Finite Group Databasebeta

← #15625376

Subgroups — #15625376

Order 2816.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082343C211yesmaximal, characteristic, complemented
2D11×#536C211yesmaximal, characteristic, complemented
3#13079727C211yesmaximal, characteristic, complemented
4#13079725C211yesmaximal, characteristic, complemented
5#13079723C211yesmaximal, characteristic, complemented
6#13079721C211yesmaximal, characteristic, complemented
7#13079675C211yesmaximal, characteristic, complemented
8#13079673C211yesmaximal, characteristic, complemented
9#13079671C211yesmaximal, characteristic, complemented
10#13079644C211yesmaximal, characteristic, complemented
11#13079642C211yesmaximal, characteristic, complemented
12#13079601C211yesmaximal, characteristic, complemented
13#13079598C211yesmaximal, characteristic, complemented
14#13079582C211yesmaximal, characteristic, complemented
15#13079579C211yesmaximal, characteristic, complemented
16#13079540C211yesmaximal, characteristic, complemented
17#13079537C211yesmaximal, characteristic, complemented
18#13079089C211yesmaximal, characteristic, complemented
19#13079085C211yesmaximal, characteristic, complemented
20#13078982C211yesmaximal, characteristic, complemented
21#13078980C211yesmaximal, characteristic, complemented
22#13078167C211yesmaximal, characteristic, complemented
23#13078161C211yesmaximal, characteristic, complemented
24#13078126C211yesmaximal, characteristic, complemented
25#13078123C211yesmaximal, characteristic, complemented
26#13077865C211yesmaximal, characteristic, complemented
27#13077847C211yesmaximal, characteristic, complemented
28#13077831C211yesmaximal, characteristic, complemented
29D11×#448C211yesmaximal, characteristic, complemented
30#13077272C211yesmaximal, characteristic, complemented
31C11×#3221C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C22×Q8×D11C2211yescharacteristic
34C11×#540C2211yescharacteristic, complemented
35C11×#536C2211yescharacteristic, complemented
36#10623356C2211yescharacteristic, complemented
37#10623347C2211yescharacteristic, complemented
38C2×#66969C2211yescharacteristic
39C2×#66968C2211yescharacteristic, complemented
40C2×#66968C2211yescharacteristic, complemented
41C2×#66967C2211yescharacteristic
42C2×SD16×D11C2211yescharacteristic, complemented
43C2×SD16×D11C2211yescharacteristic, complemented
44C2×#66965C2211yescharacteristic
45C2×#66964C2211yescharacteristic
46#10623255C2211yescharacteristic
47#10623255C2211yescharacteristic
48D11×C4⋊Q8C2211yescharacteristic, complemented
49D11×C4⋊Q8C2211yescharacteristic, complemented
50#10623247C2211yescharacteristic
51#10623246C2211yescharacteristic, complemented
52#10623222C2211yescharacteristic
53#10623220C2211yescharacteristic, complemented
54#10623206C2211yescharacteristic
55#10623206C2211yescharacteristic
56D11×#124C2211yescharacteristic, complemented
57D11×#124C2211yescharacteristic, complemented
58#10623192—21no—
59#10623190—21no—
60#10623189—21no—
61#10623186—21no—
62D11×#123—21no—
63D11×#123—21no—
64#10623179—21no—
65#10623179—21no—
66#10623159—21no—
67#10623159—21no—
68D11×C22⋊Q8—21no—
69D11×C22⋊Q8—21no—
70#10623150C2211yescharacteristic, complemented
71#10623147—21no—
72#10623143—21no—
73#10623141—21no—
74#10623137C2211yescharacteristic
75D11×#121C2211yescharacteristic
76#10623134C2211yescharacteristic, complemented
77#10623132—21no—
78#10623088C2211yescharacteristic
79#10623079C2211yescharacteristic
80#10623077C2211yescharacteristic, complemented
81#10623076C2211yescharacteristic, complemented
82#10623065C2211yescharacteristic, complemented
83#10623057C2211yescharacteristic, complemented
84D11×#117C2211yescharacteristic
85C11×#496C2211yescharacteristic, complemented
86C11×#492C2211yescharacteristic, complemented
87C11×#491C2211yescharacteristic, complemented
88C11×#488C2211yescharacteristic, complemented
89C11×#463C2211yescharacteristic, complemented
90C11×#463C2211yescharacteristic, complemented
91C11×#461C2211yescharacteristic, complemented
92C11×#461C2211yescharacteristic, complemented
93C11×#449C2211yescharacteristic
94C11×#449C2211yescharacteristic, complemented
95C11×#448C2211yescharacteristic, complemented
96C11×#448C2211yescharacteristic, complemented
97C11×#433C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622851C2211yescharacteristic
100#10622841C2211yescharacteristic, complemented
101#10622840C2211yescharacteristic, complemented
102#10622789C2211yescharacteristic, complemented
103#10622788C2211yescharacteristic, complemented
104#10622788C2211yescharacteristic, complemented
105#10622783C2211yescharacteristic
106#10622783C2211yescharacteristic
107#10622783C2211yescharacteristic
108#10622783C2211yescharacteristic, complemented
109#10622783C2211yescharacteristic, complemented
110#10622783C2211yescharacteristic, complemented
111#10622781C2211yescharacteristic, complemented
112#10622780C2211yescharacteristic, complemented
113#10622780C2211yescharacteristic, complemented
114#10622778C2211yescharacteristic, complemented
115#10622778C2211yescharacteristic, complemented
116#10622775C2211yescharacteristic, complemented
117#10622775C2211yescharacteristic, complemented
118#10622775C2211yescharacteristic, complemented
119#10622775C2211yescharacteristic, complemented
120#10622769C2211yescharacteristic
121#10622769C2211yescharacteristic, complemented
122#10622768C2211yescharacteristic, complemented
123#10622767C2211yescharacteristic, complemented
124#10622766C2211yescharacteristic, complemented
125#10622766C2211yescharacteristic, complemented
126#10622703C2211yescharacteristic, complemented
127#10622699C2211yescharacteristic, complemented
128#10622696C2211yescharacteristic, complemented
129#10622694C2211yescharacteristic, complemented
130#10622689C2211yescharacteristic, complemented
131#10622687C2211yescharacteristic, complemented
132#10622682C2211yescharacteristic, complemented
133#10622681C2211yescharacteristic, complemented
134#10622672C2211yescharacteristic, complemented
135#10622670C2211yescharacteristic, complemented
136#10622668C2211yescharacteristic, complemented
137#10622667C2211yescharacteristic, complemented
138#10622653C2211yescharacteristic, complemented
139#10622653C2211yescharacteristic, complemented
140#10622650C2211yescharacteristic
141#10622650C2211yescharacteristic, complemented
142#10622632C2211yescharacteristic, complemented
143#10622632C2211yescharacteristic, complemented
144#10622629C2211yescharacteristic, complemented
145#10622629C2211yescharacteristic, complemented
146#10622613C2211yescharacteristic, complemented
147#10622462C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622457C2211yescharacteristic, complemented
150#10622454C2211yescharacteristic, complemented
151#10622452C2211yescharacteristic, complemented
152#10622452C2211yescharacteristic, complemented
153#10622448C2211yescharacteristic, complemented
154#10622446C2211yescharacteristic, complemented
155#10622432C2211yescharacteristic, complemented
156#10622431C2211yescharacteristic, complemented
157#10622431C2211yescharacteristic, complemented
158#10622421C2211yescharacteristic, complemented
159#10622421C2211yescharacteristic, complemented
160#10622421C2211yescharacteristic, complemented
161#10622419C2211yescharacteristic
162#10622419C2211yescharacteristic
163#10622419C2211yescharacteristic
164#10622417C2211yescharacteristic
165#10622416C2211yescharacteristic
166#10622415C2211yescharacteristic, complemented
167#10622415C2211yescharacteristic, complemented
168D11×#103C2211yescharacteristic, complemented
169D11×#103C2211yescharacteristic, complemented
170#10622413C2211yescharacteristic, complemented
171#10622411C2211yescharacteristic, complemented
172#10622410C2211yescharacteristic, complemented
173#10622410C2211yescharacteristic, complemented
174#10622408C2211yescharacteristic, complemented
175#10622406C2211yescharacteristic, complemented
176#10622406C2211yescharacteristic, complemented
177#10622405C2211yescharacteristic, complemented
178#10622405C2211yescharacteristic, complemented
179#10622400C2211yescharacteristic, complemented
180#10622389C2211yescharacteristic, complemented
181#10622386C2211yescharacteristic
182#10622385C2211yescharacteristic
183#10622384C2211yescharacteristic
184#10622381C2211yescharacteristic, complemented
185#10622380C2211yescharacteristic, complemented
186#10622378C2211yescharacteristic, complemented
187#10622352C2211yescharacteristic, complemented
188#10622351C2211yescharacteristic, complemented
189#10622347C2211yescharacteristic
190#10622346C2211yescharacteristic, complemented
191#10622339C2211yescharacteristic
192D11×C22⋊C8C2211yescharacteristic
193#10622333C2211yescharacteristic, complemented
194#10622333C2211yescharacteristic, complemented
195#10622328C2211yescharacteristic, complemented
196#10622327C2211yescharacteristic, complemented
197#10622321C2211yescharacteristic, complemented
198#10622318C2211yescharacteristic, complemented
199#10622309C2211yescharacteristic, complemented
200#10622302C2211yescharacteristic, complemented
201#10622298C2211yescharacteristic, complemented
202#10622294C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205#41×D11—42no—
206#41×D11—42no—
207C2×#4343C2311yescharacteristic
208C2×Q8×D11—21no—
209C2×Q8×D11—21no—
210C2×Q8×D11—42no—
211C2×Q8×D11—42no—
212C2×Q8×D11C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214C2×Q8×D11C2311yescharacteristic
215C2×Q8×D11C2311yescharacteristic
216C2×Q8×D11C2311yescharacteristic
217C2×#4341—21no—
218C2×#4341—21no—
219C2×#4341C2311yescharacteristic
220C2×#4341C2311yescharacteristic
221C2×D4×D11—21no—
222C2×D4×D11—21no—
223C2×D4×D11C2311yescharacteristic
224C2×D4×D11C2311yescharacteristic
225C2×#4339—21no—
226C2×#4339—21no—
227C2×#4339C2311yescharacteristic
228C22×C4×D11—21no—
229C22×C4×D11—21no—
230C22×C4×D11C2311yescharacteristic
231C22×Dic22—21no—
232C22×Dic22C2311yescharacteristic
233C2×C11×SD16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C2×C11×SD16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×SD16C2311yescharacteristic
238C2×C11×SD16C2311yescharacteristic
239C2×C11×D8C2311yescharacteristic
240C2×C11×D8C2311yescharacteristic
241C11×C4⋊Q8C2311yescharacteristic
242C11×C4⋊Q8C2311yescharacteristic
243C11×#127C2311yescharacteristic
244C11×#125C2311yescharacteristic
245C11×#124C2311yescharacteristic
246C11×#124C2311yescharacteristic
247C11×#123—21no—
248C11×#123—21no—
249C11×#123—21no—
250C11×#123—21no—
251C11×C22⋊Q8—21no—
252C11×C22⋊Q8—21no—
253C11×#121—21no—
254C11×#121—21no—
255C11×#121C2311yescharacteristic
256C11×#121C2311yescharacteristic
257C4×D4×C11C2311yescharacteristic
258C4×D4×C11C2311yescharacteristic
259C11×#117C2311yescharacteristic
260#67000C2311yescharacteristic
261#67000C2311yescharacteristic
262#66999—21no—
263#66999—21no—
264#66997C2311yescharacteristic
265#66997C2311yescharacteristic
266#66997C2311yescharacteristic
267#66997C2311yescharacteristic
268C2×#4326C2311yescharacteristic
269C2×#4326C2311yescharacteristic
270C2×#4326C2311yescharacteristic
271C2×#4325C2311yescharacteristic
272C2×#4325C2311yescharacteristic
273C2×#4325C2311yescharacteristic
274#66993C2311yescharacteristic
275#66992—21no—
276#66992—21no—
277#66992—21no—
278#66992—21no—
279#66991—21no—
280#66991—21no—
281#66991C2311yescharacteristic
282#66991C2311yescharacteristic
283#66990—21no—
284#66990—21no—
285#66990—21no—
286#66989—21no—
287#66989—21no—
288#66989C2311yescharacteristic
289#66989C2311yescharacteristic
290#66989C2311yescharacteristic
291#66988—21no—
292#66988—21no—
293#66988—21no—
294D4×Dic11—21no—
295D4×Dic11—21no—
296D4×Dic11C2311yescharacteristic
297D4×Dic11C2311yescharacteristic
298C2×#4324C2311yescharacteristic
299C2×#4324C2311yescharacteristic
300C2×#4324C2311yescharacteristic
301C2×#4324C2311yescharacteristic
302C2×#4324C2311yescharacteristic
303C2×#4324C2311yescharacteristic
304C2×#4324C2311yescharacteristic
305C2×#4323C2311yescharacteristic
306C2×#4323C2311yescharacteristic
307C2×#4323C2311yescharacteristic
308#66983C2311yescharacteristic
309#66982—21no—
310#66982—21no—
311C4×C22⋊D11—21no—
312C4×C22⋊D11—21no—
313C4×C22⋊D11—21no—
314C4×C22⋊D11—21no—
315C2×(C2×D11)⋊C4—21no—
316#66979—21no—
317#66979C2311yescharacteristic
318#66977—21no—
319#66977—21no—
320#66977C2311yescharacteristic
321C2×Dic11⋊C4—21no—
322#66969—42no—
323#66968—42no—
324#66968—42no—
325#66967—42no—
326SD16×D11—42no—
327SD16×D11—42no—
328#66965—42no—
329#66964—42no—
330C2×Dic44C2311yescharacteristic
331C2×Dic44C2311yescharacteristic
332C2×Dic44C2311yescharacteristic
333C2×D88C2311yescharacteristic
334C2×#4314C2311yescharacteristic
335C2×#4314C2311yescharacteristic
336C2×#4314C2311yescharacteristic
337C2×#4314C2311yescharacteristic
338C2×#4313C2311yescharacteristic
339C2×#4313C2311yescharacteristic
340C2×C8×D11C2311yescharacteristic
341C2×C8×D11C2311yescharacteristic
342#66951—21no—
343#66951—21no—
344#66950—21no—
345#66950—21no—
346#66950—21no—
347#66950C2311yescharacteristic
348#66949—21no—
349#66949—21no—
350#66949—21no—
351#66949—21no—
352#66949—21no—
353#66949—21no—
354#66948C2311yescharacteristic
355#66947—21no—
356#66947—21no—
357#66947—21no—
358#66947—21no—
359#66947—21no—
360#66946—21no—
361#66946C2311yescharacteristic
362#66945—21no—
363#66945D411yescharacteristic
364#66945D411yescharacteristic
365#66945C2311yescharacteristic
366C4⋊C4×D11—21no—
367C4⋊C4×D11—21no—
368C4⋊C4×D11—21no—
369C4⋊C4×D11—21no—
370C4⋊C4×D11D411yescharacteristic
371C4⋊C4×D11D411yescharacteristic
372C4⋊C4×D11C2311yescharacteristic
373#66943C2311yescharacteristic
374#66942—21no—
375#66941—21no—
376#66941—21no—
377#66941—21no—
378#66941—21no—
379#66941—21no—
380#66941C2311yescharacteristic
381#66940C2311yescharacteristic
382#66939—21no—
383#66939—21no—
384#66939—21no—
385#66938—21no—
386#66938—21no—
387#66938—21no—
388#66938—21no—
389#66938—21no—
390#66938—21no—
391#66937—21no—
392#66937—21no—
393#66936—21no—
394#66936—21no—
395#66936—21no—
396#66936—21no—
397#66936—21no—
398#66936—21no—
399#66936—21no—
400#66936—21no—
401(C22⋊D11)⋊C4—21no—
402(C22⋊D11)⋊C4—21no—
403(C22⋊D11)⋊C4—21no—
404C22⋊C4×D11—21no—
405C22⋊C4×D11—21no—
406C22⋊C4×D11—21no—
407C22⋊C4×D11—21no—
408C22⋊C4×D11—21no—
409C22⋊C4×D11—21no—
410C22⋊C4×D11D411yescharacteristic
411C22⋊C4×D11D411yescharacteristic
412#66932—21no—
413#66932—21no—
414#66931—21no—
415#66931—21no—
416#66931—21no—
417#66931—21no—
418#66931—21no—
419#66930—21no—
420#66930D411yescharacteristic
421#66930D411yescharacteristic
422#66928C2311yescharacteristic
423#66928C2311yescharacteristic
424#66928C2311yescharacteristic
425C4×D44C2311yescharacteristic
426#66925C2311yescharacteristic
427#66925C2311yescharacteristic
428C42×D11C2311yescharacteristic
429C42×D11C2311yescharacteristic
430#66922C2311yescharacteristic
431#66922C2311yescharacteristic
432#66922C2311yescharacteristic
433C4×Dic22C2311yescharacteristic
434C11×C4⋊C8C2311yescharacteristic
435C11×C4⋊C8C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#103C2311yescharacteristic
439C11×#103C2311yescharacteristic
440C11×#103C2311yescharacteristic
441C11×#103C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C11×#97C2311yescharacteristic
447C4×C8×C11C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66899C2311yescharacteristic
451#66899C2311yescharacteristic
452#66899C2311yescharacteristic
453#66899C2311yescharacteristic
454#66896C2311yescharacteristic
455#66896C2311yescharacteristic
456C22⋊(C11⋊C8)C2311yescharacteristic
457C22⋊(C11⋊C8)C2311yescharacteristic
458#66885C2311yescharacteristic
459#66885C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464#66880C2311yescharacteristic
465#66880C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468#66880C2311yescharacteristic
469#66880C2311yescharacteristic
470#66879C2311yescharacteristic
471#66879C2311yescharacteristic
472Dic11⋊C8C2311yescharacteristic
473Dic11⋊C8C2311yescharacteristic
474Dic11⋊C8C2311yescharacteristic
475Dic11⋊C8C2311yescharacteristic
476C8×Dic11C2311yescharacteristic
477C8×Dic11C2311yescharacteristic
478#66874C2311yescharacteristic
479#66874C2311yescharacteristic
480#66874C2311yescharacteristic
481#66874C2311yescharacteristic
482#66874C2311yescharacteristic
483#66874C2311yescharacteristic
484#66873C2311yescharacteristic
485#66873C2311yescharacteristic
486C4⋊(C11⋊C8)C2311yescharacteristic
487C4⋊(C11⋊C8)C2311yescharacteristic
488#66867C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#60813—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11C2×D411yescharacteristic
494C11×#41—41no—
495C11×#41—41no—
496C2×Q8×C11—21no—
497C2×Q8×C11—41no—
498C2×Q8×C11—41no—
499C2×Q8×C11C2411yescharacteristic
500C2×Q8×C11C2411yescharacteristic
501C2×Q8×C11C2411yescharacteristic
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11—21no—
506C2×D4×C11—21no—
507C2×D4×C11C2411yescharacteristic
508C2×D4×C11C2411yescharacteristic
509C2×D4×C11C2411yescharacteristic
510C22×C4×C11—21no—
511C22×C4×C11—21no—
512C22×C4×C11—21no—
513C22×C4×C11—21no—
514C22×C4×C11C2411yescharacteristic
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C22×Dic11—21no—
526C22×Dic11—21no—
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11—21no—
530C22×Dic11C2×D411yescharacteristic
531#4343—22no—
532#4343—22no—
533Q8×D11—22no—
534Q8×D11—22no—
535Q8×D11—22no—
536Q8×D11—22no—
537Q8×D11—41no—
538Q8×D11—41no—
539Q8×D11—41no—
540Q8×D11—41no—
541Q8×D11—41no—
542Q8×D11—41no—
543Q8×D11—44no—
544Q8×D11—44no—
545#4341—22no—
546#4341—22no—
547#4341—22no—
548#4341—22no—
549#4341—44no—
550#4341—82no—
551D4×D11—22no—
552D4×D11—22no—
553D4×D11—41no—
554D4×D11—41no—
555D4×D11—44no—
556D4×D11—82no—
557#4339—41no—
558#4339—41no—
559#4339—44no—
560#4339—82no—
561C2×D44—21no—
562C2×D44—21no—
563C2×D44C2411yescharacteristic
564C2×D44C2411yescharacteristic
565C2×C4×D11—22no—
566C2×C4×D11—22no—
567C2×C4×D11—21no—
568C2×C4×D11—21no—
569C2×C4×D11—21no—
570C2×C4×D11—21no—
571C2×C4×D11—21no—
572C2×C4×D11—21no—
573C2×C4×D11—21no—
574C2×C4×D11—21no—
575C2×C4×D11—21no—
576C2×C4×D11—21no—
577C2×C4×D11—44no—
578C2×C4×D11—44no—
579C2×C4×D11C2×D411yescharacteristic
580C2×C4×D11C2×D411yescharacteristic
581C2×C4×D11C2×D411yescharacteristic
582C2×C4×D11C2×D411yescharacteristic
583C2×C4×D11C2×D411yescharacteristic
584C2×C4×D11C2×D411yescharacteristic
585C2×C4×D11C2411yescharacteristic
586C2×C4×D11C2411yescharacteristic
587C2×Dic22—21no—
588C2×Dic22—21no—
589C2×Dic22—21no—
590C2×Dic22—21no—
591C2×Dic22—21no—
592C2×Dic22—21no—
593C2×Dic22—21no—
594C2×Dic22—21no—
595C2×Dic22—41no—
596C2×Dic22—41no—
597C2×Dic22—44no—
598C2×Dic22C2411yescharacteristic
599C2×Dic22C2411yescharacteristic
600C2×Dic22C2411yescharacteristic
601C2×Dic22C2411yescharacteristic
602C11×SD16—41no—
603C11×SD16—41no—
604C11×SD16—41no—
605C11×SD16—41no—
606C11×SD16—41no—
607C11×SD16—41no—
608C11×D8—41no—
609C11×D8—41no—
610C2×C8×C11C2411yescharacteristic
611C2×C8×C11C2411yescharacteristic
612C2×C8×C11C2411yescharacteristic
613C2×C8×C11C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
622C11×C4⋊C4C2411yescharacteristic
623C11×C4⋊C4C2411yescharacteristic
624C11×C22⋊C4—21no—
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⋊C4—21no—
632C11×C22⋊C4C2×D411yescharacteristic
633C11×C22⋊C4C2×D411yescharacteristic
634C42×C11C2411yescharacteristic
635C42×C11C2411yescharacteristic
636C22⋊Dic11—21no—
637C22⋊Dic11—21no—
638C22⋊Dic11—21no—
639C22⋊Dic11—21no—
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11C2×D411yescharacteristic
648C22⋊Dic11C2×D411yescharacteristic
649#4326—41no—
650#4326—41no—
651#4326—41no—
652#4325—41no—
653#4325—41no—
654#4325—41no—
655#4324—41no—
656#4324—41no—
657#4324—41no—
658#4324—41no—
659#4324—41no—
660#4324—41no—
661#4324—41no—
662#4323—41no—
663#4323—41no—
664#4323—41no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4C2×D411yescharacteristic
682(C2×D11)⋊C4C2×D411yescharacteristic
683(C2×D11)⋊C4C2×D411yescharacteristic
684(C2×D11)⋊C4C2×D411yescharacteristic
685C4⋊Dic11—21no—
686C4⋊Dic11—21no—
687C4⋊Dic11—21no—
688C4⋊Dic11—21no—
689C4⋊Dic11—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11—21no—
692C4⋊Dic11C2×D411yescharacteristic
693C4⋊Dic11C2×D411yescharacteristic
694C4⋊Dic11C2411yescharacteristic
695C4⋊Dic11C2411yescharacteristic
696Dic11⋊C4—21no—
697Dic11⋊C4—21no—
698Dic11⋊C4—21no—
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4C2×D411yescharacteristic
711Dic11⋊C4C2×D411yescharacteristic
712Dic11⋊C4C2×D411yescharacteristic
713Dic11⋊C4C2×D411yescharacteristic
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11—21no—
717C4×Dic11C2×D411yescharacteristic
718C4×Dic11C2×D411yescharacteristic
719C4×Dic11C2×D411yescharacteristic
720C4×Dic11C2×D411yescharacteristic
721C4×Dic11C2411yescharacteristic
722C4×Dic11C2411yescharacteristic
723C2×C11⋊C8C2411yescharacteristic
724C2×C11⋊C8C2411yescharacteristic
725C2×C11⋊C8C2411yescharacteristic
726C2×C11⋊C8C2411yescharacteristic
727Dic44—41no—
728Dic44—41no—
729Dic44—41no—
730D88—41no—
731#4314—41no—
732#4314—41no—
733#4314—41no—
734#4314—41no—
735#4313—22no—
736#4313—22no—
737C8×D11—22no—
738C8×D11—22no—
739#3494—111no—
740C2×#536—111no—
741#3225—111no—
742#3225—111no—
743#3225—111no—
744#3225—111no—
745#3221—111no—
746#3221—111no—
747#3221—111no—
748#3221D1111yescharacteristic, complemented
749#3218—111no—
750#3218—111no—
751#3213—111no—
752#3213—111no—
753#3211—111no—
754#3211—111no—
755#3206—111no—
756#3206—111no—
757#3154—111no—
758#3154—111no—
759#3137—111no—
760#3137—111no—
761#3046—111no—
762#3046—111no—
763#3042—111no—
764#3042—111no—
765#3006—111no—
766#3004—111no—
767#3002—111no—
768C2×#448—111no—
769#2924—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11—21no—
773C23×C11C22×D411yescharacteristic
774C22×D11—22no—
775C22×D11—22no—
776C22×D11—21no—
777C22×D11—21no—
778C22×D11—41no—
779C22×D11—42no—
780C22×D11—42no—
781C22×D11—42no—
782C22×D11—42no—
783C22×D11—81no—
784C22×D11—81no—
785C22×D11C22×D411yescharacteristic
786C22×D11C22×D411yescharacteristic
787Q8×C11—21no—
788Q8×C11—21no—
789Q8×C11—21no—
790Q8×C11—21no—
791Q8×C11—21no—
792Q8×C11—21no—
793Q8×C11—42no—
794D4×C11—21no—
795D4×C11—21no—
796D4×C11—21no—
797D4×C11—21no—
798D4×C11—21no—
799D4×C11—21no—
800D4×C11—42no—
801D4×C11—81no—
802D4×C11—81no—
803D4×C11—81no—
804D4×C11—81no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—21no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—42no—
813C2×C4×C11—42no—
814C2×C4×C11—81no—
815C2×C4×C11—81no—
816C2×C4×C11C22×D411yescharacteristic
817C2×C4×C11C22×D411yescharacteristic
818C2×C4×C11C22×D411yescharacteristic
819C2×C4×C11C22×D411yescharacteristic
820C2×C4×C11C22×D411yescharacteristic
821C2×C4×C11C2511yescharacteristic
822C22⋊D11—42no—
823C22⋊D11—42no—
824C22⋊D11—42no—
825C22⋊D11—42no—
826C22⋊D11—42no—
827C22⋊D11—42no—
828C22⋊D11—42no—
829C22⋊D11—81no—
830C22⋊D11—81no—
831C22⋊D11—81no—
832C2×Dic11—22no—
833C2×Dic11—21no—
834C2×Dic11—21no—
835C2×Dic11—21no—
836C2×Dic11—21no—
837C2×Dic11—21no—
838C2×Dic11—21no—
839C2×Dic11—42no—
840C2×Dic11—42no—
841C2×Dic11—42no—
842C2×Dic11—81no—
843C2×Dic11—81no—
844C2×Dic11C22×D411yescharacteristic
845C2×Dic11C22×D411yescharacteristic
846C2×Dic11C22×D411yescharacteristic
847C2×Dic11C22×D411yescharacteristic
848C2×Dic11C22×D411yescharacteristic
849C2×Dic11C22×D411yescharacteristic
850D44—21no—
851D44—21no—
852D44—21no—
853D44—21no—
854D44—42no—
855D44—42no—
856C4×D11—22no—
857C4×D11—22no—
858C4×D11—22no—
859C4×D11—21no—
860C4×D11—21no—
861C4×D11—22no—
862C4×D11—41no—
863C4×D11—41no—
864C4×D11—42no—
865C4×D11—42no—
866C4×D11—42no—
867C4×D11—42no—
868C4×D11—42no—
869C4×D11—42no—
870C4×D11—42no—
871C4×D11—81no—
872C4×D11—81no—
873C4×D11—81no—
874C4×D11H(5,𝔽2)12yes—
875C4×D11H(5,𝔽2)12yes—
876Dic22—21no—
877Dic22—21no—
878Dic22—21no—
879Dic22—21no—
880Dic22—21no—
881Dic22—21no—
882Dic22—21no—
883Dic22—21no—
884Dic22—42no—
885Dic22—42no—
886Dic22—42no—
887Dic22—42no—
888Dic22—42no—
889Dic22—42no—
890Dic22—81no—
891Dic22—81no—
892C8×C11—21no—
893C8×C11—21no—
894C8×C11—21no—
895C8×C11—21no—
896C11⋊C8—21no—
897C11⋊C8—21no—
898C11⋊C8—21no—
899C11⋊C8—21no—
900C22×#41—111no—
901C23×Q8—111no—
902C2×#137—111no—
903C2×#137—111no—
904C2×AGL(1,ℤ/8)—111no—
905C2×AGL(1,ℤ/8)—111no—
906C2×#135—111no—
907C2×#135—111no—
908C22×SD16—111no—
909C22×SD16—111no—
910#555—221no—
911#553—221no—
912#553—221no—
913#551—221no—
914#551—221no—
915#547—221no—
916#546—221no—
917#546—221no—
918#544—111no—
919#542—111no—
920#542—111no—
921#540—111no—
922#540C2×D1111yescharacteristic, complemented
923#536—111no—
924#536—111no—
925#536—111no—
926#536—111no—
927#536—111no—
928#536—111no—
929#536—111no—
930#536—221no—
931#536—221no—
932#536—221no—
933#536—221no—
934#536C2×D1111yescharacteristic, complemented
935#535—111no—
936#532—111no—
937#532—111no—
938C2×C4⋊Q8—111no—
939C2×C4⋊Q8—111no—
940#529—111no—
941#529—111no—
942C2×#124—111no—
943C2×#124—111no—
944#525—111no—
945C2×#123—221no—
946C2×#123—221no—
947C2×C22⋊Q8—221no—
948C2×C22⋊Q8—221no—
949C2×#121—111no—
950#520—111no—
951#518—111no—
952C2×#117—111no—
953#497—111no—
954#497—111no—
955#497—111no—
956#497—111no—
957#496—111no—
958#496—111no—
959#496—111no—
960#496C2×D1111yescharacteristic, complemented
961#495—111no—
962#495—111no—
963#495—111no—
964#495—111no—
965#492—111no—
966#492—111no—
967#492—111no—
968#492C2×D1111yescharacteristic, complemented
969#491—111no—
970#491—111no—
971#491—111no—
972#491C2×D1111yescharacteristic, complemented
973#489—111no—
974#489—111no—
975#489—111no—
976#489—111no—
977#488—111no—
978#488—111no—
979#488—111no—
980#488C2×D1111yescharacteristic, complemented
981#487—111no—
982#487—111no—
983#487—111no—
984#487—111no—
985#464—111no—
986#464—111no—
987#464—111no—
988#464—111no—
989#463—111no—
990#463—111no—
991#463—111no—
992#463—111no—
993#463—111no—
994#463—111no—
995#463—111no—
996#463—111no—
997#463—111no—
998#463—111no—
999#463C2×D1111yescharacteristic, complemented
1000#463C2×D1111yescharacteristic, complemented
1001#462—111no—
1002#462—111no—
1003#462—111no—
1004#462—111no—
1005#461—111no—
1006#461—111no—
1007#461—111no—
1008#461—111no—
1009#461—111no—
1010#461—111no—
1011#461—111no—
1012#461—111no—
1013#461—111no—
1014#461—111no—
1015#461C2×D1111yescharacteristic, complemented
1016#461C2×D1111yescharacteristic, complemented
1017#452—111no—
1018#452—111no—
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#451—111no—
1023#451—111no—
1024#450—111no—
1025#449—111no—
1026#449—111no—
1027#449—111no—
1028#449—111no—
1029#449C2×D1111yescharacteristic
1030#449C2×D1111yescharacteristic, complemented
1031#448—111no—
1032#448—111no—
1033#448—111no—
1034#448—111no—
1035#448—111no—
1036#448—111no—
1037#448—111no—
1038#448—111no—
1039#448—111no—
1040#448—111no—
1041#448—111no—
1042#448—111no—
1043#448—111no—
1044#448C2×D1111yescharacteristic, complemented
1045#448C2×D1111yescharacteristic, complemented
1046#447—111no—
1047#447—111no—
1048#447—111no—
1049#433—111no—
1050#433—111no—
1051#433—111no—
1052#433C2×D1111yescharacteristic, complemented
1053#432—111no—
1054#432—111no—
1055#431—111no—
1056#431—111no—
1057#424—111no—
1058#424—111no—
1059#419—111no—
1060#419—111no—
1061#417—111no—
1062#417—111no—
1063#416—111no—
1064#416—111no—
1065C2×#103—111no—
1066C2×#103—111no—
1067#407—111no—
1068C2×C22⋊C8—111no—
1069#405—111no—
1070#405—111no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—21no—
1074C22×C11—41no—
1075C22×C11—41no—
1076C22×C11—41no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11—41no—
1080C22×C11—41no—
1081C22×C11—41no—
1082C22×C11—41no—
1083C22×C11C23×D411yescharacteristic
1084C2×D11—21no—
1085C2×D11—21no—
1086C2×D11—21no—
1087C2×D11—21no—
1088C2×D11—44no—
1089C2×D11—41no—
1090C2×D11—41no—
1091C2×D11—41no—
1092C2×D11—41no—
1093C2×D11—41no—
1094C2×D11—41no—
1095C2×D11—84no—
1096C2×D11—162no—
1097C2×D11#53512yes—
1098C2×D11#57712yes—
1099C4×C11—21no—
1100C4×C11—21no—
1101C4×C11—21no—
1102C4×C11—21no—
1103C4×C11—21no—
1104C4×C11—41no—
1105C4×C11—41no—
1106C4×C11—41no—
1107C4×C11—41no—
1108C4×C11—41no—
1109C4×C11C2×H(5,𝔽2)11yescharacteristic
1110C4×C11C2×H(5,𝔽2)11yescharacteristic
1111Dic11—21no—
1112Dic11—21no—
1113Dic11—21no—
1114Dic11—21no—
1115Dic11—21no—
1116Dic11—41no—
1117Dic11—41no—
1118Dic11—41no—
1119Dic11—41no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11#53512yes—
1123C2×#41—111no—
1124C2×#41—111no—
1125C2×#41—111no—
1126C2×#41—111no—
1127C2×#41—221no—
1128C2×#41—221no—
1129C2×#41—221no—
1130C2×#41—221no—
1131C2×#41—442no—
1132C2×#41—442no—
1133C2×#41C22×D1111yescharacteristic
1134C22×Q8—111no—
1135C22×Q8—111no—
1136C22×Q8—111no—
1137C22×Q8—111no—
1138C22×Q8—111no—
1139C22×Q8—111no—
1140C22×Q8—221no—
1141C22×Q8—221no—
1142C22×Q8—221no—
1143C22×Q8—442no—
1144C22×Q8—442no—
1145C22×Q8C22×D1111yescharacteristic
1146C22×D4—111no—
1147C22×D4—111no—
1148C22×D4—221no—
1149C22×D4—221no—
1150C23×C4—111no—
1151C23×C4—221no—
1152C23×C4—221no—
1153#137—442no—
1154#137—442no—
1155AGL(1,ℤ/8)—442no—
1156AGL(1,ℤ/8)—442no—
1157#135—442no—
1158#135—442no—
1159C2×Q16—111no—
1160C2×Q16—111no—
1161C2×Q16—111no—
1162C2×Q16—111no—
1163C2×Q16—111no—
1164C2×Q16—111no—
1165C2×SD16—111no—
1166C2×SD16—111no—
1167C2×SD16—111no—
1168C2×SD16—111no—
1169C2×SD16—111no—
1170C2×SD16—111no—
1171C2×SD16—111no—
1172C2×SD16—111no—
1173C2×SD16—111no—
1174C2×SD16—111no—
1175C2×SD16—111no—
1176C2×SD16—111no—
1177C2×SD16—111no—
1178C2×SD16—111no—
1179C2×SD16—442no—
1180C2×SD16—442no—
1181C2×SD16C22×D1111yescharacteristic
1182C2×SD16C22×D1111yescharacteristic
1183C2×SD16C22×D1111yescharacteristic
1184C2×SD16C22×D1111yescharacteristic
1185C2×SD16C22×D1111yescharacteristic
1186C2×SD16C22×D1111yescharacteristic
1187C2×D8—111no—
1188C2×D8—111no—
1189C2×D8—111no—
1190C2×D8—111no—
1191C2×D8C22×D1111yescharacteristic
1192C2×D8C22×D1111yescharacteristic
1193C2×M16—111no—
1194C2×M16—111no—
1195C22×C8—111no—
1196C22×C8—111no—
1197C4⋊Q8—111no—
1198C4⋊Q8—111no—
1199C4⋊Q8—111no—
1200C4⋊Q8—111no—
1201C4⋊Q8—111no—
1202C4⋊Q8—111no—
1203C4⋊Q8—111no—
1204C4⋊Q8—111no—
1205C4⋊Q8—221no—
1206C4⋊Q8—221no—
1207C4⋊Q8—221no—
1208C4⋊Q8—221no—
1209C4⋊Q8—221no—
1210C4⋊Q8C22×D1111yescharacteristic
1211C4⋊Q8C22×D1111yescharacteristic
1212#127—111no—
1213#127C22×D1111yescharacteristic
1214#126—221no—
1215#126—221no—
1216#126—221no—
1217#126—221no—
1218#125—111no—
1219#125—221no—
1220#125C22×D1111yescharacteristic
1221#124—111no—
1222#124—111no—
1223#124—111no—
1224#124—111no—
1225#124—111no—
1226#124—111no—
1227#124—111no—
1228#124—111no—
1229#124—221no—
1230#124—221no—
1231#124—221no—
1232#124—221no—
1233#124—221no—
1234#124—221no—
1235#124—221no—
1236#124—221no—
1237#124C22×D1111yescharacteristic
1238#124C22×D1111yescharacteristic
1239#123—21no—
1240#123—21no—
1241#123—21no—
1242#123—21no—
1243#123—221no—
1244#123—221no—
1245#123—221no—
1246#123—221no—
1247#123—221no—
1248#123—221no—
1249#123—221no—
1250#123—221no—
1251#123—221no—
1252#123—221no—
1253#123—221no—
1254#123—221no—
1255#123—221no—
1256#123—221no—
1257#123—221no—
1258#123—221no—
1259#123—221no—
1260#123—221no—
1261#123—221no—
1262#123—221no—
1263#123—221no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—111no—
1267C22⋊Q8—111no—
1268C22⋊Q8—221no—
1269C22⋊Q8—221no—
1270C22⋊Q8—221no—
1271C22⋊Q8—221no—
1272C22⋊Q8—221no—
1273C22⋊Q8—221no—
1274C22⋊Q8—221no—
1275C22⋊Q8—221no—
1276C22⋊Q8—221no—
1277C22⋊Q8—221no—
1278C22⋊Q8—221no—
1279C22⋊Q8—221no—
1280C22⋊Q8—221no—
1281C22⋊Q8—221no—
1282C22⋊Q8—221no—
1283C22⋊Q8—221no—
1284C22⋊Q8—221no—
1285C22⋊Q8—221no—
1286#121—21no—
1287#121—21no—
1288#121—111no—
1289#121—111no—
1290#121—111no—
1291#121—111no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121—221no—
1297#121—221no—
1298#121—221no—
1299#121—221no—
1300#121C22×D1111yescharacteristic
1301#121C22×D1111yescharacteristic
1302#120—221no—
1303#120—221no—
1304#120—221no—
1305C4×Q8—111no—
1306C4×Q8—111no—
1307C4×D4—111no—
1308C4×D4—111no—
1309C4×D4—111no—
1310C4×D4—111no—
1311C4×D4—221no—
1312C4×D4—221no—
1313C4×D4—221no—
1314C4×D4—221no—
1315C4×D4—221no—
1316C4×D4—221no—
1317C4×D4—221no—
1318C4×D4—221no—
1319C4×D4—221no—
1320C4×D4—221no—
1321C4×D4C22×D1111yescharacteristic
1322C4×D4C22×D1111yescharacteristic
1323#117—111no—
1324#117—111no—
1325#117—111no—
1326#117—111no—
1327#117—111no—
1328#117—111no—
1329#117—111no—
1330#117—111no—
1331#117—221no—
1332#117—221no—
1333#117—221no—
1334#117C22×D1111yescharacteristic
1335C2×C4⋊C4—111no—
1336C2×C4⋊C4—111no—
1337C2×C4⋊C4—111no—
1338C2×C4⋊C4—221no—
1339C2×C4⋊C4—221no—
1340C2×C4⋊C4—221no—
1341C2×C4⋊C4—221no—
1342C2×C4⋊C4—221no—
1343C2×C22⋊C4—111no—
1344C2×C22⋊C4—111no—
1345C2×C22⋊C4—221no—
1346C2×C22⋊C4—221no—
1347C2×C22⋊C4—221no—
1348C2×C22⋊C4—221no—
1349C2×C22⋊C4—221no—
1350C2×C22⋊C4—221no—
1351C2×C22⋊C4—221no—
1352C2×C42—111no—
1353C2×C42—111no—
1354C4⋊C8—111no—
1355C4⋊C8—111no—
1356C4⋊C8—111no—
1357C4⋊C8—111no—
1358C4⋊C8—111no—
1359C4⋊C8—111no—
1360C4⋊C8C22×D1111yescharacteristic
1361C4⋊C8C22×D1111yescharacteristic
1362#103—111no—
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103—111no—
1368#103—111no—
1369#103—111no—
1370#103—111no—
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103—111no—
1377#103—111no—
1378#103—111no—
1379#103—111no—
1380#103C22×D1111yescharacteristic
1381#103C22×D1111yescharacteristic
1382#103C22×D1111yescharacteristic
1383#103C22×D1111yescharacteristic
1384#103C22×D1111yescharacteristic
1385#103C22×D1111yescharacteristic
1386#102—111no—
1387#102—111no—
1388#102—111no—
1389#102—111no—
1390#102—111no—
1391#102—111no—
1392#102C22×D1111yescharacteristic
1393#102C22×D1111yescharacteristic
1394C22⋊C8—111no—
1395C22⋊C8—111no—
1396C22⋊C8—111no—
1397C22⋊C8—111no—
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8C22×D1111yescharacteristic
1401C22⋊C8C22×D1111yescharacteristic
1402#97—111no—
1403#97—111no—
1404#97—111no—
1405#97C22×D1111yescharacteristic
1406C4×C8—111no—
1407C4×C8—111no—
1408C4×C8—111no—
1409C4×C8C22×D1111yescharacteristic
1410C2×C11—41no—
1411C2×C11—81no—
1412C2×C11—81no—
1413C2×C11—81no—
1414C2×C11C2×#53511yescharacteristic
1415C2×C11C2×#57711yescharacteristic
1416C2×C11#358611yescharacteristic
1417D11—22no—
1418D11—22no—
1419D11—81no—
1420D11—81no—
1421C24—111no—
1422C24—221no—
1423C24—221no—
1424#41—41no—
1425#41—41no—
1426#41—222no—
1427#41—222no—
1428#41—222no—
1429#41—222no—
1430#41—222no—
1431#41—222no—
1432#41—441no—
1433#41—441no—
1434#41—444no—
1435#41—444no—
1436#41—882no—
1437#41—882no—
1438C2×Q8—21no—
1439C2×Q8—41no—
1440C2×Q8—41no—
1441C2×Q8—111no—
1442C2×Q8—111no—
1443C2×Q8—111no—
1444C2×Q8—111no—
1445C2×Q8—221no—
1446C2×Q8—221no—
1447C2×Q8—221no—
1448C2×Q8—221no—
1449C2×Q8—221no—
1450C2×Q8—221no—
1451C2×Q8—222no—
1452C2×Q8—222no—
1453C2×Q8—222no—
1454C2×Q8—222no—
1455C2×Q8—221no—
1456C2×Q8—221no—
1457C2×Q8—441no—
1458C2×Q8—441no—
1459C2×Q8—444no—
1460C2×Q8—441no—
1461C2×Q8—441no—
1462C2×Q8—441no—
1463C2×Q8—441no—
1464C2×Q8—441no—
1465C2×Q8—441no—
1466C2×Q8—444no—
1467C2×Q8—444no—
1468C2×Q8C23×D1111yescharacteristic
1469C2×Q8C23×D1111yescharacteristic
1470C2×Q8C23×D1111yescharacteristic
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—111no—
1477C2×D4—111no—
1478C2×D4—221no—
1479C2×D4—221no—
1480C2×D4—222no—
1481C2×D4—222no—
1482C2×D4—221no—
1483C2×D4—221no—
1484C2×D4—221no—
1485C2×D4—221no—
1486C2×D4—221no—
1487C2×D4—221no—
1488C2×D4—221no—
1489C2×D4—221no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—441no—
1493C2×D4—441no—
1494C2×D4—444no—
1495C2×D4—882no—
1496C2×D4C23×D1111yescharacteristic
1497C2×D4C23×D1111yescharacteristic
1498C2×D4C23×D1111yescharacteristic
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—111no—
1504C22×C4—111no—
1505C22×C4—111no—
1506C22×C4—111no—
1507C22×C4—111no—
1508C22×C4—111no—
1509C22×C4—111no—
1510C22×C4—111no—
1511C22×C4—111no—
1512C22×C4—222no—
1513C22×C4—222no—
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—221no—
1526C22×C4—221no—
1527C22×C4—221no—
1528C22×C4—221no—
1529C22×C4—444no—
1530C22×C4—444no—
1531C22×C4C23×D1111yescharacteristic
1532Q16—441no—
1533Q16—441no—
1534Q16—441no—
1535Q16—441no—
1536Q16—441no—
1537Q16—441no—
1538SD16—41no—
1539SD16—41no—
1540SD16—41no—
1541SD16—41no—
1542SD16—41no—
1543SD16—41no—
1544SD16—441no—
1545SD16—441no—
1546SD16—441no—
1547SD16—441no—
1548SD16—441no—
1549SD16—441no—
1550SD16—441no—
1551SD16—441no—
1552SD16—441no—
1553SD16—441no—
1554SD16—441no—
1555SD16—441no—
1556SD16—441no—
1557SD16—441no—
1558D8—41no—
1559D8—41no—
1560D8—441no—
1561D8—441no—
1562D8—441no—
1563D8—441no—
1564M16—222no—
1565M16—222no—
1566C2×C8—111no—
1567C2×C8—111no—
1568C2×C8—111no—
1569C2×C8—111no—
1570C2×C8—222no—
1571C2×C8—222no—
1572C2×C8C23×D1111yescharacteristic
1573C2×C8C23×D1111yescharacteristic
1574C2×C8C23×D1111yescharacteristic
1575C2×C8C23×D1111yescharacteristic
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—111no—
1583C4⋊C4—111no—
1584C4⋊C4—111no—
1585C4⋊C4—111no—
1586C4⋊C4—111no—
1587C4⋊C4—111no—
1588C4⋊C4—111no—
1589C4⋊C4—111no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4—221no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4—221no—
1608C4⋊C4—221no—
1609C4⋊C4—221no—
1610C4⋊C4—221no—
1611C4⋊C4D4×D1111yescharacteristic
1612C4⋊C4D4×D1111yescharacteristic
1613C4⋊C4C23×D1111yescharacteristic
1614C4⋊C4C23×D1111yescharacteristic
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—111no—
1624C22⋊C4—111no—
1625C22⋊C4—111no—
1626C22⋊C4—111no—
1627C22⋊C4—111no—
1628C22⋊C4—111no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4—221no—
1642C22⋊C4—221no—
1643C22⋊C4—221no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4D4×D1111yescharacteristic
1657C22⋊C4D4×D1111yescharacteristic
1658C42—111no—
1659C42—111no—
1660C42—111no—
1661C42—111no—
1662C42—111no—
1663C42—111no—
1664C42—221no—
1665C42—221no—
1666C42—221no—
1667C42C23×D1111yescharacteristic
1668C42C23×D1111yescharacteristic
1669C11#6081311yescharacteristic, complemented, Sylow
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—111no—
1674C23—111no—
1675C23—222no—
1676C23—222no—
1677C23—221no—
1678C23—221no—
1679C23—441no—
1680C23—442no—
1681C23—442no—
1682C23—442no—
1683C23—442no—
1684C23—881no—
1685C23—881no—
1686C23C2×D4×D1111yescharacteristic
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—42no—
1694Q8—221no—
1695Q8—221no—
1696Q8—221no—
1697Q8—221no—
1698Q8—221no—
1699Q8—221no—
1700Q8—221no—
1701Q8—221no—
1702Q8—442no—
1703Q8—442no—
1704Q8—442no—
1705Q8—442no—
1706Q8—442no—
1707Q8—442no—
1708Q8—881no—
1709Q8—881no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—21no—
1715D4—21no—
1716D4—42no—
1717D4—81no—
1718D4—81no—
1719D4—81no—
1720D4—81no—
1721D4—221no—
1722D4—221no—
1723D4—221no—
1724D4—221no—
1725D4—442no—
1726D4—442no—
1727D4—442no—
1728D4—442no—
1729D4—442no—
1730D4—442no—
1731D4—442no—
1732D4—442no—
1733D4—442no—
1734D4—881no—
1735D4—881no—
1736D4—881no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—42no—
1745C2×C4—42no—
1746C2×C4—81no—
1747C2×C4—81no—
1748C2×C4—111no—
1749C2×C4—112no—
1750C2×C4—112no—
1751C2×C4—111no—
1752C2×C4—111no—
1753C2×C4—111no—
1754C2×C4—111no—
1755C2×C4—111no—
1756C2×C4—222no—
1757C2×C4—222no—
1758C2×C4—222no—
1759C2×C4—222no—
1760C2×C4—222no—
1761C2×C4—221no—
1762C2×C4—221no—
1763C2×C4—221no—
1764C2×C4—221no—
1765C2×C4—221no—
1766C2×C4—221no—
1767C2×C4—221no—
1768C2×C4—221no—
1769C2×C4—441no—
1770C2×C4—441no—
1771C2×C4—442no—
1772C2×C4—442no—
1773C2×C4—442no—
1774C2×C4—442no—
1775C2×C4—442no—
1776C2×C4—442no—
1777C2×C4—442no—
1778C2×C4—442no—
1779C2×C4—442no—
1780C2×C4—442no—
1781C2×C4—881no—
1782C2×C4—881no—
1783C2×C4—881no—
1784C2×C4—881no—
1785C2×C4—881no—
1786C2×C4C2×D4×D1111yescharacteristic
1787C2×C4C2×D4×D1111yescharacteristic
1788C2×C4C2×D4×D1111yescharacteristic
1789C2×C4C2×D4×D1111yescharacteristic
1790C2×C4C2×D4×D1111yescharacteristic
1791C2×C4C24×D1111yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—221no—
1797C8—221no—
1798C8—221no—
1799C8—221no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—112no—
1813C22—112no—
1814C22—221no—
1815C22—221no—
1816C22—221no—
1817C22—221no—
1818C22—444no—
1819C22—441no—
1820C22—441no—
1821C22—441no—
1822C22—441no—
1823C22—441no—
1824C22—441no—
1825C22—884no—
1826C22—1762no—
1827C22C22×D4×D1111yescharacteristic
1828C4—21no—
1829C4—21no—
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—112no—
1839C4—221no—
1840C4—221no—
1841C4—221no—
1842C4—221no—
1843C4—221no—
1844C4—441no—
1845C4—441no—
1846C4—441no—
1847C4—441no—
1848C4—441no—
1849C4—441no—
1850C4D11×H(5,𝔽2)11yescharacteristic
1851C4D11×H(5,𝔽2)11yescharacteristic
1852C2—41no—
1853C2—81no—
1854C2—81no—
1855C2—81no—
1856C2—222no—
1857C2—222no—
1858C2—881no—
1859C2—881no—
1860C2D11×#53511yescharacteristic
1861C2D11×#57711yescharacteristic
1862C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3221C2
socleC22×C11C23×D4
hypercenter#3221D11
hypocenterC11#60813
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3221

Complements

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

NH ≅ G/Ntype
1. #13082343C2semidirect
2. D11×#536C2semidirect
3. #13079727C2semidirect
4. #13079725C2semidirect
5. #13079723C2semidirect
6. #13079721C2semidirect
7. #13079675C2semidirect
8. #13079673C2semidirect
9. #13079671C2semidirect
10. #13079644C2semidirect
11. #13079642C2semidirect
12. #13079601C2semidirect
13. #13079598C2semidirect
14. #13079582C2semidirect
15. #13079579C2semidirect
16. #13079540C2semidirect
17. #13079537C2semidirect
18. #13079089C2semidirect
19. #13079085C2semidirect
20. #13078982C2semidirect
21. #13078980C2semidirect
22. #13078167C2semidirect
23. #13078161C2semidirect
24. #13078126C2semidirect
25. #13078123C2semidirect
26. #13077865C2semidirect
27. #13077847C2semidirect
28. #13077831C2semidirect
29. D11×#448C2semidirect
30. #13077272C2semidirect
31. C11×#3221C2semidirect
34. C11×#540C22semidirect
35. C11×#536C22semidirect
36. #10623356C22semidirect
37. #10623347C22semidirect
39. C2×#66968C22semidirect
40. C2×#66968C22semidirect
42. C2×SD16×D11C22semidirect
43. C2×SD16×D11C22semidirect
48. D11×C4⋊Q8C22semidirect
49. D11×C4⋊Q8C22semidirect
51. #10623246C22semidirect
53. #10623220C22semidirect
56. D11×#124C22semidirect
57. D11×#124C22semidirect
70. #10623150C22semidirect
76. #10623134C22semidirect
80. #10623077C22semidirect
81. #10623076C22semidirect
82. #10623065C22semidirect
83. #10623057C22semidirect
85. C11×#496C22semidirect
86. C11×#492C22semidirect
87. C11×#491C22semidirect
88. C11×#488C22semidirect
89. C11×#463C22semidirect
90. C11×#463C22semidirect
91. C11×#461C22semidirect
92. C11×#461C22semidirect
94. C11×#449C22semidirect
95. C11×#448C22semidirect
96. C11×#448C22semidirect
97. C11×#433C22semidirect
98. #10622852C22semidirect
100. #10622841C22semidirect
101. #10622840C22semidirect
102. #10622789C22semidirect
103. #10622788C22semidirect
104. #10622788C22semidirect
108. #10622783C22semidirect
109. #10622783C22semidirect
110. #10622783C22semidirect
111. #10622781C22semidirect
112. #10622780C22semidirect
113. #10622780C22semidirect
114. #10622778C22semidirect
115. #10622778C22semidirect
116. #10622775C22semidirect
117. #10622775C22semidirect
118. #10622775C22semidirect
119. #10622775C22semidirect
121. #10622769C22semidirect
122. #10622768C22semidirect
123. #10622767C22semidirect
124. #10622766C22semidirect
125. #10622766C22semidirect
126. #10622703C22semidirect
127. #10622699C22semidirect
128. #10622696C22semidirect
129. #10622694C22semidirect
130. #10622689C22semidirect
131. #10622687C22semidirect
132. #10622682C22semidirect
133. #10622681C22semidirect
134. #10622672C22semidirect
135. #10622670C22semidirect
136. #10622668C22semidirect
137. #10622667C22semidirect
138. #10622653C22semidirect
139. #10622653C22semidirect
141. #10622650C22semidirect
142. #10622632C22semidirect
143. #10622632C22semidirect
144. #10622629C22semidirect
145. #10622629C22semidirect
146. #10622613C22semidirect
147. #10622462C22semidirect
148. #10622458C22semidirect
149. #10622457C22semidirect
150. #10622454C22semidirect
151. #10622452C22semidirect
152. #10622452C22semidirect
153. #10622448C22semidirect
154. #10622446C22semidirect
155. #10622432C22semidirect
156. #10622431C22semidirect
157. #10622431C22semidirect
158. #10622421C22semidirect
159. #10622421C22semidirect
160. #10622421C22semidirect
166. #10622415C22semidirect
167. #10622415C22semidirect
168. D11×#103C22semidirect
169. D11×#103C22semidirect
170. #10622413C22semidirect
171. #10622411C22semidirect
172. #10622410C22semidirect
173. #10622410C22semidirect
174. #10622408C22semidirect
175. #10622406C22semidirect
176. #10622406C22semidirect
177. #10622405C22semidirect
178. #10622405C22semidirect
179. #10622400C22semidirect
180. #10622389C22semidirect
184. #10622381C22semidirect
185. #10622380C22semidirect
186. #10622378C22semidirect
187. #10622352C22semidirect
188. #10622351C22semidirect
190. #10622346C22semidirect
193. #10622333C22semidirect
194. #10622333C22semidirect
195. #10622328C22semidirect
196. #10622327C22semidirect
197. #10622321C22semidirect
198. #10622318C22semidirect
199. #10622309C22semidirect
200. #10622302C22semidirect
201. #10622298C22semidirect
202. #10622294C22semidirect
748. #3221D11semidirect
922. #540C2×D11semidirect
934. #536C2×D11semidirect
960. #496C2×D11semidirect
968. #492C2×D11semidirect
972. #491C2×D11semidirect
980. #488C2×D11semidirect
999. #463C2×D11semidirect
1000. #463C2×D11semidirect
1015. #461C2×D11semidirect
1016. #461C2×D11semidirect
1030. #449C2×D11semidirect
1044. #448C2×D11semidirect
1045. #448C2×D11semidirect
1052. #433C2×D11semidirect
1669. C11#60813semidirect

Maximal subgroups

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

subgroupindex
#130823432
D11×#5362
#130797272
#130797252
#130797232
#130797212
#130796752
#130796732
#130796712
#130796442
#130796422
#130796012
#130795982
#130795822
#130795792
#130795402
#130795372
#130790892
#130790852
#130789822
#130789802
#130781672
#130781612
#130781262
#130781232
#130778652
#130778472
#130778312
D11×#4482
#130772722
C11×#32212
#6081311