Finite Group Databasebeta

← #15629601

Subgroups — #15629601

Order 2816.

2672 conjugacy classes of subgroups.

The subgroup lattice has 2002 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623302C211yesmaximal, characteristic, complemented
2C2×D11×#137C211yesmaximal, characteristic, complemented
3#13082290C211yesmaximal, characteristic, complemented
4#13082262C211yesmaximal, characteristic, complemented
5#13080365C211yesmaximal, characteristic, complemented
6#13080363C211yesmaximal, characteristic, complemented
7#13080329C211yesmaximal, characteristic, complemented
8#13080317C211yesmaximal, characteristic, complemented
9#13080270C211yesmaximal, characteristic, complemented
10#13080269C211yesmaximal, characteristic, complemented
11#13080258C211yesmaximal, characteristic, complemented
12#13080256C211yesmaximal, characteristic, complemented
13#13080191C211yesmaximal, characteristic, complemented
14#13080189C211yesmaximal, characteristic, complemented
15#13080185C211yesmaximal, characteristic, complemented
16#13080184C211yesmaximal, characteristic, complemented
17#13080169C211yesmaximal, characteristic, complemented
18#13080128C211yesmaximal, characteristic, complemented
19#13080124C211yesmaximal, characteristic, complemented
20#13079108C211yesmaximal, characteristic, complemented
21#13078306C211yesmaximal, characteristic, complemented
22#13078241C211yesmaximal, characteristic, complemented
23#13078167C211yesmaximal, characteristic, complemented
24#13078141C211yesmaximal, characteristic, complemented
25#13077935C211yesmaximal, characteristic, complemented
26#13077908C211yesmaximal, characteristic, complemented
27#13077831C211yesmaximal, characteristic, complemented
28D11×#451C211yesmaximal, characteristic, complemented
29#13077456C211yesmaximal, characteristic, complemented
30#13077339C211yesmaximal, characteristic, complemented
31C11×#3269C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic
33C2×#67043C2211yescharacteristic, complemented
34C2×#41×D11C2211yescharacteristic
35C22×Q8×D11C2211yescharacteristic
36C2×C11×#137C2211yescharacteristic
37C2×C11×#135C2211yescharacteristic, complemented
38C11×#548C2211yescharacteristic, complemented
39C11×#547C2211yescharacteristic
40#10623362C2211yescharacteristic
41#10623360C2211yescharacteristic
42#10623355C2211yescharacteristic
43C2×#67004C2211yescharacteristic
44C2×#67004C2211yescharacteristic, complemented
45C2×#67004C2211yescharacteristic, complemented
46Q8×C22⋊D11C2211yescharacteristic, complemented
47C2×#66995C2211yescharacteristic
48D11×#137—28no—
49#10623302—28no—
50C2×#66971C2211yescharacteristic
51C2×#66971C2211yescharacteristic
52C2×Q16×D11C2211yescharacteristic
53C2×Q16×D11C2211yescharacteristic
54C2×Q16×D11C2211yescharacteristic, complemented
55C2×Q16×D11C2211yescharacteristic, complemented
56C2×Q16×D11C2211yescharacteristic, complemented
57C2×#66969C2211yescharacteristic
58C2×#66968C2211yescharacteristic
59C2×#66968C2211yescharacteristic
60C2×#66968C2211yescharacteristic, complemented
61C2×#66968C2211yescharacteristic, complemented
62C2×#66968C2211yescharacteristic, complemented
63C2×SD16×D11C2211yescharacteristic
64C2×SD16×D11C2211yescharacteristic
65C2×#66965C2211yescharacteristic
66C2×#66965C2211yescharacteristic, complemented
67C2×#66962C2211yescharacteristic
68C2×M16×D11C2211yescharacteristic
69C22×Dic44C2211yescharacteristic, complemented
70C2×#66954C2211yescharacteristic, complemented
71#10623258C2211yescharacteristic
72#10623255C2211yescharacteristic
73#10623208—21no—
74#10623208C2211yescharacteristic
75#10623206—21no—
76#10623206C2211yescharacteristic, complemented
77#10623187—21no—
78#10623186—21no—
79#10623185—21no—
80#10623179—21no—
81#10623164C2211yescharacteristic
82#10623163—21no—
83#10623163C2211yescharacteristic
84#10623163C2211yescharacteristic
85#10623160C2211yescharacteristic
86#10623159—21no—
87#10623159C2211yescharacteristic, complemented
88D11×C22⋊Q8C2211yescharacteristic
89#10623141—21no—
90#10623137—21no—
91#10623137C2211yescharacteristic
92#10623129—21no—
93#10623129C2211yescharacteristic, complemented
94#10623128—21no—
95Q8×D44C2211yescharacteristic
96#10623103C2211yescharacteristic, complemented
97#10623085C2211yescharacteristic
98#10623083C2211yescharacteristic
99#10623078—21no—
100#10623078C2211yescharacteristic
101#10623077C2211yescharacteristic
102D4×Dic22—21no—
103D4×Dic22C2211yescharacteristic, complemented
104C2×#66949—21no—
105#10623038—21no—
106C11×#497C2211yescharacteristic, complemented
107C11×#468C2211yescharacteristic, complemented
108C11×#467C2211yescharacteristic, complemented
109C11×#463C2211yescharacteristic, complemented
110C11×#462C2211yescharacteristic, complemented
111C11×#452C2211yescharacteristic, complemented
112C11×#452C2211yescharacteristic, complemented
113C11×#451C2211yescharacteristic, complemented
114C11×#449C2211yescharacteristic
115C11×#440C2211yescharacteristic, complemented
116C11×#435C2211yescharacteristic, complemented
117#10622852C2211yescharacteristic
118#10622852C2211yescharacteristic, complemented
119#10622851C2211yescharacteristic, complemented
120#10622841C2211yescharacteristic, complemented
121#10622803C2211yescharacteristic, complemented
122#10622802C2211yescharacteristic, complemented
123#10622799C2211yescharacteristic
124#10622799C2211yescharacteristic
125#10622799C2211yescharacteristic, complemented
126#10622799C2211yescharacteristic, complemented
127#10622798C2211yescharacteristic, complemented
128#10622795C2211yescharacteristic, complemented
129#10622794C2211yescharacteristic, complemented
130#10622786C2211yescharacteristic, complemented
131#10622786C2211yescharacteristic, complemented
132#10622784C2211yescharacteristic
133#10622783C2211yescharacteristic
134#10622781C2211yescharacteristic, complemented
135#10622780C2211yescharacteristic, complemented
136#10622775C2211yescharacteristic, complemented
137SD16×Dic11C2211yescharacteristic, complemented
138#10622769C2211yescharacteristic
139#10622766C2211yescharacteristic, complemented
140#10622750C2211yescharacteristic, complemented
141#10622741C2211yescharacteristic, complemented
142#10622727C2211yescharacteristic, complemented
143C8×C22⋊D11C2211yescharacteristic
144#10622705C2211yescharacteristic, complemented
145#10622703C2211yescharacteristic, complemented
146#10622672C2211yescharacteristic, complemented
147#10622667C2211yescharacteristic, complemented
148#10622665C2211yescharacteristic, complemented
149#10622665C2211yescharacteristic, complemented
150#10622663C2211yescharacteristic, complemented
151#10622663C2211yescharacteristic, complemented
152#10622663C2211yescharacteristic, complemented
153#10622662C2211yescharacteristic, complemented
154#10622655C2211yescharacteristic, complemented
155#10622650C2211yescharacteristic
156C4×#4326C2211yescharacteristic, complemented
157#10622641C2211yescharacteristic, complemented
158#10622632C2211yescharacteristic, complemented
159C4×#4324C2211yescharacteristic, complemented
160#10622625C2211yescharacteristic, complemented
161#10622500C2211yescharacteristic
162#10622499C2211yescharacteristic, complemented
163#10622494C2211yescharacteristic, complemented
164#10622486C2211yescharacteristic, complemented
165#10622462C2211yescharacteristic, complemented
166#10622458C2211yescharacteristic, complemented
167#10622452C2211yescharacteristic, complemented
168#10622447C2211yescharacteristic
169#10622426C2211yescharacteristic
170#10622426C2211yescharacteristic, complemented
171#10622421C2211yescharacteristic
172#10622421C2211yescharacteristic
173#10622421C2211yescharacteristic
174#10622421C2211yescharacteristic, complemented
175#10622420C2211yescharacteristic, complemented
176#10622419C2211yescharacteristic, complemented
177#10622417C2211yescharacteristic
178#10622415C2211yescharacteristic, complemented
179D11×#103C2211yescharacteristic, complemented
180D11×#103C2211yescharacteristic, complemented
181#10622411C2211yescharacteristic, complemented
182#10622406C2211yescharacteristic, complemented
183#10622406C2211yescharacteristic, complemented
184#10622402C2211yescharacteristic, complemented
185#10622396C2211yescharacteristic, complemented
186#10622394C2211yescharacteristic, complemented
187#10622391C2211yescharacteristic
188#10622389C2211yescharacteristic
189#10622385C2211yescharacteristic
190#10622384C2211yescharacteristic, complemented
191#10622380C2211yescharacteristic, complemented
192#10622370C2211yescharacteristic, complemented
193#10622352C2211yescharacteristic, complemented
194#10622352C2211yescharacteristic, complemented
195#10622351C2211yescharacteristic, complemented
196#10622346C2211yescharacteristic
197#10622341C2211yescharacteristic
198#10622341C2211yescharacteristic, complemented
199#10622340C2211yescharacteristic, complemented
200D11×C22⋊C8C2211yescharacteristic
201#10622329C2211yescharacteristic, complemented
202#10622328C2211yescharacteristic, complemented
203#10622321C2211yescharacteristic, complemented
204#10622319C2211yescharacteristic
205C2×C11×#41C2311yescharacteristic
206C2×C11×#41C2311yescharacteristic
207C2×C11×#41C2311yescharacteristic
208C22×Q8×C11C2311yescharacteristic
209#67043—24no—
210#67043—24no—
211#67043—42no—
212#67043—42no—
213#41×D11—24no—
214#41×D11—42no—
215C2×#4343C2311yescharacteristic
216C2×Q8×D11—21no—
217C2×Q8×D11—21no—
218C2×Q8×D11—24no—
219C2×Q8×D11—42no—
220C2×Q8×D11C2311yescharacteristic
221C2×Q8×D11C2311yescharacteristic
222C2×Q8×D11C2311yescharacteristic
223C2×Q8×D11C2311yescharacteristic
224C2×Q8×D11C2311yescharacteristic
225C2×Q8×D11C2311yescharacteristic
226C2×Q8×D11C2311yescharacteristic
227C2×Q8×D11C2311yescharacteristic
228C2×#4341—21no—
229C2×#4341—21no—
230C2×#4341—21no—
231C2×#4341—21no—
232C2×#4341—21no—
233C2×#4341C2311yescharacteristic
234C2×#4341C2311yescharacteristic
235C2×#4341C2311yescharacteristic
236C2×#4341C2311yescharacteristic
237C2×D4×D11—21no—
238C2×D4×D11C2311yescharacteristic
239C2×#4339—21no—
240C2×#4339—21no—
241C2×#4339—21no—
242C2×#4339C2311yescharacteristic
243C2×#4339C2311yescharacteristic
244C22×C4×D11—21no—
245C22×C4×D11—21no—
246C22×C4×D11C2311yescharacteristic
247C22×Dic22—21no—
248C22×Dic22—21no—
249C22×Dic22—21no—
250C22×Dic22C2311yescharacteristic
251C22×Dic22C2311yescharacteristic
252C22×Dic22C2311yescharacteristic
253C11×#137—24no—
254C11×#135—24no—
255C2×C11×Q16C2311yescharacteristic
256C2×C11×Q16C2311yescharacteristic
257C2×C11×Q16C2311yescharacteristic
258C2×C11×Q16C2311yescharacteristic
259C2×C11×SD16C2311yescharacteristic
260C2×C11×SD16C2311yescharacteristic
261C2×C11×SD16C2311yescharacteristic
262C2×C11×SD16C2311yescharacteristic
263C2×C11×D8C2311yescharacteristic
264C2×C11×M16C2311yescharacteristic
265C22×C8×C11C2311yescharacteristic
266C11×C4⋊Q8C2311yescharacteristic
267C11×#124—21no—
268C11×#124C2311yescharacteristic
269C11×#123—21no—
270C11×#123—21no—
271C11×C22⋊Q8—21no—
272C11×C22⋊Q8C2311yescharacteristic
273C11×C22⋊Q8C2311yescharacteristic
274C11×C22⋊Q8C2311yescharacteristic
275C11×#121—21no—
276C11×#121—21no—
277C11×#121C2311yescharacteristic
278C4×Q8×C11C2311yescharacteristic
279C4×D4×C11—21no—
280C4×D4×C11C2311yescharacteristic
281C4×D4×C11C2311yescharacteristic
282C2×C11×C4⋊C4—21no—
283#67004—24no—
284#67004—24no—
285#67004—24no—
286#67000C2311yescharacteristic
287#66999—21no—
288#66999C2311yescharacteristic
289#66999C2311yescharacteristic
290#66999C2311yescharacteristic
291Q8×Dic11C2311yescharacteristic
292#66997—21no—
293#66997C2311yescharacteristic
294#66997C2311yescharacteristic
295C2×#4326C2311yescharacteristic
296C2×#4326C2311yescharacteristic
297C2×#4326C2311yescharacteristic
298C2×#4326C2311yescharacteristic
299C2×#4326C2311yescharacteristic
300C2×#4326C2311yescharacteristic
301C2×#4326C2311yescharacteristic
302C2×#4326C2311yescharacteristic
303C2×#4326C2311yescharacteristic
304C2×#4326C2311yescharacteristic
305#66995—24no—
306C2×#4325C2311yescharacteristic
307C2×#4325C2311yescharacteristic
308#66992—21no—
309#66992—21no—
310#66992—21no—
311#66992—21no—
312#66992D411yescharacteristic
313#66991—21no—
314#66991C2311yescharacteristic
315#66990—21no—
316#66990—21no—
317#66990D411yescharacteristic
318#66989—21no—
319#66989C2311yescharacteristic
320#66988—21no—
321D4×Dic11—21no—
322D4×Dic11—21no—
323D4×Dic11—21no—
324D4×Dic11C2311yescharacteristic
325C2×#4324C2311yescharacteristic
326C2×#4324C2311yescharacteristic
327C2×#4324C2311yescharacteristic
328C2×#4324C2311yescharacteristic
329C2×#4324C2311yescharacteristic
330C2×#4323C2311yescharacteristic
331#66983—21no—
332#66983C2311yescharacteristic
333#66982—21no—
334#66982—21no—
335C4×C22⋊D11—21no—
336C4×C22⋊D11—21no—
337C4×C22⋊D11—21no—
338C4×C22⋊D11C2311yescharacteristic
339C4×C22⋊D11C2311yescharacteristic
340C2×(C2×D11)⋊C4—21no—
341C2×(C2×D11)⋊C4—21no—
342#66977—21no—
343#66977—21no—
344#66977C2311yescharacteristic
345#66977C2311yescharacteristic
346#66977C2311yescharacteristic
347C2×Dic11⋊C4—21no—
348C2×Dic11⋊C4—21no—
349C2×#4318C2311yescharacteristic
350C2×#4318C2311yescharacteristic
351#66971—24no—
352#66971—24no—
353Q16×D11—24no—
354Q16×D11—24no—
355Q16×D11—24no—
356Q16×D11—24no—
357Q16×D11—42no—
358#66969—42no—
359#66968—24no—
360#66968—24no—
361#66968—24no—
362#66968—24no—
363#66968D418yescomplemented
364SD16×D11—24no—
365SD16×D11—24no—
366#66965—24no—
367#66965—24no—
368#66962—24no—
369M16×D11—24no—
370C2×Dic44—24no—
371C2×Dic44C2311yescharacteristic
372C2×Dic44C2311yescharacteristic
373C2×Dic44C2311yescharacteristic
374C2×Dic44C2311yescharacteristic
375C2×Dic44C2311yescharacteristic
376C2×Dic44C2311yescharacteristic
377C2×#4314C2311yescharacteristic
378C2×#4314C2311yescharacteristic
379C2×#4314C2311yescharacteristic
380#66954—24no—
381C2×#4313C2311yescharacteristic
382C2×#4313C2311yescharacteristic
383C2×#4313C2311yescharacteristic
384C2×C8×D11C2311yescharacteristic
385C2×C8×D11C2311yescharacteristic
386C2×C8×D11C2311yescharacteristic
387C2×C8×D11C2311yescharacteristic
388C2×C8×D11C2311yescharacteristic
389#66950—21no—
390#66950—21no—
391#66950C2311yescharacteristic
392#66950C2311yescharacteristic
393#66950C2311yescharacteristic
394#66949—21no—
395#66949—21no—
396#66949—21no—
397#66949—21no—
398#66949—21no—
399#66949—21no—
400#66949—21no—
401#66949—21no—
402#66949—21no—
403#66949—21no—
404#66949D411yescharacteristic
405#66948—21no—
406#66948C2311yescharacteristic
407#66947—21no—
408#66947—21no—
409#66947—21no—
410#66947D411yescharacteristic
411#66946—21no—
412#66946—21no—
413#66945—21no—
414#66945C2311yescharacteristic
415C4⋊C4×D11—21no—
416C4⋊C4×D11C2311yescharacteristic
417#66941—21no—
418#66941—21no—
419#66941—21no—
420#66941—21no—
421#66941—21no—
422#66940—21no—
423#66940C2311yescharacteristic
424#66940C2311yescharacteristic
425#66939—21no—
426#66938—21no—
427#66938—21no—
428#66938—21no—
429#66938—21no—
430#66938—21no—
431#66937—21no—
432#66937—21no—
433#66937—21no—
434#66937—21no—
435#66937D411yescharacteristic
436#66936—21no—
437#66936—21no—
438#66936—21no—
439#66936—21no—
440#66936D411yescharacteristic
441#66935—21no—
442#66935D411yescharacteristic
443(C22⋊D11)⋊C4—21no—
444(C22⋊D11)⋊C4—21no—
445(C22⋊D11)⋊C4—21no—
446(C22⋊D11)⋊C4—21no—
447(C22⋊D11)⋊C4—21no—
448(C22⋊D11)⋊C4—21no—
449C22⋊C4×D11—21no—
450#66931—21no—
451#66931—21no—
452#66931—21no—
453#66931—21no—
454#66931—21no—
455#66931—21no—
456#66931—21no—
457#66931—21no—
458#66931—21no—
459#66931D411yescharacteristic
460#66930—21no—
461#66928C2311yescharacteristic
462C4×D44—21no—
463C4×D44C2311yescharacteristic
464#66925—21no—
465#66925C2311yescharacteristic
466#66922—21no—
467#66922C2311yescharacteristic
468C4×Dic22—21no—
469C4×Dic22C2311yescharacteristic
470C4×Dic22C2311yescharacteristic
471C11×#107C2311yescharacteristic
472C11×C4⋊C8C2311yescharacteristic
473C11×#103C2311yescharacteristic
474C11×#103C2311yescharacteristic
475C11×#103C2311yescharacteristic
476C11×#103C2311yescharacteristic
477C11×#102C2311yescharacteristic
478C11×#102C2311yescharacteristic
479C11×C22⋊C8C2311yescharacteristic
480C11×C22⋊C8C2311yescharacteristic
481C11×#97C2311yescharacteristic
482#66899C2311yescharacteristic
483#66899C2311yescharacteristic
484#66899C2311yescharacteristic
485#66899C2311yescharacteristic
486#66896C2311yescharacteristic
487#66896C2311yescharacteristic
488C22⋊(C11⋊C8)C2311yescharacteristic
489C22⋊(C11⋊C8)C2311yescharacteristic
490#66885C2311yescharacteristic
491(C2×D11)⋊C8C2311yescharacteristic
492(C2×D11)⋊C8C2311yescharacteristic
493(C2×D11)⋊C8C2311yescharacteristic
494(C2×D11)⋊C8C2311yescharacteristic
495#66881C2311yescharacteristic
496#66880C2311yescharacteristic
497#66880C2311yescharacteristic
498#66880C2311yescharacteristic
499#66880C2311yescharacteristic
500#66880C2311yescharacteristic
501#66879C2311yescharacteristic
502Dic11⋊C8C2311yescharacteristic
503Dic11⋊C8C2311yescharacteristic
504C8×Dic11C2311yescharacteristic
505#66874C2311yescharacteristic
506#66874C2311yescharacteristic
507#66874C2311yescharacteristic
508#66874C2311yescharacteristic
509#66874C2311yescharacteristic
510#66873C2311yescharacteristic
511#66872C2311yescharacteristic
512#66871C2311yescharacteristic
513C4⋊(C11⋊C8)C2311yescharacteristic
514C4×C11⋊C8C2311yescharacteristic
515#61076—111nomaximal, Sylow
516C23×D11—21no—
517C23×D11C2×D411yescharacteristic
518C11×#41—22no—
519C11×#41—22no—
520C11×#41—22no—
521C11×#41—41no—
522C11×#41—41no—
523C11×#41—41no—
524C2×Q8×C11—21no—
525C2×Q8×C11—22no—
526C2×Q8×C11—41no—
527C2×Q8×C11C2411yescharacteristic
528C2×Q8×C11C2411yescharacteristic
529C2×Q8×C11C2411yescharacteristic
530C2×Q8×C11C2411yescharacteristic
531C2×D4×C11—21no—
532C2×D4×C11—21no—
533C2×D4×C11—21no—
534C2×D4×C11—21no—
535C2×D4×C11C2×D411yescharacteristic
536C2×D4×C11C2411yescharacteristic
537C2×D4×C11C2411yescharacteristic
538C22×C4×C11—21no—
539C22×C4×C11—21no—
540C22×C4×C11—21no—
541C22×C4×C11—21no—
542C22×C4×C11—21no—
543C22×C4×C11C2411yescharacteristic
544C22×C4×C11C2411yescharacteristic
545C2×C22⋊D11—21no—
546C2×C22⋊D11—21no—
547C2×C22⋊D11—21no—
548C2×C22⋊D11—21no—
549C2×C22⋊D11—21no—
550C2×C22⋊D11—21no—
551C2×C22⋊D11—21no—
552C2×C22⋊D11—21no—
553C2×C22⋊D11C2×D411yescharacteristic
554C2×C22⋊D11C2×D411yescharacteristic
555C2×C22⋊D11C2×D411yescharacteristic
556C2×C22⋊D11C2×D411yescharacteristic
557C22×Dic11—21no—
558C22×Dic11—21no—
559C22×Dic11—21no—
560C22×Dic11—21no—
561C22×Dic11—21no—
562C22×Dic11—21no—
563C22×Dic11—21no—
564C22×Dic11—21no—
565C22×Dic11C2×D411yescharacteristic
566#4343—22no—
567#4343—22no—
568Q8×D11—22no—
569Q8×D11—22no—
570Q8×D11—22no—
571Q8×D11—22no—
572Q8×D11—22no—
573Q8×D11—22no—
574Q8×D11—22no—
575Q8×D11—22no—
576Q8×D11—22no—
577Q8×D11—22no—
578Q8×D11—41no—
579Q8×D11—41no—
580Q8×D11—41no—
581Q8×D11—41no—
582Q8×D11—41no—
583Q8×D11—44no—
584Q8×D11—44no—
585Q8×D11C2×D414yes—
586#4341—22no—
587#4341—22no—
588#4341—22no—
589#4341—22no—
590#4341—22no—
591#4341—41no—
592#4341—41no—
593#4341—44no—
594#4341—44no—
595#4341—44no—
596#4341—44no—
597#4341—44no—
598#4341C2×D414yes—
599D4×D11—22no—
600D4×D11—41no—
601D4×D11—44no—
602#4339—22no—
603#4339—22no—
604#4339—22no—
605#4339—41no—
606#4339—44no—
607#4339—44no—
608#4339—44no—
609C2×D44—21no—
610C2×D44—21no—
611C2×D44C2×D411yescharacteristic
612C2×D44C2×D411yescharacteristic
613C2×D44C2411yescharacteristic
614C2×C4×D11—22no—
615C2×C4×D11—22no—
616C2×C4×D11—21no—
617C2×C4×D11—21no—
618C2×C4×D11—21no—
619C2×C4×D11—21no—
620C2×C4×D11—21no—
621C2×C4×D11—21no—
622C2×C4×D11—21no—
623C2×C4×D11—21no—
624C2×C4×D11—21no—
625C2×C4×D11—21no—
626C2×C4×D11—21no—
627C2×C4×D11—44no—
628C2×C4×D11—44no—
629C2×C4×D11C2×D411yescharacteristic
630C2×C4×D11C2×D411yescharacteristic
631C2×C4×D11C2411yescharacteristic
632C2×C4×D11C2411yescharacteristic
633C2×C4×D11C2411yescharacteristic
634C2×Dic22—21no—
635C2×Dic22—22no—
636C2×Dic22—22no—
637C2×Dic22—22no—
638C2×Dic22—21no—
639C2×Dic22—21no—
640C2×Dic22—21no—
641C2×Dic22—21no—
642C2×Dic22—21no—
643C2×Dic22—21no—
644C2×Dic22—21no—
645C2×Dic22—21no—
646C2×Dic22—21no—
647C2×Dic22—21no—
648C2×Dic22—41no—
649C2×Dic22—41no—
650C2×Dic22—41no—
651C2×Dic22—44no—
652C2×Dic22—44no—
653C2×Dic22—44no—
654C2×Dic22C2×D411yescharacteristic
655C2×Dic22C2411yescharacteristic
656C2×Dic22C2411yescharacteristic
657C2×Dic22C2411yescharacteristic
658C2×Dic22C2411yescharacteristic
659C2×Dic22C2411yescharacteristic
660C11×Q16—22no—
661C11×Q16—22no—
662C11×Q16—22no—
663C11×Q16—41no—
664C11×SD16—22no—
665C11×SD16—22no—
666C11×SD16—41no—
667C11×SD16C2×D414yes—
668C11×D8—22no—
669C11×M16—22no—
670C2×C8×C11—22no—
671C2×C8×C11C2411yescharacteristic
672C2×C8×C11C2411yescharacteristic
673C2×C8×C11C2411yescharacteristic
674C2×C8×C11C2411yescharacteristic
675C11×C4⋊C4—21no—
676C11×C4⋊C4—21no—
677C11×C4⋊C4—21no—
678C11×C4⋊C4—21no—
679C11×C4⋊C4—21no—
680C11×C4⋊C4—21no—
681C11×C4⋊C4C2×D411yescharacteristic
682C11×C4⋊C4C2411yescharacteristic
683C11×C4⋊C4C2411yescharacteristic
684C11×C22⋊C4—21no—
685C11×C22⋊C4—21no—
686C11×C22⋊C4—21no—
687C11×C22⋊C4—21no—
688C11×C22⋊C4—21no—
689C11×C22⋊C4—21no—
690C11×C22⋊C4—21no—
691C11×C22⋊C4C2×D411yescharacteristic
692C11×C22⋊C4C2×D411yescharacteristic
693C42×C11—21no—
694C42×C11C2411yescharacteristic
695C22⋊Dic11—21no—
696C22⋊Dic11—21no—
697C22⋊Dic11—21no—
698C22⋊Dic11—21no—
699C22⋊Dic11—21no—
700C22⋊Dic11—21no—
701C22⋊Dic11—21no—
702C22⋊Dic11C2×D411yescharacteristic
703C22⋊Dic11C2×D411yescharacteristic
704#4326—22no—
705#4326—22no—
706#4326—22no—
707#4326—22no—
708#4326—22no—
709#4326—22no—
710#4326—41no—
711#4326—41no—
712#4326—41no—
713#4326C2×D414yes—
714#4325—22no—
715#4325—22no—
716#4324—22no—
717#4324—22no—
718#4324—22no—
719#4324—22no—
720#4324C2×D414yes—
721#4323—41no—
722(C2×D11)⋊C4—21no—
723(C2×D11)⋊C4—21no—
724(C2×D11)⋊C4—21no—
725(C2×D11)⋊C4—21no—
726(C2×D11)⋊C4—21no—
727(C2×D11)⋊C4—21no—
728(C2×D11)⋊C4—21no—
729(C2×D11)⋊C4—21no—
730(C2×D11)⋊C4—21no—
731(C2×D11)⋊C4—21no—
732(C2×D11)⋊C4—21no—
733(C2×D11)⋊C4—21no—
734(C2×D11)⋊C4—21no—
735(C2×D11)⋊C4C2×D411yescharacteristic
736(C2×D11)⋊C4C2×D411yescharacteristic
737(C2×D11)⋊C4C2×D411yescharacteristic
738(C2×D11)⋊C4C2×D411yescharacteristic
739(C2×D11)⋊C4C2×D411yescharacteristic
740(C2×D11)⋊C4C2×D411yescharacteristic
741C4⋊Dic11—21no—
742C4⋊Dic11—21no—
743C4⋊Dic11—21no—
744C4⋊Dic11—21no—
745C4⋊Dic11—21no—
746C4⋊Dic11—21no—
747C4⋊Dic11C2×D411yescharacteristic
748C4⋊Dic11C2411yescharacteristic
749C4⋊Dic11C2411yescharacteristic
750Dic11⋊C4—21no—
751Dic11⋊C4—21no—
752Dic11⋊C4—21no—
753Dic11⋊C4—21no—
754Dic11⋊C4—21no—
755Dic11⋊C4—21no—
756Dic11⋊C4—21no—
757Dic11⋊C4—21no—
758Dic11⋊C4—21no—
759Dic11⋊C4—21no—
760Dic11⋊C4—21no—
761Dic11⋊C4—21no—
762Dic11⋊C4—21no—
763Dic11⋊C4—21no—
764Dic11⋊C4—21no—
765Dic11⋊C4C2×D411yescharacteristic
766Dic11⋊C4C2×D411yescharacteristic
767Dic11⋊C4C2×D411yescharacteristic
768Dic11⋊C4C2×D411yescharacteristic
769C4×Dic11—21no—
770C4×Dic11—21no—
771C4×Dic11—21no—
772C4×Dic11—21no—
773C4×Dic11—21no—
774C4×Dic11—21no—
775C4×Dic11C2411yescharacteristic
776#4318—22no—
777#4318—22no—
778C2×C11⋊C8C2411yescharacteristic
779C2×C11⋊C8C2411yescharacteristic
780C2×C11⋊C8C2411yescharacteristic
781C2×C11⋊C8C2411yescharacteristic
782Dic44—22no—
783Dic44—22no—
784Dic44—22no—
785Dic44—22no—
786Dic44—41no—
787Dic44C2×D414yes—
788#4314—22no—
789#4314—22no—
790#4314—41no—
791#4313—22no—
792#4313—22no—
793#4313C2×D414yes—
794C8×D11—22no—
795C8×D11—22no—
796C8×D11—22no—
797C8×D11—22no—
798C8×D11—22no—
799C2×#578—111no—
800C22×#137—111no—
801#3489—111no—
802#3486—111no—
803D4×Q16—111no—
804D4×Q16—111no—
805#3282—111no—
806#3282—111no—
807#3277—111no—
808#3277—111no—
809#3276—111no—
810#3276—111no—
811#3270—111no—
812#3270—111no—
813#3270—111no—
814#3270—111no—
815#3269—111no—
816#3269D1111yescharacteristic, complemented
817#3266—111no—
818#3266—111no—
819#3156—111no—
820#3063—111no—
821#3056—111no—
822#3046—111no—
823#3044—111no—
824#3013—111no—
825#3011—111no—
826#3002—111no—
827C2×#451—111no—
828#2947—111no—
829#2933—111no—
830C23×C11—21no—
831C23×C11—21no—
832C23×C11C22×D411yescharacteristic
833C23×C11C22×D411yescharacteristic
834C22×D11—22no—
835C22×D11—22no—
836C22×D11—21no—
837C22×D11—41no—
838C22×D11—42no—
839C22×D11—42no—
840C22×D11—81no—
841C22×D11C22×D411yescharacteristic
842C22×D11C22×D411yescharacteristic
843C22×D11C22×D411yescharacteristic
844Q8×C11—21no—
845Q8×C11—21no—
846Q8×C11—21no—
847Q8×C11—21no—
848Q8×C11—21no—
849Q8×C11—21no—
850Q8×C11—21no—
851Q8×C11—42no—
852Q8×C11C22×D412yes—
853D4×C11—21no—
854D4×C11—21no—
855D4×C11—21no—
856D4×C11—41no—
857D4×C11—42no—
858D4×C11—42no—
859D4×C11—42no—
860D4×C11—42no—
861D4×C11C22×D412yes—
862C2×C4×C11—21no—
863C2×C4×C11—21no—
864C2×C4×C11—21no—
865C2×C4×C11—21no—
866C2×C4×C11—21no—
867C2×C4×C11—21no—
868C2×C4×C11—21no—
869C2×C4×C11—21no—
870C2×C4×C11—21no—
871C2×C4×C11—21no—
872C2×C4×C11—42no—
873C2×C4×C11—42no—
874C2×C4×C11—42no—
875C2×C4×C11—42no—
876C2×C4×C11—81no—
877C2×C4×C11C22×D411yescharacteristic
878C2×C4×C11C22×D411yescharacteristic
879C2×C4×C11C22×D411yescharacteristic
880C2×C4×C11C22×D411yescharacteristic
881C2×C4×C11C2511yescharacteristic
882C22⋊D11—22no—
883C22⋊D11—24no—
884C22⋊D11—22no—
885C22⋊D11—22no—
886C22⋊D11—41no—
887C22⋊D11—42no—
888C22⋊D11—42no—
889C22⋊D11—42no—
890C22⋊D11—42no—
891C22⋊D11—42no—
892C22⋊D11—42no—
893C22⋊D11—81no—
894C2×Dic11—21no—
895C2×Dic11—21no—
896C2×Dic11—22no—
897C2×Dic11—24no—
898C2×Dic11—21no—
899C2×Dic11—21no—
900C2×Dic11—21no—
901C2×Dic11—21no—
902C2×Dic11—21no—
903C2×Dic11—42no—
904C2×Dic11—42no—
905C2×Dic11—42no—
906C2×Dic11—42no—
907C2×Dic11—42no—
908C2×Dic11—42no—
909C2×Dic11—81no—
910C2×Dic11C22×D411yescharacteristic
911C2×Dic11C22×D411yescharacteristic
912C2×Dic11C22×D411yescharacteristic
913C2×Dic11C22×D411yescharacteristic
914C2×Dic11C22×D411yescharacteristic
915D44—22no—
916D44—22no—
917D44—21no—
918D44—21no—
919D44—42no—
920D44—81no—
921C4×D11—22no—
922C4×D11—24no—
923C4×D11—21no—
924C4×D11—21no—
925C4×D11—21no—
926C4×D11—21no—
927C4×D11—22no—
928C4×D11—42no—
929C4×D11—42no—
930C4×D11—42no—
931C4×D11—42no—
932C4×D11—42no—
933C4×D11—42no—
934C4×D11—42no—
935C4×D11—42no—
936C4×D11—42no—
937C4×D11—81no—
938C4×D11C22×D412yes—
939C4×D11H(5,𝔽2)12yes—
940Dic22—21no—
941Dic22—21no—
942Dic22—24no—
943Dic22—22no—
944Dic22—21no—
945Dic22—21no—
946Dic22—21no—
947Dic22—21no—
948Dic22—21no—
949Dic22—21no—
950Dic22—42no—
951Dic22—42no—
952Dic22—42no—
953Dic22—42no—
954Dic22—42no—
955Dic22—42no—
956Dic22—42no—
957Dic22—42no—
958Dic22—42no—
959Dic22—42no—
960Dic22C22×D412yes—
961Dic22C22×D412yes—
962C8×C11—21no—
963C8×C11—21no—
964C8×C11—21no—
965C8×C11C22×D412yes—
966C11⋊C8—21no—
967C11⋊C8—21no—
968C11⋊C8—21no—
969C11⋊C8C22×D412yes—
970C2×2−1+4—111no—
971C2×2−1+4—111no—
972C22×#41—111no—
973C23×Q8—111no—
974#578—228no—
975C2×#137—111no—
976C2×#137—111no—
977C2×#137—111no—
978C2×#137—111no—
979C2×#137—111no—
980C2×#137—111no—
981C2×#137—111no—
982C2×#137—111no—
983C2×#137—111no—
984C2×#137—111no—
985C2×#137—111no—
986C2×#137—111no—
987C2×#137—228no—
988C2×#137C2×D1111yescharacteristic
989C2×#135—111no—
990C2×#135—111no—
991C2×#135—111no—
992C2×#135C2×D1111yescharacteristic, complemented
993C22×Q16—111no—
994C22×Q16—111no—
995C22×Q16—111no—
996C22×Q16—111no—
997C22×Q16—111no—
998C22×Q16—111no—
999C22×SD16—111no—
1000C22×SD16—111no—
1001C2×#131—111no—
1002C22×M16—111no—
1003D4×Q8—111no—
1004D4×Q8—111no—
1005D4×Q8—111no—
1006D4×Q8—111no—
1007D4×Q8—111no—
1008D4×Q8—111no—
1009D4×Q8—221no—
1010D4×Q8—221no—
1011#548—111no—
1012#548—111no—
1013#548—111no—
1014#548—111no—
1015#548—111no—
1016#548—221no—
1017#548—221no—
1018#548C2×D1111yescharacteristic, complemented
1019#547—111no—
1020#547—221no—
1021#547—221no—
1022#547C2×D1111yescharacteristic
1023#546—111no—
1024#546—111no—
1025#546—221no—
1026#546—221no—
1027#537—111no—
1028#537—221no—
1029#536—111no—
1030#536—111no—
1031#536—111no—
1032#536—221no—
1033#536—221no—
1034#536—221no—
1035#525—111no—
1036#525—111no—
1037#525—221no—
1038#525—221no—
1039#525—221no—
1040C2×C22⋊Q8—111no—
1041C2×C22⋊Q8—221no—
1042#520—111no—
1043#519—111no—
1044#497—111no—
1045#497—111no—
1046#497—111no—
1047#497C2×D1111yescharacteristic, complemented
1048#495—111no—
1049#495—111no—
1050#494—111no—
1051#494—111no—
1052#470—111no—
1053#470—111no—
1054#470—111no—
1055#470—111no—
1056#468—111no—
1057#468—111no—
1058#468—111no—
1059#468C2×D1111yescharacteristic, complemented
1060#467—111no—
1061#467—111no—
1062#467—111no—
1063#467C2×D1111yescharacteristic, complemented
1064#465—111no—
1065#465—111no—
1066#465—111no—
1067#465—111no—
1068#464—111no—
1069#464—111no—
1070#464—111no—
1071#464—111no—
1072#464—111no—
1073#464—111no—
1074#463—111no—
1075#463C2×D1111yescharacteristic, complemented
1076#462—111no—
1077#462—111no—
1078#462—111no—
1079#462—111no—
1080#462—111no—
1081#462C2×D1111yescharacteristic, complemented
1082#461—111no—
1083#461—111no—
1084#452—111no—
1085#452—111no—
1086#452—111no—
1087#452—111no—
1088#452—111no—
1089#452—111no—
1090#452C2×D1111yescharacteristic, complemented
1091#452C2×D1111yescharacteristic, complemented
1092#451—111no—
1093#451—111no—
1094#451—111no—
1095#451—111no—
1096#451—111no—
1097#451—111no—
1098#451—111no—
1099#451—111no—
1100#451—111no—
1101#451—111no—
1102#451—111no—
1103#451—111no—
1104#451—111no—
1105#451—111no—
1106#451C2×D1111yescharacteristic, complemented
1107#450—111no—
1108#449—111no—
1109#449—111no—
1110#449—111no—
1111#449C2×D1111yescharacteristic
1112#448—111no—
1113#448—111no—
1114#448—111no—
1115#447—111no—
1116#441—111no—
1117#441—111no—
1118#440—111no—
1119#440C2×D1111yescharacteristic, complemented
1120C4×Q16—111no—
1121C4×Q16—111no—
1122C4×SD16—111no—
1123C4×SD16—111no—
1124#436—111no—
1125#436—111no—
1126#435—111no—
1127#435—111no—
1128#435—111no—
1129#435C2×D1111yescharacteristic, complemented
1130C8×D4—111no—
1131C8×D4—111no—
1132#428—111no—
1133#424—111no—
1134#419—111no—
1135#417—111no—
1136#416—111no—
1137#416—111no—
1138C2×#103—111no—
1139C2×#103—111no—
1140#408—111no—
1141C2×C22⋊C8—111no—
1142#405—111no—
1143C22×C11—21no—
1144C22×C11—21no—
1145C22×C11—21no—
1146C22×C11—21no—
1147C22×C11—22no—
1148C22×C11—21no—
1149C22×C11—21no—
1150C22×C11—41no—
1151C22×C11—41no—
1152C22×C11—41no—
1153C22×C11—41no—
1154C22×C11—41no—
1155C22×C11C23×D411yescharacteristic
1156C2×D11—21no—
1157C2×D11—21no—
1158C2×D11—21no—
1159C2×D11—21no—
1160C2×D11—21no—
1161C2×D11—21no—
1162C2×D11—21no—
1163C2×D11—44no—
1164C2×D11—41no—
1165C2×D11—41no—
1166C2×D11—41no—
1167C2×D11—84no—
1168C2×D11D4212yes—
1169C2×D11#57812yescomplemented
1170C4×C11—21no—
1171C4×C11—21no—
1172C4×C11—21no—
1173C4×C11—22no—
1174C4×C11—21no—
1175C4×C11—41no—
1176C4×C11—41no—
1177C4×C11—41no—
1178C4×C11—41no—
1179C4×C11—41no—
1180C4×C11C23×D411yescharacteristic
1181C4×C11C2×H(5,𝔽2)11yescharacteristic
1182Dic11—21no—
1183Dic11—22no—
1184Dic11—21no—
1185Dic11—22no—
1186Dic11—21no—
1187Dic11—21no—
1188Dic11—41no—
1189Dic11—41no—
1190Dic11—41no—
1191Dic11—41no—
1192Dic11—41no—
1193Dic11D4212yes—
11942−1+4—224no—
11952−1+4—224no—
11962−1+4—442no—
11972−1+4—442no—
1198C2×#41—111no—
1199C2×#41—111no—
1200C2×#41—111no—
1201C2×#41—111no—
1202C2×#41—111no—
1203C2×#41—111no—
1204C2×#41—111no—
1205C2×#41—221no—
1206C2×#41—221no—
1207C2×#41—221no—
1208C2×#41—221no—
1209C2×#41—221no—
1210C2×#41—221no—
1211C2×#41—221no—
1212C2×#41—221no—
1213C2×#41—224no—
1214C2×#41—442no—
1215C2×#41C22×D1111yescharacteristic
1216C2×#41C22×D1111yescharacteristic
1217C2×#41C22×D1111yescharacteristic
1218C22×Q8—111no—
1219C22×Q8—111no—
1220C22×Q8—111no—
1221C22×Q8—111no—
1222C22×Q8—111no—
1223C22×Q8—111no—
1224C22×Q8—111no—
1225C22×Q8—111no—
1226C22×Q8—111no—
1227C22×Q8—111no—
1228C22×Q8—111no—
1229C22×Q8—221no—
1230C22×Q8—221no—
1231C22×Q8—221no—
1232C22×Q8—221no—
1233C22×Q8—221no—
1234C22×Q8—224no—
1235C22×Q8—442no—
1236C22×Q8C22×D1111yescharacteristic
1237C22×D4—111no—
1238C22×D4—221no—
1239C23×C4—111no—
1240C23×C4—221no—
1241C23×C4—221no—
1242#137—24no—
1243#137—118no—
1244#137—224no—
1245#137—224no—
1246#137—224no—
1247#137—224no—
1248#137—224no—
1249#137—224no—
1250#137—224no—
1251#137—224no—
1252#137—224no—
1253#137—224no—
1254#137—224no—
1255#135—24no—
1256#135—224no—
1257#135—224no—
1258#135—442no—
1259C2×Q16—111no—
1260C2×Q16—111no—
1261C2×Q16—111no—
1262C2×Q16—111no—
1263C2×Q16—111no—
1264C2×Q16—111no—
1265C2×Q16—111no—
1266C2×Q16—111no—
1267C2×Q16—111no—
1268C2×Q16—111no—
1269C2×Q16—111no—
1270C2×Q16—111no—
1271C2×Q16—111no—
1272C2×Q16—111no—
1273C2×Q16—111no—
1274C2×Q16—111no—
1275C2×Q16—224no—
1276C2×Q16—224no—
1277C2×Q16—224no—
1278C2×Q16—224no—
1279C2×Q16—224no—
1280C2×Q16—442no—
1281C2×Q16C22×D1111yescharacteristic
1282C2×Q16C22×D1111yescharacteristic
1283C2×Q16C22×D1111yescharacteristic
1284C2×Q16C22×D1111yescharacteristic
1285C2×SD16—111no—
1286C2×SD16—111no—
1287C2×SD16—111no—
1288C2×SD16—111no—
1289C2×SD16—111no—
1290C2×SD16—111no—
1291C2×SD16—111no—
1292C2×SD16—111no—
1293C2×SD16—111no—
1294C2×SD16—111no—
1295C2×SD16—224no—
1296C2×SD16—224no—
1297C2×SD16C22×D1111yescharacteristic
1298C2×SD16C22×D1111yescharacteristic
1299C2×SD16C22×D1111yescharacteristic
1300C2×SD16C22×D1111yescharacteristic
1301C2×D8—111no—
1302C2×D8C22×D1111yescharacteristic
1303#131—224no—
1304C2×M16—111no—
1305C2×M16—111no—
1306C2×M16—111no—
1307C2×M16—111no—
1308C2×M16—111no—
1309C2×M16—224no—
1310C2×M16C22×D1111yescharacteristic
1311C22×C8—111no—
1312C22×C8—111no—
1313C22×C8—111no—
1314C22×C8—111no—
1315C22×C8—111no—
1316C22×C8C22×D1111yescharacteristic
1317C4⋊Q8—111no—
1318C4⋊Q8—111no—
1319C4⋊Q8—111no—
1320C4⋊Q8—221no—
1321C4⋊Q8—221no—
1322C4⋊Q8—221no—
1323C4⋊Q8—221no—
1324C4⋊Q8—221no—
1325C4⋊Q8—221no—
1326C4⋊Q8—221no—
1327C4⋊Q8C22×D1111yescharacteristic
1328#124—21no—
1329#124—111no—
1330#124—111no—
1331#124—111no—
1332#124—221no—
1333#124—221no—
1334#124—221no—
1335#124—221no—
1336#124—221no—
1337#124—221no—
1338#124C22×D1111yescharacteristic
1339#123—21no—
1340#123—21no—
1341#123—111no—
1342#123—111no—
1343#123—221no—
1344#123—221no—
1345#123—221no—
1346#123—221no—
1347#123—221no—
1348#123—221no—
1349#123—221no—
1350#123—221no—
1351#123—221no—
1352#123—221no—
1353#123—221no—
1354C22⋊Q8—21no—
1355C22⋊Q8—111no—
1356C22⋊Q8—111no—
1357C22⋊Q8—111no—
1358C22⋊Q8—111no—
1359C22⋊Q8—111no—
1360C22⋊Q8—111no—
1361C22⋊Q8—111no—
1362C22⋊Q8—111no—
1363C22⋊Q8—111no—
1364C22⋊Q8—111no—
1365C22⋊Q8—111no—
1366C22⋊Q8—221no—
1367C22⋊Q8—221no—
1368C22⋊Q8—221no—
1369C22⋊Q8—221no—
1370C22⋊Q8—221no—
1371C22⋊Q8—221no—
1372C22⋊Q8—221no—
1373C22⋊Q8—221no—
1374C22⋊Q8—221no—
1375C22⋊Q8—221no—
1376C22⋊Q8—221no—
1377C22⋊Q8—221no—
1378C22⋊Q8—221no—
1379C22⋊Q8—221no—
1380C22⋊Q8—221no—
1381C22⋊Q8—221no—
1382C22⋊Q8—221no—
1383C22⋊Q8—221no—
1384C22⋊Q8—221no—
1385C22⋊Q8—221no—
1386C22⋊Q8—221no—
1387C22⋊Q8—221no—
1388C22⋊Q8—221no—
1389C22⋊Q8—221no—
1390C22⋊Q8C22×D1111yescharacteristic
1391C22⋊Q8C22×D1111yescharacteristic
1392C22⋊Q8C22×D1111yescharacteristic
1393#121—21no—
1394#121—21no—
1395#121—111no—
1396#121—111no—
1397#121—111no—
1398#121—111no—
1399#121—111no—
1400#121—221no—
1401#121—221no—
1402#121—221no—
1403#121—221no—
1404#121—221no—
1405#121—221no—
1406#121—221no—
1407#121—221no—
1408#121—221no—
1409#121—221no—
1410#121—221no—
1411#121C22×D1111yescharacteristic
1412#120—111no—
1413#120—111no—
1414#120—221no—
1415#120—221no—
1416#120—221no—
1417C4×Q8—111no—
1418C4×Q8—111no—
1419C4×Q8—111no—
1420C4×Q8—111no—
1421C4×Q8—111no—
1422C4×Q8—221no—
1423C4×Q8—221no—
1424C4×Q8C22×D1111yescharacteristic
1425C4×D4—21no—
1426C4×D4—111no—
1427C4×D4—111no—
1428C4×D4—111no—
1429C4×D4—111no—
1430C4×D4—221no—
1431C4×D4—221no—
1432C4×D4—221no—
1433C4×D4—221no—
1434C4×D4—221no—
1435C4×D4—221no—
1436C4×D4—221no—
1437C4×D4—221no—
1438C4×D4—221no—
1439C4×D4—221no—
1440C4×D4—221no—
1441C4×D4—221no—
1442C4×D4—221no—
1443C4×D4—221no—
1444C4×D4—221no—
1445C4×D4C22×D1111yescharacteristic
1446C4×D4C22×D1111yescharacteristic
1447#117—111no—
1448#117—111no—
1449#117—221no—
1450#117—221no—
1451#117—221no—
1452C2×C4⋊C4—21no—
1453C2×C4⋊C4—111no—
1454C2×C4⋊C4—221no—
1455C2×C4⋊C4—221no—
1456C2×C4⋊C4—221no—
1457C2×C22⋊C4—221no—
1458C2×C22⋊C4—221no—
1459C2×C22⋊C4—221no—
1460#107—111no—
1461#107C22×D1111yescharacteristic
1462#106—111no—
1463#106—111no—
1464C4⋊C8—111no—
1465C4⋊C8—111no—
1466C4⋊C8—111no—
1467C4⋊C8C22×D1111yescharacteristic
1468#103—111no—
1469#103—111no—
1470#103—111no—
1471#103—111no—
1472#103—111no—
1473#103—111no—
1474#103—111no—
1475#103—111no—
1476#103—111no—
1477#103—111no—
1478#103—111no—
1479#103—111no—
1480#103—111no—
1481#103—111no—
1482#103C22×D1111yescharacteristic
1483#103C22×D1111yescharacteristic
1484#103C22×D1111yescharacteristic
1485#103C22×D1111yescharacteristic
1486#102—111no—
1487#102—111no—
1488#102—111no—
1489#102—111no—
1490#102C22×D1111yescharacteristic
1491#102C22×D1111yescharacteristic
1492C22⋊C8—111no—
1493C22⋊C8—111no—
1494C22⋊C8—111no—
1495C22⋊C8—111no—
1496C22⋊C8—111no—
1497C22⋊C8—111no—
1498C22⋊C8C22×D1111yescharacteristic
1499C22⋊C8C22×D1111yescharacteristic
1500#97—111no—
1501#97C22×D1111yescharacteristic
1502C4×C8—111no—
1503C4×C8—111no—
1504C2×C11—41no—
1505C2×C11—42no—
1506C2×C11—41no—
1507C2×C11—81no—
1508C2×C11C2×D4211yescharacteristic
1509C2×C11C2×#57811yescharacteristic
1510C2×C11#358611yescharacteristic
1511D11—22no—
1512D11—22no—
1513D11—41no—
1514D11—81no—
1515C24—111no—
1516C24—221no—
1517#41—22no—
1518#41—22no—
1519#41—22no—
1520#41—41no—
1521#41—41no—
1522#41—41no—
1523#41—114no—
1524#41—222no—
1525#41—222no—
1526#41—222no—
1527#41—222no—
1528#41—222no—
1529#41—222no—
1530#41—222no—
1531#41—222no—
1532#41—222no—
1533#41—222no—
1534#41—441no—
1535#41—444no—
1536#41—444no—
1537#41—444no—
1538#41—444no—
1539#41—441no—
1540#41—441no—
1541#41—444no—
1542#41—444no—
1543#41—444no—
1544#41—444no—
1545C2×Q8—21no—
1546C2×Q8—22no—
1547C2×Q8—41no—
1548C2×Q8—111no—
1549C2×Q8—114no—
1550C2×Q8—111no—
1551C2×Q8—111no—
1552C2×Q8—111no—
1553C2×Q8—111no—
1554C2×Q8—111no—
1555C2×Q8—221no—
1556C2×Q8—221no—
1557C2×Q8—221no—
1558C2×Q8—221no—
1559C2×Q8—221no—
1560C2×Q8—221no—
1561C2×Q8—221no—
1562C2×Q8—221no—
1563C2×Q8—222no—
1564C2×Q8—222no—
1565C2×Q8—222no—
1566C2×Q8—222no—
1567C2×Q8—222no—
1568C2×Q8—222no—
1569C2×Q8—222no—
1570C2×Q8—222no—
1571C2×Q8—221no—
1572C2×Q8—221no—
1573C2×Q8—221no—
1574C2×Q8—222no—
1575C2×Q8—222no—
1576C2×Q8—222no—
1577C2×Q8—222no—
1578C2×Q8—222no—
1579C2×Q8—441no—
1580C2×Q8—441no—
1581C2×Q8—441no—
1582C2×Q8—444no—
1583C2×Q8—444no—
1584C2×Q8—444no—
1585C2×Q8—444no—
1586C2×Q8—441no—
1587C2×Q8—441no—
1588C2×Q8—441no—
1589C2×Q8—441no—
1590C2×Q8—441no—
1591C2×Q8—444no—
1592C2×Q8C23×D1111yescharacteristic
1593C2×Q8C23×D1111yescharacteristic
1594C2×Q8C23×D1111yescharacteristic
1595C2×Q8C23×D1111yescharacteristic
1596C2×D4—21no—
1597C2×D4—21no—
1598C2×D4—21no—
1599C2×D4—21no—
1600C2×D4—111no—
1601C2×D4—111no—
1602C2×D4—111no—
1603C2×D4—111no—
1604C2×D4—111no—
1605C2×D4—111no—
1606C2×D4—111no—
1607C2×D4—221no—
1608C2×D4—221no—
1609C2×D4—221no—
1610C2×D4—221no—
1611C2×D4—222no—
1612C2×D4—221no—
1613C2×D4—221no—
1614C2×D4—221no—
1615C2×D4—221no—
1616C2×D4—221no—
1617C2×D4—221no—
1618C2×D4—441no—
1619C2×D4—444no—
1620C2×D4D4×D1111yescharacteristic
1621C2×D4C23×D1111yescharacteristic
1622C2×D4C23×D1111yescharacteristic
1623C22×C4—21no—
1624C22×C4—21no—
1625C22×C4—21no—
1626C22×C4—21no—
1627C22×C4—21no—
1628C22×C4—111no—
1629C22×C4—111no—
1630C22×C4—111no—
1631C22×C4—111no—
1632C22×C4—111no—
1633C22×C4—111no—
1634C22×C4—222no—
1635C22×C4—222no—
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—444no—
1656C22×C4—444no—
1657C22×C4C23×D1111yescharacteristic
1658C22×C4C23×D1111yescharacteristic
1659Q16—22no—
1660Q16—22no—
1661Q16—22no—
1662Q16—41no—
1663Q16—114no—
1664Q16—114no—
1665Q16—222no—
1666Q16—222no—
1667Q16—222no—
1668Q16—222no—
1669Q16—222no—
1670Q16—222no—
1671Q16—222no—
1672Q16—222no—
1673Q16—222no—
1674Q16—222no—
1675Q16—441no—
1676Q16—441no—
1677Q16—441no—
1678Q16—441no—
1679SD16—22no—
1680SD16—22no—
1681SD16—41no—
1682SD16—114no—
1683SD16—222no—
1684SD16—222no—
1685SD16—222no—
1686SD16—222no—
1687SD16—222no—
1688SD16—222no—
1689SD16—222no—
1690SD16—222no—
1691SD16—441no—
1692SD16D4×D1114yes—
1693D8—22no—
1694D8—441no—
1695M16—22no—
1696M16—114no—
1697M16—222no—
1698M16—222no—
1699M16—222no—
1700M16—222no—
1701C2×C8—22no—
1702C2×C8—111no—
1703C2×C8—111no—
1704C2×C8—111no—
1705C2×C8—111no—
1706C2×C8—222no—
1707C2×C8—222no—
1708C2×C8—222no—
1709C2×C8—222no—
1710C2×C8—222no—
1711C2×C8C23×D1111yescharacteristic
1712C2×C8C23×D1111yescharacteristic
1713C2×C8C23×D1111yescharacteristic
1714C2×C8C23×D1111yescharacteristic
1715C4⋊C4—21no—
1716C4⋊C4—21no—
1717C4⋊C4—21no—
1718C4⋊C4—21no—
1719C4⋊C4—21no—
1720C4⋊C4—21no—
1721C4⋊C4—111no—
1722C4⋊C4—111no—
1723C4⋊C4—111no—
1724C4⋊C4—111no—
1725C4⋊C4—111no—
1726C4⋊C4—111no—
1727C4⋊C4—111no—
1728C4⋊C4—221no—
1729C4⋊C4—221no—
1730C4⋊C4—221no—
1731C4⋊C4—221no—
1732C4⋊C4—221no—
1733C4⋊C4—221no—
1734C4⋊C4—221no—
1735C4⋊C4—221no—
1736C4⋊C4—221no—
1737C4⋊C4—221no—
1738C4⋊C4—221no—
1739C4⋊C4—221no—
1740C4⋊C4—221no—
1741C4⋊C4—221no—
1742C4⋊C4—221no—
1743C4⋊C4—221no—
1744C4⋊C4—221no—
1745C4⋊C4—221no—
1746C4⋊C4—221no—
1747C4⋊C4—221no—
1748C4⋊C4—221no—
1749C4⋊C4D4×D1111yescharacteristic
1750C4⋊C4C23×D1111yescharacteristic
1751C4⋊C4C23×D1111yescharacteristic
1752C22⋊C4—21no—
1753C22⋊C4—21no—
1754C22⋊C4—21no—
1755C22⋊C4—21no—
1756C22⋊C4—21no—
1757C22⋊C4—21no—
1758C22⋊C4—21no—
1759C22⋊C4—111no—
1760C22⋊C4—111no—
1761C22⋊C4—111no—
1762C22⋊C4—111no—
1763C22⋊C4—111no—
1764C22⋊C4—111no—
1765C22⋊C4—111no—
1766C22⋊C4—111no—
1767C22⋊C4—221no—
1768C22⋊C4—221no—
1769C22⋊C4—221no—
1770C22⋊C4—221no—
1771C22⋊C4—221no—
1772C22⋊C4—221no—
1773C22⋊C4—221no—
1774C22⋊C4—221no—
1775C22⋊C4—221no—
1776C22⋊C4—221no—
1777C22⋊C4—221no—
1778C22⋊C4—221no—
1779C22⋊C4—221no—
1780C22⋊C4—221no—
1781C22⋊C4—221no—
1782C22⋊C4—221no—
1783C22⋊C4—221no—
1784C22⋊C4—221no—
1785C22⋊C4—221no—
1786C22⋊C4—221no—
1787C22⋊C4D4×D1111yescharacteristic
1788C22⋊C4D4×D1111yescharacteristic
1789C42—21no—
1790C42—111no—
1791C42—221no—
1792C42—221no—
1793C42—221no—
1794C42—221no—
1795C42—221no—
1796C42—221no—
1797C42C23×D1111yescharacteristic
1798C11#6107611yescharacteristic, complemented, Sylow
1799C23—21no—
1800C23—21no—
1801C23—111no—
1802C23—111no—
1803C23—111no—
1804C23—222no—
1805C23—222no—
1806C23—221no—
1807C23—441no—
1808C23—442no—
1809C23—442no—
1810C23—881no—
1811C23C2×D4×D1111yescharacteristic
1812C23C2×D4×D1111yescharacteristic
1813Q8—21no—
1814Q8—21no—
1815Q8—21no—
1816Q8—21no—
1817Q8—21no—
1818Q8—21no—
1819Q8—21no—
1820Q8—42no—
1821Q8—112no—
1822Q8—112no—
1823Q8—224no—
1824Q8—222no—
1825Q8—221no—
1826Q8—221no—
1827Q8—221no—
1828Q8—221no—
1829Q8—221no—
1830Q8—221no—
1831Q8—221no—
1832Q8—221no—
1833Q8—442no—
1834Q8—442no—
1835Q8—442no—
1836Q8—442no—
1837Q8—442no—
1838Q8—442no—
1839Q8—442no—
1840Q8—442no—
1841Q8—442no—
1842Q8—442no—
1843Q8C2×D4×D1112yes—
1844D4—21no—
1845D4—21no—
1846D4—21no—
1847D4—41no—
1848D4—42no—
1849D4—42no—
1850D4—42no—
1851D4—42no—
1852D4—222no—
1853D4—222no—
1854D4—222no—
1855D4—222no—
1856D4—222no—
1857D4—224no—
1858D4—221no—
1859D4—221no—
1860D4—442no—
1861D4—441no—
1862D4—442no—
1863D4—442no—
1864D4—442no—
1865D4—442no—
1866D4—442no—
1867D4—442no—
1868D4—881no—
1869D4—881no—
1870D4C2×D4×D1112yes—
1871C2×C4—21no—
1872C2×C4—21no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—42no—
1882C2×C4—42no—
1883C2×C4—42no—
1884C2×C4—42no—
1885C2×C4—81no—
1886C2×C4—111no—
1887C2×C4—112no—
1888C2×C4—112no—
1889C2×C4—111no—
1890C2×C4—111no—
1891C2×C4—111no—
1892C2×C4—111no—
1893C2×C4—222no—
1894C2×C4—222no—
1895C2×C4—224no—
1896C2×C4—222no—
1897C2×C4—224no—
1898C2×C4—221no—
1899C2×C4—221no—
1900C2×C4—221no—
1901C2×C4—221no—
1902C2×C4—221no—
1903C2×C4—221no—
1904C2×C4—221no—
1905C2×C4—221no—
1906C2×C4—221no—
1907C2×C4—221no—
1908C2×C4—221no—
1909C2×C4—442no—
1910C2×C4—442no—
1911C2×C4—442no—
1912C2×C4—442no—
1913C2×C4—442no—
1914C2×C4—442no—
1915C2×C4—442no—
1916C2×C4—442no—
1917C2×C4—442no—
1918C2×C4—442no—
1919C2×C4—442no—
1920C2×C4—442no—
1921C2×C4—442no—
1922C2×C4—442no—
1923C2×C4—442no—
1924C2×C4—881no—
1925C2×C4—881no—
1926C2×C4C2×D4×D1111yescharacteristic
1927C2×C4C2×D4×D1111yescharacteristic
1928C2×C4C2×D4×D1111yescharacteristic
1929C2×C4C2×D4×D1111yescharacteristic
1930C2×C4C24×D1111yescharacteristic
1931C8—21no—
1932C8—21no—
1933C8—21no—
1934C8—112no—
1935C8—221no—
1936C8—221no—
1937C8—221no—
1938C8C2×D4×D1112yes—
1939C22—21no—
1940C22—21no—
1941C22—21no—
1942C22—21no—
1943C22—22no—
1944C22—21no—
1945C22—21no—
1946C22—41no—
1947C22—41no—
1948C22—41no—
1949C22—41no—
1950C22—41no—
1951C22—112no—
1952C22—112no—
1953C22—221no—
1954C22—221no—
1955C22—221no—
1956C22—221no—
1957C22—221no—
1958C22—221no—
1959C22—221no—
1960C22—444no—
1961C22—441no—
1962C22—441no—
1963C22—441no—
1964C22—884no—
1965C22C22×D4×D1111yescharacteristic
1966C4—21no—
1967C4—21no—
1968C4—21no—
1969C4—22no—
1970C4—21no—
1971C4—41no—
1972C4—41no—
1973C4—41no—
1974C4—41no—
1975C4—41no—
1976C4—112no—
1977C4—221no—
1978C4—221no—
1979C4—221no—
1980C4—222no—
1981C4—222no—
1982C4—221no—
1983C4—441no—
1984C4—441no—
1985C4—441no—
1986C4—441no—
1987C4—441no—
1988C4C22×D4×D1111yescharacteristic
1989C4D11×H(5,𝔽2)11yescharacteristic
1990C2—41no—
1991C2—41no—
1992C2—42no—
1993C2—81no—
1994C2—222no—
1995C2—222no—
1996C2—441no—
1997C2—881no—
1998C2D42×D1111yescharacteristic
1999C2D11×#57811yescharacteristic
2000C2#1308340011yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3269C2
socleC22×C11C23×D4
hypercenter#3269D11
hypocenterC11#61076
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3269

Complements

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

NH ≅ G/Ntype
1. C2×#10623302C2semidirect
2. C2×D11×#137C2semidirect
3. #13082290C2semidirect
4. #13082262C2semidirect
5. #13080365C2semidirect
6. #13080363C2semidirect
7. #13080329C2semidirect
8. #13080317C2semidirect
9. #13080270C2semidirect
10. #13080269C2semidirect
11. #13080258C2semidirect
12. #13080256C2semidirect
13. #13080191C2semidirect
14. #13080189C2semidirect
15. #13080185C2semidirect
16. #13080184C2semidirect
17. #13080169C2semidirect
18. #13080128C2semidirect
19. #13080124C2semidirect
20. #13079108C2semidirect
21. #13078306C2semidirect
22. #13078241C2semidirect
23. #13078167C2semidirect
24. #13078141C2semidirect
25. #13077935C2semidirect
26. #13077908C2semidirect
27. #13077831C2semidirect
28. D11×#451C2semidirect
29. #13077456C2semidirect
30. #13077339C2semidirect
31. C11×#3269C2semidirect
33. C2×#67043C22semidirect
37. C2×C11×#135C22semidirect
38. C11×#548C22semidirect
44. C2×#67004C22semidirect
45. C2×#67004C22semidirect
46. Q8×C22⋊D11C22semidirect
54. C2×Q16×D11C22semidirect
55. C2×Q16×D11C22semidirect
56. C2×Q16×D11C22semidirect
60. C2×#66968C22semidirect
61. C2×#66968C22semidirect
62. C2×#66968C22semidirect
66. C2×#66965C22semidirect
69. C22×Dic44C22semidirect
70. C2×#66954C22semidirect
76. #10623206C22semidirect
87. #10623159C22semidirect
93. #10623129C22semidirect
96. #10623103C22semidirect
103. D4×Dic22C22semidirect
106. C11×#497C22semidirect
107. C11×#468C22semidirect
108. C11×#467C22semidirect
109. C11×#463C22semidirect
110. C11×#462C22semidirect
111. C11×#452C22semidirect
112. C11×#452C22semidirect
113. C11×#451C22semidirect
115. C11×#440C22semidirect
116. C11×#435C22semidirect
118. #10622852C22semidirect
119. #10622851C22semidirect
120. #10622841C22semidirect
121. #10622803C22semidirect
122. #10622802C22semidirect
125. #10622799C22semidirect
126. #10622799C22semidirect
127. #10622798C22semidirect
128. #10622795C22semidirect
129. #10622794C22semidirect
130. #10622786C22semidirect
131. #10622786C22semidirect
134. #10622781C22semidirect
135. #10622780C22semidirect
136. #10622775C22semidirect
137. SD16×Dic11C22semidirect
139. #10622766C22semidirect
140. #10622750C22semidirect
141. #10622741C22semidirect
142. #10622727C22semidirect
144. #10622705C22semidirect
145. #10622703C22semidirect
146. #10622672C22semidirect
147. #10622667C22semidirect
148. #10622665C22semidirect
149. #10622665C22semidirect
150. #10622663C22semidirect
151. #10622663C22semidirect
152. #10622663C22semidirect
153. #10622662C22semidirect
154. #10622655C22semidirect
156. C4×#4326C22semidirect
157. #10622641C22semidirect
158. #10622632C22semidirect
159. C4×#4324C22semidirect
160. #10622625C22semidirect
162. #10622499C22semidirect
163. #10622494C22semidirect
164. #10622486C22semidirect
165. #10622462C22semidirect
166. #10622458C22semidirect
167. #10622452C22semidirect
170. #10622426C22semidirect
174. #10622421C22semidirect
175. #10622420C22semidirect
176. #10622419C22semidirect
178. #10622415C22semidirect
179. D11×#103C22semidirect
180. D11×#103C22semidirect
181. #10622411C22semidirect
182. #10622406C22semidirect
183. #10622406C22semidirect
184. #10622402C22semidirect
185. #10622396C22semidirect
186. #10622394C22semidirect
190. #10622384C22semidirect
191. #10622380C22semidirect
192. #10622370C22semidirect
193. #10622352C22semidirect
194. #10622352C22semidirect
195. #10622351C22semidirect
198. #10622341C22semidirect
199. #10622340C22semidirect
201. #10622329C22semidirect
202. #10622328C22semidirect
203. #10622321C22semidirect
363. #66968D4semidirect
816. #3269D11semidirect
992. C2×#135C2×D11semidirect
1018. #548C2×D11semidirect
1047. #497C2×D11semidirect
1059. #468C2×D11semidirect
1063. #467C2×D11semidirect
1075. #463C2×D11semidirect
1081. #462C2×D11semidirect
1090. #452C2×D11semidirect
1091. #452C2×D11semidirect
1106. #451C2×D11semidirect
1119. #440C2×D11semidirect
1129. #435C2×D11semidirect
1169. C2×D11#578semidirect
1798. C11#61076semidirect

Maximal subgroups

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

subgroupindex
C2×#106233022
C2×D11×#1372
#130822902
#130822622
#130803652
#130803632
#130803292
#130803172
#130802702
#130802692
#130802582
#130802562
#130801912
#130801892
#130801852
#130801842
#130801692
#130801282
#130801242
#130791082
#130783062
#130782412
#130781672
#130781412
#130779352
#130779082
#130778312
D11×#4512
#130774562
#130773392
C11×#32692
#6107611