Finite Group Databasebeta

← #14923724

Subgroups — #14923724

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×#10623153C211yesmaximal, characteristic, complemented
2C2×#10623187C211yesmaximal, characteristic
3#13072989C211yesmaximal, characteristic, complemented
4#13072985C211yesmaximal, characteristic, complemented
5#13072978C211yesmaximal, characteristic, complemented
6#13072974C211yesmaximal, characteristic, complemented
7#13072967C211yesmaximal, characteristic, complemented
8#13072963C211yesmaximal, characteristic, complemented
9#13072956C211yesmaximal, characteristic, complemented
10#13072952C211yesmaximal, characteristic, complemented
11#13072946C211yesmaximal, characteristic, complemented
12#13072942C211yesmaximal, characteristic, complemented
13#13072938C211yesmaximal, characteristic, complemented
14#13072749C211yesmaximal, characteristic, complemented
15#13072747C211yesmaximal, characteristic, complemented
16#13072744C211yesmaximal, characteristic, complemented
17#13072742C211yesmaximal, characteristic, complemented
18#13071905C211yesmaximal, characteristic, complemented
19#13071905C211yesmaximal, characteristic, complemented
20#13071901C211yesmaximal, characteristic, complemented
21#13071898C211yesmaximal, characteristic, complemented
22#13071159C211yesmaximal, characteristic, complemented
23#13071157C211yesmaximal, characteristic, complemented
24#13071157C211yesmaximal, characteristic, complemented
25#13071155C211yesmaximal, characteristic, complemented
26#13071101C211yesmaximal, characteristic, complemented
27#13071101C211yesmaximal, characteristic, complemented
28#13070996C211yesmaximal, characteristic, complemented
29C4×#66930C211yesmaximal, characteristic, complemented
30C2×#10622279C211yesmaximal, characteristic, complemented
31C11×#2488C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic
36C2×#67000C2211yescharacteristic
37C2×Q8×Dic11C2211yescharacteristic, complemented
38C2×#66997C2211yescharacteristic, complemented
39C2×#66990C2211yescharacteristic
40C2×#66982C2211yescharacteristic
41C22×(C2×D11)⋊C4C2211yescharacteristic
42C22×(C2×D11)⋊C4C2211yescharacteristic
43C2×#66977C2211yescharacteristic
44C22×C4×Dic11C2211yescharacteristic
45C22×C4×Dic11C2211yescharacteristic
46#10623187—28no—
47#10623153—28no—
48C2×#66949C2211yescharacteristic
49C2×#66949C2211yescharacteristic
50C2×#66946C2211yescharacteristic
51C2×#66946C2211yescharacteristic
52C2×#66942C2211yescharacteristic, complemented
53C2×#66942C2211yescharacteristic, complemented
54C2×#66941C2211yescharacteristic, complemented
55C2×#66940C2211yescharacteristic, complemented
56C2×#66940C2211yescharacteristic, complemented
57C2×#66940C2211yescharacteristic, complemented
58C2×#66938C2211yescharacteristic
59C2×#66938C2211yescharacteristic
60C2×#66937C2211yescharacteristic
61C2×#66937C2211yescharacteristic
62C2×#66935C2211yescharacteristic
63C2×(C22⋊D11)⋊C4C2211yescharacteristic
64C2×(C22⋊D11)⋊C4C2211yescharacteristic
65C2×#66931C2211yescharacteristic
66C2×#66931C2211yescharacteristic
67C2×#66930C2211yescharacteristic
68C2×#66930C2211yescharacteristic
69C2×#66930C2211yescharacteristic
70C2×#66928C2211yescharacteristic
71C11×#400C2211yescharacteristic, complemented
72C11×#400C2211yescharacteristic, complemented
73C11×#397C2211yescharacteristic, complemented
74C11×#393C2211yescharacteristic, complemented
75C11×#391C2211yescharacteristic, complemented
76C11×#388C2211yescharacteristic, complemented
77C11×#388C2211yescharacteristic, complemented
78C11×#386C2211yescharacteristic
79C11×#386C2211yescharacteristic
80C11×#382C2211yescharacteristic, complemented
81C11×#381C2211yescharacteristic
82C4×C11×C22⋊C4C2211yescharacteristic
83C2×C11×#95C2211yescharacteristic
84#10622844C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622833C2211yescharacteristic
87#10622826C2211yescharacteristic
88#10622826C2211yescharacteristic
89#10622824C2211yescharacteristic
90C4×C22⋊Dic11C2211yescharacteristic
91C2×C11⋊#95C2211yescharacteristic
92#10622606C2211yescharacteristic
93#10622604C2211yescharacteristic
94#10622604C2211yescharacteristic
95#10622603C2211yescharacteristic
96#10622603C2211yescharacteristic
97#10622601C2211yescharacteristic
98#10622595C2211yescharacteristic, complemented
99#10622595C2211yescharacteristic, complemented
100#10622590C2211yescharacteristic, complemented
101#10622587C2211yescharacteristic, complemented
102#10622574C2211yescharacteristic
103#10622574C2211yescharacteristic
104#10622572C2211yescharacteristic
105#10622572C2211yescharacteristic
106#10622571C2211yescharacteristic
107#10622571C2211yescharacteristic
108#10622570C2211yescharacteristic
109#10622570C2211yescharacteristic
110#10622570C2211yescharacteristic, complemented
111#10622570C2211yescharacteristic, complemented
112#10622570C2211yescharacteristic, complemented
113#10622570C2211yescharacteristic, complemented
114#10622568C2211yescharacteristic
115#10622568C2211yescharacteristic
116#10622566C2211yescharacteristic, complemented
117#10622560C2211yescharacteristic, complemented
118#10622558C2211yescharacteristic, complemented
119#10622558C2211yescharacteristic, complemented
120C22⋊C4×Dic11C2211yescharacteristic
121C22⋊C4×Dic11C2211yescharacteristic
122C22⋊C4×Dic11C2211yescharacteristic, complemented
123C22⋊C4×Dic11C2211yescharacteristic, complemented
124C22⋊C4×Dic11C2211yescharacteristic, complemented
125C22⋊C4×Dic11C2211yescharacteristic, complemented
126#10622553C2211yescharacteristic
127#10622553C2211yescharacteristic
128#10622552C2211yescharacteristic
129C4×Dic11⋊C4C2211yescharacteristic, complemented
130C4×Dic11⋊C4C2211yescharacteristic, complemented
131C42×Dic11C2211yescharacteristic, complemented
132C42×Dic11C2211yescharacteristic, complemented
133#10622288C2211yescharacteristic
134#10622288C2211yescharacteristic
135#10622288C2211yescharacteristic, complemented
136#10622288C2211yescharacteristic, complemented
137#10622287C2211yescharacteristic
138#10622286C2211yescharacteristic
139#10622286C2211yescharacteristic
140#10622286C2211yescharacteristic
141#10622286C2211yescharacteristic, complemented
142#10622286C2211yescharacteristic, complemented
143#10622285C2211yescharacteristic
144#10622285C2211yescharacteristic
145#10622283C2211yescharacteristic
146#10622283C2211yescharacteristic
147#10622283C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic, complemented
149#10622282C2211yescharacteristic
150#10622282C2211yescharacteristic
151#10622282C2211yescharacteristic, complemented
152#10622282C2211yescharacteristic, complemented
153#10622280C2211yescharacteristic
154#10622280C2211yescharacteristic
155#10622280C2211yescharacteristic
156#10622280C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622279C2211yescharacteristic
164#10622279C2211yescharacteristic
165#10622279C2211yescharacteristic
166#10622279C2211yescharacteristic
167#10622279C2211yescharacteristic
168#10622279C2211yescharacteristic
169#10622279C2211yescharacteristic, complemented
170#10622279C2211yescharacteristic, complemented
171#10622279C2211yescharacteristic, complemented
172#10622279C2211yescharacteristic, complemented
173#10622273C2211yescharacteristic, complemented
174#10622273C2211yescharacteristic, complemented
175#10622271C2211yescharacteristic, complemented
176#10622271C2211yescharacteristic, complemented
177#10622263C2211yescharacteristic, complemented
178#10622263C2211yescharacteristic, complemented
179#10622262C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622261C2211yescharacteristic, complemented
182#10622261C2211yescharacteristic, 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
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C2×#4341—24no—
204C2×#4341—24no—
205C2×#4341—24no—
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×C4×D11—24no—
209C22×C4×D11—24no—
210C22×C4×D11—24no—
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×Dic22C2311yescharacteristic
217C22×Dic22C2311yescharacteristic
218C22×Dic22C2311yescharacteristic
219C22×Dic22C2311yescharacteristic
220C11×#123—24no—
221C11×C22⋊Q8—24no—
222C2×C11×C4⋊C4C2311yescharacteristic
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×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245#67000—24no—
246Q8×Dic11—24no—
247#66997—24no—
248#66990—24no—
249#66982—24no—
250C2×(C2×D11)⋊C4—24no—
251C2×(C2×D11)⋊C4—24no—
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(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×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285#66977—24no—
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×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×C4×Dic11—24no—
301C2×C4×Dic11—24no—
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
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
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322#66949—24no—
323#66949—24no—
324#66946—24no—
325#66946—24no—
326#66942—24no—
327#66942—24no—
328#66941—24no—
329#66940—24no—
330#66940—24no—
331#66940—24no—
332#66938—24no—
333#66938—24no—
334#66937—24no—
335#66937—24no—
336#66935—24no—
337(C22⋊D11)⋊C4—24no—
338(C22⋊D11)⋊C4—24no—
339#66931—24no—
340#66931—24no—
341#66930—24no—
342#66930—24no—
343#66930D418yes—
344#66928—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—22no—
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×C11—22no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
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
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
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—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C22×Dic11—22no—
439C22×Dic11—22no—
440C22×Dic11—22no—
441C22×Dic11—22no—
442C22×Dic11—22no—
443C22×Dic11—22no—
444C22×Dic11—22no—
445C22×Dic11—41no—
446C22×Dic11—41no—
447C22×Dic11C2×D414yes—
448C22×Dic11#4114yes—
449C22×Dic11#4114yes—
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463#4341—416no—
464C2×D44—22no—
465C2×D44—22no—
466C2×D44—22no—
467C2×D44—22no—
468C2×D44—41no—
469C2×D44—41no—
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—22no—
479C2×C4×D11—22no—
480C2×C4×D11—22no—
481C2×C4×D11—22no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—22no—
485C2×C4×D11—416no—
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×C4⋊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⋊C4C2×D414yes—
512C42×C11—22no—
513C42×C11—41no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—22no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11C2×D414yes—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
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—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4#4114yescomplemented
550(C2×D11)⋊C4#4114yescomplemented
551C4⋊Dic11—22no—
552C4⋊Dic11—22no—
553C4⋊Dic11—22no—
554Dic11⋊C4—22no—
555Dic11⋊C4—22no—
556Dic11⋊C4—22no—
557Dic11⋊C4—22no—
558Dic11⋊C4—22no—
559Dic11⋊C4—22no—
560Dic11⋊C4—22no—
561Dic11⋊C4—22no—
562Dic11⋊C4—22no—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—22no—
566Dic11⋊C4C2×D414yes—
567Dic11⋊C4C2×D414yes—
568C4×Dic11—22no—
569C4×Dic11—22no—
570C4×Dic11—22no—
571C4×Dic11—22no—
572C4×Dic11—22no—
573C4×Dic11—22no—
574C4×Dic11—22no—
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—41no—
584C4×Dic11—41no—
585C4×Dic11—41no—
586C4×Dic11C2×D414yes—
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#2488D1111yescharacteristic, complemented
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×#124—111no—
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×C11C22×D412yes—
631C23×C11C2×#4112yes—
632C23×C11C2×#4112yes—
633C23×C11C2511yescharacteristic
634C22×D11—28no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
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—21no—
653C22×D11—21no—
654C22×D11—44no—
655C22×D11—44no—
656C22×D11—44no—
657C22×D11—44no—
658C22×D11—44no—
659C22×D11—44no—
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—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—44no—
700C2×C4×C11—44no—
701C2×C4×C11—44no—
702C2×C4×C11C22×D412yes—
703C2×C4×C11C22×D412yes—
704C2×C4×C11C2×#4112yes—
705C2×C4×C11C2×#4112yes—
706C22⋊D11—44no—
707C22⋊D11—44no—
708C22⋊D11—44no—
709C22⋊D11—44no—
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—44no—
740C2×Dic11—44no—
741C2×Dic11—44no—
742C2×Dic11#124116yescomplemented
743C2×Dic11C22×D412yes—
744C2×Dic11C22×D412yes—
745C2×Dic11C22×D412yes—
746C2×Dic11C22×D412yes—
747C2×Dic11C2×#4112yes—
748C2×Dic11C2×#4112yes—
749C2×Dic11C2×#4112yes—
750C2×Dic11C2×#4112yes—
751C2×Dic11C2×#4112yes—
752C2×Dic11C2×#4112yes—
753D44—44no—
754D44—44no—
755C4×D11—44no—
756C4×D11—44no—
757C4×D11—44no—
758C4×D11—44no—
759C4×D11—44no—
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×#124—111no—
775#525—228no—
776C2×#123—111no—
777C2×#123C2×D1111yescharacteristic
778C2×C22⋊Q8—111no—
779C2×C22⋊Q8—111no—
780C2×C22⋊Q8—111no—
781C2×C22⋊Q8—111no—
782C2×C22⋊Q8—111no—
783C2×C22⋊Q8C2×D1111yescharacteristic
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×Q8—111no—
792C2×C4×D4—111no—
793C2×C4×D4—111no—
794C2×C4×D4—111no—
795C2×C4×D4—111no—
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#400C2×D1111yescharacteristic, complemented
810#400C2×D1111yescharacteristic, complemented
811#397—111no—
812#397—111no—
813#397—111no—
814#397—111no—
815#397—111no—
816#397—111no—
817#397—111no—
818#397C2×D1111yescharacteristic, complemented
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#393C2×D1111yescharacteristic, complemented
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#390—111no—
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#388—111no—
864#388—111no—
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#386C2×D1111yescharacteristic
874#386C2×D1111yescharacteristic
875#382—111no—
876#382—111no—
877#382—111no—
878#382C2×D1111yescharacteristic, complemented
879#381—111no—
880#381C2×D1111yescharacteristic
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⋊C4—111no—
912C4×C22⋊C4—111no—
913C4×C22⋊C4—111no—
914C4×C22⋊C4C2×D1111yescharacteristic
915#376—111no—
916#376—111no—
917C2×#95—111no—
918C2×#95C2×D1111yescharacteristic
919C43—111no—
920C43—111no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—22no—
925C22×C11—22no—
926C22×C11—22no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11C2×#12414yes—
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—416no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
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×D11—41no—
964C4×C11—22no—
965C4×C11—22no—
966C4×C11—22no—
967C4×C11—22no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977Dic11—22no—
978Dic11—22no—
979Dic11—22no—
980Dic11—22no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11C2×#12414yes—
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—224no—
1016C23×C4—224no—
1017C23×C4—224no—
1018C23×C4C22×D1111yescharacteristic
1019C23×C4C22×D1111yescharacteristic
1020C23×C4C22×D1111yescharacteristic
1021C4⋊Q8—224no—
1022C4⋊Q8—224no—
1023#125—224no—
1024#125—224no—
1025#124—224no—
1026#124—224no—
1027#124—224no—
1028#124—224no—
1029#123—24no—
1030#123—224no—
1031C22⋊Q8—24no—
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—224no—
1042C4×Q8—224no—
1043C4×Q8—224no—
1044C4×Q8—224no—
1045C4×D4—224no—
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⋊C4C22×D1111yescharacteristic
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—111no—
1111C2×C22⋊C4—224no—
1112C2×C22⋊C4—224no—
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—111no—
1136C2×C42—111no—
1137C2×C42—111no—
1138C2×C42—111no—
1139C2×C42—111no—
1140C2×C42—111no—
1141C2×C42—111no—
1142C2×C42—224no—
1143C2×C42—224no—
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#95C22×D1111yescharacteristic
1173#95C22×D1111yescharacteristic
1174#95C22×D1111yescharacteristic
1175#95C22×D1111yescharacteristic
1176#95C22×D1111yescharacteristic
1177#95C22×D1111yescharacteristic
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—24no—
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—42no—
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—22no—
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—441no—
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—22no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—114no—
1257C22×C4—114no—
1258C22×C4—114no—
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—111no—
1270C22×C4—111no—
1271C22×C4—111no—
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—222no—
1293C22×C4—222no—
1294C22×C4—4416no—
1295C22×C4—441no—
1296C22×C4—441no—
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—22no—
1315C4⋊C4—114no—
1316C4⋊C4—114no—
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—41no—
1339C22⋊C4—41no—
1340C22⋊C4—114no—
1341C22⋊C4—114no—
1342C22⋊C4—114no—
1343C22⋊C4—222no—
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⋊C4D4×D1114yes—
1378C42—22no—
1379C42—41no—
1380C42—114no—
1381C42—114no—
1382C42—222no—
1383C42—222no—
1384C42—222no—
1385C42—222no—
1386C42—222no—
1387C42—222no—
1388C42—222no—
1389C42—222no—
1390C42—222no—
1391C42—222no—
1392C42—222no—
1393C42—222no—
1394C42—222no—
1395C42—222no—
1396C42—222no—
1397C42—441no—
1398C42—441no—
1399C42—441no—
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—112no—
1413C23—112no—
1414C23—228no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
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—444no—
1435C23—444no—
1436C23—444no—
1437C23—444no—
1438C23—444no—
1439C23—444no—
1440C23C2×D4×D1112yes—
1441C23#41×D1112yes—
1442C23#41×D1112yes—
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—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—112no—
1495C2×C4—112no—
1496C2×C4—112no—
1497C2×C4—112no—
1498C2×C4—112no—
1499C2×C4—112no—
1500C2×C4—1116no—
1501C2×C4—112no—
1502C2×C4—112no—
1503C2×C4—112no—
1504C2×C4—112no—
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—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—444no—
1535C2×C4—444no—
1536C2×C4—444no—
1537C2×C4—444no—
1538C2×C4—444no—
1539C2×C4—444no—
1540C2×C4—444no—
1541C2×C4—444no—
1542C2×C4C2×D4×D1112yes—
1543C2×C4C2×D4×D1112yes—
1544C2×C4#41×D1112yes—
1545C2×C4#41×D1112yes—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—222no—
1560C22—222no—
1561C22—222no—
1562C22—222no—
1563C22—222no—
1564C22—222no—
1565C22—4416no—
1566C22—441no—
1567C22—441no—
1568C22—441no—
1569C22—441no—
1570C22—441no—
1571C22—441no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—441no—
1581C22D11×#12414yes—
1582C22C22×D4×D1111yescharacteristic
1583C22C2×#41×D1111yescharacteristic
1584C22C2×#41×D1111yescharacteristic
1585C22C2×#41×D1111yescharacteristic
1586C22C2×#41×D1111yescharacteristic
1587C22#1062345511yescharacteristic
1588C22#1062345711yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—114no—
1603C4—114no—
1604C4—222no—
1605C4—222no—
1606C4—222no—
1607C4—222no—
1608C4—441no—
1609C4—441no—
1610C4—441no—
1611C4—441no—
1612C4—441no—
1613C4—441no—
1614C4—441no—
1615C2—24no—
1616C2—81no—
1617C2—442no—
1618C2—442no—
1619C2—881no—
1620C2C2×D11×#12411yescharacteristic
1621C2#1308191011yescharacteristic
1622C2#1308200211yescharacteristic
1623C2#1308210011yescharacteristic
1624C2#1308210311yescharacteristic
1625C2#1308217111yescharacteristic
1626C2#1308218111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2488C2
prime radicalC2×#10623187C2
hypercenter#2488D11
hypocenterC11#34813
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2488

Complements

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

NH ≅ G/Ntype
1. C2×#10623153C2semidirect
3. #13072989C2semidirect
4. #13072985C2semidirect
5. #13072978C2semidirect
6. #13072974C2semidirect
7. #13072967C2semidirect
8. #13072963C2semidirect
9. #13072956C2semidirect
10. #13072952C2semidirect
11. #13072946C2semidirect
12. #13072942C2semidirect
13. #13072938C2semidirect
14. #13072749C2semidirect
15. #13072747C2semidirect
16. #13072744C2semidirect
17. #13072742C2semidirect
18. #13071905C2semidirect
19. #13071905C2semidirect
20. #13071901C2semidirect
21. #13071898C2semidirect
22. #13071159C2semidirect
23. #13071157C2semidirect
24. #13071157C2semidirect
25. #13071155C2semidirect
26. #13071101C2semidirect
27. #13071101C2semidirect
28. #13070996C2semidirect
29. C4×#66930C2semidirect
30. C2×#10622279C2semidirect
31. C11×#2488C2semidirect
37. C2×Q8×Dic11C22semidirect
38. C2×#66997C22semidirect
52. C2×#66942C22semidirect
53. C2×#66942C22semidirect
54. C2×#66941C22semidirect
55. C2×#66940C22semidirect
56. C2×#66940C22semidirect
57. C2×#66940C22semidirect
71. C11×#400C22semidirect
72. C11×#400C22semidirect
73. C11×#397C22semidirect
74. C11×#393C22semidirect
75. C11×#391C22semidirect
76. C11×#388C22semidirect
77. C11×#388C22semidirect
80. C11×#382C22semidirect
98. #10622595C22semidirect
99. #10622595C22semidirect
100. #10622590C22semidirect
101. #10622587C22semidirect
110. #10622570C22semidirect
111. #10622570C22semidirect
112. #10622570C22semidirect
113. #10622570C22semidirect
116. #10622566C22semidirect
117. #10622560C22semidirect
118. #10622558C22semidirect
119. #10622558C22semidirect
122. C22⋊C4×Dic11C22semidirect
123. C22⋊C4×Dic11C22semidirect
124. C22⋊C4×Dic11C22semidirect
125. C22⋊C4×Dic11C22semidirect
129. C4×Dic11⋊C4C22semidirect
130. C4×Dic11⋊C4C22semidirect
131. C42×Dic11C22semidirect
132. C42×Dic11C22semidirect
135. #10622288C22semidirect
136. #10622288C22semidirect
141. #10622286C22semidirect
142. #10622286C22semidirect
147. #10622283C22semidirect
148. #10622283C22semidirect
151. #10622282C22semidirect
152. #10622282C22semidirect
169. #10622279C22semidirect
170. #10622279C22semidirect
171. #10622279C22semidirect
172. #10622279C22semidirect
173. #10622273C22semidirect
174. #10622273C22semidirect
175. #10622271C22semidirect
176. #10622271C22semidirect
177. #10622263C22semidirect
178. #10622263C22semidirect
179. #10622262C22semidirect
180. #10622262C22semidirect
181. #10622261C22semidirect
182. #10622261C22semidirect
183. #10622259C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
549. (C2×D11)⋊C4#41semidirect
550. (C2×D11)⋊C4#41semidirect
601. #2488D11semidirect
742. C2×Dic11#124semidirect
809. #400C2×D11semidirect
810. #400C2×D11semidirect
818. #397C2×D11semidirect
834. #393C2×D11semidirect
842. #391C2×D11semidirect
865. #388C2×D11semidirect
866. #388C2×D11semidirect
878. #382C2×D11semidirect
1400. C11#34813semidirect

Maximal subgroups

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

subgroupindex
C2×#106231532
C2×#106231872
#130729892
#130729852
#130729782
#130729742
#130729672
#130729632
#130729562
#130729522
#130729462
#130729422
#130729382
#130727492
#130727472
#130727442
#130727422
#130719052
#130719012
#130718982
#130711592
#130711572
#130711552
#130711012
#130709962
C4×#669302
C2×#106222792
C11×#24882
#3481311