×C4—441no—
1213C22×C4—441no—
1214C22×C4—441no—
1215C22×C4—441no—
1216C22×C4—441no—
1217C22×C4—441no—
1218C22×C4—441no—
1219C22×C4—441no—
1220C22×C4—441no—
1221C22×C4—441no—
1222C22×C4—441no—
1223C22×C4—4416no—
1224C22×C4—441no—
1225C22×C4—441no—
1226C22×C4—441no—
1227C22×C4—441no—
1228C22×C4C23×D1111yescharacteristic
1229C22×C4C23×D1111yescharacteristic
1230C22×C4C23×D1111yescharacteristic
1231C22×C4C23×D1111yescharacteristic
1232C22×C4C23×D1111yescharacteristic
1233C22×C4C23×D1111yescharacteristic
1234C22×C4C23×D1111yescharacteristic
1235C22×C4C23×D1111yescharacteristic
1236C22×C4C23×D1111yescharacteristic
1237C22×C4C23×D1111yescharacteristic
1238C22×C4C23×D1111yescharacteristic
1239C22×C4C23×D1111yescharacteristic
1240C4⋊C4—22no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—222no—
1246C4⋊C4—222no—
1247C4⋊C4—222no—
1248C4⋊C4—441no—
1249C4⋊C4—441no—
1250C4⋊C4—441no—
1251C4⋊C4—441no—
1252C4⋊C4—441no—
1253C4⋊C4—441no—
1254C4⋊C4—441no—
1255C4⋊C4—441no—
1256C4⋊C4—441no—
1257C4⋊C4—441no—
1258C4⋊C4—441no—
1259C4⋊C4—441no—
1260C4⋊C4—441no—
1261C4⋊C4—441no—
1262C4⋊C4—441no—
1263C4⋊C4—441no—
1264C4⋊C4—441no—
1265C4⋊C4—441no—
1266C4⋊C4—441no—
1267C4⋊C4—441no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—222no—
1282C22⋊C4—222no—
1283C22⋊C4—222no—
1284C22⋊C4—222no—
1285C22⋊C4—222no—
1286C22⋊C4—222no—
1287C22⋊C4—222no—
1288C22⋊C4—222no—
1289C22⋊C4—222no—
1290C22⋊C4—222no—
1291C22⋊C4—222no—
1292C22⋊C4—222no—
1293C22⋊C4—222no—
1294C22⋊C4—222no—
1295C22⋊C4—441no—
1296C22⋊C4—441no—
1297C22⋊C4—441no—
1298C22⋊C4—441no—
1299C22⋊C4—441no—
1300C22⋊C4—441no—
1301C22⋊C4—441no—
1302C22⋊C4—441no—
1303C22⋊C4—441no—
1304C22⋊C4—441no—
1305C22⋊C4—441no—
1306C22⋊C4—441no—
1307C22⋊C4—441no—
1308C22⋊C4—441no—
1309C22⋊C4—441no—
1310C22⋊C4—441no—
1311C22⋊C4—441no—
1312C22⋊C4—441no—
1313C22⋊C4—441no—
1314C42—41no—
1315C42—441no—
1316C42—441no—
1317C42—441no—
1318C42—441no—
1319C42—441no—
1320C11#3673011yescharacteristic, complemented, Sylow
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—112no—
1342C23—112no—
1343C23—112no—
1344C23—112no—
1345C23—228no—
1346C23—221no—
1347C23—221no—
1348C23—221no—
1349C23—221no—
1350C23—221no—
1351C23—221no—
1352C23—221no—
1353C23—221no—
1354C23—221no—
1355C23—221no—
1356C23—444no—
1357C23—444no—
1358C23—444no—
1359C23—444no—
1360C23—444no—
1361C23—444no—
1362C23#6703712yes—
1363C23C24×D1111yescharacteristic
1364Q8—82no—
1365Q8—882no—
1366Q8—882no—
1367D4—82no—
1368D4—82no—
1369D4—82no—
1370D4—444no—
1371D4—444no—
1372D4—882no—
1373D4—882no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—44no—
1410C2×C4—82no—
1411C2×C4—112no—
1412C2×C4—221no—
1413C2×C4—221no—
1414C2×C4—221no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
1448C2×C4—221no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—444no—
1454C2×C4—444no—
1455C2×C4—444no—
1456C2×C4—444no—
1457C2×C4—444no—
1458C2×C4—882no—
1459C2×C4—882no—
1460C2×C4—882no—
1461C2×C4—882no—
1462C2×C4—882no—
1463C2×C4#41×D1112yes—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—114no—
1486C22—222no—
1487C22—222no—
1488C22—222no—
1489C22—222no—
1490C22—222no—
1491C22—222no—
1492C22—222no—
1493C22—222no—
1494C22—222no—
1495C22—4416no—
1496C22—441no—
1497C22—441no—
1498C22—441no—
1499C22—441no—
1500C22C2×#6703711yescharacteristic
1501C22C2×#41×D1111yescharacteristic
1502C22#1062345311yescharacteristic
1503C22D11×H(5,𝔽2)11yescharacteristic
1504C22D11×H(5,𝔽2)11yescharacteristic
1505C22#1062345511yescharacteristic
1506C22D11×2−1+411yescharacteristic
1507C4—22no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—222no—
1520C4—441no—
1521C4—441no—
1522C4—441no—
1523C4—441no—
1524C4—441no—
1525C4—441no—
1526C4—441no—
1527C4—441no—
1528C4—441no—
1529C4—441no—
1530C4—441no—
1531C4—441no—
1532C4—441no—
1533C2—42no—
1534C2—81no—
1535C2—81no—
1536C2—224no—
1537C2—442no—
1538C2D11×#54211yescharacteristic
1539C2#1308229811yescharacteristic
1540C2#1308232711yescharacteristic
1541C2#1308279611yescharacteristic
1542C2#1308280511yescharacteristic
1543C2#1308281611yescharacteristic
1544C2#1308281711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2686C2
prime radical#13076895C2
hypercenter#2686D11
hypocenterC11#36730
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2686

Complements

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

NH ≅ G/Ntype
1. #13076902C2semidirect
3. #13075802C2semidirect
4. #13075798C2semidirect
5. #13075784C2semidirect
6. #13075780C2semidirect
7. #13075690C2semidirect
8. #13075686C2semidirect
9. #13075676C2semidirect
10. #13075664C2semidirect
11. #13075236C2semidirect
12. #13075232C2semidirect
13. #13075220C2semidirect
14. #13075208C2semidirect
15. #13075038C2semidirect
16. #13075034C2semidirect
17. #13075018C2semidirect
18. #13074729C2semidirect
19. #13074547C2semidirect
20. #13073175C2semidirect
21. #13073169C2semidirect
22. #13072738C2semidirect
23. #13072737C2semidirect
24. #13072447C2semidirect
25. #13072433C2semidirect
26. #13072077C2semidirect
27. #13072073C2semidirect
28. #13071343C2semidirect
29. #13071318C2semidirect
30. D11×#381C2semidirect
31. C11×#2686C2semidirect
51. C11×#397C22semidirect
52. C11×#395C22semidirect
55. C11×#394C22semidirect
56. C11×#393C22semidirect
57. C11×#388C22semidirect
58. C11×#387C22semidirect
60. C11×#386C22semidirect
63. C11×#380C22semidirect
65. #10622843C22semidirect
66. #10622842C22semidirect
69. #10622835C22semidirect
73. #10622833C22semidirect
77. #10622823C22semidirect
78. #10622823C22semidirect
86. #10622599C22semidirect
87. #10622598C22semidirect
88. #10622596C22semidirect
89. #10622596C22semidirect
90. #10622595C22semidirect
91. #10622595C22semidirect
92. #10622594C22semidirect
93. #10622592C22semidirect
94. #10622592C22semidirect
95. #10622591C22semidirect
114. #10622566C22semidirect
117. #10622565C22semidirect
118. #10622565C22semidirect
119. #10622565C22semidirect
120. #10622565C22semidirect
123. #10622564C22semidirect
124. #10622563C22semidirect
127. #10622561C22semidirect
128. #10622561C22semidirect
129. #10622560C22semidirect
130. #10622560C22semidirect
131. #10622560C22semidirect
132. #10622559C22semidirect
134. #10622558C22semidirect
136. #10622557C22semidirect
137. #10622557C22semidirect
138. #10622557C22semidirect
142. #10622555C22semidirect
145. #10622546C22semidirect
146. #10622542C22semidirect
167. C11⋊#401C22semidirect
168. C11⋊#401C22semidirect
169. #10622274C22semidirect
170. #10622273C22semidirect
171. #10622272C22semidirect
172. #10622271C22semidirect
173. #10622270C22semidirect
174. #10622270C22semidirect
175. #10622270C22semidirect
176. #10622268C22semidirect
177. #10622267C22semidirect
178. #10622266C22semidirect
179. #10622266C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622264C22semidirect
184. #10622260C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
566. #2686D11semidirect
767. #397C2×D11semidirect
773. #395C2×D11semidirect
783. #394C2×D11semidirect
789. #393C2×D11semidirect
811. #388C2×D11semidirect
821. #387C2×D11semidirect
837. #386C2×D11semidirect
869. #380C2×D11semidirect
1320. C11#36730semidirect

Maximal subgroups

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

subgroupindex
#130769022
#130768952
#130758022
#130757982
#130757842
#130757802
#130756902
#130756862
#130756762
#130756642
#130752362
#130752322
#130752202
#130752082
#130750382
#130750342
#130750182
#130747292
#130745472
#130731752
#130731692
#130727382
#130727372
#130724472
#130724332
#130720772
#130720732
#130713432
#130713182
D11×#3812
C11×#26862
#3673011