Finite Group Databasebeta

← #15647338

Subgroups — #15647338

Order 2816.

1902 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083133C211yesmaximal, characteristic, complemented
2#13082661C211yesmaximal, characteristic, complemented
3#13081686C211yesmaximal, characteristic, complemented
4#13081683C211yesmaximal, characteristic, complemented
5#13081407C211yesmaximal, characteristic, complemented
6#13081405C211yesmaximal, characteristic, complemented
7#13080723C211yesmaximal, characteristic, complemented
8#13080578C211yesmaximal, characteristic, complemented
9#13080575C211yesmaximal, characteristic, complemented
10#13080438C211yesmaximal, characteristic, complemented
11#13080434C211yesmaximal, characteristic, complemented
12#13080324C211yesmaximal, characteristic, complemented
13#13080316C211yesmaximal, characteristic, complemented
14#13080148C211yesmaximal, characteristic, complemented
15#13080145C211yesmaximal, characteristic, complemented
16#13080101C211yesmaximal, characteristic, complemented
17#13080093C211yesmaximal, characteristic, complemented
18#13080085C211yesmaximal, characteristic, complemented
19#13080082C211yesmaximal, characteristic, complemented
20#13079927C211yesmaximal, characteristic, complemented
21#13079716C211yesmaximal, characteristic, complemented
22#13079711C211yesmaximal, characteristic, complemented
23#13079618C211yesmaximal, characteristic, complemented
24#13078891C211yesmaximal, characteristic, complemented
25#13078888C211yesmaximal, characteristic, complemented
26#13078704C211yesmaximal, characteristic, complemented
27#13078158C211yesmaximal, characteristic, complemented
28#13078154C211yesmaximal, characteristic, complemented
29C2×#10622432C211yesmaximal, characteristic, complemented
30#13077756C211yesmaximal, characteristic, complemented
31C11×#3316C211yesmaximal, characteristic, complemented
32C11×#554C2211yescharacteristic, complemented
33C11×#548C2211yescharacteristic
34#10623361C2211yescharacteristic, complemented
35#10623360C2211yescharacteristic, complemented
36C2×#67003C2211yescharacteristic, complemented
37#10623348C2211yescharacteristic
38C2×#67000C2211yescharacteristic
39C22×#4325C2211yescharacteristic, complemented
40C2×#66972C2211yescharacteristic, complemented
41C2×#66967C2211yescharacteristic, complemented
42C2×#66961C2211yescharacteristic, complemented
43C22×D88C2211yescharacteristic
44#10623264C2211yescharacteristic, complemented
45#10623258C2211yescharacteristic, complemented
46#10623224—21no—
47#10623223—21no—
48#10623214—21no—
49#10623212C2211yescharacteristic, complemented
50#10623209—21no—
51#10623205C2211yescharacteristic, complemented
52#10623178—21no—
53#10623175—21no—
54#10623174C2211yescharacteristic, complemented
55#10623174C2211yescharacteristic, complemented
56#10623169—21no—
57#10623168—21no—
58#10623164—21no—
59#10623162C2211yescharacteristic, complemented
60#10623161C2211yescharacteristic, complemented
61#10623161C2211yescharacteristic, complemented
62D11×C22⋊Q8—21no—
63#10623153C2211yescharacteristic, complemented
64#10623141—21no—
65#10623140C2211yescharacteristic
66#10623136—21no—
67#10623127C2211yescharacteristic
68#10623116C2211yescharacteristic, complemented
69#10623113C2211yescharacteristic, complemented
70#10623105C2211yescharacteristic, complemented
71#10623099C2211yescharacteristic, complemented
72#10623091—21no—
73#10623087—21no—
74#10623085—21no—
75#10623081C2211yescharacteristic, complemented
76D4×D44C2211yescharacteristic
77#10623078—21no—
78#10623069C2211yescharacteristic
79#10623042C2211yescharacteristic, complemented
80#10623038C2211yescharacteristic, complemented
81#10623035C2211yescharacteristic, complemented
82C2×#66946C2211yescharacteristic, complemented
83C11×#489C2211yescharacteristic, complemented
84C11×#483C2211yescharacteristic, complemented
85C11×#481C2211yescharacteristic, complemented
86C11×#475C2211yescharacteristic, complemented
87C11×#470C2211yescharacteristic, complemented
88C11×#465C2211yescharacteristic, complemented
89C11×#464C2211yescharacteristic, complemented
90C11×#452C2211yescharacteristic, complemented
91C11×#451C2211yescharacteristic, complemented
92C11×#441C2211yescharacteristic, complemented
93C11×#435C2211yescharacteristic, complemented
94C11×#417C2211yescharacteristic, complemented
95C2×C11×#103C2211yescharacteristic, complemented
96#10622851C2211yescharacteristic, complemented
97#10622841C2211yescharacteristic, complemented
98#10622804C2211yescharacteristic, complemented
99#10622803C2211yescharacteristic, complemented
100#10622803C2211yescharacteristic, complemented
101#10622800C2211yescharacteristic, complemented
102#10622798C2211yescharacteristic, complemented
103#10622798C2211yescharacteristic, complemented
104#10622798C2211yescharacteristic, complemented
105#10622789C2211yescharacteristic
106#10622776C2211yescharacteristic, complemented
107#10622775C2211yescharacteristic, complemented
108#10622748C2211yescharacteristic
109#10622740C2211yescharacteristic, complemented
110#10622732C2211yescharacteristic, complemented
111#10622727C2211yescharacteristic, complemented
112#10622724C2211yescharacteristic, complemented
113C2×Dic11⋊C8C2211yescharacteristic, complemented
114#10622701C2211yescharacteristic, complemented
115#10622697C2211yescharacteristic, complemented
116#10622672C2211yescharacteristic, complemented
117#10622670C2211yescharacteristic, complemented
118#10622661C2211yescharacteristic, complemented
119#10622661C2211yescharacteristic, complemented
120#10622661C2211yescharacteristic, complemented
121#10622660C2211yescharacteristic, complemented
122#10622659C2211yescharacteristic
123#10622659C2211yescharacteristic, complemented
124#10622654C2211yescharacteristic, complemented
125#10622649C2211yescharacteristic, complemented
126#10622641C2211yescharacteristic, complemented
127#10622640C2211yescharacteristic, complemented
128C4×#4325C2211yescharacteristic, complemented
129C4×#4325C2211yescharacteristic, complemented
130D4×C11⋊C8C2211yescharacteristic, complemented
131#10622581C2211yescharacteristic, complemented
132#10622581C2211yescharacteristic, complemented
133C2×#66873C2211yescharacteristic
134C2×#66873C2211yescharacteristic, complemented
135#10622483C2211yescharacteristic, complemented
136#10622483C2211yescharacteristic, complemented
137#10622483C2211yescharacteristic, complemented
138#10622483C2211yescharacteristic, complemented
139#10622482C2211yescharacteristic, complemented
140#10622482C2211yescharacteristic, complemented
141#10622482C2211yescharacteristic, complemented
142#10622478C2211yescharacteristic
143#10622477C2211yescharacteristic, complemented
144#10622476C2211yescharacteristic, complemented
145#10622467C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622457C2211yescharacteristic, complemented
148#10622456C2211yescharacteristic
149#10622452C2211yescharacteristic, complemented
150#10622444C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622432C2211yescharacteristic, complemented
153#10622432C2211yescharacteristic, complemented
154#10622432C2211yescharacteristic, complemented
155#10622432C2211yescharacteristic, complemented
156#10622432C2211yescharacteristic, complemented
157#10622432C2211yescharacteristic, complemented
158#10622432C2211yescharacteristic, complemented
159#10622432C2211yescharacteristic, complemented
160#10622432C2211yescharacteristic, complemented
161#10622431C2211yescharacteristic, complemented
162#10622429C2211yescharacteristic, complemented
163#10622424C2211yescharacteristic
164#10622424C2211yescharacteristic, complemented
165#10622423C2211yescharacteristic, complemented
166#10622420C2211yescharacteristic, complemented
167#10622418C2211yescharacteristic, complemented
168#10622416C2211yescharacteristic, complemented
169#10622411C2211yescharacteristic, complemented
170#10622411C2211yescharacteristic, complemented
171#10622411C2211yescharacteristic, complemented
172#10622408C2211yescharacteristic, complemented
173#10622408C2211yescharacteristic, complemented
174#10622408C2211yescharacteristic, complemented
175#10622404C2211yescharacteristic, complemented
176#10622404C2211yescharacteristic, complemented
177#10622402C2211yescharacteristic, complemented
178#10622401C2211yescharacteristic, complemented
179#10622399C2211yescharacteristic
180#10622399C2211yescharacteristic, complemented
181#10622399C2211yescharacteristic, complemented
182#10622398C2211yescharacteristic, complemented
183#10622398C2211yescharacteristic, complemented
184#10622389C2211yescharacteristic, complemented
185#10622386C2211yescharacteristic, complemented
186D11×#102C2211yescharacteristic, complemented
187#10622375C2211yescharacteristic, complemented
188#10622375C2211yescharacteristic, complemented
189#10622374C2211yescharacteristic, complemented
190#10622373C2211yescharacteristic, complemented
191#10622347C2211yescharacteristic
192#10622345C2211yescharacteristic, complemented
193#10622345C2211yescharacteristic, complemented
194#10622344C2211yescharacteristic
195#10622343C2211yescharacteristic, complemented
196(C22⋊D11)⋊C8C2211yescharacteristic, complemented
197#10622333C2211yescharacteristic, complemented
198#10622332C2211yescharacteristic, complemented
199#10622325C2211yescharacteristic
200#10622324C2211yescharacteristic, complemented
201#10622322C2211yescharacteristic, complemented
202#10622314C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205C2×#4343C2311yescharacteristic
206C2×#4343C2311yescharacteristic
207C2×Q8×D11—21no—
208C2×#4341—21no—
209C2×D4×D11—21no—
210C2×D4×D11—21no—
211C2×D4×D11C2311yescharacteristic
212C2×#4339—21no—
213C2×#4339C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×C4×D11—21no—
218C2×C11×Q16C2311yescharacteristic
219C2×C11×Q16C2311yescharacteristic
220C2×C11×SD16C2311yescharacteristic
221C2×C11×M16C2311yescharacteristic
222C22×C8×C11C2311yescharacteristic
223C11×C4⋊Q8C2311yescharacteristic
224C11×#125—21no—
225C11×#124—21no—
226C11×#124C2311yescharacteristic
227C11×C22⋊Q8—21no—
228C11×C22⋊Q8—21no—
229C11×C22⋊Q8—21no—
230C11×C22⋊Q8C2311yescharacteristic
231C11×C22⋊Q8C2311yescharacteristic
232C11×C22⋊Q8C2311yescharacteristic
233C11×#121—21no—
234C11×#121C2311yescharacteristic
235C4×Q8×C11C2311yescharacteristic
236C4×Q8×C11C2311yescharacteristic
237C4×D4×C11—21no—
238C4×D4×C11—21no—
239C4×D4×C11C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242#67003—42no—
243#67000—21no—
244#67000—21no—
245#67000—21no—
246#67000—21no—
247#67000C2311yescharacteristic
248#67000C2311yescharacteristic
249#67000C2311yescharacteristic
250#67000C2311yescharacteristic
251#67000C2311yescharacteristic
252#67000C2311yescharacteristic
253#66999—21no—
254#66999—21no—
255#66999—21no—
256#66999C2311yescharacteristic
257Q8×Dic11C2311yescharacteristic
258Q8×Dic11C2311yescharacteristic
259#66997C2311yescharacteristic
260C2×#4326C2311yescharacteristic
261C2×#4326C2311yescharacteristic
262C2×#4325—42no—
263C2×#4325C2311yescharacteristic
264C2×#4325C2311yescharacteristic
265C2×#4325C2311yescharacteristic
266C2×#4325C2311yescharacteristic
267C2×#4325C2311yescharacteristic
268C2×#4325C2311yescharacteristic
269C2×#4325C2311yescharacteristic
270#66993C2311yescharacteristic
271#66993C2311yescharacteristic
272#66992—21no—
273#66992—21no—
274#66992D411yescharacteristic
275#66990—21no—
276#66990—21no—
277#66990—21no—
278#66990—21no—
279#66990—21no—
280#66988D411yescharacteristic
281D4×Dic11C2311yescharacteristic
282C2×#4324C2311yescharacteristic
283C2×#4323C2311yescharacteristic
284C2×#4323C2311yescharacteristic
285#66983—21no—
286#66983—21no—
287#66983—21no—
288#66983C2311yescharacteristic
289#66983C2311yescharacteristic
290#66983C2311yescharacteristic
291#66982—21no—
292#66982—21no—
293C4×C22⋊D11—21no—
294C4×C22⋊D11—21no—
295C4×C22⋊D11—21no—
296C4×C22⋊D11—21no—
297C4×C22⋊D11C2311yescharacteristic
298C4×C22⋊D11C2311yescharacteristic
299C2×(C2×D11)⋊C4—21no—
300C2×(C2×D11)⋊C4—21no—
301C2×(C2×D11)⋊C4—21no—
302C2×(C2×D11)⋊C4—21no—
303#66979C2311yescharacteristic
304#66977—21no—
305#66977C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C22×C11⋊C8C2311yescharacteristic
308C22×C11⋊C8C2311yescharacteristic
309#66972—42no—
310#66967—42no—
311#66961—42no—
312C2×D88—42no—
313C2×D88C2311yescharacteristic
314C2×D88C2311yescharacteristic
315C2×D88C2311yescharacteristic
316C2×D88C2311yescharacteristic
317C2×D88C2311yescharacteristic
318C2×D88C2311yescharacteristic
319C2×#4314C2311yescharacteristic
320C2×#4314C2311yescharacteristic
321C2×#4314C2311yescharacteristic
322C2×#4313C2311yescharacteristic
323C2×C8×D11C2311yescharacteristic
324#66951—21no—
325#66951—21no—
326#66951—21no—
327#66951—21no—
328#66951D411yescharacteristic
329#66950—21no—
330#66950—21no—
331#66950C2311yescharacteristic
332#66949—21no—
333#66949—21no—
334#66949—21no—
335#66949—21no—
336#66949—21no—
337#66949—21no—
338#66948—21no—
339#66948—21no—
340#66948—21no—
341#66948C2311yescharacteristic
342#66948C2311yescharacteristic
343#66947—21no—
344#66947—21no—
345#66947—21no—
346#66947—21no—
347#66947—21no—
348#66947—21no—
349#66947—21no—
350#66947—21no—
351#66947—21no—
352#66946—21no—
353#66946—21no—
354#66946—21no—
355#66946C2311yescharacteristic
356#66946C2311yescharacteristic
357#66946C2311yescharacteristic
358#66946C2311yescharacteristic
359#66946C2311yescharacteristic
360#66946C2311yescharacteristic
361#66946C2311yescharacteristic
362#66945—21no—
363C4⋊C4×D11—21no—
364C4⋊C4×D11—21no—
365C4⋊C4×D11—21no—
366C4⋊C4×D11C2311yescharacteristic
367#66942—21no—
368#66942—21no—
369#66942D411yescharacteristic
370#66941C2311yescharacteristic
371#66941C2311yescharacteristic
372#66941C2311yescharacteristic
373#66940—21no—
374#66940C2311yescharacteristic
375#66940C2311yescharacteristic
376#66939—21no—
377#66939D411yescharacteristic
378#66938—21no—
379#66938—21no—
380#66938—21no—
381#66938—21no—
382#66938D411yescharacteristic
383#66937—21no—
384#66937—21no—
385#66937—21no—
386#66937—21no—
387#66937—21no—
388#66936—21no—
389#66936—21no—
390#66936—21no—
391#66936—21no—
392#66935—21no—
393#66935—21no—
394#66935—21no—
395#66935—21no—
396#66935—21no—
397#66935—21no—
398#66935—21no—
399(C22⋊D11)⋊C4—21no—
400(C22⋊D11)⋊C4—21no—
401C22⋊C4×D11—21no—
402C22⋊C4×D11—21no—
403C22⋊C4×D11—21no—
404#66932D411yescharacteristic
405#66931—21no—
406#66931D411yescharacteristic
407#66930—21no—
408#66929—21no—
409#66929—21no—
410#66928—21no—
411#66928—21no—
412#66928C2311yescharacteristic
413#66927C2311yescharacteristic
414C4×D44—21no—
415C4×D44—21no—
416C4×D44C2311yescharacteristic
417C4×D44C2311yescharacteristic
418#66925—21no—
419#66925—21no—
420#66925C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×#106C2311yescharacteristic
423C11×#106C2311yescharacteristic
424C11×#106C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#103C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#102C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×C22⋊C8C2311yescharacteristic
437C11×C22⋊C8C2311yescharacteristic
438C11×#97C2311yescharacteristic
439#66899C2311yescharacteristic
440#66899C2311yescharacteristic
441#66899C2311yescharacteristic
442#66896C2311yescharacteristic
443C22⋊(C11⋊C8)C2311yescharacteristic
444C22⋊(C11⋊C8)C2311yescharacteristic
445#66885C2311yescharacteristic
446#66885C2311yescharacteristic
447#66885C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450(C2×D11)⋊C8C2311yescharacteristic
451(C2×D11)⋊C8C2311yescharacteristic
452#66881C2311yescharacteristic
453#66880C2311yescharacteristic
454#66879C2311yescharacteristic
455#66879C2311yescharacteristic
456#66879C2311yescharacteristic
457Dic11⋊C8C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462Dic11⋊C8C2311yescharacteristic
463Dic11⋊C8C2311yescharacteristic
464Dic11⋊C8C2311yescharacteristic
465C8×Dic11C2311yescharacteristic
466#66874C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66873C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66872C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66872C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#62018—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11—21no—
487C23×D11—21no—
488C23×D11—21no—
489C11×#41—41no—
490C11×#41—41no—
491C2×Q8×C11—21no—
492C2×Q8×C11—21no—
493C2×Q8×C11—41no—
494C2×Q8×C11—41no—
495C2×Q8×C11C2411yescharacteristic
496C2×Q8×C11C2411yescharacteristic
497C2×Q8×C11C2411yescharacteristic
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11C2×D411yescharacteristic
501C2×D4×C11C2411yescharacteristic
502C22×C4×C11—21no—
503C22×C4×C11—21no—
504C22×C4×C11—21no—
505C22×C4×C11—21no—
506C22×C4×C11C2411yescharacteristic
507C22×C4×C11C2411yescharacteristic
508C2×C22⋊D11—21no—
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11C2×D411yescharacteristic
518C2×C22⋊D11C2×D411yescharacteristic
519C22×Dic11—21no—
520C22×Dic11C2×D411yescharacteristic
521C22×Dic11C2×D411yescharacteristic
522#4343—22no—
523#4343—41no—
524#4343—41no—
525#4343—41no—
526Q8×D11—82no—
527#4341—82no—
528D4×D11—41no—
529D4×D11—41no—
530D4×D11—82no—
531D4×D11—82no—
532#4339—22no—
533#4339—41no—
534#4339—82no—
535C2×D44—21no—
536C2×D44—21no—
537C2×D44—21no—
538C2×D44—21no—
539C2×D44—22no—
540C2×D44—21no—
541C2×D44—21no—
542C2×D44—21no—
543C2×D44—21no—
544C2×D44—21no—
545C2×D44—41no—
546C2×D44—41no—
547C2×D44—41no—
548C2×D44—41no—
549C2×D44—41no—
550C2×D44C2411yescharacteristic
551C2×D44C2411yescharacteristic
552C2×D44C2411yescharacteristic
553C2×D44C2411yescharacteristic
554C2×D44C2411yescharacteristic
555C2×C4×D11—21no—
556C2×C4×D11—21no—
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11—21no—
564C2×C4×D11—21no—
565C2×C4×D11—21no—
566C2×C4×D11—21no—
567C2×C4×D11—21no—
568C2×C4×D11—82no—
569C2×C4×D11C2411yescharacteristic
570C2×Dic22—21no—
571C2×Dic22—21no—
572C2×Dic22—21no—
573C2×Dic22C2×D411yescharacteristic
574C2×Dic22C2411yescharacteristic
575C11×Q16—41no—
576C11×Q16—41no—
577C11×SD16—41no—
578C11×M16—41no—
579C2×C8×C11—41no—
580C2×C8×C11C2411yescharacteristic
581C2×C8×C11C2411yescharacteristic
582C2×C8×C11C2411yescharacteristic
583C2×C8×C11C2411yescharacteristic
584C11×C4⋊C4—21no—
585C11×C4⋊C4—21no—
586C11×C4⋊C4—21no—
587C11×C4⋊C4—21no—
588C11×C4⋊C4—21no—
589C11×C4⋊C4—21no—
590C11×C4⋊C4—21no—
591C11×C4⋊C4—21no—
592C11×C4⋊C4C2×D411yescharacteristic
593C11×C4⋊C4C2411yescharacteristic
594C11×C4⋊C4C2411yescharacteristic
595C11×C4⋊C4C2411yescharacteristic
596C11×C4⋊C4C2411yescharacteristic
597C11×C22⋊C4—21no—
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4—21no—
601C11×C22⋊C4—21no—
602C11×C22⋊C4—21no—
603C11×C22⋊C4C2×D411yescharacteristic
604C11×C22⋊C4C2×D411yescharacteristic
605C42×C11—21no—
606C42×C11—21no—
607C42×C11C2411yescharacteristic
608C22⋊Dic11—21no—
609C22⋊Dic11—21no—
610C22⋊Dic11C2×D411yescharacteristic
611C22⋊Dic11C2×D411yescharacteristic
612C22⋊Dic11C2×D411yescharacteristic
613C22⋊Dic11C2×D411yescharacteristic
614#4326—41no—
615#4326—41no—
616#4325—22no—
617#4325—22no—
618#4325—41no—
619#4325—41no—
620#4325—41no—
621#4325—41no—
622#4325—41no—
623#4324—41no—
624#4323—22no—
625#4323—41no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
642(C2×D11)⋊C4—21no—
643(C2×D11)⋊C4—21no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4—21no—
648(C2×D11)⋊C4—21no—
649(C2×D11)⋊C4—21no—
650(C2×D11)⋊C4—21no—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4C2×D411yescharacteristic
657(C2×D11)⋊C4C2×D411yescharacteristic
658(C2×D11)⋊C4C2×D411yescharacteristic
659(C2×D11)⋊C4C2×D411yescharacteristic
660C4⋊Dic11—21no—
661C4⋊Dic11—21no—
662C4⋊Dic11—21no—
663C4⋊Dic11C2×D411yescharacteristic
664C4⋊Dic11C2×D411yescharacteristic
665C4⋊Dic11C2×D411yescharacteristic
666C4⋊Dic11C2411yescharacteristic
667C4⋊Dic11C2411yescharacteristic
668Dic11⋊C4—21no—
669Dic11⋊C4—21no—
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4—21no—
677Dic11⋊C4—21no—
678Dic11⋊C4C2×D411yescharacteristic
679Dic11⋊C4C2×D411yescharacteristic
680Dic11⋊C4C2×D411yescharacteristic
681Dic11⋊C4C2×D411yescharacteristic
682Dic11⋊C4C2×D411yescharacteristic
683Dic11⋊C4C2×D411yescharacteristic
684C4×Dic11—21no—
685C4×Dic11—21no—
686C4×Dic11—21no—
687C4×Dic11—21no—
688C4×Dic11C2×D411yescharacteristic
689C4×Dic11C2×D411yescharacteristic
690C4×Dic11C2411yescharacteristic
691C4×Dic11C2411yescharacteristic
692C4×Dic11C2411yescharacteristic
693C2×C11⋊C8—41no—
694C2×C11⋊C8—41no—
695C2×C11⋊C8C2411yescharacteristic
696C2×C11⋊C8C2411yescharacteristic
697C2×C11⋊C8C2411yescharacteristic
698C2×C11⋊C8C2411yescharacteristic
699D88—22no—
700D88—22no—
701D88—22no—
702D88—41no—
703D88—41no—
704D88—41no—
705#4314—41no—
706#4314—41no—
707#4314—41no—
708#4313—41no—
709C8×D11—41no—
710#3558—111no—
711#3520—111no—
712#3401—111no—
713#3401—111no—
714#3373—111no—
715#3373—111no—
716#3316—111no—
717#3316D1111yescharacteristic, complemented
718#3306—111no—
719#3306—111no—
720#3295—111no—
721#3295—111no—
722#3282—111no—
723#3282—111no—
724#3267—111no—
725#3267—111no—
726#3264—111no—
727#3264—111no—
728#3263—111no—
729#3263—111no—
730#3246—111no—
731#3224—111no—
732#3224—111no—
733#3215—111no—
734#3125—111no—
735#3125—111no—
736#3109—111no—
737#3045—111no—
738#3045—111no—
739C2×#463—111no—
740#2992—111no—
741C23×C11—21no—
742C23×C11C22×D411yescharacteristic
743C23×C11C22×D411yescharacteristic
744C22×D11—21no—
745C22×D11—21no—
746C22×D11—21no—
747C22×D11—21no—
748C22×D11—21no—
749C22×D11—42no—
750C22×D11—42no—
751C22×D11—42no—
752C22×D11—81no—
753C22×D11—81no—
754C22×D11—81no—
755C22×D11—81no—
756C22×D11—81no—
757C22×D11—81no—
758C22×D11—81no—
759C22×D11—81no—
760C22×D11—81no—
761C22×D11C22×D411yescharacteristic
762Q8×C11—21no—
763Q8×C11—21no—
764Q8×C11—21no—
765Q8×C11—21no—
766Q8×C11—21no—
767Q8×C11—21no—
768Q8×C11—81no—
769Q8×C11—81no—
770D4×C11—22no—
771D4×C11—21no—
772D4×C11—21no—
773D4×C11—42no—
774D4×C11—81no—
775C2×C4×C11—21no—
776C2×C4×C11—21no—
777C2×C4×C11—21no—
778C2×C4×C11—21no—
779C2×C4×C11—21no—
780C2×C4×C11—21no—
781C2×C4×C11—21no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—21no—
785C2×C4×C11—21no—
786C2×C4×C11—81no—
787C2×C4×C11—81no—
788C2×C4×C11—81no—
789C2×C4×C11—81no—
790C2×C4×C11C22×D411yescharacteristic
791C2×C4×C11C22×D411yescharacteristic
792C2×C4×C11C22×D411yescharacteristic
793C2×C4×C11C22×D411yescharacteristic
794C2×C4×C11C2511yescharacteristic
795C22⋊D11—22no—
796C22⋊D11—41no—
797C22⋊D11—42no—
798C22⋊D11—42no—
799C22⋊D11—81no—
800C22⋊D11—81no—
801C22⋊D11—81no—
802C22⋊D11—81no—
803C22⋊D11—81no—
804C22⋊D11—81no—
805C22⋊D11—81no—
806C2×Dic11—22no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—41no—
811C2×Dic11—81no—
812C2×Dic11C22×D411yescharacteristic
813C2×Dic11C22×D411yescharacteristic
814C2×Dic11C22×D411yescharacteristic
815C2×Dic11C22×D411yescharacteristic
816C2×Dic11C22×D411yescharacteristic
817C2×Dic11C22×D411yescharacteristic
818C2×Dic11C22×D411yescharacteristic
819D44—21no—
820D44—21no—
821D44—21no—
822D44—21no—
823D44—21no—
824D44—21no—
825D44—21no—
826D44—21no—
827D44—21no—
828D44—42no—
829D44—42no—
830D44—81no—
831D44—81no—
832D44—81no—
833D44—81no—
834D44—81no—
835D44—81no—
836D44—81no—
837D44H(5,𝔽2)12yes—
838C4×D11—21no—
839C4×D11—21no—
840C4×D11—42no—
841C4×D11—42no—
842C4×D11—42no—
843C4×D11—42no—
844C4×D11—81no—
845C4×D11—81no—
846C4×D11—81no—
847C4×D11—81no—
848C4×D11—81no—
849C4×D11—81no—
850C4×D11—81no—
851C4×D11—81no—
852C4×D11—81no—
853Dic22—21no—
854Dic22—21no—
855Dic22—41no—
856Dic22—42no—
857Dic22—81no—
858Dic22—81no—
859C8×C11—21no—
860C8×C11—21no—
861C8×C11—21no—
862C8×C11—21no—
863C11⋊C8—21no—
864C11⋊C8—21no—
865C11⋊C8—21no—
866C11⋊C8—21no—
867C2×AGL(1,ℤ/8)—111no—
868C2×AGL(1,ℤ/8)—111no—
869C2×#135—111no—
870C2×#135—111no—
871C22×SD16—111no—
872C22×D8—111no—
873#562—221no—
874H(3,𝔽4)—221no—
875#559—111no—
876#559—111no—
877#556—111no—
878#554—111no—
879#554C2×D1111yescharacteristic, complemented
880#552—221no—
881#551—221no—
882#551—221no—
883D4×Q8—111no—
884#548—111no—
885#548—221no—
886#548C2×D1111yescharacteristic
887#547—111no—
888#547—111no—
889#546—111no—
890#546—111no—
891#546—111no—
892#546—111no—
893#546—221no—
894#546—221no—
895D42—111no—
896D42—111no—
897#542—111no—
898#542—111no—
899#542—111no—
900#542—111no—
901#539—221no—
902#539—221no—
903#538—221no—
904#538—221no—
905#538—221no—
906#535—111no—
907#535—111no—
908#534—221no—
909#533—111no—
910#532—111no—
911#529—111no—
912C2×#124—111no—
913#525—221no—
914C2×C22⋊Q8—221no—
915#520—111no—
916#520—111no—
917C2×C4×D4—111no—
918#497—111no—
919#497—111no—
920#496—111no—
921#496—111no—
922#495—111no—
923#495—111no—
924#489—111no—
925#489—111no—
926#489—111no—
927#489C2×D1111yescharacteristic, complemented
928#486—111no—
929#486—111no—
930#483—111no—
931#483C2×D1111yescharacteristic, complemented
932#481—111no—
933#481—111no—
934#481—111no—
935#481C2×D1111yescharacteristic, complemented
936#476—111no—
937#476—111no—
938#476—111no—
939#476—111no—
940#476—111no—
941#476—111no—
942#475—111no—
943#475—111no—
944#475—111no—
945#475C2×D1111yescharacteristic, complemented
946#470—111no—
947#470C2×D1111yescharacteristic, complemented
948#469—111no—
949#469—111no—
950#465—111no—
951#465—111no—
952#465—111no—
953#465—111no—
954#465—111no—
955#465—111no—
956#465—111no—
957#465C2×D1111yescharacteristic, complemented
958#464—111no—
959#464—111no—
960#464—111no—
961#464—111no—
962#464—111no—
963#464—111no—
964#464—111no—
965#464C2×D1111yescharacteristic, complemented
966#463—111no—
967#463—111no—
968#463—111no—
969#463—111no—
970#463—111no—
971#463—111no—
972#463—111no—
973#463—111no—
974#463—111no—
975#463—111no—
976#463—111no—
977#463—111no—
978#461—111no—
979#461—111no—
980#460—111no—
981#460—111no—
982#460—111no—
983#460—111no—
984#459—111no—
985#459—111no—
986#459—111no—
987#459—111no—
988#452—111no—
989#452—111no—
990#452—111no—
991#452C2×D1111yescharacteristic, complemented
992#451—111no—
993#451C2×D1111yescharacteristic, complemented
994#450—111no—
995#450—111no—
996#450—111no—
997#450—111no—
998#449—111no—
999#449—111no—
1000#449—111no—
1001#449—111no—
1002#447—111no—
1003#447—111no—
1004#447—111no—
1005#447—111no—
1006#446—111no—
1007#446—111no—
1008#442—111no—
1009#442—111no—
1010#442—111no—
1011#442—111no—
1012#442—111no—
1013#442—111no—
1014#441—111no—
1015#441C2×D1111yescharacteristic, complemented
1016C4×SD16—111no—
1017C4×SD16—111no—
1018C4×SD16—111no—
1019C4×SD16—111no—
1020#435—111no—
1021#435—111no—
1022#435—111no—
1023#435C2×D1111yescharacteristic, complemented
1024C8×D4—111no—
1025C8×D4—111no—
1026#433—111no—
1027#433—111no—
1028#432—111no—
1029#424—111no—
1030#424—111no—
1031C2×C4⋊C8—111no—
1032#417—111no—
1033#417C2×D1111yescharacteristic, complemented
1034C2×#103C2×D1111yescharacteristic, complemented
1035C2×#102—111no—
1036C2×#102—111no—
1037C2×#102—111no—
1038C22×C11—21no—
1039C22×C11—21no—
1040C22×C11—21no—
1041C22×C11—21no—
1042C22×C11—21no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11#57712yes—
1047C22×C11C23×D411yescharacteristic
1048C2×D11—21no—
1049C2×D11—22no—
1050C2×D11—21no—
1051C2×D11—21no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—41no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—41no—
1066C2×D11—84no—
1067C2×D11—162no—
1068C2×D11—162no—
1069C2×D11—162no—
1070C4×C11—21no—
1071C4×C11—21no—
1072C4×C11—21no—
1073C4×C11—21no—
1074C4×C11—41no—
1075C4×C11—41no—
1076C4×C11—41no—
1077C4×C11—41no—
1078C4×C11—41no—
1079C4×C11—41no—
1080C4×C11—41no—
1081C4×C11C2×H(5,𝔽2)11yescharacteristic
1082C4×C11#58511yescharacteristic
1083Dic11—21no—
1084Dic11—21no—
1085Dic11—21no—
1086Dic11—21no—
1087Dic11—21no—
1088Dic11—21no—
1089Dic11—21no—
1090Dic11—41no—
1091Dic11—41no—
1092Dic11—41no—
1093C2×#41—111no—
1094C2×#41—111no—
1095C2×#41—111no—
1096C2×#41—221no—
1097C2×#41—221no—
1098C2×#41C22×D1111yescharacteristic
1099C22×Q8—221no—
1100C22×Q8C22×D1111yescharacteristic
1101C22×D4—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—111no—
1105C22×D4—221no—
1106C22×D4—221no—
1107C23×C4—221no—
1108AGL(1,ℤ/8)—442no—
1109AGL(1,ℤ/8)—442no—
1110#135—442no—
1111#135—442no—
1112C2×Q16—111no—
1113C2×Q16—111no—
1114C2×Q16C22×D1111yescharacteristic
1115C2×Q16C22×D1111yescharacteristic
1116C2×SD16—111no—
1117C2×SD16—111no—
1118C2×SD16—111no—
1119C2×SD16—111no—
1120C2×SD16—111no—
1121C2×SD16—111no—
1122C2×SD16—111no—
1123C2×SD16—111no—
1124C2×SD16—111no—
1125C2×SD16—111no—
1126C2×SD16—111no—
1127C2×SD16—442no—
1128C2×SD16C22×D1111yescharacteristic
1129C2×D8—111no—
1130C2×D8—111no—
1131C2×D8—111no—
1132C2×D8—111no—
1133C2×D8—111no—
1134C2×D8—111no—
1135C2×D8—111no—
1136C2×D8—111no—
1137C2×D8—442no—
1138C2×M16—111no—
1139C2×M16C22×D1111yescharacteristic
1140C22×C8—111no—
1141C22×C8—111no—
1142C22×C8—111no—
1143C22×C8C22×D1111yescharacteristic
1144C4⋊Q8—111no—
1145C4⋊Q8—111no—
1146C4⋊Q8—111no—
1147C4⋊Q8—111no—
1148C4⋊Q8C22×D1111yescharacteristic
1149#127—111no—
1150#127—111no—
1151#127—111no—
1152#126—111no—
1153#126—111no—
1154#126—221no—
1155#126—221no—
1156#126—221no—
1157#126—221no—
1158#126—221no—
1159#126—221no—
1160#125—21no—
1161#125—111no—
1162#125—221no—
1163#125—221no—
1164#124—21no—
1165#124—111no—
1166#124—111no—
1167#124—111no—
1168#124—111no—
1169#124—111no—
1170#124—111no—
1171#124—111no—
1172#124—111no—
1173#124—221no—
1174#124—221no—
1175#124—221no—
1176#124—221no—
1177#124—221no—
1178#124—221no—
1179#124—221no—
1180#124—221no—
1181#124—221no—
1182#124—221no—
1183#124C22×D1111yescharacteristic
1184#123—111no—
1185#123—111no—
1186#123—221no—
1187#123—221no—
1188#123—221no—
1189#123—221no—
1190#123—221no—
1191#123—221no—
1192#123—221no—
1193#123—221no—
1194#123—221no—
1195#123—221no—
1196#123—221no—
1197#123—221no—
1198#123—221no—
1199#123—221no—
1200#123—221no—
1201#123—221no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—111no—
1206C22⋊Q8—111no—
1207C22⋊Q8—111no—
1208C22⋊Q8—111no—
1209C22⋊Q8—221no—
1210C22⋊Q8—221no—
1211C22⋊Q8—221no—
1212C22⋊Q8—221no—
1213C22⋊Q8—221no—
1214C22⋊Q8—221no—
1215C22⋊Q8—221no—
1216C22⋊Q8—221no—
1217C22⋊Q8—221no—
1218C22⋊Q8—221no—
1219C22⋊Q8—221no—
1220C22⋊Q8—221no—
1221C22⋊Q8—221no—
1222C22⋊Q8C22×D1111yescharacteristic
1223C22⋊Q8C22×D1111yescharacteristic
1224C22⋊Q8C22×D1111yescharacteristic
1225#121—21no—
1226#121—111no—
1227#121—111no—
1228#121—111no—
1229#121—111no—
1230#121—111no—
1231#121—111no—
1232#121—221no—
1233#121—221no—
1234#121—221no—
1235#121—221no—
1236#121—221no—
1237#121—221no—
1238#121—221no—
1239#121—221no—
1240#121—221no—
1241#121—221no—
1242#121—221no—
1243#121—221no—
1244#121—221no—
1245#121C22×D1111yescharacteristic
1246#120—221no—
1247#120—221no—
1248#120—221no—
1249#120—221no—
1250#120—221no—
1251#120—221no—
1252#120—221no—
1253#120—221no—
1254#120—221no—
1255#120—221no—
1256#120—221no—
1257#120—221no—
1258C4×Q8—111no—
1259C4×Q8—111no—
1260C4×Q8—111no—
1261C4×Q8—111no—
1262C4×Q8—111no—
1263C4×Q8—221no—
1264C4×Q8C22×D1111yescharacteristic
1265C4×Q8C22×D1111yescharacteristic
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—111no—
1269C4×D4—111no—
1270C4×D4—111no—
1271C4×D4—111no—
1272C4×D4—111no—
1273C4×D4—111no—
1274C4×D4—111no—
1275C4×D4—111no—
1276C4×D4—111no—
1277C4×D4—111no—
1278C4×D4—111no—
1279C4×D4—111no—
1280C4×D4—221no—
1281C4×D4—221no—
1282C4×D4—221no—
1283C4×D4—221no—
1284C4×D4—221no—
1285C4×D4—221no—
1286C4×D4—221no—
1287C4×D4—221no—
1288C4×D4—221no—
1289C4×D4—221no—
1290C4×D4—221no—
1291C4×D4C22×D1111yescharacteristic
1292#117—111no—
1293#117—111no—
1294#117—221no—
1295#117—221no—
1296#117—221no—
1297#117—221no—
1298C2×C4⋊C4—111no—
1299C2×C4⋊C4—221no—
1300C2×C4⋊C4—221no—
1301C2×C4⋊C4—221no—
1302C2×C4⋊C4C22×D1111yescharacteristic
1303C2×C4⋊C4C22×D1111yescharacteristic
1304C2×C22⋊C4—221no—
1305C2×C22⋊C4—221no—
1306C2×C22⋊C4—221no—
1307C2×C22⋊C4—221no—
1308C2×C22⋊C4—221no—
1309C2×C22⋊C4—221no—
1310C2×C22⋊C4—221no—
1311C2×C42—111no—
1312#106—111no—
1313#106—111no—
1314#106—111no—
1315#106—111no—
1316#106—111no—
1317#106C22×D1111yescharacteristic
1318#106C22×D1111yescharacteristic
1319#106C22×D1111yescharacteristic
1320C4⋊C8—111no—
1321C4⋊C8—111no—
1322C4⋊C8—111no—
1323C4⋊C8—111no—
1324C4⋊C8—111no—
1325C4⋊C8—111no—
1326C4⋊C8—111no—
1327C4⋊C8—111no—
1328C4⋊C8—111no—
1329C4⋊C8C22×D1111yescharacteristic
1330#103—111no—
1331#103—111no—
1332#103—111no—
1333#103—111no—
1334#103—111no—
1335#103C22×D1111yescharacteristic
1336#103C22×D1111yescharacteristic
1337#103C22×D1111yescharacteristic
1338#103C22×D1111yescharacteristic
1339#103C22×D1111yescharacteristic
1340#103C22×D1111yescharacteristic
1341#103C22×D1111yescharacteristic
1342#102—111no—
1343#102—111no—
1344#102—111no—
1345#102—111no—
1346#102—111no—
1347#102—111no—
1348#102—111no—
1349#102—111no—
1350#102—111no—
1351#102—111no—
1352#102—111no—
1353#102—111no—
1354#102—111no—
1355#102—111no—
1356#102—111no—
1357#102—111no—
1358#102—111no—
1359#102C22×D1111yescharacteristic
1360#102C22×D1111yescharacteristic
1361#102C22×D1111yescharacteristic
1362C22⋊C8—111no—
1363C22⋊C8—111no—
1364C22⋊C8—111no—
1365C22⋊C8—111no—
1366C22⋊C8C22×D1111yescharacteristic
1367C22⋊C8C22×D1111yescharacteristic
1368#97—111no—
1369#97—111no—
1370#97—111no—
1371#97C22×D1111yescharacteristic
1372C4×C8—111no—
1373C4×C8—111no—
1374C2×C11—22no—
1375C2×C11—41no—
1376C2×C11—81no—
1377C2×C11#348811yescharacteristic
1378C2×C11C2×#57711yescharacteristic
1379C2×C11#358511yescharacteristic
1380D11—41no—
1381D11—42no—
1382D11—81no—
1383D11—81no—
1384D11—81no—
1385D11—81no—
1386C24—221no—
1387C24—221no—
1388C24—221no—
1389C24—221no—
1390#41—41no—
1391#41—41no—
1392#41—222no—
1393#41—222no—
1394#41—441no—
1395#41—441no—
1396#41—441no—
1397#41—441no—
1398#41—882no—
1399#41—882no—
1400C2×Q8—21no—
1401C2×Q8—21no—
1402C2×Q8—41no—
1403C2×Q8—41no—
1404C2×Q8—111no—
1405C2×Q8—111no—
1406C2×Q8—221no—
1407C2×Q8—221no—
1408C2×Q8—221no—
1409C2×Q8—882no—
1410C2×Q8C23×D1111yescharacteristic
1411C2×Q8C23×D1111yescharacteristic
1412C2×Q8C23×D1111yescharacteristic
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—111no—
1416C2×D4—111no—
1417C2×D4—111no—
1418C2×D4—111no—
1419C2×D4—111no—
1420C2×D4—111no—
1421C2×D4—111no—
1422C2×D4—222no—
1423C2×D4—221no—
1424C2×D4—221no—
1425C2×D4—221no—
1426C2×D4—221no—
1427C2×D4—221no—
1428C2×D4—221no—
1429C2×D4—221no—
1430C2×D4—221no—
1431C2×D4—221no—
1432C2×D4—221no—
1433C2×D4—221no—
1434C2×D4—221no—
1435C2×D4—221no—
1436C2×D4—221no—
1437C2×D4—221no—
1438C2×D4—221no—
1439C2×D4—221no—
1440C2×D4—221no—
1441C2×D4—441no—
1442C2×D4—441no—
1443C2×D4—441no—
1444C2×D4—441no—
1445C2×D4—441no—
1446C2×D4—441no—
1447C2×D4—441no—
1448C2×D4—882no—
1449C2×D4—882no—
1450C2×D4D4×D1111yescharacteristic
1451C2×D4C23×D1111yescharacteristic
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—111no—
1457C22×C4—111no—
1458C22×C4—111no—
1459C22×C4—221no—
1460C22×C4—221no—
1461C22×C4—221no—
1462C22×C4—221no—
1463C22×C4—221no—
1464C22×C4—221no—
1465C22×C4—221no—
1466C22×C4—221no—
1467C22×C4—221no—
1468C22×C4—221no—
1469C22×C4—221no—
1470C22×C4—221no—
1471C22×C4—221no—
1472C22×C4—221no—
1473C22×C4—882no—
1474C22×C4C23×D1111yescharacteristic
1475C22×C4C23×D1111yescharacteristic
1476Q16—41no—
1477Q16—41no—
1478Q16—441no—
1479Q16—441no—
1480SD16—41no—
1481SD16—222no—
1482SD16—222no—
1483SD16—441no—
1484SD16—441no—
1485SD16—441no—
1486SD16—441no—
1487SD16—441no—
1488SD16—441no—
1489SD16—441no—
1490SD16—441no—
1491SD16—441no—
1492D8—222no—
1493D8—222no—
1494D8—222no—
1495D8—222no—
1496D8—441no—
1497D8—441no—
1498D8—441no—
1499D8—441no—
1500M16—41no—
1501M16—441no—
1502C2×C8—41no—
1503C2×C8—111no—
1504C2×C8—111no—
1505C2×C8—111no—
1506C2×C8—111no—
1507C2×C8—441no—
1508C2×C8—441no—
1509C2×C8—441no—
1510C2×C8C23×D1111yescharacteristic
1511C2×C8C23×D1111yescharacteristic
1512C2×C8C23×D1111yescharacteristic
1513C2×C8C23×D1111yescharacteristic
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—111no—
1523C4⋊C4—111no—
1524C4⋊C4—111no—
1525C4⋊C4—111no—
1526C4⋊C4—111no—
1527C4⋊C4—111no—
1528C4⋊C4—111no—
1529C4⋊C4—111no—
1530C4⋊C4—111no—
1531C4⋊C4—111no—
1532C4⋊C4—111no—
1533C4⋊C4—221no—
1534C4⋊C4—221no—
1535C4⋊C4—221no—
1536C4⋊C4—221no—
1537C4⋊C4—221no—
1538C4⋊C4—221no—
1539C4⋊C4—221no—
1540C4⋊C4—221no—
1541C4⋊C4—221no—
1542C4⋊C4—221no—
1543C4⋊C4—221no—
1544C4⋊C4—221no—
1545C4⋊C4—221no—
1546C4⋊C4D4×D1111yescharacteristic
1547C4⋊C4C23×D1111yescharacteristic
1548C4⋊C4C23×D1111yescharacteristic
1549C4⋊C4C23×D1111yescharacteristic
1550C4⋊C4C23×D1111yescharacteristic
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—111no—
1558C22⋊C4—111no—
1559C22⋊C4—111no—
1560C22⋊C4—111no—
1561C22⋊C4—111no—
1562C22⋊C4—111no—
1563C22⋊C4—111no—
1564C22⋊C4—111no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4—221no—
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⋊C4—221no—
1581C22⋊C4—221no—
1582C22⋊C4—221no—
1583C22⋊C4—221no—
1584C22⋊C4—221no—
1585C22⋊C4—221no—
1586C22⋊C4—221no—
1587C22⋊C4—221no—
1588C22⋊C4—221no—
1589C22⋊C4—221no—
1590C22⋊C4—221no—
1591C22⋊C4—221no—
1592C22⋊C4—221no—
1593C22⋊C4—221no—
1594C22⋊C4—221no—
1595C22⋊C4—221no—
1596C22⋊C4—221no—
1597C22⋊C4D4×D1111yescharacteristic
1598C22⋊C4D4×D1111yescharacteristic
1599C42—21no—
1600C42—21no—
1601C42—111no—
1602C42—111no—
1603C42—111no—
1604C42—111no—
1605C42—111no—
1606C42—221no—
1607C42—221no—
1608C42—221no—
1609C42—221no—
1610C42C23×D1111yescharacteristic
1611C11#6201811yescharacteristic, complemented, Sylow
1612C23—21no—
1613C23—111no—
1614C23—221no—
1615C23—221no—
1616C23—221no—
1617C23—221no—
1618C23—221no—
1619C23—442no—
1620C23—442no—
1621C23—442no—
1622C23—881no—
1623C23—881no—
1624C23—881no—
1625C23—881no—
1626C23—881no—
1627C23—881no—
1628C23—881no—
1629C23—881no—
1630C23—881no—
1631C23C2×D4×D1111yescharacteristic
1632C23C2×D4×D1111yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—21no—
1639Q8—81no—
1640Q8—81no—
1641Q8—221no—
1642Q8—221no—
1643Q8—441no—
1644Q8—442no—
1645Q8—881no—
1646Q8—881no—
1647D4—22no—
1648D4—21no—
1649D4—21no—
1650D4—42no—
1651D4—81no—
1652D4—112no—
1653D4—222no—
1654D4—221no—
1655D4—221no—
1656D4—221no—
1657D4—221no—
1658D4—221no—
1659D4—221no—
1660D4—221no—
1661D4—221no—
1662D4—221no—
1663D4—442no—
1664D4—442no—
1665D4—441no—
1666D4—442no—
1667D4—442no—
1668D4—881no—
1669D4—881no—
1670D4—881no—
1671D4—881no—
1672D4—881no—
1673D4—881no—
1674D4—881no—
1675D4—881no—
1676D4—881no—
1677D4—881no—
1678D4—881no—
1679D4—881no—
1680D4—881no—
1681D4—881no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—81no—
1696C2×C4—81no—
1697C2×C4—111no—
1698C2×C4—111no—
1699C2×C4—111no—
1700C2×C4—111no—
1701C2×C4—111no—
1702C2×C4—111no—
1703C2×C4—111no—
1704C2×C4—222no—
1705C2×C4—221no—
1706C2×C4—221no—
1707C2×C4—221no—
1708C2×C4—221no—
1709C2×C4—221no—
1710C2×C4—442no—
1711C2×C4—442no—
1712C2×C4—442no—
1713C2×C4—442no—
1714C2×C4—441no—
1715C2×C4—881no—
1716C2×C4—881no—
1717C2×C4—881no—
1718C2×C4—881no—
1719C2×C4—881no—
1720C2×C4—881no—
1721C2×C4—881no—
1722C2×C4—881no—
1723C2×C4—881no—
1724C2×C4—881no—
1725C2×C4C2×D4×D1111yescharacteristic
1726C2×C4C2×D4×D1111yescharacteristic
1727C2×C4C2×D4×D1111yescharacteristic
1728C2×C4C2×D4×D1111yescharacteristic
1729C2×C4C24×D1111yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—221no—
1735C8—221no—
1736C8—221no—
1737C8—221no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—21no—
1742C22—21no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—221no—
1747C22—221no—
1748C22—222no—
1749C22—221no—
1750C22—441no—
1751C22—441no—
1752C22—441no—
1753C22—441no—
1754C22—441no—
1755C22—441no—
1756C22—441no—
1757C22—441no—
1758C22—441no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—884no—
1765C22—1762no—
1766C22—1762no—
1767C22—1762no—
1768C22#1062330912yes—
1769C22C22×D4×D1111yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—221no—
1782C4—221no—
1783C4—221no—
1784C4—221no—
1785C4—221no—
1786C4—221no—
1787C4—221no—
1788C4—441no—
1789C4—441no—
1790C4—441no—
1791C4#1062345311yescharacteristic
1792C4D11×H(5,𝔽2)11yescharacteristic
1793C2—22no—
1794C2—41no—
1795C2—81no—
1796C2—441no—
1797C2—442no—
1798C2—881no—
1799C2—881no—
1800C2—881no—
1801C2—881no—
1802C2#1308227911yescharacteristic
1803C2C2×#1062330911yescharacteristic
1804C2#1308339411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3316C2
socleC22×C11C23×D4
hypercenter#3316D11
hypocenterC11#62018
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3316

Complements

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

NH ≅ G/Ntype
1. #13083133C2semidirect
2. #13082661C2semidirect
3. #13081686C2semidirect
4. #13081683C2semidirect
5. #13081407C2semidirect
6. #13081405C2semidirect
7. #13080723C2semidirect
8. #13080578C2semidirect
9. #13080575C2semidirect
10. #13080438C2semidirect
11. #13080434C2semidirect
12. #13080324C2semidirect
13. #13080316C2semidirect
14. #13080148C2semidirect
15. #13080145C2semidirect
16. #13080101C2semidirect
17. #13080093C2semidirect
18. #13080085C2semidirect
19. #13080082C2semidirect
20. #13079927C2semidirect
21. #13079716C2semidirect
22. #13079711C2semidirect
23. #13079618C2semidirect
24. #13078891C2semidirect
25. #13078888C2semidirect
26. #13078704C2semidirect
27. #13078158C2semidirect
28. #13078154C2semidirect
29. C2×#10622432C2semidirect
30. #13077756C2semidirect
31. C11×#3316C2semidirect
32. C11×#554C22semidirect
34. #10623361C22semidirect
35. #10623360C22semidirect
36. C2×#67003C22semidirect
39. C22×#4325C22semidirect
40. C2×#66972C22semidirect
41. C2×#66967C22semidirect
42. C2×#66961C22semidirect
44. #10623264C22semidirect
45. #10623258C22semidirect
49. #10623212C22semidirect
51. #10623205C22semidirect
54. #10623174C22semidirect
55. #10623174C22semidirect
59. #10623162C22semidirect
60. #10623161C22semidirect
61. #10623161C22semidirect
63. #10623153C22semidirect
68. #10623116C22semidirect
69. #10623113C22semidirect
70. #10623105C22semidirect
71. #10623099C22semidirect
75. #10623081C22semidirect
79. #10623042C22semidirect
80. #10623038C22semidirect
81. #10623035C22semidirect
82. C2×#66946C22semidirect
83. C11×#489C22semidirect
84. C11×#483C22semidirect
85. C11×#481C22semidirect
86. C11×#475C22semidirect
87. C11×#470C22semidirect
88. C11×#465C22semidirect
89. C11×#464C22semidirect
90. C11×#452C22semidirect
91. C11×#451C22semidirect
92. C11×#441C22semidirect
93. C11×#435C22semidirect
94. C11×#417C22semidirect
95. C2×C11×#103C22semidirect
96. #10622851C22semidirect
97. #10622841C22semidirect
98. #10622804C22semidirect
99. #10622803C22semidirect
100. #10622803C22semidirect
101. #10622800C22semidirect
102. #10622798C22semidirect
103. #10622798C22semidirect
104. #10622798C22semidirect
106. #10622776C22semidirect
107. #10622775C22semidirect
109. #10622740C22semidirect
110. #10622732C22semidirect
111. #10622727C22semidirect
112. #10622724C22semidirect
113. C2×Dic11⋊C8C22semidirect
114. #10622701C22semidirect
115. #10622697C22semidirect
116. #10622672C22semidirect
117. #10622670C22semidirect
118. #10622661C22semidirect
119. #10622661C22semidirect
120. #10622661C22semidirect
121. #10622660C22semidirect
123. #10622659C22semidirect
124. #10622654C22semidirect
125. #10622649C22semidirect
126. #10622641C22semidirect
127. #10622640C22semidirect
128. C4×#4325C22semidirect
129. C4×#4325C22semidirect
130. D4×C11⋊C8C22semidirect
131. #10622581C22semidirect
132. #10622581C22semidirect
134. C2×#66873C22semidirect
135. #10622483C22semidirect
136. #10622483C22semidirect
137. #10622483C22semidirect
138. #10622483C22semidirect
139. #10622482C22semidirect
140. #10622482C22semidirect
141. #10622482C22semidirect
143. #10622477C22semidirect
144. #10622476C22semidirect
145. #10622467C22semidirect
146. #10622465C22semidirect
147. #10622457C22semidirect
149. #10622452C22semidirect
150. #10622444C22semidirect
151. #10622432C22semidirect
152. #10622432C22semidirect
153. #10622432C22semidirect
154. #10622432C22semidirect
155. #10622432C22semidirect
156. #10622432C22semidirect
157. #10622432C22semidirect
158. #10622432C22semidirect
159. #10622432C22semidirect
160. #10622432C22semidirect
161. #10622431C22semidirect
162. #10622429C22semidirect
164. #10622424C22semidirect
165. #10622423C22semidirect
166. #10622420C22semidirect
167. #10622418C22semidirect
168. #10622416C22semidirect
169. #10622411C22semidirect
170. #10622411C22semidirect
171. #10622411C22semidirect
172. #10622408C22semidirect
173. #10622408C22semidirect
174. #10622408C22semidirect
175. #10622404C22semidirect
176. #10622404C22semidirect
177. #10622402C22semidirect
178. #10622401C22semidirect
180. #10622399C22semidirect
181. #10622399C22semidirect
182. #10622398C22semidirect
183. #10622398C22semidirect
184. #10622389C22semidirect
185. #10622386C22semidirect
186. D11×#102C22semidirect
187. #10622375C22semidirect
188. #10622375C22semidirect
189. #10622374C22semidirect
190. #10622373C22semidirect
192. #10622345C22semidirect
193. #10622345C22semidirect
195. #10622343C22semidirect
196. (C22⋊D11)⋊C8C22semidirect
197. #10622333C22semidirect
198. #10622332C22semidirect
200. #10622324C22semidirect
201. #10622322C22semidirect
202. #10622314C22semidirect
717. #3316D11semidirect
879. #554C2×D11semidirect
927. #489C2×D11semidirect
931. #483C2×D11semidirect
935. #481C2×D11semidirect
945. #475C2×D11semidirect
947. #470C2×D11semidirect
957. #465C2×D11semidirect
965. #464C2×D11semidirect
991. #452C2×D11semidirect
993. #451C2×D11semidirect
1015. #441C2×D11semidirect
1023. #435C2×D11semidirect
1033. #417C2×D11semidirect
1034. C2×#103C2×D11semidirect
1611. C11#62018semidirect

Maximal subgroups

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

subgroupindex
#130831332
#130826612
#130816862
#130816832
#130814072
#130814052
#130807232
#130805782
#130805752
#130804382
#130804342
#130803242
#130803162
#130801482
#130801452
#130801012
#130800932
#130800852
#130800822
#130799272
#130797162
#130797112
#130796182
#130788912
#130788882
#130787042
#130781582
#130781542
C2×#106224322
#130777562
C11×#33162
#6201811