Finite Group Databasebeta

← #14960637

Subgroups — #14960637

Order 2816.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623200C211yesmaximal, characteristic, complemented
2C2×#10623117C211yesmaximal, characteristic, complemented
3#13076906C211yesmaximal, characteristic, complemented
4#13076901C211yesmaximal, characteristic, complemented
5#13075165C211yesmaximal, characteristic, complemented
6#13075154C211yesmaximal, characteristic, complemented
7#13075109C211yesmaximal, characteristic, complemented
8#13075098C211yesmaximal, characteristic, complemented
9#13075065C211yesmaximal, characteristic, complemented
10#13075028C211yesmaximal, characteristic, complemented
11#13075003C211yesmaximal, characteristic, complemented
12#13074996C211yesmaximal, characteristic, complemented
13#13074925C211yesmaximal, characteristic, complemented
14#13074922C211yesmaximal, characteristic, complemented
15#13074891C211yesmaximal, characteristic, complemented
16#13074891C211yesmaximal, characteristic, complemented
17#13074873C211yesmaximal, characteristic, complemented
18#13074854C211yesmaximal, characteristic, complemented
19#13074820C211yesmaximal, characteristic, complemented
20#13074532C211yesmaximal, characteristic, complemented
21#13074452C211yesmaximal, characteristic, complemented
22#13074287C211yesmaximal, characteristic, complemented
23#13074225C211yesmaximal, characteristic, complemented
24#13074190C211yesmaximal, characteristic, complemented
25#13074175C211yesmaximal, characteristic, complemented
26#13073972C211yesmaximal, characteristic, complemented
27#13073793C211yesmaximal, characteristic, complemented
28#13072247C211yesmaximal, characteristic, complemented
29#13072219C211yesmaximal, characteristic, complemented
30#13071246C211yesmaximal, characteristic, complemented
31C11×#2670C211yesmaximal, characteristic, complemented
32C24×Dic11C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C2×C11×#124C2211yescharacteristic
35C2×C11×#124C2211yescharacteristic
36C2×C11×#120C2211yescharacteristic
37C2×C11×#120C2211yescharacteristic
38C2×#67006C2211yescharacteristic
39C2×#66999C2211yescharacteristic, complemented
40C2×#66997C2211yescharacteristic, complemented
41C2×#66997C2211yescharacteristic, complemented
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic
45C2×#66991C2211yescharacteristic
46C2×#66991C2211yescharacteristic, complemented
47C2×#66988C2211yescharacteristic
48C2×#66988C2211yescharacteristic
49C2×#66988C2211yescharacteristic
50C2×D4×Dic11C2211yescharacteristic
51C2×D4×Dic11C2211yescharacteristic
52#10623200—28no—
53#10623117—28no—
54C2×#66939C2211yescharacteristic
55C2×#66938C2211yescharacteristic
56C2×#66938C2211yescharacteristic, complemented
57C2×#66936C2211yescharacteristic, complemented
58C2×(C22⋊D11)⋊C4C2211yescharacteristic
59C2×(C22⋊D11)⋊C4C2211yescharacteristic
60C2×#66932C2211yescharacteristic
61C2×#66931C2211yescharacteristic
62C2×#66931C2211yescharacteristic
63C2×#66931C2211yescharacteristic
64C2×#66931C2211yescharacteristic
65C2×#66931C2211yescharacteristic
66C2×#66931C2211yescharacteristic, complemented
67C2×#66930C2211yescharacteristic
68C2×#66930C2211yescharacteristic, complemented
69C2×#66929C2211yescharacteristic, complemented
70C2×C4×Dic22C2211yescharacteristic, complemented
71C11×#394C2211yescharacteristic
72C11×#394C2211yescharacteristic
73C11×#393C2211yescharacteristic
74C11×#392C2211yescharacteristic
75C11×#392C2211yescharacteristic
76C11×#392C2211yescharacteristic
77C11×#390C2211yescharacteristic
78C11×#390C2211yescharacteristic
79C11×#388C2211yescharacteristic
80C11×#388C2211yescharacteristic
81C11×#379C2211yescharacteristic
82#10622860C2211yescharacteristic
83#10622860C2211yescharacteristic
84#10622842C2211yescharacteristic, complemented
85#10622836C2211yescharacteristic
86#10622835C2211yescharacteristic
87#10622835C2211yescharacteristic
88#10622835C2211yescharacteristic
89#10622835C2211yescharacteristic
90#10622835C2211yescharacteristic
91#10622835C2211yescharacteristic, complemented
92#10622834C2211yescharacteristic
93#10622834C2211yescharacteristic
94#10622833C2211yescharacteristic
95#10622833C2211yescharacteristic
96#10622833C2211yescharacteristic
97#10622833C2211yescharacteristic
98#10622833C2211yescharacteristic
99#10622833C2211yescharacteristic
100#10622833C2211yescharacteristic, complemented
101#10622833C2211yescharacteristic, complemented
102#10622606C2211yescharacteristic, complemented
103#10622602C2211yescharacteristic, complemented
104#10622598C2211yescharacteristic, complemented
105#10622597C2211yescharacteristic, complemented
106#10622596C2211yescharacteristic, complemented
107#10622594C2211yescharacteristic, complemented
108#10622592C2211yescharacteristic, complemented
109#10622590C2211yescharacteristic, complemented
110#10622574C2211yescharacteristic
111#10622574C2211yescharacteristic, complemented
112#10622572C2211yescharacteristic
113#10622572C2211yescharacteristic
114#10622572C2211yescharacteristic, complemented
115#10622572C2211yescharacteristic, complemented
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622569C2211yescharacteristic
121#10622569C2211yescharacteristic, complemented
122#10622566C2211yescharacteristic
123#10622566C2211yescharacteristic
124#10622565C2211yescharacteristic
125#10622565C2211yescharacteristic
126#10622565C2211yescharacteristic, complemented
127#10622564C2211yescharacteristic
128#10622564C2211yescharacteristic
129#10622564C2211yescharacteristic, complemented
130#10622563C2211yescharacteristic
131#10622563C2211yescharacteristic
132#10622563C2211yescharacteristic
133#10622563C2211yescharacteristic, complemented
134#10622562C2211yescharacteristic
135#10622562C2211yescharacteristic
136#10622562C2211yescharacteristic, complemented
137#10622562C2211yescharacteristic, complemented
138#10622561C2211yescharacteristic
139#10622561C2211yescharacteristic, complemented
140#10622561C2211yescharacteristic, complemented
141#10622561C2211yescharacteristic, complemented
142#10622560C2211yescharacteristic
143#10622560C2211yescharacteristic
144#10622560C2211yescharacteristic, complemented
145#10622560C2211yescharacteristic, complemented
146#10622560C2211yescharacteristic, complemented
147#10622559C2211yescharacteristic
148#10622559C2211yescharacteristic
149#10622559C2211yescharacteristic
150#10622559C2211yescharacteristic
151#10622559C2211yescharacteristic
152#10622559C2211yescharacteristic
153#10622559C2211yescharacteristic
154#10622559C2211yescharacteristic, complemented
155#10622559C2211yescharacteristic, complemented
156#10622559C2211yescharacteristic, complemented
157#10622558C2211yescharacteristic
158#10622558C2211yescharacteristic
159#10622558C2211yescharacteristic, complemented
160#10622558C2211yescharacteristic, complemented
161#10622557C2211yescharacteristic
162#10622556C2211yescharacteristic
163#10622556C2211yescharacteristic
164#10622555C2211yescharacteristic
165#10622555C2211yescharacteristic
166#10622555C2211yescharacteristic
167C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
168#10622546C2211yescharacteristic, complemented
169#10622546C2211yescharacteristic, complemented
170#10622542C2211yescharacteristic, complemented
171#10622541C2211yescharacteristic, complemented
172#10622541C2211yescharacteristic, complemented
173#10622281C2211yescharacteristic, complemented
174#10622280C2211yescharacteristic, complemented
175#10622280C2211yescharacteristic, complemented
176D11×#95C2211yescharacteristic, complemented
177#10622272C2211yescharacteristic, complemented
178#10622272C2211yescharacteristic, complemented
179#10622270C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622269C2211yescharacteristic, complemented
182#10622269C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, complemented
187#10622265C2211yescharacteristic, complemented
188#10622264C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C23×Dic11—24no—
204C23×Dic11—42no—
205C23×Dic11—42no—
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C2×#4341—24no—
215C2×#4341—42no—
216C2×#4341—42no—
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×Dic22C2311yescharacteristic
221C22×Dic22C2311yescharacteristic
222C22×Dic22C2311yescharacteristic
223C11×#124—24no—
224C11×#124—42no—
225C11×#120—24no—
226C11×#120—42no—
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C42×C11C2311yescharacteristic
249#67006—24no—
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
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277#66999—24no—
278#66997—24no—
279#66997—42no—
280#66992—24no—
281#66992—24no—
282#66992—24no—
283#66991—42no—
284#66991—42no—
285#66988—24no—
286#66988—24no—
287#66988—42no—
288D4×Dic11—24no—
289D4×Dic11—24no—
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
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×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×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332#66939—24no—
333#66938—24no—
334#66938—24no—
335#66936—24no—
336(C22⋊D11)⋊C4—24no—
337(C22⋊D11)⋊C4D418yescomplemented
338#66932—24no—
339#66931—24no—
340#66931—24no—
341#66931—24no—
342#66931—24no—
343#66931—42no—
344#66931—42no—
345#66930—24no—
346#66930—24no—
347#66929—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#36712—111nomaximal, Sylow
386C24×C11—22no—
387C24×C11—22no—
388C24×C11—22no—
389C24×C11—41no—
390C24×C11—41no—
391C24×C11—41no—
392C24×C11—41no—
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C24×C11C2411yescharacteristic
397C24×C11C2411yescharacteristic
398C23×D11C2411yescharacteristic
399C2×Q8×C11—22no—
400C2×Q8×C11—41no—
401C2×Q8×C11—41no—
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—22no—
410C2×D4×C11—41no—
411C2×D4×C11—41no—
412C2×D4×C11—41no—
413C2×D4×C11—41no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C2×D4×C11—41no—
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11C2×D414yes—
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×Dic11—41no—
467C22×Dic11—41no—
468C22×Dic11—41no—
469C22×Dic11—41no—
470C22×Dic11—41no—
471C22×Dic11—416no—
472C22×Dic11C2×D414yes—
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488#4341—416no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—41no—
495C2×C4×D11—41no—
496C2×C4×D11—41no—
497C2×C4×D11C2×D414yes—
498C2×Dic22—22no—
499C2×Dic22—22no—
500C2×Dic22—22no—
501C2×Dic22—22no—
502C2×Dic22—41no—
503C2×Dic22—41no—
504C2×Dic22—41no—
505C2×Dic22—41no—
506C2×Dic22—41no—
507C11×C4⋊C4—41no—
508C11×C4⋊C4—41no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—22no—
514C11×C22⋊C4—22no—
515C11×C22⋊C4—22no—
516C11×C22⋊C4—41no—
517C11×C22⋊C4—41no—
518C11×C22⋊C4—41no—
519C11×C22⋊C4—41no—
520C11×C22⋊C4—41no—
521C11×C22⋊C4—41no—
522C11×C22⋊C4—41no—
523C11×C22⋊C4—41no—
524C11×C22⋊C4—41no—
525C11×C22⋊C4—41no—
526C11×C22⋊C4C2×D414yes—
527C42×C11—22no—
528C42×C11—41no—
529C22⋊Dic11—22no—
530C22⋊Dic11—22no—
531C22⋊Dic11—22no—
532C22⋊Dic11—22no—
533C22⋊Dic11—22no—
534C22⋊Dic11—22no—
535C22⋊Dic11—22no—
536C22⋊Dic11—22no—
537C22⋊Dic11—22no—
538C22⋊Dic11—22no—
539C22⋊Dic11—22no—
540C22⋊Dic11—22no—
541C22⋊Dic11—41no—
542C22⋊Dic11—41no—
543C22⋊Dic11—41no—
544C22⋊Dic11—41no—
545C22⋊Dic11—41no—
546C22⋊Dic11—41no—
547C22⋊Dic11—41no—
548C22⋊Dic11—41no—
549C22⋊Dic11—41no—
550C22⋊Dic11—41no—
551C22⋊Dic11—41no—
552C22⋊Dic11—41no—
553C22⋊Dic11—41no—
554C22⋊Dic11—41no—
555C22⋊Dic11—41no—
556(C2×D11)⋊C4—22no—
557(C2×D11)⋊C4—22no—
558(C2×D11)⋊C4—22no—
559(C2×D11)⋊C4—22no—
560(C2×D11)⋊C4—41no—
561(C2×D11)⋊C4—41no—
562(C2×D11)⋊C4C2×D414yes—
563C4⋊Dic11—22no—
564C4⋊Dic11—22no—
565C4⋊Dic11—22no—
566C4⋊Dic11—22no—
567C4⋊Dic11—22no—
568C4⋊Dic11—41no—
569C4⋊Dic11—41no—
570C4⋊Dic11—41no—
571C4⋊Dic11—41no—
572Dic11⋊C4—22no—
573Dic11⋊C4—22no—
574Dic11⋊C4—22no—
575Dic11⋊C4—22no—
576Dic11⋊C4—22no—
577Dic11⋊C4—22no—
578Dic11⋊C4—22no—
579Dic11⋊C4—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—22no—
582Dic11⋊C4—22no—
583Dic11⋊C4—22no—
584Dic11⋊C4—41no—
585Dic11⋊C4—41no—
586Dic11⋊C4—41no—
587Dic11⋊C4—41no—
588Dic11⋊C4—41no—
589Dic11⋊C4—41no—
590Dic11⋊C4—41no—
591Dic11⋊C4—41no—
592Dic11⋊C4C2×D414yes—
593C4×Dic11—22no—
594C4×Dic11—22no—
595C4×Dic11—22no—
596C4×Dic11—41no—
597C4×Dic11C2×D414yes—
598C2×#542—111no—
599C2×#525—111no—
600#2849—111no—
601#2848—111no—
602#2696—111no—
603#2695—111no—
604#2692—111no—
605#2691—111no—
606#2689—111no—
607#2686—111no—
608#2685—111no—
609#2684—111no—
610#2677—111no—
611#2676—111no—
612#2674—111no—
613#2674—111no—
614#2672—111no—
615#2671—111no—
616#2670D1111yescharacteristic, complemented
617#2668—111no—
618#2638—111no—
619#2630—111no—
620#2609—111no—
621#2602—111no—
622#2599—111no—
623#2598—111no—
624#2580—111no—
625#2564—111no—
626#2432—111no—
627#2430—111no—
628#2318—111no—
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×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—44no—
662C23×C11—44no—
663C23×C11—44no—
664C23×C11—44no—
665C23×C11—44no—
666C23×C11—44no—
667C23×C11—44no—
668C23×C11C22×D412yes—
669C23×C11H(5,𝔽2)12yes—
670C23×C112−1+412yes—
671C23×C11C2511yescharacteristic
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11C22×D412yes—
679Q8×C11—82no—
680D4×C11—44no—
681D4×C11—44no—
682D4×C11—44no—
683D4×C11—82no—
684D4×C11—82no—
685D4×C11—82no—
686D4×C11—82no—
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—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11C22×D412yes—
716C2×C4×C11C22×D412yes—
717C22⋊D11—44no—
718C22⋊D11—44no—
719C22⋊D11—44no—
720C22⋊D11—44no—
721C22⋊D11—82no—
722C2×Dic11—28no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—44no—
765C2×Dic11—44no—
766C2×Dic11—44no—
767C2×Dic11—44no—
768C2×Dic11—44no—
769C2×Dic11—44no—
770C2×Dic11—44no—
771C2×Dic11C22×D412yes—
772C2×Dic11C22×D412yes—
773C2×Dic11C22×D412yes—
774C2×Dic11H(5,𝔽2)12yes—
775C4×D11—44no—
776C4×D11—82no—
777C4×D11—82no—
778Dic22—44no—
779Dic22—44no—
780Dic22—82no—
781C22×#41—111no—
782C24×C4—111no—
783#542—228no—
784C2×C4⋊Q8—111no—
785C2×C4⋊Q8—111no—
786C2×#126—111no—
787C2×#126—111no—
788C2×#124—111no—
789C2×#124—111no—
790C2×#124C2×D1111yescharacteristic
791C2×#124C2×D1111yescharacteristic
792#525—228no—
793C2×#123—111no—
794C2×#123—111no—
795C2×#123—111no—
796C2×#123—111no—
797C2×#123—111no—
798C2×C22⋊Q8—111no—
799C2×C22⋊Q8—111no—
800C2×C22⋊Q8—111no—
801C2×C22⋊Q8—111no—
802C2×C22⋊Q8—111no—
803C2×C22⋊Q8—111no—
804C2×C22⋊Q8—111no—
805C2×#121—111no—
806C2×#121—111no—
807C2×#121—111no—
808C2×#121—111no—
809C2×#121—111no—
810C2×#120—111no—
811C2×#120C2×D1111yescharacteristic
812C2×#120C2×D1111yescharacteristic
813C2×C4×Q8—111no—
814C2×C4×D4—111no—
815C2×C4×D4—111no—
816C2×C4×D4—111no—
817C2×C4×D4—111no—
818C2×#117—111no—
819C2×#117—111no—
820#400—111no—
821#400—111no—
822#399—111no—
823#399—111no—
824#399—111no—
825#399—111no—
826#398—111no—
827#398—111no—
828#398—111no—
829#398—111no—
830#397—111no—
831#397—111no—
832#397—111no—
833#397—111no—
834#397—111no—
835#397—111no—
836#396—111no—
837#396—111no—
838#396—111no—
839#396—111no—
840#395—111no—
841#395—111no—
842#395—111no—
843#395—111no—
844#394—111no—
845#394—111no—
846#394—111no—
847#394—111no—
848#394—111no—
849#394—111no—
850#394—111no—
851#394—111no—
852#394—111no—
853#394—111no—
854#394—111no—
855#394—111no—
856#394C2×D1111yescharacteristic
857#394C2×D1111yescharacteristic
858#393—111no—
859#393—111no—
860#393—111no—
861#393—111no—
862#393—111no—
863#393C2×D1111yescharacteristic
864#392—111no—
865#392C2×D1111yescharacteristic
866#392C2×D1111yescharacteristic
867#392C2×D1111yescharacteristic
868#391—111no—
869#390—111no—
870#390—111no—
871#390C2×D1111yescharacteristic
872#390C2×D1111yescharacteristic
873#389—111no—
874#389—111no—
875#389—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388C2×D1111yescharacteristic
885#388C2×D1111yescharacteristic
886#387—111no—
887#387—111no—
888#387—111no—
889#387—111no—
890#387—111no—
891#387—111no—
892#387—111no—
893#387—111no—
894#386—111no—
895#386—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#385—111no—
909#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#385—111no—
915#385—111no—
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#385—111no—
921#385—111no—
922#385—111no—
923#385—111no—
924#383—111no—
925#382—111no—
926#381—111no—
927#381—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#380—111no—
932#380—111no—
933#379—111no—
934#379—111no—
935#379C2×D1111yescharacteristic
936C4×C22⋊C4—111no—
937C2×#95—111no—
938C22×C11—22no—
939C22×C11—22no—
940C22×C11—22no—
941C22×C11—22no—
942C22×C11—22no—
943C22×C11—22no—
944C22×C11—22no—
945C22×C11—22no—
946C22×C11—22no—
947C22×C11—416no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—41no—
954C22×C11—41no—
955C22×C11—41no—
956C22×C11—41no—
957C22×C11—41no—
958C22×C11—41no—
959C22×C11—41no—
960C22×C11—41no—
961C22×C11—41no—
962C22×C11—41no—
963C22×C11—41no—
964C22×C11—41no—
965C22×C11—41no—
966C22×C11—41no—
967C22×C11—41no—
968C22×C11—41no—
969C22×C11—41no—
970C22×C11—41no—
971C22×C11—41no—
972C22×C11—41no—
973C22×C11—41no—
974C22×C11C23×D411yescharacteristic
975C22×C11C2×H(5,𝔽2)11yescharacteristic
976C22×C11C2×H(5,𝔽2)11yescharacteristic
977C22×C11C2×2−1+411yescharacteristic
978C22×C11#58511yescharacteristic
979C22×C11#58511yescharacteristic
980C22×C11#58511yescharacteristic
981C2×D11—22no—
982C2×D11—22no—
983C2×D11—22no—
984C2×D11—41no—
985C2×D11—41no—
986C2×D11—41no—
987C2×D11—41no—
988C4×C11—22no—
989C4×C11—22no—
990C4×C11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996C4×C11—41no—
997C4×C11—41no—
998Dic11—22no—
999Dic11—22no—
1000Dic11—22no—
1001Dic11—22no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009Dic11—41no—
1010Dic11—41no—
1011Dic11—41no—
1012Dic11—41no—
1013C25C22×D1111yescharacteristic
1014C2×#41—224no—
1015C2×#41—442no—
1016C2×#41—442no—
1017C22×Q8—111no—
1018C22×Q8—111no—
1019C22×Q8—111no—
1020C22×Q8C22×D1111yescharacteristic
1021C22×D4—111no—
1022C22×D4—111no—
1023C22×D4—111no—
1024C22×D4—111no—
1025C22×D4—111no—
1026C22×D4C22×D1111yescharacteristic
1027C22×D4C22×D1111yescharacteristic
1028C22×D4C22×D1111yescharacteristic
1029C22×D4C22×D1111yescharacteristic
1030C22×D4C22×D1111yescharacteristic
1031C22×D4C22×D1111yescharacteristic
1032C22×D4C22×D1111yescharacteristic
1033C23×C4—111no—
1034C23×C4—111no—
1035C23×C4—111no—
1036C23×C4—111no—
1037C23×C4—111no—
1038C23×C4—111no—
1039C23×C4—111no—
1040C23×C4—111no—
1041C23×C4—111no—
1042C23×C4—111no—
1043C23×C4—111no—
1044C23×C4—224no—
1045C23×C4—442no—
1046C23×C4—442no—
1047C4⋊Q8—224no—
1048C4⋊Q8—442no—
1049#126—224no—
1050#126—224no—
1051#124—24no—
1052#124—42no—
1053#124—224no—
1054#124—224no—
1055#123—224no—
1056#123—224no—
1057#123—224no—
1058#123—224no—
1059#123—442no—
1060C22⋊Q8—224no—
1061C22⋊Q8—224no—
1062C22⋊Q8—224no—
1063C22⋊Q8—224no—
1064C22⋊Q8—224no—
1065C22⋊Q8—442no—
1066C22⋊Q8—442no—
1067#121—224no—
1068#121—224no—
1069#121—224no—
1070#121—442no—
1071#121—442no—
1072#120—24no—
1073#120—42no—
1074#120—224no—
1075C4×Q8—224no—
1076C4×D4—118no—
1077C4×D4—224no—
1078C4×D4—224no—
1079C4×D4—224no—
1080#117—224no—
1081#117—224no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—111no—
1088C2×C4⋊C4—111no—
1089C2×C4⋊C4—111no—
1090C2×C4⋊C4—111no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—111no—
1096C2×C4⋊C4—111no—
1097C2×C4⋊C4—111no—
1098C2×C4⋊C4—111no—
1099C2×C4⋊C4—111no—
1100C2×C4⋊C4—111no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4—111no—
1111C2×C4⋊C4—111no—
1112C2×C4⋊C4C22×D1111yescharacteristic
1113C2×C4⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4C22×D1111yescharacteristic
1149C2×C22⋊C4C22×D1111yescharacteristic
1150C2×C22⋊C4C22×D1111yescharacteristic
1151C2×C22⋊C4C22×D1111yescharacteristic
1152C2×C22⋊C4C22×D1111yescharacteristic
1153C2×C22⋊C4C22×D1111yescharacteristic
1154C2×C22⋊C4C22×D1111yescharacteristic
1155C2×C22⋊C4C22×D1111yescharacteristic
1156C2×C22⋊C4C22×D1111yescharacteristic
1157C2×C22⋊C4C22×D1111yescharacteristic
1158C2×C22⋊C4C22×D1111yescharacteristic
1159C2×C22⋊C4C22×D1111yescharacteristic
1160C2×C22⋊C4C22×D1111yescharacteristic
1161C2×C22⋊C4C22×D1111yescharacteristic
1162C2×C22⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C42—111no—
1167C2×C42—111no—
1168C2×C42—111no—
1169C2×C42—111no—
1170C2×C42—111no—
1171C2×C42C22×D1111yescharacteristic
1172C2×C42C22×D1111yescharacteristic
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95C22×D1111yescharacteristic
1206#95C22×D1111yescharacteristic
1207#95C22×D1111yescharacteristic
1208#95C22×D1111yescharacteristic
1209C2×C11—42no—
1210C2×C11—42no—
1211C2×C11—42no—
1212C2×C11—81no—
1213C2×C11—81no—
1214C2×C11#344911yescharacteristic
1215C2×C11#348411yescharacteristic
1216C2×C11#348911yescharacteristic
1217C2×C11#353311yescharacteristic
1218C2×C11#353511yescharacteristic
1219C2×C11#354011yescharacteristic
1220C2×C11#354111yescharacteristic
1221D11—42no—
1222C24—22no—
1223C24—22no—
1224C24—22no—
1225C24—41no—
1226C24—41no—
1227C24—41no—
1228C24—41no—
1229C24—111no—
1230C24C23×D1111yescharacteristic
1231C24C23×D1111yescharacteristic
1232C24C23×D1111yescharacteristic
1233C24C23×D1111yescharacteristic
1234C24C23×D1111yescharacteristic
1235#41—4416no—
1236C2×Q8—22no—
1237C2×Q8—41no—
1238C2×Q8—41no—
1239C2×Q8—222no—
1240C2×Q8—222no—
1241C2×Q8—222no—
1242C2×Q8—222no—
1243C2×Q8—441no—
1244C2×Q8—441no—
1245C2×Q8—441no—
1246C2×Q8—441no—
1247C2×Q8—441no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—114no—
1270C2×D4—222no—
1271C2×D4—222no—
1272C2×D4—222no—
1273C2×D4—222no—
1274C2×D4—222no—
1275C2×D4—222no—
1276C2×D4—222no—
1277C2×D4—441no—
1278C2×D4—441no—
1279C2×D4—441no—
1280C2×D4—441no—
1281C2×D4—441no—
1282C2×D4—441no—
1283C2×D4—441no—
1284C22×C4—111no—
1285C22×C4—111no—
1286C22×C4—111no—
1287C22×C4—111no—
1288C22×C4—114no—
1289C22×C4—114no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—111no—
1293C22×C4—111no—
1294C22×C4—111no—
1295C22×C4—111no—
1296C22×C4—111no—
1297C22×C4—111no—
1298C22×C4—111no—
1299C22×C4—111no—
1300C22×C4—111no—
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—222no—
1310C22×C4—222no—
1311C22×C4—222no—
1312C22×C4—222no—
1313C22×C4—441no—
1314C22×C4—441no—
1315C22×C4—441no—
1316C22×C4—441no—
1317C22×C4—441no—
1318C22×C4—441no—
1319C22×C4—441no—
1320C22×C4—441no—
1321C22×C4—441no—
1322C22×C4—441no—
1323C22×C4—441no—
1324C22×C4—441no—
1325C22×C4—441no—
1326C22×C4—441no—
1327C22×C4—441no—
1328C22×C4—441no—
1329C22×C4—441no—
1330C22×C4—441no—
1331C22×C4—441no—
1332C22×C4—4416no—
1333C22×C4C23×D1111yescharacteristic
1334C22×C4C23×D1111yescharacteristic
1335C22×C4C23×D1111yescharacteristic
1336C22×C4C23×D1111yescharacteristic
1337C22×C4C23×D1111yescharacteristic
1338C22×C4C23×D1111yescharacteristic
1339C22×C4C23×D1111yescharacteristic
1340C22×C4C23×D1111yescharacteristic
1341C22×C4C23×D1111yescharacteristic
1342C22×C4C23×D1111yescharacteristic
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—114no—
1346C4⋊C4—222no—
1347C4⋊C4—222no—
1348C4⋊C4—222no—
1349C4⋊C4—222no—
1350C4⋊C4—222no—
1351C4⋊C4—222no—
1352C4⋊C4—222no—
1353C4⋊C4—222no—
1354C4⋊C4—222no—
1355C4⋊C4—222no—
1356C4⋊C4—222no—
1357C4⋊C4—222no—
1358C4⋊C4—222no—
1359C4⋊C4—222no—
1360C4⋊C4—222no—
1361C4⋊C4—222no—
1362C4⋊C4—222no—
1363C4⋊C4—441no—
1364C4⋊C4—441no—
1365C4⋊C4—441no—
1366C4⋊C4—441no—
1367C4⋊C4—441no—
1368C4⋊C4—441no—
1369C4⋊C4—441no—
1370C4⋊C4—441no—
1371C4⋊C4—441no—
1372C4⋊C4—441no—
1373C4⋊C4—441no—
1374C4⋊C4—441no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—114no—
1393C22⋊C4—222no—
1394C22⋊C4—222no—
1395C22⋊C4—222no—
1396C22⋊C4—222no—
1397C22⋊C4—222no—
1398C22⋊C4—222no—
1399C22⋊C4—222no—
1400C22⋊C4—222no—
1401C22⋊C4—222no—
1402C22⋊C4—222no—
1403C22⋊C4—222no—
1404C22⋊C4—222no—
1405C22⋊C4—222no—
1406C22⋊C4—222no—
1407C22⋊C4—222no—
1408C22⋊C4—222no—
1409C22⋊C4—441no—
1410C22⋊C4—441no—
1411C22⋊C4—441no—
1412C22⋊C4—441no—
1413C22⋊C4—441no—
1414C22⋊C4—441no—
1415C22⋊C4—441no—
1416C22⋊C4—441no—
1417C22⋊C4—441no—
1418C22⋊C4—441no—
1419C22⋊C4—441no—
1420C22⋊C4—441no—
1421C22⋊C4—441no—
1422C22⋊C4—441no—
1423C22⋊C4—441no—
1424C22⋊C4—441no—
1425C22⋊C4—441no—
1426C22⋊C4D4×D1114yes—
1427C42—22no—
1428C42—41no—
1429C42—114no—
1430C42—222no—
1431C42—222no—
1432C42—222no—
1433C42—441no—
1434C11#3671211yescharacteristic, complemented, Sylow
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—44no—
1474C23—112no—
1475C23—221no—
1476C23—221no—
1477C23—221no—
1478C23—221no—
1479C23—221no—
1480C23—221no—
1481C23C2×D4×D1112yes—
1482C23#6703712yes—
1483C23#6704312yes—
1484C23C24×D1111yescharacteristic
1485Q8—82no—
1486Q8—444no—
1487Q8—444no—
1488Q8—882no—
1489D4—44no—
1490D4—44no—
1491D4—44no—
1492D4—82no—
1493D4—82no—
1494D4—82no—
1495D4—82no—
1496D4—444no—
1497D4—444no—
1498D4—444no—
1499D4—444no—
1500D4—882no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—112no—
1530C2×C4—112no—
1531C2×C4—112no—
1532C2×C4—112no—
1533C2×C4—228no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—444no—
1576C2×C4—444no—
1577C2×C4—444no—
1578C2×C4—444no—
1579C2×C4—444no—
1580C2×C4—444no—
1581C2×C4—444no—
1582C2×C4—444no—
1583C2×C4—882no—
1584C2×C4—882no—
1585C2×C4C2×D4×D1112yes—
1586C2×C4C2×D4×D1112yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—416no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—222no—
1624C22—222no—
1625C22—222no—
1626C22—441no—
1627C22—441no—
1628C22—441no—
1629C22—441no—
1630C22C22×D4×D1111yescharacteristic
1631C22C2×#6703711yescharacteristic
1632C22C2×#6704311yescharacteristic
1633C22D11×H(5,𝔽2)11yescharacteristic
1634C22#1062345511yescharacteristic
1635C22#1062345511yescharacteristic
1636C22#1062345511yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—222no—
1648C4—222no—
1649C4—222no—
1650C4—222no—
1651C4—441no—
1652C4—441no—
1653C4—441no—
1654C4—441no—
1655C4—441no—
1656C4—441no—
1657C4—441no—
1658C4—441no—
1659C4—441no—
1660C4—441no—
1661C4—441no—
1662C2—42no—
1663C2—42no—
1664C2—42no—
1665C2—81no—
1666C2—81no—
1667C2—442no—
1668C2#1308194711yescharacteristic
1669C2#1308224411yescharacteristic
1670C2#1308228711yescharacteristic
1671C2#1308278911yescharacteristic
1672C2#1308281311yescharacteristic
1673C2#1308288911yescharacteristic
1674C2#1308289611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2670C2
hypercenter#2670D11
hypocenterC11#36712
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2670

Complements

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

NH ≅ G/Ntype
1. C2×#10623200C2semidirect
2. C2×#10623117C2semidirect
3. #13076906C2semidirect
4. #13076901C2semidirect
5. #13075165C2semidirect
6. #13075154C2semidirect
7. #13075109C2semidirect
8. #13075098C2semidirect
9. #13075065C2semidirect
10. #13075028C2semidirect
11. #13075003C2semidirect
12. #13074996C2semidirect
13. #13074925C2semidirect
14. #13074922C2semidirect
15. #13074891C2semidirect
16. #13074891C2semidirect
17. #13074873C2semidirect
18. #13074854C2semidirect
19. #13074820C2semidirect
20. #13074532C2semidirect
21. #13074452C2semidirect
22. #13074287C2semidirect
23. #13074225C2semidirect
24. #13074190C2semidirect
25. #13074175C2semidirect
26. #13073972C2semidirect
27. #13073793C2semidirect
28. #13072247C2semidirect
29. #13072219C2semidirect
30. #13071246C2semidirect
31. C11×#2670C2semidirect
39. C2×#66999C22semidirect
40. C2×#66997C22semidirect
41. C2×#66997C22semidirect
46. C2×#66991C22semidirect
56. C2×#66938C22semidirect
57. C2×#66936C22semidirect
66. C2×#66931C22semidirect
68. C2×#66930C22semidirect
69. C2×#66929C22semidirect
70. C2×C4×Dic22C22semidirect
84. #10622842C22semidirect
91. #10622835C22semidirect
100. #10622833C22semidirect
101. #10622833C22semidirect
102. #10622606C22semidirect
103. #10622602C22semidirect
104. #10622598C22semidirect
105. #10622597C22semidirect
106. #10622596C22semidirect
107. #10622594C22semidirect
108. #10622592C22semidirect
109. #10622590C22semidirect
111. #10622574C22semidirect
114. #10622572C22semidirect
115. #10622572C22semidirect
121. #10622569C22semidirect
126. #10622565C22semidirect
129. #10622564C22semidirect
133. #10622563C22semidirect
136. #10622562C22semidirect
137. #10622562C22semidirect
139. #10622561C22semidirect
140. #10622561C22semidirect
141. #10622561C22semidirect
144. #10622560C22semidirect
145. #10622560C22semidirect
146. #10622560C22semidirect
154. #10622559C22semidirect
155. #10622559C22semidirect
156. #10622559C22semidirect
159. #10622558C22semidirect
160. #10622558C22semidirect
167. C4×(C2×D11)⋊C4C22semidirect
168. #10622546C22semidirect
169. #10622546C22semidirect
170. #10622542C22semidirect
171. #10622541C22semidirect
172. #10622541C22semidirect
173. #10622281C22semidirect
174. #10622280C22semidirect
175. #10622280C22semidirect
176. D11×#95C22semidirect
177. #10622272C22semidirect
178. #10622272C22semidirect
179. #10622270C22semidirect
180. #10622270C22semidirect
181. #10622269C22semidirect
182. #10622269C22semidirect
183. #10622266C22semidirect
184. #10622265C22semidirect
185. #10622265C22semidirect
186. #10622265C22semidirect
187. #10622265C22semidirect
188. #10622264C22semidirect
337. (C22⋊D11)⋊C4D4semidirect
616. #2670D11semidirect
1434. C11#36712semidirect

Maximal subgroups

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

subgroupindex
C2×#106232002
C2×#106231172
#130769062
#130769012
#130751652
#130751542
#130751092
#130750982
#130750652
#130750282
#130750032
#130749962
#130749252
#130749222
#130748912
#130748732
#130748542
#130748202
#130745322
#130744522
#130742872
#130742252
#130741902
#130741752
#130739722
#130737932
#130722472
#130722192
#130712462
C11×#26702
#3671211