Finite Group Databasebeta

← #15631745

Subgroups — #15631745

Order 2816.

2116 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082530C211yesmaximal, characteristic, complemented
2#13082374C211yesmaximal, characteristic, complemented
3#13080838C211yesmaximal, characteristic, complemented
4#13080825C211yesmaximal, characteristic, complemented
5#13080818C211yesmaximal, characteristic, complemented
6#13080815C211yesmaximal, characteristic, complemented
7#13080759C211yesmaximal, characteristic, complemented
8#13080754C211yesmaximal, characteristic, complemented
9#13080719C211yesmaximal, characteristic, complemented
10#13080642C211yesmaximal, characteristic, complemented
11#13080631C211yesmaximal, characteristic, complemented
12#13080592C211yesmaximal, characteristic, complemented
13#13080591C211yesmaximal, characteristic, complemented
14#13080467C211yesmaximal, characteristic, complemented
15#13080464C211yesmaximal, characteristic, complemented
16#13080457C211yesmaximal, characteristic, complemented
17#13080444C211yesmaximal, characteristic, complemented
18#13079018C211yesmaximal, characteristic, complemented
19#13078602C211yesmaximal, characteristic, complemented
20#13078595C211yesmaximal, characteristic, complemented
21D11×#478C211yesmaximal, characteristic, complemented
22#13078287C211yesmaximal, characteristic, complemented
23#13078280C211yesmaximal, characteristic, complemented
24#13078074C211yesmaximal, characteristic, complemented
25#13077924C211yesmaximal, characteristic, complemented
26#13077924C211yesmaximal, characteristic, complemented
27#13077421C211yesmaximal, characteristic, complemented
28#13077357C211yesmaximal, characteristic, complemented
29#13077140C211yesmaximal, characteristic, complemented
30#13077138C211yesmaximal, characteristic, complemented
31C11×#3315C211yesmaximal, characteristic, complemented
32C2×#67042C2211yescharacteristic
33C2×#67042C2211yescharacteristic
34C11×#552C2211yescharacteristic, complemented
35C11×#547C2211yescharacteristic
36#10623360C2211yescharacteristic
37#10623360C2211yescharacteristic
38C2×#66972C2211yescharacteristic, complemented
39C2×#66972C2211yescharacteristic, complemented
40C2×#66967C2211yescharacteristic
41C2×#66960C2211yescharacteristic, complemented
42C2×#66954C2211yescharacteristic, complemented
43#10623257C2211yescharacteristic
44#10623256C2211yescharacteristic
45#10623240—21no—
46#10623237—21no—
47#10623227—21no—
48#10623226—21no—
49#10623226C2211yescharacteristic, complemented
50D11×#125C2211yescharacteristic, complemented
51#10623194—21no—
52#10623192—21no—
53#10623185—21no—
54#10623185—21no—
55#10623184—21no—
56#10623184—21no—
57#10623173C2211yescharacteristic, complemented
58#10623170C2211yescharacteristic, complemented
59#10623161C2211yescharacteristic
60#10623161C2211yescharacteristic
61#10623160C2211yescharacteristic
62#10623160C2211yescharacteristic
63#10623160C2211yescharacteristic, complemented
64#10623160C2211yescharacteristic, complemented
65#10623140—21no—
66D11×#121—21no—
67#10623112C2211yescharacteristic, complemented
68C4×#4343C2211yescharacteristic, complemented
69#10623096C2211yescharacteristic, complemented
70D4×D44C2211yescharacteristic
71D4×D44C2211yescharacteristic
72#10623079C2211yescharacteristic
73C4×D4×D11C2211yescharacteristic
74#10623061—21no—
75#10623061C2211yescharacteristic, complemented
76#10623059—21no—
77#10623054C2211yescharacteristic, complemented
78#10623045C2211yescharacteristic, complemented
79#10623038—21no—
80C2×#66948—21no—
81#10623035C2211yescharacteristic, complemented
82C11×#491C2211yescharacteristic, complemented
83C11×#485C2211yescharacteristic, complemented
84C11×#484C2211yescharacteristic, complemented
85C11×#478C2211yescharacteristic, complemented
86C11×#470C2211yescharacteristic, complemented
87C11×#467C2211yescharacteristic, complemented
88C11×#462C2211yescharacteristic, complemented
89C11×#452C2211yescharacteristic, complemented
90C11×#452C2211yescharacteristic, complemented
91C11×#440C2211yescharacteristic, complemented
92C11×#435C2211yescharacteristic, complemented
93C11×#417C2211yescharacteristic, complemented
94C11×#416C2211yescharacteristic, complemented
95#10622851C2211yescharacteristic, complemented
96#10622851C2211yescharacteristic, complemented
97#10622846C2211yescharacteristic, complemented
98#10622845C2211yescharacteristic, complemented
99#10622802C2211yescharacteristic, complemented
100#10622801C2211yescharacteristic, complemented
101#10622800C2211yescharacteristic, complemented
102#10622800C2211yescharacteristic, complemented
103#10622798C2211yescharacteristic, complemented
104#10622798C2211yescharacteristic, complemented
105#10622782C2211yescharacteristic, complemented
106#10622782C2211yescharacteristic, complemented
107SD16×Dic11C2211yescharacteristic, complemented
108#10622748C2211yescharacteristic, complemented
109#10622744C2211yescharacteristic, complemented
110#10622741C2211yescharacteristic, complemented
111#10622728C2211yescharacteristic, complemented
112C2×#66885C2211yescharacteristic, complemented
113C8×C22⋊D11C2211yescharacteristic, complemented
114#10622696C2211yescharacteristic, complemented
115#10622695C2211yescharacteristic, complemented
116#10622680C2211yescharacteristic, complemented
117#10622679C2211yescharacteristic, complemented
118#10622662C2211yescharacteristic, complemented
119#10622662C2211yescharacteristic, complemented
120#10622661C2211yescharacteristic, complemented
121#10622661C2211yescharacteristic, complemented
122#10622659C2211yescharacteristic, complemented
123#10622659C2211yescharacteristic, complemented
124#10622658C2211yescharacteristic, complemented
125#10622656C2211yescharacteristic, complemented
126#10622640C2211yescharacteristic, complemented
127#10622639C2211yescharacteristic, complemented
128#10622627C2211yescharacteristic, complemented
129#10622624C2211yescharacteristic, complemented
130#10622622C2211yescharacteristic, complemented
131#10622616C2211yescharacteristic, complemented
132#10622614C2211yescharacteristic, complemented
133#10622580C2211yescharacteristic, complemented
134C2×#66873C2211yescharacteristic, complemented
135#10622504C2211yescharacteristic, complemented
136#10622498C2211yescharacteristic, complemented
137#10622498C2211yescharacteristic, complemented
138#10622496C2211yescharacteristic, complemented
139#10622495C2211yescharacteristic, complemented
140#10622494C2211yescharacteristic, complemented
141D11×#107C2211yescharacteristic, complemented
142#10622485C2211yescharacteristic, complemented
143#10622484C2211yescharacteristic, complemented
144#10622478C2211yescharacteristic, complemented
145#10622476C2211yescharacteristic, complemented
146D11×#106C2211yescharacteristic, complemented
147#10622460C2211yescharacteristic, complemented
148#10622456C2211yescharacteristic, complemented
149#10622449C2211yescharacteristic, complemented
150D11×C4⋊C8C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622432C2211yescharacteristic, complemented
153#10622428C2211yescharacteristic, complemented
154#10622428C2211yescharacteristic, complemented
155#10622425C2211yescharacteristic, complemented
156#10622425C2211yescharacteristic, complemented
157#10622424C2211yescharacteristic, complemented
158#10622424C2211yescharacteristic, complemented
159#10622422C2211yescharacteristic, complemented
160#10622420C2211yescharacteristic, complemented
161#10622420C2211yescharacteristic, complemented
162#10622418C2211yescharacteristic, complemented
163#10622417C2211yescharacteristic, complemented
164#10622417C2211yescharacteristic, complemented
165#10622417C2211yescharacteristic, complemented
166#10622417C2211yescharacteristic, complemented
167#10622416C2211yescharacteristic, complemented
168#10622416C2211yescharacteristic, complemented
169#10622416C2211yescharacteristic, complemented
170#10622416C2211yescharacteristic, complemented
171#10622416C2211yescharacteristic, complemented
172#10622416C2211yescharacteristic, complemented
173#10622416C2211yescharacteristic, complemented
174#10622413C2211yescharacteristic, complemented
175#10622413C2211yescharacteristic, complemented
176#10622413C2211yescharacteristic, complemented
177#10622413C2211yescharacteristic, complemented
178#10622401C2211yescharacteristic, complemented
179#10622386C2211yescharacteristic, complemented
180#10622386C2211yescharacteristic, complemented
181#10622383C2211yescharacteristic
182#10622383C2211yescharacteristic, complemented
183#10622383C2211yescharacteristic, complemented
184D11×#102C2211yescharacteristic
185D11×#102C2211yescharacteristic
186D11×#102C2211yescharacteristic, complemented
187D11×#102C2211yescharacteristic, complemented
188#10622379C2211yescharacteristic, complemented
189#10622376C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622350C2211yescharacteristic, complemented
192#10622348C2211yescharacteristic, complemented
193#10622345C2211yescharacteristic, complemented
194#10622345C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622340C2211yescharacteristic, complemented
197#10622340C2211yescharacteristic, complemented
198(C22⋊D11)⋊C8C2211yescharacteristic, complemented
199#10622326C2211yescharacteristic, complemented
200#10622324C2211yescharacteristic, complemented
201#10622320C2211yescharacteristic, complemented
202#10622319C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205#67042—24no—
206#67042—24no—
207#67042—42no—
208#67042—42no—
209C2×#4343C2311yescharacteristic
210C2×#4343C2311yescharacteristic
211C2×#4343C2311yescharacteristic
212C2×#4343C2311yescharacteristic
213C2×#4343C2311yescharacteristic
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×D4×D11C2311yescharacteristic
222C2×#4339—21no—
223C2×#4339—21no—
224C2×#4339C2311yescharacteristic
225C2×#4339C2311yescharacteristic
226C22×D44—21no—
227C22×D44—21no—
228C22×D44—21no—
229C22×D44C2311yescharacteristic
230C22×D44C2311yescharacteristic
231C22×C4×D11—21no—
232C2×C11×Q16C2311yescharacteristic
233C2×C11×Q16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C2×C11×M16C2311yescharacteristic
236C22×C8×C11C2311yescharacteristic
237C11×C4⋊Q8C2311yescharacteristic
238C11×#126—21no—
239C11×#125—21no—
240C11×#125C2311yescharacteristic
241C11×#123—21no—
242C11×#123—21no—
243C11×#123—21no—
244C11×C22⋊Q8C2311yescharacteristic
245C11×C22⋊Q8C2311yescharacteristic
246C11×C22⋊Q8C2311yescharacteristic
247C11×C22⋊Q8C2311yescharacteristic
248C11×#121—21no—
249C4×Q8×C11C2311yescharacteristic
250C4×D4×C11C2311yescharacteristic
251C4×D4×C11C2311yescharacteristic
252C11×#117—21no—
253C11×#117C2311yescharacteristic
254C2×C11×C4⋊C4—21no—
255C2×C11×C4⋊C4C2311yescharacteristic
256#67000C2311yescharacteristic
257#67000C2311yescharacteristic
258#66999C2311yescharacteristic
259#66999C2311yescharacteristic
260#66999C2311yescharacteristic
261#66999C2311yescharacteristic
262Q8×Dic11C2311yescharacteristic
263C2×#4325C2311yescharacteristic
264C2×#4325C2311yescharacteristic
265C2×#4325C2311yescharacteristic
266C2×#4325C2311yescharacteristic
267C2×#4325C2311yescharacteristic
268#66993D411yescharacteristic
269#66992—21no—
270#66992—21no—
271#66992—21no—
272#66991D411yescharacteristic
273#66990—21no—
274#66990—21no—
275D4×Dic11C2311yescharacteristic
276C2×#4323C2311yescharacteristic
277#66983—21no—
278#66983—21no—
279#66983C2311yescharacteristic
280#66983C2311yescharacteristic
281#66983C2311yescharacteristic
282#66983C2311yescharacteristic
283#66982—21no—
284#66982—21no—
285C4×C22⋊D11—21no—
286C4×C22⋊D11—21no—
287C4×C22⋊D11—21no—
288C4×C22⋊D11—21no—
289C4×C22⋊D11C2311yescharacteristic
290C4×C22⋊D11C2311yescharacteristic
291C2×(C2×D11)⋊C4—21no—
292C2×(C2×D11)⋊C4—21no—
293#66979C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×#4318C2311yescharacteristic
296C22×C11⋊C8C2311yescharacteristic
297#66972—42no—
298#66972—42no—
299#66967—24no—
300#66960—42no—
301C2×D88C2311yescharacteristic
302C2×D88C2311yescharacteristic
303C2×D88C2311yescharacteristic
304#66954—42no—
305C2×#4313C2311yescharacteristic
306C2×#4313C2311yescharacteristic
307C2×#4313C2311yescharacteristic
308C2×#4313C2311yescharacteristic
309C2×C8×D11C2311yescharacteristic
310C2×C8×D11C2311yescharacteristic
311C2×C8×D11C2311yescharacteristic
312C2×C8×D11C2311yescharacteristic
313#66951—21no—
314#66951—21no—
315#66951—21no—
316#66951—21no—
317#66949—21no—
318#66949—21no—
319#66949—21no—
320#66949—21no—
321#66948—21no—
322#66948—21no—
323#66948—21no—
324#66948—21no—
325#66948—21no—
326#66948—21no—
327#66948—21no—
328#66948—21no—
329#66948—21no—
330#66948—21no—
331#66948—21no—
332#66948D411yescharacteristic
333#66948C2311yescharacteristic
334#66948C2311yescharacteristic
335#66948C2311yescharacteristic
336#66948C2311yescharacteristic
337#66947—21no—
338#66947—21no—
339#66947—21no—
340#66947—21no—
341#66947—21no—
342#66947—21no—
343#66947—21no—
344#66946—21no—
345#66946—21no—
346#66946—21no—
347#66946—21no—
348#66946—21no—
349#66946C2311yescharacteristic
350#66946C2311yescharacteristic
351#66945—21no—
352#66945—21no—
353#66945C2311yescharacteristic
354#66945C2311yescharacteristic
355#66945C2311yescharacteristic
356C4⋊C4×D11—21no—
357C4⋊C4×D11—21no—
358C4⋊C4×D11—21no—
359C4⋊C4×D11C2311yescharacteristic
360C4⋊C4×D11C2311yescharacteristic
361C4⋊C4×D11C2311yescharacteristic
362C4⋊C4×D11C2311yescharacteristic
363C4⋊C4×D11C2311yescharacteristic
364#66943—21no—
365#66943C2311yescharacteristic
366#66943C2311yescharacteristic
367#66942—21no—
368#66942—21no—
369#66942—21no—
370#66942—21no—
371#66941D411yescharacteristic
372#66940—21no—
373#66939—21no—
374#66938D411yescharacteristic
375#66938D411yescharacteristic
376#66937—21no—
377#66937—21no—
378#66937—21no—
379#66937—21no—
380#66937—21no—
381#66937—21no—
382#66937—21no—
383#66937—21no—
384#66937—21no—
385#66937D411yescharacteristic
386#66937D411yescharacteristic
387#66936—21no—
388#66936—21no—
389#66936—21no—
390#66935—21no—
391#66935—21no—
392#66935—21no—
393#66935—21no—
394#66935—21no—
395#66935—21no—
396(C22⋊D11)⋊C4—21no—
397(C22⋊D11)⋊C4—21no—
398(C22⋊D11)⋊C4—21no—
399(C22⋊D11)⋊C4—21no—
400C22⋊C4×D11—21no—
401C22⋊C4×D11—21no—
402C22⋊C4×D11—21no—
403#66932—21no—
404#66930—21no—
405#66929—21no—
406#66929—21no—
407#66927C2311yescharacteristic
408C4×D44—21no—
409C4×D44—21no—
410C4×D44—21no—
411C4×D44C2311yescharacteristic
412C4×D44C2311yescharacteristic
413C4×D44C2311yescharacteristic
414#66925—21no—
415C42×D11—21no—
416C42×D11C2311yescharacteristic
417#66923C2311yescharacteristic
418C4×Dic22—21no—
419C11×#107C2311yescharacteristic
420C11×#107C2311yescharacteristic
421C11×#106C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#103C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C11×#97C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66899C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452#66885C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462#66882C2311yescharacteristic
463#66881C2311yescharacteristic
464#66881C2311yescharacteristic
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467C8×Dic11C2311yescharacteristic
468C8×Dic11C2311yescharacteristic
469#66873C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66872C2311yescharacteristic
482#66871C2311yescharacteristic
483#66871C2311yescharacteristic
484#66871C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486#66867C2311yescharacteristic
487#61201—111nomaximal, Sylow
488C23×D11—21no—
489C23×D11—21no—
490C23×D11—21no—
491C23×D11—21no—
492C23×D11—21no—
493C11×#41—22no—
494C11×#41—22no—
495C11×#41—41no—
496C11×#41—41no—
497C2×Q8×C11C2411yescharacteristic
498C2×Q8×C11C2411yescharacteristic
499C2×Q8×C11C2411yescharacteristic
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11C2×D411yescharacteristic
503C2×D4×C11C2411yescharacteristic
504C22×C4×C11—21no—
505C22×C4×C11—21no—
506C22×C4×C11—21no—
507C22×C4×C11—21no—
508C22×C4×C11C2411yescharacteristic
509C22×C4×C11C2411yescharacteristic
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
519C2×C22⋊D11C2×D411yescharacteristic
520C2×C22⋊D11C2×D411yescharacteristic
521C2×C22⋊D11C2×D411yescharacteristic
522C2×C22⋊D11C2×D411yescharacteristic
523C22×Dic11—21no—
524C22×Dic11—21no—
525#4343—22no—
526#4343—22no—
527#4343—22no—
528#4343—22no—
529#4343—22no—
530#4343—22no—
531#4343—22no—
532#4343—22no—
533#4343—41no—
534#4343—41no—
535D4×D11—22no—
536D4×D11—22no—
537D4×D11—22no—
538D4×D11—41no—
539D4×D11—41no—
540D4×D11—44no—
541D4×D11—44no—
542D4×D11—44no—
543D4×D11—44no—
544D4×D11—82no—
545D4×D11#4114yes—
546#4339—22no—
547#4339—22no—
548#4339—22no—
549#4339—22no—
550#4339—44no—
551#4339—44no—
552C2×D44—21no—
553C2×D44—21no—
554C2×D44—21no—
555C2×D44—21no—
556C2×D44—21no—
557C2×D44—21no—
558C2×D44—21no—
559C2×D44—21no—
560C2×D44—21no—
561C2×D44—22no—
562C2×D44—22no—
563C2×D44—21no—
564C2×D44—21no—
565C2×D44—21no—
566C2×D44—21no—
567C2×D44—41no—
568C2×D44—41no—
569C2×D44—44no—
570C2×D44—44no—
571C2×D44—82no—
572C2×D44C2×D411yescharacteristic
573C2×D44C2×D411yescharacteristic
574C2×D44C2×D411yescharacteristic
575C2×D44C2411yescharacteristic
576C2×D44C2411yescharacteristic
577C2×D44C2411yescharacteristic
578C2×D44C2411yescharacteristic
579C2×C4×D11—21no—
580C2×C4×D11—21no—
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—21no—
593C2×C4×D11—82no—
594C2×C4×D11C2×D411yescharacteristic
595C2×C4×D11C2×D411yescharacteristic
596C2×C4×D11C2411yescharacteristic
597C2×C4×D11C2411yescharacteristic
598C2×C4×D11C2411yescharacteristic
599C2×Dic22C2×D411yescharacteristic
600C2×Dic22C2×D411yescharacteristic
601C11×Q16—41no—
602C11×Q16—41no—
603C11×SD16—22no—
604C11×M16—41no—
605C2×C8×C11—41no—
606C2×C8×C11C2411yescharacteristic
607C2×C8×C11C2411yescharacteristic
608C2×C8×C11C2411yescharacteristic
609C2×C8×C11C2411yescharacteristic
610C11×C4⋊C4—21no—
611C11×C4⋊C4—21no—
612C11×C4⋊C4—21no—
613C11×C4⋊C4—21no—
614C11×C4⋊C4—21no—
615C11×C4⋊C4—21no—
616C11×C4⋊C4—21no—
617C11×C4⋊C4—21no—
618C11×C4⋊C4—21no—
619C11×C4⋊C4—21no—
620C11×C4⋊C4C2×D411yescharacteristic
621C11×C4⋊C4C2411yescharacteristic
622C11×C4⋊C4C2411yescharacteristic
623C11×C4⋊C4C2411yescharacteristic
624C11×C4⋊C4C2411yescharacteristic
625C11×C22⋊C4—21no—
626C11×C22⋊C4—21no—
627C11×C22⋊C4—21no—
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
630C11×C22⋊C4—21no—
631C11×C22⋊C4C2×D411yescharacteristic
632C11×C22⋊C4C2×D411yescharacteristic
633C42×C11—21no—
634C42×C11—21no—
635C42×C11C2411yescharacteristic
636C22⋊Dic11—21no—
637C22⋊Dic11—21no—
638C22⋊Dic11C2×D411yescharacteristic
639C22⋊Dic11C2×D411yescharacteristic
640#4325—22no—
641#4325—41no—
642#4325—41no—
643#4325—41no—
644#4325—41no—
645#4323—22no—
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)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4C2×D411yescharacteristic
670(C2×D11)⋊C4C2×D411yescharacteristic
671(C2×D11)⋊C4C2×D411yescharacteristic
672(C2×D11)⋊C4C2×D411yescharacteristic
673C4⋊Dic11—21no—
674C4⋊Dic11—21no—
675C4⋊Dic11—21no—
676C4⋊Dic11—21no—
677C4⋊Dic11C2×D411yescharacteristic
678C4⋊Dic11C2411yescharacteristic
679C4⋊Dic11C2411yescharacteristic
680C4⋊Dic11C2411yescharacteristic
681C4⋊Dic11C2411yescharacteristic
682Dic11⋊C4—21no—
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4—21no—
692Dic11⋊C4—21no—
693Dic11⋊C4—21no—
694Dic11⋊C4—21no—
695Dic11⋊C4C2×D411yescharacteristic
696Dic11⋊C4C2×D411yescharacteristic
697C4×Dic11—21no—
698C4×Dic11—21no—
699C4×Dic11—21no—
700C4×Dic11—21no—
701C4×Dic11—21no—
702C4×Dic11C2×D411yescharacteristic
703C4×Dic11C2×D411yescharacteristic
704C4×Dic11C2411yescharacteristic
705#4318—41no—
706C2×C11⋊C8—41no—
707C2×C11⋊C8C2411yescharacteristic
708C2×C11⋊C8C2411yescharacteristic
709C2×C11⋊C8C2411yescharacteristic
710C2×C11⋊C8C2411yescharacteristic
711D88—22no—
712D88—41no—
713D88—41no—
714#4313—22no—
715#4313—22no—
716#4313—41no—
717#4313—41no—
718C8×D11—22no—
719C8×D11—22no—
720C8×D11—41no—
721C8×D11—41no—
722#3512—111no—
723#3496—111no—
724#3323—111no—
725#3323—111no—
726#3322—111no—
727#3322—111no—
728#3318—111no—
729#3318—111no—
730#3315—111no—
731#3315D1111yescharacteristic, complemented
732#3310—111no—
733#3310—111no—
734#3307—111no—
735#3307—111no—
736#3297—111no—
737#3297—111no—
738#3296—111no—
739#3296—111no—
740#3142—111no—
741#3099—111no—
742#3098—111no—
743C2×#478—111no—
744#3061—111no—
745#3060—111no—
746#3035—111no—
747#3012—111no—
748#3012—111no—
749C4×AGL(1,ℤ/8)—111no—
750#2935—111no—
751#2897—111no—
752#2897—111no—
753C23×C11—21no—
754C23×C11C22×D411yescharacteristic
755C23×C11C22×D411yescharacteristic
756C22×D11—21no—
757C22×D11—24no—
758C22×D11—21no—
759C22×D11—21no—
760C22×D11—21no—
761C22×D11—42no—
762C22×D11—42no—
763C22×D11—42no—
764C22×D11—42no—
765C22×D11—81no—
766C22×D11—81no—
767C22×D11—81no—
768C22×D11—81no—
769C22×D11—81no—
770C22×D11—81no—
771C22×D11—81no—
772C22×D11—81no—
773C22×D11—81no—
774C22×D11—81no—
775C22×D11C22×D411yescharacteristic
776C22×D11C22×D411yescharacteristic
777C22×D11C22×D411yescharacteristic
778Q8×C11—21no—
779Q8×C11—21no—
780Q8×C11—21no—
781Q8×C11—21no—
782Q8×C11—21no—
783Q8×C11—21no—
784D4×C11—21no—
785D4×C11—41no—
786D4×C11—42no—
787D4×C11—42no—
788D4×C11C2×#4112yes—
789C2×C4×C11—21no—
790C2×C4×C11—21no—
791C2×C4×C11—21no—
792C2×C4×C11—21no—
793C2×C4×C11—21no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—42no—
801C2×C4×C11—42no—
802C2×C4×C11—42no—
803C2×C4×C11—81no—
804C2×C4×C11C22×D411yescharacteristic
805C2×C4×C11C22×D411yescharacteristic
806C2×C4×C11C22×D411yescharacteristic
807C2×C4×C11C22×D411yescharacteristic
808C2×C4×C11C2511yescharacteristic
809C22⋊D11—22no—
810C22⋊D11—22no—
811C22⋊D11—22no—
812C22⋊D11—22no—
813C22⋊D11—24no—
814C22⋊D11—41no—
815C22⋊D11—41no—
816C22⋊D11—42no—
817C22⋊D11—42no—
818C22⋊D11—81no—
819C22⋊D11—81no—
820C22⋊D11—81no—
821C22⋊D11—81no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—21no—
825C2×Dic11—21no—
826C2×Dic11—81no—
827C2×Dic11—81no—
828C2×Dic11C22×D411yescharacteristic
829C2×Dic11C22×D411yescharacteristic
830C2×Dic11C22×D411yescharacteristic
831C2×Dic11C22×D411yescharacteristic
832C2×Dic11C22×D411yescharacteristic
833D44—22no—
834D44—22no—
835D44—21no—
836D44—21no—
837D44—21no—
838D44—21no—
839D44—21no—
840D44—21no—
841D44—21no—
842D44—41no—
843D44—42no—
844D44—42no—
845D44—42no—
846D44—42no—
847D44—42no—
848D44—42no—
849D44—42no—
850D44—42no—
851D44—81no—
852D44—81no—
853D44—81no—
854D44—81no—
855D44—81no—
856D44C2×#4112yes—
857C4×D11—21no—
858C4×D11—21no—
859C4×D11—21no—
860C4×D11—21no—
861C4×D11—41no—
862C4×D11—41no—
863C4×D11—42no—
864C4×D11—42no—
865C4×D11—42no—
866C4×D11—42no—
867C4×D11—42no—
868C4×D11—42no—
869C4×D11—81no—
870C4×D11—81no—
871C4×D11—81no—
872C4×D11—81no—
873C4×D11—81no—
874C4×D11—81no—
875C4×D11—81no—
876C4×D11—81no—
877C4×D11C2×#4112yes—
878C4×D11H(5,𝔽2)12yes—
879Dic22—22no—
880Dic22—22no—
881C8×C11—21no—
882C8×C11—21no—
883C8×C11—21no—
884C8×C11—21no—
885C11⋊C8—21no—
886C11⋊C8—21no—
887C11⋊C8—21no—
888C11⋊C8—21no—
889C2×H(5,𝔽2)—111no—
890C2×H(5,𝔽2)—111no—
891C2×AGL(1,ℤ/8)—111no—
892C2×#135—111no—
893C2×#135—111no—
894C2×#131—111no—
895C2×#131—111no—
896#553—111no—
897#553—111no—
898#553—111no—
899#553—111no—
900#553—221no—
901#553—221no—
902#553—221no—
903#553—221no—
904#552—111no—
905#552—111no—
906#552—111no—
907#552C2×D1111yescharacteristic, complemented
908#547—111no—
909#547—221no—
910#547C2×D1111yescharacteristic
911#546—111no—
912#546—111no—
913#546—111no—
914#546—111no—
915#546—221no—
916#546—221no—
917D42—111no—
918D42—111no—
919D42—221no—
920#541—221no—
921#540—221no—
922#537—111no—
923#537—111no—
924#537—111no—
925#537—111no—
926#534—221no—
927#534—221no—
928#532—111no—
929#532—111no—
930#529—221no—
931#529—221no—
932C2×#125—111no—
933C2×#121—221no—
934C2×#121—221no—
935#520—111no—
936#520—111no—
937C4×#41—111no—
938C2×C4×D4—111no—
939#491—111no—
940#491C2×D1111yescharacteristic, complemented
941#490—111no—
942#490—111no—
943#488—111no—
944#488—111no—
945#488—111no—
946#488—111no—
947#485—111no—
948#485—111no—
949#485—111no—
950#485C2×D1111yescharacteristic, complemented
951#484—111no—
952#484C2×D1111yescharacteristic, complemented
953#483—111no—
954#483—111no—
955#482—111no—
956#482—111no—
957#482—111no—
958#482—111no—
959#481—111no—
960#481—111no—
961#480—111no—
962#480—111no—
963#478—111no—
964#478—111no—
965#478—111no—
966#478—111no—
967#478—111no—
968#478—111no—
969#478—111no—
970#478C2×D1111yescharacteristic, complemented
971#470—111no—
972#470C2×D1111yescharacteristic, complemented
973#469—111no—
974#469—111no—
975#468—111no—
976#468—111no—
977#468—111no—
978#468—111no—
979#467—111no—
980#467C2×D1111yescharacteristic, complemented
981#466—111no—
982#466—111no—
983#465—111no—
984#465—111no—
985#465—111no—
986#465—111no—
987#464—111no—
988#464—111no—
989#463—111no—
990#463—111no—
991#462C2×D1111yescharacteristic, complemented
992#461—111no—
993#460—111no—
994#459—111no—
995#452—111no—
996#452—111no—
997#452C2×D1111yescharacteristic, complemented
998#452C2×D1111yescharacteristic, complemented
999#450—111no—
1000#450—111no—
1001#450—111no—
1002#450—111no—
1003#449—111no—
1004#449—111no—
1005#449—111no—
1006#449—111no—
1007#447—111no—
1008#447—111no—
1009#447—111no—
1010#447—111no—
1011#442—111no—
1012#442—111no—
1013#440—111no—
1014#440C2×D1111yescharacteristic, complemented
1015C4×SD16—111no—
1016C4×SD16—111no—
1017C4×D8—111no—
1018C4×D8—111no—
1019#436—111no—
1020#436—111no—
1021#435—111no—
1022#435—111no—
1023#435—111no—
1024#435C2×D1111yescharacteristic, complemented
1025C8×D4—111no—
1026C8×D4—111no—
1027#428—111no—
1028C2×#107—111no—
1029C2×#106—111no—
1030C2×C4⋊C8—111no—
1031#418—111no—
1032#418—111no—
1033#418—111no—
1034#418—111no—
1035#418—111no—
1036#417—111no—
1037#417—111no—
1038#417—111no—
1039#417—111no—
1040#417—111no—
1041#417—111no—
1042#417—111no—
1043#417—111no—
1044#417C2×D1111yescharacteristic, complemented
1045#416—111no—
1046#416—111no—
1047#416—111no—
1048#416—111no—
1049#416—111no—
1050#416C2×D1111yescharacteristic, complemented
1051C2×#102—111no—
1052C2×#102—111no—
1053C2×#102—111no—
1054C2×#102—111no—
1055C2×#102—111no—
1056C2×#102—111no—
1057#408—111no—
1058#408—111no—
1059C4×M16—111no—
1060C22×C11—21no—
1061C22×C11—21no—
1062C22×C11—21no—
1063C22×C11—21no—
1064C22×C11—21no—
1065C22×C11—21no—
1066C22×C11—22no—
1067C22×C11—41no—
1068C22×C11—41no—
1069C22×C11C23×D411yescharacteristic
1070C2×D11—21no—
1071C2×D11—21no—
1072C2×D11—21no—
1073C2×D11—21no—
1074C2×D11—21no—
1075C2×D11—21no—
1076C2×D11—22no—
1077C2×D11—21no—
1078C2×D11—21no—
1079C2×D11—41no—
1080C2×D11—41no—
1081C2×D11—41no—
1082C2×D11—41no—
1083C2×D11—41no—
1084C2×D11—41no—
1085C2×D11—41no—
1086C2×D11—41no—
1087C2×D11—41no—
1088C2×D11—41no—
1089C2×D11—41no—
1090C2×D11—84no—
1091C2×D11—162no—
1092C2×D11—162no—
1093C2×D11—162no—
1094C2×D11—162no—
1095C2×D11#54612yes—
1096C4×C11—21no—
1097C4×C11—21no—
1098C4×C11—21no—
1099C4×C11—21no—
1100C4×C11—41no—
1101C4×C11—41no—
1102C4×C11—41no—
1103C4×C11—41no—
1104C4×C11—41no—
1105C4×C11—41no—
1106C4×C11—41no—
1107C4×C11C22×#4111yescharacteristic
1108C4×C11C2×H(5,𝔽2)11yescharacteristic
1109Dic11—21no—
1110Dic11—21no—
1111Dic11—21no—
1112Dic11—21no—
1113Dic11—41no—
1114Dic11—41no—
1115Dic11—41no—
1116Dic11—41no—
1117Dic11#54612yes—
1118H(5,𝔽2)—224no—
1119H(5,𝔽2)—224no—
1120H(5,𝔽2)—442no—
1121H(5,𝔽2)—442no—
1122C2×#41—111no—
1123C2×#41—111no—
1124C2×#41—111no—
1125C2×#41—111no—
1126C2×#41—111no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—221no—
1130C2×#41—221no—
1131C2×#41C22×D1111yescharacteristic
1132C2×#41C22×D1111yescharacteristic
1133C22×D4—111no—
1134C22×D4—111no—
1135C22×D4—111no—
1136C22×D4—111no—
1137C22×D4—111no—
1138C22×D4—221no—
1139C22×D4—221no—
1140C22×D4—221no—
1141C22×D4—221no—
1142C22×D4—221no—
1143C22×D4—221no—
1144C22×D4—221no—
1145C22×D4—221no—
1146C23×C4—221no—
1147AGL(1,ℤ/8)—224no—
1148#135—442no—
1149#135—442no—
1150C2×Q16C22×D1111yescharacteristic
1151C2×Q16C22×D1111yescharacteristic
1152C2×SD16—111no—
1153C2×SD16—111no—
1154C2×SD16—111no—
1155C2×SD16—111no—
1156C2×SD16—111no—
1157C2×SD16C22×D1111yescharacteristic
1158C2×D8—111no—
1159C2×D8—111no—
1160C2×D8—111no—
1161C2×D8—111no—
1162#131—442no—
1163#131—442no—
1164C2×M16—111no—
1165C2×M16—111no—
1166C2×M16—111no—
1167C2×M16—111no—
1168C2×M16—111no—
1169C2×M16C22×D1111yescharacteristic
1170C22×C8—111no—
1171C22×C8—111no—
1172C22×C8—111no—
1173C22×C8—111no—
1174C22×C8—111no—
1175C22×C8C22×D1111yescharacteristic
1176C4⋊Q8—111no—
1177C4⋊Q8C22×D1111yescharacteristic
1178#127—111no—
1179#127—111no—
1180#126—21no—
1181#126—221no—
1182#126—221no—
1183#126—221no—
1184#126—221no—
1185#126—221no—
1186#126—221no—
1187#126—221no—
1188#125—21no—
1189#125—111no—
1190#125—111no—
1191#125—111no—
1192#125—221no—
1193#125—221no—
1194#125—221no—
1195#125—221no—
1196#125—221no—
1197#125C22×D1111yescharacteristic
1198#124—111no—
1199#124—111no—
1200#124—111no—
1201#124—111no—
1202#123—21no—
1203#123—21no—
1204#123—21no—
1205#123—221no—
1206#123—221no—
1207#123—221no—
1208#123—221no—
1209#123—221no—
1210#123—221no—
1211#123—221no—
1212#123—221no—
1213#123—221no—
1214#123—221no—
1215#123—221no—
1216#123—221no—
1217#123—221no—
1218C22⋊Q8—111no—
1219C22⋊Q8—111no—
1220C22⋊Q8—111no—
1221C22⋊Q8—111no—
1222C22⋊Q8—221no—
1223C22⋊Q8—221no—
1224C22⋊Q8—221no—
1225C22⋊Q8—221no—
1226C22⋊Q8C22×D1111yescharacteristic
1227C22⋊Q8C22×D1111yescharacteristic
1228C22⋊Q8C22×D1111yescharacteristic
1229C22⋊Q8C22×D1111yescharacteristic
1230#121—21no—
1231#121—111no—
1232#121—111no—
1233#121—111no—
1234#121—111no—
1235#121—111no—
1236#121—111no—
1237#121—111no—
1238#121—111no—
1239#121—111no—
1240#121—111no—
1241#121—111no—
1242#121—111no—
1243#121—221no—
1244#121—221no—
1245#121—221no—
1246#121—221no—
1247#121—221no—
1248#121—221no—
1249#121—221no—
1250#121—221no—
1251#121—221no—
1252#121—221no—
1253#121—221no—
1254#121—221no—
1255#121—221no—
1256#121—221no—
1257#121—221no—
1258#121—221no—
1259#121—221no—
1260#121—221no—
1261#121—221no—
1262#121—221no—
1263#121—221no—
1264#121—221no—
1265#121—221no—
1266#121—221no—
1267#121—221no—
1268#120—221no—
1269#120—221no—
1270#120—221no—
1271#120—221no—
1272#120—221no—
1273#120—221no—
1274#120—221no—
1275#120—221no—
1276C4×Q8—111no—
1277C4×Q8—221no—
1278C4×Q8—221no—
1279C4×Q8C22×D1111yescharacteristic
1280C4×D4—111no—
1281C4×D4—111no—
1282C4×D4—111no—
1283C4×D4—111no—
1284C4×D4—111no—
1285C4×D4—111no—
1286C4×D4—111no—
1287C4×D4—111no—
1288C4×D4—221no—
1289C4×D4—221no—
1290C4×D4—221no—
1291C4×D4—221no—
1292C4×D4—221no—
1293C4×D4—221no—
1294C4×D4—221no—
1295C4×D4—221no—
1296C4×D4—221no—
1297C4×D4—221no—
1298C4×D4—221no—
1299C4×D4—221no—
1300C4×D4—221no—
1301C4×D4—221no—
1302C4×D4—221no—
1303C4×D4—221no—
1304C4×D4C22×D1111yescharacteristic
1305C4×D4C22×D1111yescharacteristic
1306#117—21no—
1307#117—111no—
1308#117—111no—
1309#117—111no—
1310#117—111no—
1311#117—221no—
1312#117—221no—
1313#117—221no—
1314#117—221no—
1315#117C22×D1111yescharacteristic
1316C2×C4⋊C4—21no—
1317C2×C4⋊C4—111no—
1318C2×C4⋊C4—111no—
1319C2×C4⋊C4—111no—
1320C2×C4⋊C4—111no—
1321C2×C4⋊C4—111no—
1322C2×C4⋊C4—111no—
1323C2×C4⋊C4—221no—
1324C2×C4⋊C4—221no—
1325C2×C4⋊C4—221no—
1326C2×C4⋊C4C22×D1111yescharacteristic
1327C2×C22⋊C4—221no—
1328C2×C22⋊C4—221no—
1329C2×C22⋊C4—221no—
1330C2×C22⋊C4—221no—
1331C2×C22⋊C4—221no—
1332C2×C42—111no—
1333C2×C42—221no—
1334#107—111no—
1335#107—111no—
1336#107—111no—
1337#107—111no—
1338#107C22×D1111yescharacteristic
1339#107C22×D1111yescharacteristic
1340#106—111no—
1341#106—111no—
1342#106—111no—
1343#106—111no—
1344#106—111no—
1345#106C22×D1111yescharacteristic
1346C4⋊C8—111no—
1347C4⋊C8—111no—
1348C4⋊C8—111no—
1349C4⋊C8C22×D1111yescharacteristic
1350#103—111no—
1351#103—111no—
1352#103—111no—
1353#103—111no—
1354#103—111no—
1355#103—111no—
1356#103—111no—
1357#103C22×D1111yescharacteristic
1358#103C22×D1111yescharacteristic
1359#103C22×D1111yescharacteristic
1360#103C22×D1111yescharacteristic
1361#103C22×D1111yescharacteristic
1362#103C22×D1111yescharacteristic
1363#103C22×D1111yescharacteristic
1364#102—111no—
1365#102—111no—
1366#102—111no—
1367#102—111no—
1368#102—111no—
1369#102—111no—
1370#102—111no—
1371#102—111no—
1372#102—111no—
1373#102—111no—
1374#102—111no—
1375#102—111no—
1376#102—111no—
1377#102—111no—
1378#102—111no—
1379#102—111no—
1380#102—111no—
1381#102—111no—
1382#102—111no—
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387#102C22×D1111yescharacteristic
1388#102C22×D1111yescharacteristic
1389#102C22×D1111yescharacteristic
1390C22⋊C8—111no—
1391C22⋊C8—111no—
1392C22⋊C8—111no—
1393C22⋊C8—111no—
1394C22⋊C8—111no—
1395C22⋊C8—111no—
1396C22⋊C8C22×D1111yescharacteristic
1397C22⋊C8C22×D1111yescharacteristic
1398#97—111no—
1399#97C22×D1111yescharacteristic
1400C4×C8—111no—
1401C4×C8—111no—
1402C2×C11—42no—
1403C2×C11—41no—
1404C2×C11—41no—
1405C2×C11C2×#54611yescharacteristic
1406C2×C11#358411yescharacteristic
1407C2×C11#358511yescharacteristic
1408D11—22no—
1409D11—41no—
1410D11—41no—
1411D11—42no—
1412D11—81no—
1413D11—81no—
1414D11—81no—
1415C24—221no—
1416C24—221no—
1417C24—221no—
1418C24—221no—
1419C24—221no—
1420#41—22no—
1421#41—22no—
1422#41—41no—
1423#41—41no—
1424#41—222no—
1425#41—222no—
1426#41—222no—
1427#41—222no—
1428#41—222no—
1429#41—222no—
1430#41—222no—
1431#41—222no—
1432#41—222no—
1433#41—222no—
1434#41—222no—
1435#41—222no—
1436#41—444no—
1437#41—444no—
1438#41—441no—
1439#41—441no—
1440C2×Q8—111no—
1441C2×Q8—111no—
1442C2×Q8C23×D1111yescharacteristic
1443C2×Q8C23×D1111yescharacteristic
1444C2×Q8C23×D1111yescharacteristic
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—114no—
1448C2×D4—111no—
1449C2×D4—111no—
1450C2×D4—111no—
1451C2×D4—111no—
1452C2×D4—111no—
1453C2×D4—111no—
1454C2×D4—111no—
1455C2×D4—111no—
1456C2×D4—111no—
1457C2×D4—111no—
1458C2×D4—111no—
1459C2×D4—111no—
1460C2×D4—111no—
1461C2×D4—222no—
1462C2×D4—222no—
1463C2×D4—221no—
1464C2×D4—221no—
1465C2×D4—221no—
1466C2×D4—221no—
1467C2×D4—221no—
1468C2×D4—221no—
1469C2×D4—221no—
1470C2×D4—221no—
1471C2×D4—221no—
1472C2×D4—222no—
1473C2×D4—221no—
1474C2×D4—221no—
1475C2×D4—221no—
1476C2×D4—222no—
1477C2×D4—222no—
1478C2×D4—221no—
1479C2×D4—221no—
1480C2×D4—221no—
1481C2×D4—221no—
1482C2×D4—221no—
1483C2×D4—221no—
1484C2×D4—221no—
1485C2×D4—221no—
1486C2×D4—441no—
1487C2×D4—441no—
1488C2×D4—444no—
1489C2×D4—444no—
1490C2×D4—441no—
1491C2×D4—441no—
1492C2×D4—444no—
1493C2×D4—444no—
1494C2×D4—444no—
1495C2×D4—444no—
1496C2×D4—882no—
1497C2×D4—882no—
1498C2×D4D4×D1111yescharacteristic
1499C2×D4C23×D1111yescharacteristic
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—21no—
1504C22×C4—111no—
1505C22×C4—111no—
1506C22×C4—111no—
1507C22×C4—111no—
1508C22×C4—111no—
1509C22×C4—221no—
1510C22×C4—221no—
1511C22×C4—221no—
1512C22×C4—221no—
1513C22×C4—221no—
1514C22×C4—221no—
1515C22×C4—221no—
1516C22×C4—221no—
1517C22×C4—221no—
1518C22×C4—221no—
1519C22×C4—221no—
1520C22×C4—221no—
1521C22×C4—221no—
1522C22×C4—221no—
1523C22×C4—221no—
1524C22×C4—221no—
1525C22×C4—882no—
1526C22×C4C23×D1111yescharacteristic
1527C22×C4C23×D1111yescharacteristic
1528Q16—41no—
1529Q16—41no—
1530SD16—22no—
1531SD16—222no—
1532SD16—441no—
1533SD16—441no—
1534SD16—441no—
1535SD16—441no—
1536D8—222no—
1537D8—222no—
1538D8—441no—
1539D8—441no—
1540M16—41no—
1541M16—222no—
1542M16—222no—
1543M16—441no—
1544M16—441no—
1545M16—441no—
1546C2×C8—41no—
1547C2×C8—111no—
1548C2×C8—111no—
1549C2×C8—111no—
1550C2×C8—111no—
1551C2×C8—222no—
1552C2×C8—222no—
1553C2×C8—441no—
1554C2×C8—441no—
1555C2×C8—441no—
1556C2×C8C23×D1111yescharacteristic
1557C2×C8C23×D1111yescharacteristic
1558C2×C8C23×D1111yescharacteristic
1559C2×C8C23×D1111yescharacteristic
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—111no—
1571C4⋊C4—111no—
1572C4⋊C4—111no—
1573C4⋊C4—111no—
1574C4⋊C4—111no—
1575C4⋊C4—111no—
1576C4⋊C4—111no—
1577C4⋊C4—221no—
1578C4⋊C4—221no—
1579C4⋊C4—221no—
1580C4⋊C4—221no—
1581C4⋊C4—221no—
1582C4⋊C4—221no—
1583C4⋊C4—221no—
1584C4⋊C4—221no—
1585C4⋊C4—221no—
1586C4⋊C4—221no—
1587C4⋊C4—221no—
1588C4⋊C4—221no—
1589C4⋊C4—221no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4D4×D1111yescharacteristic
1595C4⋊C4C23×D1111yescharacteristic
1596C4⋊C4C23×D1111yescharacteristic
1597C4⋊C4C23×D1111yescharacteristic
1598C4⋊C4C23×D1111yescharacteristic
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—111no—
1606C22⋊C4—111no—
1607C22⋊C4—111no—
1608C22⋊C4—111no—
1609C22⋊C4—111no—
1610C22⋊C4—111no—
1611C22⋊C4—221no—
1612C22⋊C4—221no—
1613C22⋊C4—221no—
1614C22⋊C4—221no—
1615C22⋊C4—221no—
1616C22⋊C4—221no—
1617C22⋊C4—221no—
1618C22⋊C4—221no—
1619C22⋊C4—221no—
1620C22⋊C4—221no—
1621C22⋊C4—221no—
1622C22⋊C4—221no—
1623C22⋊C4—221no—
1624C22⋊C4—221no—
1625C22⋊C4—221no—
1626C22⋊C4—221no—
1627C22⋊C4—221no—
1628C22⋊C4—221no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4D4×D1111yescharacteristic
1637C22⋊C4D4×D1111yescharacteristic
1638C42—21no—
1639C42—21no—
1640C42—111no—
1641C42—111no—
1642C42—111no—
1643C42—221no—
1644C42—221no—
1645C42—221no—
1646C42—221no—
1647C42—221no—
1648C42C23×D1111yescharacteristic
1649C11#6120111yescharacteristic, complemented, Sylow
1650C23—21no—
1651C23—111no—
1652C23—111no—
1653C23—111no—
1654C23—224no—
1655C23—221no—
1656C23—221no—
1657C23—221no—
1658C23—221no—
1659C23—442no—
1660C23—442no—
1661C23—442no—
1662C23—442no—
1663C23—881no—
1664C23—881no—
1665C23—881no—
1666C23—881no—
1667C23—881no—
1668C23—881no—
1669C23—881no—
1670C23—881no—
1671C23—881no—
1672C23—881no—
1673C23C2×D4×D1111yescharacteristic
1674C23C2×D4×D1111yescharacteristic
1675Q8—21no—
1676Q8—21no—
1677Q8—21no—
1678Q8—21no—
1679Q8—21no—
1680Q8—21no—
1681Q8—222no—
1682Q8—222no—
1683D4—21no—
1684D4—41no—
1685D4—42no—
1686D4—42no—
1687D4—112no—
1688D4—222no—
1689D4—222no—
1690D4—224no—
1691D4—222no—
1692D4—222no—
1693D4—222no—
1694D4—222no—
1695D4—221no—
1696D4—221no—
1697D4—221no—
1698D4—221no—
1699D4—221no—
1700D4—221no—
1701D4—221no—
1702D4—441no—
1703D4—442no—
1704D4—442no—
1705D4—442no—
1706D4—442no—
1707D4—442no—
1708D4—442no—
1709D4—442no—
1710D4—442no—
1711D4—441no—
1712D4—441no—
1713D4—442no—
1714D4—442no—
1715D4—881no—
1716D4—881no—
1717D4—881no—
1718D4—881no—
1719D4—881no—
1720D4—881no—
1721D4—881no—
1722D4—881no—
1723D4—881no—
1724D4#41×D1112yes—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—42no—
1737C2×C4—42no—
1738C2×C4—42no—
1739C2×C4—81no—
1740C2×C4—111no—
1741C2×C4—112no—
1742C2×C4—112no—
1743C2×C4—111no—
1744C2×C4—111no—
1745C2×C4—111no—
1746C2×C4—111no—
1747C2×C4—221no—
1748C2×C4—221no—
1749C2×C4—221no—
1750C2×C4—221no—
1751C2×C4—221no—
1752C2×C4—221no—
1753C2×C4—221no—
1754C2×C4—221no—
1755C2×C4—441no—
1756C2×C4—441no—
1757C2×C4—442no—
1758C2×C4—442no—
1759C2×C4—442no—
1760C2×C4—442no—
1761C2×C4—442no—
1762C2×C4—442no—
1763C2×C4—881no—
1764C2×C4—881no—
1765C2×C4—881no—
1766C2×C4—881no—
1767C2×C4—881no—
1768C2×C4—881no—
1769C2×C4—881no—
1770C2×C4—881no—
1771C2×C4—881no—
1772C2×C4—881no—
1773C2×C4C2×D4×D1111yescharacteristic
1774C2×C4C2×D4×D1111yescharacteristic
1775C2×C4C2×D4×D1111yescharacteristic
1776C2×C4C2×D4×D1111yescharacteristic
1777C2×C4C24×D1111yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—221no—
1783C8—221no—
1784C8—221no—
1785C8—221no—
1786C22—21no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—22no—
1791C22—21no—
1792C22—21no—
1793C22—41no—
1794C22—41no—
1795C22—112no—
1796C22—221no—
1797C22—221no—
1798C22—221no—
1799C22—221no—
1800C22—221no—
1801C22—221no—
1802C22—222no—
1803C22—221no—
1804C22—221no—
1805C22—441no—
1806C22—441no—
1807C22—441no—
1808C22—441no—
1809C22—441no—
1810C22—441no—
1811C22—441no—
1812C22—441no—
1813C22—441no—
1814C22—441no—
1815C22—441no—
1816C22—884no—
1817C22—1762no—
1818C22—1762no—
1819C22—1762no—
1820C22—1762no—
1821C22C22×D4×D1111yescharacteristic
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—21no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—41no—
1833C4—112no—
1834C4—221no—
1835C4—221no—
1836C4—221no—
1837C4—221no—
1838C4—441no—
1839C4—441no—
1840C4—441no—
1841C4—441no—
1842C4C2×#41×D1111yescharacteristic
1843C4D11×H(5,𝔽2)11yescharacteristic
1844C2—41no—
1845C2—41no—
1846C2—42no—
1847C2—222no—
1848C2—441no—
1849C2—441no—
1850C2—442no—
1851C2—881no—
1852C2—881no—
1853C2—881no—
1854C2D11×#54611yescharacteristic
1855C2#1308338611yescharacteristic
1856C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3315C2
socleC22×C11C23×D4
hypercenter#3315D11
hypocenterC11#61201
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3315

Complements

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

NH ≅ G/Ntype
1. #13082530C2semidirect
2. #13082374C2semidirect
3. #13080838C2semidirect
4. #13080825C2semidirect
5. #13080818C2semidirect
6. #13080815C2semidirect
7. #13080759C2semidirect
8. #13080754C2semidirect
9. #13080719C2semidirect
10. #13080642C2semidirect
11. #13080631C2semidirect
12. #13080592C2semidirect
13. #13080591C2semidirect
14. #13080467C2semidirect
15. #13080464C2semidirect
16. #13080457C2semidirect
17. #13080444C2semidirect
18. #13079018C2semidirect
19. #13078602C2semidirect
20. #13078595C2semidirect
21. D11×#478C2semidirect
22. #13078287C2semidirect
23. #13078280C2semidirect
24. #13078074C2semidirect
25. #13077924C2semidirect
26. #13077924C2semidirect
27. #13077421C2semidirect
28. #13077357C2semidirect
29. #13077140C2semidirect
30. #13077138C2semidirect
31. C11×#3315C2semidirect
34. C11×#552C22semidirect
38. C2×#66972C22semidirect
39. C2×#66972C22semidirect
41. C2×#66960C22semidirect
42. C2×#66954C22semidirect
49. #10623226C22semidirect
50. D11×#125C22semidirect
57. #10623173C22semidirect
58. #10623170C22semidirect
63. #10623160C22semidirect
64. #10623160C22semidirect
67. #10623112C22semidirect
68. C4×#4343C22semidirect
69. #10623096C22semidirect
75. #10623061C22semidirect
77. #10623054C22semidirect
78. #10623045C22semidirect
81. #10623035C22semidirect
82. C11×#491C22semidirect
83. C11×#485C22semidirect
84. C11×#484C22semidirect
85. C11×#478C22semidirect
86. C11×#470C22semidirect
87. C11×#467C22semidirect
88. C11×#462C22semidirect
89. C11×#452C22semidirect
90. C11×#452C22semidirect
91. C11×#440C22semidirect
92. C11×#435C22semidirect
93. C11×#417C22semidirect
94. C11×#416C22semidirect
95. #10622851C22semidirect
96. #10622851C22semidirect
97. #10622846C22semidirect
98. #10622845C22semidirect
99. #10622802C22semidirect
100. #10622801C22semidirect
101. #10622800C22semidirect
102. #10622800C22semidirect
103. #10622798C22semidirect
104. #10622798C22semidirect
105. #10622782C22semidirect
106. #10622782C22semidirect
107. SD16×Dic11C22semidirect
108. #10622748C22semidirect
109. #10622744C22semidirect
110. #10622741C22semidirect
111. #10622728C22semidirect
112. C2×#66885C22semidirect
113. C8×C22⋊D11C22semidirect
114. #10622696C22semidirect
115. #10622695C22semidirect
116. #10622680C22semidirect
117. #10622679C22semidirect
118. #10622662C22semidirect
119. #10622662C22semidirect
120. #10622661C22semidirect
121. #10622661C22semidirect
122. #10622659C22semidirect
123. #10622659C22semidirect
124. #10622658C22semidirect
125. #10622656C22semidirect
126. #10622640C22semidirect
127. #10622639C22semidirect
128. #10622627C22semidirect
129. #10622624C22semidirect
130. #10622622C22semidirect
131. #10622616C22semidirect
132. #10622614C22semidirect
133. #10622580C22semidirect
134. C2×#66873C22semidirect
135. #10622504C22semidirect
136. #10622498C22semidirect
137. #10622498C22semidirect
138. #10622496C22semidirect
139. #10622495C22semidirect
140. #10622494C22semidirect
141. D11×#107C22semidirect
142. #10622485C22semidirect
143. #10622484C22semidirect
144. #10622478C22semidirect
145. #10622476C22semidirect
146. D11×#106C22semidirect
147. #10622460C22semidirect
148. #10622456C22semidirect
149. #10622449C22semidirect
150. D11×C4⋊C8C22semidirect
151. #10622432C22semidirect
152. #10622432C22semidirect
153. #10622428C22semidirect
154. #10622428C22semidirect
155. #10622425C22semidirect
156. #10622425C22semidirect
157. #10622424C22semidirect
158. #10622424C22semidirect
159. #10622422C22semidirect
160. #10622420C22semidirect
161. #10622420C22semidirect
162. #10622418C22semidirect
163. #10622417C22semidirect
164. #10622417C22semidirect
165. #10622417C22semidirect
166. #10622417C22semidirect
167. #10622416C22semidirect
168. #10622416C22semidirect
169. #10622416C22semidirect
170. #10622416C22semidirect
171. #10622416C22semidirect
172. #10622416C22semidirect
173. #10622416C22semidirect
174. #10622413C22semidirect
175. #10622413C22semidirect
176. #10622413C22semidirect
177. #10622413C22semidirect
178. #10622401C22semidirect
179. #10622386C22semidirect
180. #10622386C22semidirect
182. #10622383C22semidirect
183. #10622383C22semidirect
186. D11×#102C22semidirect
187. D11×#102C22semidirect
188. #10622379C22semidirect
189. #10622376C22semidirect
190. #10622369C22semidirect
191. #10622350C22semidirect
192. #10622348C22semidirect
193. #10622345C22semidirect
194. #10622345C22semidirect
195. #10622342C22semidirect
196. #10622340C22semidirect
197. #10622340C22semidirect
198. (C22⋊D11)⋊C8C22semidirect
199. #10622326C22semidirect
200. #10622324C22semidirect
201. #10622320C22semidirect
202. #10622319C22semidirect
731. #3315D11semidirect
907. #552C2×D11semidirect
940. #491C2×D11semidirect
950. #485C2×D11semidirect
952. #484C2×D11semidirect
970. #478C2×D11semidirect
972. #470C2×D11semidirect
980. #467C2×D11semidirect
991. #462C2×D11semidirect
997. #452C2×D11semidirect
998. #452C2×D11semidirect
1014. #440C2×D11semidirect
1024. #435C2×D11semidirect
1044. #417C2×D11semidirect
1050. #416C2×D11semidirect
1649. C11#61201semidirect

Maximal subgroups

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

subgroupindex
#130825302
#130823742
#130808382
#130808252
#130808182
#130808152
#130807592
#130807542
#130807192
#130806422
#130806312
#130805922
#130805912
#130804672
#130804642
#130804572
#130804442
#130790182
#130786022
#130785952
D11×#4782
#130782872
#130782802
#130780742
#130779242
#130774212
#130773572
#130771402
#130771382
C11×#33152
#6120111