Finite Group Databasebeta

← #14922679

Subgroups — #14922679

Order 2816.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1532 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623109C211yesmaximal, characteristic, complemented
2C2×#10623053C211yesmaximal, characteristic
3#13072483C211yesmaximal, characteristic, complemented
4#13072481C211yesmaximal, characteristic, complemented
5#13072472C211yesmaximal, characteristic, complemented
6#13072470C211yesmaximal, characteristic, complemented
7#13072461C211yesmaximal, characteristic, complemented
8#13072459C211yesmaximal, characteristic, complemented
9#13072450C211yesmaximal, characteristic, complemented
10#13072448C211yesmaximal, characteristic, complemented
11#13072443C211yesmaximal, characteristic, complemented
12#13072441C211yesmaximal, characteristic, complemented
13#13072435C211yesmaximal, characteristic, complemented
14#13072433C211yesmaximal, characteristic, complemented
15#13072428C211yesmaximal, characteristic, complemented
16#13072426C211yesmaximal, characteristic, complemented
17#13072420C211yesmaximal, characteristic, complemented
18#13072418C211yesmaximal, characteristic, complemented
19#13071892C211yesmaximal, characteristic, complemented
20#13071892C211yesmaximal, characteristic, complemented
21#13071884C211yesmaximal, characteristic, complemented
22C4×#66950C211yesmaximal, characteristic, complemented
23C4×#66931C211yesmaximal, characteristic, complemented
24C4×#66931C211yesmaximal, characteristic, complemented
25C4×#66999C211yesmaximal, characteristic, complemented
26#13071102C211yesmaximal, characteristic
27#13071102C211yesmaximal, characteristic
28#13071096C211yesmaximal, characteristic, complemented
29#13071096C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2396C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C2×C4×Q8×C11C2211yescharacteristic
34C2×C11×#117C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×#66999C2211yescharacteristic
37C2×#66997C2211yescharacteristic
38C22×C4×Dic11C2211yescharacteristic
39#10623109—28no—
40#10623053—28no—
41C2×#66950C2211yescharacteristic
42C2×#66950C2211yescharacteristic
43C2×#66949C2211yescharacteristic
44C2×#66949C2211yescharacteristic
45C2×#66946C2211yescharacteristic
46C2×#66946C2211yescharacteristic
47C2×C4⋊C4×D11C2211yescharacteristic
48C2×C4⋊C4×D11C2211yescharacteristic
49C2×#66942C2211yescharacteristic
50C2×#66942C2211yescharacteristic
51C2×#66941C2211yescharacteristic
52C2×#66940C2211yescharacteristic
53C2×#66940C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×#66931C2211yescharacteristic
59C2×#66931C2211yescharacteristic
60C2×#66925C2211yescharacteristic
61C2×#66925C2211yescharacteristic
62C2×#66925C2211yescharacteristic
63C2×#66925C2211yescharacteristic
64C2×C42×D11C2211yescharacteristic
65C2×C42×D11C2211yescharacteristic
66C2×C42×D11C2211yescharacteristic
67C2×C42×D11C2211yescharacteristic
68C2×C4×Dic22C2211yescharacteristic
69C2×C4×Dic22C2211yescharacteristic
70C2×C4×Dic22C2211yescharacteristic
71C11×#400C2211yescharacteristic
72C11×#399C2211yescharacteristic
73C11×#398C2211yescharacteristic
74C11×#398C2211yescharacteristic
75C11×#396C2211yescharacteristic
76C11×#396C2211yescharacteristic
77C11×#395C2211yescharacteristic
78C11×#393C2211yescharacteristic
79C4×C11×C4⋊C4C2211yescharacteristic
80C4×C11×C4⋊C4C2211yescharacteristic
81C4×C11×C4⋊C4C2211yescharacteristic
82C4×C11×C22⋊C4C2211yescharacteristic
83C4×C11×C22⋊C4C2211yescharacteristic
84#10622843C2211yescharacteristic
85C4×C22⋊Dic11C2211yescharacteristic
86C4×C22⋊Dic11C2211yescharacteristic
87#10622607C2211yescharacteristic
88#10622607C2211yescharacteristic
89#10622605C2211yescharacteristic
90#10622605C2211yescharacteristic
91#10622602C2211yescharacteristic
92#10622602C2211yescharacteristic
93#10622602C2211yescharacteristic
94#10622602C2211yescharacteristic
95#10622602C2211yescharacteristic
96#10622602C2211yescharacteristic
97#10622600C2211yescharacteristic
98#10622600C2211yescharacteristic
99#10622599C2211yescharacteristic
100#10622598C2211yescharacteristic
101#10622597C2211yescharacteristic
102#10622597C2211yescharacteristic
103#10622593C2211yescharacteristic
104#10622593C2211yescharacteristic
105#10622592C2211yescharacteristic
106#10622592C2211yescharacteristic
107#10622592C2211yescharacteristic
108#10622591C2211yescharacteristic
109#10622591C2211yescharacteristic
110C4⋊C4×Dic11C2211yescharacteristic
111C4⋊C4×Dic11C2211yescharacteristic
112#10622587C2211yescharacteristic
113#10622586C2211yescharacteristic
114#10622585C2211yescharacteristic
115#10622585C2211yescharacteristic
116#10622585C2211yescharacteristic
117#10622585C2211yescharacteristic
118#10622570C2211yescharacteristic
119#10622570C2211yescharacteristic
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622569C2211yescharacteristic
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622563C2211yescharacteristic
127#10622563C2211yescharacteristic
128#10622562C2211yescharacteristic
129#10622561C2211yescharacteristic
130#10622561C2211yescharacteristic
131#10622560C2211yescharacteristic
132#10622559C2211yescharacteristic
133#10622559C2211yescharacteristic
134#10622555C2211yescharacteristic
135#10622555C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic
137C4×(C2×D11)⋊C4C2211yescharacteristic
138C4×(C2×D11)⋊C4C2211yescharacteristic
139C4×(C2×D11)⋊C4C2211yescharacteristic
140C4×C4⋊Dic11C2211yescharacteristic
141C4×C4⋊Dic11C2211yescharacteristic
142C4×C4⋊Dic11C2211yescharacteristic
143C4×Dic11⋊C4C2211yescharacteristic
144C4×Dic11⋊C4C2211yescharacteristic
145C4×Dic11⋊C4C2211yescharacteristic
146C4×Dic11⋊C4C2211yescharacteristic
147C4×Dic11⋊C4C2211yescharacteristic
148C4×Dic11⋊C4C2211yescharacteristic
149#10622289C2211yescharacteristic
150#10622289C2211yescharacteristic
151#10622286C2211yescharacteristic
152#10622286C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622281C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163D11×#95C2211yescharacteristic
164D11×#95C2211yescharacteristic
165#10622271C2211yescharacteristic
166#10622271C2211yescharacteristic
167#10622270C2211yescharacteristic
168#10622270C2211yescharacteristic
169#10622268C2211yescharacteristic
170#10622268C2211yescharacteristic
171#10622267C2211yescharacteristic
172#10622267C2211yescharacteristic
173#10622266C2211yescharacteristic
174#10622266C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622260C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188#10622259C2211yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C2×#4339—24no—
196C2×#4339—24no—
197C2×#4339Q818yescomplemented
198C22×D44C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×Dic22C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C4×Q8×C11—24no—
214C11×#117—24no—
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242#66999—24no—
243#66999—24no—
244#66997—24no—
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×C4×Dic11—24no—
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
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
313#66950—24no—
314#66950—24no—
315#66949—24no—
316#66949—24no—
317#66946—24no—
318#66946—24no—
319C4⋊C4×D11—24no—
320C4⋊C4×D11—24no—
321#66942—24no—
322#66942—24no—
323#66941—24no—
324#66940—24no—
325#66940—24no—
326(C22⋊D11)⋊C4—24no—
327(C22⋊D11)⋊C4—24no—
328(C22⋊D11)⋊C4—24no—
329(C22⋊D11)⋊C4—24no—
330#66931—24no—
331#66931—24no—
332#66925—24no—
333#66925—24no—
334#66925—24no—
335#66925D418yes—
336C42×D11—24no—
337C42×D11—24no—
338C42×D11—24no—
339C42×D11—24no—
340C4×Dic22—24no—
341C4×Dic22—24no—
342C4×Dic22—24no—
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
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
383#34745—111nomaximal, Sylow
384C24×C11C2411yescharacteristic
385C23×D11C2411yescharacteristic
386C23×D11C2411yescharacteristic
387C2×Q8×C11—22no—
388C2×Q8×C11—22no—
389C2×Q8×C11—41no—
390C22×C4×C11—22no—
391C22×C4×C11—22no—
392C22×C4×C11C2×Q814yes—
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C2×C22⋊D11—22no—
408C2×C22⋊D11—22no—
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11C2×Q814yes—
412C2×C22⋊D11C2×Q814yes—
413C22×Dic11—22no—
414C22×Dic11—22no—
415C22×Dic11—22no—
416C22×Dic11—22no—
417C22×Dic11—41no—
418C22×Dic11—41no—
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433#4339—232no—
434C2×D44—22no—
435C2×D44—22no—
436C2×D44C2×Q814yes—
437C2×C4×D11—22no—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11C2×D414yes—
464C2×C4×D11C2×Q814yes—
465C2×C4×D11C2×Q814yes—
466C2×C4×D11#4114yes—
467C2×Dic22—22no—
468C2×Dic22—22no—
469C2×Dic22—22no—
470C2×Dic22—22no—
471C2×Dic22—22no—
472C2×Dic22—22no—
473C2×Dic22—22no—
474C2×Dic22—22no—
475C2×Dic22—41no—
476C2×Dic22—41no—
477C2×Dic22—41no—
478C2×Dic22C2×Q814yes—
479C11×C4⋊C4—22no—
480C11×C4⋊C4—22no—
481C11×C4⋊C4—22no—
482C11×C4⋊C4—22no—
483C11×C4⋊C4—22no—
484C11×C4⋊C4—22no—
485C11×C4⋊C4—22no—
486C11×C4⋊C4—22no—
487C11×C4⋊C4—41no—
488C11×C4⋊C4—41no—
489C11×C4⋊C4—41no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—41no—
495C11×C22⋊C4—41no—
496C42×C11—22no—
497C42×C11—22no—
498C42×C11—22no—
499C42×C11—22no—
500C42×C11—22no—
501C42×C11C2×D414yes—
502C22⋊Dic11—22no—
503C22⋊Dic11—22no—
504C22⋊Dic11—41no—
505C22⋊Dic11—41no—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—22no—
510(C2×D11)⋊C4—22no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4C2×D414yes—
521(C2×D11)⋊C4C2×D414yes—
522C4⋊Dic11—22no—
523C4⋊Dic11—22no—
524C4⋊Dic11—22no—
525C4⋊Dic11—22no—
526C4⋊Dic11—22no—
527C4⋊Dic11—22no—
528C4⋊Dic11—22no—
529C4⋊Dic11—41no—
530C4⋊Dic11#4114yescomplemented
531Dic11⋊C4—22no—
532Dic11⋊C4—22no—
533Dic11⋊C4—22no—
534Dic11⋊C4—22no—
535Dic11⋊C4—22no—
536Dic11⋊C4—22no—
537Dic11⋊C4—22no—
538Dic11⋊C4—22no—
539Dic11⋊C4—22no—
540Dic11⋊C4—22no—
541Dic11⋊C4—22no—
542Dic11⋊C4—22no—
543Dic11⋊C4—22no—
544Dic11⋊C4—22no—
545Dic11⋊C4—22no—
546Dic11⋊C4—22no—
547Dic11⋊C4—22no—
548Dic11⋊C4—22no—
549Dic11⋊C4—22no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554Dic11⋊C4C2×D414yes—
555Dic11⋊C4C2×D414yes—
556Dic11⋊C4#4114yescomplemented
557C4×Dic11—22no—
558C4×Dic11—22no—
559C4×Dic11—22no—
560C4×Dic11—22no—
561C4×Dic11—22no—
562C4×Dic11—22no—
563C4×Dic11—22no—
564C4×Dic11—22no—
565C4×Dic11—22no—
566C4×Dic11—22no—
567C4×Dic11—22no—
568C4×Dic11—22no—
569C4×Dic11—22no—
570C4×Dic11—22no—
571C4×Dic11—22no—
572C4×Dic11C2×D414yes—
573C2×#533—111no—
574C2×C4×#41—111no—
575#2454—111no—
576#2454—111no—
577#2453—111no—
578#2453—111no—
579#2452—111no—
580#2452—111no—
581#2451—111no—
582#2451—111no—
583#2450—111no—
584#2450—111no—
585#2450—111no—
586#2450—111no—
587#2449—111no—
588#2449—111no—
589#2449—111no—
590#2449—111no—
591#2396—111no—
592#2396—111no—
593#2396—111no—
594#2396D1111yescharacteristic, complemented
595C4×C22⋊Q8—111no—
596C4×C22⋊Q8—111no—
597C4×C22⋊Q8—111no—
598C4×C22⋊Q8—111no—
599#2297—111no—
600#2297—111no—
601#2296—111no—
602#2296—111no—
603C2×C4×C4⋊C4—111no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11C22×Q812yes—
611C23×C11C2511yescharacteristic
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11C22×D412yes—
623C22×D11C22×Q812yes—
624C22×D11C22×Q812yes—
625C22×D11C2×#4112yes—
626Q8×C11—44no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—28no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11C22×D412yes—
663C2×C4×C11C22×D412yes—
664C2×C4×C11C22×D412yes—
665C2×C4×C11C22×Q812yes—
666C2×C4×C11C22×Q812yes—
667C2×C4×C11C2×#4112yes—
668C2×C4×C11C2×#4112yes—
669C2×C4×C11C2×#4112yes—
670C22⋊D11—28no—
671C22⋊D11—28no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—44no—
705C2×Dic11—44no—
706C2×Dic11C22×D412yes—
707C2×Dic11C22×D412yes—
708C2×Dic11C22×D412yes—
709C2×Dic11C22×Q812yes—
710C2×Dic11C22×Q812yes—
711C2×Dic11C2×#4112yes—
712C2×Dic11C2×#4112yes—
713C2×Dic11C2×#4112yes—
714C2×Dic11C2×#4112yes—
715C2×Dic11C2×#4112yes—
716D44—28no—
717C4×D11—28no—
718C4×D11—28no—
719C4×D11—44no—
720C4×D11—44no—
721C4×D11—44no—
722C4×D11—44no—
723C4×D11—44no—
724C4×D11—44no—
725C4×D11—44no—
726C4×D11C22⋊Q8116yescomplemented
727Dic22—28no—
728Dic22—44no—
729Dic22—44no—
730Dic22—44no—
731C22×#41—111no—
732#533—228no—
733C2×C4⋊Q8—111no—
734C2×C4⋊Q8—111no—
735C2×#125—111no—
736C2×#125—111no—
737C2×C22⋊Q8—111no—
738C2×C22⋊Q8—111no—
739C2×C22⋊Q8—111no—
740C2×C22⋊Q8—111no—
741C2×C22⋊Q8—111no—
742C2×C22⋊Q8—111no—
743C2×C22⋊Q8—111no—
744C2×C22⋊Q8—111no—
745C4×#41—228no—
746C2×C4×Q8—111no—
747C2×C4×Q8—111no—
748C2×C4×Q8—111no—
749C2×C4×Q8—111no—
750C2×C4×Q8—111no—
751C2×C4×Q8C2×D1111yescharacteristic
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C2×C4×D4—111no—
755C2×C4×D4—111no—
756C2×C4×D4—111no—
757C2×C4×D4—111no—
758C2×#117—111no—
759C2×#117—111no—
760C2×#117—111no—
761C2×#117—111no—
762C2×#117C2×D1111yescharacteristic
763C22×C4⋊C4—111no—
764C22×C4⋊C4—111no—
765C22×C42—111no—
766C22×C42—111no—
767C22×C42—111no—
768C22×C42—111no—
769C22×C42—111no—
770#400—111no—
771#400—111no—
772#400—111no—
773#400C2×D1111yescharacteristic
774#399—111no—
775#399—111no—
776#399—111no—
777#399C2×D1111yescharacteristic
778#398—111no—
779#398—111no—
780#398—111no—
781#398—111no—
782#398—111no—
783#398—111no—
784#398C2×D1111yescharacteristic
785#398C2×D1111yescharacteristic
786#396—111no—
787#396—111no—
788#396—111no—
789#396—111no—
790#396—111no—
791#396—111no—
792#396C2×D1111yescharacteristic
793#396C2×D1111yescharacteristic
794#395—111no—
795#395—111no—
796#395—111no—
797#395C2×D1111yescharacteristic
798#393—111no—
799#393—111no—
800#393—111no—
801#393C2×D1111yescharacteristic
802#391—111no—
803#391—111no—
804#391—111no—
805#391—111no—
806#391—111no—
807#391—111no—
808#391—111no—
809#391—111no—
810#390—111no—
811#390—111no—
812#390—111no—
813#390—111no—
814#389—111no—
815#389—111no—
816#389—111no—
817#389—111no—
818#389—111no—
819#389—111no—
820#389—111no—
821#389—111no—
822#389—111no—
823#389—111no—
824#389—111no—
825#389—111no—
826#387—111no—
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387—111no—
832#387—111no—
833#387—111no—
834#386—111no—
835#386—111no—
836#386—111no—
837#386—111no—
838#386—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#385—111no—
850#385—111no—
851#385—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385—111no—
858#380—111no—
859#380—111no—
860#380—111no—
861#380—111no—
862C4×C4⋊C4—111no—
863C4×C4⋊C4—111no—
864C4×C4⋊C4—111no—
865C4×C4⋊C4—111no—
866C4×C4⋊C4—111no—
867C4×C4⋊C4—111no—
868C4×C4⋊C4—111no—
869C4×C4⋊C4—111no—
870C4×C4⋊C4—111no—
871C4×C4⋊C4—111no—
872C4×C4⋊C4—111no—
873C4×C4⋊C4—111no—
874C4×C4⋊C4—111no—
875C4×C4⋊C4C2×D1111yescharacteristic
876C4×C4⋊C4C2×D1111yescharacteristic
877C4×C4⋊C4C2×D1111yescharacteristic
878C4×C22⋊C4—111no—
879C4×C22⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4C2×D1111yescharacteristic
885C4×C22⋊C4C2×D1111yescharacteristic
886C2×#95—111no—
887C2×#95—111no—
888C22×C11—22no—
889C22×C11—22no—
890C22×C11—22no—
891C22×C11—41no—
892C22×C11—41no—
893C22×C11—41no—
894C22×C11—41no—
895C22×C11C23×D411yescharacteristic
896C22×C11C23×Q811yescharacteristic
897C22×C11C22×#4111yescharacteristic
898C22×C11C22×#4111yescharacteristic
899C22×C11C22×#4111yescharacteristic
900C22×C11#58511yescharacteristic
901C22×C11#58511yescharacteristic
902C2×D11—22no—
903C2×D11—22no—
904C2×D11—22no—
905C2×D11—22no—
906C2×D11—22no—
907C2×D11—22no—
908C2×D11—22no—
909C2×D11—22no—
910C2×D11—22no—
911C2×D11—41no—
912C2×D11—41no—
913C2×D11—41no—
914C2×D11—41no—
915C2×D11C2×C22⋊Q814yes—
916C4×C11—22no—
917C4×C11—22no—
918C4×C11—22no—
919C4×C11—22no—
920C4×C11—22no—
921C4×C11—41no—
922C4×C11—41no—
923C4×C11—41no—
924C4×C11—41no—
925C4×C11—41no—
926C4×C11—41no—
927C4×C11—41no—
928C4×C11—41no—
929C4×C11C2×C22⋊Q814yes—
930Dic11—22no—
931Dic11—22no—
932Dic11—22no—
933Dic11—22no—
934Dic11—22no—
935Dic11—22no—
936Dic11—22no—
937Dic11—41no—
938Dic11—41no—
939Dic11—41no—
940Dic11—41no—
941Dic11—41no—
942Dic11—41no—
943Dic11C2×C22⋊Q814yes—
944C2×#41—118no—
945C2×#41—224no—
946C2×#41—224no—
947C22×Q8—111no—
948C22×Q8—111no—
949C22×Q8—111no—
950C22×Q8—111no—
951C22×Q8C22×D1111yescharacteristic
952C22×D4—111no—
953C22×D4—111no—
954C22×D4—111no—
955C23×C4—111no—
956C23×C4—111no—
957C23×C4—111no—
958C23×C4—111no—
959C23×C4—111no—
960C23×C4—111no—
961C23×C4—111no—
962C23×C4—111no—
963C23×C4—111no—
964C23×C4—111no—
965C23×C4—111no—
966C23×C4—111no—
967C23×C4C22×D1111yescharacteristic
968C4⋊Q8—224no—
969C4⋊Q8—224no—
970#125—224no—
971#125—224no—
972C22⋊Q8—224no—
973C22⋊Q8—224no—
974C22⋊Q8—224no—
975C22⋊Q8—224no—
976C22⋊Q8—224no—
977C22⋊Q8—224no—
978C22⋊Q8—224no—
979C22⋊Q8—224no—
980C4×Q8—24no—
981C4×Q8—224no—
982C4×Q8—224no—
983C4×Q8—224no—
984C4×Q8—224no—
985C4×Q8—224no—
986C4×D4—224no—
987C4×D4—224no—
988C4×D4—224no—
989C4×D4—224no—
990C4×D4—224no—
991C4×D4—224no—
992#117—24no—
993#117—118no—
994#117—224no—
995#117—224no—
996#117—224no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4—111no—
1030C2×C4⋊C4—111no—
1031C2×C4⋊C4—111no—
1032C2×C4⋊C4—224no—
1033C2×C4⋊C4—224no—
1034C2×C4⋊C4C22×D1111yescharacteristic
1035C2×C4⋊C4C22×D1111yescharacteristic
1036C2×C4⋊C4C22×D1111yescharacteristic
1037C2×C4⋊C4C22×D1111yescharacteristic
1038C2×C4⋊C4C22×D1111yescharacteristic
1039C2×C4⋊C4C22×D1111yescharacteristic
1040C2×C4⋊C4C22×D1111yescharacteristic
1041C2×C4⋊C4C22×D1111yescharacteristic
1042C2×C4⋊C4C22×D1111yescharacteristic
1043C2×C4⋊C4C22×D1111yescharacteristic
1044C2×C4⋊C4C22×D1111yescharacteristic
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4C22×D1111yescharacteristic
1066C2×C22⋊C4C22×D1111yescharacteristic
1067C2×C22⋊C4C22×D1111yescharacteristic
1068C2×C22⋊C4C22×D1111yescharacteristic
1069C2×C22⋊C4C22×D1111yescharacteristic
1070C2×C22⋊C4C22×D1111yescharacteristic
1071C2×C42—111no—
1072C2×C42—111no—
1073C2×C42—111no—
1074C2×C42—111no—
1075C2×C42—111no—
1076C2×C42—111no—
1077C2×C42—111no—
1078C2×C42—111no—
1079C2×C42—111no—
1080C2×C42—111no—
1081C2×C42—111no—
1082C2×C42—111no—
1083C2×C42—111no—
1084C2×C42—111no—
1085C2×C42—111no—
1086C2×C42—111no—
1087C2×C42—224no—
1088C2×C42—224no—
1089C2×C42—224no—
1090C2×C42—224no—
1091C2×C42—224no—
1092C2×C42C22×D1111yescharacteristic
1093C2×C42C22×D1111yescharacteristic
1094C2×C42C22×D1111yescharacteristic
1095C2×C42C22×D1111yescharacteristic
1096C2×C42C22×D1111yescharacteristic
1097C2×C42C22×D1111yescharacteristic
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95C22×D1111yescharacteristic
1129#95C22×D1111yescharacteristic
1130#95C22×D1111yescharacteristic
1131#95C22×D1111yescharacteristic
1132#95C22×D1111yescharacteristic
1133#95C22×D1111yescharacteristic
1134#95C22×D1111yescharacteristic
1135#95C22×D1111yescharacteristic
1136#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138C2×C11—42no—
1139C2×C11C22×C22⋊Q811yescharacteristic
1140C2×C11#344411yescharacteristic
1141C2×C11#345511yescharacteristic
1142C2×C11D4×#4111yescharacteristic
1143C2×C11D4×#4111yescharacteristic
1144C2×C11Q8×#4111yescharacteristic
1145C2×C11Q8×#4111yescharacteristic
1146D11—24no—
1147D11—42no—
1148C24—111no—
1149C24—111no—
1150C24C23×D1111yescharacteristic
1151#41—2232no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—41no—
1155C2×Q8—114no—
1156C2×Q8—222no—
1157C2×Q8—222no—
1158C2×Q8—222no—
1159C2×Q8—222no—
1160C2×Q8—222no—
1161C2×Q8—222no—
1162C2×Q8—222no—
1163C2×Q8—222no—
1164C2×Q8—441no—
1165C2×Q8—441no—
1166C2×Q8—441no—
1167C2×D4—114no—
1168C2×D4—114no—
1169C2×D4—114no—
1170C2×D4—222no—
1171C2×D4—222no—
1172C2×D4—222no—
1173C2×D4—222no—
1174C2×D4—222no—
1175C2×D4—222no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—111no—
1179C22×C4—114no—
1180C22×C4—114no—
1181C22×C4—114no—
1182C22×C4—111no—
1183C22×C4—111no—
1184C22×C4—111no—
1185C22×C4—111no—
1186C22×C4—111no—
1187C22×C4—111no—
1188C22×C4—111no—
1189C22×C4—114no—
1190C22×C4—111no—
1191C22×C4—111no—
1192C22×C4—111no—
1193C22×C4—111no—
1194C22×C4—111no—
1195C22×C4—111no—
1196C22×C4—222no—
1197C22×C4—222no—
1198C22×C4—222no—
1199C22×C4—222no—
1200C22×C4—222no—
1201C22×C4—222no—
1202C22×C4—222no—
1203C22×C4—222no—
1204C22×C4—222no—
1205C22×C4—222no—
1206C22×C4—222no—
1207C22×C4—222no—
1208C22×C4—222no—
1209C22×C4—222no—
1210C22×C4—222no—
1211C22×C4—222no—
1212C22×C4—222no—
1213C22×C4—222no—
1214C22×C4—222no—
1215C22×C4—222no—
1216C22×C4—222no—
1217C22×C4—222no—
1218C22×C4—441no—
1219C22×C4—441no—
1220C22×C4—441no—
1221C22×C4—441no—
1222C22×C4—441no—
1223C22×C4—441no—
1224C22×C4—441no—
1225C22×C4—441no—
1226C22×C4—441no—
1227C22×C4—441no—
1228C22×C4Q8×D1114yes—
1229C22×C4C23×D1111yescharacteristic
1230C22×C4C23×D1111yescharacteristic
1231C22×C4C23×D1111yescharacteristic
1232C22×C4C23×D1111yescharacteristic
1233C22×C4C23×D1111yescharacteristic
1234C22×C4C23×D1111yescharacteristic
1235C22×C4C23×D1111yescharacteristic
1236C22×C4C23×D1111yescharacteristic
1237C22×C4C23×D1111yescharacteristic
1238C22×C4C23×D1111yescharacteristic
1239C22×C4C23×D1111yescharacteristic
1240C22×C4C23×D1111yescharacteristic
1241C22×C4C23×D1111yescharacteristic
1242C22×C4C23×D1111yescharacteristic
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—114no—
1255C4⋊C4—114no—
1256C4⋊C4—114no—
1257C4⋊C4—114no—
1258C4⋊C4—222no—
1259C4⋊C4—222no—
1260C4⋊C4—222no—
1261C4⋊C4—222no—
1262C4⋊C4—222no—
1263C4⋊C4—222no—
1264C4⋊C4—222no—
1265C4⋊C4—222no—
1266C4⋊C4—222no—
1267C4⋊C4—222no—
1268C4⋊C4—222no—
1269C4⋊C4—222no—
1270C4⋊C4—222no—
1271C4⋊C4—222no—
1272C4⋊C4—222no—
1273C4⋊C4—222no—
1274C4⋊C4—222no—
1275C4⋊C4—222no—
1276C4⋊C4—222no—
1277C4⋊C4—222no—
1278C4⋊C4—222no—
1279C4⋊C4—222no—
1280C4⋊C4—222no—
1281C4⋊C4—222no—
1282C4⋊C4—222no—
1283C4⋊C4—222no—
1284C4⋊C4—441no—
1285C4⋊C4—441no—
1286C4⋊C4—441no—
1287C4⋊C4—441no—
1288C4⋊C4—441no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—114no—
1296C22⋊C4—114no—
1297C22⋊C4—222no—
1298C22⋊C4—222no—
1299C22⋊C4—222no—
1300C22⋊C4—222no—
1301C22⋊C4—222no—
1302C22⋊C4—222no—
1303C22⋊C4—222no—
1304C22⋊C4—222no—
1305C22⋊C4—222no—
1306C22⋊C4—222no—
1307C22⋊C4—222no—
1308C22⋊C4—222no—
1309C22⋊C4—441no—
1310C22⋊C4—441no—
1311C22⋊C4—441no—
1312C22⋊C4—441no—
1313C22⋊C4—441no—
1314C22⋊C4—441no—
1315C42—22no—
1316C42—22no—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—114no—
1321C42—222no—
1322C42—222no—
1323C42—222no—
1324C42—222no—
1325C42—222no—
1326C42—222no—
1327C42—222no—
1328C42—222no—
1329C42—222no—
1330C42—222no—
1331C42—222no—
1332C42—222no—
1333C42—222no—
1334C42—222no—
1335C42—222no—
1336C42D4×D1114yes—
1337C11#3474511yescharacteristic, complemented, Sylow
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—112no—
1345C23—112no—
1346C23—112no—
1347C23—112no—
1348C23—221no—
1349C23—221no—
1350C23—221no—
1351C23—221no—
1352C23—221no—
1353C23—221no—
1354C23—221no—
1355C23—221no—
1356C23—221no—
1357C23—221no—
1358C23C2×Q8×D1112yes—
1359C23C24×D1111yescharacteristic
1360Q8—44no—
1361Q8—228no—
1362Q8—444no—
1363Q8—444no—
1364Q8—444no—
1365D4—228no—
1366D4—228no—
1367D4—228no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—28no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—112no—
1404C2×C4—112no—
1405C2×C4—112no—
1406C2×C4—1116no—
1407C2×C4—112no—
1408C2×C4—112no—
1409C2×C4—112no—
1410C2×C4—112no—
1411C2×C4—112no—
1412C2×C4—112no—
1413C2×C4—112no—
1414C2×C4—228no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—228no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
1448C2×C4—444no—
1449C2×C4—444no—
1450C2×C4—444no—
1451C2×C4—444no—
1452C2×C4—444no—
1453C2×C4—444no—
1454C2×C4—444no—
1455C2×C4—444no—
1456C2×C4—444no—
1457C2×C4C2×D4×D1112yes—
1458C2×C4C2×D4×D1112yes—
1459C2×C4C2×D4×D1112yes—
1460C2×C4C2×Q8×D1112yes—
1461C2×C4C2×Q8×D1112yes—
1462C2×C4#41×D1112yes—
1463C2×C4#41×D1112yes—
1464C2×C4#41×D1112yes—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—114no—
1473C22—222no—
1474C22—222no—
1475C22—222no—
1476C22—222no—
1477C22—222no—
1478C22—222no—
1479C22—222no—
1480C22—222no—
1481C22—222no—
1482C22—441no—
1483C22—441no—
1484C22—441no—
1485C22—441no—
1486C22C22×D4×D1111yescharacteristic
1487C22C22×Q8×D1111yescharacteristic
1488C22C2×#41×D1111yescharacteristic
1489C22C2×#41×D1111yescharacteristic
1490C22C2×#41×D1111yescharacteristic
1491C22#1062345311yescharacteristic
1492C22#1062345311yescharacteristic
1493C4—22no—
1494C4—22no—
1495C4—22no—
1496C4—22no—
1497C4—22no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—114no—
1507C4—222no—
1508C4—222no—
1509C4—222no—
1510C4—222no—
1511C4—222no—
1512C4—222no—
1513C4—222no—
1514C4—441no—
1515C4—441no—
1516C4—441no—
1517C4—441no—
1518C4—441no—
1519C4—441no—
1520C4D11×C22⋊Q814yes—
1521C2—42no—
1522C2—224no—
1523C2—442no—
1524C2C2×D11×C22⋊Q811yescharacteristic
1525C2#1308191011yescharacteristic
1526C2#1308199911yescharacteristic
1527C2#1308209911yescharacteristic
1528C2#1308210211yescharacteristic
1529C2#1308219411yescharacteristic
1530C2#1308219411yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2396C2
prime radicalC22×#4339C22
hypercenter#2396D11
hypocenterC11#34745
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2396

Complements

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

NH ≅ G/Ntype
1. C2×#10623109C2semidirect
3. #13072483C2semidirect
4. #13072481C2semidirect
5. #13072472C2semidirect
6. #13072470C2semidirect
7. #13072461C2semidirect
8. #13072459C2semidirect
9. #13072450C2semidirect
10. #13072448C2semidirect
11. #13072443C2semidirect
12. #13072441C2semidirect
13. #13072435C2semidirect
14. #13072433C2semidirect
15. #13072428C2semidirect
16. #13072426C2semidirect
17. #13072420C2semidirect
18. #13072418C2semidirect
19. #13071892C2semidirect
20. #13071892C2semidirect
21. #13071884C2semidirect
22. C4×#66950C2semidirect
23. C4×#66931C2semidirect
24. C4×#66931C2semidirect
25. C4×#66999C2semidirect
28. #13071096C2semidirect
29. #13071096C2semidirect
30. C4×C4⋊C4×D11C2semidirect
31. C11×#2396C2semidirect
197. C2×#4339Q8semidirect
530. C4⋊Dic11#41semidirect
556. Dic11⋊C4#41semidirect
594. #2396D11semidirect
726. C4×D11C22⋊Q8semidirect
1337. C11#34745semidirect

Maximal subgroups

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

subgroupindex
C2×#106231092
C2×#106230532
#130724832
#130724812
#130724722
#130724702
#130724612
#130724592
#130724502
#130724482
#130724432
#130724412
#130724352
#130724332
#130724282
#130724262
#130724202
#130724182
#130718922
#130718842
C4×#669502
C4×#669312
C4×#669992
#130711022
#130710962
C4×C4⋊C4×D112
C11×#23962
#3474511