Finite Group Databasebeta

← #15624756

Subgroups — #15624756

Order 2816.

2250 conjugacy classes of subgroups.

The subgroup lattice has 1986 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082280C211yesmaximal, characteristic, complemented
2D11×#537C211yesmaximal, characteristic, complemented
3#13079526C211yesmaximal, characteristic, complemented
4#13079524C211yesmaximal, characteristic, complemented
5#13079522C211yesmaximal, characteristic, complemented
6#13079473C211yesmaximal, characteristic, complemented
7#13079470C211yesmaximal, characteristic, complemented
8#13079465C211yesmaximal, characteristic, complemented
9#13079462C211yesmaximal, characteristic, complemented
10#13079447C211yesmaximal, characteristic, complemented
11#13079444C211yesmaximal, characteristic, complemented
12#13079415C211yesmaximal, characteristic, complemented
13#13079412C211yesmaximal, characteristic, complemented
14#13079382C211yesmaximal, characteristic, complemented
15#13079379C211yesmaximal, characteristic, complemented
16#13079372C211yesmaximal, characteristic, complemented
17#13079368C211yesmaximal, characteristic, complemented
18#13078606C211yesmaximal, characteristic, complemented
19#13078600C211yesmaximal, characteristic, complemented
20#13078540C211yesmaximal, characteristic, complemented
21D11×#481C211yesmaximal, characteristic, complemented
22#13078293C211yesmaximal, characteristic, complemented
23#13078289C211yesmaximal, characteristic, complemented
24#13078280C211yesmaximal, characteristic, complemented
25#13078273C211yesmaximal, characteristic, complemented
26#13077924C211yesmaximal, characteristic, complemented
27#13077918C211yesmaximal, characteristic, complemented
28#13077865C211yesmaximal, characteristic, complemented
29#13077837C211yesmaximal, characteristic, complemented
30#13077064C211yesmaximal, characteristic, complemented
31C11×#3204C211yesmaximal, characteristic, complemented
32C2×#67042C2211yescharacteristic, complemented
33C2×#41×D11C2211yescharacteristic
34C2×#41×D11C2211yescharacteristic, complemented
35C11×#537C2211yescharacteristic, complemented
36C11×#537C2211yescharacteristic, complemented
37#10623364C2211yescharacteristic, complemented
38#10623364C2211yescharacteristic, complemented
39#10623361C2211yescharacteristic, complemented
40#10623359C2211yescharacteristic
41C2×#66972C2211yescharacteristic, complemented
42C2×#66969C2211yescharacteristic, complemented
43C2×#66967C2211yescharacteristic, complemented
44C2×#66964C2211yescharacteristic, complemented
45C2×#66960C2211yescharacteristic, complemented
46C2×#66954C2211yescharacteristic, complemented
47#10623164—21no—
48#10623161—21no—
49#10623160—21no—
50#10623160C2211yescharacteristic
51#10623160C2211yescharacteristic, complemented
52#10623160C2211yescharacteristic, complemented
53#10623160C2211yescharacteristic, complemented
54#10623158C2211yescharacteristic
55#10623158C2211yescharacteristic
56D11×C22⋊Q8—21no—
57D11×C22⋊Q8C2211yescharacteristic, complemented
58D11×C22⋊Q8C2211yescharacteristic, complemented
59#10623141—21no—
60#10623141—21no—
61#10623140—21no—
62#10623140—21no—
63#10623140—21no—
64#10623139—21no—
65#10623139C2211yescharacteristic
66#10623139C2211yescharacteristic, complemented
67#10623138C2211yescharacteristic, complemented
68#10623138C2211yescharacteristic, complemented
69D11×#121—21no—
70D11×#121—21no—
71D11×#121—21no—
72D11×#121C2211yescharacteristic
73D11×#121C2211yescharacteristic
74D11×#121C2211yescharacteristic, complemented
75D11×#121C2211yescharacteristic, complemented
76#10623130—21no—
77#10623128—21no—
78#10623128—21no—
79#10623041C2211yescharacteristic, complemented
80C2×#66948C2211yescharacteristic
81#10623035C2211yescharacteristic, complemented
82C2×C4⋊C4×D11C2211yescharacteristic, complemented
83C11×#483C2211yescharacteristic, complemented
84C11×#483C2211yescharacteristic, complemented
85C11×#481C2211yescharacteristic, complemented
86C11×#481C2211yescharacteristic, complemented
87C11×#470C2211yescharacteristic, complemented
88C11×#469C2211yescharacteristic, complemented
89C11×#465C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#452C2211yescharacteristic, complemented
92C11×#452C2211yescharacteristic, complemented
93C11×#449C2211yescharacteristic, complemented
94C11×#449C2211yescharacteristic, complemented
95C11×#408C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic, complemented
97#10622851C2211yescharacteristic, complemented
98#10622851C2211yescharacteristic, complemented
99#10622851C2211yescharacteristic, complemented
100#10622847C2211yescharacteristic, complemented
101#10622802C2211yescharacteristic, complemented
102#10622800C2211yescharacteristic, complemented
103#10622799C2211yescharacteristic, complemented
104#10622787C2211yescharacteristic, complemented
105#10622785C2211yescharacteristic, complemented
106#10622784C2211yescharacteristic, complemented
107#10622783C2211yescharacteristic, complemented
108#10622782C2211yescharacteristic, complemented
109#10622782C2211yescharacteristic, complemented
110#10622770C2211yescharacteristic, complemented
111#10622769C2211yescharacteristic, complemented
112#10622769C2211yescharacteristic, complemented
113#10622748C2211yescharacteristic, complemented
114#10622747C2211yescharacteristic, complemented
115#10622739C2211yescharacteristic, complemented
116#10622728C2211yescharacteristic, complemented
117#10622727C2211yescharacteristic, complemented
118C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
119#10622665C2211yescharacteristic, complemented
120#10622662C2211yescharacteristic, complemented
121#10622661C2211yescharacteristic, complemented
122#10622661C2211yescharacteristic, complemented
123#10622660C2211yescharacteristic, complemented
124#10622659C2211yescharacteristic, complemented
125#10622658C2211yescharacteristic, complemented
126#10622656C2211yescharacteristic, complemented
127#10622654C2211yescharacteristic, complemented
128#10622652C2211yescharacteristic, complemented
129#10622652C2211yescharacteristic, complemented
130#10622651C2211yescharacteristic, complemented
131#10622650C2211yescharacteristic, complemented
132#10622649C2211yescharacteristic, complemented
133#10622648C2211yescharacteristic, complemented
134#10622647C2211yescharacteristic, complemented
135#10622584C2211yescharacteristic, complemented
136#10622581C2211yescharacteristic, complemented
137#10622581C2211yescharacteristic, complemented
138#10622580C2211yescharacteristic, complemented
139#10622480C2211yescharacteristic, complemented
140#10622479C2211yescharacteristic, complemented
141#10622478C2211yescharacteristic, complemented
142#10622478C2211yescharacteristic, complemented
143#10622477C2211yescharacteristic, complemented
144#10622477C2211yescharacteristic, complemented
145#10622476C2211yescharacteristic, complemented
146#10622476C2211yescharacteristic, complemented
147#10622476C2211yescharacteristic, complemented
148#10622476C2211yescharacteristic, complemented
149#10622476C2211yescharacteristic, complemented
150#10622475C2211yescharacteristic, complemented
151#10622474C2211yescharacteristic, complemented
152#10622474C2211yescharacteristic, complemented
153D11×#106C2211yescharacteristic, complemented
154D11×#106C2211yescharacteristic, complemented
155#10622429C2211yescharacteristic, complemented
156#10622427C2211yescharacteristic, complemented
157#10622424C2211yescharacteristic, complemented
158#10622423C2211yescharacteristic, complemented
159#10622422C2211yescharacteristic, complemented
160#10622422C2211yescharacteristic, complemented
161#10622420C2211yescharacteristic, complemented
162#10622420C2211yescharacteristic, complemented
163#10622420C2211yescharacteristic, complemented
164#10622419C2211yescharacteristic, complemented
165#10622419C2211yescharacteristic, complemented
166#10622418C2211yescharacteristic, complemented
167#10622417C2211yescharacteristic, complemented
168#10622416C2211yescharacteristic, complemented
169#10622416C2211yescharacteristic, complemented
170#10622416C2211yescharacteristic, complemented
171#10622397C2211yescharacteristic, complemented
172#10622395C2211yescharacteristic, complemented
173#10622395C2211yescharacteristic, complemented
174#10622393C2211yescharacteristic, complemented
175#10622390C2211yescharacteristic, complemented
176#10622390C2211yescharacteristic, complemented
177#10622390C2211yescharacteristic, complemented
178#10622389C2211yescharacteristic, complemented
179#10622388C2211yescharacteristic, complemented
180#10622386C2211yescharacteristic, complemented
181#10622386C2211yescharacteristic, complemented
182#10622386C2211yescharacteristic, complemented
183#10622385C2211yescharacteristic, complemented
184#10622384C2211yescharacteristic, complemented
185D11×#102C2211yescharacteristic, complemented
186D11×#102C2211yescharacteristic, complemented
187#10622350C2211yescharacteristic, complemented
188#10622349C2211yescharacteristic, complemented
189#10622348C2211yescharacteristic, complemented
190#10622347C2211yescharacteristic, complemented
191#10622347C2211yescharacteristic, complemented
192#10622345C2211yescharacteristic, complemented
193#10622344C2211yescharacteristic, complemented
194#10622340C2211yescharacteristic, complemented
195#10622340C2211yescharacteristic, complemented
196#10622340C2211yescharacteristic, complemented
197#10622340C2211yescharacteristic, complemented
198#10622339C2211yescharacteristic, complemented
199#10622339C2211yescharacteristic, complemented
200D11×C22⋊C8C2211yescharacteristic, complemented
201D11×C22⋊C8C2211yescharacteristic, complemented
202#10622336C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C2×C11×#41C2311yescharacteristic
206#67042—42no—
207#67042—42no—
208#41×D11—42no—
209#41×D11—42no—
210#41×D11—42no—
211#41×D11—42no—
212C2×#4343D411yescharacteristic
213C2×#4343C2311yescharacteristic
214C2×#4343C2311yescharacteristic
215C2×#4343C2311yescharacteristic
216C2×Q8×D11D411yescharacteristic
217C2×Q8×D11C2311yescharacteristic
218C2×#4341—21no—
219C2×#4341D411yescharacteristic
220C2×#4341D411yescharacteristic
221C2×#4341D411yescharacteristic
222C2×#4341C2311yescharacteristic
223C2×D4×D11—21no—
224C2×D4×D11—21no—
225C2×D4×D11—21no—
226C2×D4×D11—21no—
227C2×D4×D11—21no—
228C2×D4×D11—21no—
229C2×D4×D11—21no—
230C2×D4×D11D411yescharacteristic
231C2×D4×D11D411yescharacteristic
232C2×D4×D11D411yescharacteristic
233C2×D4×D11C2311yescharacteristic
234C2×D4×D11C2311yescharacteristic
235C2×D4×D11C2311yescharacteristic
236C2×#4339—21no—
237C2×#4339—21no—
238C2×#4339C2311yescharacteristic
239C2×#4339C2311yescharacteristic
240C2×#4339C2311yescharacteristic
241C2×#4339C2311yescharacteristic
242C22×D44—21no—
243C22×D44—21no—
244C22×D44C2311yescharacteristic
245C22×C4×D11—21no—
246C22×C4×D11—21no—
247C22×C4×D11C2311yescharacteristic
248C22×C4×D11C2311yescharacteristic
249C22×C4×D11C2311yescharacteristic
250C2×C11×Q16C2311yescharacteristic
251C2×C11×SD16C2311yescharacteristic
252C2×C11×SD16C2311yescharacteristic
253C2×C11×D8C2311yescharacteristic
254C2×C11×M16C2311yescharacteristic
255C22×C8×C11C2311yescharacteristic
256C11×C22⋊Q8—21no—
257C11×C22⋊Q8—21no—
258C11×C22⋊Q8C2311yescharacteristic
259C11×C22⋊Q8C2311yescharacteristic
260C11×C22⋊Q8C2311yescharacteristic
261C11×C22⋊Q8C2311yescharacteristic
262C11×#121—21no—
263C11×#121—21no—
264C11×#121—21no—
265C11×#121—21no—
266C11×#121—21no—
267C11×#121—21no—
268C11×#121C2311yescharacteristic
269C11×#121C2311yescharacteristic
270C11×#121C2311yescharacteristic
271C11×#121C2311yescharacteristic
272C2×C11×C4⋊C4C2311yescharacteristic
273C2×C11×C4⋊C4C2311yescharacteristic
274#67000—21no—
275#66999—21no—
276#66999C2311yescharacteristic
277#66999C2311yescharacteristic
278#66999C2311yescharacteristic
279#66999C2311yescharacteristic
280C2×#4326C2311yescharacteristic
281C2×#4325C2311yescharacteristic
282C2×#4325C2311yescharacteristic
283C2×#4325C2311yescharacteristic
284#66993—21no—
285#66993—21no—
286#66993—21no—
287#66992—21no—
288#66992—21no—
289#66992—21no—
290#66992—21no—
291#66992—21no—
292#66992—21no—
293#66992—21no—
294#66992—21no—
295#66992—21no—
296#66992—21no—
297#66991—21no—
298#66991—21no—
299#66991—21no—
300#66991C2311yescharacteristic
301#66991C2311yescharacteristic
302#66991C2311yescharacteristic
303#66991C2311yescharacteristic
304#66990—21no—
305#66990—21no—
306#66990—21no—
307#66990—21no—
308#66990—21no—
309#66988—21no—
310C2×#4324C2311yescharacteristic
311C2×#4323C2311yescharacteristic
312C2×#4323C2311yescharacteristic
313C2×#4323C2311yescharacteristic
314#66983—21no—
315#66983—21no—
316#66983—21no—
317#66983C2311yescharacteristic
318#66983C2311yescharacteristic
319#66983C2311yescharacteristic
320#66983C2311yescharacteristic
321#66983C2311yescharacteristic
322#66983C2311yescharacteristic
323C4×C22⋊D11—21no—
324C4×C22⋊D11—21no—
325C4×C22⋊D11—21no—
326C4×C22⋊D11—21no—
327C2×(C2×D11)⋊C4—21no—
328#66979C2311yescharacteristic
329C2×C4⋊Dic11C2311yescharacteristic
330#66977—21no—
331#66977C2311yescharacteristic
332#66977C2311yescharacteristic
333C2×Dic11⋊C4—21no—
334C2×#4318C2311yescharacteristic
335C22×C11⋊C8C2311yescharacteristic
336#66972—42no—
337#66969—42no—
338#66967—42no—
339#66964—42no—
340#66960—42no—
341C2×D88C2311yescharacteristic
342C2×D88C2311yescharacteristic
343C2×#4314C2311yescharacteristic
344C2×#4314C2311yescharacteristic
345#66954—42no—
346C2×#4313C2311yescharacteristic
347C2×#4313C2311yescharacteristic
348C2×#4313C2311yescharacteristic
349C2×#4313C2311yescharacteristic
350C2×C8×D11C2311yescharacteristic
351C2×C8×D11C2311yescharacteristic
352C2×C8×D11C2311yescharacteristic
353C2×C8×D11C2311yescharacteristic
354#66950—21no—
355#66950C2311yescharacteristic
356#66950C2311yescharacteristic
357#66949—21no—
358#66949—21no—
359#66949—21no—
360#66949—21no—
361#66949—21no—
362#66949—21no—
363#66948—21no—
364#66948—21no—
365#66948—21no—
366#66948—21no—
367#66948—21no—
368#66948—21no—
369#66948—21no—
370#66948C2311yescharacteristic
371#66948C2311yescharacteristic
372#66948C2311yescharacteristic
373#66948C2311yescharacteristic
374#66948C2311yescharacteristic
375#66948C2311yescharacteristic
376#66947—21no—
377#66947—21no—
378#66946—21no—
379#66946—21no—
380#66946—21no—
381#66945C2311yescharacteristic
382#66945C2311yescharacteristic
383C4⋊C4×D11—21no—
384C4⋊C4×D11—21no—
385C4⋊C4×D11—21no—
386C4⋊C4×D11—21no—
387C4⋊C4×D11C2311yescharacteristic
388C4⋊C4×D11C2311yescharacteristic
389C4⋊C4×D11C2311yescharacteristic
390C4⋊C4×D11C2311yescharacteristic
391C4⋊C4×D11C2311yescharacteristic
392C4⋊C4×D11C2311yescharacteristic
393#66940—21no—
394#66938—21no—
395#66938—21no—
396#66937—21no—
397#66937—21no—
398#66937—21no—
399#66937—21no—
400#66937—21no—
401#66937—21no—
402#66937—21no—
403#66937—21no—
404#66937—21no—
405#66937—21no—
406#66937—21no—
407#66937—21no—
408#66937—21no—
409#66937—21no—
410#66935—21no—
411#66935—21no—
412#66935—21no—
413#66935—21no—
414(C22⋊D11)⋊C4—21no—
415(C22⋊D11)⋊C4—21no—
416C22⋊C4×D11—21no—
417C22⋊C4×D11—21no—
418C22⋊C4×D11—21no—
419C22⋊C4×D11—21no—
420C22⋊C4×D11—21no—
421C22⋊C4×D11—21no—
422#66931—21no—
423#66931—21no—
424#66931—21no—
425#66931—21no—
426C11×#106C2311yescharacteristic
427C11×#106C2311yescharacteristic
428C11×#106C2311yescharacteristic
429C11×#106C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C11×C22⋊C8C2311yescharacteristic
441C11×C22⋊C8C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66896C2311yescharacteristic
447#66896C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450C22⋊(C11⋊C8)C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458#66885C2311yescharacteristic
459#66885C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466(C2×D11)⋊C8C2311yescharacteristic
467(C2×D11)⋊C8C2311yescharacteristic
468#66882C2311yescharacteristic
469#66882C2311yescharacteristic
470#66881C2311yescharacteristic
471#66881C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66872C2311yescharacteristic
483#66872C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66872C2311yescharacteristic
487#66872C2311yescharacteristic
488#66871C2311yescharacteristic
489#66871C2311yescharacteristic
490#60765—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11—21no—
495C23×D11C2×D411yescharacteristic
496C23×D11C2×D411yescharacteristic
497C23×D11C2×D411yescharacteristic
498C11×#41—41no—
499C11×#41—41no—
500C11×#41—41no—
501C11×#41—41no—
502C11×#41—41no—
503C11×#41—41no—
504C2×Q8×C11C2×D411yescharacteristic
505C2×Q8×C11C2411yescharacteristic
506C2×Q8×C11C2411yescharacteristic
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11—21no—
510C2×D4×C11—21no—
511C2×D4×C11—21no—
512C2×D4×C11—21no—
513C2×D4×C11C2×D411yescharacteristic
514C2×D4×C11C2×D411yescharacteristic
515C2×D4×C11C2×D411yescharacteristic
516C2×D4×C11C2411yescharacteristic
517C2×D4×C11C2411yescharacteristic
518C22×C4×C11—21no—
519C22×C4×C11—21no—
520C22×C4×C11—21no—
521C22×C4×C11—21no—
522C22×C4×C11C2411yescharacteristic
523C22×C4×C11C2411yescharacteristic
524C22×C4×C11C2411yescharacteristic
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—21no—
530C2×C22⋊D11—21no—
531C2×C22⋊D11—21no—
532C2×C22⋊D11—21no—
533C2×C22⋊D11—21no—
534C2×C22⋊D11—21no—
535C2×C22⋊D11—21no—
536C2×C22⋊D11—21no—
537C2×C22⋊D11—21no—
538C2×C22⋊D11—21no—
539C2×C22⋊D11—21no—
540C2×C22⋊D11C2×D411yescharacteristic
541C2×C22⋊D11C2×D411yescharacteristic
542C2×C22⋊D11C2×D411yescharacteristic
543C2×C22⋊D11C2×D411yescharacteristic
544C2×C22⋊D11C2×D411yescharacteristic
545C2×C22⋊D11C2×D411yescharacteristic
546C22×Dic11—21no—
547C22×Dic11—21no—
548C22×Dic11C2×D411yescharacteristic
549C22×Dic11C2×D411yescharacteristic
550C22×Dic11C2×D411yescharacteristic
551#4343—22no—
552#4343—22no—
553#4343—22no—
554#4343—22no—
555#4343—41no—
556#4343—41no—
557#4343—42no—
558Q8×D11—41no—
559Q8×D11—41no—
560Q8×D11—42no—
561#4341—22no—
562#4341—22no—
563#4341—42no—
564#4341—42no—
565#4341—42no—
566#4341—44no—
567D4×D11—22no—
568D4×D11—22no—
569D4×D11—41no—
570D4×D11—41no—
571D4×D11—41no—
572D4×D11—41no—
573D4×D11—42no—
574D4×D11—42no—
575D4×D11—44no—
576D4×D11—42no—
577D4×D11—44no—
578D4×D11—44no—
579D4×D11—82no—
580D4×D11—82no—
581D4×D11—82no—
582D4×D11—82no—
583#4339—22no—
584#4339—22no—
585#4339—22no—
586#4339—22no—
587#4339—41no—
588#4339—41no—
589#4339—41no—
590#4339—41no—
591#4339—44no—
592#4339—44no—
593C2×D44—21no—
594C2×D44—21no—
595C2×D44—21no—
596C2×D44—21no—
597C2×D44—21no—
598C2×D44—21no—
599C2×D44—21no—
600C2×D44—21no—
601C2×D44—21no—
602C2×D44—21no—
603C2×D44—41no—
604C2×D44—41no—
605C2×D44—44no—
606C2×D44—82no—
607C2×D44C2×D411yescharacteristic
608C2×D44C2×D411yescharacteristic
609C2×D44C2×D411yescharacteristic
610C2×D44C2411yescharacteristic
611C2×D44C2411yescharacteristic
612C2×D44C2411yescharacteristic
613C2×C4×D11—22no—
614C2×C4×D11—22no—
615C2×C4×D11—21no—
616C2×C4×D11—21no—
617C2×C4×D11—21no—
618C2×C4×D11—21no—
619C2×C4×D11—21no—
620C2×C4×D11—21no—
621C2×C4×D11—21no—
622C2×C4×D11—21no—
623C2×C4×D11—21no—
624C2×C4×D11—21no—
625C2×C4×D11—21no—
626C2×C4×D11—41no—
627C2×C4×D11—41no—
628C2×C4×D11—41no—
629C2×C4×D11—41no—
630C2×C4×D11—44no—
631C2×C4×D11—82no—
632C2×C4×D11C2×D411yescharacteristic
633C2×C4×D11C2×D411yescharacteristic
634C2×C4×D11C2×D411yescharacteristic
635C2×C4×D11C2×D411yescharacteristic
636C2×C4×D11C2×D411yescharacteristic
637C2×C4×D11C2×D411yescharacteristic
638C2×C4×D11C2411yescharacteristic
639C2×C4×D11C2411yescharacteristic
640C2×C4×D11C2411yescharacteristic
641C2×C4×D11C2411yescharacteristic
642C2×Dic22—21no—
643C2×Dic22C2×D411yescharacteristic
644C2×Dic22C2×D411yescharacteristic
645C2×Dic22C2×D411yescharacteristic
646C2×Dic22C2411yescharacteristic
647C11×Q16—41no—
648C11×SD16—41no—
649C11×SD16—41no—
650C11×D8—41no—
651C11×M16—41no—
652C2×C8×C11—41no—
653C2×C8×C11C2411yescharacteristic
654C2×C8×C11C2411yescharacteristic
655C2×C8×C11C2411yescharacteristic
656C2×C8×C11C2411yescharacteristic
657C11×C4⋊C4—21no—
658C11×C4⋊C4—21no—
659C11×C4⋊C4—21no—
660C11×C4⋊C4—21no—
661C11×C4⋊C4—21no—
662C11×C4⋊C4—21no—
663C11×C4⋊C4C2411yescharacteristic
664C11×C4⋊C4C2411yescharacteristic
665C11×C4⋊C4C2411yescharacteristic
666C11×C4⋊C4C2411yescharacteristic
667C11×C22⋊C4—21no—
668C11×C22⋊C4—21no—
669C11×C22⋊C4—21no—
670C11×C22⋊C4—21no—
671C11×C22⋊C4—21no—
672C11×C22⋊C4—21no—
673C11×C22⋊C4—21no—
674C11×C22⋊C4—21no—
675C22⋊Dic11—21no—
676C22⋊Dic11—21no—
677C22⋊Dic11—21no—
678C22⋊Dic11—21no—
679C22⋊Dic11—21no—
680C22⋊Dic11—21no—
681C22⋊Dic11—21no—
682#4326—41no—
683#4325—41no—
684#4325—41no—
685#4325—41no—
686#4324—41no—
687#4323—41no—
688#4323—41no—
689#4323—41no—
690(C2×D11)⋊C4—21no—
691(C2×D11)⋊C4—21no—
692(C2×D11)⋊C4—21no—
693(C2×D11)⋊C4—21no—
694(C2×D11)⋊C4—21no—
695(C2×D11)⋊C4—21no—
696(C2×D11)⋊C4—21no—
697(C2×D11)⋊C4—21no—
698(C2×D11)⋊C4—21no—
699(C2×D11)⋊C4—21no—
700(C2×D11)⋊C4—21no—
701(C2×D11)⋊C4—21no—
702(C2×D11)⋊C4—21no—
703(C2×D11)⋊C4—21no—
704(C2×D11)⋊C4—21no—
705(C2×D11)⋊C4—21no—
706(C2×D11)⋊C4—21no—
707(C2×D11)⋊C4—21no—
708(C2×D11)⋊C4—21no—
709(C2×D11)⋊C4—21no—
710C4⋊Dic11—21no—
711C4⋊Dic11—21no—
712C4⋊Dic11—21no—
713C4⋊Dic11C2411yescharacteristic
714C4⋊Dic11C2411yescharacteristic
715C4⋊Dic11C2411yescharacteristic
716C4⋊Dic11C2411yescharacteristic
717Dic11⋊C4—21no—
718Dic11⋊C4—21no—
719Dic11⋊C4—21no—
720Dic11⋊C4—21no—
721Dic11⋊C4—21no—
722Dic11⋊C4—21no—
723Dic11⋊C4—21no—
724Dic11⋊C4—21no—
725Dic11⋊C4—21no—
726Dic11⋊C4—21no—
727Dic11⋊C4—21no—
728Dic11⋊C4—21no—
729C4×Dic11—21no—
730C4×Dic11—21no—
731C4×Dic11—21no—
732#4318—41no—
733C2×C11⋊C8—41no—
734C2×C11⋊C8C2411yescharacteristic
735C2×C11⋊C8C2411yescharacteristic
736C2×C11⋊C8C2411yescharacteristic
737C2×C11⋊C8C2411yescharacteristic
738D88—41no—
739D88—41no—
740#4314—41no—
741#4314—41no—
742#4313—22no—
743#4313—22no—
744#4313—41no—
745#4313—41no—
746C8×D11—22no—
747C8×D11—22no—
748C8×D11—41no—
749C8×D11—41no—
750#3488—111no—
751C2×#537—111no—
752#3204—111no—
753#3204—111no—
754#3204—111no—
755#3204D1111yescharacteristic, complemented
756#3198—111no—
757#3198—111no—
758#3198—111no—
759#3198—111no—
760#3196—111no—
761#3196—111no—
762#3192—111no—
763#3192—111no—
764#3188—111no—
765#3188—111no—
766#3187—111no—
767#3187—111no—
768#3099—111no—
769#3099—111no—
770#3092—111no—
771C2×#481—111no—
772#3062—111no—
773#3062—111no—
774#3060—111no—
775#3060—111no—
776#3012—111no—
777#3012—111no—
778#3006—111no—
779#3002—111no—
780#2880—111no—
781C23×C11—21no—
782C23×C11—21no—
783C23×C11C22×D411yescharacteristic
784C23×C11C22×D411yescharacteristic
785C23×C11C22×D411yescharacteristic
786C22×D11—22no—
787C22×D11—22no—
788C22×D11—22no—
789C22×D11—22no—
790C22×D11—21no—
791C22×D11—21no—
792C22×D11—21no—
793C22×D11—41no—
794C22×D11—41no—
795C22×D11—41no—
796C22×D11—41no—
797C22×D11—41no—
798C22×D11—42no—
799C22×D11—42no—
800C22×D11—42no—
801C22×D11—42no—
802C22×D11—42no—
803C22×D11—42no—
804C22×D11—81no—
805C22×D11—81no—
806C22×D11—81no—
807C22×D11—81no—
808C22×D11—81no—
809C22×D11—81no—
810C22×D11C22×D411yescharacteristic
811C22×D11C22×D411yescharacteristic
812C22×D11C22×D411yescharacteristic
813C22×D11C22×D411yescharacteristic
814Q8×C11—21no—
815Q8×C11—21no—
816Q8×C11—21no—
817Q8×C11—21no—
818Q8×C11—41no—
819D4×C11—21no—
820D4×C11—21no—
821D4×C11—21no—
822D4×C11—21no—
823D4×C11—41no—
824D4×C11—41no—
825D4×C11—41no—
826D4×C11—42no—
827D4×C11—42no—
828D4×C11—81no—
829D4×C11—81no—
830D4×C11—81no—
831D4×C11—81no—
832C2×C4×C11—21no—
833C2×C4×C11—21no—
834C2×C4×C11—21no—
835C2×C4×C11—21no—
836C2×C4×C11—21no—
837C2×C4×C11—21no—
838C2×C4×C11—21no—
839C2×C4×C11—21no—
840C2×C4×C11—21no—
841C2×C4×C11—21no—
842C2×C4×C11—21no—
843C2×C4×C11—21no—
844C2×C4×C11—42no—
845C2×C4×C11—42no—
846C2×C4×C11—81no—
847C2×C4×C11—81no—
848C2×C4×C11C22×D411yescharacteristic
849C2×C4×C11C22×D411yescharacteristic
850C2×C4×C11C22×D411yescharacteristic
851C2×C4×C11C2511yescharacteristic
852C22⋊D11—22no—
853C22⋊D11—22no—
854C22⋊D11—22no—
855C22⋊D11—22no—
856C22⋊D11—41no—
857C22⋊D11—41no—
858C22⋊D11—42no—
859C22⋊D11—42no—
860C22⋊D11—42no—
861C22⋊D11—42no—
862C22⋊D11—42no—
863C22⋊D11—42no—
864C22⋊D11—81no—
865C22⋊D11—81no—
866C22⋊D11—81no—
867C22⋊D11—81no—
868C22⋊D11—81no—
869C22⋊D11—81no—
870C22⋊D11—81no—
871C22⋊D11—81no—
872C22⋊D11—81no—
873C2×Dic11—22no—
874C2×Dic11—21no—
875C2×Dic11—21no—
876C2×Dic11—21no—
877C2×Dic11—21no—
878C2×Dic11—21no—
879C2×Dic11—41no—
880C2×Dic11—41no—
881C2×Dic11—42no—
882C2×Dic11—81no—
883C2×Dic11C22×D411yescharacteristic
884C2×Dic11C22×D411yescharacteristic
885C2×Dic11C22×D411yescharacteristic
886C2×Dic11C22×D411yescharacteristic
887D44—22no—
888D44—22no—
889D44—21no—
890D44—21no—
891D44—21no—
892D44—21no—
893D44—21no—
894D44—21no—
895D44—41no—
896D44—42no—
897D44—42no—
898D44—42no—
899D44—42no—
900D44—42no—
901D44—42no—
902D44—81no—
903D44—81no—
904D44—81no—
905D44—81no—
906C4×D11—22no—
907C4×D11—21no—
908C4×D11—21no—
909C4×D11—21no—
910C4×D11—21no—
911C4×D11—21no—
912C4×D11—21no—
913C4×D11—22no—
914C4×D11—41no—
915C4×D11—41no—
916C4×D11—41no—
917C4×D11—41no—
918C4×D11—42no—
919C4×D11—42no—
920C4×D11—42no—
921C4×D11—42no—
922C4×D11—42no—
923C4×D11—42no—
924C4×D11—42no—
925C4×D11—81no—
926C4×D11—81no—
927C4×D11—81no—
928C4×D11—81no—
929C4×D11H(5,𝔽2)12yes—
930C4×D11H(5,𝔽2)12yes—
931Dic22—22no—
932Dic22—22no—
933Dic22—21no—
934Dic22—21no—
935Dic22—41no—
936Dic22—42no—
937C8×C11—21no—
938C8×C11—21no—
939C8×C11—21no—
940C8×C11—21no—
941C11⋊C8—21no—
942C11⋊C8—21no—
943C11⋊C8—21no—
944C11⋊C8—21no—
945C2×H(5,𝔽2)—111no—
946C22×#41—111no—
947C22×#41—111no—
948C2×AGL(1,ℤ/8)—111no—
949C2×AGL(1,ℤ/8)—111no—
950C2×#135—111no—
951C2×#135—111no—
952C2×#131—111no—
953C2×#131—111no—
954#550—221no—
955#548—221no—
956#546—221no—
957#546—221no—
958#546—221no—
959D42—221no—
960D42—221no—
961D42—221no—
962#537—111no—
963#537—111no—
964#537—111no—
965#537—111no—
966#537—111no—
967#537—111no—
968#537—111no—
969#537—111no—
970#537—111no—
971#537—221no—
972#537—221no—
973#537—221no—
974#537—221no—
975#537C2×D1111yescharacteristic, complemented
976#537C2×D1111yescharacteristic, complemented
977#535—111no—
978#535—111no—
979#535—111no—
980#525—111no—
981#525—111no—
982#525—111no—
983C2×C22⋊Q8—111no—
984C2×C22⋊Q8—111no—
985C2×C22⋊Q8—221no—
986C2×#121—111no—
987C2×#121—111no—
988C2×#121—111no—
989C2×#121—111no—
990C2×#121—111no—
991C2×#121—221no—
992C2×#121—221no—
993C2×#121—221no—
994#520—111no—
995C22×C4⋊C4—111no—
996#485—111no—
997#485—111no—
998#485—111no—
999#485—111no—
1000#484—111no—
1001#484—111no—
1002#483—111no—
1003#483—111no—
1004#483—111no—
1005#483—111no—
1006#483C2×D1111yescharacteristic, complemented
1007#483C2×D1111yescharacteristic, complemented
1008#482—111no—
1009#482—111no—
1010#482—111no—
1011#482—111no—
1012#481—111no—
1013#481—111no—
1014#481—111no—
1015#481—111no—
1016#481—111no—
1017#481—111no—
1018#481—111no—
1019#481—111no—
1020#481—111no—
1021#481—111no—
1022#481—111no—
1023#481—111no—
1024#481C2×D1111yescharacteristic, complemented
1025#481C2×D1111yescharacteristic, complemented
1026#480—111no—
1027#480—111no—
1028#470—111no—
1029#470—111no—
1030#470—111no—
1031#470C2×D1111yescharacteristic, complemented
1032#469—111no—
1033#469—111no—
1034#469—111no—
1035#469—111no—
1036#469—111no—
1037#469—111no—
1038#469—111no—
1039#469C2×D1111yescharacteristic, complemented
1040#468—111no—
1041#468—111no—
1042#468—111no—
1043#468—111no—
1044#466—111no—
1045#466—111no—
1046#466—111no—
1047#466—111no—
1048#465—111no—
1049#465—111no—
1050#465—111no—
1051#465—111no—
1052#465—111no—
1053#465—111no—
1054#465—111no—
1055#465—111no—
1056#465—111no—
1057#465—111no—
1058#465C2×D1111yescharacteristic, complemented
1059#465C2×D1111yescharacteristic, complemented
1060#452—111no—
1061#452—111no—
1062#452—111no—
1063#452—111no—
1064#452C2×D1111yescharacteristic, complemented
1065#452C2×D1111yescharacteristic, complemented
1066#451—111no—
1067#450—111no—
1068#450—111no—
1069#450—111no—
1070#450—111no—
1071#450—111no—
1072#449—111no—
1073#449—111no—
1074#449—111no—
1075#449—111no—
1076#449—111no—
1077#449—111no—
1078#449—111no—
1079#449—111no—
1080#449C2×D1111yescharacteristic, complemented
1081#449C2×D1111yescharacteristic, complemented
1082#448—111no—
1083#448—111no—
1084#448—111no—
1085#447—111no—
1086#447—111no—
1087#447—111no—
1088#447—111no—
1089#447—111no—
1090#447—111no—
1091#447—111no—
1092#428—111no—
1093#428—111no—
1094C2×#106—111no—
1095C2×#106—111no—
1096#417—111no—
1097#417—111no—
1098#417—111no—
1099#417—111no—
1100#416—111no—
1101#416—111no—
1102C2×#102—111no—
1103C2×#102—111no—
1104#408—111no—
1105#408—111no—
1106#408—111no—
1107#408—111no—
1108#408—111no—
1109#408C2×D1111yescharacteristic, complemented
1110#407—111no—
1111#407—111no—
1112#407—111no—
1113C2×C22⋊C8—111no—
1114C2×C22⋊C8—111no—
1115C2×C22⋊C8—111no—
1116C22×C11—21no—
1117C22×C11—21no—
1118C22×C11—21no—
1119C22×C11—21no—
1120C22×C11—21no—
1121C22×C11—21no—
1122C22×C11—21no—
1123C22×C11—21no—
1124C22×C11—21no—
1125C22×C11—41no—
1126C22×C11—41no—
1127C22×C11—41no—
1128C22×C11—41no—
1129C22×C11—41no—
1130C22×C11—41no—
1131C22×C11C23×D411yescharacteristic
1132C2×D11—21no—
1133C2×D11—21no—
1134C2×D11—21no—
1135C2×D11—21no—
1136C2×D11—21no—
1137C2×D11—21no—
1138C2×D11—21no—
1139C2×D11—21no—
1140C2×D11—21no—
1141C2×D11—21no—
1142C2×D11—44no—
1143C2×D11—41no—
1144C2×D11—41no—
1145C2×D11—41no—
1146C2×D11—41no—
1147C2×D11—41no—
1148C2×D11—41no—
1149C2×D11—41no—
1150C2×D11—41no—
1151C2×D11—41no—
1152C2×D11—82no—
1153C2×D11—82no—
1154C2×D11—84no—
1155C2×D11—162no—
1156C2×D11—162no—
1157C2×D11—162no—
1158C2×D11#53412yes—
1159C2×D11#57712yes—
1160C4×C11—21no—
1161C4×C11—21no—
1162C4×C11—21no—
1163C4×C11—41no—
1164C4×C11—41no—
1165C4×C11—41no—
1166C4×C11—41no—
1167C4×C11—41no—
1168C4×C11—41no—
1169C4×C11C2×H(5,𝔽2)11yescharacteristic
1170C4×C11C2×H(5,𝔽2)11yescharacteristic
1171Dic11—21no—
1172Dic11—21no—
1173Dic11—21no—
1174Dic11—41no—
1175Dic11—41no—
1176Dic11—41no—
1177Dic11—41no—
1178Dic11—41no—
1179Dic11#53412yes—
1180H(5,𝔽2)—442no—
1181H(5,𝔽2)—442no—
1182C2×#41—111no—
1183C2×#41—111no—
1184C2×#41—111no—
1185C2×#41—111no—
1186C2×#41—111no—
1187C2×#41—111no—
1188C2×#41—111no—
1189C2×#41—111no—
1190C2×#41—111no—
1191C2×#41—111no—
1192C2×#41—111no—
1193C2×#41—111no—
1194C2×#41—221no—
1195C2×#41—221no—
1196C2×#41—221no—
1197C2×#41—442no—
1198C2×#41—442no—
1199C2×#41—442no—
1200C2×#41—442no—
1201C2×#41C22×D1111yescharacteristic
1202C2×#41C22×D1111yescharacteristic
1203C2×#41C22×D1111yescharacteristic
1204C22×Q8—111no—
1205C22×Q8—111no—
1206C22×D4—111no—
1207C22×D4—111no—
1208C22×D4—111no—
1209C22×D4—111no—
1210C22×D4—111no—
1211C22×D4—111no—
1212C22×D4—111no—
1213C22×D4—221no—
1214C22×D4—221no—
1215C22×D4—221no—
1216C22×D4—221no—
1217C22×D4—221no—
1218C22×D4—221no—
1219C22×D4—221no—
1220C22×D4—221no—
1221C22×D4—221no—
1222C23×C4—111no—
1223C23×C4—111no—
1224C23×C4—111no—
1225C23×C4—221no—
1226C23×C4—221no—
1227AGL(1,ℤ/8)—442no—
1228AGL(1,ℤ/8)—442no—
1229#135—442no—
1230#135—442no—
1231C2×Q16—111no—
1232C2×Q16C22×D1111yescharacteristic
1233C2×SD16—111no—
1234C2×SD16—111no—
1235C2×SD16—111no—
1236C2×SD16—111no—
1237C2×SD16—111no—
1238C2×SD16—111no—
1239C2×SD16C22×D1111yescharacteristic
1240C2×SD16C22×D1111yescharacteristic
1241C2×D8—111no—
1242C2×D8—111no—
1243C2×D8—111no—
1244C2×D8—111no—
1245C2×D8—111no—
1246C2×D8C22×D1111yescharacteristic
1247#131—442no—
1248#131—442no—
1249C2×M16—111no—
1250C2×M16—111no—
1251C2×M16—111no—
1252C2×M16—111no—
1253C2×M16—111no—
1254C2×M16C22×D1111yescharacteristic
1255C22×C8—111no—
1256C22×C8—111no—
1257C22×C8—111no—
1258C22×C8—111no—
1259C22×C8—111no—
1260C22×C8C22×D1111yescharacteristic
1261#127—221no—
1262#127—221no—
1263#127—221no—
1264#124—221no—
1265#124—221no—
1266#124—221no—
1267#123—221no—
1268#123—221no—
1269#123—221no—
1270C22⋊Q8—21no—
1271C22⋊Q8—21no—
1272C22⋊Q8—111no—
1273C22⋊Q8—111no—
1274C22⋊Q8—111no—
1275C22⋊Q8—111no—
1276C22⋊Q8—111no—
1277C22⋊Q8—111no—
1278C22⋊Q8—111no—
1279C22⋊Q8—111no—
1280C22⋊Q8—221no—
1281C22⋊Q8—221no—
1282C22⋊Q8—221no—
1283C22⋊Q8—221no—
1284C22⋊Q8—221no—
1285C22⋊Q8—221no—
1286C22⋊Q8—221no—
1287C22⋊Q8—221no—
1288C22⋊Q8—221no—
1289C22⋊Q8—221no—
1290C22⋊Q8—221no—
1291C22⋊Q8—221no—
1292C22⋊Q8—221no—
1293C22⋊Q8C22×D1111yescharacteristic
1294C22⋊Q8C22×D1111yescharacteristic
1295C22⋊Q8C22×D1111yescharacteristic
1296C22⋊Q8C22×D1111yescharacteristic
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—111no—
1304#121—111no—
1305#121—111no—
1306#121—111no—
1307#121—111no—
1308#121—111no—
1309#121—111no—
1310#121—111no—
1311#121—111no—
1312#121—111no—
1313#121—111no—
1314#121—111no—
1315#121—111no—
1316#121—111no—
1317#121—111no—
1318#121—111no—
1319#121—221no—
1320#121—221no—
1321#121—221no—
1322#121—221no—
1323#121—221no—
1324#121—221no—
1325#121—221no—
1326#121—221no—
1327#121—221no—
1328#121—221no—
1329#121—221no—
1330#121—221no—
1331#121—221no—
1332#121—221no—
1333#121—221no—
1334#121—221no—
1335#121—221no—
1336#121—221no—
1337#121—221no—
1338#121—221no—
1339#121—221no—
1340#121—221no—
1341#121—221no—
1342#121—221no—
1343#121—221no—
1344#121—221no—
1345#121—221no—
1346#121—221no—
1347#121—221no—
1348#121—221no—
1349#121—221no—
1350#121—221no—
1351#121—221no—
1352#121—221no—
1353#121—221no—
1354#121—221no—
1355#121—221no—
1356#121C22×D1111yescharacteristic
1357#121C22×D1111yescharacteristic
1358#121C22×D1111yescharacteristic
1359#121C22×D1111yescharacteristic
1360#120—221no—
1361#120—221no—
1362#120—221no—
1363#120—221no—
1364#120—221no—
1365#120—221no—
1366#120—221no—
1367#120—221no—
1368#120—221no—
1369C4×Q8—221no—
1370C4×D4—221no—
1371C4×D4—221no—
1372C4×D4—221no—
1373C4×D4—221no—
1374C4×D4—221no—
1375C4×D4—221no—
1376C4×D4—221no—
1377C4×D4—221no—
1378C4×D4—221no—
1379#117—111no—
1380#117—111no—
1381#117—111no—
1382C2×C4⋊C4—111no—
1383C2×C4⋊C4—111no—
1384C2×C4⋊C4—111no—
1385C2×C4⋊C4—111no—
1386C2×C4⋊C4—111no—
1387C2×C4⋊C4—111no—
1388C2×C4⋊C4—111no—
1389C2×C4⋊C4—221no—
1390C2×C4⋊C4—221no—
1391C2×C4⋊C4—221no—
1392C2×C4⋊C4—221no—
1393C2×C4⋊C4—221no—
1394C2×C4⋊C4C22×D1111yescharacteristic
1395C2×C4⋊C4C22×D1111yescharacteristic
1396C2×C22⋊C4—221no—
1397C2×C22⋊C4—221no—
1398C2×C22⋊C4—221no—
1399C2×C22⋊C4—221no—
1400C2×C22⋊C4—221no—
1401C2×C22⋊C4—221no—
1402C2×C22⋊C4—221no—
1403#107—111no—
1404#107—111no—
1405#107—111no—
1406#107—111no—
1407#106—111no—
1408#106—111no—
1409#106—111no—
1410#106—111no—
1411#106—111no—
1412#106—111no—
1413#106—111no—
1414#106—111no—
1415#106C22×D1111yescharacteristic
1416#106C22×D1111yescharacteristic
1417#106C22×D1111yescharacteristic
1418#106C22×D1111yescharacteristic
1419#103—111no—
1420#103—111no—
1421#103—111no—
1422#103—111no—
1423#103—111no—
1424#103—111no—
1425#103—111no—
1426#103—111no—
1427#103C22×D1111yescharacteristic
1428#103C22×D1111yescharacteristic
1429#103C22×D1111yescharacteristic
1430#103C22×D1111yescharacteristic
1431#102—111no—
1432#102—111no—
1433#102—111no—
1434#102—111no—
1435#102—111no—
1436#102—111no—
1437#102—111no—
1438#102—111no—
1439#102—111no—
1440#102—111no—
1441#102—111no—
1442#102—111no—
1443#102—111no—
1444#102—111no—
1445#102—111no—
1446#102—111no—
1447#102C22×D1111yescharacteristic
1448#102C22×D1111yescharacteristic
1449#102C22×D1111yescharacteristic
1450#102C22×D1111yescharacteristic
1451C22⋊C8—111no—
1452C22⋊C8—111no—
1453C22⋊C8—111no—
1454C22⋊C8—111no—
1455C22⋊C8—111no—
1456C22⋊C8—111no—
1457C22⋊C8—111no—
1458C22⋊C8—111no—
1459C22⋊C8—111no—
1460C22⋊C8—111no—
1461C22⋊C8—111no—
1462C22⋊C8—111no—
1463C22⋊C8C22×D1111yescharacteristic
1464C22⋊C8C22×D1111yescharacteristic
1465C22⋊C8C22×D1111yescharacteristic
1466C22⋊C8C22×D1111yescharacteristic
1467C2×C11—41no—
1468C2×C11—41no—
1469C2×C11—41no—
1470C2×C11—81no—
1471C2×C11—81no—
1472C2×C11C2×#53411yescharacteristic
1473C2×C11C2×#57711yescharacteristic
1474C2×C11#358511yescharacteristic
1475D11—22no—
1476D11—22no—
1477D11—41no—
1478D11—41no—
1479D11—81no—
1480D11—81no—
1481D11—81no—
1482C24—111no—
1483C24—111no—
1484C24—111no—
1485C24—221no—
1486C24—221no—
1487C24—221no—
1488C24—221no—
1489#41—41no—
1490#41—41no—
1491#41—41no—
1492#41—41no—
1493#41—41no—
1494#41—41no—
1495#41—222no—
1496#41—222no—
1497#41—222no—
1498#41—222no—
1499#41—222no—
1500#41—222no—
1501#41—222no—
1502#41—222no—
1503#41—222no—
1504#41—222no—
1505#41—441no—
1506#41—441no—
1507#41—441no—
1508#41—441no—
1509#41—444no—
1510#41—444no—
1511#41—442no—
1512#41—442no—
1513#41—442no—
1514#41—444no—
1515#41—442no—
1516#41—441no—
1517#41—441no—
1518C2×Q8—111no—
1519C2×Q8—111no—
1520C2×Q8—111no—
1521C2×Q8—111no—
1522C2×Q8—221no—
1523C2×Q8—441no—
1524C2×Q8—441no—
1525C2×Q8—442no—
1526C2×Q8D4×D1111yescharacteristic
1527C2×Q8C23×D1111yescharacteristic
1528C2×Q8C23×D1111yescharacteristic
1529C2×D4—21no—
1530C2×D4—21no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—21no—
1534C2×D4—21no—
1535C2×D4—111no—
1536C2×D4—111no—
1537C2×D4—111no—
1538C2×D4—111no—
1539C2×D4—111no—
1540C2×D4—111no—
1541C2×D4—111no—
1542C2×D4—111no—
1543C2×D4—111no—
1544C2×D4—111no—
1545C2×D4—111no—
1546C2×D4—111no—
1547C2×D4—221no—
1548C2×D4—221no—
1549C2×D4—221no—
1550C2×D4—221no—
1551C2×D4—221no—
1552C2×D4—221no—
1553C2×D4—221no—
1554C2×D4—221no—
1555C2×D4—221no—
1556C2×D4—222no—
1557C2×D4—222no—
1558C2×D4—221no—
1559C2×D4—221no—
1560C2×D4—221no—
1561C2×D4—221no—
1562C2×D4—221no—
1563C2×D4—221no—
1564C2×D4—221no—
1565C2×D4—221no—
1566C2×D4—221no—
1567C2×D4—221no—
1568C2×D4—221no—
1569C2×D4—221no—
1570C2×D4—221no—
1571C2×D4—221no—
1572C2×D4—221no—
1573C2×D4—221no—
1574C2×D4—441no—
1575C2×D4—441no—
1576C2×D4—444no—
1577C2×D4—441no—
1578C2×D4—441no—
1579C2×D4—441no—
1580C2×D4—441no—
1581C2×D4—442no—
1582C2×D4—442no—
1583C2×D4—442no—
1584C2×D4—444no—
1585C2×D4—444no—
1586C2×D4—444no—
1587C2×D4—882no—
1588C2×D4—882no—
1589C2×D4—882no—
1590C2×D4—882no—
1591C2×D4—882no—
1592C2×D4D4×D1111yescharacteristic
1593C2×D4D4×D1111yescharacteristic
1594C2×D4D4×D1111yescharacteristic
1595C2×D4C23×D1111yescharacteristic
1596C2×D4C23×D1111yescharacteristic
1597C22×C4—21no—
1598C22×C4—21no—
1599C22×C4—21no—
1600C22×C4—21no—
1601C22×C4—111no—
1602C22×C4—111no—
1603C22×C4—111no—
1604C22×C4—111no—
1605C22×C4—111no—
1606C22×C4—111no—
1607C22×C4—111no—
1608C22×C4—111no—
1609C22×C4—111no—
1610C22×C4—111no—
1611C22×C4—111no—
1612C22×C4—111no—
1613C22×C4—111no—
1614C22×C4—222no—
1615C22×C4—222no—
1616C22×C4—221no—
1617C22×C4—221no—
1618C22×C4—221no—
1619C22×C4—221no—
1620C22×C4—221no—
1621C22×C4—221no—
1622C22×C4—221no—
1623C22×C4—221no—
1624C22×C4—221no—
1625C22×C4—221no—
1626C22×C4—221no—
1627C22×C4—221no—
1628C22×C4—221no—
1629C22×C4—441no—
1630C22×C4—441no—
1631C22×C4—441no—
1632C22×C4—441no—
1633C22×C4—444no—
1634C22×C4—882no—
1635C22×C4C23×D1111yescharacteristic
1636C22×C4C23×D1111yescharacteristic
1637C22×C4C23×D1111yescharacteristic
1638Q16—41no—
1639Q16—441no—
1640SD16—41no—
1641SD16—41no—
1642SD16—441no—
1643SD16—441no—
1644SD16—441no—
1645SD16—441no—
1646SD16—441no—
1647SD16—441no—
1648D8—41no—
1649D8—441no—
1650D8—441no—
1651D8—441no—
1652D8—441no—
1653D8—441no—
1654M16—41no—
1655M16—222no—
1656M16—222no—
1657M16—441no—
1658M16—441no—
1659M16—441no—
1660C2×C8—41no—
1661C2×C8—111no—
1662C2×C8—111no—
1663C2×C8—111no—
1664C2×C8—111no—
1665C2×C8—222no—
1666C2×C8—222no—
1667C2×C8—441no—
1668C2×C8—441no—
1669C2×C8—441no—
1670C2×C8C23×D1111yescharacteristic
1671C2×C8C23×D1111yescharacteristic
1672C2×C8C23×D1111yescharacteristic
1673C2×C8C23×D1111yescharacteristic
1674C4⋊C4—21no—
1675C4⋊C4—21no—
1676C4⋊C4—21no—
1677C4⋊C4—21no—
1678C4⋊C4—21no—
1679C4⋊C4—21no—
1680C4⋊C4—111no—
1681C4⋊C4—111no—
1682C4⋊C4—111no—
1683C4⋊C4—111no—
1684C4⋊C4—221no—
1685C4⋊C4—221no—
1686C4⋊C4—221no—
1687C4⋊C4—221no—
1688C4⋊C4—221no—
1689C4⋊C4—221no—
1690C4⋊C4—221no—
1691C4⋊C4—221no—
1692C4⋊C4—221no—
1693C4⋊C4—221no—
1694C4⋊C4—221no—
1695C4⋊C4—221no—
1696C4⋊C4—221no—
1697C4⋊C4—221no—
1698C4⋊C4—221no—
1699C4⋊C4C23×D1111yescharacteristic
1700C4⋊C4C23×D1111yescharacteristic
1701C4⋊C4C23×D1111yescharacteristic
1702C4⋊C4C23×D1111yescharacteristic
1703C22⋊C4—21no—
1704C22⋊C4—21no—
1705C22⋊C4—21no—
1706C22⋊C4—21no—
1707C22⋊C4—21no—
1708C22⋊C4—21no—
1709C22⋊C4—21no—
1710C22⋊C4—21no—
1711C22⋊C4—221no—
1712C22⋊C4—221no—
1713C22⋊C4—221no—
1714C22⋊C4—221no—
1715C22⋊C4—221no—
1716C22⋊C4—221no—
1717C22⋊C4—221no—
1718C22⋊C4—221no—
1719C22⋊C4—221no—
1720C22⋊C4—221no—
1721C22⋊C4—221no—
1722C22⋊C4—221no—
1723C22⋊C4—221no—
1724C22⋊C4—221no—
1725C22⋊C4—221no—
1726C22⋊C4—221no—
1727C22⋊C4—221no—
1728C22⋊C4—221no—
1729C22⋊C4—221no—
1730C22⋊C4—221no—
1731C22⋊C4—221no—
1732C22⋊C4—221no—
1733C22⋊C4—221no—
1734C22⋊C4—221no—
1735C22⋊C4—221no—
1736C22⋊C4—221no—
1737C22⋊C4—221no—
1738C42—221no—
1739C42—221no—
1740C42—221no—
1741C11#6076511yescharacteristic, complemented, Sylow
1742C23—21no—
1743C23—21no—
1744C23—111no—
1745C23—111no—
1746C23—111no—
1747C23—111no—
1748C23—222no—
1749C23—222no—
1750C23—222no—
1751C23—222no—
1752C23—221no—
1753C23—221no—
1754C23—221no—
1755C23—441no—
1756C23—441no—
1757C23—441no—
1758C23—441no—
1759C23—441no—
1760C23—442no—
1761C23—442no—
1762C23—442no—
1763C23—442no—
1764C23—442no—
1765C23—442no—
1766C23—881no—
1767C23—881no—
1768C23—881no—
1769C23—881no—
1770C23—881no—
1771C23—881no—
1772C23C2×D4×D1111yescharacteristic
1773C23C2×D4×D1111yescharacteristic
1774C23C2×D4×D1111yescharacteristic
1775Q8—21no—
1776Q8—21no—
1777Q8—21no—
1778Q8—21no—
1779Q8—41no—
1780Q8—222no—
1781Q8—222no—
1782Q8—221no—
1783Q8—221no—
1784Q8—441no—
1785Q8—442no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—41no—
1791D4—41no—
1792D4—41no—
1793D4—42no—
1794D4—42no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—222no—
1800D4—222no—
1801D4—222no—
1802D4—222no—
1803D4—222no—
1804D4—222no—
1805D4—221no—
1806D4—221no—
1807D4—221no—
1808D4—221no—
1809D4—221no—
1810D4—221no—
1811D4—441no—
1812D4—442no—
1813D4—442no—
1814D4—442no—
1815D4—442no—
1816D4—442no—
1817D4—442no—
1818D4—442no—
1819D4—441no—
1820D4—441no—
1821D4—442no—
1822D4—442no—
1823D4—442no—
1824D4—442no—
1825D4—442no—
1826D4—881no—
1827D4—881no—
1828D4—881no—
1829D4—881no—
1830D4—881no—
1831D4—881no—
1832D4—881no—
1833D4—881no—
1834D4—881no—
1835D4—881no—
1836D4—881no—
1837D4—881no—
1838D4—881no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—21no—
1845C2×C4—21no—
1846C2×C4—21no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—42no—
1852C2×C4—42no—
1853C2×C4—81no—
1854C2×C4—81no—
1855C2×C4—111no—
1856C2×C4—112no—
1857C2×C4—112no—
1858C2×C4—111no—
1859C2×C4—111no—
1860C2×C4—111no—
1861C2×C4—222no—
1862C2×C4—222no—
1863C2×C4—222no—
1864C2×C4—221no—
1865C2×C4—221no—
1866C2×C4—221no—
1867C2×C4—221no—
1868C2×C4—221no—
1869C2×C4—221no—
1870C2×C4—221no—
1871C2×C4—221no—
1872C2×C4—221no—
1873C2×C4—221no—
1874C2×C4—221no—
1875C2×C4—441no—
1876C2×C4—441no—
1877C2×C4—441no—
1878C2×C4—441no—
1879C2×C4—442no—
1880C2×C4—442no—
1881C2×C4—442no—
1882C2×C4—442no—
1883C2×C4—442no—
1884C2×C4—442no—
1885C2×C4—442no—
1886C2×C4—442no—
1887C2×C4—441no—
1888C2×C4—441no—
1889C2×C4—881no—
1890C2×C4—881no—
1891C2×C4—881no—
1892C2×C4—881no—
1893C2×C4—881no—
1894C2×C4C2×D4×D1111yescharacteristic
1895C2×C4C2×D4×D1111yescharacteristic
1896C2×C4C2×D4×D1111yescharacteristic
1897C2×C4C24×D1111yescharacteristic
1898C8—21no—
1899C8—21no—
1900C8—21no—
1901C8—21no—
1902C8—221no—
1903C8—221no—
1904C8—221no—
1905C8—221no—
1906C22—21no—
1907C22—21no—
1908C22—21no—
1909C22—21no—
1910C22—21no—
1911C22—21no—
1912C22—21no—
1913C22—21no—
1914C22—21no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—112no—
1922C22—112no—
1923C22—221no—
1924C22—221no—
1925C22—221no—
1926C22—221no—
1927C22—221no—
1928C22—221no—
1929C22—221no—
1930C22—221no—
1931C22—221no—
1932C22—221no—
1933C22—444no—
1934C22—441no—
1935C22—441no—
1936C22—441no—
1937C22—441no—
1938C22—441no—
1939C22—441no—
1940C22—441no—
1941C22—441no—
1942C22—441no—
1943C22—882no—
1944C22—882no—
1945C22—884no—
1946C22—1762no—
1947C22—1762no—
1948C22—1762no—
1949C22C22×D4×D1111yescharacteristic
1950C4—21no—
1951C4—21no—
1952C4—21no—
1953C4—41no—
1954C4—41no—
1955C4—41no—
1956C4—41no—
1957C4—41no—
1958C4—41no—
1959C4—112no—
1960C4—221no—
1961C4—221no—
1962C4—221no—
1963C4—441no—
1964C4—441no—
1965C4—441no—
1966C4—441no—
1967C4—441no—
1968C4D11×H(5,𝔽2)11yescharacteristic
1969C4D11×H(5,𝔽2)11yescharacteristic
1970C2—41no—
1971C2—41no—
1972C2—41no—
1973C2—81no—
1974C2—81no—
1975C2—222no—
1976C2—222no—
1977C2—441no—
1978C2—441no—
1979C2—881no—
1980C2—881no—
1981C2—881no—
1982C2D11×#53411yescharacteristic
1983C2D11×#57711yescharacteristic
1984C2#1308339411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3204C2
socleC22×C11C23×D4
hypercenter#3204D11
hypocenterC11#60765
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3204

Complements

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

NH ≅ G/Ntype
1. #13082280C2semidirect
2. D11×#537C2semidirect
3. #13079526C2semidirect
4. #13079524C2semidirect
5. #13079522C2semidirect
6. #13079473C2semidirect
7. #13079470C2semidirect
8. #13079465C2semidirect
9. #13079462C2semidirect
10. #13079447C2semidirect
11. #13079444C2semidirect
12. #13079415C2semidirect
13. #13079412C2semidirect
14. #13079382C2semidirect
15. #13079379C2semidirect
16. #13079372C2semidirect
17. #13079368C2semidirect
18. #13078606C2semidirect
19. #13078600C2semidirect
20. #13078540C2semidirect
21. D11×#481C2semidirect
22. #13078293C2semidirect
23. #13078289C2semidirect
24. #13078280C2semidirect
25. #13078273C2semidirect
26. #13077924C2semidirect
27. #13077918C2semidirect
28. #13077865C2semidirect
29. #13077837C2semidirect
30. #13077064C2semidirect
31. C11×#3204C2semidirect
32. C2×#67042C22semidirect
34. C2×#41×D11C22semidirect
35. C11×#537C22semidirect
36. C11×#537C22semidirect
37. #10623364C22semidirect
38. #10623364C22semidirect
39. #10623361C22semidirect
41. C2×#66972C22semidirect
42. C2×#66969C22semidirect
43. C2×#66967C22semidirect
44. C2×#66964C22semidirect
45. C2×#66960C22semidirect
46. C2×#66954C22semidirect
51. #10623160C22semidirect
52. #10623160C22semidirect
53. #10623160C22semidirect
57. D11×C22⋊Q8C22semidirect
58. D11×C22⋊Q8C22semidirect
66. #10623139C22semidirect
67. #10623138C22semidirect
68. #10623138C22semidirect
74. D11×#121C22semidirect
75. D11×#121C22semidirect
79. #10623041C22semidirect
81. #10623035C22semidirect
82. C2×C4⋊C4×D11C22semidirect
83. C11×#483C22semidirect
84. C11×#483C22semidirect
85. C11×#481C22semidirect
86. C11×#481C22semidirect
87. C11×#470C22semidirect
88. C11×#469C22semidirect
89. C11×#465C22semidirect
90. C11×#465C22semidirect
91. C11×#452C22semidirect
92. C11×#452C22semidirect
93. C11×#449C22semidirect
94. C11×#449C22semidirect
95. C11×#408C22semidirect
96. #10622852C22semidirect
97. #10622851C22semidirect
98. #10622851C22semidirect
99. #10622851C22semidirect
100. #10622847C22semidirect
101. #10622802C22semidirect
102. #10622800C22semidirect
103. #10622799C22semidirect
104. #10622787C22semidirect
105. #10622785C22semidirect
106. #10622784C22semidirect
107. #10622783C22semidirect
108. #10622782C22semidirect
109. #10622782C22semidirect
110. #10622770C22semidirect
111. #10622769C22semidirect
112. #10622769C22semidirect
113. #10622748C22semidirect
114. #10622747C22semidirect
115. #10622739C22semidirect
116. #10622728C22semidirect
117. #10622727C22semidirect
118. C2×(C2×D11)⋊C8C22semidirect
119. #10622665C22semidirect
120. #10622662C22semidirect
121. #10622661C22semidirect
122. #10622661C22semidirect
123. #10622660C22semidirect
124. #10622659C22semidirect
125. #10622658C22semidirect
126. #10622656C22semidirect
127. #10622654C22semidirect
128. #10622652C22semidirect
129. #10622652C22semidirect
130. #10622651C22semidirect
131. #10622650C22semidirect
132. #10622649C22semidirect
133. #10622648C22semidirect
134. #10622647C22semidirect
135. #10622584C22semidirect
136. #10622581C22semidirect
137. #10622581C22semidirect
138. #10622580C22semidirect
139. #10622480C22semidirect
140. #10622479C22semidirect
141. #10622478C22semidirect
142. #10622478C22semidirect
143. #10622477C22semidirect
144. #10622477C22semidirect
145. #10622476C22semidirect
146. #10622476C22semidirect
147. #10622476C22semidirect
148. #10622476C22semidirect
149. #10622476C22semidirect
150. #10622475C22semidirect
151. #10622474C22semidirect
152. #10622474C22semidirect
153. D11×#106C22semidirect
154. D11×#106C22semidirect
155. #10622429C22semidirect
156. #10622427C22semidirect
157. #10622424C22semidirect
158. #10622423C22semidirect
159. #10622422C22semidirect
160. #10622422C22semidirect
161. #10622420C22semidirect
162. #10622420C22semidirect
163. #10622420C22semidirect
164. #10622419C22semidirect
165. #10622419C22semidirect
166. #10622418C22semidirect
167. #10622417C22semidirect
168. #10622416C22semidirect
169. #10622416C22semidirect
170. #10622416C22semidirect
171. #10622397C22semidirect
172. #10622395C22semidirect
173. #10622395C22semidirect
174. #10622393C22semidirect
175. #10622390C22semidirect
176. #10622390C22semidirect
177. #10622390C22semidirect
178. #10622389C22semidirect
179. #10622388C22semidirect
180. #10622386C22semidirect
181. #10622386C22semidirect
182. #10622386C22semidirect
183. #10622385C22semidirect
184. #10622384C22semidirect
185. D11×#102C22semidirect
186. D11×#102C22semidirect
187. #10622350C22semidirect
188. #10622349C22semidirect
189. #10622348C22semidirect
190. #10622347C22semidirect
191. #10622347C22semidirect
192. #10622345C22semidirect
193. #10622344C22semidirect
194. #10622340C22semidirect
195. #10622340C22semidirect
196. #10622340C22semidirect
197. #10622340C22semidirect
198. #10622339C22semidirect
199. #10622339C22semidirect
200. D11×C22⋊C8C22semidirect
201. D11×C22⋊C8C22semidirect
202. #10622336C22semidirect
755. #3204D11semidirect
975. #537C2×D11semidirect
976. #537C2×D11semidirect
1006. #483C2×D11semidirect
1007. #483C2×D11semidirect
1024. #481C2×D11semidirect
1025. #481C2×D11semidirect
1031. #470C2×D11semidirect
1039. #469C2×D11semidirect
1058. #465C2×D11semidirect
1059. #465C2×D11semidirect
1064. #452C2×D11semidirect
1065. #452C2×D11semidirect
1080. #449C2×D11semidirect
1081. #449C2×D11semidirect
1109. #408C2×D11semidirect
1741. C11#60765semidirect

Maximal subgroups

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

subgroupindex
#130822802
D11×#5372
#130795262
#130795242
#130795222
#130794732
#130794702
#130794652
#130794622
#130794472
#130794442
#130794152
#130794122
#130793822
#130793792
#130793722
#130793682
#130786062
#130786002
#130785402
D11×#4812
#130782932
#130782892
#130782802
#130782732
#130779242
#130779182
#130778652
#130778372
#130770642
C11×#32042
#6076511