Finite Group Databasebeta

← #14922611

Subgroups — #14922611

Order 2816.

2592 conjugacy classes of subgroups.

The subgroup lattice has 1612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623088C211yesmaximal, characteristic, complemented
2C2×#41×Dic11C211yesmaximal, characteristic, complemented
3#13072692C211yesmaximal, characteristic, complemented
4#13072677C211yesmaximal, characteristic, complemented
5#13072662C211yesmaximal, characteristic, complemented
6#13072647C211yesmaximal, characteristic, complemented
7#13072632C211yesmaximal, characteristic, complemented
8#13072617C211yesmaximal, characteristic, complemented
9#13072608C211yesmaximal, characteristic, complemented
10#13072593C211yesmaximal, characteristic, complemented
11#13072578C211yesmaximal, characteristic, complemented
12#13072563C211yesmaximal, characteristic, complemented
13#13072548C211yesmaximal, characteristic, complemented
14#13072533C211yesmaximal, characteristic, complemented
15#13072518C211yesmaximal, characteristic, complemented
16#13072509C211yesmaximal, characteristic, complemented
17#13072503C211yesmaximal, characteristic, complemented
18#13072494C211yesmaximal, characteristic, complemented
19#13071890C211yesmaximal, characteristic, complemented
20#13071858C211yesmaximal, characteristic, complemented
21#13071829C211yesmaximal, characteristic, complemented
22C4×#66931C211yesmaximal, characteristic, complemented
23C4×#66939C211yesmaximal, characteristic, complemented
24C4×#66988C211yesmaximal, characteristic, complemented
25C4×#66992C211yesmaximal, characteristic, complemented
26#13071112C211yesmaximal, characteristic, complemented
27#13071081C211yesmaximal, characteristic, complemented
28#13071062C211yesmaximal, characteristic, complemented
29#13071061C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
31C11×#2388C211yesmaximal, characteristic, complemented
32C22×C11×#41C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36#41×Dic11—28no—
37C2×Q8×Dic11C2211yescharacteristic
38C2×Q8×Dic11C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66991C2211yescharacteristic
41C2×#66989C2211yescharacteristic
42C2×#66988C2211yescharacteristic
43C2×D4×Dic11C2211yescharacteristic
44C2×D4×Dic11C2211yescharacteristic
45C2×D4×Dic11C2211yescharacteristic
46C2×D4×Dic11C2211yescharacteristic
47C2×D4×Dic11C2211yescharacteristic
48C2×D4×Dic11C2211yescharacteristic
49C2×C4×C22⋊D11C2211yescharacteristic
50C2×C4×C22⋊D11C2211yescharacteristic
51C2×C4×C22⋊D11C2211yescharacteristic
52C2×C4×C22⋊D11C2211yescharacteristic
53C2×#66979C2211yescharacteristic
54C2×#66979C2211yescharacteristic
55C2×#66979C2211yescharacteristic
56C2×#66979C2211yescharacteristic
57C22×C4×Dic11C2211yescharacteristic
58C22×C4×Dic11C2211yescharacteristic
59C22×C4×Dic11C2211yescharacteristic
60#10623088—28no—
61C2×#66950C2211yescharacteristic
62C2×#66943C2211yescharacteristic
63C2×#66939C2211yescharacteristic
64C2×#66936C2211yescharacteristic
65C2×#66936C2211yescharacteristic
66C2×(C22⋊D11)⋊C4C2211yescharacteristic
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×#66932C2211yescharacteristic
69C2×#66932C2211yescharacteristic
70C2×#66931C2211yescharacteristic
71C2×C42×D11C2211yescharacteristic
72C2×C4×Dic22C2211yescharacteristic
73C11×#395C2211yescharacteristic
74C11×#394C2211yescharacteristic
75C11×#394C2211yescharacteristic
76C11×#394C2211yescharacteristic
77C11×#393C2211yescharacteristic
78C11×#392C2211yescharacteristic
79C11×#392C2211yescharacteristic
80C11×#392C2211yescharacteristic
81C4×C11×C22⋊C4C2211yescharacteristic
82C4×C11×C22⋊C4C2211yescharacteristic
83C4×C11×C22⋊C4C2211yescharacteristic
84#10622844C2211yescharacteristic
85#10622842C2211yescharacteristic
86#10622836C2211yescharacteristic
87#10622836C2211yescharacteristic
88#10622836C2211yescharacteristic
89#10622836C2211yescharacteristic
90#10622835C2211yescharacteristic
91#10622835C2211yescharacteristic
92#10622835C2211yescharacteristic
93#10622835C2211yescharacteristic
94#10622834C2211yescharacteristic
95#10622834C2211yescharacteristic
96#10622833C2211yescharacteristic
97#10622833C2211yescharacteristic
98#10622833C2211yescharacteristic
99#10622833C2211yescharacteristic
100C4×C22⋊Dic11C2211yescharacteristic
101C4×C22⋊Dic11C2211yescharacteristic
102C4×C22⋊Dic11C2211yescharacteristic
103C4×C22⋊Dic11C2211yescharacteristic
104C4×C22⋊Dic11C2211yescharacteristic
105#10622607C2211yescharacteristic
106#10622603C2211yescharacteristic
107#10622598C2211yescharacteristic
108#10622598C2211yescharacteristic
109#10622597C2211yescharacteristic
110#10622594C2211yescharacteristic
111#10622594C2211yescharacteristic
112#10622591C2211yescharacteristic
113#10622591C2211yescharacteristic
114#10622585C2211yescharacteristic
115#10622574C2211yescharacteristic
116#10622572C2211yescharacteristic
117#10622571C2211yescharacteristic
118#10622571C2211yescharacteristic
119#10622570C2211yescharacteristic
120#10622569C2211yescharacteristic
121#10622569C2211yescharacteristic
122#10622565C2211yescharacteristic
123#10622564C2211yescharacteristic
124#10622564C2211yescharacteristic
125#10622564C2211yescharacteristic
126#10622564C2211yescharacteristic
127#10622564C2211yescharacteristic
128#10622564C2211yescharacteristic
129#10622563C2211yescharacteristic
130#10622563C2211yescharacteristic
131#10622563C2211yescharacteristic
132#10622563C2211yescharacteristic
133#10622562C2211yescharacteristic
134#10622561C2211yescharacteristic
135#10622561C2211yescharacteristic
136#10622561C2211yescharacteristic
137#10622560C2211yescharacteristic
138#10622559C2211yescharacteristic
139#10622559C2211yescharacteristic
140#10622558C2211yescharacteristic
141#10622558C2211yescharacteristic
142#10622558C2211yescharacteristic
143#10622558C2211yescharacteristic
144#10622558C2211yescharacteristic
145#10622557C2211yescharacteristic
146#10622557C2211yescharacteristic
147#10622557C2211yescharacteristic
148#10622557C2211yescharacteristic
149#10622556C2211yescharacteristic
150#10622556C2211yescharacteristic
151#10622555C2211yescharacteristic
152#10622555C2211yescharacteristic
153C22⋊C4×Dic11C2211yescharacteristic
154C22⋊C4×Dic11C2211yescharacteristic
155C4×(C2×D11)⋊C4C2211yescharacteristic
156C4×(C2×D11)⋊C4C2211yescharacteristic
157C4×C4⋊Dic11C2211yescharacteristic
158C4×C4⋊Dic11C2211yescharacteristic
159#10622545C2211yescharacteristic
160C4×Dic11⋊C4C2211yescharacteristic
161C4×Dic11⋊C4C2211yescharacteristic
162C4×Dic11⋊C4C2211yescharacteristic
163C4×Dic11⋊C4C2211yescharacteristic
164C42×Dic11C2211yescharacteristic
165#10622283C2211yescharacteristic
166#10622283C2211yescharacteristic
167#10622281C2211yescharacteristic
168#10622281C2211yescharacteristic
169#10622279C2211yescharacteristic
170#10622279C2211yescharacteristic
171#10622274C2211yescharacteristic
172#10622273C2211yescharacteristic
173#10622270C2211yescharacteristic
174#10622269C2211yescharacteristic
175#10622268C2211yescharacteristic
176#10622268C2211yescharacteristic
177#10622268C2211yescharacteristic
178#10622267C2211yescharacteristic
179#10622267C2211yescharacteristic
180#10622267C2211yescharacteristic
181#10622266C2211yescharacteristic
182#10622266C2211yescharacteristic
183#10622266C2211yescharacteristic
184#10622266C2211yescharacteristic
185#10622262C2211yescharacteristic
186#10622262C2211yescharacteristic
187#10622260C2211yescharacteristic
188#10622259C2211yescharacteristic
189C2×C11×#41—24no—
190C2×C11×#41—24no—
191C2×C11×#41—24no—
192C22×Q8×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×Dic22C2311yescharacteristic
217C4×D4×C11—24no—
218C4×D4×C11—24no—
219C4×D4×C11—24no—
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
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
245C2×C22⋊Dic11C2311yescharacteristic
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
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260Q8×Dic11—24no—
261Q8×Dic11—24no—
262#66992—24no—
263#66991—24no—
264#66989—24no—
265#66988—24no—
266D4×Dic11—24no—
267D4×Dic11—24no—
268D4×Dic11—24no—
269D4×Dic11—24no—
270D4×Dic11—24no—
271D4×Dic11—24no—
272C4×C22⋊D11—24no—
273C4×C22⋊D11—24no—
274C4×C22⋊D11—24no—
275C4×C22⋊D11—24no—
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
284#66979—24no—
285#66979—24no—
286#66979—24no—
287#66979D418yescomplemented
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×C4×Dic11—24no—
316C2×C4×Dic11—24no—
317C2×C4×Dic11—24no—
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C2×C4×Dic11C2311yescharacteristic
337#66950—24no—
338#66943—24no—
339#66939—24no—
340#66936—24no—
341#66936—24no—
342(C22⋊D11)⋊C4—24no—
343(C22⋊D11)⋊C4—24no—
344#66932—24no—
345#66932—24no—
346#66931—24no—
347C42×D11—24no—
348C4×Dic22—24no—
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#34741—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C24×C11C2411yescharacteristic
389C24×C11C2411yescharacteristic
390C23×D11C2411yescharacteristic
391C11×#41—232no—
392C2×Q8×C11—22no—
393C2×Q8×C11—22no—
394C2×Q8×C11—22no—
395C2×D4×C11—22no—
396C2×D4×C11—22no—
397C2×D4×C11—22no—
398C2×D4×C11—22no—
399C2×D4×C11—22no—
400C2×D4×C11—22no—
401C2×D4×C11—22no—
402C2×D4×C11—22no—
403C2×D4×C11—22no—
404C2×D4×C11—22no—
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—41no—
410C2×D4×C11—41no—
411C2×D4×C11—41no—
412C2×D4×C11—41no—
413C22×C4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
419C22×C4×C11—22no—
420C22×C4×C11—22no—
421C22×C4×C11—22no—
422C22×C4×C11C2×D414yes—
423C22×C4×C11#4114yes—
424C22×C4×C11#4114yes—
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C22×Dic11—22no—
449C22×Dic11—22no—
450C22×Dic11—22no—
451C22×Dic11—22no—
452C22×Dic11—22no—
453C22×Dic11—22no—
454C22×Dic11—22no—
455C22×Dic11—22no—
456C22×Dic11—22no—
457C22×Dic11—22no—
458C22×Dic11—22no—
459C22×Dic11—22no—
460C22×Dic11—41no—
461C22×Dic11—41no—
462C22×Dic11—41no—
463C22×Dic11—41no—
464C22×Dic11—41no—
465C22×Dic11—41no—
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C2×C4×D11—22no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—22no—
485C2×C4×D11—22no—
486C2×C4×D11—22no—
487C2×C4×D11—22no—
488C2×C4×D11—41no—
489C2×C4×D11—41no—
490C2×Dic22—22no—
491C2×Dic22—22no—
492C2×Dic22—41no—
493C11×C4⋊C4—22no—
494C11×C4⋊C4—22no—
495C11×C4⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—41no—
507C11×C22⋊C4—41no—
508C42×C11—22no—
509C42×C11—22no—
510C42×C11—22no—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—22no—
518C22⋊Dic11—22no—
519C22⋊Dic11—22no—
520C22⋊Dic11—22no—
521C22⋊Dic11—22no—
522C22⋊Dic11—22no—
523C22⋊Dic11—22no—
524C22⋊Dic11—22no—
525C22⋊Dic11—22no—
526C22⋊Dic11—41no—
527C22⋊Dic11—41no—
528C22⋊Dic11—41no—
529C22⋊Dic11—41no—
530C22⋊Dic11—41no—
531C22⋊Dic11C2×D414yes—
532C22⋊Dic11C2×D414yes—
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—41no—
540(C2×D11)⋊C4#4114yescomplemented
541C4⋊Dic11—22no—
542C4⋊Dic11—22no—
543C4⋊Dic11—22no—
544C4⋊Dic11—22no—
545C4⋊Dic11—22no—
546C4⋊Dic11—22no—
547C4⋊Dic11—22no—
548C4⋊Dic11—22no—
549C4⋊Dic11—22no—
550C4⋊Dic11—22no—
551C4⋊Dic11—41no—
552C4⋊Dic11C2×D414yes—
553C4⋊Dic11C2×D414yes—
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—41no—
565Dic11⋊C4—41no—
566Dic11⋊C4—41no—
567Dic11⋊C4#4114yescomplemented
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×Dic11C2×D414yes—
586C4×Dic11C2×D414yes—
587C2×#529—111no—
588C2×C4×#41—111no—
589#2469—111no—
590#2468—111no—
591#2467—111no—
592#2466—111no—
593#2465—111no—
594#2464—111no—
595#2463—111no—
596#2462—111no—
597#2461—111no—
598#2460—111no—
599#2459—111no—
600#2458—111no—
601#2457—111no—
602#2456—111no—
603#2456—111no—
604#2455—111no—
605#2396—111no—
606#2392—111no—
607#2388—111no—
608#2388D1111yescharacteristic, complemented
609C4×C22⋊Q8—111no—
610C4×#123—111no—
611C4×#123—111no—
612C4×#121—111no—
613#2298—111no—
614#2293—111no—
615#2290—111no—
616#2290—111no—
617C42×D4—111no—
618C23×C11—21no—
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×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11C22×D412yes—
644C23×C11C2×#4112yes—
645C23×C11C2×#4112yes—
646C23×C11C2511yescharacteristic
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11C2×#4112yes—
654Q8×C11—28no—
655D4×C11—28no—
656D4×C11—28no—
657D4×C11—28no—
658D4×C11—44no—
659D4×C11—44no—
660D4×C11—44no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
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—28no—
672C2×C4×C11—28no—
673C2×C4×C11—28no—
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—44no—
690C2×C4×C11C22×D412yes—
691C2×C4×C11C22×D412yes—
692C2×C4×C11C2×#4112yes—
693C2×C4×C11C2×#4112yes—
694C2×C4×C11C2×#4112yes—
695C2×C4×C11C2×#4112yes—
696C2×C4×C11C2×#4112yes—
697C2×C4×C11C2×#4112yes—
698C22⋊D11—28no—
699C22⋊D11—44no—
700C22⋊D11—44no—
701C22⋊D11—44no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—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—44no—
741C2×Dic11—44no—
742C2×Dic11—44no—
743C2×Dic11—44no—
744C2×Dic11—44no—
745C2×Dic11—44no—
746C2×Dic11C22×D412yes—
747C2×Dic11C22×D412yes—
748C2×Dic11C22×D412yes—
749C2×Dic11C22×D412yes—
750C2×Dic11C2×#4112yes—
751C2×Dic11C2×#4112yes—
752C2×Dic11C2×#4112yes—
753C4×D11—44no—
754C4×D11—44no—
755C4×D11—44no—
756Dic22—44no—
757C22×#41C2×D1111yescharacteristic
758#529—228no—
759C2×#126—111no—
760C2×#126—111no—
761C2×#125—111no—
762C2×#124—111no—
763C2×#123—111no—
764C2×#123—111no—
765C2×#123—111no—
766C2×#123—111no—
767C2×C22⋊Q8—111no—
768C2×C22⋊Q8—111no—
769C2×#121—111no—
770C2×#121—111no—
771C4×#41—228no—
772C2×C4×Q8—111no—
773C2×C4×Q8—111no—
774C2×C4×Q8—111no—
775C2×C4×D4—111no—
776C2×C4×D4—111no—
777C2×C4×D4—111no—
778C2×C4×D4—111no—
779C2×C4×D4—111no—
780C2×C4×D4—111no—
781C2×C4×D4—111no—
782C2×C4×D4—111no—
783C2×C4×D4—111no—
784C2×C4×D4—111no—
785C2×C4×D4—111no—
786C2×C4×D4—111no—
787C2×C4×D4C2×D1111yescharacteristic
788C2×C4×D4C2×D1111yescharacteristic
789C2×C4×D4C2×D1111yescharacteristic
790C2×#117—111no—
791C2×#117—111no—
792C2×#117—111no—
793C2×#117—111no—
794C22×C42—111no—
795C22×C42—111no—
796C22×C42—111no—
797C22×C42—111no—
798#400—111no—
799#399—111no—
800#398—111no—
801#398—111no—
802#398—111no—
803#397—111no—
804#396—111no—
805#396—111no—
806#396—111no—
807#396—111no—
808#395—111no—
809#395—111no—
810#395C2×D1111yescharacteristic
811#394—111no—
812#394—111no—
813#394—111no—
814#394—111no—
815#394—111no—
816#394—111no—
817#394C2×D1111yescharacteristic
818#394C2×D1111yescharacteristic
819#394C2×D1111yescharacteristic
820#393—111no—
821#393—111no—
822#393C2×D1111yescharacteristic
823#392—111no—
824#392—111no—
825#392—111no—
826#392—111no—
827#392C2×D1111yescharacteristic
828#392C2×D1111yescharacteristic
829#392C2×D1111yescharacteristic
830#391—111no—
831#390—111no—
832#390—111no—
833#390—111no—
834#389—111no—
835#389—111no—
836#389—111no—
837#389—111no—
838#388—111no—
839#388—111no—
840#388—111no—
841#388—111no—
842#388—111no—
843#388—111no—
844#388—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388—111no—
853#388—111no—
854#388—111no—
855#388—111no—
856#387—111no—
857#387—111no—
858#387—111no—
859#387—111no—
860#387—111no—
861#387—111no—
862#387—111no—
863#387—111no—
864#387—111no—
865#387—111no—
866#387—111no—
867#387—111no—
868#387—111no—
869#387—111no—
870#386—111no—
871#386—111no—
872#386—111no—
873#386—111no—
874#386—111no—
875#386—111no—
876#386—111no—
877#386—111no—
878#385—111no—
879#385—111no—
880#385—111no—
881#385—111no—
882#385—111no—
883#385—111no—
884#385—111no—
885#385—111no—
886#381—111no—
887#381—111no—
888#380—111no—
889#380—111no—
890C4×C4⋊C4—111no—
891C4×C4⋊C4—111no—
892C4×C4⋊C4—111no—
893C4×C4⋊C4—111no—
894C4×C4⋊C4—111no—
895C4×C4⋊C4—111no—
896C4×C4⋊C4—111no—
897C4×C4⋊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⋊C4C2×D1111yescharacteristic
910C4×C22⋊C4C2×D1111yescharacteristic
911C4×C22⋊C4C2×D1111yescharacteristic
912#376—111no—
913C43—111no—
914C22×C11—22no—
915C22×C11—22no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—41no—
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×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11C23×D411yescharacteristic
943C22×C11C22×#4111yescharacteristic
944C22×C11C22×#4111yescharacteristic
945C22×C11C22×#4111yescharacteristic
946C22×C11C22×#4111yescharacteristic
947C22×C11#58511yescharacteristic
948C22×C11#58511yescharacteristic
949C2×D11—22no—
950C2×D11—22no—
951C2×D11—22no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C4×C11—22no—
957C4×C11—22no—
958C4×C11—22no—
959C4×C11—22no—
960C4×C11—22no—
961C4×C11—41no—
962C4×C11—41no—
963C4×C11—41no—
964C4×C11—41no—
965C4×C11—41no—
966C4×C11#52514yes—
967Dic11—22no—
968Dic11—22no—
969Dic11—22no—
970Dic11—22no—
971Dic11—22no—
972Dic11—22no—
973Dic11—22no—
974Dic11—41no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982C2×#41—24no—
983C2×#41—24no—
984C2×#41—24no—
985C22×Q8—111no—
986C22×Q8C22×D1111yescharacteristic
987C22×D4—111no—
988C22×D4—111no—
989C22×D4—111no—
990C22×D4—111no—
991C22×D4C22×D1111yescharacteristic
992C22×D4C22×D1111yescharacteristic
993C22×D4C22×D1111yescharacteristic
994C22×D4C22×D1111yescharacteristic
995C22×D4C22×D1111yescharacteristic
996C22×D4C22×D1111yescharacteristic
997C23×C4—111no—
998C23×C4—111no—
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4C22×D1111yescharacteristic
1007C23×C4C22×D1111yescharacteristic
1008C23×C4C22×D1111yescharacteristic
1009C23×C4C22×D1111yescharacteristic
1010#126—224no—
1011#126—224no—
1012#125—224no—
1013#124—224no—
1014#123—224no—
1015#123—224no—
1016#123—224no—
1017#123—224no—
1018C22⋊Q8—224no—
1019C22⋊Q8—224no—
1020#121—224no—
1021#121—224no—
1022C4×Q8—224no—
1023C4×Q8—224no—
1024C4×Q8—224no—
1025C4×D4—24no—
1026C4×D4—24no—
1027C4×D4—24no—
1028C4×D4—224no—
1029C4×D4—224no—
1030C4×D4—224no—
1031C4×D4—224no—
1032C4×D4—224no—
1033C4×D4—224no—
1034C4×D4—224no—
1035C4×D4—224no—
1036C4×D4—224no—
1037C4×D4—224no—
1038C4×D4—224no—
1039C4×D4—224no—
1040#117—118no—
1041#117—224no—
1042#117—224no—
1043#117—224no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
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⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1105C2×C22⋊C4C22×D1111yescharacteristic
1106C2×C22⋊C4C22×D1111yescharacteristic
1107C2×C22⋊C4C22×D1111yescharacteristic
1108C2×C22⋊C4C22×D1111yescharacteristic
1109C2×C22⋊C4C22×D1111yescharacteristic
1110C2×C22⋊C4C22×D1111yescharacteristic
1111C2×C22⋊C4C22×D1111yescharacteristic
1112C2×C22⋊C4C22×D1111yescharacteristic
1113C2×C22⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C42—111no—
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42—111no—
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×C42—224no—
1138C2×C42—224no—
1139C2×C42C22×D1111yescharacteristic
1140C2×C42C22×D1111yescharacteristic
1141C2×C42C22×D1111yescharacteristic
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
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
1178C2×C11—42no—
1179C2×C11—42no—
1180C2×C11—42no—
1181C2×C11—81no—
1182C2×C11C2×#52511yescharacteristic
1183C2×C11#344411yescharacteristic
1184C2×C11#345511yescharacteristic
1185C2×C11D4×#4111yescharacteristic
1186C2×C11D4×#4111yescharacteristic
1187C2×C11#347511yescharacteristic
1188C2×C11#348011yescharacteristic
1189D11—42no—
1190C24—111no—
1191C24C23×D1111yescharacteristic
1192C24C23×D1111yescharacteristic
1193C24C23×D1111yescharacteristic
1194C24C23×D1111yescharacteristic
1195#41—232no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—222no—
1200C2×Q8—222no—
1201C2×Q8—441no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—222no—
1221C2×D4—222no—
1222C2×D4—222no—
1223C2×D4—222no—
1224C2×D4—222no—
1225C2×D4—222no—
1226C2×D4—222no—
1227C2×D4—222no—
1228C2×D4—222no—
1229C2×D4—441no—
1230C2×D4—441no—
1231C2×D4—441no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—111no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—111no—
1250C22×C4—111no—
1251C22×C4—111no—
1252C22×C4—111no—
1253C22×C4—111no—
1254C22×C4—111no—
1255C22×C4—111no—
1256C22×C4—222no—
1257C22×C4—222no—
1258C22×C4—222no—
1259C22×C4—222no—
1260C22×C4—222no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—222no—
1269C22×C4—222no—
1270C22×C4—222no—
1271C22×C4—222no—
1272C22×C4—222no—
1273C22×C4—222no—
1274C22×C4—222no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—441no—
1283C22×C4D4×D1114yes—
1284C22×C4#434114yes—
1285C22×C4#434114yes—
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C22×C4C23×D1111yescharacteristic
1291C22×C4C23×D1111yescharacteristic
1292C22×C4C23×D1111yescharacteristic
1293C22×C4C23×D1111yescharacteristic
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—114no—
1301C4⋊C4—114no—
1302C4⋊C4—114no—
1303C4⋊C4—222no—
1304C4⋊C4—222no—
1305C4⋊C4—222no—
1306C4⋊C4—222no—
1307C4⋊C4—222no—
1308C4⋊C4—222no—
1309C4⋊C4—222no—
1310C4⋊C4—222no—
1311C4⋊C4—222no—
1312C4⋊C4—222no—
1313C4⋊C4—222no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—222no—
1318C4⋊C4—222no—
1319C4⋊C4—222no—
1320C4⋊C4—222no—
1321C4⋊C4—222no—
1322C4⋊C4—222no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—114no—
1340C22⋊C4—114no—
1341C22⋊C4—114no—
1342C22⋊C4—222no—
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—441no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C42—22no—
1370C42—22no—
1371C42—22no—
1372C42—114no—
1373C42—114no—
1374C42—222no—
1375C42—222no—
1376C42—222no—
1377C42—222no—
1378C42—222no—
1379C42—222no—
1380C42—222no—
1381C42—222no—
1382C42—222no—
1383C42—222no—
1384C42—222no—
1385C42—222no—
1386C42—222no—
1387C42—222no—
1388C42—222no—
1389C42—441no—
1390C42—441no—
1391C11#3474111yescharacteristic, complemented, Sylow
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
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—21no—
1415C23—21no—
1416C23—21no—
1417C23—112no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23C2×D4×D1112yes—
1425C23C2×#434112yes—
1426C23C2×#434112yes—
1427C23C24×D1111yescharacteristic
1428Q8—28no—
1429Q8—444no—
1430D4—28no—
1431D4—28no—
1432D4—28no—
1433D4—44no—
1434D4—44no—
1435D4—44no—
1436D4—228no—
1437D4—444no—
1438D4—444no—
1439D4—444no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—28no—
1451C2×C4—28no—
1452C2×C4—28no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
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—44no—
1469C2×C4—112no—
1470C2×C4—112no—
1471C2×C4—112no—
1472C2×C4—112no—
1473C2×C4—112no—
1474C2×C4—112no—
1475C2×C4—112no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
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—444no—
1515C2×C4—444no—
1516C2×C4—444no—
1517C2×C4—444no—
1518C2×C4—444no—
1519C2×C4—444no—
1520C2×C4—444no—
1521C2×C4—444no—
1522C2×C4—444no—
1523C2×C4C2×D4×D1112yes—
1524C2×C4C2×D4×D1112yes—
1525C2×C4C2×#434112yes—
1526C2×C4C2×#434112yes—
1527C2×C4C2×#434112yes—
1528C2×C4C2×#434112yes—
1529C2×C4#41×D1112yes—
1530C2×C4#41×D1112yes—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—222no—
1560C22—222no—
1561C22—222no—
1562C22—441no—
1563C22—441no—
1564C22—441no—
1565C22—441no—
1566C22C22×D4×D1111yescharacteristic
1567C22C22×#434111yescharacteristic
1568C22C22×#434111yescharacteristic
1569C22C2×#41×D1111yescharacteristic
1570C22C2×#41×D1111yescharacteristic
1571C22#1062345311yescharacteristic
1572C22#1062345311yescharacteristic
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—222no—
1584C4—222no—
1585C4—222no—
1586C4—222no—
1587C4—222no—
1588C4—222no—
1589C4—222no—
1590C4—441no—
1591C4—441no—
1592C4—441no—
1593C4—441no—
1594C4—441no—
1595C4—441no—
1596C4—441no—
1597C4—441no—
1598C4#1062311714yes—
1599C2—42no—
1600C2—42no—
1601C2—42no—
1602C2—81no—
1603C2—442no—
1604C2C2×#1062311711yescharacteristic
1605C2#1308191111yescharacteristic
1606C2#1308200411yescharacteristic
1607C2#1308209911yescharacteristic
1608C2#1308210211yescharacteristic
1609C2#1308217611yescharacteristic
1610C2#1308221311yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2388C2
hypercenter#2388D11
hypocenterC11#34741
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2388

Complements

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

NH ≅ G/Ntype
1. C2×#10623088C2semidirect
2. C2×#41×Dic11C2semidirect
3. #13072692C2semidirect
4. #13072677C2semidirect
5. #13072662C2semidirect
6. #13072647C2semidirect
7. #13072632C2semidirect
8. #13072617C2semidirect
9. #13072608C2semidirect
10. #13072593C2semidirect
11. #13072578C2semidirect
12. #13072563C2semidirect
13. #13072548C2semidirect
14. #13072533C2semidirect
15. #13072518C2semidirect
16. #13072509C2semidirect
17. #13072503C2semidirect
18. #13072494C2semidirect
19. #13071890C2semidirect
20. #13071858C2semidirect
21. #13071829C2semidirect
22. C4×#66931C2semidirect
23. C4×#66939C2semidirect
24. C4×#66988C2semidirect
25. C4×#66992C2semidirect
26. #13071112C2semidirect
27. #13071081C2semidirect
28. #13071062C2semidirect
29. #13071061C2semidirect
30. C4×(C22⋊D11)⋊C4C2semidirect
31. C11×#2388C2semidirect
287. #66979D4semidirect
540. (C2×D11)⋊C4#41semidirect
567. Dic11⋊C4#41semidirect
608. #2388D11semidirect
1391. C11#34741semidirect

Maximal subgroups

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

subgroupindex
C2×#106230882
C2×#41×Dic112
#130726922
#130726772
#130726622
#130726472
#130726322
#130726172
#130726082
#130725932
#130725782
#130725632
#130725482
#130725332
#130725182
#130725092
#130725032
#130724942
#130718902
#130718582
#130718292
C4×#669312
C4×#669392
C4×#669882
C4×#669922
#130711122
#130710812
#130710622
#130710612
C4×(C22⋊D11)⋊C42
C11×#23882
#3474111