Finite Group Databasebeta

← #15629595

Subgroups — #15629595

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×#10623297C211yesmaximal, characteristic, complemented
2C2×D11×#137C211yesmaximal, characteristic, complemented
3#13082295C211yesmaximal, characteristic, complemented
4#13082266C211yesmaximal, characteristic, complemented
5#13080363C211yesmaximal, characteristic, complemented
6Q16×C22⋊D11C211yesmaximal, characteristic, complemented
7#13080330C211yesmaximal, characteristic, complemented
8#13080318C211yesmaximal, characteristic, complemented
9#13080269C211yesmaximal, characteristic, complemented
10#13080267C211yesmaximal, characteristic, complemented
11#13080262C211yesmaximal, characteristic, complemented
12#13080259C211yesmaximal, characteristic, complemented
13#13080189C211yesmaximal, characteristic, complemented
14#13080188C211yesmaximal, characteristic, complemented
15#13080184C211yesmaximal, characteristic, complemented
16#13080176C211yesmaximal, characteristic, complemented
17#13080174C211yesmaximal, characteristic, complemented
18#13080129C211yesmaximal, characteristic, complemented
19#13080125C211yesmaximal, characteristic, complemented
20#13079108C211yesmaximal, characteristic, complemented
21#13078300C211yesmaximal, characteristic, complemented
22#13078245C211yesmaximal, characteristic, complemented
23#13078163C211yesmaximal, characteristic, complemented
24#13078144C211yesmaximal, characteristic, complemented
25#13077926C211yesmaximal, characteristic, complemented
26#13077906C211yesmaximal, characteristic, complemented
27#13077837C211yesmaximal, characteristic, complemented
28D11×#451C211yesmaximal, characteristic, complemented
29#13077458C211yesmaximal, characteristic, complemented
30#13077339C211yesmaximal, characteristic, complemented
31C11×#3270C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C2×#67040C2211yescharacteristic
34C2×#67040C2211yescharacteristic, complemented
35C22×Q8×D11C2211yescharacteristic
36C2×C11×#137C2211yescharacteristic
37C22×C11×Q16C2211yescharacteristic, complemented
38D4×Q8×C11C2211yescharacteristic, complemented
39C11×#548C2211yescharacteristic
40#10623362C2211yescharacteristic
41C2×#67004C2211yescharacteristic
42#10623348C2211yescharacteristic, complemented
43Q8×C22⋊D11C2211yescharacteristic
44Q8×C22⋊D11C2211yescharacteristic
45C2×#66995C2211yescharacteristic
46C2×#66995C2211yescharacteristic, complemented
47C2×#66995C2211yescharacteristic, complemented
48D11×#137—28no—
49#10623297—28no—
50C2×#66972C2211yescharacteristic
51C2×#66972C2211yescharacteristic, complemented
52C2×#66971C2211yescharacteristic
53C2×#66971C2211yescharacteristic
54C2×#66971C2211yescharacteristic, complemented
55C2×#66971C2211yescharacteristic, complemented
56C2×#66971C2211yescharacteristic, complemented
57C2×Q16×D11C2211yescharacteristic
58C2×Q16×D11C2211yescharacteristic
59C2×Q16×D11C2211yescharacteristic, complemented
60C2×Q16×D11C2211yescharacteristic, complemented
61C2×Q16×D11C2211yescharacteristic, complemented
62C2×#66969C2211yescharacteristic
63C2×#66968C2211yescharacteristic
64C2×#66968C2211yescharacteristic
65C2×SD16×D11C2211yescharacteristic
66C2×SD16×D11C2211yescharacteristic
67C2×#66962C2211yescharacteristic
68C2×M16×D11C2211yescharacteristic
69C2×#66957C2211yescharacteristic, complemented
70C2×#66954C2211yescharacteristic, complemented
71#10623258—21no—
72#10623258C2211yescharacteristic
73#10623255—21no—
74#10623255C2211yescharacteristic, complemented
75#10623207—21no—
76#10623207C2211yescharacteristic
77#10623206—21no—
78#10623206C2211yescharacteristic
79#10623164—21no—
80#10623164C2211yescharacteristic
81#10623163—21no—
82#10623163C2211yescharacteristic, complemented
83#10623162—21no—
84#10623162C2211yescharacteristic
85#10623159—21no—
86#10623159C2211yescharacteristic, complemented
87#10623158—21no—
88#10623158C2211yescharacteristic
89D11×C22⋊Q8—21no—
90D11×C22⋊Q8C2211yescharacteristic
91#10623143—21no—
92#10623143C2211yescharacteristic
93#10623139—21no—
94#10623139C2211yescharacteristic
95#10623107C2211yescharacteristic
96Q8×D44C2211yescharacteristic
97#10623105C2211yescharacteristic
98#10623103C2211yescharacteristic, complemented
99#10623083—21no—
100#10623083C2211yescharacteristic, complemented
101#10623082—21no—
102#10623082C2211yescharacteristic
103#10623078—21no—
104#10623078—21no—
105#10623078C2211yescharacteristic
106C11×#497C2211yescharacteristic, complemented
107C11×#470C2211yescharacteristic, complemented
108C11×#465C2211yescharacteristic, complemented
109C11×#464C2211yescharacteristic, complemented
110C11×#462C2211yescharacteristic, complemented
111C11×#452C2211yescharacteristic
112C11×#451C2211yescharacteristic, complemented
113C11×#451C2211yescharacteristic, complemented
114C11×#448C2211yescharacteristic, complemented
115C11×#441C2211yescharacteristic, complemented
116C11×#435C2211yescharacteristic, complemented
117#10622851C2211yescharacteristic
118#10622841C2211yescharacteristic, complemented
119#10622841C2211yescharacteristic, complemented
120#10622841C2211yescharacteristic, complemented
121#10622803C2211yescharacteristic, complemented
122#10622801C2211yescharacteristic
123#10622800C2211yescharacteristic, complemented
124#10622799C2211yescharacteristic
125#10622799C2211yescharacteristic
126#10622799C2211yescharacteristic
127#10622799C2211yescharacteristic, complemented
128#10622798C2211yescharacteristic, complemented
129Q16×Dic11C2211yescharacteristic, complemented
130#10622795C2211yescharacteristic, complemented
131#10622795C2211yescharacteristic, complemented
132#10622794C2211yescharacteristic, complemented
133#10622787C2211yescharacteristic, complemented
134#10622785C2211yescharacteristic, complemented
135#10622783C2211yescharacteristic, complemented
136#10622782C2211yescharacteristic
137#10622781C2211yescharacteristic, complemented
138#10622780C2211yescharacteristic, complemented
139#10622779C2211yescharacteristic, complemented
140#10622747C2211yescharacteristic, complemented
141#10622741C2211yescharacteristic, complemented
142#10622729C2211yescharacteristic, complemented
143C8×C22⋊D11C2211yescharacteristic
144#10622705C2211yescharacteristic, complemented
145#10622696C2211yescharacteristic, complemented
146#10622672C2211yescharacteristic, complemented
147#10622667C2211yescharacteristic, complemented
148#10622665C2211yescharacteristic, complemented
149#10622665C2211yescharacteristic, complemented
150#10622663C2211yescharacteristic, complemented
151#10622662C2211yescharacteristic, complemented
152#10622660C2211yescharacteristic
153#10622660C2211yescharacteristic, complemented
154#10622655C2211yescharacteristic, complemented
155#10622650C2211yescharacteristic, complemented
156#10622644C2211yescharacteristic, complemented
157C4×#4326C2211yescharacteristic, complemented
158#10622641C2211yescharacteristic, complemented
159C4×#4325C2211yescharacteristic, complemented
160#10622625C2211yescharacteristic, complemented
161#10622481C2211yescharacteristic, complemented
162#10622477C2211yescharacteristic
163#10622474C2211yescharacteristic, complemented
164#10622465C2211yescharacteristic, complemented
165#10622462C2211yescharacteristic, complemented
166#10622457C2211yescharacteristic, complemented
167#10622452C2211yescharacteristic, complemented
168#10622447C2211yescharacteristic
169#10622432C2211yescharacteristic, complemented
170#10622431C2211yescharacteristic, complemented
171#10622430C2211yescharacteristic, complemented
172#10622426C2211yescharacteristic
173#10622426C2211yescharacteristic, complemented
174#10622423C2211yescharacteristic, complemented
175#10622423C2211yescharacteristic, complemented
176#10622421C2211yescharacteristic
177#10622421C2211yescharacteristic
178#10622421C2211yescharacteristic, complemented
179#10622421C2211yescharacteristic, complemented
180#10622420C2211yescharacteristic
181#10622419C2211yescharacteristic
182#10622417C2211yescharacteristic
183#10622416C2211yescharacteristic, complemented
184#10622415C2211yescharacteristic, complemented
185D11×#103C2211yescharacteristic, complemented
186D11×#103C2211yescharacteristic, complemented
187#10622406C2211yescharacteristic, complemented
188#10622402C2211yescharacteristic, complemented
189#10622391C2211yescharacteristic, complemented
190#10622386C2211yescharacteristic
191#10622385C2211yescharacteristic
192#10622380C2211yescharacteristic, complemented
193#10622352C2211yescharacteristic, complemented
194#10622347C2211yescharacteristic
195#10622346C2211yescharacteristic, complemented
196#10622346C2211yescharacteristic, complemented
197#10622341C2211yescharacteristic
198#10622341C2211yescharacteristic, complemented
199#10622340C2211yescharacteristic, complemented
200D11×C22⋊C8C2211yescharacteristic
201#10622328C2211yescharacteristic, complemented
202#10622323C2211yescharacteristic, complemented
203#10622321C2211yescharacteristic, complemented
204#10622319C2211yescharacteristic
205C2×C11×#41C2311yescharacteristic
206C22×Q8×C11C2311yescharacteristic
207C22×Q8×C11C2311yescharacteristic
208C22×Q8×C11C2311yescharacteristic
209#41×D11—24no—
210#41×D11—42no—
211#67040—24no—
212#67040—24no—
213#67040—42no—
214#67040—42no—
215C2×#4343—21no—
216C2×#4343—21no—
217C2×#4343C2311yescharacteristic
218C2×#4343C2311yescharacteristic
219C2×#4343C2311yescharacteristic
220C2×#4343C2311yescharacteristic
221C2×Q8×D11—21no—
222C2×Q8×D11—21no—
223C2×Q8×D11—21no—
224C2×Q8×D11—21no—
225C2×Q8×D11—24no—
226C2×Q8×D11—42no—
227C2×Q8×D11C2311yescharacteristic
228C2×Q8×D11C2311yescharacteristic
229C2×Q8×D11C2311yescharacteristic
230C2×Q8×D11C2311yescharacteristic
231C2×Q8×D11C2311yescharacteristic
232C2×Q8×D11C2311yescharacteristic
233C2×Q8×D11C2311yescharacteristic
234C2×Q8×D11C2311yescharacteristic
235C2×#4341—21no—
236C2×#4341C2311yescharacteristic
237C2×D4×D11—21no—
238C2×D4×D11C2311yescharacteristic
239C2×#4339—21no—
240C2×#4339—21no—
241C2×#4339—21no—
242C2×#4339—21no—
243C2×#4339—21no—
244C2×#4339C2311yescharacteristic
245C2×#4339C2311yescharacteristic
246C2×#4339C2311yescharacteristic
247C2×#4339C2311yescharacteristic
248C22×C4×D11—21no—
249C22×C4×D11—21no—
250C22×C4×D11C2311yescharacteristic
251C22×Dic22—21no—
252C22×Dic22C2311yescharacteristic
253C11×#137—24no—
254C2×C11×Q16—24no—
255C2×C11×Q16C2311yescharacteristic
256C2×C11×Q16C2311yescharacteristic
257C2×C11×Q16C2311yescharacteristic
258C2×C11×Q16C2311yescharacteristic
259C2×C11×Q16C2311yescharacteristic
260C2×C11×Q16C2311yescharacteristic
261C2×C11×SD16C2311yescharacteristic
262C2×C11×SD16C2311yescharacteristic
263C2×C11×SD16C2311yescharacteristic
264C2×C11×M16C2311yescharacteristic
265C22×C8×C11C2311yescharacteristic
266C11×C4⋊Q8—21no—
267C11×C4⋊Q8C2311yescharacteristic
268C11×#124—21no—
269C11×#124C2311yescharacteristic
270C11×C22⋊Q8—21no—
271C11×C22⋊Q8—21no—
272C11×C22⋊Q8—21no—
273C11×C22⋊Q8C2311yescharacteristic
274C11×C22⋊Q8C2311yescharacteristic
275C11×C22⋊Q8C2311yescharacteristic
276C11×#121—21no—
277C11×#121C2311yescharacteristic
278C4×Q8×C11C2311yescharacteristic
279C4×Q8×C11C2311yescharacteristic
280C4×D4×C11—21no—
281C4×D4×C11—21no—
282C4×D4×C11C2311yescharacteristic
283#67004—24no—
284#67000—21no—
285#67000C2311yescharacteristic
286#66999—21no—
287#66999—21no—
288#66999—21no—
289#66999C2311yescharacteristic
290#66999C2311yescharacteristic
291#66999C2311yescharacteristic
292Q8×Dic11C2311yescharacteristic
293Q8×Dic11C2311yescharacteristic
294#66997—21no—
295#66997—21no—
296#66997C2311yescharacteristic
297#66997C2311yescharacteristic
298C2×#4326C2311yescharacteristic
299C2×#4326C2311yescharacteristic
300C2×#4326C2311yescharacteristic
301C2×#4326C2311yescharacteristic
302C2×#4326C2311yescharacteristic
303C2×#4326C2311yescharacteristic
304C2×#4326C2311yescharacteristic
305C2×#4326C2311yescharacteristic
306C2×#4326C2311yescharacteristic
307C2×#4326C2311yescharacteristic
308#66995—24no—
309#66995—24no—
310#66995—24no—
311C2×#4325C2311yescharacteristic
312C2×#4325C2311yescharacteristic
313C2×#4325C2311yescharacteristic
314C2×#4325C2311yescharacteristic
315C2×#4325C2311yescharacteristic
316#66992—21no—
317#66992—21no—
318#66992D411yescharacteristic
319#66991—21no—
320#66991—21no—
321#66991—21no—
322#66991—21no—
323#66991C2311yescharacteristic
324#66990—21no—
325#66990D411yescharacteristic
326#66989—21no—
327#66989C2311yescharacteristic
328C2×#4324C2311yescharacteristic
329C2×#4324C2311yescharacteristic
330C2×#4323C2311yescharacteristic
331#66983—21no—
332#66983C2311yescharacteristic
333C4×C22⋊D11—21no—
334C4×C22⋊D11—21no—
335C4×C22⋊D11—21no—
336C4×C22⋊D11—21no—
337C4×C22⋊D11C2311yescharacteristic
338C4×C22⋊D11C2311yescharacteristic
339#66977—21no—
340#66977—21no—
341#66977—21no—
342#66977C2311yescharacteristic
343#66977C2311yescharacteristic
344#66977C2311yescharacteristic
345C2×#4318C2311yescharacteristic
346C2×#4318C2311yescharacteristic
347#66972—24no—
348#66972—24no—
349#66971—24no—
350#66971—24no—
351#66971—24no—
352#66971—24no—
353#66971D418yescomplemented
354Q16×D11—24no—
355Q16×D11—24no—
356Q16×D11—24no—
357Q16×D11—24no—
358Q16×D11—42no—
359#66969—42no—
360#66968—24no—
361#66968—24no—
362SD16×D11—24no—
363SD16×D11—24no—
364#66962—24no—
365M16×D11—24no—
366C2×Dic44C2311yescharacteristic
367C2×Dic44C2311yescharacteristic
368C2×Dic44C2311yescharacteristic
369C2×Dic44C2311yescharacteristic
370#66957—24no—
371C2×D88C2311yescharacteristic
372C2×#4314C2311yescharacteristic
373C2×#4314C2311yescharacteristic
374C2×#4314C2311yescharacteristic
375C2×#4314C2311yescharacteristic
376#66954—24no—
377C2×#4313C2311yescharacteristic
378C2×#4313C2311yescharacteristic
379C2×#4313C2311yescharacteristic
380C2×C8×D11C2311yescharacteristic
381C2×C8×D11C2311yescharacteristic
382C2×C8×D11C2311yescharacteristic
383C2×C8×D11C2311yescharacteristic
384C2×C8×D11C2311yescharacteristic
385#66950—21no—
386#66950—21no—
387#66950—21no—
388#66950C2311yescharacteristic
389#66950C2311yescharacteristic
390#66950C2311yescharacteristic
391#66949—21no—
392#66949—21no—
393#66949—21no—
394#66949—21no—
395#66949—21no—
396#66949—21no—
397#66949—21no—
398#66949—21no—
399#66949D411yescharacteristic
400#66948—21no—
401#66948C2311yescharacteristic
402#66947—21no—
403#66947—21no—
404#66947—21no—
405#66947—21no—
406#66947—21no—
407#66947D411yescharacteristic
408#66946—21no—
409#66946—21no—
410#66946—21no—
411#66946—21no—
412#66946C2311yescharacteristic
413#66945—21no—
414#66945C2311yescharacteristic
415C4⋊C4×D11—21no—
416C4⋊C4×D11—21no—
417C4⋊C4×D11—21no—
418C4⋊C4×D11—21no—
419C4⋊C4×D11C2311yescharacteristic
420#66941—21no—
421#66941—21no—
422#66941—21no—
423#66940—21no—
424#66940C2311yescharacteristic
425#66938—21no—
426#66938—21no—
427#66938—21no—
428#66937—21no—
429#66937—21no—
430#66937—21no—
431#66937—21no—
432#66937D411yescharacteristic
433#66936—21no—
434#66936—21no—
435#66936—21no—
436#66936—21no—
437#66936—21no—
438#66936—21no—
439#66936—21no—
440#66936—21no—
441#66936D411yescharacteristic
442#66935—21no—
443#66935—21no—
444#66935D411yescharacteristic
445(C22⋊D11)⋊C4—21no—
446(C22⋊D11)⋊C4—21no—
447(C22⋊D11)⋊C4—21no—
448C22⋊C4×D11—21no—
449C22⋊C4×D11—21no—
450C22⋊C4×D11—21no—
451#66931—21no—
452#66931—21no—
453#66931—21no—
454#66931—21no—
455#66931—21no—
456#66931D411yescharacteristic
457#66928—21no—
458#66928C2311yescharacteristic
459C4×D44—21no—
460C4×D44—21no—
461C4×D44—21no—
462C4×D44C2311yescharacteristic
463C4×D44C2311yescharacteristic
464#66925—21no—
465#66925—21no—
466#66925C2311yescharacteristic
467#66922—21no—
468#66922C2311yescharacteristic
469C4×Dic22—21no—
470C4×Dic22C2311yescharacteristic
471C11×#106C2311yescharacteristic
472C11×C4⋊C8C2311yescharacteristic
473C11×#103C2311yescharacteristic
474C11×#103C2311yescharacteristic
475C11×#103C2311yescharacteristic
476C11×#103C2311yescharacteristic
477C11×#103C2311yescharacteristic
478C11×#102C2311yescharacteristic
479C11×C22⋊C8C2311yescharacteristic
480C11×C22⋊C8C2311yescharacteristic
481C11×#97C2311yescharacteristic
482#66899C2311yescharacteristic
483#66899C2311yescharacteristic
484#66899C2311yescharacteristic
485#66899C2311yescharacteristic
486#66899C2311yescharacteristic
487#66896C2311yescharacteristic
488C22⋊(C11⋊C8)C2311yescharacteristic
489C22⋊(C11⋊C8)C2311yescharacteristic
490#66885C2311yescharacteristic
491#66885C2311yescharacteristic
492(C2×D11)⋊C8C2311yescharacteristic
493(C2×D11)⋊C8C2311yescharacteristic
494(C2×D11)⋊C8C2311yescharacteristic
495(C2×D11)⋊C8C2311yescharacteristic
496#66882C2311yescharacteristic
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#66873C2311yescharacteristic
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—41no—
520C2×Q8×C11—21no—
521C2×Q8×C11—21no—
522C2×Q8×C11—21no—
523C2×Q8×C11—22no—
524C2×Q8×C11—22no—
525C2×Q8×C11—22no—
526C2×Q8×C11—41no—
527C2×Q8×C11—41no—
528C2×Q8×C11—41no—
529C2×Q8×C11C2411yescharacteristic
530C2×Q8×C11C2411yescharacteristic
531C2×Q8×C11C2411yescharacteristic
532C2×Q8×C11C2411yescharacteristic
533C2×Q8×C11C2411yescharacteristic
534C2×D4×C11—21no—
535C2×D4×C11—21no—
536C2×D4×C11C2×D411yescharacteristic
537C2×D4×C11C2411yescharacteristic
538C22×C4×C11—21no—
539C22×C4×C11—21no—
540C22×C4×C11—21no—
541C22×C4×C11—21no—
542C22×C4×C11C2411yescharacteristic
543C22×C4×C11C2411yescharacteristic
544C2×C22⋊D11—21no—
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⋊D11C2×D411yescharacteristic
552C2×C22⋊D11C2×D411yescharacteristic
553C2×C22⋊D11C2×D411yescharacteristic
554C2×C22⋊D11C2×D411yescharacteristic
555C22×Dic11—21no—
556C22×Dic11—21no—
557C22×Dic11C2×D411yescharacteristic
558#4343—22no—
559#4343—22no—
560#4343—22no—
561#4343—22no—
562#4343—22no—
563#4343—41no—
564#4343—41no—
565#4343—44no—
566#4343—44no—
567#4343C2×D414yes—
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×D11—44no—
586Q8×D11—44no—
587Q8×D11C2×D414yes—
588#4341—22no—
589#4341—22no—
590#4341—44no—
591D4×D11—22no—
592D4×D11—41no—
593D4×D11—44no—
594#4339—22no—
595#4339—22no—
596#4339—22no—
597#4339—22no—
598#4339—22no—
599#4339—41no—
600#4339—41no—
601#4339—41no—
602#4339—44no—
603#4339—44no—
604#4339—44no—
605#4339—44no—
606#4339—44no—
607C2×D44—21no—
608C2×D44—21no—
609C2×D44—21no—
610C2×D44—21no—
611C2×D44—21no—
612C2×D44C2×D411yescharacteristic
613C2×D44C2×D411yescharacteristic
614C2×D44C2411yescharacteristic
615C2×D44C2411yescharacteristic
616C2×C4×D11—21no—
617C2×C4×D11—22no—
618C2×C4×D11—22no—
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—21no—
628C2×C4×D11—21no—
629C2×C4×D11—21no—
630C2×C4×D11—21no—
631C2×C4×D11—21no—
632C2×C4×D11—21no—
633C2×C4×D11—21no—
634C2×C4×D11—21no—
635C2×C4×D11—21no—
636C2×C4×D11—44no—
637C2×C4×D11—44no—
638C2×C4×D11C2×D411yescharacteristic
639C2×C4×D11C2×D411yescharacteristic
640C2×C4×D11C2411yescharacteristic
641C2×C4×D11C2411yescharacteristic
642C2×C4×D11C2411yescharacteristic
643C2×Dic22—21no—
644C2×Dic22—22no—
645C2×Dic22—21no—
646C2×Dic22—21no—
647C2×Dic22—21no—
648C2×Dic22—21no—
649C2×Dic22—21no—
650C2×Dic22—21no—
651C2×Dic22—21no—
652C2×Dic22—21no—
653C2×Dic22—41no—
654C2×Dic22—44no—
655C2×Dic22C2×D411yescharacteristic
656C2×Dic22C2411yescharacteristic
657C2×Dic22C2411yescharacteristic
658C2×Dic22C2411yescharacteristic
659C2×Dic22C2411yescharacteristic
660C11×Q16—22no—
661C11×Q16—22no—
662C11×Q16—22no—
663C11×Q16—22no—
664C11×Q16—41no—
665C11×Q16C2×D414yes—
666C11×SD16—22no—
667C11×SD16—22no—
668C11×SD16—41no—
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⋊C4—21no—
682C11×C4⋊C4C2×D411yescharacteristic
683C11×C4⋊C4C2411yescharacteristic
684C11×C4⋊C4C2411yescharacteristic
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×C11—21no—
695C42×C11C2411yescharacteristic
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#4325—22no—
717#4325—22no—
718#4325C2×D414yes—
719#4324—22no—
720#4324—22no—
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)⋊C4—21no—
736(C2×D11)⋊C4—21no—
737(C2×D11)⋊C4C2×D411yescharacteristic
738(C2×D11)⋊C4C2×D411yescharacteristic
739(C2×D11)⋊C4C2×D411yescharacteristic
740(C2×D11)⋊C4C2×D411yescharacteristic
741(C2×D11)⋊C4C2×D411yescharacteristic
742(C2×D11)⋊C4C2×D411yescharacteristic
743C4⋊Dic11—21no—
744C4⋊Dic11—21no—
745C4⋊Dic11—21no—
746C4⋊Dic11—21no—
747C4⋊Dic11—21no—
748C4⋊Dic11—21no—
749C4⋊Dic11—21no—
750C4⋊Dic11C2×D411yescharacteristic
751C4⋊Dic11C2411yescharacteristic
752C4⋊Dic11C2411yescharacteristic
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⋊C4—21no—
766Dic11⋊C4C2×D411yescharacteristic
767Dic11⋊C4C2×D411yescharacteristic
768Dic11⋊C4C2×D411yescharacteristic
769Dic11⋊C4C2×D411yescharacteristic
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—41no—
786D88—22no—
787#4314—22no—
788#4314—22no—
789#4314—41no—
790#4314C2×D414yes—
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#3270D1111yescharacteristic, complemented
815#3269—111no—
816#3269—111no—
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×C11C22×D411yescharacteristic
832C23×C11C22×D411yescharacteristic
833C22×D11—21no—
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—21no—
852Q8×C11—42no—
853Q8×C11—42no—
854Q8×C11—42no—
855Q8×C11C22×D412yes—
856Q8×C11C22×D412yes—
857D4×C11—21no—
858D4×C11—21no—
859D4×C11—41no—
860D4×C11—42no—
861D4×C11—81no—
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—21no—
873C2×C4×C11—42no—
874C2×C4×C11—42no—
875C2×C4×C11—42no—
876C2×C4×C11—42no—
877C2×C4×C11C22×D411yescharacteristic
878C2×C4×C11C22×D411yescharacteristic
879C2×C4×C11C22×D411yescharacteristic
880C2×C4×C11C22×D411yescharacteristic
881C2×C4×C11C2511yescharacteristic
882C22⋊D11—22no—
883C22⋊D11—22no—
884C22⋊D11—22no—
885C22⋊D11—41no—
886C22⋊D11—42no—
887C22⋊D11—42no—
888C22⋊D11—42no—
889C22⋊D11—42no—
890C22⋊D11—42no—
891C22⋊D11—42no—
892C22⋊D11—81no—
893C2×Dic11—21no—
894C2×Dic11—22no—
895C2×Dic11—21no—
896C2×Dic11—21no—
897C2×Dic11—21no—
898C2×Dic11—21no—
899C2×Dic11—21no—
900C2×Dic11—42no—
901C2×Dic11—42no—
902C2×Dic11C22×D411yescharacteristic
903C2×Dic11C22×D411yescharacteristic
904C2×Dic11C22×D411yescharacteristic
905C2×Dic11C22×D411yescharacteristic
906C2×Dic11C22×D411yescharacteristic
907D44—24no—
908D44—22no—
909D44—22no—
910D44—21no—
911D44—21no—
912D44—21no—
913D44—42no—
914D44—42no—
915D44—42no—
916D44—42no—
917D44C22×D412yes—
918C4×D11—22no—
919C4×D11—24no—
920C4×D11—21no—
921C4×D11—21no—
922C4×D11—21no—
923C4×D11—21no—
924C4×D11—22no—
925C4×D11—24no—
926C4×D11—42no—
927C4×D11—42no—
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—42no—
938C4×D11—42no—
939C4×D11—81no—
940C4×D11—81no—
941C4×D11—81no—
942C4×D11C22×D412yes—
943C4×D11H(5,𝔽2)12yes—
944Dic22—21no—
945Dic22—24no—
946Dic22—22no—
947Dic22—21no—
948Dic22—21no—
949Dic22—21no—
950Dic22—21no—
951Dic22—21no—
952Dic22—21no—
953Dic22—42no—
954Dic22—42no—
955Dic22—42no—
956Dic22—42no—
957Dic22—42no—
958Dic22—42no—
959Dic22—42no—
960Dic22—42no—
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×#135—111no—
993C22×Q16—111no—
994C22×Q16—111no—
995C22×Q16—111no—
996C22×Q16—111no—
997C22×Q16—111no—
998C22×Q16C2×D1111yescharacteristic, complemented
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—221no—
1009D4×Q8—221no—
1010D4×Q8C2×D1111yescharacteristic, complemented
1011#548—111no—
1012#548—111no—
1013#548—111no—
1014#548—111no—
1015#548—111no—
1016#548—221no—
1017#548—221no—
1018#548C2×D1111yescharacteristic
1019#547—111no—
1020#547—111no—
1021#547—221no—
1022#547—221no—
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#470C2×D1111yescharacteristic, complemented
1056#468—111no—
1057#468—111no—
1058#468—111no—
1059#468—111no—
1060#467—111no—
1061#467—111no—
1062#467—111no—
1063#467—111no—
1064#465—111no—
1065#465—111no—
1066#465—111no—
1067#465C2×D1111yescharacteristic, complemented
1068#464—111no—
1069#464—111no—
1070#464—111no—
1071#464—111no—
1072#464—111no—
1073#464C2×D1111yescharacteristic, complemented
1074#463—111no—
1075#463—111no—
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#452—111no—
1091#452C2×D1111yescharacteristic
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#451C2×D1111yescharacteristic, complemented
1106#451C2×D1111yescharacteristic, complemented
1107#450—111no—
1108#449—111no—
1109#449—111no—
1110#449—111no—
1111#449—111no—
1112#448—111no—
1113#448—111no—
1114#448C2×D1111yescharacteristic, complemented
1115#447—111no—
1116#441—111no—
1117#441C2×D1111yescharacteristic, complemented
1118#440—111no—
1119#440—111no—
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—21no—
1148C22×C11—21no—
1149C22×C11—41no—
1150C22×C11—41no—
1151C22×C11—41no—
1152C22×C11C23×D411yescharacteristic
1153C2×D11—21no—
1154C2×D11—21no—
1155C2×D11—21no—
1156C2×D11—21no—
1157C2×D11—21no—
1158C2×D11—22no—
1159C2×D11—21no—
1160C2×D11—21no—
1161C2×D11—44no—
1162C2×D11—41no—
1163C2×D11—41no—
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—22no—
1175C4×C11—21no—
1176C4×C11—41no—
1177C4×C11—41no—
1178C4×C11—41no—
1179C4×C11—41no—
1180C4×C11—41no—
1181C4×C11C23×D411yescharacteristic
1182C4×C11C2×H(5,𝔽2)11yescharacteristic
1183Dic11—21no—
1184Dic11—22no—
1185Dic11—21no—
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—111no—
1206C2×#41—111no—
1207C2×#41—221no—
1208C2×#41—221no—
1209C2×#41—221no—
1210C2×#41—221no—
1211C2×#41—221no—
1212C2×#41—221no—
1213C2×#41—221no—
1214C2×#41—221no—
1215C2×#41—224no—
1216C2×#41—442no—
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—221no—
1228C22×Q8—221no—
1229C22×Q8—221no—
1230C22×Q8—221no—
1231C22×Q8—221no—
1232C22×Q8—224no—
1233C22×Q8—442no—
1234C22×Q8C22×D1111yescharacteristic
1235C22×Q8C22×D1111yescharacteristic
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—224no—
1256#135—224no—
1257#135—224no—
1258#135—442no—
1259C2×Q16—24no—
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—224no—
1275C2×Q16—224no—
1276C2×Q16—224no—
1277C2×Q16—224no—
1278C2×Q16—442no—
1279C2×Q16C22×D1111yescharacteristic
1280C2×Q16C22×D1111yescharacteristic
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—111no—
1296C2×SD16—224no—
1297C2×SD16—224no—
1298C2×SD16C22×D1111yescharacteristic
1299C2×SD16C22×D1111yescharacteristic
1300C2×SD16C22×D1111yescharacteristic
1301C2×D8—111no—
1302C2×D8—111no—
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—21no—
1318C4⋊Q8—111no—
1319C4⋊Q8—111no—
1320C4⋊Q8—111no—
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—111no—
1340#123—111no—
1341#123—221no—
1342#123—221no—
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—21no—
1356C22⋊Q8—21no—
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—111no—
1367C22⋊Q8—111no—
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—111no—
1395#121—111no—
1396#121—111no—
1397#121—111no—
1398#121—111no—
1399#121—221no—
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—221no—
1422C4×Q8—221no—
1423C4×Q8C22×D1111yescharacteristic
1424C4×Q8C22×D1111yescharacteristic
1425C4×D4—21no—
1426C4×D4—21no—
1427C4×D4—111no—
1428C4×D4—111no—
1429C4×D4—111no—
1430C4×D4—111no—
1431C4×D4—111no—
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×D4—221no—
1446C4×D4C22×D1111yescharacteristic
1447#117—111no—
1448#117—111no—
1449#117—221no—
1450#117—221no—
1451#117—221no—
1452C2×C4⋊C4—111no—
1453C2×C4⋊C4—221no—
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#107—111no—
1462#106—111no—
1463#106C22×D1111yescharacteristic
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#103C22×D1111yescharacteristic
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#102—111no—
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—41no—
1506C2×C11—81no—
1507C2×C11C2×D4211yescharacteristic
1508C2×C11C2×#57811yescharacteristic
1509C2×C11#358611yescharacteristic
1510D11—22no—
1511D11—22no—
1512D11—41no—
1513D11—42no—
1514D11—81no—
1515C24—111no—
1516C24—221no—
1517#41—22no—
1518#41—41no—
1519#41—114no—
1520#41—222no—
1521#41—222no—
1522#41—222no—
1523#41—222no—
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—441no—
1533#41—441no—
1534#41—441no—
1535#41—444no—
1536#41—444no—
1537#41—444no—
1538#41—444no—
1539#41—444no—
1540#41—444no—
1541#41—441no—
1542#41—441no—
1543#41—444no—
1544#41—444no—
1545C2×Q8—21no—
1546C2×Q8—21no—
1547C2×Q8—21no—
1548C2×Q8—22no—
1549C2×Q8—22no—
1550C2×Q8—22no—
1551C2×Q8—41no—
1552C2×Q8—41no—
1553C2×Q8—41no—
1554C2×Q8—111no—
1555C2×Q8—114no—
1556C2×Q8—111no—
1557C2×Q8—111no—
1558C2×Q8—111no—
1559C2×Q8—111no—
1560C2×Q8—221no—
1561C2×Q8—221no—
1562C2×Q8—221no—
1563C2×Q8—221no—
1564C2×Q8—221no—
1565C2×Q8—221no—
1566C2×Q8—221no—
1567C2×Q8—221no—
1568C2×Q8—222no—
1569C2×Q8—222no—
1570C2×Q8—222no—
1571C2×Q8—222no—
1572C2×Q8—222no—
1573C2×Q8—222no—
1574C2×Q8—221no—
1575C2×Q8—222no—
1576C2×Q8—222no—
1577C2×Q8—222no—
1578C2×Q8—222no—
1579C2×Q8—222no—
1580C2×Q8—441no—
1581C2×Q8—444no—
1582C2×Q8—444no—
1583C2×Q8—441no—
1584C2×Q8—441no—
1585C2×Q8—441no—
1586C2×Q8—441no—
1587C2×Q8—441no—
1588C2×Q8—444no—
1589C2×Q8—444no—
1590C2×Q8—444no—
1591C2×Q8C23×D1111yescharacteristic
1592C2×Q8C23×D1111yescharacteristic
1593C2×Q8C23×D1111yescharacteristic
1594C2×Q8C23×D1111yescharacteristic
1595C2×Q8C23×D1111yescharacteristic
1596C2×D4—21no—
1597C2×D4—21no—
1598C2×D4—111no—
1599C2×D4—111no—
1600C2×D4—111no—
1601C2×D4—111no—
1602C2×D4—111no—
1603C2×D4—111no—
1604C2×D4—111no—
1605C2×D4—111no—
1606C2×D4—221no—
1607C2×D4—221no—
1608C2×D4—221no—
1609C2×D4—221no—
1610C2×D4—221no—
1611C2×D4—221no—
1612C2×D4—222no—
1613C2×D4—221no—
1614C2×D4—221no—
1615C2×D4—221no—
1616C2×D4—221no—
1617C2×D4—221no—
1618C2×D4—221no—
1619C2×D4—441no—
1620C2×D4—444no—
1621C2×D4D4×D1111yescharacteristic
1622C2×D4C23×D1111yescharacteristic
1623C22×C4—21no—
1624C22×C4—21no—
1625C22×C4—21no—
1626C22×C4—21no—
1627C22×C4—111no—
1628C22×C4—111no—
1629C22×C4—111no—
1630C22×C4—111no—
1631C22×C4—111no—
1632C22×C4—111no—
1633C22×C4—221no—
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—22no—
1663Q16—41no—
1664Q16—114no—
1665Q16—222no—
1666Q16—222no—
1667Q16—222no—
1668Q16—222no—
1669Q16—222no—
1670Q16—222no—
1671Q16—222no—
1672Q16—222no—
1673Q16—222no—
1674Q16—441no—
1675Q16—441no—
1676Q16—441no—
1677Q16—441no—
1678Q16D4×D1114yes—
1679SD16—22no—
1680SD16—22no—
1681SD16—41no—
1682SD16—114no—
1683SD16—114no—
1684SD16—222no—
1685SD16—222no—
1686SD16—222no—
1687SD16—222no—
1688SD16—222no—
1689SD16—222no—
1690SD16—222no—
1691SD16—222no—
1692SD16—441no—
1693D8—222no—
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—21no—
1722C4⋊C4—111no—
1723C4⋊C4—111no—
1724C4⋊C4—111no—
1725C4⋊C4—111no—
1726C4⋊C4—111no—
1727C4⋊C4—111no—
1728C4⋊C4—111no—
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—111no—
1759C22⋊C4—111no—
1760C22⋊C4—111no—
1761C22⋊C4—111no—
1762C22⋊C4—111no—
1763C22⋊C4—111no—
1764C22⋊C4—111no—
1765C22⋊C4—111no—
1766C22⋊C4—221no—
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—21no—
1791C42—111no—
1792C42—221no—
1793C42—221no—
1794C42—221no—
1795C42—221no—
1796C42—221no—
1797C42C23×D1111yescharacteristic
1798C11#6107611yescharacteristic, complemented, Sylow
1799C23—21no—
1800C23—111no—
1801C23—111no—
1802C23—111no—
1803C23—222no—
1804C23—222no—
1805C23—221no—
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—21no—
1821Q8—42no—
1822Q8—42no—
1823Q8—42no—
1824Q8—112no—
1825Q8—224no—
1826Q8—222no—
1827Q8—221no—
1828Q8—221no—
1829Q8—221no—
1830Q8—221no—
1831Q8—221no—
1832Q8—221no—
1833Q8—221no—
1834Q8—442no—
1835Q8—442no—
1836Q8—442no—
1837Q8—442no—
1838Q8—442no—
1839Q8—442no—
1840Q8—442no—
1841Q8—442no—
1842Q8C2×D4×D1112yes—
1843Q8C2×D4×D1112yes—
1844D4—21no—
1845D4—21no—
1846D4—41no—
1847D4—42no—
1848D4—81no—
1849D4—112no—
1850D4—222no—
1851D4—222no—
1852D4—224no—
1853D4—222no—
1854D4—222no—
1855D4—222no—
1856D4—221no—
1857D4—221no—
1858D4—221no—
1859D4—442no—
1860D4—442no—
1861D4—442no—
1862D4—442no—
1863D4—441no—
1864D4—442no—
1865D4—442no—
1866D4—442no—
1867D4—442no—
1868D4—442no—
1869D4—442no—
1870D4—881no—
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—21no—
1882C2×C4—42no—
1883C2×C4—42no—
1884C2×C4—42no—
1885C2×C4—42no—
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—224no—
1895C2×C4—222no—
1896C2×C4—224no—
1897C2×C4—222no—
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—442no—
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—881no—
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—21no—
1944C22—21no—
1945C22—41no—
1946C22—41no—
1947C22—41no—
1948C22—112no—
1949C22—112no—
1950C22—221no—
1951C22—221no—
1952C22—221no—
1953C22—221no—
1954C22—221no—
1955C22—221no—
1956C22—222no—
1957C22—221no—
1958C22—444no—
1959C22—441no—
1960C22—441no—
1961C22—441no—
1962C22—441no—
1963C22—441no—
1964C22—884no—
1965C22C22×D4×D1111yescharacteristic
1966C4—21no—
1967C4—21no—
1968C4—21no—
1969C4—22no—
1970C4—22no—
1971C4—21no—
1972C4—41no—
1973C4—41no—
1974C4—41no—
1975C4—41no—
1976C4—41no—
1977C4—112no—
1978C4—221no—
1979C4—221no—
1980C4—221no—
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—81no—
1993C2—222no—
1994C2—222no—
1995C2—441no—
1996C2—442no—
1997C2—881no—
1998C2D42×D1111yescharacteristic
1999C2D11×#57811yescharacteristic
2000C2#1308339911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3270C2
socleC22×C11C23×D4
hypercenter#3270D11
hypocenterC11#61076
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3270

Complements

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

NH ≅ G/Ntype
1. C2×#10623297C2semidirect
2. C2×D11×#137C2semidirect
3. #13082295C2semidirect
4. #13082266C2semidirect
5. #13080363C2semidirect
6. Q16×C22⋊D11C2semidirect
7. #13080330C2semidirect
8. #13080318C2semidirect
9. #13080269C2semidirect
10. #13080267C2semidirect
11. #13080262C2semidirect
12. #13080259C2semidirect
13. #13080189C2semidirect
14. #13080188C2semidirect
15. #13080184C2semidirect
16. #13080176C2semidirect
17. #13080174C2semidirect
18. #13080129C2semidirect
19. #13080125C2semidirect
20. #13079108C2semidirect
21. #13078300C2semidirect
22. #13078245C2semidirect
23. #13078163C2semidirect
24. #13078144C2semidirect
25. #13077926C2semidirect
26. #13077906C2semidirect
27. #13077837C2semidirect
28. D11×#451C2semidirect
29. #13077458C2semidirect
30. #13077339C2semidirect
31. C11×#3270C2semidirect
34. C2×#67040C22semidirect
37. C22×C11×Q16C22semidirect
38. D4×Q8×C11C22semidirect
42. #10623348C22semidirect
46. C2×#66995C22semidirect
47. C2×#66995C22semidirect
51. C2×#66972C22semidirect
54. C2×#66971C22semidirect
55. C2×#66971C22semidirect
56. C2×#66971C22semidirect
59. C2×Q16×D11C22semidirect
60. C2×Q16×D11C22semidirect
61. C2×Q16×D11C22semidirect
69. C2×#66957C22semidirect
70. C2×#66954C22semidirect
74. #10623255C22semidirect
82. #10623163C22semidirect
86. #10623159C22semidirect
98. #10623103C22semidirect
100. #10623083C22semidirect
106. C11×#497C22semidirect
107. C11×#470C22semidirect
108. C11×#465C22semidirect
109. C11×#464C22semidirect
110. C11×#462C22semidirect
112. C11×#451C22semidirect
113. C11×#451C22semidirect
114. C11×#448C22semidirect
115. C11×#441C22semidirect
116. C11×#435C22semidirect
118. #10622841C22semidirect
119. #10622841C22semidirect
120. #10622841C22semidirect
121. #10622803C22semidirect
123. #10622800C22semidirect
127. #10622799C22semidirect
128. #10622798C22semidirect
129. Q16×Dic11C22semidirect
130. #10622795C22semidirect
131. #10622795C22semidirect
132. #10622794C22semidirect
133. #10622787C22semidirect
134. #10622785C22semidirect
135. #10622783C22semidirect
137. #10622781C22semidirect
138. #10622780C22semidirect
139. #10622779C22semidirect
140. #10622747C22semidirect
141. #10622741C22semidirect
142. #10622729C22semidirect
144. #10622705C22semidirect
145. #10622696C22semidirect
146. #10622672C22semidirect
147. #10622667C22semidirect
148. #10622665C22semidirect
149. #10622665C22semidirect
150. #10622663C22semidirect
151. #10622662C22semidirect
153. #10622660C22semidirect
154. #10622655C22semidirect
155. #10622650C22semidirect
156. #10622644C22semidirect
157. C4×#4326C22semidirect
158. #10622641C22semidirect
159. C4×#4325C22semidirect
160. #10622625C22semidirect
161. #10622481C22semidirect
163. #10622474C22semidirect
164. #10622465C22semidirect
165. #10622462C22semidirect
166. #10622457C22semidirect
167. #10622452C22semidirect
169. #10622432C22semidirect
170. #10622431C22semidirect
171. #10622430C22semidirect
173. #10622426C22semidirect
174. #10622423C22semidirect
175. #10622423C22semidirect
178. #10622421C22semidirect
179. #10622421C22semidirect
183. #10622416C22semidirect
184. #10622415C22semidirect
185. D11×#103C22semidirect
186. D11×#103C22semidirect
187. #10622406C22semidirect
188. #10622402C22semidirect
189. #10622391C22semidirect
192. #10622380C22semidirect
193. #10622352C22semidirect
195. #10622346C22semidirect
196. #10622346C22semidirect
198. #10622341C22semidirect
199. #10622340C22semidirect
201. #10622328C22semidirect
202. #10622323C22semidirect
203. #10622321C22semidirect
353. #66971D4semidirect
814. #3270D11semidirect
998. C22×Q16C2×D11semidirect
1010. D4×Q8C2×D11semidirect
1047. #497C2×D11semidirect
1055. #470C2×D11semidirect
1067. #465C2×D11semidirect
1073. #464C2×D11semidirect
1081. #462C2×D11semidirect
1105. #451C2×D11semidirect
1106. #451C2×D11semidirect
1114. #448C2×D11semidirect
1117. #441C2×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×#106232972
C2×D11×#1372
#130822952
#130822662
#130803632
Q16×C22⋊D112
#130803302
#130803182
#130802692
#130802672
#130802622
#130802592
#130801892
#130801882
#130801842
#130801762
#130801742
#130801292
#130801252
#130791082
#130783002
#130782452
#130781632
#130781442
#130779262
#130779062
#130778372
D11×#4512
#130774582
#130773392
C11×#32702
#6107611