Finite Group Databasebeta

← #14960270

Subgroups — #14960270

Order 2816.

1506 conjugacy classes of subgroups.

The subgroup lattice has 1318 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076872C211yesmaximal, characteristic, complemented
2#13076866C211yesmaximal, characteristic, complemented
3#13076855C211yesmaximal, characteristic, complemented
4#13076847C211yesmaximal, characteristic, complemented
5#13076838C211yesmaximal, characteristic, complemented
6#13076803C211yesmaximal, characteristic, complemented
7#13076798C211yesmaximal, characteristic, complemented
8#13076795C211yesmaximal, characteristic, complemented
9#13076789C211yesmaximal, characteristic, complemented
10#13076773C211yesmaximal, characteristic, complemented
11#13076772C211yesmaximal, characteristic, complemented
12#13076725C211yesmaximal, characteristic
13#13076717C211yesmaximal, characteristic
14#13076650C211yesmaximal, characteristic, complemented
15#13076634C211yesmaximal, characteristic
16#13076626C211yesmaximal, characteristic
17#13071924C211yesmaximal, characteristic, complemented
18#13071923C211yesmaximal, characteristic, complemented
19#13071917C211yesmaximal, characteristic, complemented
20#13071917C211yesmaximal, characteristic, complemented
21#13071916C211yesmaximal, characteristic, complemented
22#13071916C211yesmaximal, characteristic, complemented
23#13071910C211yesmaximal, characteristic, complemented
24#13071907C211yesmaximal, characteristic, complemented
25#13071903C211yesmaximal, characteristic
26#13071884C211yesmaximal, characteristic, complemented
27#13071873C211yesmaximal, characteristic
28C4×#66949C211yesmaximal, characteristic, complemented
29C4×#66999C211yesmaximal, characteristic, complemented
30C4×#66936C211yesmaximal, characteristic
31C11×#2396C211yesmaximal, characteristic, complemented
32C2×C4×Q8×C11C2211yescharacteristic
33C2×C11×#117C2211yescharacteristic
34C2×#66999C2211yescharacteristic
35C2×C4×C22⋊D11C2211yescharacteristic
36C2×#66949C2211yescharacteristic
37C2×#66936C2211yescharacteristic
38C2×C42×D11C2211yescharacteristic
39C2×C4×Dic22C2211yescharacteristic
40C2×C4×Dic22C2211yescharacteristic
41C11×#400C2211yescharacteristic
42C11×#399C2211yescharacteristic
43C11×#398C2211yescharacteristic
44C11×#398C2211yescharacteristic
45C11×#396C2211yescharacteristic
46C11×#396C2211yescharacteristic
47C11×#395C2211yescharacteristic
48C11×#393C2211yescharacteristic
49C4×C11×C4⋊C4C2211yescharacteristic
50C4×C11×C4⋊C4C2211yescharacteristic
51C4×C11×C4⋊C4C2211yescharacteristic
52C4×C11×C22⋊C4C2211yescharacteristic
53C4×C11×C22⋊C4C2211yescharacteristic
54#10622843C2211yescharacteristic
55#10622842C2211yescharacteristic
56#10622842C2211yescharacteristic
57C4×C22⋊Dic11C2211yescharacteristic
58C4×C22⋊Dic11C2211yescharacteristic
59C4×C22⋊Dic11C2211yescharacteristic
60#10622607C2211yescharacteristic
61#10622607C2211yescharacteristic
62#10622606C2211yescharacteristic
63#10622606C2211yescharacteristic
64#10622606C2211yescharacteristic
65#10622605C2211yescharacteristic
66#10622602C2211yescharacteristic
67#10622602C2211yescharacteristic
68#10622602C2211yescharacteristic
69#10622600C2211yescharacteristic
70#10622599C2211yescharacteristic
71#10622599C2211yescharacteristic
72#10622599C2211yescharacteristic
73#10622599C2211yescharacteristic
74#10622599C2211yescharacteristic
75#10622597C2211yescharacteristic
76#10622597C2211yescharacteristic
77#10622597C2211yescharacteristic
78#10622597C2211yescharacteristic
79#10622597C2211yescharacteristic
80#10622597C2211yescharacteristic
81#10622597C2211yescharacteristic
82#10622596C2211yescharacteristic
83#10622596C2211yescharacteristic
84#10622596C2211yescharacteristic
85#10622595C2211yescharacteristic
86#10622595C2211yescharacteristic
87#10622595C2211yescharacteristic
88#10622595C2211yescharacteristic
89#10622594C2211yescharacteristic
90#10622593C2211yescharacteristic
91#10622593C2211yescharacteristic
92#10622593C2211yescharacteristic
93#10622593C2211yescharacteristic
94#10622592C2211yescharacteristic
95#10622592C2211yescharacteristic
96#10622592C2211yescharacteristic
97#10622592C2211yescharacteristic
98#10622592C2211yescharacteristic
99#10622591C2211yescharacteristic
100#10622591C2211yescharacteristic
101#10622586C2211yescharacteristic
102#10622585C2211yescharacteristic
103#10622574C2211yescharacteristic
104#10622572C2211yescharacteristic
105#10622572C2211yescharacteristic
106#10622572C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622566C2211yescharacteristic
109#10622566C2211yescharacteristic
110#10622565C2211yescharacteristic
111#10622565C2211yescharacteristic
112#10622565C2211yescharacteristic
113#10622565C2211yescharacteristic
114#10622565C2211yescharacteristic
115#10622565C2211yescharacteristic
116#10622565C2211yescharacteristic
117#10622564C2211yescharacteristic
118#10622562C2211yescharacteristic
119#10622561C2211yescharacteristic
120#10622561C2211yescharacteristic
121#10622561C2211yescharacteristic
122#10622561C2211yescharacteristic
123#10622560C2211yescharacteristic
124#10622560C2211yescharacteristic
125#10622558C2211yescharacteristic
126C4×(C2×D11)⋊C4C2211yescharacteristic
127C4×(C2×D11)⋊C4C2211yescharacteristic
128C4×(C2×D11)⋊C4C2211yescharacteristic
129C4×(C2×D11)⋊C4C2211yescharacteristic
130C4×(C2×D11)⋊C4C2211yescharacteristic
131C4×C4⋊Dic11C2211yescharacteristic
132C4×C4⋊Dic11C2211yescharacteristic
133C4×C4⋊Dic11C2211yescharacteristic
134C4×C4⋊Dic11C2211yescharacteristic
135#10622545C2211yescharacteristic
136#10622545C2211yescharacteristic
137#10622545C2211yescharacteristic
138C4×Dic11⋊C4C2211yescharacteristic
139C4×Dic11⋊C4C2211yescharacteristic
140C4×Dic11⋊C4C2211yescharacteristic
141C4×Dic11⋊C4C2211yescharacteristic
142C4×Dic11⋊C4C2211yescharacteristic
143C4×Dic11⋊C4C2211yescharacteristic
144C4×Dic11⋊C4C2211yescharacteristic
145C4×Dic11⋊C4C2211yescharacteristic
146C4×Dic11⋊C4C2211yescharacteristic
147#10622288C2211yescharacteristic
148#10622288C2211yescharacteristic
149#10622288C2211yescharacteristic
150#10622287C2211yescharacteristic
151#10622287C2211yescharacteristic
152#10622286C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622280C2211yescharacteristic
156#10622277C2211yescharacteristic
157C11⋊#401C2211yescharacteristic
158C11⋊#401C2211yescharacteristic
159C11⋊#401C2211yescharacteristic
160C11⋊#401C2211yescharacteristic
161#10622274C2211yescharacteristic
162#10622274C2211yescharacteristic
163#10622273C2211yescharacteristic
164#10622273C2211yescharacteristic
165#10622273C2211yescharacteristic
166#10622273C2211yescharacteristic
167#10622273C2211yescharacteristic
168#10622273C2211yescharacteristic
169#10622273C2211yescharacteristic
170#10622272C2211yescharacteristic
171#10622272C2211yescharacteristic
172#10622272C2211yescharacteristic
173#10622271C2211yescharacteristic
174#10622271C2211yescharacteristic
175#10622271C2211yescharacteristic
176#10622271C2211yescharacteristic
177#10622271C2211yescharacteristic
178#10622270C2211yescharacteristic
179#10622270C2211yescharacteristic
180#10622270C2211yescharacteristic
181#10622269C2211yescharacteristic
182#10622269C2211yescharacteristic
183#10622267C2211yescharacteristic
184#10622265C2211yescharacteristic
185#10622265C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×C4×D11C2311yescharacteristic
191C22×C4×D11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×Dic22C2311yescharacteristic
194C22×Dic22C2311yescharacteristic
195C4×Q8×C11—42no—
196C11×#117—42no—
197C2×C11×C4⋊C4C2311yescharacteristic
198C2×C11×C4⋊C4C2311yescharacteristic
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C22⋊Dic11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227#66999—24no—
228C4×C22⋊D11—42no—
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×C4⋊Dic11C2311yescharacteristic
241C2×C4⋊Dic11C2311yescharacteristic
242C2×C4⋊Dic11C2311yescharacteristic
243C2×C4⋊Dic11C2311yescharacteristic
244C2×C4⋊Dic11C2311yescharacteristic
245C2×C4⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
249C2×C4⋊Dic11C2311yescharacteristic
250C2×Dic11⋊C4C2311yescharacteristic
251C2×Dic11⋊C4C2311yescharacteristic
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
274C2×C4×Dic11C2311yescharacteristic
275C2×C4×Dic11C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282#66949—24no—
283#66936—24no—
284C42×D11—42no—
285C4×Dic22—42no—
286C4×Dic22—42no—
287C11×#95C2311yescharacteristic
288C11×#95C2311yescharacteristic
289C11×#95C2311yescharacteristic
290C11×#95C2311yescharacteristic
291C11×#95C2311yescharacteristic
292C11×#95C2311yescharacteristic
293C11×#95C2311yescharacteristic
294C11×#95C2311yescharacteristic
295C11×#95C2311yescharacteristic
296C11×#95C2311yescharacteristic
297C11⋊#95C2311yescharacteristic
298C11⋊#95C2311yescharacteristic
299C11⋊#95C2311yescharacteristic
300C11⋊#95C2311yescharacteristic
301C11⋊#95C2311yescharacteristic
302C11⋊#95C2311yescharacteristic
303C11⋊#95C2311yescharacteristic
304C11⋊#95C2311yescharacteristic
305C11⋊#95C2311yescharacteristic
306C11⋊#95C2311yescharacteristic
307C11⋊#95C2311yescharacteristic
308C11⋊#95C2311yescharacteristic
309C11⋊#95C2311yescharacteristic
310C11⋊#95C2311yescharacteristic
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
351#36679—111nomaximal, Sylow
352C24×C11C2411yescharacteristic
353C23×D11C2411yescharacteristic
354C2×Q8×C11—22no—
355C2×Q8×C11—41no—
356C2×Q8×C11—41no—
357C22×C4×C11—22no—
358C22×C4×C11—22no—
359C22×C4×C11—22no—
360C22×C4×C11C2411yescharacteristic
361C22×C4×C11C2411yescharacteristic
362C22×C4×C11C2411yescharacteristic
363C22×C4×C11C2411yescharacteristic
364C22×C4×C11C2411yescharacteristic
365C22×C4×C11C2411yescharacteristic
366C22×C4×C11C2411yescharacteristic
367C22×C4×C11C2411yescharacteristic
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C2×C22⋊D11—22no—
375C2×C22⋊D11—41no—
376C2×C22⋊D11—41no—
377C22×Dic11C2411yescharacteristic
378C22×Dic11C2411yescharacteristic
379C22×Dic11C2411yescharacteristic
380C22×Dic11C2411yescharacteristic
381C22×Dic11C2411yescharacteristic
382C22×Dic11C2411yescharacteristic
383C22×Dic11C2411yescharacteristic
384C22×Dic11C2411yescharacteristic
385C22×Dic11C2411yescharacteristic
386C22×Dic11C2411yescharacteristic
387C22×Dic11C2411yescharacteristic
388C22×Dic11C2411yescharacteristic
389C22×Dic11C2411yescharacteristic
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C2×C4×D11—22no—
393C2×C4×D11—22no—
394C2×C4×D11—22no—
395C2×C4×D11—41no—
396C2×C4×D11—41no—
397C2×C4×D11—41no—
398C2×C4×D11—41no—
399C2×C4×D11—41no—
400C2×C4×D11#4114yes—
401C2×Dic22—22no—
402C2×Dic22—41no—
403C2×Dic22—41no—
404C2×Dic22—41no—
405C2×Dic22—41no—
406C2×Dic22—41no—
407C11×C4⋊C4—22no—
408C11×C4⋊C4—41no—
409C11×C4⋊C4—41no—
410C11×C4⋊C4—41no—
411C11×C4⋊C4—41no—
412C11×C4⋊C4—41no—
413C11×C4⋊C4—41no—
414C11×C4⋊C4—41no—
415C11×C4⋊C4—41no—
416C11×C4⋊C4—41no—
417C11×C4⋊C4—41no—
418C11×C22⋊C4—22no—
419C11×C22⋊C4—41no—
420C11×C22⋊C4—41no—
421C11×C22⋊C4—41no—
422C11×C22⋊C4—41no—
423C11×C22⋊C4—41no—
424C42×C11—22no—
425C42×C11—22no—
426C42×C11—22no—
427C42×C11—22no—
428C42×C11—22no—
429C42×C11—22no—
430C22⋊Dic11—22no—
431C22⋊Dic11—41no—
432C22⋊Dic11—41no—
433C22⋊Dic11—41no—
434C22⋊Dic11—41no—
435C22⋊Dic11—41no—
436C22⋊Dic11—41no—
437(C2×D11)⋊C4—22no—
438(C2×D11)⋊C4—22no—
439(C2×D11)⋊C4—22no—
440(C2×D11)⋊C4—22no—
441(C2×D11)⋊C4—22no—
442(C2×D11)⋊C4—41no—
443(C2×D11)⋊C4—41no—
444(C2×D11)⋊C4—41no—
445(C2×D11)⋊C4—41no—
446(C2×D11)⋊C4—41no—
447(C2×D11)⋊C4—41no—
448C4⋊Dic11—22no—
449C4⋊Dic11—22no—
450C4⋊Dic11—41no—
451C4⋊Dic11—41no—
452C4⋊Dic11—41no—
453C4⋊Dic11—41no—
454C4⋊Dic11—41no—
455C4⋊Dic11—41no—
456C4⋊Dic11—41no—
457C4⋊Dic11—41no—
458Dic11⋊C4—22no—
459Dic11⋊C4—22no—
460Dic11⋊C4—22no—
461Dic11⋊C4—22no—
462Dic11⋊C4—22no—
463Dic11⋊C4—41no—
464Dic11⋊C4—41no—
465Dic11⋊C4—41no—
466Dic11⋊C4—41no—
467Dic11⋊C4—41no—
468Dic11⋊C4—41no—
469Dic11⋊C4—41no—
470Dic11⋊C4—41no—
471Dic11⋊C4—41no—
472Dic11⋊C4—41no—
473Dic11⋊C4—41no—
474Dic11⋊C4—41no—
475Dic11⋊C4—41no—
476Dic11⋊C4—41no—
477Dic11⋊C4—41no—
478Dic11⋊C4—41no—
479Dic11⋊C4—41no—
480Dic11⋊C4—41no—
481C4×Dic11—22no—
482C4×Dic11—22no—
483C4×Dic11—22no—
484C4×Dic11—22no—
485C4×Dic11—22no—
486C4×Dic11—22no—
487C4×Dic11—22no—
488C4×Dic11—41no—
489C4×Dic11—41no—
490#2841—111no—
491#2839—111no—
492#2839—111no—
493#2838—111no—
494#2838—111no—
495#2835—111no—
496#2834—111no—
497#2833—111no—
498#2833—111no—
499#2831—111no—
500#2831—111no—
501#2827—111no—
502#2827—111no—
503#2817—111no—
504#2814—111no—
505#2814—111no—
506#2402—111no—
507#2402—111no—
508#2401—111no—
509#2401—111no—
510#2401—111no—
511#2401—111no—
512#2399—111no—
513#2399—111no—
514#2398—111no—
515#2396—111no—
516#2396D1111yescharacteristic, complemented
517#2395—111no—
518C4×C22⋊Q8—111no—
519C4×C22⋊Q8—111no—
520C4×#123—111no—
521C23×C11—21no—
522C23×C11—21no—
523C23×C11—21no—
524C23×C11—21no—
525C23×C11—21no—
526C23×C11—21no—
527C23×C11—21no—
528C23×C11C2511yescharacteristic
529C22×D11—21no—
530C22×D11—21no—
531C22×D11—21no—
532C22×D11—21no—
533C22×D11—21no—
534C22×D11—21no—
535C22×D11C2×#4112yes—
536Q8×C11—44no—
537C2×C4×C11—21no—
538C2×C4×C11—21no—
539C2×C4×C11—21no—
540C2×C4×C11—21no—
541C2×C4×C11—21no—
542C2×C4×C11—21no—
543C2×C4×C11—21no—
544C2×C4×C11—21no—
545C2×C4×C11—21no—
546C2×C4×C11—21no—
547C2×C4×C11—21no—
548C2×C4×C11—21no—
549C2×C4×C11—21no—
550C2×C4×C11—21no—
551C2×C4×C11—21no—
552C2×C4×C11—21no—
553C2×C4×C11—21no—
554C2×C4×C11—21no—
555C2×C4×C11—21no—
556C2×C4×C11—21no—
557C2×C4×C11—21no—
558C2×C4×C11—21no—
559C2×C4×C11—21no—
560C2×C4×C11—21no—
561C2×C4×C11—21no—
562C2×C4×C11—21no—
563C2×C4×C11—21no—
564C2×C4×C11—21no—
565C2×C4×C11—21no—
566C2×C4×C11—21no—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—44no—
576C2×C4×C11C2×#4112yes—
577C2×C4×C11H(5,𝔽2)12yes—
578C2×C4×C112−1+412yes—
579C2×C4×C112−1+412yes—
580C22⋊D11—44no—
581C2×Dic11—21no—
582C2×Dic11—21no—
583C2×Dic11—21no—
584C2×Dic11—21no—
585C2×Dic11—21no—
586C2×Dic11—21no—
587C2×Dic11—21no—
588C2×Dic11—21no—
589C2×Dic11—21no—
590C2×Dic11—21no—
591C2×Dic11—21no—
592C2×Dic11—21no—
593C2×Dic11—21no—
594C2×Dic11—21no—
595C2×Dic11—21no—
596C2×Dic11—21no—
597C2×Dic11—21no—
598C2×Dic11—21no—
599C2×Dic11—21no—
600C2×Dic11—21no—
601C2×Dic11—21no—
602C2×Dic11—21no—
603C2×Dic11—21no—
604C2×Dic11—21no—
605C2×Dic11—21no—
606C2×Dic11—21no—
607C2×Dic11—21no—
608C2×Dic11—21no—
609C2×Dic11—21no—
610C2×Dic11—21no—
611C2×Dic11—21no—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—21no—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11C2×#4112yes—
626C4×D11—44no—
627C4×D11—44no—
628C4×D11—44no—
629Dic22—44no—
630Dic22—44no—
631C2×#123—111no—
632C2×C22⋊Q8—111no—
633C2×C22⋊Q8—111no—
634C2×C4×Q8—111no—
635C2×C4×Q8—111no—
636C2×C4×Q8C2×D1111yescharacteristic
637C2×C4×D4—111no—
638C2×#117C2×D1111yescharacteristic
639C22×C42—111no—
640#401—111no—
641#401—111no—
642#401—111no—
643#401—111no—
644#400—111no—
645#400—111no—
646#400—111no—
647#400—111no—
648#400—111no—
649#400—111no—
650#400—111no—
651#400—111no—
652#400—111no—
653#400—111no—
654#400—111no—
655#400—111no—
656#400—111no—
657#400—111no—
658#400—111no—
659#400—111no—
660#400—111no—
661#400—111no—
662#400—111no—
663#400—111no—
664#400—111no—
665#400—111no—
666#400—111no—
667#400—111no—
668#400C2×D1111yescharacteristic
669#399—111no—
670#399—111no—
671#399C2×D1111yescharacteristic
672#398—111no—
673#398—111no—
674#398—111no—
675#398—111no—
676#398—111no—
677#398—111no—
678#398—111no—
679#398—111no—
680#398—111no—
681#398—111no—
682#398—111no—
683#398—111no—
684#398—111no—
685#398—111no—
686#398—111no—
687#398—111no—
688#398—111no—
689#398—111no—
690#398—111no—
691#398C2×D1111yescharacteristic
692#398C2×D1111yescharacteristic
693#397—111no—
694#397—111no—
695#397—111no—
696#397—111no—
697#397—111no—
698#397—111no—
699#397—111no—
700#397—111no—
701#397—111no—
702#397—111no—
703#397—111no—
704#397—111no—
705#397—111no—
706#397—111no—
707#397—111no—
708#397—111no—
709#397—111no—
710#396—111no—
711#396—111no—
712#396—111no—
713#396—111no—
714#396—111no—
715#396—111no—
716#396C2×D1111yescharacteristic
717#396C2×D1111yescharacteristic
718#395—111no—
719#395—111no—
720#395—111no—
721#395—111no—
722#395—111no—
723#395—111no—
724#395—111no—
725#395—111no—
726#395—111no—
727#395C2×D1111yescharacteristic
728#394—111no—
729#394—111no—
730#394—111no—
731#394—111no—
732#393—111no—
733#393—111no—
734#393—111no—
735#393C2×D1111yescharacteristic
736#391—111no—
737#391—111no—
738#389—111no—
739#389—111no—
740#388—111no—
741#388—111no—
742#387—111no—
743#387—111no—
744#387—111no—
745#387—111no—
746#387—111no—
747#387—111no—
748#386—111no—
749#385—111no—
750#385—111no—
751#385—111no—
752#385—111no—
753#385—111no—
754#381—111no—
755#380—111no—
756#380—111no—
757C4×C4⋊C4—111no—
758C4×C4⋊C4—111no—
759C4×C4⋊C4—111no—
760C4×C4⋊C4—111no—
761C4×C4⋊C4—111no—
762C4×C4⋊C4—111no—
763C4×C4⋊C4—111no—
764C4×C4⋊C4—111no—
765C4×C4⋊C4—111no—
766C4×C4⋊C4—111no—
767C4×C4⋊C4—111no—
768C4×C4⋊C4—111no—
769C4×C4⋊C4—111no—
770C4×C4⋊C4C2×D1111yescharacteristic
771C4×C4⋊C4C2×D1111yescharacteristic
772C4×C4⋊C4C2×D1111yescharacteristic
773C4×C22⋊C4—111no—
774C4×C22⋊C4—111no—
775C4×C22⋊C4—111no—
776C4×C22⋊C4—111no—
777C4×C22⋊C4—111no—
778C4×C22⋊C4—111no—
779C4×C22⋊C4—111no—
780C4×C22⋊C4—111no—
781C4×C22⋊C4C2×D1111yescharacteristic
782C4×C22⋊C4C2×D1111yescharacteristic
783#376—111no—
784#376—111no—
785#376—111no—
786C22×C11—41no—
787C22×C11—41no—
788C22×C11—41no—
789C22×C11—41no—
790C22×C11—41no—
791C22×C11—41no—
792C22×C11—41no—
793C22×C11C22×#4111yescharacteristic
794C22×C11C2×H(5,𝔽2)11yescharacteristic
795C22×C11C2×2−1+411yescharacteristic
796C22×C11C2×2−1+411yescharacteristic
797C22×C11#58511yescharacteristic
798C22×C11#58511yescharacteristic
799C22×C11#58511yescharacteristic
800C2×D11—22no—
801C2×D11—22no—
802C2×D11—22no—
803C2×D11—41no—
804C2×D11—41no—
805C2×D11—41no—
806C2×D11—41no—
807C4×C11—22no—
808C4×C11—41no—
809C4×C11—41no—
810C4×C11—41no—
811C4×C11—41no—
812C4×C11—41no—
813C4×C11—41no—
814C4×C11—41no—
815C4×C11—41no—
816C4×C11—41no—
817C4×C11—41no—
818C4×C11—41no—
819C4×C11—41no—
820C4×C11#56314yes—
821Dic11—22no—
822Dic11—41no—
823Dic11—41no—
824Dic11—41no—
825Dic11—41no—
826Dic11—41no—
827Dic11—41no—
828Dic11—41no—
829Dic11—41no—
830Dic11—41no—
831Dic11—41no—
832Dic11—41no—
833Dic11—41no—
834Dic11—41no—
835Dic11—41no—
836C22×Q8—111no—
837C22×Q8—111no—
838C22×Q8C22×D1111yescharacteristic
839C22×D4—111no—
840C23×C4—111no—
841C23×C4—111no—
842C23×C4—111no—
843C23×C4C22×D1111yescharacteristic
844#123—224no—
845C22⋊Q8—224no—
846C22⋊Q8—224no—
847C4×Q8—42no—
848C4×Q8—442no—
849C4×Q8—442no—
850C4×D4—442no—
851#117—42no—
852C2×C4⋊C4—111no—
853C2×C4⋊C4—111no—
854C2×C4⋊C4—111no—
855C2×C4⋊C4—111no—
856C2×C4⋊C4—111no—
857C2×C4⋊C4—111no—
858C2×C4⋊C4—111no—
859C2×C4⋊C4—111no—
860C2×C4⋊C4—111no—
861C2×C4⋊C4—111no—
862C2×C4⋊C4—111no—
863C2×C4⋊C4—111no—
864C2×C4⋊C4—111no—
865C2×C4⋊C4—111no—
866C2×C4⋊C4—111no—
867C2×C4⋊C4—111no—
868C2×C4⋊C4—111no—
869C2×C4⋊C4—111no—
870C2×C4⋊C4—111no—
871C2×C4⋊C4—111no—
872C2×C4⋊C4—111no—
873C2×C4⋊C4—111no—
874C2×C4⋊C4—111no—
875C2×C4⋊C4—111no—
876C2×C4⋊C4—111no—
877C2×C4⋊C4—111no—
878C2×C4⋊C4—111no—
879C2×C4⋊C4—111no—
880C2×C4⋊C4—111no—
881C2×C4⋊C4—111no—
882C2×C4⋊C4—111no—
883C2×C4⋊C4—111no—
884C2×C4⋊C4—111no—
885C2×C4⋊C4C22×D1111yescharacteristic
886C2×C4⋊C4C22×D1111yescharacteristic
887C2×C4⋊C4C22×D1111yescharacteristic
888C2×C4⋊C4C22×D1111yescharacteristic
889C2×C4⋊C4C22×D1111yescharacteristic
890C2×C4⋊C4C22×D1111yescharacteristic
891C2×C4⋊C4C22×D1111yescharacteristic
892C2×C4⋊C4C22×D1111yescharacteristic
893C2×C4⋊C4C22×D1111yescharacteristic
894C2×C4⋊C4C22×D1111yescharacteristic
895C2×C4⋊C4C22×D1111yescharacteristic
896C2×C22⋊C4—111no—
897C2×C22⋊C4—111no—
898C2×C22⋊C4—111no—
899C2×C22⋊C4—111no—
900C2×C22⋊C4—111no—
901C2×C22⋊C4—111no—
902C2×C22⋊C4—111no—
903C2×C22⋊C4—111no—
904C2×C22⋊C4—111no—
905C2×C22⋊C4—111no—
906C2×C22⋊C4—111no—
907C2×C22⋊C4—111no—
908C2×C22⋊C4—111no—
909C2×C22⋊C4—111no—
910C2×C22⋊C4—111no—
911C2×C22⋊C4—111no—
912C2×C22⋊C4—111no—
913C2×C22⋊C4—111no—
914C2×C22⋊C4C22×D1111yescharacteristic
915C2×C22⋊C4C22×D1111yescharacteristic
916C2×C22⋊C4C22×D1111yescharacteristic
917C2×C22⋊C4C22×D1111yescharacteristic
918C2×C22⋊C4C22×D1111yescharacteristic
919C2×C22⋊C4C22×D1111yescharacteristic
920C2×C42—111no—
921C2×C42—111no—
922C2×C42—111no—
923C2×C42—111no—
924C2×C42—111no—
925C2×C42—111no—
926C2×C42—111no—
927C2×C42—111no—
928C2×C42—111no—
929C2×C42—442no—
930C2×C42C22×D1111yescharacteristic
931C2×C42C22×D1111yescharacteristic
932C2×C42C22×D1111yescharacteristic
933C2×C42C22×D1111yescharacteristic
934C2×C42C22×D1111yescharacteristic
935C2×C42C22×D1111yescharacteristic
936#95—111no—
937#95—111no—
938#95—111no—
939#95—111no—
940#95—111no—
941#95—111no—
942#95—111no—
943#95—111no—
944#95—111no—
945#95—111no—
946#95—111no—
947#95—111no—
948#95—111no—
949#95—111no—
950#95—111no—
951#95—111no—
952#95—111no—
953#95—111no—
954#95—111no—
955#95—111no—
956#95—111no—
957#95—111no—
958#95—111no—
959#95—111no—
960#95—111no—
961#95—111no—
962#95—111no—
963#95—111no—
964#95—111no—
965#95—111no—
966#95—111no—
967#95—111no—
968#95—111no—
969#95—111no—
970#95—111no—
971#95—111no—
972#95—111no—
973#95—111no—
974#95—111no—
975#95—111no—
976#95—111no—
977#95—111no—
978#95—111no—
979#95—111no—
980#95—111no—
981#95—111no—
982#95—111no—
983#95—111no—
984#95—111no—
985#95—111no—
986#95—111no—
987#95—111no—
988#95—111no—
989#95—111no—
990#95C22×D1111yescharacteristic
991#95C22×D1111yescharacteristic
992#95C22×D1111yescharacteristic
993#95C22×D1111yescharacteristic
994#95C22×D1111yescharacteristic
995#95C22×D1111yescharacteristic
996#95C22×D1111yescharacteristic
997#95C22×D1111yescharacteristic
998#95C22×D1111yescharacteristic
999#95C22×D1111yescharacteristic
1000C2×C11—81no—
1001C2×C11#345911yescharacteristic
1002C2×C11#346111yescharacteristic
1003C2×C11#346111yescharacteristic
1004C2×C11C2×#56311yescharacteristic
1005C2×C11#352911yescharacteristic
1006C2×C11#353111yescharacteristic
1007C2×C11#353111yescharacteristic
1008D11—42no—
1009C24—111no—
1010C24C23×D1111yescharacteristic
1011C2×Q8—22no—
1012C2×Q8—41no—
1013C2×Q8—41no—
1014C2×Q8—222no—
1015C2×Q8—441no—
1016C2×Q8—441no—
1017C2×Q8—441no—
1018C2×Q8—441no—
1019C2×Q8—441no—
1020C2×D4—222no—
1021C2×D4—441no—
1022C2×D4—441no—
1023C22×C4—22no—
1024C22×C4—22no—
1025C22×C4—22no—
1026C22×C4—111no—
1027C22×C4—114no—
1028C22×C4—111no—
1029C22×C4—111no—
1030C22×C4—111no—
1031C22×C4—111no—
1032C22×C4—111no—
1033C22×C4—111no—
1034C22×C4—111no—
1035C22×C4—111no—
1036C22×C4—111no—
1037C22×C4—111no—
1038C22×C4—111no—
1039C22×C4—111no—
1040C22×C4—111no—
1041C22×C4—111no—
1042C22×C4—222no—
1043C22×C4—222no—
1044C22×C4—222no—
1045C22×C4—441no—
1046C22×C4—441no—
1047C22×C4—441no—
1048C22×C4—441no—
1049C22×C4—441no—
1050C22×C4C23×D1111yescharacteristic
1051C22×C4C23×D1111yescharacteristic
1052C22×C4C23×D1111yescharacteristic
1053C22×C4C23×D1111yescharacteristic
1054C22×C4C23×D1111yescharacteristic
1055C22×C4C23×D1111yescharacteristic
1056C22×C4C23×D1111yescharacteristic
1057C22×C4C23×D1111yescharacteristic
1058C22×C4C23×D1111yescharacteristic
1059C22×C4C23×D1111yescharacteristic
1060C22×C4C23×D1111yescharacteristic
1061C22×C4C23×D1111yescharacteristic
1062C22×C4C23×D1111yescharacteristic
1063C22×C4C23×D1111yescharacteristic
1064C4⋊C4—22no—
1065C4⋊C4—41no—
1066C4⋊C4—41no—
1067C4⋊C4—41no—
1068C4⋊C4—41no—
1069C4⋊C4—41no—
1070C4⋊C4—41no—
1071C4⋊C4—41no—
1072C4⋊C4—41no—
1073C4⋊C4—41no—
1074C4⋊C4—41no—
1075C4⋊C4—222no—
1076C4⋊C4—222no—
1077C4⋊C4—222no—
1078C4⋊C4—222no—
1079C4⋊C4—222no—
1080C4⋊C4—222no—
1081C4⋊C4—222no—
1082C4⋊C4—441no—
1083C4⋊C4—441no—
1084C4⋊C4—441no—
1085C4⋊C4—441no—
1086C4⋊C4—441no—
1087C4⋊C4—441no—
1088C4⋊C4—441no—
1089C4⋊C4—441no—
1090C4⋊C4—441no—
1091C4⋊C4—441no—
1092C4⋊C4—441no—
1093C4⋊C4—441no—
1094C4⋊C4—441no—
1095C4⋊C4—441no—
1096C4⋊C4—441no—
1097C4⋊C4—441no—
1098C4⋊C4—441no—
1099C4⋊C4—441no—
1100C4⋊C4—441no—
1101C4⋊C4—441no—
1102C4⋊C4—441no—
1103C4⋊C4—441no—
1104C4⋊C4—441no—
1105C4⋊C4—441no—
1106C4⋊C4—441no—
1107C4⋊C4—441no—
1108C22⋊C4—22no—
1109C22⋊C4—41no—
1110C22⋊C4—41no—
1111C22⋊C4—41no—
1112C22⋊C4—41no—
1113C22⋊C4—41no—
1114C22⋊C4—222no—
1115C22⋊C4—222no—
1116C22⋊C4—222no—
1117C22⋊C4—222no—
1118C22⋊C4—222no—
1119C22⋊C4—222no—
1120C22⋊C4—441no—
1121C22⋊C4—441no—
1122C22⋊C4—441no—
1123C22⋊C4—441no—
1124C22⋊C4—441no—
1125C22⋊C4—441no—
1126C22⋊C4—441no—
1127C22⋊C4—441no—
1128C22⋊C4—441no—
1129C22⋊C4—441no—
1130C22⋊C4—441no—
1131C22⋊C4—441no—
1132C42—22no—
1133C42—22no—
1134C42—22no—
1135C42—22no—
1136C42—22no—
1137C42—22no—
1138C42—222no—
1139C42—222no—
1140C42—222no—
1141C42—222no—
1142C42—222no—
1143C42—222no—
1144C42—222no—
1145C42—441no—
1146C42—441no—
1147C11#3667911yescharacteristic, complemented, Sylow
1148C23—21no—
1149C23—21no—
1150C23—21no—
1151C23—21no—
1152C23—21no—
1153C23—21no—
1154C23—21no—
1155C23—112no—
1156C23—221no—
1157C23—221no—
1158C23—221no—
1159C23—221no—
1160C23—221no—
1161C23—221no—
1162C23C24×D1111yescharacteristic
1163Q8—44no—
1164Q8—444no—
1165Q8—444no—
1166D4—444no—
1167C2×C4—21no—
1168C2×C4—21no—
1169C2×C4—21no—
1170C2×C4—21no—
1171C2×C4—21no—
1172C2×C4—21no—
1173C2×C4—21no—
1174C2×C4—21no—
1175C2×C4—21no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4—21no—
1179C2×C4—21no—
1180C2×C4—21no—
1181C2×C4—21no—
1182C2×C4—21no—
1183C2×C4—21no—
1184C2×C4—21no—
1185C2×C4—21no—
1186C2×C4—21no—
1187C2×C4—21no—
1188C2×C4—21no—
1189C2×C4—21no—
1190C2×C4—21no—
1191C2×C4—21no—
1192C2×C4—21no—
1193C2×C4—21no—
1194C2×C4—21no—
1195C2×C4—21no—
1196C2×C4—21no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—44no—
1206C2×C4—112no—
1207C2×C4—221no—
1208C2×C4—221no—
1209C2×C4—221no—
1210C2×C4—221no—
1211C2×C4—221no—
1212C2×C4—221no—
1213C2×C4—221no—
1214C2×C4—221no—
1215C2×C4—221no—
1216C2×C4—221no—
1217C2×C4—221no—
1218C2×C4—221no—
1219C2×C4—221no—
1220C2×C4—221no—
1221C2×C4—221no—
1222C2×C4—221no—
1223C2×C4—221no—
1224C2×C4—221no—
1225C2×C4—221no—
1226C2×C4—221no—
1227C2×C4—221no—
1228C2×C4—221no—
1229C2×C4—221no—
1230C2×C4—221no—
1231C2×C4—221no—
1232C2×C4—221no—
1233C2×C4—221no—
1234C2×C4—221no—
1235C2×C4—221no—
1236C2×C4—221no—
1237C2×C4—221no—
1238C2×C4—221no—
1239C2×C4—221no—
1240C2×C4—221no—
1241C2×C4—221no—
1242C2×C4—221no—
1243C2×C4—221no—
1244C2×C4—221no—
1245C2×C4—221no—
1246C2×C4—221no—
1247C2×C4—221no—
1248C2×C4—221no—
1249C2×C4—221no—
1250C2×C4—221no—
1251C2×C4—444no—
1252C2×C4—444no—
1253C2×C4—444no—
1254C2×C4#6703712yes—
1255C2×C4#6704012yes—
1256C2×C4#41×D1112yes—
1257C2×C4#6704312yes—
1258C22—41no—
1259C22—41no—
1260C22—41no—
1261C22—41no—
1262C22—41no—
1263C22—41no—
1264C22—41no—
1265C22—222no—
1266C22—222no—
1267C22—222no—
1268C22—441no—
1269C22—441no—
1270C22—441no—
1271C22—441no—
1272C22C2×#6703711yescharacteristic
1273C22C2×#6704011yescharacteristic
1274C22C2×#41×D1111yescharacteristic
1275C22C2×#6704311yescharacteristic
1276C22#1062345311yescharacteristic
1277C22#1062345311yescharacteristic
1278C22#1062345311yescharacteristic
1279C4—22no—
1280C4—41no—
1281C4—41no—
1282C4—41no—
1283C4—41no—
1284C4—41no—
1285C4—41no—
1286C4—41no—
1287C4—41no—
1288C4—41no—
1289C4—41no—
1290C4—41no—
1291C4—41no—
1292C4—222no—
1293C4—441no—
1294C4—441no—
1295C4—441no—
1296C4—441no—
1297C4—441no—
1298C4—441no—
1299C4—441no—
1300C4—441no—
1301C4—441no—
1302C4—441no—
1303C4—441no—
1304C4—441no—
1305C4—441no—
1306C4—441no—
1307C4#1062317714yes—
1308C2—81no—
1309C2—442no—
1310C2#1308202311yescharacteristic
1311C2#1308204111yescharacteristic
1312C2#1308204711yescharacteristic
1313C2C2×#1062317711yescharacteristic
1314C2#1308275211yescharacteristic
1315C2#1308276111yescharacteristic
1316C2#1308276311yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2396C2
prime radicalC22×C22⋊D11C23
hypercenter#2396D11
hypocenterC11#36679
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2396

Complements

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

NH ≅ G/Ntype
1. #13076872C2semidirect
2. #13076866C2semidirect
3. #13076855C2semidirect
4. #13076847C2semidirect
5. #13076838C2semidirect
6. #13076803C2semidirect
7. #13076798C2semidirect
8. #13076795C2semidirect
9. #13076789C2semidirect
10. #13076773C2semidirect
11. #13076772C2semidirect
14. #13076650C2semidirect
17. #13071924C2semidirect
18. #13071923C2semidirect
19. #13071917C2semidirect
20. #13071917C2semidirect
21. #13071916C2semidirect
22. #13071916C2semidirect
23. #13071910C2semidirect
24. #13071907C2semidirect
26. #13071884C2semidirect
28. C4×#66949C2semidirect
29. C4×#66999C2semidirect
31. C11×#2396C2semidirect
516. #2396D11semidirect
1147. C11#36679semidirect

Maximal subgroups

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

subgroupindex
#130768722
#130768662
#130768552
#130768472
#130768382
#130768032
#130767982
#130767952
#130767892
#130767732
#130767722
#130767252
#130767172
#130766502
#130766342
#130766262
#130719242
#130719232
#130719172
#130719162
#130719102
#130719072
#130719032
#130718842
#130718732
C4×#669492
C4×#669992
C4×#669362
C11×#23962
#3667911