Finite Group Databasebeta

← #15629589

Subgroups — #15629589

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×#10623310C211yesmaximal, characteristic, complemented
2C2×D11×#137C211yesmaximal, characteristic, complemented
3#13082290C211yesmaximal, characteristic, complemented
4#13082266C211yesmaximal, characteristic, complemented
5#13080366C211yesmaximal, characteristic, complemented
6#13080361C211yesmaximal, characteristic, complemented
7#13080325C211yesmaximal, characteristic, complemented
8#13080321C211yesmaximal, characteristic, complemented
9#13080274C211yesmaximal, characteristic, complemented
10#13080273C211yesmaximal, characteristic, complemented
11#13080260C211yesmaximal, characteristic, complemented
12#13080193C211yesmaximal, characteristic, complemented
13#13080193C211yesmaximal, characteristic, complemented
14#13080192C211yesmaximal, characteristic, complemented
15#13080187C211yesmaximal, characteristic, complemented
16#13080167C211yesmaximal, characteristic, complemented
17#13080165C211yesmaximal, characteristic, complemented
18#13080132C211yesmaximal, characteristic, complemented
19#13080120C211yesmaximal, characteristic, complemented
20#13079104C211yesmaximal, characteristic, complemented
21#13078304C211yesmaximal, characteristic, complemented
22#13078245C211yesmaximal, characteristic, complemented
23#13078161C211yesmaximal, characteristic, complemented
24#13078141C211yesmaximal, characteristic, complemented
25#13077932C211yesmaximal, characteristic, complemented
26#13077908C211yesmaximal, characteristic, complemented
27#13077837C211yesmaximal, characteristic, complemented
28D11×#451C211yesmaximal, characteristic, complemented
29#13077452C211yesmaximal, characteristic, complemented
30#13077345C211yesmaximal, characteristic, complemented
31C11×#3276C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic
34C2×#67040C2211yescharacteristic, complemented
35C22×Q8×D11C2211yescharacteristic
36C2×C11×#137C2211yescharacteristic
37C2×C11×#137C2211yescharacteristic, complemented
38D4×Q8×C11C2211yescharacteristic, complemented
39C11×#547C2211yescharacteristic
40#10623360C2211yescharacteristic
41#10623355C2211yescharacteristic
42C2×#67004C2211yescharacteristic
43C2×#67003C2211yescharacteristic, complemented
44#10623348C2211yescharacteristic, complemented
45Q8×C22⋊D11C2211yescharacteristic
46C22×#4326C2211yescharacteristic, complemented
47C2×#66995C2211yescharacteristic
48#10623310—28no—
49D11×#137—28no—
50C2×#66972C2211yescharacteristic
51C2×#66971C2211yescharacteristic
52C2×#66971C2211yescharacteristic
53C2×#66971C2211yescharacteristic, complemented
54C2×#66971C2211yescharacteristic, complemented
55C2×Q16×D11C2211yescharacteristic
56C2×Q16×D11C2211yescharacteristic
57C2×Q16×D11C2211yescharacteristic, complemented
58C2×Q16×D11C2211yescharacteristic, complemented
59C2×Q16×D11C2211yescharacteristic, complemented
60C2×#66969C2211yescharacteristic
61C2×#66969C2211yescharacteristic, complemented
62C2×#66968C2211yescharacteristic
63C2×#66968C2211yescharacteristic
64C2×#66968C2211yescharacteristic, complemented
65C2×SD16×D11C2211yescharacteristic
66C2×SD16×D11C2211yescharacteristic
67C2×#66962C2211yescharacteristic
68C2×#66962C2211yescharacteristic, complemented
69C2×#66960C2211yescharacteristic, complemented
70C2×M16×D11C2211yescharacteristic
71#10623258—21no—
72#10623258C2211yescharacteristic
73#10623258C2211yescharacteristic
74#10623255—21no—
75#10623255C2211yescharacteristic
76#10623255C2211yescharacteristic, complemented
77#10623187—21no—
78#10623186—21no—
79#10623185—21no—
80#10623179—21no—
81#10623164—21no—
82#10623164C2211yescharacteristic
83#10623164C2211yescharacteristic
84#10623163—21no—
85#10623163C2211yescharacteristic
86#10623163C2211yescharacteristic, complemented
87#10623160C2211yescharacteristic
88#10623159—21no—
89#10623159C2211yescharacteristic, complemented
90#10623158—21no—
91#10623158C2211yescharacteristic
92D11×C22⋊Q8C2211yescharacteristic
93#10623141—21no—
94#10623128—21no—
95#10623107C2211yescharacteristic
96#10623103C2211yescharacteristic, complemented
97#10623085C2211yescharacteristic
98#10623083—21no—
99#10623083C2211yescharacteristic
100#10623083C2211yescharacteristic, complemented
101#10623078—21no—
102#10623078C2211yescharacteristic
103#10623077C2211yescharacteristic
104C2×#66949—21no—
105#10623038—21no—
106C11×#494C2211yescharacteristic, complemented
107C11×#470C2211yescharacteristic, complemented
108C11×#470C2211yescharacteristic, complemented
109C11×#462C2211yescharacteristic, complemented
110C11×#461C2211yescharacteristic, complemented
111C11×#452C2211yescharacteristic
112C11×#452C2211yescharacteristic, complemented
113C11×#451C2211yescharacteristic, complemented
114C11×#451C2211yescharacteristic, complemented
115C4×C11×SD16C2211yescharacteristic, complemented
116C11×#436C2211yescharacteristic, complemented
117#10622852C2211yescharacteristic, complemented
118#10622851C2211yescharacteristic
119#10622841C2211yescharacteristic, complemented
120#10622840C2211yescharacteristic, complemented
121#10622804C2211yescharacteristic, complemented
122#10622803C2211yescharacteristic, complemented
123#10622803C2211yescharacteristic, complemented
124#10622801C2211yescharacteristic
125#10622801C2211yescharacteristic, complemented
126#10622800C2211yescharacteristic, complemented
127#10622799C2211yescharacteristic
128#10622799C2211yescharacteristic
129#10622799C2211yescharacteristic
130#10622799C2211yescharacteristic, complemented
131#10622799C2211yescharacteristic, complemented
132#10622798C2211yescharacteristic, complemented
133#10622795C2211yescharacteristic, complemented
134#10622794C2211yescharacteristic, complemented
135#10622786C2211yescharacteristic, complemented
136#10622782C2211yescharacteristic
137#10622778C2211yescharacteristic, complemented
138#10622777C2211yescharacteristic, complemented
139#10622775C2211yescharacteristic, complemented
140#10622747C2211yescharacteristic, complemented
141#10622747C2211yescharacteristic, complemented
142#10622740C2211yescharacteristic
143#10622740C2211yescharacteristic, complemented
144#10622703C2211yescharacteristic, complemented
145#10622703C2211yescharacteristic, complemented
146#10622699C2211yescharacteristic, complemented
147#10622699C2211yescharacteristic, complemented
148#10622665C2211yescharacteristic, complemented
149#10622664C2211yescharacteristic, complemented
150#10622663C2211yescharacteristic, complemented
151#10622663C2211yescharacteristic, complemented
152#10622662C2211yescharacteristic, complemented
153#10622661C2211yescharacteristic, complemented
154#10622660C2211yescharacteristic
155#10622660C2211yescharacteristic, complemented
156#10622643C2211yescharacteristic, complemented
157#10622641C2211yescharacteristic, complemented
158#10622631C2211yescharacteristic, complemented
159#10622629C2211yescharacteristic, complemented
160#10622624C2211yescharacteristic, complemented
161#10622477C2211yescharacteristic
162#10622477C2211yescharacteristic, complemented
163#10622474C2211yescharacteristic, complemented
164#10622466C2211yescharacteristic, complemented
165#10622458C2211yescharacteristic, complemented
166#10622458C2211yescharacteristic, complemented
167#10622452C2211yescharacteristic, complemented
168#10622449C2211yescharacteristic
169#10622429C2211yescharacteristic, complemented
170#10622426C2211yescharacteristic
171#10622425C2211yescharacteristic, complemented
172#10622424C2211yescharacteristic, complemented
173#10622421C2211yescharacteristic
174#10622421C2211yescharacteristic
175#10622421C2211yescharacteristic, complemented
176#10622420C2211yescharacteristic
177#10622419C2211yescharacteristic
178#10622419C2211yescharacteristic, complemented
179#10622417C2211yescharacteristic
180#10622416C2211yescharacteristic, complemented
181#10622415C2211yescharacteristic, complemented
182D11×#103C2211yescharacteristic, complemented
183D11×#103C2211yescharacteristic, complemented
184#10622411C2211yescharacteristic, complemented
185#10622411C2211yescharacteristic, complemented
186#10622406C2211yescharacteristic, complemented
187#10622406C2211yescharacteristic, complemented
188#10622403C2211yescharacteristic, complemented
189#10622396C2211yescharacteristic, complemented
190#10622386C2211yescharacteristic
191#10622385C2211yescharacteristic
192#10622371C2211yescharacteristic, complemented
193#10622352C2211yescharacteristic, complemented
194#10622352C2211yescharacteristic, complemented
195#10622347C2211yescharacteristic
196#10622347C2211yescharacteristic, complemented
197#10622342C2211yescharacteristic, complemented
198#10622340C2211yescharacteristic, complemented
199(C22⋊D11)⋊C8C2211yescharacteristic
200D11×C22⋊C8C2211yescharacteristic
201C4×Dic44C2211yescharacteristic, complemented
202#10622309C2211yescharacteristic, complemented
203#10622302C2211yescharacteristic, complemented
204C8×D44C2211yescharacteristic
205C2×C11×#41C2311yescharacteristic
206C2×C11×#41C2311yescharacteristic
207C22×Q8×C11C2311yescharacteristic
208C22×Q8×C11C2311yescharacteristic
209#67043—24no—
210#67043—42no—
211#41×D11—24no—
212#41×D11—42no—
213#67040—24no—
214#67040—42no—
215C2×#4343—21no—
216C2×#4343C2311yescharacteristic
217C2×#4343C2311yescharacteristic
218C2×#4343C2311yescharacteristic
219C2×Q8×D11—21no—
220C2×Q8×D11—21no—
221C2×Q8×D11—21no—
222C2×Q8×D11—24no—
223C2×Q8×D11—42no—
224C2×Q8×D11C2311yescharacteristic
225C2×Q8×D11C2311yescharacteristic
226C2×Q8×D11C2311yescharacteristic
227C2×Q8×D11C2311yescharacteristic
228C2×Q8×D11C2311yescharacteristic
229C2×Q8×D11C2311yescharacteristic
230C2×Q8×D11C2311yescharacteristic
231C2×Q8×D11C2311yescharacteristic
232C2×#4341—21no—
233C2×#4341—21no—
234C2×#4341—21no—
235C2×#4341C2311yescharacteristic
236C2×#4341C2311yescharacteristic
237C2×D4×D11—21no—
238C2×D4×D11C2311yescharacteristic
239C2×#4339—21no—
240C2×#4339—21no—
241C2×#4339—21no—
242C2×#4339—21no—
243C2×#4339C2311yescharacteristic
244C2×#4339C2311yescharacteristic
245C2×#4339C2311yescharacteristic
246C22×C4×D11—21no—
247C22×C4×D11—21no—
248C22×C4×D11C2311yescharacteristic
249C22×Dic22—21no—
250C22×Dic22—21no—
251C22×Dic22C2311yescharacteristic
252C22×Dic22C2311yescharacteristic
253C11×#137—24no—
254C11×#137—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
265C2×C11×M16C2311yescharacteristic
266C11×C4⋊Q8—21no—
267C11×C4⋊Q8C2311yescharacteristic
268C11×C4⋊Q8C2311yescharacteristic
269C11×#123—21no—
270C11×#123—21no—
271C11×C22⋊Q8—21no—
272C11×C22⋊Q8—21no—
273C11×C22⋊Q8C2311yescharacteristic
274C11×C22⋊Q8C2311yescharacteristic
275C11×C22⋊Q8C2311yescharacteristic
276C11×C22⋊Q8C2311yescharacteristic
277C11×#121—21no—
278C4×Q8×C11C2311yescharacteristic
279C4×D4×C11—21no—
280C4×D4×C11C2311yescharacteristic
281C4×D4×C11C2311yescharacteristic
282C2×C11×C4⋊C4—21no—
283#67004—24no—
284#67003—24no—
285#67000—21no—
286#67000C2311yescharacteristic
287#67000C2311yescharacteristic
288#66999—21no—
289#66999—21no—
290#66999C2311yescharacteristic
291#66999C2311yescharacteristic
292#66999C2311yescharacteristic
293#66999C2311yescharacteristic
294Q8×Dic11C2311yescharacteristic
295#66997—21no—
296#66997C2311yescharacteristic
297#66997C2311yescharacteristic
298C2×#4326—24no—
299C2×#4326C2311yescharacteristic
300C2×#4326C2311yescharacteristic
301C2×#4326C2311yescharacteristic
302C2×#4326C2311yescharacteristic
303C2×#4326C2311yescharacteristic
304C2×#4326C2311yescharacteristic
305C2×#4326C2311yescharacteristic
306C2×#4326C2311yescharacteristic
307C2×#4326C2311yescharacteristic
308C2×#4326C2311yescharacteristic
309#66995—24no—
310C2×#4325C2311yescharacteristic
311C2×#4325C2311yescharacteristic
312C2×#4325C2311yescharacteristic
313C2×#4325C2311yescharacteristic
314C2×#4325C2311yescharacteristic
315#66992—21no—
316#66992—21no—
317#66992—21no—
318#66992—21no—
319#66992D411yescharacteristic
320#66990—21no—
321#66990D411yescharacteristic
322#66988—21no—
323D4×Dic11C2311yescharacteristic
324C2×#4324C2311yescharacteristic
325C2×#4324C2311yescharacteristic
326C2×#4323C2311yescharacteristic
327#66983—21no—
328#66983—21no—
329#66983C2311yescharacteristic
330#66983C2311yescharacteristic
331#66982—21no—
332#66982—21no—
333C4×C22⋊D11—21no—
334C4×C22⋊D11—21no—
335C4×C22⋊D11—21no—
336C4×C22⋊D11C2311yescharacteristic
337C4×C22⋊D11C2311yescharacteristic
338C2×(C2×D11)⋊C4—21no—
339C2×(C2×D11)⋊C4—21no—
340#66977—21no—
341#66977C2311yescharacteristic
342#66977C2311yescharacteristic
343C2×Dic11⋊C4—21no—
344C2×Dic11⋊C4—21no—
345C2×#4318C2311yescharacteristic
346C22×C11⋊C8C2311yescharacteristic
347#66972—42no—
348#66971—24no—
349#66971—24no—
350#66971—24no—
351#66971—24no—
352Q16×D11—24no—
353Q16×D11—24no—
354Q16×D11—24no—
355Q16×D11—24no—
356Q16×D11—42no—
357#66969—24no—
358#66969—24no—
359#66968—24no—
360#66968—24no—
361#66968D418yescomplemented
362SD16×D11—24no—
363SD16×D11—24no—
364#66962—24no—
365#66962—24no—
366#66960—24no—
367M16×D11—24no—
368C2×Dic44C2311yescharacteristic
369C2×Dic44C2311yescharacteristic
370C2×Dic44C2311yescharacteristic
371C2×Dic44C2311yescharacteristic
372C2×D88C2311yescharacteristic
373C2×#4314C2311yescharacteristic
374C2×#4314C2311yescharacteristic
375C2×#4314C2311yescharacteristic
376C2×#4314C2311yescharacteristic
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#66950C2311yescharacteristic
387#66950C2311yescharacteristic
388#66949—21no—
389#66949—21no—
390#66949—21no—
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#66949—21no—
400#66949—21no—
401#66949—21no—
402#66949—21no—
403#66949—21no—
404#66949D411yescharacteristic
405#66948—21no—
406#66948—21no—
407#66948C2311yescharacteristic
408#66948C2311yescharacteristic
409#66947—21no—
410#66947—21no—
411#66947—21no—
412#66947—21no—
413#66947—21no—
414#66947—21no—
415#66947D411yescharacteristic
416#66946—21no—
417#66946—21no—
418#66946—21no—
419#66946—21no—
420#66946—21no—
421#66945—21no—
422#66945C2311yescharacteristic
423C4⋊C4×D11—21no—
424C4⋊C4×D11C2311yescharacteristic
425#66941—21no—
426#66941—21no—
427#66941—21no—
428#66941—21no—
429#66941—21no—
430#66940—21no—
431#66940C2311yescharacteristic
432#66940C2311yescharacteristic
433#66939—21no—
434#66938—21no—
435#66938—21no—
436#66938—21no—
437#66938—21no—
438#66938—21no—
439#66937—21no—
440#66937—21no—
441#66937—21no—
442#66937—21no—
443#66937D411yescharacteristic
444#66936—21no—
445#66936D411yescharacteristic
446#66935—21no—
447#66935—21no—
448#66935D411yescharacteristic
449(C22⋊D11)⋊C4—21no—
450(C22⋊D11)⋊C4—21no—
451(C22⋊D11)⋊C4—21no—
452(C22⋊D11)⋊C4—21no—
453(C22⋊D11)⋊C4—21no—
454(C22⋊D11)⋊C4—21no—
455C22⋊C4×D11—21no—
456#66931—21no—
457#66931—21no—
458#66931—21no—
459#66931D411yescharacteristic
460#66930—21no—
461#66928—21no—
462#66928C2311yescharacteristic
463#66928C2311yescharacteristic
464C4×D44—21no—
465C4×D44C2311yescharacteristic
466#66925—21no—
467#66925C2311yescharacteristic
468C4×Dic22—21no—
469C4×Dic22C2311yescharacteristic
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
481C4×C8×C11C2311yescharacteristic
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
514#66867C2311yescharacteristic
515#61076—111nomaximal, Sylow
516C23×D11—21no—
517C23×D11C2×D411yescharacteristic
518C11×#41—22no—
519C11×#41—22no—
520C11×#41—41no—
521C11×#41—41no—
522C2×Q8×C11—21no—
523C2×Q8×C11—21no—
524C2×Q8×C11—22no—
525C2×Q8×C11—22no—
526C2×Q8×C11—41no—
527C2×Q8×C11—41no—
528C2×Q8×C11C2411yescharacteristic
529C2×Q8×C11C2411yescharacteristic
530C2×Q8×C11C2411yescharacteristic
531C2×Q8×C11C2411yescharacteristic
532C2×Q8×C11C2411yescharacteristic
533C2×D4×C11—21no—
534C2×D4×C11—21no—
535C2×D4×C11C2×D411yescharacteristic
536C2×D4×C11C2411yescharacteristic
537C22×C4×C11—21no—
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×Dic11—21no—
558C22×Dic11—21no—
559C22×Dic11—21no—
560C22×Dic11C2×D411yescharacteristic
561#4343—22no—
562#4343—22no—
563#4343—22no—
564#4343—22no—
565#4343—22no—
566#4343—41no—
567#4343—44no—
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×D11C2×D414yes—
587#4341—22no—
588#4341—22no—
589#4341—41no—
590#4341—44no—
591#4341—44no—
592#4341—44no—
593#4341C2×D414yes—
594D4×D11—22no—
595D4×D11—41no—
596D4×D11—44no—
597#4339—22no—
598#4339—22no—
599#4339—22no—
600#4339—22no—
601#4339—41no—
602#4339—41no—
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—22no—
617C2×C4×D11—22no—
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—21no—
628C2×C4×D11—21no—
629C2×C4×D11—21no—
630C2×C4×D11—21no—
631C2×C4×D11—21no—
632C2×C4×D11—44no—
633C2×C4×D11—44no—
634C2×C4×D11C2×D411yescharacteristic
635C2×C4×D11C2×D411yescharacteristic
636C2×C4×D11C2411yescharacteristic
637C2×C4×D11C2411yescharacteristic
638C2×C4×D11C2411yescharacteristic
639C2×Dic22—21no—
640C2×Dic22—22no—
641C2×Dic22—22no—
642C2×Dic22—21no—
643C2×Dic22—21no—
644C2×Dic22—21no—
645C2×Dic22—21no—
646C2×Dic22—21no—
647C2×Dic22—21no—
648C2×Dic22—21no—
649C2×Dic22—21no—
650C2×Dic22—21no—
651C2×Dic22—41no—
652C2×Dic22—41no—
653C2×Dic22—44no—
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×Q16—41no—
666C11×SD16—22no—
667C11×SD16—22no—
668C11×SD16C2×D414yes—
669C11×M16—22no—
670C11×M16—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⋊C4—21no—
683C11×C4⋊C4—21no—
684C11×C4⋊C4C2×D411yescharacteristic
685C11×C4⋊C4C2411yescharacteristic
686C11×C4⋊C4C2411yescharacteristic
687C11×C22⋊C4—21no—
688C11×C22⋊C4—21no—
689C11×C22⋊C4—21no—
690C11×C22⋊C4—21no—
691C11×C22⋊C4—21no—
692C11×C22⋊C4C2×D411yescharacteristic
693C11×C22⋊C4C2×D411yescharacteristic
694C42×C11—21no—
695C42×C11C2411yescharacteristic
696C22⋊Dic11—21no—
697C22⋊Dic11—21no—
698C22⋊Dic11—21no—
699C22⋊Dic11C2×D411yescharacteristic
700C22⋊Dic11C2×D411yescharacteristic
701#4326—22no—
702#4326—22no—
703#4326—22no—
704#4326—22no—
705#4326—22no—
706#4326—22no—
707#4326—22no—
708#4326—41no—
709#4326—41no—
710#4326C2×D414yes—
711#4325—22no—
712#4325—22no—
713#4325—22no—
714#4325—41no—
715#4325—41no—
716#4324—22no—
717#4324C2×D414yes—
718#4323—22no—
719(C2×D11)⋊C4—21no—
720(C2×D11)⋊C4—21no—
721(C2×D11)⋊C4—21no—
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)⋊C4—21no—
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
743(C2×D11)⋊C4C2×D411yescharacteristic
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—
777C2×C11⋊C8—22no—
778C2×C11⋊C8C2411yescharacteristic
779C2×C11⋊C8C2411yescharacteristic
780C2×C11⋊C8C2411yescharacteristic
781C2×C11⋊C8C2411yescharacteristic
782Dic44—22no—
783Dic44—22no—
784Dic44—41no—
785Dic44C2×D414yes—
786D88—41no—
787#4314—22no—
788#4314—22no—
789#4314—22no—
790#4314—22no—
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#3276D1111yescharacteristic, complemented
811#3270—111no—
812#3270—111no—
813#3270—111no—
814#3270—111no—
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—22no—
834C22×D11—22no—
835C22×D11—21no—
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—21no—
853Q8×C11—42no—
854Q8×C11—42no—
855Q8×C11C22×D412yes—
856D4×C11—21no—
857D4×C11—41no—
858D4×C11—42no—
859D4×C11—42no—
860D4×C11C22×D412yes—
861C2×C4×C11—21no—
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—81no—
893C2×Dic11—21no—
894C2×Dic11—21no—
895C2×Dic11—22no—
896C2×Dic11—24no—
897C2×Dic11—21no—
898C2×Dic11—21no—
899C2×Dic11—21no—
900C2×Dic11—21no—
901C2×Dic11—42no—
902C2×Dic11—42no—
903C2×Dic11—42no—
904C2×Dic11—81no—
905C2×Dic11C22×D411yescharacteristic
906C2×Dic11C22×D411yescharacteristic
907C2×Dic11C22×D411yescharacteristic
908C2×Dic11C22×D411yescharacteristic
909C2×Dic11C22×D411yescharacteristic
910D44—22no—
911D44—22no—
912D44—21no—
913D44—21no—
914D44—21no—
915D44—21no—
916D44—42no—
917D44—42no—
918D44—42no—
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—42no—
938C4×D11—42no—
939C4×D11—42no—
940C4×D11—81no—
941C4×D11C22×D412yes—
942C4×D11H(5,𝔽2)12yes—
943Dic22—21no—
944Dic22—21no—
945Dic22—24no—
946Dic22—22no—
947Dic22—21no—
948Dic22—21no—
949Dic22—21no—
950Dic22—21no—
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—228no—
987C2×#137C2×D1111yescharacteristic
988C2×#137C2×D1111yescharacteristic, complemented
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×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—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—111no—
1017#548—221no—
1018#548—221no—
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#497—111no—
1048#495—111no—
1049#495—111no—
1050#494—111no—
1051#494C2×D1111yescharacteristic, complemented
1052#470—111no—
1053#470—111no—
1054#470C2×D1111yescharacteristic, complemented
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#465—111no—
1068#464—111no—
1069#464—111no—
1070#464—111no—
1071#464—111no—
1072#464—111no—
1073#464—111no—
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#461C2×D1111yescharacteristic, complemented
1084#452—111no—
1085#452—111no—
1086#452—111no—
1087#452—111no—
1088#452—111no—
1089#452—111no—
1090#452C2×D1111yescharacteristic
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#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#448—111no—
1115#447—111no—
1116#441—111no—
1117#441—111no—
1118#440—111no—
1119#440—111no—
1120C4×Q16—111no—
1121C4×Q16—111no—
1122C4×SD16—111no—
1123C4×SD16C2×D1111yescharacteristic, complemented
1124#436—111no—
1125#436C2×D1111yescharacteristic, complemented
1126#435—111no—
1127#435—111no—
1128#435—111no—
1129#435—111no—
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×C11C23×D411yescharacteristic
1153C2×D11—21no—
1154C2×D11—21no—
1155C2×D11—21no—
1156C2×D11—21no—
1157C2×D11—21no—
1158C2×D11—21no—
1159C2×D11—21no—
1160C2×D11—44no—
1161C2×D11—41no—
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—21no—
1175C4×C11—41no—
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—22no—
1187Dic11—21no—
1188Dic11—21no—
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—221no—
1207C2×#41—221no—
1208C2×#41—221no—
1209C2×#41—221no—
1210C2×#41—221no—
1211C2×#41—221no—
1212C2×#41—221no—
1213C2×#41—221no—
1214C2×#41—224no—
1215C2×#41—442no—
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—221no—
1229C22×Q8—221no—
1230C22×Q8—221no—
1231C22×Q8—221no—
1232C22×Q8—221no—
1233C22×Q8—224no—
1234C22×Q8—442no—
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—24no—
1244#137—118no—
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—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—224no—
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—224no—
1309C2×M16C22×D1111yescharacteristic
1310C2×M16C22×D1111yescharacteristic
1311C22×C8—111no—
1312C22×C8—111no—
1313C22×C8—111no—
1314C22×C8—111no—
1315C22×C8—111no—
1316C22×C8—111no—
1317C4⋊Q8—21no—
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⋊Q8C22×D1111yescharacteristic
1327C4⋊Q8C22×D1111yescharacteristic
1328#124—111no—
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#124—221no—
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—21no—
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⋊Q8C22×D1111yescharacteristic
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—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#121—221no—
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#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#97—111no—
1502C4×C8—111no—
1503C4×C8C22×D1111yescharacteristic
1504C2×C11—41no—
1505C2×C11—42no—
1506C2×C11—41no—
1507C2×C11C2×D4211yescharacteristic
1508C2×C11C2×#57811yescharacteristic
1509C2×C11#358611yescharacteristic
1510D11—22no—
1511D11—22no—
1512D11—41no—
1513D11—81no—
1514D11—81no—
1515C24—111no—
1516C24—221no—
1517#41—22no—
1518#41—22no—
1519#41—41no—
1520#41—41no—
1521#41—114no—
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—222no—
1533#41—441no—
1534#41—441no—
1535#41—444no—
1536#41—444no—
1537#41—444no—
1538#41—444no—
1539#41—444no—
1540#41—441no—
1541#41—444no—
1542#41—441no—
1543#41—444no—
1544#41—444no—
1545C2×Q8—21no—
1546C2×Q8—21no—
1547C2×Q8—22no—
1548C2×Q8—22no—
1549C2×Q8—41no—
1550C2×Q8—41no—
1551C2×Q8—111no—
1552C2×Q8—114no—
1553C2×Q8—111no—
1554C2×Q8—111no—
1555C2×Q8—111no—
1556C2×Q8—111no—
1557C2×Q8—221no—
1558C2×Q8—221no—
1559C2×Q8—221no—
1560C2×Q8—221no—
1561C2×Q8—221no—
1562C2×Q8—221no—
1563C2×Q8—221no—
1564C2×Q8—221no—
1565C2×Q8—222no—
1566C2×Q8—222no—
1567C2×Q8—222no—
1568C2×Q8—222no—
1569C2×Q8—222no—
1570C2×Q8—222no—
1571C2×Q8—222no—
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—444no—
1582C2×Q8—444no—
1583C2×Q8—444no—
1584C2×Q8—441no—
1585C2×Q8—441no—
1586C2×Q8—441no—
1587C2×Q8—441no—
1588C2×Q8—441no—
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—221no—
1613C2×D4—222no—
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—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—22no—
1663Q16—41no—
1664Q16—41no—
1665Q16—114no—
1666Q16—114no—
1667Q16—222no—
1668Q16—222no—
1669Q16—222no—
1670Q16—222no—
1671Q16—222no—
1672Q16—222no—
1673Q16—222no—
1674Q16—222no—
1675Q16—222no—
1676Q16—441no—
1677Q16—441no—
1678Q16—441no—
1679SD16—22no—
1680SD16—22no—
1681SD16—114no—
1682SD16—222no—
1683SD16—222no—
1684SD16—222no—
1685SD16—222no—
1686SD16—222no—
1687SD16—222no—
1688SD16—222no—
1689SD16—222no—
1690SD16—441no—
1691SD16—441no—
1692SD16D4×D1114yes—
1693D8—222no—
1694D8—441no—
1695M16—22no—
1696M16—22no—
1697M16—114no—
1698M16—222no—
1699M16—222no—
1700M16—222no—
1701C2×C8—111no—
1702C2×C8—111no—
1703C2×C8—111no—
1704C2×C8—111no—
1705C2×C8—222no—
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—21no—
1723C4⋊C4—21no—
1724C4⋊C4—111no—
1725C4⋊C4—111no—
1726C4⋊C4—111no—
1727C4⋊C4—111no—
1728C4⋊C4—111no—
1729C4⋊C4—111no—
1730C4⋊C4—111no—
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—111no—
1758C22⋊C4—111no—
1759C22⋊C4—111no—
1760C22⋊C4—111no—
1761C22⋊C4—111no—
1762C22⋊C4—111no—
1763C22⋊C4—111no—
1764C22⋊C4—111no—
1765C22⋊C4—221no—
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—111no—
1791C42—221no—
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—21no—
1822Q8—42no—
1823Q8—42no—
1824Q8—112no—
1825Q8—112no—
1826Q8—224no—
1827Q8—222no—
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—
1842Q8—442no—
1843Q8C2×D4×D1112yes—
1844D4—21no—
1845D4—41no—
1846D4—42no—
1847D4—42no—
1848D4—222no—
1849D4—222no—
1850D4—222no—
1851D4—222no—
1852D4—222no—
1853D4—224no—
1854D4—221no—
1855D4—221no—
1856D4—221no—
1857D4—221no—
1858D4—442no—
1859D4—442no—
1860D4—442no—
1861D4—442no—
1862D4—441no—
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—21no—
1882C2×C4—42no—
1883C2×C4—42no—
1884C2×C4—42no—
1885C2×C4—42no—
1886C2×C4—81no—
1887C2×C4—111no—
1888C2×C4—112no—
1889C2×C4—112no—
1890C2×C4—111no—
1891C2×C4—111no—
1892C2×C4—111no—
1893C2×C4—111no—
1894C2×C4—222no—
1895C2×C4—222no—
1896C2×C4—224no—
1897C2×C4—222no—
1898C2×C4—224no—
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—112no—
1949C22—112no—
1950C22—221no—
1951C22—221no—
1952C22—221no—
1953C22—221no—
1954C22—221no—
1955C22—221no—
1956C22—221no—
1957C22—444no—
1958C22—441no—
1959C22—441no—
1960C22—441no—
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—41no—
1977C4—112no—
1978C4—221no—
1979C4—221no—
1980C4—221no—
1981C4—222no—
1982C4—222no—
1983C4—221no—
1984C4—441no—
1985C4—441no—
1986C4—441no—
1987C4—441no—
1988C4C22×D4×D1111yescharacteristic
1989C4D11×H(5,𝔽2)11yescharacteristic
1990C2—41no—
1991C2—41no—
1992C2—42no—
1993C2—222no—
1994C2—222no—
1995C2—441no—
1996C2—881no—
1997C2—881no—
1998C2D42×D1111yescharacteristic
1999C2D11×#57811yescharacteristic
2000C2#1308339911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3276C2
socleC22×C11C23×D4
hypercenter#3276D11
hypocenterC11#61076
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3276

Complements

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

NH ≅ G/Ntype
1. C2×#10623310C2semidirect
2. C2×D11×#137C2semidirect
3. #13082290C2semidirect
4. #13082266C2semidirect
5. #13080366C2semidirect
6. #13080361C2semidirect
7. #13080325C2semidirect
8. #13080321C2semidirect
9. #13080274C2semidirect
10. #13080273C2semidirect
11. #13080260C2semidirect
12. #13080193C2semidirect
13. #13080193C2semidirect
14. #13080192C2semidirect
15. #13080187C2semidirect
16. #13080167C2semidirect
17. #13080165C2semidirect
18. #13080132C2semidirect
19. #13080120C2semidirect
20. #13079104C2semidirect
21. #13078304C2semidirect
22. #13078245C2semidirect
23. #13078161C2semidirect
24. #13078141C2semidirect
25. #13077932C2semidirect
26. #13077908C2semidirect
27. #13077837C2semidirect
28. D11×#451C2semidirect
29. #13077452C2semidirect
30. #13077345C2semidirect
31. C11×#3276C2semidirect
34. C2×#67040C22semidirect
37. C2×C11×#137C22semidirect
38. D4×Q8×C11C22semidirect
43. C2×#67003C22semidirect
44. #10623348C22semidirect
46. C22×#4326C22semidirect
53. C2×#66971C22semidirect
54. C2×#66971C22semidirect
57. C2×Q16×D11C22semidirect
58. C2×Q16×D11C22semidirect
59. C2×Q16×D11C22semidirect
61. C2×#66969C22semidirect
64. C2×#66968C22semidirect
68. C2×#66962C22semidirect
69. C2×#66960C22semidirect
76. #10623255C22semidirect
86. #10623163C22semidirect
89. #10623159C22semidirect
96. #10623103C22semidirect
100. #10623083C22semidirect
106. C11×#494C22semidirect
107. C11×#470C22semidirect
108. C11×#470C22semidirect
109. C11×#462C22semidirect
110. C11×#461C22semidirect
112. C11×#452C22semidirect
113. C11×#451C22semidirect
114. C11×#451C22semidirect
115. C4×C11×SD16C22semidirect
116. C11×#436C22semidirect
117. #10622852C22semidirect
119. #10622841C22semidirect
120. #10622840C22semidirect
121. #10622804C22semidirect
122. #10622803C22semidirect
123. #10622803C22semidirect
125. #10622801C22semidirect
126. #10622800C22semidirect
130. #10622799C22semidirect
131. #10622799C22semidirect
132. #10622798C22semidirect
133. #10622795C22semidirect
134. #10622794C22semidirect
135. #10622786C22semidirect
137. #10622778C22semidirect
138. #10622777C22semidirect
139. #10622775C22semidirect
140. #10622747C22semidirect
141. #10622747C22semidirect
143. #10622740C22semidirect
144. #10622703C22semidirect
145. #10622703C22semidirect
146. #10622699C22semidirect
147. #10622699C22semidirect
148. #10622665C22semidirect
149. #10622664C22semidirect
150. #10622663C22semidirect
151. #10622663C22semidirect
152. #10622662C22semidirect
153. #10622661C22semidirect
155. #10622660C22semidirect
156. #10622643C22semidirect
157. #10622641C22semidirect
158. #10622631C22semidirect
159. #10622629C22semidirect
160. #10622624C22semidirect
162. #10622477C22semidirect
163. #10622474C22semidirect
164. #10622466C22semidirect
165. #10622458C22semidirect
166. #10622458C22semidirect
167. #10622452C22semidirect
169. #10622429C22semidirect
171. #10622425C22semidirect
172. #10622424C22semidirect
175. #10622421C22semidirect
178. #10622419C22semidirect
180. #10622416C22semidirect
181. #10622415C22semidirect
182. D11×#103C22semidirect
183. D11×#103C22semidirect
184. #10622411C22semidirect
185. #10622411C22semidirect
186. #10622406C22semidirect
187. #10622406C22semidirect
188. #10622403C22semidirect
189. #10622396C22semidirect
192. #10622371C22semidirect
193. #10622352C22semidirect
194. #10622352C22semidirect
196. #10622347C22semidirect
197. #10622342C22semidirect
198. #10622340C22semidirect
201. C4×Dic44C22semidirect
202. #10622309C22semidirect
203. #10622302C22semidirect
361. #66968D4semidirect
810. #3276D11semidirect
988. C2×#137C2×D11semidirect
1010. D4×Q8C2×D11semidirect
1051. #494C2×D11semidirect
1054. #470C2×D11semidirect
1055. #470C2×D11semidirect
1081. #462C2×D11semidirect
1083. #461C2×D11semidirect
1091. #452C2×D11semidirect
1105. #451C2×D11semidirect
1106. #451C2×D11semidirect
1123. C4×SD16C2×D11semidirect
1125. #436C2×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×#106233102
C2×D11×#1372
#130822902
#130822662
#130803662
#130803612
#130803252
#130803212
#130802742
#130802732
#130802602
#130801932
#130801922
#130801872
#130801672
#130801652
#130801322
#130801202
#130791042
#130783042
#130782452
#130781612
#130781412
#130779322
#130779082
#130778372
D11×#4512
#130774522
#130773452
C11×#32762
#6107611