Finite Group Databasebeta

← #14961211

Subgroups — #14961211

Order 2816.

2494 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623196C211yesmaximal, characteristic, complemented
2C2×#10623364C211yesmaximal, characteristic, complemented
3#13076959C211yesmaximal, characteristic, complemented
4#13076913C211yesmaximal, characteristic, complemented
5#13075540C211yesmaximal, characteristic, complemented
6#13075538C211yesmaximal, characteristic, complemented
7#13075501C211yesmaximal, characteristic, complemented
8#13075499C211yesmaximal, characteristic, complemented
9#13075417C211yesmaximal, characteristic, complemented
10#13075415C211yesmaximal, characteristic, complemented
11#13075378C211yesmaximal, characteristic, complemented
12#13075376C211yesmaximal, characteristic, complemented
13#13075171C211yesmaximal, characteristic, complemented
14#13075169C211yesmaximal, characteristic, complemented
15#13075117C211yesmaximal, characteristic, complemented
16#13075115C211yesmaximal, characteristic, complemented
17#13074922C211yesmaximal, characteristic, complemented
18#13074920C211yesmaximal, characteristic, complemented
19#13074887C211yesmaximal, characteristic, complemented
20#13074880C211yesmaximal, characteristic, complemented
21#13074720C211yesmaximal, characteristic, complemented
22#13074546C211yesmaximal, characteristic, complemented
23#13073580C211yesmaximal, characteristic, complemented
24#13073574C211yesmaximal, characteristic, complemented
25#13072228C211yesmaximal, characteristic, complemented
26#13072226C211yesmaximal, characteristic, complemented
27#13072220C211yesmaximal, characteristic, complemented
28#13072055C211yesmaximal, characteristic, complemented
29#13072053C211yesmaximal, characteristic, complemented
30C2×#10622266C211yesmaximal, characteristic, complemented
31C11×#2430C211yesmaximal, characteristic, complemented
32C22×C11×#41C2211yescharacteristic
33C22×#4339C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic
36C2×C11×#121C2211yescharacteristic
37#10623364—28no—
38C2×#66999C2211yescharacteristic
39C2×#66999C2211yescharacteristic
40C2×#66993C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic
45C2×#66992C2211yescharacteristic
46C2×#66992C2211yescharacteristic
47C2×#66992C2211yescharacteristic
48C2×#66992C2211yescharacteristic
49C2×#66992C2211yescharacteristic
50C2×#66992C2211yescharacteristic
51C2×#66991C2211yescharacteristic
52C2×#66991C2211yescharacteristic
53C2×D4×Dic11C2211yescharacteristic
54C2×#66983C2211yescharacteristic
55C2×#66983C2211yescharacteristic
56C2×#66983C2211yescharacteristic
57C2×#66983C2211yescharacteristic
58C2×#66982C2211yescharacteristic
59C22×C4⋊Dic11C2211yescharacteristic
60C2×#66977C2211yescharacteristic
61C2×#66977C2211yescharacteristic
62C22×Dic11⋊C4C2211yescharacteristic
63C22×C4×Dic11C2211yescharacteristic
64#10623196—28no—
65C2×#66951C2211yescharacteristic
66C2×#66950C2211yescharacteristic
67C2×#66943C2211yescharacteristic
68C2×#66942C2211yescharacteristic
69C2×#66939C2211yescharacteristic
70C2×#66938C2211yescharacteristic
71C2×#66937C2211yescharacteristic
72C2×#66936C2211yescharacteristic
73C2×(C22⋊D11)⋊C4C2211yescharacteristic
74C2×#66932C2211yescharacteristic
75C2×#66931C2211yescharacteristic
76C2×#66931C2211yescharacteristic
77C11×#395C2211yescharacteristic
78C11×#394C2211yescharacteristic
79C11×#393C2211yescharacteristic
80C11×#392C2211yescharacteristic
81C11×#386C2211yescharacteristic
82C11×#386C2211yescharacteristic
83C11×#386C2211yescharacteristic
84C11×#386C2211yescharacteristic
85C11×#385C2211yescharacteristic
86C11×#385C2211yescharacteristic
87C2×C11×#95C2211yescharacteristic
88#10622844C2211yescharacteristic
89#10622842C2211yescharacteristic
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622836C2211yescharacteristic
93#10622836C2211yescharacteristic
94#10622835C2211yescharacteristic
95#10622835C2211yescharacteristic
96#10622834C2211yescharacteristic
97#10622833C2211yescharacteristic
98#10622833C2211yescharacteristic
99#10622833C2211yescharacteristic
100#10622826C2211yescharacteristic
101#10622826C2211yescharacteristic
102#10622826C2211yescharacteristic
103#10622826C2211yescharacteristic
104#10622823C2211yescharacteristic
105#10622823C2211yescharacteristic
106C2×C11⋊#95C2211yescharacteristic
107C2×C11⋊#95C2211yescharacteristic
108C2×C11⋊#95C2211yescharacteristic
109#10622607C2211yescharacteristic
110#10622605C2211yescharacteristic
111#10622605C2211yescharacteristic
112#10622604C2211yescharacteristic
113#10622603C2211yescharacteristic
114#10622602C2211yescharacteristic
115#10622602C2211yescharacteristic
116#10622601C2211yescharacteristic
117#10622597C2211yescharacteristic
118#10622592C2211yescharacteristic
119#10622589C2211yescharacteristic
120#10622585C2211yescharacteristic
121#10622574C2211yescharacteristic
122#10622574C2211yescharacteristic
123#10622573C2211yescharacteristic
124#10622573C2211yescharacteristic
125#10622573C2211yescharacteristic
126#10622573C2211yescharacteristic
127#10622572C2211yescharacteristic
128#10622572C2211yescharacteristic
129#10622572C2211yescharacteristic
130#10622572C2211yescharacteristic
131#10622571C2211yescharacteristic
132#10622571C2211yescharacteristic
133#10622571C2211yescharacteristic
134#10622570C2211yescharacteristic
135#10622570C2211yescharacteristic
136#10622570C2211yescharacteristic
137#10622570C2211yescharacteristic
138#10622570C2211yescharacteristic
139#10622570C2211yescharacteristic
140#10622570C2211yescharacteristic
141#10622569C2211yescharacteristic
142#10622569C2211yescharacteristic
143#10622569C2211yescharacteristic
144#10622565C2211yescharacteristic
145#10622565C2211yescharacteristic
146#10622564C2211yescharacteristic
147#10622564C2211yescharacteristic
148#10622562C2211yescharacteristic
149#10622562C2211yescharacteristic
150#10622561C2211yescharacteristic
151#10622561C2211yescharacteristic
152#10622560C2211yescharacteristic
153#10622560C2211yescharacteristic
154#10622558C2211yescharacteristic
155#10622557C2211yescharacteristic
156#10622555C2211yescharacteristic
157#10622289C2211yescharacteristic
158#10622288C2211yescharacteristic
159#10622288C2211yescharacteristic
160#10622286C2211yescharacteristic
161#10622286C2211yescharacteristic
162#10622285C2211yescharacteristic
163#10622285C2211yescharacteristic
164#10622284C2211yescharacteristic
165#10622283C2211yescharacteristic
166#10622282C2211yescharacteristic
167#10622282C2211yescharacteristic
168#10622281C2211yescharacteristic
169#10622281C2211yescharacteristic
170#10622280C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622273C2211yescharacteristic
175#10622271C2211yescharacteristic
176#10622270C2211yescharacteristic
177#10622269C2211yescharacteristic
178#10622266C2211yescharacteristic
179#10622266C2211yescharacteristic
180#10622266C2211yescharacteristic
181#10622266C2211yescharacteristic
182#10622266C2211yescharacteristic
183#10622266C2211yescharacteristic
184#10622266C2211yescharacteristic
185#10622266C2211yescharacteristic
186#10622263C2211yescharacteristic
187#10622260C2211yescharacteristic
188#10622259C2211yescharacteristic
189C2×C11×#41—24no—
190C2×C11×#41—42no—
191C2×C11×#41—42no—
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
203C23×C4×C11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C22×C22⋊D11C2311yescharacteristic
215C22×C22⋊D11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C2×#4339—24no—
222C2×#4339—42no—
223C2×#4339—42no—
224C22×D44C2311yescharacteristic
225C22×D44C2311yescharacteristic
226C22×D44C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×Dic22C2311yescharacteristic
231C22×Dic22C2311yescharacteristic
232C11×#123—24no—
233C11×#121—42no—
234C11×#121—42no—
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
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
265#66999—24no—
266#66999—24no—
267#66993—42no—
268#66992—24no—
269#66992—24no—
270#66992—24no—
271#66992—24no—
272#66992—24no—
273#66992—42no—
274#66992—42no—
275#66992—42no—
276#66992—42no—
277#66992—42no—
278#66991—24no—
279#66991—24no—
280D4×Dic11—24no—
281#66983—24no—
282#66983—24no—
283#66983—42no—
284#66983—42no—
285#66982—24no—
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
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×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×C4⋊Dic11D418yescomplemented
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×C4⋊Dic11C2311yescharacteristic
316C2×C4⋊Dic11C2311yescharacteristic
317C2×C4⋊Dic11C2311yescharacteristic
318C2×C4⋊Dic11C2311yescharacteristic
319#66977—24no—
320#66977—24no—
321C2×Dic11⋊C4—42no—
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×Dic11⋊C4C2311yescharacteristic
332C2×Dic11⋊C4C2311yescharacteristic
333C2×Dic11⋊C4C2311yescharacteristic
334C2×Dic11⋊C4C2311yescharacteristic
335C2×Dic11⋊C4C2311yescharacteristic
336C2×Dic11⋊C4C2311yescharacteristic
337C2×Dic11⋊C4C2311yescharacteristic
338C2×Dic11⋊C4C2311yescharacteristic
339C2×Dic11⋊C4C2311yescharacteristic
340C2×C4×Dic11—42no—
341C2×C4×Dic11C2311yescharacteristic
342C2×C4×Dic11C2311yescharacteristic
343C2×C4×Dic11C2311yescharacteristic
344C2×C4×Dic11C2311yescharacteristic
345C2×C4×Dic11C2311yescharacteristic
346C2×C4×Dic11C2311yescharacteristic
347#66951—24no—
348#66950—24no—
349#66943—24no—
350#66942—24no—
351#66939—24no—
352#66938—42no—
353#66937—42no—
354#66936—24no—
355(C22⋊D11)⋊C4—24no—
356#66932—24no—
357#66931—24no—
358#66931—24no—
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
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#36741—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C23×D11C2411yescharacteristic
399C11×#41—416no—
400C2×Q8×C11—22no—
401C2×Q8×C11—41no—
402C2×Q8×C11—41no—
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—22no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
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—
421C22×C4×C11—22no—
422C22×C4×C11—22no—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—41no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11—41no—
432C22×C4×C11—41no—
433C22×C4×C11—41no—
434C22×C4×C11—41no—
435C22×C4×C11C2×D414yes—
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—22no—
458C2×C22⋊D11—22no—
459C2×C22⋊D11—22no—
460C2×C22⋊D11—22no—
461C2×C22⋊D11—22no—
462C2×C22⋊D11—22no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C2×C22⋊D11—41no—
475C2×C22⋊D11—41no—
476C2×C22⋊D11—41no—
477C2×C22⋊D11—41no—
478C2×C22⋊D11—41no—
479C2×C22⋊D11—41no—
480C2×C22⋊D11—41no—
481C2×C22⋊D11—41no—
482C2×C22⋊D11—41no—
483C22×Dic11—22no—
484C22×Dic11—22no—
485C22×Dic11—22no—
486C22×Dic11—22no—
487C22×Dic11—41no—
488C22×Dic11—41no—
489C22×Dic11—41no—
490C22×Dic11—41no—
491C22×Dic11—41no—
492C22×Dic11—41no—
493C22×Dic11—41no—
494C22×Dic11—41no—
495C22×Dic11—41no—
496C22×Dic11C2×D414yes—
497C22×Dic11C2×D414yes—
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2411yescharacteristic
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2411yescharacteristic
502C22×Dic11C2411yescharacteristic
503C22×Dic11C2411yescharacteristic
504C22×Dic11C2411yescharacteristic
505C22×Dic11C2411yescharacteristic
506C22×Dic11C2411yescharacteristic
507C22×Dic11C2411yescharacteristic
508C22×Dic11C2411yescharacteristic
509C22×Dic11C2411yescharacteristic
510C22×Dic11C2411yescharacteristic
511#4339—416no—
512C2×D44—22no—
513C2×D44—22no—
514C2×D44—41no—
515C2×D44—41no—
516C2×D44—41no—
517C2×D44—41no—
518C2×D44—41no—
519C2×D44—41no—
520C2×D44—41no—
521C2×C4×D11—22no—
522C2×C4×D11—22no—
523C2×C4×D11—22no—
524C2×C4×D11—41no—
525C2×C4×D11—41no—
526C2×C4×D11—41no—
527C2×C4×D11—41no—
528C2×C4×D11—41no—
529C2×C4×D11—41no—
530C2×Dic22—22no—
531C2×Dic22—22no—
532C2×Dic22—41no—
533C2×Dic22—41no—
534C2×Dic22—41no—
535C2×Dic22—41no—
536C11×C4⋊C4—22no—
537C11×C4⋊C4—22no—
538C11×C4⋊C4—41no—
539C11×C4⋊C4—41no—
540C11×C22⋊C4—22no—
541C11×C22⋊C4—22no—
542C11×C22⋊C4—22no—
543C11×C22⋊C4—22no—
544C11×C22⋊C4—41no—
545C11×C22⋊C4—41no—
546C11×C22⋊C4—41no—
547C11×C22⋊C4—41no—
548C11×C22⋊C4—41no—
549C11×C22⋊C4—41no—
550C11×C22⋊C4—41no—
551C22⋊Dic11—22no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
554C22⋊Dic11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—22no—
559C22⋊Dic11—41no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562C22⋊Dic11—41no—
563C22⋊Dic11—41no—
564C22⋊Dic11—41no—
565C22⋊Dic11—41no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—41no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4—41no—
580(C2×D11)⋊C4—41no—
581(C2×D11)⋊C4—41no—
582(C2×D11)⋊C4—41no—
583(C2×D11)⋊C4—41no—
584(C2×D11)⋊C4—41no—
585(C2×D11)⋊C4—41no—
586(C2×D11)⋊C4—41no—
587(C2×D11)⋊C4—41no—
588(C2×D11)⋊C4—41no—
589(C2×D11)⋊C4—41no—
590C4⋊Dic11—22no—
591C4⋊Dic11—22no—
592C4⋊Dic11—41no—
593C4⋊Dic11—41no—
594C4⋊Dic11C2×D414yes—
595C4⋊Dic11C2×D414yes—
596C4⋊Dic11C2×D414yes—
597C4⋊Dic11C2×D414yes—
598Dic11⋊C4—22no—
599Dic11⋊C4—22no—
600Dic11⋊C4—22no—
601Dic11⋊C4—22no—
602Dic11⋊C4—22no—
603Dic11⋊C4—22no—
604Dic11⋊C4—22no—
605Dic11⋊C4—22no—
606Dic11⋊C4—22no—
607Dic11⋊C4—22no—
608Dic11⋊C4—22no—
609Dic11⋊C4—22no—
610Dic11⋊C4—41no—
611Dic11⋊C4—41no—
612Dic11⋊C4—41no—
613Dic11⋊C4—41no—
614Dic11⋊C4—41no—
615Dic11⋊C4—41no—
616C4×Dic11—22no—
617C4×Dic11—22no—
618C4×Dic11—22no—
619C4×Dic11—22no—
620C4×Dic11—41no—
621C4×Dic11—41no—
622C2×#539—111no—
623C2×#537—111no—
624#2856—111no—
625#2850—111no—
626#2723—111no—
627#2723—111no—
628#2720—111no—
629#2720—111no—
630#2714—111no—
631#2714—111no—
632#2711—111no—
633#2711—111no—
634#2696—111no—
635#2696—111no—
636#2692—111no—
637#2692—111no—
638#2676—111no—
639#2676—111no—
640#2673—111no—
641#2673—111no—
642#2656—111no—
643#2639—111no—
644#2543—111no—
645#2543—111no—
646#2430—111no—
647#2430—111no—
648#2430—111no—
649#2430D1111yescharacteristic, complemented
650#2416—111no—
651#2416—111no—
652C2×#387—111no—
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—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11—21no—
675C23×C11—21no—
676C23×C11—21no—
677C23×C11—21no—
678C23×C11C22×D412yes—
679C23×C11H(5,𝔽2)12yes—
680C23×C11H(5,𝔽2)12yes—
681C23×C11C2511yescharacteristic
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—21no—
703Q8×C11—44no—
704D4×C11—44no—
705D4×C11—44no—
706D4×C11—44no—
707D4×C11—44no—
708D4×C11—82no—
709D4×C11—82no—
710C2×C4×C11—28no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—44no—
742C2×C4×C11—44no—
743C2×C4×C11—44no—
744C2×C4×C11—82no—
745C2×C4×C11C22×D412yes—
746C2×C4×C11C22×D412yes—
747C2×C4×C11H(5,𝔽2)12yes—
748C22⋊D11—44no—
749C22⋊D11—44no—
750C22⋊D11—44no—
751C22⋊D11—82no—
752C22⋊D11—82no—
753C22⋊D11—82no—
754C22⋊D11—82no—
755C22⋊D11—82no—
756C22⋊D11—82no—
757C22⋊D11—82no—
758C22⋊D11—82no—
759C22⋊D11—82no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—44no—
795C2×Dic11—44no—
796C2×Dic11—44no—
797C2×Dic11—82no—
798C2×Dic11—82no—
799C2×Dic11C22×D412yes—
800C2×Dic11C22×D412yes—
801C2×Dic11C22×D412yes—
802C2×Dic11C22×D412yes—
803C2×Dic112−1+412yes—
804D44—44no—
805D44—82no—
806D44—82no—
807C4×D11—44no—
808C4×D11—44no—
809C4×D11—82no—
810Dic22—44no—
811Dic22—82no—
812C22×#41—111no—
813C22×#41C2×D1111yescharacteristic
814#539—228no—
815#537—228no—
816C2×#127—111no—
817C2×#126—111no—
818C2×#126—111no—
819C2×#125—111no—
820C2×#125—111no—
821C2×#124—111no—
822C2×#123—111no—
823C2×#123—111no—
824C2×#123—111no—
825C2×#123C2×D1111yescharacteristic
826C2×C22⋊Q8—111no—
827C2×C22⋊Q8—111no—
828C2×C22⋊Q8—111no—
829C2×C22⋊Q8—111no—
830C2×C22⋊Q8—111no—
831C2×C22⋊Q8—111no—
832C2×C22⋊Q8—111no—
833C2×#121—111no—
834C2×#121—111no—
835C2×#121—111no—
836C2×#121—111no—
837C2×#121—111no—
838C2×#121—111no—
839C2×#121—111no—
840C2×#121—111no—
841C2×#121—111no—
842C2×#121—111no—
843C2×#121—111no—
844C2×#121—111no—
845C2×#121—111no—
846C2×#121—111no—
847C2×#121—111no—
848C2×#121—111no—
849C2×#121—111no—
850C2×#121C2×D1111yescharacteristic
851C2×#121C2×D1111yescharacteristic
852C2×C4×D4—111no—
853C2×C4×D4—111no—
854C22×C4⋊C4—111no—
855C22×C4⋊C4—111no—
856C22×C42—111no—
857#400—111no—
858#400—111no—
859#399—111no—
860#399—111no—
861#399—111no—
862#399—111no—
863#398—111no—
864#398—111no—
865#397—111no—
866#397—111no—
867#397—111no—
868#397—111no—
869#396—111no—
870#396—111no—
871#396—111no—
872#396—111no—
873#395—111no—
874#395—111no—
875#395—111no—
876#395C2×D1111yescharacteristic
877#394—111no—
878#394—111no—
879#394—111no—
880#394—111no—
881#394—111no—
882#394—111no—
883#394—111no—
884#394—111no—
885#394—111no—
886#394—111no—
887#394—111no—
888#394C2×D1111yescharacteristic
889#393—111no—
890#393—111no—
891#393—111no—
892#393—111no—
893#393—111no—
894#393C2×D1111yescharacteristic
895#392—111no—
896#392—111no—
897#392—111no—
898#392—111no—
899#392—111no—
900#392—111no—
901#392—111no—
902#392—111no—
903#392—111no—
904#392C2×D1111yescharacteristic
905#391—111no—
906#390—111no—
907#390—111no—
908#390—111no—
909#390—111no—
910#390—111no—
911#390—111no—
912#390—111no—
913#390—111no—
914#390—111no—
915#389—111no—
916#389—111no—
917#388—111no—
918#388—111no—
919#388—111no—
920#388—111no—
921#388—111no—
922#388—111no—
923#388—111no—
924#388—111no—
925#387—111no—
926#387—111no—
927#387—111no—
928#387—111no—
929#387—111no—
930#387—111no—
931#387—111no—
932#387—111no—
933#386—111no—
934#386—111no—
935#386—111no—
936#386—111no—
937#386—111no—
938#386—111no—
939#386—111no—
940#386—111no—
941#386—111no—
942#386—111no—
943#386—111no—
944#386—111no—
945#386—111no—
946#386—111no—
947#386—111no—
948#386—111no—
949#386C2×D1111yescharacteristic
950#386C2×D1111yescharacteristic
951#386C2×D1111yescharacteristic
952#386C2×D1111yescharacteristic
953#385—111no—
954#385—111no—
955#385—111no—
956#385—111no—
957#385—111no—
958#385—111no—
959#385C2×D1111yescharacteristic
960#385C2×D1111yescharacteristic
961#384—111no—
962#382—111no—
963#380—111no—
964#380—111no—
965C2×#95—111no—
966C2×#95—111no—
967C2×#95—111no—
968C2×#95C2×D1111yescharacteristic
969C22×C11—22no—
970C22×C11—22no—
971C22×C11—22no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—41no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
996C22×C11#53514yes—
997C22×C11C23×D411yescharacteristic
998C22×C11C2×H(5,𝔽2)11yescharacteristic
999C22×C11C2×H(5,𝔽2)11yescharacteristic
1000C22×C11C2×H(5,𝔽2)11yescharacteristic
1001C22×C11C2×2−1+411yescharacteristic
1002C22×C11#58511yescharacteristic
1003C22×C11#58511yescharacteristic
1004C2×D11—41no—
1005C2×D11—41no—
1006C2×D11—41no—
1007C2×D11—41no—
1008C2×D11—41no—
1009C2×D11—41no—
1010C2×D11—41no—
1011C2×D11—41no—
1012C2×D11—41no—
1013C2×D11—41no—
1014C2×D11—41no—
1015C2×D11—41no—
1016C2×D11—41no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C4×C11—22no—
1026C4×C11—22no—
1027C4×C11—22no—
1028C4×C11—41no—
1029C4×C11—41no—
1030C4×C11—41no—
1031C4×C11—41no—
1032C4×C11—41no—
1033C4×C11—41no—
1034C4×C11—41no—
1035C4×C11—41no—
1036Dic11—22no—
1037Dic11—22no—
1038Dic11—22no—
1039Dic11—22no—
1040Dic11—22no—
1041Dic11—41no—
1042Dic11—41no—
1043Dic11—41no—
1044Dic11—41no—
1045Dic11—41no—
1046Dic11—41no—
1047Dic11—41no—
1048Dic11—41no—
1049C2×#41—24no—
1050C2×#41—42no—
1051C2×#41—42no—
1052C2×#41—224no—
1053C2×#41—442no—
1054C2×#41—442no—
1055C22×Q8—111no—
1056C22×Q8—111no—
1057C22×Q8C22×D1111yescharacteristic
1058C22×D4—111no—
1059C22×D4—111no—
1060C22×D4—111no—
1061C22×D4—111no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4—111no—
1069C22×D4—111no—
1070C22×D4—111no—
1071C22×D4—111no—
1072C22×D4—111no—
1073C22×D4C22×D1111yescharacteristic
1074C22×D4C22×D1111yescharacteristic
1075C22×D4C22×D1111yescharacteristic
1076C22×D4C22×D1111yescharacteristic
1077C22×D4C22×D1111yescharacteristic
1078C22×D4C22×D1111yescharacteristic
1079C23×C4—111no—
1080C23×C4—111no—
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—111no—
1085C23×C4—111no—
1086C23×C4—111no—
1087C23×C4C22×D1111yescharacteristic
1088C23×C4C22×D1111yescharacteristic
1089C23×C4C22×D1111yescharacteristic
1090C23×C4C22×D1111yescharacteristic
1091C23×C4C22×D1111yescharacteristic
1092#127—442no—
1093#126—224no—
1094#126—224no—
1095#125—224no—
1096#125—224no—
1097#124—442no—
1098#123—24no—
1099#123—224no—
1100#123—224no—
1101#123—224no—
1102C22⋊Q8—224no—
1103C22⋊Q8—224no—
1104C22⋊Q8—224no—
1105C22⋊Q8—224no—
1106C22⋊Q8—224no—
1107C22⋊Q8—224no—
1108C22⋊Q8—224no—
1109#121—42no—
1110#121—42no—
1111#121—224no—
1112#121—224no—
1113#121—224no—
1114#121—224no—
1115#121—224no—
1116#121—224no—
1117#121—224no—
1118#121—224no—
1119#121—224no—
1120#121—442no—
1121#121—442no—
1122#121—442no—
1123#121—442no—
1124#121—442no—
1125#121—442no—
1126#121—442no—
1127#121—442no—
1128C4×D4—224no—
1129C4×D4—224no—
1130C2×C4⋊C4—118no—
1131C2×C4⋊C4—111no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—111no—
1136C2×C4⋊C4—111no—
1137C2×C4⋊C4—111no—
1138C2×C4⋊C4—111no—
1139C2×C4⋊C4—111no—
1140C2×C4⋊C4—111no—
1141C2×C4⋊C4—111no—
1142C2×C4⋊C4—111no—
1143C2×C4⋊C4—111no—
1144C2×C4⋊C4—111no—
1145C2×C4⋊C4—111no—
1146C2×C4⋊C4—111no—
1147C2×C4⋊C4—111no—
1148C2×C4⋊C4—111no—
1149C2×C4⋊C4—111no—
1150C2×C4⋊C4—111no—
1151C2×C4⋊C4—111no—
1152C2×C4⋊C4—111no—
1153C2×C4⋊C4—111no—
1154C2×C4⋊C4—111no—
1155C2×C4⋊C4—111no—
1156C2×C4⋊C4—111no—
1157C2×C4⋊C4—442no—
1158C2×C4⋊C4C22×D1111yescharacteristic
1159C2×C4⋊C4C22×D1111yescharacteristic
1160C2×C4⋊C4C22×D1111yescharacteristic
1161C2×C4⋊C4C22×D1111yescharacteristic
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—111no—
1187C2×C22⋊C4—111no—
1188C2×C22⋊C4—111no—
1189C2×C22⋊C4—111no—
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—111no—
1192C2×C22⋊C4—111no—
1193C2×C22⋊C4—111no—
1194C2×C22⋊C4—111no—
1195C2×C22⋊C4—111no—
1196C2×C22⋊C4—111no—
1197C2×C22⋊C4—111no—
1198C2×C22⋊C4—111no—
1199C2×C22⋊C4—111no—
1200C2×C22⋊C4—111no—
1201C2×C22⋊C4C22×D1111yescharacteristic
1202C2×C22⋊C4C22×D1111yescharacteristic
1203C2×C22⋊C4C22×D1111yescharacteristic
1204C2×C22⋊C4C22×D1111yescharacteristic
1205C2×C22⋊C4C22×D1111yescharacteristic
1206C2×C22⋊C4C22×D1111yescharacteristic
1207C2×C22⋊C4C22×D1111yescharacteristic
1208C2×C22⋊C4C22×D1111yescharacteristic
1209C2×C22⋊C4C22×D1111yescharacteristic
1210C2×C22⋊C4C22×D1111yescharacteristic
1211C2×C22⋊C4C22×D1111yescharacteristic
1212C2×C42—111no—
1213C2×C42—111no—
1214C2×C42—111no—
1215C2×C42—111no—
1216C2×C42—111no—
1217C2×C42—111no—
1218C2×C42—442no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239#95—111no—
1240#95—111no—
1241#95—111no—
1242#95—111no—
1243#95C22×D1111yescharacteristic
1244#95C22×D1111yescharacteristic
1245#95C22×D1111yescharacteristic
1246#95C22×D1111yescharacteristic
1247#95C22×D1111yescharacteristic
1248#95C22×D1111yescharacteristic
1249#95C22×D1111yescharacteristic
1250#95C22×D1111yescharacteristic
1251C2×C11—24no—
1252C2×C11—81no—
1253C2×C11—81no—
1254C2×C11—81no—
1255C2×C11C2×#53511yescharacteristic
1256C2×C11#349611yescharacteristic
1257C2×C11#349711yescharacteristic
1258C2×C11#353411yescharacteristic
1259C2×C11#353611yescharacteristic
1260C2×C11#355911yescharacteristic
1261C2×C11#356011yescharacteristic
1262D11—81no—
1263D11—81no—
1264D11—81no—
1265C24—111no—
1266C24—111no—
1267C24—111no—
1268C24C23×D1111yescharacteristic
1269C24C23×D1111yescharacteristic
1270C24C23×D1111yescharacteristic
1271C24C23×D1111yescharacteristic
1272#41—416no—
1273#41—4416no—
1274C2×Q8—22no—
1275C2×Q8—41no—
1276C2×Q8—41no—
1277C2×Q8—222no—
1278C2×Q8—222no—
1279C2×Q8—441no—
1280C2×Q8—441no—
1281C2×Q8—441no—
1282C2×Q8—441no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—222no—
1302C2×D4—222no—
1303C2×D4—222no—
1304C2×D4—222no—
1305C2×D4—222no—
1306C2×D4—222no—
1307C2×D4—222no—
1308C2×D4—222no—
1309C2×D4—222no—
1310C2×D4—222no—
1311C2×D4—222no—
1312C2×D4—222no—
1313C2×D4—222no—
1314C2×D4—222no—
1315C2×D4—222no—
1316C2×D4—222no—
1317C2×D4—222no—
1318C2×D4—222no—
1319C2×D4—441no—
1320C2×D4—441no—
1321C2×D4—441no—
1322C2×D4—441no—
1323C2×D4—441no—
1324C2×D4—441no—
1325C2×D4—441no—
1326C2×D4—441no—
1327C2×D4—441no—
1328C2×D4—441no—
1329C2×D4—441no—
1330C2×D4—441no—
1331C2×D4—441no—
1332C2×D4—441no—
1333C2×D4—441no—
1334C2×D4—441no—
1335C2×D4—441no—
1336C2×D4—441no—
1337C2×D4—441no—
1338C2×D4—441no—
1339C2×D4—441no—
1340C2×D4—441no—
1341C2×D4—441no—
1342C2×D4—441no—
1343C2×D4—441no—
1344C2×D4—441no—
1345C2×D4—441no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—111no—
1361C22×C4—111no—
1362C22×C4—111no—
1363C22×C4—111no—
1364C22×C4—111no—
1365C22×C4—114no—
1366C22×C4—114no—
1367C22×C4—111no—
1368C22×C4—111no—
1369C22×C4—111no—
1370C22×C4—111no—
1371C22×C4—111no—
1372C22×C4—111no—
1373C22×C4—111no—
1374C22×C4—111no—
1375C22×C4—222no—
1376C22×C4—222no—
1377C22×C4—222no—
1378C22×C4—222no—
1379C22×C4—222no—
1380C22×C4—222no—
1381C22×C4—222no—
1382C22×C4—441no—
1383C22×C4—441no—
1384C22×C4—441no—
1385C22×C4—441no—
1386C22×C4—441no—
1387C22×C4—441no—
1388C22×C4—441no—
1389C22×C4—441no—
1390C22×C4—441no—
1391C22×C4—441no—
1392C22×C4—441no—
1393C22×C4—441no—
1394C22×C4—441no—
1395C22×C4—441no—
1396C22×C4—441no—
1397C22×C4D4×D1114yes—
1398C22×C4C23×D1111yescharacteristic
1399C22×C4C23×D1111yescharacteristic
1400C22×C4C23×D1111yescharacteristic
1401C22×C4C23×D1111yescharacteristic
1402C22×C4C23×D1111yescharacteristic
1403C22×C4C23×D1111yescharacteristic
1404C22×C4C23×D1111yescharacteristic
1405C22×C4C23×D1111yescharacteristic
1406C22×C4C23×D1111yescharacteristic
1407C22×C4C23×D1111yescharacteristic
1408C22×C4C23×D1111yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—114no—
1414C4⋊C4—114no—
1415C4⋊C4—114no—
1416C4⋊C4—114no—
1417C4⋊C4—222no—
1418C4⋊C4—222no—
1419C4⋊C4—222no—
1420C4⋊C4—222no—
1421C4⋊C4—222no—
1422C4⋊C4—222no—
1423C4⋊C4—222no—
1424C4⋊C4—222no—
1425C4⋊C4—222no—
1426C4⋊C4—222no—
1427C4⋊C4—222no—
1428C4⋊C4—222no—
1429C4⋊C4—222no—
1430C4⋊C4—222no—
1431C4⋊C4—441no—
1432C4⋊C4—441no—
1433C4⋊C4—441no—
1434C4⋊C4—441no—
1435C4⋊C4—441no—
1436C4⋊C4—441no—
1437C4⋊C4—441no—
1438C4⋊C4—441no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—222no—
1451C22⋊C4—222no—
1452C22⋊C4—222no—
1453C22⋊C4—222no—
1454C22⋊C4—222no—
1455C22⋊C4—222no—
1456C22⋊C4—222no—
1457C22⋊C4—222no—
1458C22⋊C4—222no—
1459C22⋊C4—222no—
1460C22⋊C4—222no—
1461C22⋊C4—222no—
1462C22⋊C4—222no—
1463C22⋊C4—222no—
1464C22⋊C4—222no—
1465C22⋊C4—222no—
1466C22⋊C4—222no—
1467C22⋊C4—222no—
1468C22⋊C4—441no—
1469C22⋊C4—441no—
1470C22⋊C4—441no—
1471C22⋊C4—441no—
1472C22⋊C4—441no—
1473C22⋊C4—441no—
1474C22⋊C4—441no—
1475C22⋊C4—441no—
1476C22⋊C4—441no—
1477C22⋊C4—441no—
1478C22⋊C4—441no—
1479C22⋊C4—441no—
1480C22⋊C4—441no—
1481C22⋊C4—441no—
1482C22⋊C4—441no—
1483C22⋊C4—441no—
1484C22⋊C4—441no—
1485C22⋊C4—441no—
1486C22⋊C4—441no—
1487C22⋊C4—441no—
1488C22⋊C4—441no—
1489C42—222no—
1490C42—222no—
1491C42—222no—
1492C42—222no—
1493C42—441no—
1494C42—441no—
1495C11#3674111yescharacteristic, complemented, Sylow
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—221no—
1522C23—221no—
1523C23—221no—
1524C23—221no—
1525C23—221no—
1526C23—221no—
1527C23—221no—
1528C23—221no—
1529C23—221no—
1530C23—221no—
1531C23—221no—
1532C23—221no—
1533C23—221no—
1534C23—221no—
1535C23—221no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23C2×D4×D1112yes—
1543C23#6703712yes—
1544C23#6703712yes—
1545C23C24×D1111yescharacteristic
1546Q8—44no—
1547Q8—444no—
1548Q8—882no—
1549D4—44no—
1550D4—44no—
1551D4—44no—
1552D4—44no—
1553D4—82no—
1554D4—82no—
1555D4—444no—
1556D4—444no—
1557D4—444no—
1558D4—444no—
1559D4—882no—
1560D4—882no—
1561D4—882no—
1562D4—882no—
1563D4—882no—
1564D4—882no—
1565D4—882no—
1566D4—882no—
1567D4—882no—
1568D4—882no—
1569D4—882no—
1570C2×C4—28no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—82no—
1605C2×C4—112no—
1606C2×C4—112no—
1607C2×C4—112no—
1608C2×C4—112no—
1609C2×C4—112no—
1610C2×C4—221no—
1611C2×C4—221no—
1612C2×C4—221no—
1613C2×C4—221no—
1614C2×C4—221no—
1615C2×C4—221no—
1616C2×C4—221no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—444no—
1645C2×C4—444no—
1646C2×C4—444no—
1647C2×C4—444no—
1648C2×C4—444no—
1649C2×C4—882no—
1650C2×C4—882no—
1651C2×C4—882no—
1652C2×C4C2×D4×D1112yes—
1653C2×C4C2×D4×D1112yes—
1654C2×C4#6704212yes—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—441no—
1683C22—441no—
1684C22—441no—
1685C22—441no—
1686C22—441no—
1687C22—441no—
1688C22—441no—
1689C22—441no—
1690C22—441no—
1691C22—441no—
1692C22—441no—
1693C22—441no—
1694C22—441no—
1695C22—441no—
1696C22—441no—
1697C22—441no—
1698C22—441no—
1699C22—441no—
1700C22—441no—
1701C22—441no—
1702C22—441no—
1703C22#1062312314yes—
1704C22C22×D4×D1111yescharacteristic
1705C22C2×#6703711yescharacteristic
1706C22C2×#6703711yescharacteristic
1707C22C2×#6704211yescharacteristic
1708C22#1062345311yescharacteristic
1709C22#1062345511yescharacteristic
1710C22D11×2−1+411yescharacteristic
1711C4—22no—
1712C4—22no—
1713C4—22no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—222no—
1723C4—222no—
1724C4—222no—
1725C4—222no—
1726C4—222no—
1727C4—441no—
1728C4—441no—
1729C4—441no—
1730C4—441no—
1731C4—441no—
1732C4—441no—
1733C4—441no—
1734C4—441no—
1735C2—24no—
1736C2—81no—
1737C2—81no—
1738C2—81no—
1739C2—881no—
1740C2—881no—
1741C2—881no—
1742C2C2×#1062312311yescharacteristic
1743C2#1308237811yescharacteristic
1744C2#1308238511yescharacteristic
1745C2#1308280211yescharacteristic
1746C2#1308283911yescharacteristic
1747C2#1308314111yescharacteristic
1748C2#1308316011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2430C2
hypercenter#2430D11
hypocenterC11#36741
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2430

Complements

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

NH ≅ G/Ntype
1. C2×#10623196C2semidirect
2. C2×#10623364C2semidirect
3. #13076959C2semidirect
4. #13076913C2semidirect
5. #13075540C2semidirect
6. #13075538C2semidirect
7. #13075501C2semidirect
8. #13075499C2semidirect
9. #13075417C2semidirect
10. #13075415C2semidirect
11. #13075378C2semidirect
12. #13075376C2semidirect
13. #13075171C2semidirect
14. #13075169C2semidirect
15. #13075117C2semidirect
16. #13075115C2semidirect
17. #13074922C2semidirect
18. #13074920C2semidirect
19. #13074887C2semidirect
20. #13074880C2semidirect
21. #13074720C2semidirect
22. #13074546C2semidirect
23. #13073580C2semidirect
24. #13073574C2semidirect
25. #13072228C2semidirect
26. #13072226C2semidirect
27. #13072220C2semidirect
28. #13072055C2semidirect
29. #13072053C2semidirect
30. C2×#10622266C2semidirect
31. C11×#2430C2semidirect
310. C2×C4⋊Dic11D4semidirect
649. #2430D11semidirect
1495. C11#36741semidirect

Maximal subgroups

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

subgroupindex
C2×#106231962
C2×#106233642
#130769592
#130769132
#130755402
#130755382
#130755012
#130754992
#130754172
#130754152
#130753782
#130753762
#130751712
#130751692
#130751172
#130751152
#130749222
#130749202
#130748872
#130748802
#130747202
#130745462
#130735802
#130735742
#130722282
#130722262
#130722202
#130720552
#130720532
C2×#106222662
C11×#24302
#3674111