Finite Group Databasebeta

← #14923720

Subgroups — #14923720

Order 2816.

2646 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623109C211yesmaximal, characteristic, complemented
2C2×#10623078C211yesmaximal, characteristic
3#13072989C211yesmaximal, characteristic, complemented
4#13072987C211yesmaximal, characteristic, complemented
5#13072978C211yesmaximal, characteristic, complemented
6#13072976C211yesmaximal, characteristic, complemented
7#13072967C211yesmaximal, characteristic, complemented
8#13072965C211yesmaximal, characteristic, complemented
9#13072956C211yesmaximal, characteristic, complemented
10#13072954C211yesmaximal, characteristic, complemented
11#13072949C211yesmaximal, characteristic, complemented
12#13072947C211yesmaximal, characteristic, complemented
13#13072941C211yesmaximal, characteristic, complemented
14#13072939C211yesmaximal, characteristic, complemented
15#13072748C211yesmaximal, characteristic, complemented
16#13072746C211yesmaximal, characteristic, complemented
17#13072740C211yesmaximal, characteristic, complemented
18#13072738C211yesmaximal, characteristic, complemented
19#13071903C211yesmaximal, characteristic, complemented
20#13071903C211yesmaximal, characteristic, complemented
21#13071900C211yesmaximal, characteristic, complemented
22#13071899C211yesmaximal, characteristic, complemented
23C4×#66928C211yesmaximal, characteristic, complemented
24C4×#66938C211yesmaximal, characteristic, complemented
25C4×#66938C211yesmaximal, characteristic, complemented
26#13071102C211yesmaximal, characteristic, complemented
27#13071102C211yesmaximal, characteristic, complemented
28#13070997C211yesmaximal, characteristic, complemented
29C4×#66925C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C4×C11×#124C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#124C2211yescharacteristic
35C2×C4×Q8×C11C2211yescharacteristic, complemented
36C2×C4×D4×C11C2211yescharacteristic
37C2×#66999C2211yescharacteristic
38C2×#66997C2211yescharacteristic, complemented
39C2×#66992C2211yescharacteristic
40C2×#66990C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43#10623109—28no—
44#10623078—28no—
45C2×#66950C2211yescharacteristic
46C2×#66949C2211yescharacteristic
47C2×#66949C2211yescharacteristic
48C2×#66949C2211yescharacteristic
49C2×#66947C2211yescharacteristic
50C2×#66942C2211yescharacteristic, complemented
51C2×#66942C2211yescharacteristic, complemented
52C2×#66941C2211yescharacteristic, complemented
53C2×#66938C2211yescharacteristic
54C2×#66938C2211yescharacteristic
55C2×#66937C2211yescharacteristic
56C2×#66936C2211yescharacteristic
57C2×#66935C2211yescharacteristic
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×#66931C2211yescharacteristic
61C2×#66928C2211yescharacteristic
62C2×C4×D44C2211yescharacteristic
63C2×#66925C2211yescharacteristic
64C2×#66925C2211yescharacteristic
65C2×#66925C2211yescharacteristic
66C2×C42×D11C2211yescharacteristic
67C2×C42×D11C2211yescharacteristic
68C2×C4×Dic22C2211yescharacteristic, complemented
69C2×C4×Dic22C2211yescharacteristic, complemented
70C2×C4×Dic22C2211yescharacteristic, complemented
71C11×#391C2211yescharacteristic, complemented
72C11×#390C2211yescharacteristic
73C11×#388C2211yescharacteristic
74C11×#388C2211yescharacteristic
75C11×#388C2211yescharacteristic, complemented
76C11×#388C2211yescharacteristic, complemented
77C11×#382C2211yescharacteristic, complemented
78C4×C11×C22⋊C4C2211yescharacteristic
79C4×C11×C22⋊C4C2211yescharacteristic
80C4×C11×C22⋊C4C2211yescharacteristic, complemented
81C4×C11×C22⋊C4C2211yescharacteristic, complemented
82C43×C11C2211yescharacteristic, complemented
83#10622844C2211yescharacteristic
84#10622844C2211yescharacteristic, complemented
85#10622835C2211yescharacteristic
86#10622835C2211yescharacteristic
87C4×C22⋊Dic11C2211yescharacteristic
88C4×C22⋊Dic11C2211yescharacteristic
89C4×C22⋊Dic11C2211yescharacteristic, complemented
90C4×C22⋊Dic11C2211yescharacteristic, complemented
91#10622606C2211yescharacteristic
92#10622606C2211yescharacteristic, complemented
93#10622604C2211yescharacteristic
94#10622604C2211yescharacteristic
95#10622599C2211yescharacteristic, complemented
96#10622599C2211yescharacteristic, complemented
97#10622595C2211yescharacteristic, complemented
98#10622595C2211yescharacteristic, complemented
99#10622574C2211yescharacteristic
100#10622574C2211yescharacteristic
101#10622572C2211yescharacteristic
102#10622572C2211yescharacteristic
103#10622570C2211yescharacteristic
104#10622570C2211yescharacteristic
105#10622570C2211yescharacteristic, complemented
106#10622570C2211yescharacteristic, complemented
107#10622570C2211yescharacteristic, complemented
108#10622570C2211yescharacteristic, complemented
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622568C2211yescharacteristic
114#10622568C2211yescharacteristic
115#10622566C2211yescharacteristic
116#10622566C2211yescharacteristic, complemented
117#10622565C2211yescharacteristic
118#10622565C2211yescharacteristic, complemented
119#10622564C2211yescharacteristic
120#10622564C2211yescharacteristic, complemented
121#10622560C2211yescharacteristic
122#10622560C2211yescharacteristic
123#10622560C2211yescharacteristic, complemented
124#10622560C2211yescharacteristic, complemented
125#10622557C2211yescharacteristic
126#10622557C2211yescharacteristic, complemented
127#10622555C2211yescharacteristic
128#10622555C2211yescharacteristic
129C22⋊C4×Dic11C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131#10622553C2211yescharacteristic
132#10622553C2211yescharacteristic
133#10622553C2211yescharacteristic, complemented
134#10622553C2211yescharacteristic, complemented
135#10622552C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic
137C4×(C2×D11)⋊C4C2211yescharacteristic
138C4×(C2×D11)⋊C4C2211yescharacteristic
139C4×(C2×D11)⋊C4C2211yescharacteristic
140C4×(C2×D11)⋊C4C2211yescharacteristic
141C4×(C2×D11)⋊C4C2211yescharacteristic
142C4×(C2×D11)⋊C4C2211yescharacteristic
143C4×(C2×D11)⋊C4C2211yescharacteristic
144C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
146C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
147C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
148#10622549C2211yescharacteristic, complemented
149#10622545C2211yescharacteristic, complemented
150#10622545C2211yescharacteristic, complemented
151C4×Dic11⋊C4C2211yescharacteristic, complemented
152C4×Dic11⋊C4C2211yescharacteristic, complemented
153C4×Dic11⋊C4C2211yescharacteristic, complemented
154C4×Dic11⋊C4C2211yescharacteristic, complemented
155C42×Dic11C2211yescharacteristic, complemented
156#10622542C2211yescharacteristic, complemented
157#10622288C2211yescharacteristic
158#10622288C2211yescharacteristic, complemented
159#10622286C2211yescharacteristic
160#10622286C2211yescharacteristic, complemented
161#10622283C2211yescharacteristic
162#10622283C2211yescharacteristic, complemented
163#10622282C2211yescharacteristic
164#10622282C2211yescharacteristic, complemented
165#10622280C2211yescharacteristic
166#10622280C2211yescharacteristic
167#10622279C2211yescharacteristic
168#10622279C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622277C2211yescharacteristic
174#10622277C2211yescharacteristic
175D11×#95C2211yescharacteristic
176D11×#95C2211yescharacteristic
177#10622273C2211yescharacteristic, complemented
178#10622273C2211yescharacteristic, complemented
179#10622271C2211yescharacteristic, complemented
180#10622271C2211yescharacteristic, complemented
181#10622263C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622259C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C2×#4339—24no—
200C2×#4339—24no—
201C2×#4339—24no—
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×C4×D11—24no—
205C22×C4×D11—24no—
206C22×C4×D11—24no—
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×Dic22C2311yescharacteristic
217C22×Dic22C2311yescharacteristic
218C22×Dic22C2311yescharacteristic
219C22×Dic22C2311yescharacteristic
220C11×#124—24no—
221C4×Q8×C11—24no—
222C4×D4×C11—24no—
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241C2×C42×C11C2311yescharacteristic
242C2×C42×C11C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256#66999—24no—
257#66997—24no—
258#66992—24no—
259#66990—24no—
260C4×C22⋊D11—24no—
261C4×C22⋊D11—24no—
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319#66950—24no—
320#66949—24no—
321#66949—24no—
322#66949—24no—
323#66947—24no—
324#66942—24no—
325#66942—24no—
326#66941—24no—
327#66938—24no—
328#66938—24no—
329#66937—24no—
330#66936—24no—
331#66935—24no—
332C22⋊C4×D11—24no—
333C22⋊C4×D11—24no—
334#66931—24no—
335#66928—24no—
336C4×D44—24no—
337#66925—24no—
338#66925—24no—
339#66925D418yes—
340C42×D11—24no—
341C42×D11—24no—
342C4×Dic22—24no—
343C4×Dic22—24no—
344C4×Dic22—24no—
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
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#34813—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C23×D11—22no—
389C23×D11—22no—
390C23×D11—22no—
391C23×D11—22no—
392C23×D11—22no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C2×Q8×C11—22no—
399C2×Q8×C11—22no—
400C2×Q8×C11—41no—
401C2×D4×C11—22no—
402C2×D4×C11—22no—
403C2×D4×C11—41no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—41no—
434C2×C22⋊D11—41no—
435C22×Dic11—22no—
436C22×Dic11—22no—
437C22×Dic11—22no—
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451#4339—416no—
452C2×D44—22no—
453C2×D44—22no—
454C2×D44—22no—
455C2×D44—22no—
456C2×D44—22no—
457C2×D44—41no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—22no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—416no—
483C2×C4×D11C2×D414yes—
484C2×C4×D11#4114yes—
485C2×C4×D11#4114yes—
486C2×Dic22—22no—
487C2×Dic22—22no—
488C2×Dic22—22no—
489C2×Dic22—22no—
490C2×Dic22—22no—
491C2×Dic22—22no—
492C2×Dic22—22no—
493C2×Dic22—22no—
494C2×Dic22—22no—
495C2×Dic22—41no—
496C2×Dic22—41no—
497C2×Dic22—41no—
498C11×C4⋊C4—22no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—22no—
501C11×C4⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—41no—
510C11×C22⋊C4—41no—
511C11×C22⋊C4#4114yescomplemented
512C42×C11—22no—
513C42×C11—22no—
514C42×C11—22no—
515C42×C11—22no—
516C42×C11—22no—
517C42×C11—22no—
518C42×C11—41no—
519C42×C11—41no—
520C42×C11C2×D414yes—
521C22⋊Dic11—22no—
522C22⋊Dic11—22no—
523C22⋊Dic11—22no—
524C22⋊Dic11—22no—
525C22⋊Dic11—22no—
526C22⋊Dic11—22no—
527C22⋊Dic11—41no—
528C22⋊Dic11—41no—
529C22⋊Dic11—41no—
530C22⋊Dic11—41no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—22no—
545(C2×D11)⋊C4—22no—
546(C2×D11)⋊C4—22no—
547(C2×D11)⋊C4—22no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4C2×D414yes—
555(C2×D11)⋊C4C2×D414yes—
556(C2×D11)⋊C4#4114yescomplemented
557C4⋊Dic11—22no—
558C4⋊Dic11—22no—
559C4⋊Dic11—22no—
560C4⋊Dic11—22no—
561Dic11⋊C4—22no—
562Dic11⋊C4—22no—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—22no—
566Dic11⋊C4—22no—
567Dic11⋊C4—22no—
568Dic11⋊C4—22no—
569Dic11⋊C4—22no—
570Dic11⋊C4—22no—
571Dic11⋊C4—22no—
572Dic11⋊C4—22no—
573Dic11⋊C4C2×D414yes—
574Dic11⋊C4C2×D414yes—
575C4×Dic11—22no—
576C4×Dic11—22no—
577C4×Dic11—22no—
578C4×Dic11—22no—
579C4×Dic11—22no—
580C4×Dic11—22no—
581C4×Dic11—22no—
582C4×Dic11—22no—
583C4×Dic11—22no—
584C4×Dic11—22no—
585C4×Dic11—41no—
586C4×Dic11—41no—
587C4×Dic11C2×D414yes—
588C2×#533—111no—
589C2×#525—111no—
590#2492—111no—
591#2492—111no—
592#2491—111no—
593#2491—111no—
594#2490—111no—
595#2490—111no—
596#2489—111no—
597#2489—111no—
598#2488—111no—
599#2488—111no—
600#2488—111no—
601#2488—111no—
602#2472—111no—
603#2472—111no—
604#2472—111no—
605#2472—111no—
606#2398—111no—
607#2398—111no—
608#2398—111no—
609#2398—111no—
610C4×#124—111no—
611C4×#124—111no—
612C4×#124—111no—
613C4×#124D1111yescharacteristic, complemented
614#2297—111no—
615#2297—111no—
616#2280—111no—
617C4×#117—111no—
618C2×C4×C22⋊C4—111no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11C2×#4112yes—
633C23×C11C2511yescharacteristic
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—28no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—44no—
653C22×D11—44no—
654C22×D11—44no—
655C22×D11—44no—
656C22×D11—44no—
657C22×D11—44no—
658C22×D11C22×D412yes—
659C22×D11C2×#4112yes—
660C22×D11C2×#4112yes—
661C22×D11C2×#4112yes—
662Q8×C11—44no—
663D4×C11—44no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—44no—
696C2×C4×C11—44no—
697C2×C4×C11C22×D412yes—
698C2×C4×C11C22×D412yes—
699C2×C4×C11C22×D412yes—
700C2×C4×C11C2×#4112yes—
701C2×C4×C11C2×#4112yes—
702C2×C4×C11C2×#4112yes—
703C2×C4×C11C2×#4112yes—
704C2×C4×C11C2×#4112yes—
705C22⋊D11—44no—
706C22⋊D11—44no—
707C22⋊D11—44no—
708C22⋊D11—44no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—44no—
743C2×Dic11C22×D412yes—
744C2×Dic11C22×D412yes—
745C2×Dic11C22×D412yes—
746C2×Dic11C2×#4112yes—
747C2×Dic11C2×#4112yes—
748C2×Dic11C2×#4112yes—
749D44—44no—
750D44—44no—
751C4×D11—44no—
752C4×D11—44no—
753C4×D11—44no—
754C4×D11—44no—
755C4×D11—44no—
756C4×D11—44no—
757C4×D11—44no—
758C4×D11—44no—
759C4×D11#124116yescomplemented
760Dic22—44no—
761Dic22—44no—
762Dic22—44no—
763Dic22—44no—
764C22×#41—111no—
765C24×C4—111no—
766#533—228no—
767C2×C4⋊Q8—111no—
768C2×C4⋊Q8—111no—
769C2×#125—111no—
770C2×#125—111no—
771C2×#124—111no—
772C2×#124—111no—
773C2×#124—111no—
774C2×#124C2×D1111yescharacteristic
775#525—228no—
776C2×#123—111no—
777C2×#123—111no—
778C2×C22⋊Q8—111no—
779C2×C22⋊Q8—111no—
780C2×C22⋊Q8—111no—
781C2×C22⋊Q8—111no—
782C2×C22⋊Q8—111no—
783C2×C22⋊Q8—111no—
784C2×#121—111no—
785C2×#121—111no—
786C2×#120—111no—
787C2×#120—111no—
788C2×C4×Q8—111no—
789C2×C4×Q8—111no—
790C2×C4×Q8—111no—
791C2×C4×Q8C2×D1111yescharacteristic, complemented
792C2×C4×D4—111no—
793C2×C4×D4—111no—
794C2×C4×D4—111no—
795C2×C4×D4C2×D1111yescharacteristic
796C2×#117—111no—
797C2×#117—111no—
798C2×#117—111no—
799C22×C22⋊C4—111no—
800C22×C22⋊C4—111no—
801C22×C42—111no—
802C22×C42—111no—
803#400—111no—
804#400—111no—
805#400—111no—
806#400—111no—
807#400—111no—
808#400—111no—
809#400—111no—
810#400—111no—
811#397—111no—
812#397—111no—
813#397—111no—
814#397—111no—
815#397—111no—
816#397—111no—
817#397—111no—
818#397—111no—
819#394—111no—
820#394—111no—
821#394—111no—
822#394—111no—
823#394—111no—
824#394—111no—
825#394—111no—
826#394—111no—
827#393—111no—
828#393—111no—
829#393—111no—
830#393—111no—
831#393—111no—
832#393—111no—
833#393—111no—
834#393—111no—
835#391—111no—
836#391—111no—
837#391—111no—
838#391—111no—
839#391—111no—
840#391—111no—
841#391—111no—
842#391C2×D1111yescharacteristic, complemented
843#390—111no—
844#390—111no—
845#390—111no—
846#390—111no—
847#390—111no—
848#390—111no—
849#390—111no—
850#390C2×D1111yescharacteristic
851#388—111no—
852#388—111no—
853#388—111no—
854#388—111no—
855#388—111no—
856#388—111no—
857#388—111no—
858#388—111no—
859#388—111no—
860#388—111no—
861#388—111no—
862#388—111no—
863#388C2×D1111yescharacteristic
864#388C2×D1111yescharacteristic
865#388C2×D1111yescharacteristic, complemented
866#388C2×D1111yescharacteristic, complemented
867#386—111no—
868#386—111no—
869#386—111no—
870#386—111no—
871#386—111no—
872#386—111no—
873#386—111no—
874#386—111no—
875#382—111no—
876#382—111no—
877#382—111no—
878#382C2×D1111yescharacteristic, complemented
879#381—111no—
880#381—111no—
881#380—111no—
882#380—111no—
883#380—111no—
884#380—111no—
885#379—111no—
886#379—111no—
887C4×C4⋊C4—111no—
888C4×C4⋊C4—111no—
889C4×C4⋊C4—111no—
890C4×C4⋊C4—111no—
891C4×C22⋊C4—111no—
892C4×C22⋊C4—111no—
893C4×C22⋊C4—111no—
894C4×C22⋊C4—111no—
895C4×C22⋊C4—111no—
896C4×C22⋊C4—111no—
897C4×C22⋊C4—111no—
898C4×C22⋊C4—111no—
899C4×C22⋊C4—111no—
900C4×C22⋊C4—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4—111no—
903C4×C22⋊C4—111no—
904C4×C22⋊C4—111no—
905C4×C22⋊C4—111no—
906C4×C22⋊C4—111no—
907C4×C22⋊C4—111no—
908C4×C22⋊C4—111no—
909C4×C22⋊C4—111no—
910C4×C22⋊C4—111no—
911C4×C22⋊C4C2×D1111yescharacteristic
912C4×C22⋊C4C2×D1111yescharacteristic
913C4×C22⋊C4C2×D1111yescharacteristic, complemented
914C4×C22⋊C4C2×D1111yescharacteristic, complemented
915#376—111no—
916#376—111no—
917C2×#95—111no—
918C2×#95—111no—
919C43—111no—
920C43C2×D1111yescharacteristic, complemented
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11C23×D411yescharacteristic
936C22×C11C22×#4111yescharacteristic
937C22×C11C22×#4111yescharacteristic
938C22×C11C22×#4111yescharacteristic
939C22×C11C22×#4111yescharacteristic
940C22×C11#58511yescharacteristic
941C22×C11#58511yescharacteristic
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—22no—
945C2×D11—22no—
946C2×D11—22no—
947C2×D11—22no—
948C2×D11—22no—
949C2×D11—22no—
950C2×D11—22no—
951C2×D11—416no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11C2×#12414yes—
964C4×C11—22no—
965C4×C11—22no—
966C4×C11—22no—
967C4×C11—22no—
968C4×C11—22no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11C2×#12414yes—
977Dic11—22no—
978Dic11—22no—
979Dic11—22no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11C2×#12414yes—
990C25—111no—
991C2×#41—224no—
992C2×#41—224no—
993C2×#41—224no—
994C22×Q8—111no—
995C22×Q8—111no—
996C22×Q8—111no—
997C22×Q8—111no—
998C22×Q8C22×D1111yescharacteristic
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4—111no—
1002C22×D4—111no—
1003C22×D4—111no—
1004C22×D4—111no—
1005C22×D4C22×D1111yescharacteristic
1006C23×C4—111no—
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4—111no—
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4—111no—
1016C23×C4—224no—
1017C23×C4—224no—
1018C23×C4—224no—
1019C23×C4C22×D1111yescharacteristic
1020C23×C4C22×D1111yescharacteristic
1021C4⋊Q8—224no—
1022C4⋊Q8—224no—
1023#125—224no—
1024#125—224no—
1025#124—24no—
1026#124—224no—
1027#124—224no—
1028#124—224no—
1029#123—224no—
1030#123—224no—
1031C22⋊Q8—224no—
1032C22⋊Q8—224no—
1033C22⋊Q8—224no—
1034C22⋊Q8—224no—
1035C22⋊Q8—224no—
1036C22⋊Q8—224no—
1037#121—224no—
1038#121—224no—
1039#120—224no—
1040#120—224no—
1041C4×Q8—24no—
1042C4×Q8—224no—
1043C4×Q8—224no—
1044C4×Q8—224no—
1045C4×D4—24no—
1046C4×D4—224no—
1047C4×D4—224no—
1048C4×D4—224no—
1049#117—118no—
1050#117—224no—
1051#117—224no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4C22×D1111yescharacteristic
1071C2×C4⋊C4C22×D1111yescharacteristic
1072C2×C4⋊C4C22×D1111yescharacteristic
1073C2×C4⋊C4C22×D1111yescharacteristic
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—224no—
1111C2×C22⋊C4—224no—
1112C2×C22⋊C4C22×D1111yescharacteristic
1113C2×C22⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C22⋊C4C22×D1111yescharacteristic
1117C2×C22⋊C4C22×D1111yescharacteristic
1118C2×C22⋊C4C22×D1111yescharacteristic
1119C2×C22⋊C4C22×D1111yescharacteristic
1120C2×C22⋊C4C22×D1111yescharacteristic
1121C2×C22⋊C4C22×D1111yescharacteristic
1122C2×C42—111no—
1123C2×C42—111no—
1124C2×C42—111no—
1125C2×C42—111no—
1126C2×C42—111no—
1127C2×C42—111no—
1128C2×C42—111no—
1129C2×C42—111no—
1130C2×C42—111no—
1131C2×C42—111no—
1132C2×C42—111no—
1133C2×C42—111no—
1134C2×C42—111no—
1135C2×C42—224no—
1136C2×C42—224no—
1137C2×C42C22×D1111yescharacteristic
1138C2×C42C22×D1111yescharacteristic
1139C2×C42C22×D1111yescharacteristic
1140C2×C42C22×D1111yescharacteristic
1141C2×C42C22×D1111yescharacteristic
1142C2×C42C22×D1111yescharacteristic
1143C2×C42C22×D1111yescharacteristic
1144C2×C42C22×D1111yescharacteristic
1145C2×C42C22×D1111yescharacteristic
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95C22×D1111yescharacteristic
1179#95C22×D1111yescharacteristic
1180#95C22×D1111yescharacteristic
1181#95C22×D1111yescharacteristic
1182#95C22×D1111yescharacteristic
1183#95C22×D1111yescharacteristic
1184#95C22×D1111yescharacteristic
1185#95C22×D1111yescharacteristic
1186C2×C11—42no—
1187C2×C11—81no—
1188C2×C11C22×#12411yescharacteristic
1189C2×C11#344411yescharacteristic
1190C2×C11#345511yescharacteristic
1191C2×C11D4×#4111yescharacteristic
1192C2×C11D4×#4111yescharacteristic
1193C2×C11#347511yescharacteristic
1194C2×C11#347511yescharacteristic
1195D11—24no—
1196D11—42no—
1197D11—81no—
1198C24—111no—
1199C24—111no—
1200C24—111no—
1201C24—222no—
1202C24—222no—
1203C24—222no—
1204C24—222no—
1205C24—222no—
1206C24—441no—
1207C24—441no—
1208C24C23×D1111yescharacteristic
1209C24C23×D1111yescharacteristic
1210#41—4416no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—41no—
1214C2×Q8—222no—
1215C2×Q8—222no—
1216C2×Q8—222no—
1217C2×Q8—222no—
1218C2×Q8—222no—
1219C2×Q8—222no—
1220C2×Q8—222no—
1221C2×Q8—222no—
1222C2×Q8—222no—
1223C2×Q8—441no—
1224C2×Q8—441no—
1225C2×Q8—441no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—41no—
1229C2×D4—222no—
1230C2×D4—222no—
1231C2×D4—222no—
1232C2×D4—222no—
1233C2×D4—222no—
1234C2×D4—222no—
1235C2×D4—222no—
1236C2×D4—222no—
1237C2×D4—222no—
1238C2×D4—222no—
1239C2×D4—222no—
1240C2×D4—222no—
1241C2×D4—222no—
1242C2×D4—222no—
1243C2×D4—222no—
1244C2×D4—441no—
1245C2×D4—441no—
1246C2×D4—441no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—111no—
1254C22×C4—114no—
1255C22×C4—114no—
1256C22×C4—114no—
1257C22×C4—111no—
1258C22×C4—111no—
1259C22×C4—111no—
1260C22×C4—111no—
1261C22×C4—111no—
1262C22×C4—111no—
1263C22×C4—111no—
1264C22×C4—111no—
1265C22×C4—111no—
1266C22×C4—111no—
1267C22×C4—111no—
1268C22×C4—111no—
1269C22×C4—222no—
1270C22×C4—222no—
1271C22×C4—222no—
1272C22×C4—222no—
1273C22×C4—222no—
1274C22×C4—222no—
1275C22×C4—222no—
1276C22×C4—222no—
1277C22×C4—222no—
1278C22×C4—222no—
1279C22×C4—222no—
1280C22×C4—222no—
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—441no—
1293C22×C4—441no—
1294C22×C4—441no—
1295C22×C4—441no—
1296C22×C4—4416no—
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C22×C4C23×D1111yescharacteristic
1304C22×C4C23×D1111yescharacteristic
1305C22×C4C23×D1111yescharacteristic
1306C22×C4C23×D1111yescharacteristic
1307C22×C4C23×D1111yescharacteristic
1308C22×C4C23×D1111yescharacteristic
1309C22×C4C23×D1111yescharacteristic
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—114no—
1315C4⋊C4—114no—
1316C4⋊C4—222no—
1317C4⋊C4—222no—
1318C4⋊C4—222no—
1319C4⋊C4—222no—
1320C4⋊C4—222no—
1321C4⋊C4—222no—
1322C4⋊C4—222no—
1323C4⋊C4—222no—
1324C4⋊C4—222no—
1325C4⋊C4—222no—
1326C4⋊C4—222no—
1327C4⋊C4—222no—
1328C4⋊C4—222no—
1329C4⋊C4—222no—
1330C4⋊C4—222no—
1331C4⋊C4—222no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—114no—
1342C22⋊C4—114no—
1343C22⋊C4—114no—
1344C22⋊C4—222no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
1359C22⋊C4—222no—
1360C22⋊C4—222no—
1361C22⋊C4—222no—
1362C22⋊C4—222no—
1363C22⋊C4—222no—
1364C22⋊C4—222no—
1365C22⋊C4—222no—
1366C22⋊C4—222no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4—441no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C22⋊C4—441no—
1373C22⋊C4—441no—
1374C22⋊C4—441no—
1375C22⋊C4—441no—
1376C22⋊C4—441no—
1377C22⋊C4#433914yescomplemented
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—41no—
1385C42—41no—
1386C42—114no—
1387C42—222no—
1388C42—222no—
1389C42—222no—
1390C42—222no—
1391C42—222no—
1392C42—222no—
1393C42—222no—
1394C42—222no—
1395C42—222no—
1396C42—222no—
1397C42—441no—
1398C42—441no—
1399C42D4×D1114yes—
1400C11#3481311yescharacteristic, complemented, Sylow
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—112no—
1415C23—112no—
1416C23—112no—
1417C23—112no—
1418C23—228no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—221no—
1431C23—221no—
1432C23—221no—
1433C23—221no—
1434C23—221no—
1435C23—221no—
1436C23—444no—
1437C23—444no—
1438C23—444no—
1439C23—444no—
1440C23—444no—
1441C23—444no—
1442C23C2×#433912yes—
1443C23C24×D1111yescharacteristic
1444Q8—44no—
1445Q8—444no—
1446Q8—444no—
1447Q8—444no—
1448Q8—444no—
1449D4—44no—
1450D4—444no—
1451D4—444no—
1452D4—444no—
1453D4—444no—
1454D4—444no—
1455D4—444no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—112no—
1490C2×C4—112no—
1491C2×C4—112no—
1492C2×C4—1116no—
1493C2×C4—112no—
1494C2×C4—112no—
1495C2×C4—112no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—444no—
1530C2×C4—444no—
1531C2×C4—444no—
1532C2×C4—444no—
1533C2×C4—444no—
1534C2×C4—444no—
1535C2×C4—444no—
1536C2×C4—444no—
1537C2×C4—444no—
1538C2×C4C2×#433912yes—
1539C2×C4C2×#433912yes—
1540C2×C4C2×D4×D1112yes—
1541C2×C4C2×D4×D1112yes—
1542C2×C4C2×D4×D1112yes—
1543C2×C4#41×D1112yes—
1544C2×C4#41×D1112yes—
1545C2×C4#41×D1112yes—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—114no—
1561C22—222no—
1562C22—222no—
1563C22—222no—
1564C22—222no—
1565C22—222no—
1566C22—222no—
1567C22—222no—
1568C22—222no—
1569C22—222no—
1570C22—4416no—
1571C22—441no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—441no—
1581C22—441no—
1582C22C22×#433911yescharacteristic
1583C22C22×D4×D1111yescharacteristic
1584C22C2×#41×D1111yescharacteristic
1585C22C2×#41×D1111yescharacteristic
1586C22C2×#41×D1111yescharacteristic
1587C22#1062345311yescharacteristic
1588C22#1062345311yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—114no—
1602C4—222no—
1603C4—222no—
1604C4—222no—
1605C4—441no—
1606C4—441no—
1607C4—441no—
1608C4—441no—
1609C4—441no—
1610C4—441no—
1611C4—441no—
1612C4—441no—
1613C4—441no—
1614C4D11×#12414yes—
1615C2—42no—
1616C2—81no—
1617C2—224no—
1618C2—442no—
1619C2—881no—
1620C2C2×D11×#12411yescharacteristic
1621C2#1308190911yescharacteristic
1622C2#1308199911yescharacteristic
1623C2#1308210211yescharacteristic
1624C2D4×#433911yescharacteristic
1625C2#1308216811yescharacteristic
1626C2#1308217811yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC4×C11×#124C2
prime radicalC2×#10623078C2
hypercenterC4×#124D11
hypocenterC11#34813
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#124

Complements

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

NH ≅ G/Ntype
1. C2×#10623109C2semidirect
3. #13072989C2semidirect
4. #13072987C2semidirect
5. #13072978C2semidirect
6. #13072976C2semidirect
7. #13072967C2semidirect
8. #13072965C2semidirect
9. #13072956C2semidirect
10. #13072954C2semidirect
11. #13072949C2semidirect
12. #13072947C2semidirect
13. #13072941C2semidirect
14. #13072939C2semidirect
15. #13072748C2semidirect
16. #13072746C2semidirect
17. #13072740C2semidirect
18. #13072738C2semidirect
19. #13071903C2semidirect
20. #13071903C2semidirect
21. #13071900C2semidirect
22. #13071899C2semidirect
23. C4×#66928C2semidirect
24. C4×#66938C2semidirect
25. C4×#66938C2semidirect
26. #13071102C2semidirect
27. #13071102C2semidirect
28. #13070997C2semidirect
29. C4×#66925C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C4×C11×#124C2semidirect
35. C2×C4×Q8×C11C22semidirect
38. C2×#66997C22semidirect
50. C2×#66942C22semidirect
51. C2×#66942C22semidirect
52. C2×#66941C22semidirect
68. C2×C4×Dic22C22semidirect
69. C2×C4×Dic22C22semidirect
70. C2×C4×Dic22C22semidirect
71. C11×#391C22semidirect
75. C11×#388C22semidirect
76. C11×#388C22semidirect
77. C11×#382C22semidirect
80. C4×C11×C22⋊C4C22semidirect
81. C4×C11×C22⋊C4C22semidirect
82. C43×C11C22semidirect
84. #10622844C22semidirect
89. C4×C22⋊Dic11C22semidirect
90. C4×C22⋊Dic11C22semidirect
92. #10622606C22semidirect
95. #10622599C22semidirect
96. #10622599C22semidirect
97. #10622595C22semidirect
98. #10622595C22semidirect
105. #10622570C22semidirect
106. #10622570C22semidirect
107. #10622570C22semidirect
108. #10622570C22semidirect
116. #10622566C22semidirect
118. #10622565C22semidirect
120. #10622564C22semidirect
123. #10622560C22semidirect
124. #10622560C22semidirect
126. #10622557C22semidirect
133. #10622553C22semidirect
134. #10622553C22semidirect
144. C4×(C2×D11)⋊C4C22semidirect
145. C4×(C2×D11)⋊C4C22semidirect
146. C4×(C2×D11)⋊C4C22semidirect
147. C4×(C2×D11)⋊C4C22semidirect
148. #10622549C22semidirect
149. #10622545C22semidirect
150. #10622545C22semidirect
151. C4×Dic11⋊C4C22semidirect
152. C4×Dic11⋊C4C22semidirect
153. C4×Dic11⋊C4C22semidirect
154. C4×Dic11⋊C4C22semidirect
155. C42×Dic11C22semidirect
156. #10622542C22semidirect
158. #10622288C22semidirect
160. #10622286C22semidirect
162. #10622283C22semidirect
164. #10622282C22semidirect
177. #10622273C22semidirect
178. #10622273C22semidirect
179. #10622271C22semidirect
180. #10622271C22semidirect
181. #10622263C22semidirect
182. #10622263C22semidirect
183. #10622259C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
511. C11×C22⋊C4#41semidirect
556. (C2×D11)⋊C4#41semidirect
613. C4×#124D11semidirect
759. C4×D11#124semidirect
791. C2×C4×Q8C2×D11semidirect
842. #391C2×D11semidirect
865. #388C2×D11semidirect
866. #388C2×D11semidirect
878. #382C2×D11semidirect
913. C4×C22⋊C4C2×D11semidirect
914. C4×C22⋊C4C2×D11semidirect
920. C43C2×D11semidirect
1377. C22⋊C4#4339semidirect
1400. C11#34813semidirect

Maximal subgroups

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

subgroupindex
C2×#106231092
C2×#106230782
#130729892
#130729872
#130729782
#130729762
#130729672
#130729652
#130729562
#130729542
#130729492
#130729472
#130729412
#130729392
#130727482
#130727462
#130727402
#130727382
#130719032
#130719002
#130718992
C4×#669282
C4×#669382
#130711022
#130709972
C4×#669252
C4×C22⋊C4×D112
C4×C11×#1242
#3481311