Finite Group Databasebeta

← #15639349

Subgroups — #15639349

Order 2816.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082913C211yesmaximal, characteristic, complemented
2#13082249C211yesmaximal, characteristic, complemented
3#13080842C211yesmaximal, characteristic, complemented
4#13080838C211yesmaximal, characteristic, complemented
5#13080755C211yesmaximal, characteristic, complemented
6#13080695C211yesmaximal, characteristic, complemented
7#13080647C211yesmaximal, characteristic, complemented
8#13080632C211yesmaximal, characteristic, complemented
9#13080464C211yesmaximal, characteristic, complemented
10#13080438C211yesmaximal, characteristic, complemented
11#13080316C211yesmaximal, characteristic, complemented
12#13080305C211yesmaximal, characteristic, complemented
13#13080244C211yesmaximal, characteristic, complemented
14#13080213C211yesmaximal, characteristic, complemented
15#13080148C211yesmaximal, characteristic, complemented
16#13080119C211yesmaximal, characteristic, complemented
17#13080118C211yesmaximal, characteristic, complemented
18#13080104C211yesmaximal, characteristic, complemented
19#13079716C211yesmaximal, characteristic, complemented
20#13079686C211yesmaximal, characteristic, complemented
21#13079487C211yesmaximal, characteristic, complemented
22#13079474C211yesmaximal, characteristic, complemented
23#13079404C211yesmaximal, characteristic, complemented
24#13078864C211yesmaximal, characteristic, complemented
25#13078803C211yesmaximal, characteristic, complemented
26#13077924C211yesmaximal, characteristic, complemented
27#13077890C211yesmaximal, characteristic, complemented
28#13077846C211yesmaximal, characteristic, complemented
29C2×#10622659C211yesmaximal, characteristic, complemented
30#13077666C211yesmaximal, characteristic, complemented
31C11×#3196C211yesmaximal, characteristic, complemented
32C2×#67042C2211yescharacteristic
33C23×D44C2211yescharacteristic
34C11×#525C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic, complemented
36#10623361C2211yescharacteristic
37#10623348C2211yescharacteristic, complemented
38Q8×C22⋊D11C2211yescharacteristic, complemented
39C22×#4325C2211yescharacteristic, complemented
40C22×#4325C2211yescharacteristic, complemented
41#10623322C2211yescharacteristic
42#10623322C2211yescharacteristic, complemented
43C2×#66972C2211yescharacteristic, complemented
44C2×#66971C2211yescharacteristic, complemented
45C2×#66967C2211yescharacteristic, complemented
46C2×SD16×D11C2211yescharacteristic, complemented
47C2×#66961C2211yescharacteristic, complemented
48C2×#66961C2211yescharacteristic, complemented
49#10623184—21no—
50#10623184—21no—
51#10623178—21no—
52#10623177—21no—
53#10623174C2211yescharacteristic, complemented
54#10623172C2211yescharacteristic, complemented
55#10623171—21no—
56#10623170C2211yescharacteristic, complemented
57#10623169—21no—
58#10623164C2211yescharacteristic, complemented
59#10623162C2211yescharacteristic, complemented
60#10623161C2211yescharacteristic
61#10623161C2211yescharacteristic
62#10623161C2211yescharacteristic
63#10623161C2211yescharacteristic
64#10623160C2211yescharacteristic, complemented
65#10623159C2211yescharacteristic, complemented
66#10623156C2211yescharacteristic, complemented
67#10623140C2211yescharacteristic
68#10623140C2211yescharacteristic
69#10623140C2211yescharacteristic
70#10623140C2211yescharacteristic
71D11×#120—21no—
72D11×#120—21no—
73#10623081—21no—
74#10623081—21no—
75D4×D44—21no—
76D4×D44—21no—
77#10623056C2211yescharacteristic
78#10623052C2211yescharacteristic
79#10623045—21no—
80#10623045C2211yescharacteristic, complemented
81#10623042—21no—
82#10623042C2211yescharacteristic, complemented
83#10623025—21no—
84#10623025—21no—
85C11×#485C2211yescharacteristic, complemented
86C11×#485C2211yescharacteristic, complemented
87C11×#484C2211yescharacteristic, complemented
88C11×#481C2211yescharacteristic, complemented
89C11×#470C2211yescharacteristic, complemented
90C11×#470C2211yescharacteristic, complemented
91C11×#468C2211yescharacteristic, complemented
92C11×#468C2211yescharacteristic, complemented
93C11×#452C2211yescharacteristic, complemented
94C11×#452C2211yescharacteristic, complemented
95C11×#451C2211yescharacteristic, complemented
96C11×#448C2211yescharacteristic, complemented
97C11×#407C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622851C2211yescharacteristic, complemented
100C2×C22⋊(C11⋊C8)C2211yescharacteristic, complemented
101#10622804C2211yescharacteristic, complemented
102#10622803C2211yescharacteristic, complemented
103#10622800C2211yescharacteristic, complemented
104#10622800C2211yescharacteristic, complemented
105#10622798C2211yescharacteristic, complemented
106#10622798C2211yescharacteristic, complemented
107#10622789C2211yescharacteristic, complemented
108#10622788C2211yescharacteristic, complemented
109#10622782C2211yescharacteristic, complemented
110#10622782C2211yescharacteristic, complemented
111#10622776C2211yescharacteristic, complemented
112#10622776C2211yescharacteristic, complemented
113#10622744C2211yescharacteristic, complemented
114#10622744C2211yescharacteristic, complemented
115#10622741C2211yescharacteristic, complemented
116#10622741C2211yescharacteristic, complemented
117#10622740C2211yescharacteristic, complemented
118#10622740C2211yescharacteristic, complemented
119#10622664C2211yescharacteristic, complemented
120#10622661C2211yescharacteristic, complemented
121#10622660C2211yescharacteristic, complemented
122#10622659C2211yescharacteristic
123#10622659C2211yescharacteristic
124#10622659C2211yescharacteristic, complemented
125#10622659C2211yescharacteristic, complemented
126#10622659C2211yescharacteristic, complemented
127#10622659C2211yescharacteristic, complemented
128#10622659C2211yescharacteristic, complemented
129#10622659C2211yescharacteristic, complemented
130#10622658C2211yescharacteristic, complemented
131#10622654C2211yescharacteristic, complemented
132#10622651C2211yescharacteristic, complemented
133#10622650C2211yescharacteristic, complemented
134#10622648C2211yescharacteristic, complemented
135#10622616C2211yescharacteristic, complemented
136#10622609C2211yescharacteristic, complemented
137C2×#66873C2211yescharacteristic, complemented
138C2×#66873C2211yescharacteristic, complemented
139#10622504C2211yescharacteristic, complemented
140#10622503C2211yescharacteristic, complemented
141#10622502C2211yescharacteristic, complemented
142#10622499C2211yescharacteristic, complemented
143#10622498C2211yescharacteristic, complemented
144#10622496C2211yescharacteristic, complemented
145#10622495C2211yescharacteristic, complemented
146#10622485C2211yescharacteristic, complemented
147#10622484C2211yescharacteristic, complemented
148#10622483C2211yescharacteristic, complemented
149#10622482C2211yescharacteristic, complemented
150#10622479C2211yescharacteristic, complemented
151#10622478C2211yescharacteristic, complemented
152#10622477C2211yescharacteristic, complemented
153#10622476C2211yescharacteristic, complemented
154#10622465C2211yescharacteristic, complemented
155#10622432C2211yescharacteristic, complemented
156#10622432C2211yescharacteristic, complemented
157#10622432C2211yescharacteristic, complemented
158#10622431C2211yescharacteristic, complemented
159#10622431C2211yescharacteristic, complemented
160#10622430C2211yescharacteristic, complemented
161#10622430C2211yescharacteristic, complemented
162#10622425C2211yescharacteristic, complemented
163#10622425C2211yescharacteristic, complemented
164#10622424C2211yescharacteristic, complemented
165#10622424C2211yescharacteristic, complemented
166#10622424C2211yescharacteristic, complemented
167#10622423C2211yescharacteristic, complemented
168#10622420C2211yescharacteristic, complemented
169#10622420C2211yescharacteristic, complemented
170#10622419C2211yescharacteristic, complemented
171#10622419C2211yescharacteristic, complemented
172#10622417C2211yescharacteristic, complemented
173#10622416C2211yescharacteristic, complemented
174#10622413C2211yescharacteristic, complemented
175#10622411C2211yescharacteristic, complemented
176#10622408C2211yescharacteristic, complemented
177#10622401C2211yescharacteristic, complemented
178#10622401C2211yescharacteristic, complemented
179#10622399C2211yescharacteristic, complemented
180#10622389C2211yescharacteristic, complemented
181#10622386C2211yescharacteristic, complemented
182#10622383C2211yescharacteristic, complemented
183D11×#102C2211yescharacteristic, complemented
184#10622377C2211yescharacteristic, complemented
185#10622375C2211yescharacteristic, complemented
186#10622373C2211yescharacteristic, complemented
187#10622345C2211yescharacteristic
188#10622345C2211yescharacteristic, complemented
189#10622345C2211yescharacteristic, complemented
190#10622345C2211yescharacteristic, complemented
191#10622344C2211yescharacteristic
192#10622344C2211yescharacteristic, complemented
193#10622344C2211yescharacteristic, complemented
194#10622344C2211yescharacteristic, complemented
195#10622343C2211yescharacteristic, complemented
196#10622343C2211yescharacteristic, complemented
197#10622340C2211yescharacteristic, complemented
198#10622340C2211yescharacteristic, complemented
199(C22⋊D11)⋊C8C2211yescharacteristic, complemented
200(C22⋊D11)⋊C8C2211yescharacteristic, complemented
201#10622333C2211yescharacteristic, complemented
202#10622333C2211yescharacteristic, complemented
203C24×D11—21no—
204C2×C11×#41C2311yescharacteristic
205C22×Q8×C11C2311yescharacteristic
206C23×C4×C11C2311yescharacteristic
207#67042—42no—
208#67042—42no—
209C2×#4343C2311yescharacteristic
210C2×#4343C2311yescharacteristic
211C2×#4343C2311yescharacteristic, complemented
212C2×Q8×D11C2311yescharacteristic, complemented
213C2×D4×D11—21no—
214C2×D4×D11—21no—
215C2×D4×D11—21no—
216C2×D4×D11—21no—
217C2×D4×D11—21no—
218C2×D4×D11—21no—
219C2×D4×D11C2311yescharacteristic
220C2×D4×D11C2311yescharacteristic
221C2×#4339—21no—
222C2×#4339C2311yescharacteristic
223C2×#4339C2311yescharacteristic
224C22×D44—21no—
225C22×D44—21no—
226C22×D44—21no—
227C22×D44—21no—
228C22×D44—42no—
229C22×D44—42no—
230C22×D44C2311yescharacteristic
231C22×D44C2311yescharacteristic
232C22×D44C2311yescharacteristic
233C22×D44C2311yescharacteristic
234C22×D44C2311yescharacteristic
235C22×D44C2311yescharacteristic
236C2×C11×Q16C2311yescharacteristic, complemented
237C2×C11×Q16C2311yescharacteristic, complemented
238C2×C11×SD16C2311yescharacteristic, complemented
239C2×C11×SD16C2311yescharacteristic, complemented
240C2×C11×M16C2311yescharacteristic
241C2×C11×M16C2311yescharacteristic
242C11×#123—21no—
243C11×C22⋊Q8—21no—
244C11×C22⋊Q8—21no—
245C11×C22⋊Q8C2311yescharacteristic
246C11×C22⋊Q8C2311yescharacteristic
247C11×C22⋊Q8C2311yescharacteristic
248C11×C22⋊Q8C2311yescharacteristic
249C11×C22⋊Q8C2311yescharacteristic
250C11×C22⋊Q8C2311yescharacteristic
251C11×#121C2311yescharacteristic
252C11×#121C2311yescharacteristic
253C11×#120—21no—
254C4×D4×C11—21no—
255C4×D4×C11—21no—
256C11×#117C2311yescharacteristic
257C2×C11×C4⋊C4—21no—
258C2×C11×C4⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4—21no—
260#67006—21no—
261#67006D411yescharacteristic
262#67006D411yescharacteristic
263#67000—21no—
264#67000C2311yescharacteristic
265#67000C2311yescharacteristic
266#67000C2311yescharacteristic, complemented
267#66999—21no—
268#66999—21no—
269#66999C2311yescharacteristic, complemented
270#66999C2311yescharacteristic, complemented
271Q8×Dic11C2311yescharacteristic, complemented
272Q8×Dic11C2311yescharacteristic, complemented
273#66997—21no—
274#66997C2311yescharacteristic, complemented
275C2×#4326C2311yescharacteristic, complemented
276C2×#4325—42no—
277C2×#4325—42no—
278C2×#4325C2311yescharacteristic
279C2×#4325C2311yescharacteristic
280C2×#4325C2311yescharacteristic
281C2×#4325C2311yescharacteristic
282C2×#4325C2311yescharacteristic
283C2×#4325C2311yescharacteristic
284C2×#4325C2311yescharacteristic
285C2×#4325C2311yescharacteristic
286C2×#4325C2311yescharacteristic, complemented
287#66993C2311yescharacteristic
288#66993C2311yescharacteristic
289#66990—21no—
290#66990—21no—
291#66990—21no—
292#66990—21no—
293#66990—21no—
294#66990—21no—
295C2×#4324C2311yescharacteristic, complemented
296C2×#4323C2311yescharacteristic, complemented
297#66983—21no—
298#66983—21no—
299#66983—21no—
300#66983—21no—
301#66983D411yescharacteristic
302#66983D411yescharacteristic
303#66983C2311yescharacteristic
304#66983C2311yescharacteristic
305#66982—21no—
306#66982D411yescharacteristic
307#66982D411yescharacteristic
308C4×C22⋊D11—21no—
309C4×C22⋊D11—21no—
310C4×C22⋊D11—21no—
311C4×C22⋊D11—21no—
312C4×C22⋊D11—21no—
313C4×C22⋊D11—21no—
314C4×C22⋊D11C2311yescharacteristic
315C4×C22⋊D11C2311yescharacteristic
316C4×C22⋊D11C2311yescharacteristic
317C4×C22⋊D11C2311yescharacteristic
318#66979C2311yescharacteristic
319#66979C2311yescharacteristic
320#66977—21no—
321#66977—21no—
322#66977D411yescharacteristic
323#66977D411yescharacteristic
324#66977C2311yescharacteristic
325#66977C2311yescharacteristic
326C22×C11⋊C8C2311yescharacteristic
327C22×C11⋊C8C2311yescharacteristic
328#66972—42no—
329#66971—42no—
330#66967—42no—
331SD16×D11—42no—
332#66961—42no—
333#66961—42no—
334C2×D88C2311yescharacteristic
335C2×D88C2311yescharacteristic
336C2×D88C2311yescharacteristic
337C2×D88C2311yescharacteristic
338C2×#4314C2311yescharacteristic
339C2×#4314C2311yescharacteristic
340C2×#4314C2311yescharacteristic
341C2×#4314C2311yescharacteristic
342C2×#4313C2311yescharacteristic, complemented
343C2×#4313C2311yescharacteristic, complemented
344C2×C8×D11C2311yescharacteristic, complemented
345C2×C8×D11C2311yescharacteristic, complemented
346#66951—21no—
347#66951—21no—
348#66951—21no—
349#66950—21no—
350#66950C2311yescharacteristic, complemented
351#66949—21no—
352#66949—21no—
353#66949—21no—
354#66948—21no—
355#66948—21no—
356#66948—21no—
357#66948—21no—
358#66948—21no—
359#66948C2311yescharacteristic
360#66948C2311yescharacteristic
361#66948C2311yescharacteristic
362#66948C2311yescharacteristic
363#66948C2311yescharacteristic, complemented
364#66947—21no—
365#66947—21no—
366#66947—21no—
367#66947—21no—
368#66947—21no—
369#66947—21no—
370#66947—21no—
371#66946—21no—
372#66946C2311yescharacteristic
373#66946C2311yescharacteristic
374#66946C2311yescharacteristic
375#66946C2311yescharacteristic
376#66946C2311yescharacteristic, complemented
377#66945—21no—
378#66945C2311yescharacteristic, complemented
379C4⋊C4×D11—21no—
380C4⋊C4×D11C2311yescharacteristic, complemented
381#66943—21no—
382#66943C2311yescharacteristic, complemented
383#66942—21no—
384#66942—21no—
385#66942—21no—
386#66941—21no—
387#66941C2311yescharacteristic, complemented
388#66940—21no—
389#66940C2311yescharacteristic, complemented
390#66938—21no—
391#66938—21no—
392#66938—21no—
393#66938—21no—
394#66937—21no—
395#66937—21no—
396#66937—21no—
397#66937—21no—
398#66937—21no—
399#66937—21no—
400#66937—21no—
401#66937—21no—
402#66936—21no—
403#66936—21no—
404#66936—21no—
405#66936—21no—
406#66935—21no—
407#66935—21no—
408#66935—21no—
409#66935—21no—
410#66935—21no—
411#66935—21no—
412#66935—21no—
413#66935—21no—
414#66935—21no—
415#66935—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#66932—21no—
423#66932—21no—
424#66932—21no—
425#66932—21no—
426#66928—21no—
427#66927—21no—
428C4×D44—21no—
429C4×D44—21no—
430C11×#107C2311yescharacteristic, complemented
431C11×#107C2311yescharacteristic, complemented
432C11×#106C2311yescharacteristic, complemented
433C11×#106C2311yescharacteristic, complemented
434C11×#103C2311yescharacteristic, complemented
435C11×#103C2311yescharacteristic, complemented
436C11×#103C2311yescharacteristic, complemented
437C11×#103C2311yescharacteristic, complemented
438C11×#103C2311yescharacteristic, complemented
439C11×#103C2311yescharacteristic, complemented
440C11×#102C2311yescharacteristic, complemented
441C11×#102C2311yescharacteristic, complemented
442C11×C22⋊C8C2311yescharacteristic
443C11×C22⋊C8C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446#66899C2311yescharacteristic, complemented
447#66899C2311yescharacteristic, complemented
448#66896C2311yescharacteristic, complemented
449#66896C2311yescharacteristic, complemented
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#66885C2311yescharacteristic
461#66885C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic, complemented
463(C2×D11)⋊C8C2311yescharacteristic, complemented
464(C2×D11)⋊C8C2311yescharacteristic, complemented
465(C2×D11)⋊C8C2311yescharacteristic, complemented
466#66879C2311yescharacteristic, complemented
467#66879C2311yescharacteristic, complemented
468Dic11⋊C8C2311yescharacteristic, complemented
469Dic11⋊C8C2311yescharacteristic, complemented
470Dic11⋊C8C2311yescharacteristic, complemented
471Dic11⋊C8C2311yescharacteristic, complemented
472C8×Dic11C2311yescharacteristic, complemented
473C8×Dic11C2311yescharacteristic, complemented
474#66874C2311yescharacteristic, complemented
475#66874C2311yescharacteristic, complemented
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66873C2311yescharacteristic, complemented
485#66873C2311yescharacteristic, complemented
486#66872C2311yescharacteristic, complemented
487#66872C2311yescharacteristic, complemented
488#66871C2311yescharacteristic, complemented
489#66871C2311yescharacteristic, complemented
490#61610—111nomaximal, Sylow
491C24×C11C2×D411yescharacteristic
492C23×D11—21no—
493C23×D11—21no—
494C23×D11—21no—
495C23×D11—21no—
496C23×D11—21no—
497C23×D11—21no—
498C23×D11—21no—
499C23×D11—21no—
500C23×D11—44no—
501C23×D11—82no—
502C23×D11—82no—
503C11×#41—41no—
504C11×#41—41no—
505C2×Q8×C11—21no—
506C2×Q8×C11—41no—
507C2×Q8×C11—41no—
508C2×Q8×C11C2411yescharacteristic
509C2×Q8×C11C2411yescharacteristic
510C2×Q8×C11C2411yescharacteristic
511C2×D4×C11—21no—
512C2×D4×C11—21no—
513C2×D4×C11—21no—
514C2×D4×C11C2411yescharacteristic
515C22×C4×C11—21no—
516C22×C4×C11—21no—
517C22×C4×C11—21no—
518C22×C4×C11—41no—
519C22×C4×C11—41no—
520C22×C4×C11C2×D411yescharacteristic
521C22×C4×C11C2×D411yescharacteristic
522C22×C4×C11C2×D411yescharacteristic
523C22×C4×C11C2411yescharacteristic
524C22×C4×C11C2411yescharacteristic
525C22×C4×C11C2411yescharacteristic
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⋊D11C2×D411yescharacteristic
536C2×C22⋊D11C2×D411yescharacteristic
537C2×C22⋊D11C2×D411yescharacteristic
538C2×C22⋊D11C2×D411yescharacteristic
539C2×C22⋊D11C2×D411yescharacteristic
540C2×C22⋊D11C2×D411yescharacteristic
541#4343—22no—
542#4343—22no—
543#4343—41no—
544#4343—41no—
545#4343—41no—
546#4343—41no—
547Q8×D11—41no—
548Q8×D11—41no—
549D4×D11—22no—
550D4×D11—22no—
551D4×D11—41no—
552D4×D11—41no—
553D4×D11—44no—
554D4×D11—44no—
555D4×D11—82no—
556D4×D11—82no—
557D4×D11—82no—
558D4×D11—82no—
559#4339—41no—
560#4339—41no—
561#4339—41no—
562#4339—41no—
563#4339—44no—
564C2×D44—22no—
565C2×D44—22no—
566C2×D44—21no—
567C2×D44—21no—
568C2×D44—21no—
569C2×D44—21no—
570C2×D44—21no—
571C2×D44—21no—
572C2×D44—21no—
573C2×D44—21no—
574C2×D44—22no—
575C2×D44—22no—
576C2×D44—22no—
577C2×D44—22no—
578C2×D44—21no—
579C2×D44—21no—
580C2×D44—21no—
581C2×D44—21no—
582C2×D44—21no—
583C2×D44—21no—
584C2×D44—41no—
585C2×D44—41no—
586C2×D44—41no—
587C2×D44—41no—
588C2×D44—41no—
589C2×D44—41no—
590C2×D44—44no—
591C2×D44—44no—
592C2×D44—44no—
593C2×D44—44no—
594C2×D44C2×D411yescharacteristic
595C2×D44C2411yescharacteristic
596C2×D44C2411yescharacteristic
597C2×D44C2411yescharacteristic
598C2×D44C2411yescharacteristic
599C2×D44C2411yescharacteristic
600C2×C4×D11—21no—
601C2×C4×D11—21no—
602C2×C4×D11—21no—
603C2×C4×D11—21no—
604C2×C4×D11—21no—
605C2×C4×D11—21no—
606C2×C4×D11—21no—
607C2×C4×D11—21no—
608C2×C4×D11—21no—
609C2×C4×D11—21no—
610C2×C4×D11—21no—
611C2×C4×D11C2411yescharacteristic
612C2×C4×D11C2411yescharacteristic
613C2×Dic22—21no—
614C2×Dic22—21no—
615C2×Dic22C2×D411yescharacteristic
616C2×Dic22C2411yescharacteristic
617C11×Q16—41no—
618C11×Q16—41no—
619C11×SD16—41no—
620C11×SD16—41no—
621C11×M16—41no—
622C11×M16—41no—
623C2×C8×C11C2411yescharacteristic
624C2×C8×C11C2411yescharacteristic
625C2×C8×C11C2411yescharacteristic
626C2×C8×C11C2411yescharacteristic
627C11×C4⋊C4—21no—
628C11×C4⋊C4—21no—
629C11×C4⋊C4—21no—
630C11×C4⋊C4—21no—
631C11×C4⋊C4—21no—
632C11×C4⋊C4—21no—
633C11×C4⋊C4—21no—
634C11×C4⋊C4C2411yescharacteristic
635C11×C4⋊C4C2411yescharacteristic
636C11×C4⋊C4C2411yescharacteristic
637C11×C4⋊C4C2411yescharacteristic
638C11×C22⋊C4—21no—
639C11×C22⋊C4—21no—
640C11×C22⋊C4—21no—
641C11×C22⋊C4—21no—
642C11×C22⋊C4—21no—
643C11×C22⋊C4—21no—
644C11×C22⋊C4—21no—
645C11×C22⋊C4—21no—
646C11×C22⋊C4—21no—
647C42×C11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11—21no—
651C22⋊Dic11C2×D411yescharacteristic
652C22⋊Dic11C2×D411yescharacteristic
653C22⋊Dic11C2×D411yescharacteristic
654C22⋊Dic11C2×D411yescharacteristic
655C22⋊Dic11C2×D411yescharacteristic
656C22⋊Dic11C2×D411yescharacteristic
657#4326—41no—
658#4325—22no—
659#4325—22no—
660#4325—22no—
661#4325—22no—
662#4325—41no—
663#4325—41no—
664#4325—41no—
665#4325—41no—
666#4325—41no—
667#4324—41no—
668#4323—41no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4—21no—
683(C2×D11)⋊C4—21no—
684(C2×D11)⋊C4—21no—
685(C2×D11)⋊C4—21no—
686(C2×D11)⋊C4—21no—
687(C2×D11)⋊C4—21no—
688(C2×D11)⋊C4—21no—
689(C2×D11)⋊C4—21no—
690(C2×D11)⋊C4—21no—
691(C2×D11)⋊C4C2×D411yescharacteristic
692(C2×D11)⋊C4C2×D411yescharacteristic
693(C2×D11)⋊C4C2×D411yescharacteristic
694(C2×D11)⋊C4C2×D411yescharacteristic
695C4⋊Dic11—21no—
696C4⋊Dic11—21no—
697C4⋊Dic11—21no—
698C4⋊Dic11—21no—
699C4⋊Dic11C2×D411yescharacteristic
700C4⋊Dic11C2×D411yescharacteristic
701C4⋊Dic11C2411yescharacteristic
702C4⋊Dic11C2411yescharacteristic
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4C2×D411yescharacteristic
714Dic11⋊C4C2×D411yescharacteristic
715Dic11⋊C4C2×D411yescharacteristic
716Dic11⋊C4C2×D411yescharacteristic
717C4×Dic11—21no—
718C4×Dic11—21no—
719C4×Dic11—21no—
720C4×Dic11—21no—
721C4×Dic11—21no—
722C4×Dic11C2411yescharacteristic
723C4×Dic11C2411yescharacteristic
724C2×C11⋊C8—41no—
725C2×C11⋊C8—41no—
726C2×C11⋊C8C2411yescharacteristic
727C2×C11⋊C8C2411yescharacteristic
728C2×C11⋊C8C2411yescharacteristic
729C2×C11⋊C8C2411yescharacteristic
730D88—22no—
731D88—22no—
732D88—41no—
733D88—41no—
734#4314—22no—
735#4314—22no—
736#4314—41no—
737#4314—41no—
738#4313—41no—
739#4313—41no—
740C8×D11—41no—
741C8×D11—41no—
742#3541—111no—
743#3484—111no—
744#3324—111no—
745#3323—111no—
746#3318—111no—
747#3314—111no—
748#3311—111no—
749#3310—111no—
750#3297—111no—
751#3295—111no—
752#3282—111no—
753D4×SD16—111no—
754#3275—111no—
755#3272—111no—
756#3267—111no—
757#3266—111no—
758#3265—111no—
759#3265—111no—
760#3224—111no—
761#3222—111no—
762#3200—111no—
763#3198—111no—
764#3196D1111yescharacteristic, complemented
765#3191—111no—
766#3123—111no—
767#3118—111no—
768#3012—111no—
769#3009—111no—
770#3003—111no—
771C2×#450—111no—
772#2976—111no—
773C23×C11—22no—
774C23×C11—21no—
775C23×C11—41no—
776C23×C11—41no—
777C23×C11C22×D411yescharacteristic
778C23×C11C22×D411yescharacteristic
779C23×C11C22×D411yescharacteristic
780C22×D11—21no—
781C22×D11—21no—
782C22×D11—24no—
783C22×D11—21no—
784C22×D11—21no—
785C22×D11—21no—
786C22×D11—42no—
787C22×D11—42no—
788C22×D11—42no—
789C22×D11—42no—
790C22×D11—42no—
791C22×D11—42no—
792C22×D11—42no—
793C22×D11—42no—
794C22×D11—42no—
795C22×D11—42no—
796C22×D11—42no—
797C22×D11—81no—
798C22×D11—81no—
799C22×D11—81no—
800C22×D11—81no—
801C22×D11—81no—
802C22×D11—81no—
803C22×D11—81no—
804C22×D11—81no—
805C22×D11—81no—
806C22×D11—81no—
807C22×D11—81no—
808C22×D11—81no—
809C22×D11—816no—
810C22×D11C22×D411yescharacteristic
811C22×D11C22×D411yescharacteristic
812Q8×C11—21no—
813Q8×C11—21no—
814Q8×C11—21no—
815Q8×C11—21no—
816Q8×C11—21no—
817Q8×C11—21no—
818Q8×C11—81no—
819D4×C11—21no—
820D4×C11—21no—
821D4×C11—42no—
822D4×C11—42no—
823D4×C11—42no—
824C2×C4×C11—21no—
825C2×C4×C11—21no—
826C2×C4×C11—21no—
827C2×C4×C11—21no—
828C2×C4×C11—21no—
829C2×C4×C11—21no—
830C2×C4×C11—21no—
831C2×C4×C11—21no—
832C2×C4×C11—21no—
833C2×C4×C11—21no—
834C2×C4×C11—21no—
835C2×C4×C11—21no—
836C2×C4×C11—21no—
837C2×C4×C11—41no—
838C2×C4×C11—41no—
839C2×C4×C11—41no—
840C2×C4×C11—42no—
841C2×C4×C11—81no—
842C2×C4×C11—81no—
843C2×C4×C11C22×D411yescharacteristic
844C2×C4×C11C22×D411yescharacteristic
845C2×C4×C11C22×D411yescharacteristic
846C2×C4×C11C2511yescharacteristic
847C22⋊D11—22no—
848C22⋊D11—22no—
849C22⋊D11—41no—
850C22⋊D11—41no—
851C22⋊D11—41no—
852C22⋊D11—41no—
853C22⋊D11—42no—
854C22⋊D11—42no—
855C22⋊D11—42no—
856C22⋊D11—81no—
857C22⋊D11—81no—
858C22⋊D11—81no—
859C22⋊D11—81no—
860C22⋊D11—81no—
861C22⋊D11—81no—
862C2×Dic11—21no—
863C2×Dic11—21no—
864C2×Dic11—21no—
865C2×Dic11C22×D411yescharacteristic
866C2×Dic11C22×D411yescharacteristic
867C2×Dic11C22×D411yescharacteristic
868C2×Dic11C22×D411yescharacteristic
869C2×Dic11C22×D411yescharacteristic
870C2×Dic11C22×D411yescharacteristic
871D44—24no—
872D44—21no—
873D44—21no—
874D44—21no—
875D44—21no—
876D44—21no—
877D44—21no—
878D44—21no—
879D44—21no—
880D44—41no—
881D44—42no—
882D44—42no—
883D44—42no—
884D44—42no—
885D44—42no—
886D44—42no—
887D44—42no—
888D44—81no—
889D44—81no—
890D44—81no—
891D44—81no—
892D44—81no—
893D44—81no—
894D44H(5,𝔽2)12yes—
895D44H(5,𝔽2)12yes—
896C4×D11—21no—
897C4×D11—21no—
898C4×D11—21no—
899C4×D11—21no—
900C4×D11—42no—
901C4×D11—42no—
902C4×D11—81no—
903C4×D11—81no—
904C4×D11—81no—
905C4×D11—81no—
906C4×D11—81no—
907C4×D11—81no—
908C4×D11—81no—
909C4×D11—81no—
910C4×D11—81no—
911Dic22—21no—
912Dic22—21no—
913Dic22—41no—
914Dic22—81no—
915Dic22—81no—
916C8×C11—21no—
917C8×C11—21no—
918C8×C11—21no—
919C8×C11—21no—
920C11⋊C8—21no—
921C11⋊C8—21no—
922C11⋊C8—21no—
923C11⋊C8—21no—
924C2×H(5,𝔽2)—111no—
925C23×D4—111no—
926C2×#137—111no—
927C2×AGL(1,ℤ/8)—111no—
928C2×AGL(1,ℤ/8)—111no—
929C2×AGL(1,ℤ/8)—111no—
930C2×#135—111no—
931C22×SD16—111no—
932C22×SD16—111no—
933C22×SD16—111no—
934#563—221no—
935#562—221no—
936#556—111no—
937#554—111no—
938#554—221no—
939#553—111no—
940#553—221no—
941#552—111no—
942D4×Q8—111no—
943#548—111no—
944#548—111no—
945#547—111no—
946#546—111no—
947#546—111no—
948#546—111no—
949#546—111no—
950#546—221no—
951#546—221no—
952D42—111no—
953D42—111no—
954D42—111no—
955D42—111no—
956D42—221no—
957D42—221no—
958#542—111no—
959#542—221no—
960#541—111no—
961#539—221no—
962#538—221no—
963#538—221no—
964#537—111no—
965#536—111no—
966#535—111no—
967#535—111no—
968#534—221no—
969#534—221no—
970#525—111no—
971#525—111no—
972#525C2×D1111yescharacteristic
973C2×C22⋊Q8C2×D1111yescharacteristic, complemented
974C2×#120—221no—
975C2×#120—221no—
976#518—111no—
977#497—111no—
978#496—111no—
979#495—111no—
980#492—111no—
981#490—111no—
982#489—111no—
983#488—111no—
984#486—111no—
985#485—111no—
986#485—111no—
987#485C2×D1111yescharacteristic, complemented
988#485C2×D1111yescharacteristic, complemented
989#484C2×D1111yescharacteristic, complemented
990#482—111no—
991#482—111no—
992#482—111no—
993#482—111no—
994#481—111no—
995#481C2×D1111yescharacteristic, complemented
996#480—111no—
997#478—111no—
998#478—111no—
999#476—111no—
1000#474—111no—
1001#470C2×D1111yescharacteristic, complemented
1002#470C2×D1111yescharacteristic, complemented
1003#469—111no—
1004#468—111no—
1005#468—111no—
1006#468—111no—
1007#468C2×D1111yescharacteristic, complemented
1008#468C2×D1111yescharacteristic, complemented
1009#467—111no—
1010#466—111no—
1011#466—111no—
1012#465—111no—
1013#465—111no—
1014#465—111no—
1015#465—111no—
1016#465—111no—
1017#464—111no—
1018#464—111no—
1019#464—111no—
1020#463—111no—
1021#463—111no—
1022#463—111no—
1023#461—111no—
1024#461—111no—
1025#460—111no—
1026#460—111no—
1027#460—111no—
1028#459—111no—
1029#452—111no—
1030#452—111no—
1031#452—111no—
1032#452—111no—
1033#452—111no—
1034#452C2×D1111yescharacteristic, complemented
1035#452C2×D1111yescharacteristic, complemented
1036#451C2×D1111yescharacteristic, complemented
1037#450—111no—
1038#450—111no—
1039#450—111no—
1040#450—111no—
1041#450—111no—
1042#450—111no—
1043#450—111no—
1044#450—111no—
1045#450—111no—
1046#450—111no—
1047#450—111no—
1048#450—111no—
1049#450—111no—
1050#450—111no—
1051#450—111no—
1052#449—111no—
1053#449—111no—
1054#449—111no—
1055#449—111no—
1056#449—111no—
1057#448—111no—
1058#448—111no—
1059#448C2×D1111yescharacteristic, complemented
1060#447—111no—
1061#447—111no—
1062#447—111no—
1063#447—111no—
1064#447—111no—
1065#442—111no—
1066#440—111no—
1067#440—111no—
1068#440—111no—
1069C4×SD16—111no—
1070C4×SD16—111no—
1071C4×SD16—111no—
1072C4×D8—111no—
1073#436—111no—
1074#436—111no—
1075#435—111no—
1076#435—111no—
1077#435—111no—
1078#435—111no—
1079C8×D4—111no—
1080C8×D4—111no—
1081#433—111no—
1082#433—111no—
1083#418—111no—
1084#418—111no—
1085#418—111no—
1086#417—111no—
1087#416—111no—
1088C2×#102—111no—
1089C2×#102—111no—
1090C2×#102—111no—
1091#408—111no—
1092#408—111no—
1093#407C2×D1111yescharacteristic, complemented
1094C2×C22⋊C8—111no—
1095C22×C11—21no—
1096C22×C11—21no—
1097C22×C11—21no—
1098C22×C11—21no—
1099C22×C11—21no—
1100C22×C11—21no—
1101C22×C11—21no—
1102C22×C11—21no—
1103C22×C11—44no—
1104C22×C11—41no—
1105C22×C11—41no—
1106C22×C11—41no—
1107C22×C11#57712yes—
1108C22×C11C23×D411yescharacteristic
1109C2×D11—21no—
1110C2×D11—21no—
1111C2×D11—22no—
1112C2×D11—22no—
1113C2×D11—21no—
1114C2×D11—21no—
1115C2×D11—21no—
1116C2×D11—21no—
1117C2×D11—41no—
1118C2×D11—41no—
1119C2×D11—41no—
1120C2×D11—41no—
1121C2×D11—41no—
1122C2×D11—41no—
1123C2×D11—41no—
1124C2×D11—41no—
1125C2×D11—41no—
1126C2×D11—41no—
1127C2×D11—41no—
1128C2×D11—41no—
1129C2×D11—41no—
1130C2×D11—84no—
1131C2×D11—84no—
1132C2×D11—84no—
1133C2×D11—84no—
1134C2×D11—84no—
1135C2×D11—84no—
1136C2×D11—162no—
1137C2×D11—162no—
1138C4×C11—21no—
1139C4×C11—21no—
1140C4×C11—21no—
1141C4×C11—41no—
1142C4×C11—41no—
1143C4×C11—41no—
1144C4×C11—41no—
1145C4×C11—41no—
1146C4×C11—41no—
1147C4×C11—41no—
1148C4×C11C2×H(5,𝔽2)11yescharacteristic
1149C4×C11C2×H(5,𝔽2)11yescharacteristic
1150Dic11—21no—
1151Dic11—21no—
1152Dic11—21no—
1153Dic11—21no—
1154Dic11—21no—
1155Dic11—21no—
1156Dic11—41no—
1157Dic11—41no—
1158Dic11—41no—
1159C25—221no—
1160H(5,𝔽2)—442no—
1161H(5,𝔽2)—442no—
1162C2×#41—111no—
1163C2×#41—111no—
1164C2×#41—111no—
1165C2×#41—111no—
1166C2×#41—111no—
1167C2×#41—221no—
1168C2×#41C22×D1111yescharacteristic
1169C22×Q8—111no—
1170C22×Q8C22×D1111yescharacteristic
1171C22×D4—111no—
1172C22×D4—111no—
1173C22×D4—111no—
1174C22×D4—111no—
1175C22×D4—111no—
1176C22×D4—111no—
1177C22×D4—111no—
1178C22×D4—111no—
1179C22×D4—221no—
1180C22×D4—221no—
1181C22×D4—221no—
1182C22×D4—221no—
1183C22×D4—221no—
1184C22×D4—221no—
1185C22×D4—221no—
1186C22×D4—221no—
1187C22×D4—221no—
1188C22×D4—221no—
1189C22×D4—442no—
1190C22×D4—442no—
1191C23×C4C22×D1111yescharacteristic
1192#137—442no—
1193AGL(1,ℤ/8)—442no—
1194AGL(1,ℤ/8)—442no—
1195AGL(1,ℤ/8)—442no—
1196#135—442no—
1197C2×Q16—111no—
1198C2×Q16C22×D1111yescharacteristic, complemented
1199C2×Q16C22×D1111yescharacteristic, complemented
1200C2×SD16—111no—
1201C2×SD16—111no—
1202C2×SD16—111no—
1203C2×SD16—111no—
1204C2×SD16—111no—
1205C2×SD16—111no—
1206C2×SD16—111no—
1207C2×SD16—111no—
1208C2×SD16—111no—
1209C2×SD16—111no—
1210C2×SD16—111no—
1211C2×SD16—111no—
1212C2×SD16—111no—
1213C2×SD16—111no—
1214C2×SD16—442no—
1215C2×SD16—442no—
1216C2×SD16—442no—
1217C2×SD16C22×D1111yescharacteristic, complemented
1218C2×SD16C22×D1111yescharacteristic, complemented
1219C2×D8—111no—
1220C2×D8—111no—
1221C2×D8—111no—
1222C2×D8—111no—
1223C2×D8—111no—
1224C2×M16—111no—
1225C2×M16—111no—
1226C2×M16C22×D1111yescharacteristic
1227C2×M16C22×D1111yescharacteristic
1228C22×C8—111no—
1229C22×C8—111no—
1230C22×C8—111no—
1231C22×C8—111no—
1232C4⋊Q8—111no—
1233C4⋊Q8—111no—
1234C4⋊Q8—221no—
1235C4⋊Q8—221no—
1236#127—111no—
1237#127—111no—
1238#127—221no—
1239#126—221no—
1240#126—221no—
1241#126—221no—
1242#126—221no—
1243#126—221no—
1244#126—221no—
1245#126—221no—
1246#125—111no—
1247#125—221no—
1248#125—221no—
1249#125—221no—
1250#125—221no—
1251#124—111no—
1252#124—111no—
1253#124—111no—
1254#124—221no—
1255#124—221no—
1256#124—221no—
1257#124—221no—
1258#124—221no—
1259#124—221no—
1260#123—21no—
1261#123—111no—
1262#123—111no—
1263#123—221no—
1264#123—221no—
1265#123—221no—
1266#123—221no—
1267#123—221no—
1268#123—221no—
1269#123—221no—
1270#123—221no—
1271#123—221no—
1272#123—221no—
1273#123—221no—
1274#123—221no—
1275C22⋊Q8—21no—
1276C22⋊Q8—21no—
1277C22⋊Q8—111no—
1278C22⋊Q8—111no—
1279C22⋊Q8—111no—
1280C22⋊Q8—111no—
1281C22⋊Q8—111no—
1282C22⋊Q8—111no—
1283C22⋊Q8—111no—
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⋊Q8C22×D1111yescharacteristic
1293C22⋊Q8C22×D1111yescharacteristic
1294C22⋊Q8C22×D1111yescharacteristic
1295C22⋊Q8C22×D1111yescharacteristic
1296C22⋊Q8C22×D1111yescharacteristic
1297C22⋊Q8C22×D1111yescharacteristic
1298#121—111no—
1299#121—111no—
1300#121—111no—
1301#121—111no—
1302#121—111no—
1303#121—111no—
1304#121—111no—
1305#121—111no—
1306#121—111no—
1307#121—221no—
1308#121—221no—
1309#121—221no—
1310#121—221no—
1311#121—221no—
1312#121—221no—
1313#121—221no—
1314#121—221no—
1315#121—221no—
1316#121—221no—
1317#121—221no—
1318#121—221no—
1319#121—221no—
1320#121—221no—
1321#121—221no—
1322#121—221no—
1323#121—221no—
1324#121C22×D1111yescharacteristic
1325#121C22×D1111yescharacteristic
1326#120—21no—
1327#120—111no—
1328#120—111no—
1329#120—221no—
1330#120—221no—
1331#120—221no—
1332#120—221no—
1333#120—221no—
1334#120—221no—
1335#120—221no—
1336#120—221no—
1337#120—221no—
1338#120—221no—
1339#120—221no—
1340#120—221no—
1341#120—221no—
1342#120—221no—
1343#120—221no—
1344#120—221no—
1345#120—221no—
1346C4×Q8—111no—
1347C4×Q8—111no—
1348C4×Q8—111no—
1349C4×Q8—221no—
1350C4×D4—21no—
1351C4×D4—21no—
1352C4×D4—111no—
1353C4×D4—111no—
1354C4×D4—111no—
1355C4×D4—111no—
1356C4×D4—111no—
1357C4×D4—111no—
1358C4×D4—111no—
1359C4×D4—111no—
1360C4×D4—111no—
1361C4×D4—221no—
1362C4×D4—221no—
1363C4×D4—221no—
1364C4×D4—221no—
1365C4×D4—221no—
1366C4×D4—221no—
1367C4×D4—221no—
1368C4×D4—221no—
1369C4×D4—221no—
1370#117—111no—
1371#117—111no—
1372#117—111no—
1373#117—221no—
1374#117C22×D1111yescharacteristic
1375C2×C4⋊C4—21no—
1376C2×C4⋊C4—111no—
1377C2×C4⋊C4—221no—
1378C2×C4⋊C4C22×D1111yescharacteristic
1379C2×C22⋊C4—21no—
1380C2×C22⋊C4—221no—
1381C2×C22⋊C4—221no—
1382C2×C22⋊C4—221no—
1383C2×C22⋊C4—221no—
1384C2×C22⋊C4—221no—
1385C2×C22⋊C4—221no—
1386#107—111no—
1387#107—111no—
1388#107C22×D1111yescharacteristic, complemented
1389#107C22×D1111yescharacteristic, complemented
1390#106—111no—
1391#106—111no—
1392#106C22×D1111yescharacteristic, complemented
1393#106C22×D1111yescharacteristic, complemented
1394C4⋊C8—111no—
1395C4⋊C8—111no—
1396C4⋊C8—111no—
1397C4⋊C8—111no—
1398#103—111no—
1399#103—111no—
1400#103—111no—
1401#103—111no—
1402#103C22×D1111yescharacteristic, complemented
1403#103C22×D1111yescharacteristic, complemented
1404#103C22×D1111yescharacteristic, complemented
1405#103C22×D1111yescharacteristic, complemented
1406#103C22×D1111yescharacteristic, complemented
1407#103C22×D1111yescharacteristic, complemented
1408#102—111no—
1409#102—111no—
1410#102—111no—
1411#102—111no—
1412#102—111no—
1413#102—111no—
1414#102—111no—
1415#102—111no—
1416#102—111no—
1417#102—111no—
1418#102—111no—
1419#102—111no—
1420#102—111no—
1421#102—111no—
1422#102—111no—
1423#102—111no—
1424#102—111no—
1425#102—111no—
1426#102—111no—
1427#102—111no—
1428#102C22×D1111yescharacteristic, complemented
1429#102C22×D1111yescharacteristic, complemented
1430C22⋊C8—111no—
1431C22⋊C8—111no—
1432C22⋊C8—111no—
1433C22⋊C8—111no—
1434C22⋊C8—111no—
1435C22⋊C8—111no—
1436C22⋊C8—111no—
1437C22⋊C8—111no—
1438C22⋊C8C22×D1111yescharacteristic
1439C22⋊C8C22×D1111yescharacteristic
1440C22⋊C8C22×D1111yescharacteristic
1441C22⋊C8C22×D1111yescharacteristic
1442#97—111no—
1443#97—111no—
1444C4×C8—111no—
1445C4×C8—111no—
1446C2×C11—22no—
1447C2×C11—41no—
1448C2×C11—41no—
1449C2×C11—81no—
1450C2×C11#348411yescharacteristic
1451C2×C11C2×#57711yescharacteristic
1452C2×C11#358511yescharacteristic
1453D11—41no—
1454D11—41no—
1455D11—42no—
1456D11—42no—
1457D11—81no—
1458D11—81no—
1459D11—81no—
1460C24—221no—
1461C24—221no—
1462C24—221no—
1463C24—221no—
1464C24—221no—
1465C24—221no—
1466C24—221no—
1467C24—221no—
1468C24—444no—
1469C24—882no—
1470C24—882no—
1471C24D4×D1111yescharacteristic
1472#41—41no—
1473#41—41no—
1474#41—222no—
1475#41—222no—
1476#41—441no—
1477#41—441no—
1478#41—441no—
1479#41—441no—
1480#41—444no—
1481#41—441no—
1482#41—441no—
1483#41—441no—
1484#41—441no—
1485C2×Q8—21no—
1486C2×Q8—41no—
1487C2×Q8—41no—
1488C2×Q8—111no—
1489C2×Q8—111no—
1490C2×Q8—221no—
1491C2×Q8—221no—
1492C2×Q8—441no—
1493C2×Q8—441no—
1494C2×Q8C23×D1111yescharacteristic
1495C2×Q8C23×D1111yescharacteristic
1496C2×Q8C23×D1111yescharacteristic
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—111no—
1501C2×D4—111no—
1502C2×D4—111no—
1503C2×D4—111no—
1504C2×D4—111no—
1505C2×D4—111no—
1506C2×D4—111no—
1507C2×D4—111no—
1508C2×D4—111no—
1509C2×D4—111no—
1510C2×D4—111no—
1511C2×D4—111no—
1512C2×D4—222no—
1513C2×D4—222no—
1514C2×D4—222no—
1515C2×D4—222no—
1516C2×D4—222no—
1517C2×D4—222no—
1518C2×D4—221no—
1519C2×D4—221no—
1520C2×D4—221no—
1521C2×D4—221no—
1522C2×D4—221no—
1523C2×D4—221no—
1524C2×D4—221no—
1525C2×D4—221no—
1526C2×D4—221no—
1527C2×D4—221no—
1528C2×D4—221no—
1529C2×D4—221no—
1530C2×D4—221no—
1531C2×D4—221no—
1532C2×D4—222no—
1533C2×D4—222no—
1534C2×D4—221no—
1535C2×D4—221no—
1536C2×D4—221no—
1537C2×D4—221no—
1538C2×D4—221no—
1539C2×D4—221no—
1540C2×D4—221no—
1541C2×D4—221no—
1542C2×D4—221no—
1543C2×D4—441no—
1544C2×D4—441no—
1545C2×D4—441no—
1546C2×D4—441no—
1547C2×D4—441no—
1548C2×D4—441no—
1549C2×D4—444no—
1550C2×D4—444no—
1551C2×D4—444no—
1552C2×D4—444no—
1553C2×D4—441no—
1554C2×D4—441no—
1555C2×D4—444no—
1556C2×D4—444no—
1557C2×D4—882no—
1558C2×D4—882no—
1559C2×D4—882no—
1560C2×D4—882no—
1561C2×D4C23×D1111yescharacteristic
1562C22×C4—21no—
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—41no—
1566C22×C4—41no—
1567C22×C4—111no—
1568C22×C4—111no—
1569C22×C4—221no—
1570C22×C4—221no—
1571C22×C4—221no—
1572C22×C4—221no—
1573C22×C4—221no—
1574C22×C4—221no—
1575C22×C4—221no—
1576C22×C4—221no—
1577C22×C4—221no—
1578C22×C4—221no—
1579C22×C4—221no—
1580C22×C4D4×D1111yescharacteristic
1581C22×C4D4×D1111yescharacteristic
1582C22×C4D4×D1111yescharacteristic
1583C22×C4C23×D1111yescharacteristic
1584C22×C4C23×D1111yescharacteristic
1585C22×C4C23×D1111yescharacteristic
1586Q16—41no—
1587Q16—41no—
1588Q16—441no—
1589SD16—41no—
1590SD16—41no—
1591SD16—222no—
1592SD16—222no—
1593SD16—222no—
1594SD16—222no—
1595SD16—222no—
1596SD16—222no—
1597SD16—441no—
1598SD16—441no—
1599SD16—441no—
1600SD16—441no—
1601SD16—441no—
1602SD16—441no—
1603SD16—441no—
1604SD16—441no—
1605D8—222no—
1606D8—222no—
1607D8—441no—
1608D8—441no—
1609D8—441no—
1610M16—41no—
1611M16—41no—
1612M16—441no—
1613M16—441no—
1614C2×C8—111no—
1615C2×C8—111no—
1616C2×C8—111no—
1617C2×C8—111no—
1618C2×C8—441no—
1619C2×C8—441no—
1620C2×C8—441no—
1621C2×C8—441no—
1622C2×C8C23×D1111yescharacteristic
1623C2×C8C23×D1111yescharacteristic
1624C2×C8C23×D1111yescharacteristic
1625C2×C8C23×D1111yescharacteristic
1626C4⋊C4—21no—
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—111no—
1634C4⋊C4—111no—
1635C4⋊C4—111no—
1636C4⋊C4—111no—
1637C4⋊C4—111no—
1638C4⋊C4—111no—
1639C4⋊C4—111no—
1640C4⋊C4—111no—
1641C4⋊C4—221no—
1642C4⋊C4—221no—
1643C4⋊C4—221no—
1644C4⋊C4—221no—
1645C4⋊C4—221no—
1646C4⋊C4—221no—
1647C4⋊C4—221no—
1648C4⋊C4—221no—
1649C4⋊C4—221no—
1650C4⋊C4—221no—
1651C4⋊C4—221no—
1652C4⋊C4—221no—
1653C4⋊C4—221no—
1654C4⋊C4—221no—
1655C4⋊C4C23×D1111yescharacteristic
1656C4⋊C4C23×D1111yescharacteristic
1657C4⋊C4C23×D1111yescharacteristic
1658C4⋊C4C23×D1111yescharacteristic
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—111no—
1669C22⋊C4—111no—
1670C22⋊C4—111no—
1671C22⋊C4—111no—
1672C22⋊C4—111no—
1673C22⋊C4—111no—
1674C22⋊C4—111no—
1675C22⋊C4—111no—
1676C22⋊C4—111no—
1677C22⋊C4—111no—
1678C22⋊C4—221no—
1679C22⋊C4—221no—
1680C22⋊C4—221no—
1681C22⋊C4—221no—
1682C22⋊C4—221no—
1683C22⋊C4—221no—
1684C22⋊C4—221no—
1685C22⋊C4—221no—
1686C22⋊C4—221no—
1687C22⋊C4—221no—
1688C22⋊C4—221no—
1689C22⋊C4—221no—
1690C22⋊C4—221no—
1691C22⋊C4—221no—
1692C22⋊C4—221no—
1693C22⋊C4—221no—
1694C22⋊C4—221no—
1695C22⋊C4—221no—
1696C22⋊C4—221no—
1697C22⋊C4—221no—
1698C22⋊C4—221no—
1699C22⋊C4—221no—
1700C22⋊C4—221no—
1701C22⋊C4—221no—
1702C22⋊C4—221no—
1703C42—21no—
1704C42—111no—
1705C42—111no—
1706C42—221no—
1707C42—221no—
1708C42—221no—
1709C42—221no—
1710C42—221no—
1711C11#6161011yescharacteristic, complemented, Sylow
1712C23—22no—
1713C23—21no—
1714C23—41no—
1715C23—41no—
1716C23—111no—
1717C23—111no—
1718C23—224no—
1719C23—221no—
1720C23—221no—
1721C23—221no—
1722C23—221no—
1723C23—221no—
1724C23—442no—
1725C23—442no—
1726C23—442no—
1727C23—442no—
1728C23—442no—
1729C23—442no—
1730C23—442no—
1731C23—442no—
1732C23—442no—
1733C23—442no—
1734C23—442no—
1735C23—881no—
1736C23—881no—
1737C23—881no—
1738C23—881no—
1739C23—881no—
1740C23—881no—
1741C23—881no—
1742C23—881no—
1743C23—881no—
1744C23—881no—
1745C23—881no—
1746C23—881no—
1747C23—8816no—
1748C23C2×D4×D1111yescharacteristic
1749C23C2×D4×D1111yescharacteristic
1750C23C2×D4×D1111yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—21no—
1756Q8—21no—
1757Q8—81no—
1758Q8—221no—
1759Q8—221no—
1760Q8—441no—
1761Q8—881no—
1762Q8—881no—
1763D4—21no—
1764D4—21no—
1765D4—42no—
1766D4—42no—
1767D4—42no—
1768D4—112no—
1769D4—112no—
1770D4—224no—
1771D4—222no—
1772D4—222no—
1773D4—221no—
1774D4—221no—
1775D4—221no—
1776D4—221no—
1777D4—221no—
1778D4—221no—
1779D4—221no—
1780D4—221no—
1781D4—441no—
1782D4—442no—
1783D4—442no—
1784D4—442no—
1785D4—442no—
1786D4—442no—
1787D4—442no—
1788D4—442no—
1789D4—441no—
1790D4—441no—
1791D4—441no—
1792D4—441no—
1793D4—442no—
1794D4—442no—
1795D4—442no—
1796D4—881no—
1797D4—881no—
1798D4—881no—
1799D4—881no—
1800D4—881no—
1801D4—881no—
1802D4—881no—
1803D4—881no—
1804D4—881no—
1805D4—881no—
1806D4—881no—
1807D4—881no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—41no—
1822C2×C4—41no—
1823C2×C4—41no—
1824C2×C4—42no—
1825C2×C4—81no—
1826C2×C4—81no—
1827C2×C4—111no—
1828C2×C4—111no—
1829C2×C4—111no—
1830C2×C4—111no—
1831C2×C4—111no—
1832C2×C4—111no—
1833C2×C4—221no—
1834C2×C4—221no—
1835C2×C4—221no—
1836C2×C4—221no—
1837C2×C4—221no—
1838C2×C4—221no—
1839C2×C4—221no—
1840C2×C4—442no—
1841C2×C4—442no—
1842C2×C4—881no—
1843C2×C4—881no—
1844C2×C4—881no—
1845C2×C4—881no—
1846C2×C4—881no—
1847C2×C4—881no—
1848C2×C4—881no—
1849C2×C4—881no—
1850C2×C4—881no—
1851C2×C4C2×D4×D1111yescharacteristic
1852C2×C4C2×D4×D1111yescharacteristic
1853C2×C4C2×D4×D1111yescharacteristic
1854C2×C4C24×D1111yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—221no—
1860C8—221no—
1861C8—221no—
1862C8—221no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—44no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—221no—
1876C22—221no—
1877C22—221no—
1878C22—221no—
1879C22—222no—
1880C22—222no—
1881C22—221no—
1882C22—221no—
1883C22—441no—
1884C22—441no—
1885C22—441no—
1886C22—441no—
1887C22—441no—
1888C22—441no—
1889C22—441no—
1890C22—441no—
1891C22—441no—
1892C22—441no—
1893C22—441no—
1894C22—441no—
1895C22—441no—
1896C22—884no—
1897C22—884no—
1898C22—884no—
1899C22—884no—
1900C22—884no—
1901C22—884no—
1902C22—1762no—
1903C22—1762no—
1904C22#1062330912yes—
1905C22C22×D4×D1111yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—41no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
1916C4—221no—
1917C4—221no—
1918C4—221no—
1919C4—221no—
1920C4—221no—
1921C4—221no—
1922C4—441no—
1923C4—441no—
1924C4—441no—
1925C4D11×H(5,𝔽2)11yescharacteristic
1926C4D11×H(5,𝔽2)11yescharacteristic
1927C2—22no—
1928C2—41no—
1929C2—41no—
1930C2—81no—
1931C2—441no—
1932C2—441no—
1933C2—442no—
1934C2—442no—
1935C2—881no—
1936C2—881no—
1937C2—881no—
1938C2#1308224811yescharacteristic
1939C2C2×#1062330911yescharacteristic
1940C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3196C2
socleC22×C11C23×D4
hypercenter#3196D11
hypocenterC11#61610
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3196

Complements

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

NH ≅ G/Ntype
1. #13082913C2semidirect
2. #13082249C2semidirect
3. #13080842C2semidirect
4. #13080838C2semidirect
5. #13080755C2semidirect
6. #13080695C2semidirect
7. #13080647C2semidirect
8. #13080632C2semidirect
9. #13080464C2semidirect
10. #13080438C2semidirect
11. #13080316C2semidirect
12. #13080305C2semidirect
13. #13080244C2semidirect
14. #13080213C2semidirect
15. #13080148C2semidirect
16. #13080119C2semidirect
17. #13080118C2semidirect
18. #13080104C2semidirect
19. #13079716C2semidirect
20. #13079686C2semidirect
21. #13079487C2semidirect
22. #13079474C2semidirect
23. #13079404C2semidirect
24. #13078864C2semidirect
25. #13078803C2semidirect
26. #13077924C2semidirect
27. #13077890C2semidirect
28. #13077846C2semidirect
29. C2×#10622659C2semidirect
30. #13077666C2semidirect
31. C11×#3196C2semidirect
35. C2×C11×C22⋊Q8C22semidirect
37. #10623348C22semidirect
38. Q8×C22⋊D11C22semidirect
39. C22×#4325C22semidirect
40. C22×#4325C22semidirect
42. #10623322C22semidirect
43. C2×#66972C22semidirect
44. C2×#66971C22semidirect
45. C2×#66967C22semidirect
46. C2×SD16×D11C22semidirect
47. C2×#66961C22semidirect
48. C2×#66961C22semidirect
53. #10623174C22semidirect
54. #10623172C22semidirect
56. #10623170C22semidirect
58. #10623164C22semidirect
59. #10623162C22semidirect
64. #10623160C22semidirect
65. #10623159C22semidirect
66. #10623156C22semidirect
80. #10623045C22semidirect
82. #10623042C22semidirect
85. C11×#485C22semidirect
86. C11×#485C22semidirect
87. C11×#484C22semidirect
88. C11×#481C22semidirect
89. C11×#470C22semidirect
90. C11×#470C22semidirect
91. C11×#468C22semidirect
92. C11×#468C22semidirect
93. C11×#452C22semidirect
94. C11×#452C22semidirect
95. C11×#451C22semidirect
96. C11×#448C22semidirect
97. C11×#407C22semidirect
98. #10622852C22semidirect
99. #10622851C22semidirect
100. C2×C22⋊(C11⋊C8)C22semidirect
101. #10622804C22semidirect
102. #10622803C22semidirect
103. #10622800C22semidirect
104. #10622800C22semidirect
105. #10622798C22semidirect
106. #10622798C22semidirect
107. #10622789C22semidirect
108. #10622788C22semidirect
109. #10622782C22semidirect
110. #10622782C22semidirect
111. #10622776C22semidirect
112. #10622776C22semidirect
113. #10622744C22semidirect
114. #10622744C22semidirect
115. #10622741C22semidirect
116. #10622741C22semidirect
117. #10622740C22semidirect
118. #10622740C22semidirect
119. #10622664C22semidirect
120. #10622661C22semidirect
121. #10622660C22semidirect
124. #10622659C22semidirect
125. #10622659C22semidirect
126. #10622659C22semidirect
127. #10622659C22semidirect
128. #10622659C22semidirect
129. #10622659C22semidirect
130. #10622658C22semidirect
131. #10622654C22semidirect
132. #10622651C22semidirect
133. #10622650C22semidirect
134. #10622648C22semidirect
135. #10622616C22semidirect
136. #10622609C22semidirect
137. C2×#66873C22semidirect
138. C2×#66873C22semidirect
139. #10622504C22semidirect
140. #10622503C22semidirect
141. #10622502C22semidirect
142. #10622499C22semidirect
143. #10622498C22semidirect
144. #10622496C22semidirect
145. #10622495C22semidirect
146. #10622485C22semidirect
147. #10622484C22semidirect
148. #10622483C22semidirect
149. #10622482C22semidirect
150. #10622479C22semidirect
151. #10622478C22semidirect
152. #10622477C22semidirect
153. #10622476C22semidirect
154. #10622465C22semidirect
155. #10622432C22semidirect
156. #10622432C22semidirect
157. #10622432C22semidirect
158. #10622431C22semidirect
159. #10622431C22semidirect
160. #10622430C22semidirect
161. #10622430C22semidirect
162. #10622425C22semidirect
163. #10622425C22semidirect
164. #10622424C22semidirect
165. #10622424C22semidirect
166. #10622424C22semidirect
167. #10622423C22semidirect
168. #10622420C22semidirect
169. #10622420C22semidirect
170. #10622419C22semidirect
171. #10622419C22semidirect
172. #10622417C22semidirect
173. #10622416C22semidirect
174. #10622413C22semidirect
175. #10622411C22semidirect
176. #10622408C22semidirect
177. #10622401C22semidirect
178. #10622401C22semidirect
179. #10622399C22semidirect
180. #10622389C22semidirect
181. #10622386C22semidirect
182. #10622383C22semidirect
183. D11×#102C22semidirect
184. #10622377C22semidirect
185. #10622375C22semidirect
186. #10622373C22semidirect
188. #10622345C22semidirect
189. #10622345C22semidirect
190. #10622345C22semidirect
192. #10622344C22semidirect
193. #10622344C22semidirect
194. #10622344C22semidirect
195. #10622343C22semidirect
196. #10622343C22semidirect
197. #10622340C22semidirect
198. #10622340C22semidirect
199. (C22⋊D11)⋊C8C22semidirect
200. (C22⋊D11)⋊C8C22semidirect
201. #10622333C22semidirect
202. #10622333C22semidirect
211. C2×#4343C23semidirect
212. C2×Q8×D11C23semidirect
236. C2×C11×Q16C23semidirect
237. C2×C11×Q16C23semidirect
238. C2×C11×SD16C23semidirect
239. C2×C11×SD16C23semidirect
266. #67000C23semidirect
269. #66999C23semidirect
270. #66999C23semidirect
271. Q8×Dic11C23semidirect
272. Q8×Dic11C23semidirect
274. #66997C23semidirect
275. C2×#4326C23semidirect
286. C2×#4325C23semidirect
295. C2×#4324C23semidirect
296. C2×#4323C23semidirect
342. C2×#4313C23semidirect
343. C2×#4313C23semidirect
344. C2×C8×D11C23semidirect
345. C2×C8×D11C23semidirect
350. #66950C23semidirect
363. #66948C23semidirect
376. #66946C23semidirect
378. #66945C23semidirect
380. C4⋊C4×D11C23semidirect
382. #66943C23semidirect
387. #66941C23semidirect
389. #66940C23semidirect
430. C11×#107C23semidirect
431. C11×#107C23semidirect
432. C11×#106C23semidirect
433. C11×#106C23semidirect
434. C11×#103C23semidirect
435. C11×#103C23semidirect
436. C11×#103C23semidirect
437. C11×#103C23semidirect
438. C11×#103C23semidirect
439. C11×#103C23semidirect
440. C11×#102C23semidirect
441. C11×#102C23semidirect
446. #66899C23semidirect
447. #66899C23semidirect
448. #66896C23semidirect
449. #66896C23semidirect
462. (C2×D11)⋊C8C23semidirect
463. (C2×D11)⋊C8C23semidirect
464. (C2×D11)⋊C8C23semidirect
465. (C2×D11)⋊C8C23semidirect
466. #66879C23semidirect
467. #66879C23semidirect
468. Dic11⋊C8C23semidirect
469. Dic11⋊C8C23semidirect
470. Dic11⋊C8C23semidirect
471. Dic11⋊C8C23semidirect
472. C8×Dic11C23semidirect
473. C8×Dic11C23semidirect
474. #66874C23semidirect
475. #66874C23semidirect
484. #66873C23semidirect
485. #66873C23semidirect
486. #66872C23semidirect
487. #66872C23semidirect
488. #66871C23semidirect
489. #66871C23semidirect
764. #3196D11semidirect
973. C2×C22⋊Q8C2×D11semidirect
987. #485C2×D11semidirect
988. #485C2×D11semidirect
989. #484C2×D11semidirect
995. #481C2×D11semidirect
1001. #470C2×D11semidirect
1002. #470C2×D11semidirect
1007. #468C2×D11semidirect
1008. #468C2×D11semidirect
1034. #452C2×D11semidirect
1035. #452C2×D11semidirect
1036. #451C2×D11semidirect
1059. #448C2×D11semidirect
1093. #407C2×D11semidirect
1198. C2×Q16C22×D11semidirect
1199. C2×Q16C22×D11semidirect
1217. C2×SD16C22×D11semidirect
1218. C2×SD16C22×D11semidirect
1388. #107C22×D11semidirect
1389. #107C22×D11semidirect
1392. #106C22×D11semidirect
1393. #106C22×D11semidirect
1402. #103C22×D11semidirect
1403. #103C22×D11semidirect
1404. #103C22×D11semidirect
1405. #103C22×D11semidirect
1406. #103C22×D11semidirect
1407. #103C22×D11semidirect
1428. #102C22×D11semidirect
1429. #102C22×D11semidirect
1711. C11#61610semidirect

Maximal subgroups

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

subgroupindex
#130829132
#130822492
#130808422
#130808382
#130807552
#130806952
#130806472
#130806322
#130804642
#130804382
#130803162
#130803052
#130802442
#130802132
#130801482
#130801192
#130801182
#130801042
#130797162
#130796862
#130794872
#130794742
#130794042
#130788642
#130788032
#130779242
#130778902
#130778462
C2×#106226592
#130776662
C11×#31962
#6161011