Finite Group Databasebeta

← #15639899

Subgroups — #15639899

Order 2816.

2146 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082847C211yesmaximal, characteristic, complemented
2#13082266C211yesmaximal, characteristic, complemented
3#13080794C211yesmaximal, characteristic, complemented
4#13080793C211yesmaximal, characteristic, complemented
5#13080787C211yesmaximal, characteristic, complemented
6#13080780C211yesmaximal, characteristic, complemented
7#13080523C211yesmaximal, characteristic, complemented
8#13080522C211yesmaximal, characteristic, complemented
9#13080520C211yesmaximal, characteristic, complemented
10#13080513C211yesmaximal, characteristic, complemented
11#13080311C211yesmaximal, characteristic, complemented
12#13080310C211yesmaximal, characteristic, complemented
13SD16×C22⋊D11C211yesmaximal, characteristic, complemented
14#13080111C211yesmaximal, characteristic, complemented
15#13080109C211yesmaximal, characteristic, complemented
16#13080107C211yesmaximal, characteristic, complemented
17#13080106C211yesmaximal, characteristic, complemented
18#13079676C211yesmaximal, characteristic, complemented
19#13079670C211yesmaximal, characteristic, complemented
20#13079485C211yesmaximal, characteristic, complemented
21#13079482C211yesmaximal, characteristic, complemented
22#13079384C211yesmaximal, characteristic, complemented
23#13079382C211yesmaximal, characteristic, complemented
24#13078905C211yesmaximal, characteristic, complemented
25#13078904C211yesmaximal, characteristic, complemented
26#13077898C211yesmaximal, characteristic, complemented
27#13077897C211yesmaximal, characteristic, complemented
28C2×#10622783C211yesmaximal, characteristic, complemented
29D11×#448C211yesmaximal, characteristic, complemented
30#13077669C211yesmaximal, characteristic, complemented
31D4×C11×SD16C211yesmaximal, characteristic, complemented
32C2×#67040C2211yescharacteristic, complemented
33C22×Q8×D11C2211yescharacteristic, complemented
34C22×C11×SD16C2211yescharacteristic, complemented
35C22×C11×SD16C2211yescharacteristic, complemented
36D4×Q8×C11C2211yescharacteristic, complemented
37D42×C11C2211yescharacteristic
38#10623348C2211yescharacteristic, complemented
39Q8×C22⋊D11C2211yescharacteristic, complemented
40#10623336C2211yescharacteristic
41#10623335—21no—
42D4×C22⋊D11—21no—
43D4×C22⋊D11C2211yescharacteristic
44D4×C22⋊D11C2211yescharacteristic
45C2×#66991C2211yescharacteristic
46C22×#4324C2211yescharacteristic, complemented
47C2×#66985C2211yescharacteristic, complemented
48C2×#66967C2211yescharacteristic, complemented
49C2×SD16×D11C2211yescharacteristic, complemented
50C2×SD16×D11C2211yescharacteristic, complemented
51C2×SD16×D11C2211yescharacteristic, complemented
52#10623258—21no—
53#10623258C2211yescharacteristic, complemented
54#10623255—21no—
55#10623255C2211yescharacteristic, complemented
56#10623250C2211yescharacteristic
57#10623248C2211yescharacteristic
58#10623164—21no—
59#10623164C2211yescharacteristic, complemented
60#10623163—21no—
61#10623163C2211yescharacteristic, complemented
62#10623159—21no—
63#10623159C2211yescharacteristic, complemented
64#10623158—21no—
65#10623158C2211yescharacteristic, complemented
66#10623151—21no—
67#10623149C2211yescharacteristic
68#10623145C2211yescharacteristic
69#10623144—21no—
70#10623138C2211yescharacteristic
71D11×#121C2211yescharacteristic
72#10623126—21no—
73#10623124—21no—
74#10623121—21no—
75#10623120—21no—
76#10623107C2211yescharacteristic, complemented
77#10623103C2211yescharacteristic, complemented
78#10623096C2211yescharacteristic
79#10623093C2211yescharacteristic
80#10623089C2211yescharacteristic
81#10623083—21no—
82#10623083C2211yescharacteristic, complemented
83#10623078—21no—
84#10623078C2211yescharacteristic
85C11×#492C2211yescharacteristic, complemented
86C11×#465C2211yescharacteristic, complemented
87C11×#465C2211yescharacteristic, complemented
88C11×#461C2211yescharacteristic, complemented
89C11×#460C2211yescharacteristic, complemented
90C11×#450C2211yescharacteristic, complemented
91C11×#450C2211yescharacteristic, complemented
92C11×#448C2211yescharacteristic, complemented
93C11×#448C2211yescharacteristic, complemented
94C4×C11×SD16C2211yescharacteristic, complemented
95C8×D4×C11C2211yescharacteristic, complemented
96#10622840C2211yescharacteristic, complemented
97#10622840C2211yescharacteristic, complemented
98#10622838C2211yescharacteristic, complemented
99C2×#66899C2211yescharacteristic, complemented
100#10622831C2211yescharacteristic, complemented
101#10622830C2211yescharacteristic, complemented
102#10622789C2211yescharacteristic, complemented
103#10622788C2211yescharacteristic, complemented
104#10622787C2211yescharacteristic, complemented
105#10622785C2211yescharacteristic, complemented
106#10622785C2211yescharacteristic, complemented
107#10622785C2211yescharacteristic, complemented
108#10622785C2211yescharacteristic, complemented
109#10622785C2211yescharacteristic, complemented
110#10622784C2211yescharacteristic, complemented
111#10622784C2211yescharacteristic, complemented
112#10622784C2211yescharacteristic, complemented
113#10622783C2211yescharacteristic, complemented
114#10622783C2211yescharacteristic, complemented
115#10622783C2211yescharacteristic, complemented
116#10622783C2211yescharacteristic, complemented
117#10622783C2211yescharacteristic, complemented
118#10622783C2211yescharacteristic, complemented
119#10622783C2211yescharacteristic, complemented
120#10622783C2211yescharacteristic, complemented
121#10622783C2211yescharacteristic, complemented
122#10622783C2211yescharacteristic, complemented
123#10622783C2211yescharacteristic, complemented
124#10622783C2211yescharacteristic, complemented
125#10622782C2211yescharacteristic, complemented
126#10622782C2211yescharacteristic, complemented
127#10622778C2211yescharacteristic, complemented
128#10622778C2211yescharacteristic, complemented
129#10622777C2211yescharacteristic, complemented
130#10622776C2211yescharacteristic, complemented
131#10622775C2211yescharacteristic, complemented
132#10622775C2211yescharacteristic, complemented
133SD16×Dic11C2211yescharacteristic, complemented
134#10622728C2211yescharacteristic, complemented
135#10622727C2211yescharacteristic, complemented
136#10622726C2211yescharacteristic, complemented
137#10622724C2211yescharacteristic, complemented
138#10622723C2211yescharacteristic, complemented
139C8×C22⋊D11C2211yescharacteristic, complemented
140C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
141C2×#66880C2211yescharacteristic, complemented
142#10622696C2211yescharacteristic, complemented
143#10622695C2211yescharacteristic, complemented
144#10622688C2211yescharacteristic, complemented
145#10622687C2211yescharacteristic, complemented
146#10622662C2211yescharacteristic, complemented
147#10622661C2211yescharacteristic, complemented
148#10622658C2211yescharacteristic, complemented
149#10622657C2211yescharacteristic, complemented
150#10622655C2211yescharacteristic, complemented
151#10622653C2211yescharacteristic, complemented
152#10622651C2211yescharacteristic, complemented
153#10622650C2211yescharacteristic, complemented
154#10622639C2211yescharacteristic, complemented
155#10622635C2211yescharacteristic, complemented
156#10622631C2211yescharacteristic, complemented
157#10622629C2211yescharacteristic, complemented
158#10622624C2211yescharacteristic, complemented
159#10622480C2211yescharacteristic, complemented
160#10622479C2211yescharacteristic, complemented
161#10622476C2211yescharacteristic, complemented
162#10622470C2211yescharacteristic, complemented
163#10622457C2211yescharacteristic, complemented
164#10622453C2211yescharacteristic, complemented
165#10622449C2211yescharacteristic, complemented
166#10622442C2211yescharacteristic, complemented
167#10622428C2211yescharacteristic, complemented
168#10622424C2211yescharacteristic, complemented
169#10622422C2211yescharacteristic, complemented
170#10622419C2211yescharacteristic, complemented
171#10622419C2211yescharacteristic, complemented
172#10622417C2211yescharacteristic, complemented
173#10622415C2211yescharacteristic, complemented
174D11×#103C2211yescharacteristic, complemented
175D11×#103C2211yescharacteristic, complemented
176#10622413C2211yescharacteristic, complemented
177#10622412C2211yescharacteristic, complemented
178#10622410C2211yescharacteristic, complemented
179#10622397C2211yescharacteristic, complemented
180#10622393C2211yescharacteristic, complemented
181#10622392C2211yescharacteristic, complemented
182#10622392C2211yescharacteristic, complemented
183#10622391C2211yescharacteristic, complemented
184#10622389C2211yescharacteristic, complemented
185#10622388C2211yescharacteristic, complemented
186#10622388C2211yescharacteristic, complemented
187#10622386C2211yescharacteristic, complemented
188#10622375C2211yescharacteristic, complemented
189#10622371C2211yescharacteristic, complemented
190#10622370C2211yescharacteristic, complemented
191#10622351C2211yescharacteristic, complemented
192#10622348C2211yescharacteristic, complemented
193#10622347C2211yescharacteristic, complemented
194#10622341C2211yescharacteristic, complemented
195#10622340C2211yescharacteristic, complemented
196(C22⋊D11)⋊C8C2211yescharacteristic, complemented
197D11×C22⋊C8C2211yescharacteristic, complemented
198#10622336C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202C8×D44C2211yescharacteristic, complemented
203C22×Q8×C11C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205C22×D4×C11—21no—
206C22×D4×C11C2311yescharacteristic
207C22×D4×C11C2311yescharacteristic
208C22×C22⋊D11—21no—
209C22×C22⋊D11—21no—
210C22×C22⋊D11—21no—
211#67040—42no—
212#67040—42no—
213C2×#4343—21no—
214C2×#4343C2311yescharacteristic
215C2×#4343C2311yescharacteristic
216C2×Q8×D11—21no—
217C2×Q8×D11—21no—
218C2×Q8×D11—21no—
219C2×Q8×D11—42no—
220C2×Q8×D11—42no—
221C2×Q8×D11C2311yescharacteristic
222C2×Q8×D11C2311yescharacteristic
223C2×Q8×D11C2311yescharacteristic
224C2×Q8×D11C2311yescharacteristic
225C2×Q8×D11C2311yescharacteristic
226C2×D4×D11—21no—
227C2×D4×D11—21no—
228C2×D4×D11C2311yescharacteristic
229C2×D4×D11C2311yescharacteristic
230C2×#4339—21no—
231C2×#4339—21no—
232C2×#4339C2311yescharacteristic
233C2×#4339C2311yescharacteristic
234C22×C4×D11—21no—
235C22×C4×D11C2311yescharacteristic
236C22×Dic22—21no—
237C22×Dic22C2311yescharacteristic
238C2×C11×SD16—42no—
239C2×C11×SD16—42no—
240C2×C11×SD16C2311yescharacteristic
241C2×C11×SD16C2311yescharacteristic
242C2×C11×SD16C2311yescharacteristic
243C2×C11×SD16C2311yescharacteristic
244C2×C11×SD16C2311yescharacteristic
245C2×C11×SD16C2311yescharacteristic
246C2×C11×SD16C2311yescharacteristic
247C2×C11×SD16C2311yescharacteristic
248C2×C11×SD16C2311yescharacteristic
249C22×C8×C11C2311yescharacteristic
250C22×C8×C11C2311yescharacteristic
251C11×C4⋊Q8—21no—
252C11×C4⋊Q8C2311yescharacteristic
253C11×#127C2311yescharacteristic
254C11×C22⋊Q8—21no—
255C11×C22⋊Q8—21no—
256C11×C22⋊Q8C2311yescharacteristic
257C11×C22⋊Q8C2311yescharacteristic
258C11×#121—21no—
259C11×#121C2311yescharacteristic
260C11×#121C2311yescharacteristic
261C11×#120—21no—
262C11×#120—21no—
263C4×Q8×C11C2311yescharacteristic
264C4×D4×C11—21no—
265C4×D4×C11C2311yescharacteristic
266C4×D4×C11C2311yescharacteristic
267#67006—21no—
268#67006—21no—
269#67006—21no—
270#67006—21no—
271C2×C22⋊Dic11—21no—
272#67000—21no—
273#67000C2311yescharacteristic
274#66999—21no—
275#66999—21no—
276#66999C2311yescharacteristic
277#66999C2311yescharacteristic
278Q8×Dic11C2311yescharacteristic
279#66997—21no—
280#66997C2311yescharacteristic
281C2×#4325C2311yescharacteristic
282C2×#4325C2311yescharacteristic
283C2×#4325C2311yescharacteristic
284#66993—21no—
285#66993—21no—
286#66993C2311yescharacteristic
287#66992—21no—
288#66992—21no—
289#66992—21no—
290#66992—21no—
291#66992—21no—
292#66992—21no—
293#66992—21no—
294#66992—21no—
295#66992D411yescharacteristic
296#66991—21no—
297#66991—21no—
298#66991—21no—
299#66991—21no—
300#66991C2311yescharacteristic
301#66991C2311yescharacteristic
302#66991C2311yescharacteristic
303#66991C2311yescharacteristic
304#66991C2311yescharacteristic
305#66991C2311yescharacteristic
306#66991C2311yescharacteristic
307#66990—21no—
308#66990—21no—
309#66990—21no—
310#66990—21no—
311#66990—21no—
312#66990D411yescharacteristic
313#66989—21no—
314#66988—21no—
315#66988—21no—
316#66988—21no—
317D4×Dic11—21no—
318D4×Dic11C2311yescharacteristic
319D4×Dic11C2311yescharacteristic
320C2×#4324—42no—
321C2×#4324C2311yescharacteristic
322C2×#4324C2311yescharacteristic
323C2×#4324C2311yescharacteristic
324C2×#4324C2311yescharacteristic
325C2×#4324C2311yescharacteristic
326C2×#4324C2311yescharacteristic
327#66985—42no—
328C2×#4323C2311yescharacteristic
329C2×#4323C2311yescharacteristic
330C2×#4323C2311yescharacteristic
331#66983—21no—
332#66983—21no—
333#66983C2311yescharacteristic
334#66983C2311yescharacteristic
335#66983C2311yescharacteristic
336#66982—21no—
337#66982—21no—
338C4×C22⋊D11—21no—
339C4×C22⋊D11—21no—
340C4×C22⋊D11—21no—
341C4×C22⋊D11C2311yescharacteristic
342C4×C22⋊D11C2311yescharacteristic
343#66979C2311yescharacteristic
344C2×C4⋊Dic11C2311yescharacteristic
345#66977—21no—
346#66977C2311yescharacteristic
347C2×#4318C2311yescharacteristic
348C22×C11⋊C8C2311yescharacteristic
349#66967—42no—
350SD16×D11—42no—
351SD16×D11—42no—
352SD16×D11—42no—
353C2×D88C2311yescharacteristic
354C2×#4314C2311yescharacteristic
355C2×#4314C2311yescharacteristic
356C2×#4313C2311yescharacteristic
357C2×C8×D11C2311yescharacteristic
358C2×C8×D11C2311yescharacteristic
359C2×C8×D11C2311yescharacteristic
360#66951—21no—
361#66950—21no—
362#66950C2311yescharacteristic
363#66949—21no—
364#66949—21no—
365#66949—21no—
366#66949—21no—
367#66949—21no—
368#66949—21no—
369#66949—21no—
370#66949D411yescharacteristic
371#66948—21no—
372#66948C2311yescharacteristic
373#66948C2311yescharacteristic
374#66947—21no—
375#66947—21no—
376#66947—21no—
377#66947—21no—
378#66947D411yescharacteristic
379#66946—21no—
380#66946—21no—
381#66946—21no—
382#66945—21no—
383#66945C2311yescharacteristic
384#66945C2311yescharacteristic
385C4⋊C4×D11C2311yescharacteristic
386#66943C2311yescharacteristic
387#66941—21no—
388#66941—21no—
389#66941—21no—
390#66940—21no—
391#66940C2311yescharacteristic
392#66939—21no—
393#66938—21no—
394#66938—21no—
395#66938—21no—
396#66938—21no—
397#66937—21no—
398#66937—21no—
399#66937—21no—
400#66937—21no—
401#66937D411yescharacteristic
402#66936—21no—
403#66936—21no—
404#66936—21no—
405#66936D411yescharacteristic
406#66935—21no—
407#66935—21no—
408#66935D411yescharacteristic
409(C22⋊D11)⋊C4—21no—
410(C22⋊D11)⋊C4—21no—
411(C22⋊D11)⋊C4—21no—
412(C22⋊D11)⋊C4—21no—
413(C22⋊D11)⋊C4—21no—
414C22⋊C4×D11—21no—
415#66932—21no—
416#66932—21no—
417#66932—21no—
418#66931—21no—
419#66931D411yescharacteristic
420#66928—21no—
421#66928C2311yescharacteristic
422C4×D44—21no—
423C4×D44C2311yescharacteristic
424C4×D44C2311yescharacteristic
425#66925—21no—
426#66925C2311yescharacteristic
427#66923C2311yescharacteristic
428C4×Dic22—21no—
429C4×Dic22C2311yescharacteristic
430C11×#106C2311yescharacteristic
431C11×C4⋊C8C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C4×C8×C11C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66899C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454C22⋊(C11⋊C8)C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458#66885C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466(C2×D11)⋊C8C2311yescharacteristic
467#66882C2311yescharacteristic
468#66881C2311yescharacteristic
469#66881C2311yescharacteristic
470#66880C2311yescharacteristic
471#66880C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66880C2311yescharacteristic
475#66880C2311yescharacteristic
476#66879C2311yescharacteristic
477Dic11⋊C8C2311yescharacteristic
478Dic11⋊C8C2311yescharacteristic
479C8×Dic11C2311yescharacteristic
480#66874C2311yescharacteristic
481#66874C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66871C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489#66867C2311yescharacteristic
490#61633—111nomaximal, Sylow
491C24×C11—21no—
492C24×C11—21no—
493C23×D11—21no—
494C23×D11—21no—
495C23×D11C2×D411yescharacteristic
496C2×Q8×C11—21no—
497C2×Q8×C11—21no—
498C2×Q8×C11—22no—
499C2×Q8×C11—22no—
500C2×Q8×C11—41no—
501C2×Q8×C11—41no—
502C2×Q8×C11C2411yescharacteristic
503C2×Q8×C11C2411yescharacteristic
504C2×Q8×C11C2411yescharacteristic
505C2×D4×C11—21no—
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11—21no—
510C2×D4×C11—21no—
511C2×D4×C11—41no—
512C2×D4×C11—41no—
513C2×D4×C11—41no—
514C2×D4×C11—41no—
515C2×D4×C11—82no—
516C2×D4×C11C2×D411yescharacteristic
517C2×D4×C11C2411yescharacteristic
518C2×D4×C11C2411yescharacteristic
519C2×D4×C11C2411yescharacteristic
520C22×C4×C11—21no—
521C22×C4×C11—21no—
522C22×C4×C11—21no—
523C22×C4×C11C2411yescharacteristic
524C22×C4×C11C2411yescharacteristic
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—21no—
530C2×C22⋊D11—21no—
531C2×C22⋊D11—21no—
532C2×C22⋊D11—21no—
533C2×C22⋊D11—21no—
534C2×C22⋊D11—21no—
535C2×C22⋊D11—21no—
536C2×C22⋊D11—21no—
537C2×C22⋊D11—21no—
538C2×C22⋊D11—21no—
539C2×C22⋊D11—21no—
540C2×C22⋊D11—82no—
541C2×C22⋊D11—82no—
542C2×C22⋊D11—82no—
543C2×C22⋊D11C2×D411yescharacteristic
544C2×C22⋊D11C2×D411yescharacteristic
545C2×C22⋊D11C2×D411yescharacteristic
546C2×C22⋊D11C2×D411yescharacteristic
547C22×Dic11—21no—
548C22×Dic11—21no—
549C22×Dic11—21no—
550C22×Dic11—21no—
551C22×Dic11C2×D411yescharacteristic
552#4343—22no—
553#4343—41no—
554#4343—41no—
555#4343—41no—
556#4343—44no—
557Q8×D11—22no—
558Q8×D11—22no—
559Q8×D11—22no—
560Q8×D11—22no—
561Q8×D11—22no—
562Q8×D11—41no—
563Q8×D11—41no—
564Q8×D11—41no—
565Q8×D11—41no—
566Q8×D11—41no—
567Q8×D11—44no—
568Q8×D11—44no—
569Q8×D11—44no—
570D4×D11—41no—
571D4×D11—41no—
572D4×D11—41no—
573D4×D11—41no—
574D4×D11—82no—
575D4×D11—82no—
576#4339—22no—
577#4339—41no—
578#4339—41no—
579#4339—41no—
580#4339—44no—
581#4339—44no—
582C2×D44—21no—
583C2×D44—21no—
584C2×D44—21no—
585C2×D44—21no—
586C2×D44C2×D411yescharacteristic
587C2×D44C2×D411yescharacteristic
588C2×D44C2411yescharacteristic
589C2×D44C2411yescharacteristic
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—21no—
593C2×C4×D11—21no—
594C2×C4×D11—21no—
595C2×C4×D11—21no—
596C2×C4×D11—21no—
597C2×C4×D11—21no—
598C2×C4×D11—21no—
599C2×C4×D11—21no—
600C2×C4×D11—41no—
601C2×C4×D11—41no—
602C2×C4×D11—44no—
603C2×C4×D11C2×D411yescharacteristic
604C2×C4×D11C2×D411yescharacteristic
605C2×C4×D11C2411yescharacteristic
606C2×C4×D11C2411yescharacteristic
607C2×C4×D11C2411yescharacteristic
608C2×Dic22—21no—
609C2×Dic22—22no—
610C2×Dic22—21no—
611C2×Dic22—21no—
612C2×Dic22—21no—
613C2×Dic22—21no—
614C2×Dic22—21no—
615C2×Dic22—41no—
616C2×Dic22—44no—
617C2×Dic22C2×D411yescharacteristic
618C2×Dic22C2411yescharacteristic
619C2×Dic22C2411yescharacteristic
620C11×SD16—22no—
621C11×SD16—22no—
622C11×SD16—22no—
623C11×SD16—41no—
624C11×SD16—41no—
625C11×SD16—41no—
626C11×SD16—41no—
627C11×SD16—41no—
628C11×SD16—41no—
629C2×C8×C11—41no—
630C2×C8×C11—41no—
631C2×C8×C11C2411yescharacteristic
632C2×C8×C11C2411yescharacteristic
633C2×C8×C11C2411yescharacteristic
634C2×C8×C11C2411yescharacteristic
635C11×C4⋊C4—21no—
636C11×C4⋊C4—21no—
637C11×C4⋊C4—21no—
638C11×C4⋊C4—21no—
639C11×C4⋊C4—21no—
640C11×C4⋊C4C2×D411yescharacteristic
641C11×C4⋊C4C2411yescharacteristic
642C11×C4⋊C4C2411yescharacteristic
643C11×C22⋊C4—21no—
644C11×C22⋊C4—21no—
645C11×C22⋊C4—21no—
646C11×C22⋊C4—21no—
647C11×C22⋊C4—21no—
648C11×C22⋊C4C2×D411yescharacteristic
649C11×C22⋊C4C2×D411yescharacteristic
650C42×C11—21no—
651C42×C11C2411yescharacteristic
652C22⋊Dic11—21no—
653C22⋊Dic11—21no—
654C22⋊Dic11—21no—
655C22⋊Dic11—21no—
656C22⋊Dic11—21no—
657C22⋊Dic11—21no—
658C22⋊Dic11—21no—
659C22⋊Dic11—21no—
660C22⋊Dic11—21no—
661C22⋊Dic11—21no—
662C22⋊Dic11—21no—
663C22⋊Dic11C2×D411yescharacteristic
664C22⋊Dic11C2×D411yescharacteristic
665#4325—22no—
666#4325—41no—
667#4325—41no—
668#4324—22no—
669#4324—22no—
670#4324—22no—
671#4324—41no—
672#4324—41no—
673#4324—41no—
674#4323—41no—
675#4323—41no—
676#4323—41no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4—21no—
683(C2×D11)⋊C4—21no—
684(C2×D11)⋊C4—21no—
685(C2×D11)⋊C4—21no—
686(C2×D11)⋊C4—21no—
687(C2×D11)⋊C4—21no—
688(C2×D11)⋊C4—21no—
689(C2×D11)⋊C4—21no—
690(C2×D11)⋊C4—21no—
691(C2×D11)⋊C4—21no—
692(C2×D11)⋊C4C2×D411yescharacteristic
693(C2×D11)⋊C4C2×D411yescharacteristic
694(C2×D11)⋊C4C2×D411yescharacteristic
695(C2×D11)⋊C4C2×D411yescharacteristic
696(C2×D11)⋊C4C2×D411yescharacteristic
697(C2×D11)⋊C4C2×D411yescharacteristic
698C4⋊Dic11—21no—
699C4⋊Dic11—21no—
700C4⋊Dic11—21no—
701C4⋊Dic11—21no—
702C4⋊Dic11C2×D411yescharacteristic
703C4⋊Dic11C2411yescharacteristic
704C4⋊Dic11C2411yescharacteristic
705C4⋊Dic11C2411yescharacteristic
706C4⋊Dic11C2411yescharacteristic
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4—21no—
714Dic11⋊C4—21no—
715Dic11⋊C4—21no—
716Dic11⋊C4—21no—
717Dic11⋊C4—21no—
718Dic11⋊C4C2×D411yescharacteristic
719Dic11⋊C4C2×D411yescharacteristic
720Dic11⋊C4C2×D411yescharacteristic
721Dic11⋊C4C2×D411yescharacteristic
722C4×Dic11—21no—
723C4×Dic11—21no—
724C4×Dic11—21no—
725C4×Dic11—21no—
726C4×Dic11—21no—
727C4×Dic11—21no—
728C4×Dic11C2411yescharacteristic
729#4318—41no—
730C2×C11⋊C8—41no—
731C2×C11⋊C8C2411yescharacteristic
732C2×C11⋊C8C2411yescharacteristic
733C2×C11⋊C8C2411yescharacteristic
734C2×C11⋊C8C2411yescharacteristic
735D88—41no—
736#4314—22no—
737#4314—41no—
738#4313—41no—
739C8×D11—41no—
740C8×D11—41no—
741C8×D11—41no—
742#3537—111no—
743#3486—111no—
744#3320—111no—
745#3320—111no—
746#3320—111no—
747#3320—111no—
748#3301—111no—
749#3301—111no—
750#3301—111no—
751#3301—111no—
752D4×SD16—111no—
753D4×SD16—111no—
754D4×SD16—111no—
755D4×SD16D1111yescharacteristic, complemented
756#3265—111no—
757#3265—111no—
758#3265—111no—
759#3265—111no—
760#3221—111no—
761#3221—111no—
762#3200—111no—
763#3200—111no—
764#3188—111no—
765#3188—111no—
766#3126—111no—
767#3126—111no—
768#3010—111no—
769#3010—111no—
770C2×#448—111no—
771C2×#448—111no—
772#2977—111no—
773C23×C11—21no—
774C23×C11—21no—
775C23×C11—21no—
776C23×C11—42no—
777C23×C11—81no—
778C23×C11—81no—
779C23×C11—81no—
780C23×C11—81no—
781C23×C11—81no—
782C23×C11C22×D411yescharacteristic
783C23×C11C22×D411yescharacteristic
784C22×D11—22no—
785C22×D11—22no—
786C22×D11—21no—
787C22×D11—21no—
788C22×D11—41no—
789C22×D11—42no—
790C22×D11—81no—
791C22×D11—81no—
792C22×D11—81no—
793C22×D11—81no—
794C22×D11—81no—
795C22×D11C22×D411yescharacteristic
796C22×D11C22×D411yescharacteristic
797C22×D11C22×D411yescharacteristic
798Q8×C11—21no—
799Q8×C11—21no—
800Q8×C11—21no—
801Q8×C11—21no—
802Q8×C11—21no—
803Q8×C11—42no—
804Q8×C11—42no—
805Q8×C11H(5,𝔽2)12yes—
806D4×C11—22no—
807D4×C11—21no—
808D4×C11—21no—
809D4×C11—21no—
810D4×C11—21no—
811D4×C11—21no—
812D4×C11—21no—
813D4×C11—42no—
814D4×C11—81no—
815D4×C11—81no—
816D4×C11—81no—
817D4×C11—81no—
818D4×C11—81no—
819C2×C4×C11—21no—
820C2×C4×C11—21no—
821C2×C4×C11—21no—
822C2×C4×C11—21no—
823C2×C4×C11—21no—
824C2×C4×C11—21no—
825C2×C4×C11—21no—
826C2×C4×C11—21no—
827C2×C4×C11—21no—
828C2×C4×C11—42no—
829C2×C4×C11—42no—
830C2×C4×C11—81no—
831C2×C4×C11C22×D411yescharacteristic
832C2×C4×C11C22×D411yescharacteristic
833C2×C4×C11C22×D411yescharacteristic
834C2×C4×C11C22×D411yescharacteristic
835C2×C4×C11C2511yescharacteristic
836C22⋊D11—22no—
837C22⋊D11—22no—
838C22⋊D11—41no—
839C22⋊D11—41no—
840C22⋊D11—42no—
841C22⋊D11—42no—
842C22⋊D11—42no—
843C22⋊D11—42no—
844C22⋊D11—42no—
845C22⋊D11—81no—
846C22⋊D11—81no—
847C22⋊D11—81no—
848C22⋊D11—81no—
849C22⋊D11—81no—
850C22⋊D11—81no—
851C22⋊D11—81no—
852C22⋊D11—81no—
853C22⋊D11—81no—
854C22⋊D11—81no—
855C2×Dic11—21no—
856C2×Dic11—21no—
857C2×Dic11—21no—
858C2×Dic11—21no—
859C2×Dic11—21no—
860C2×Dic11—21no—
861C2×Dic11—41no—
862C2×Dic11—42no—
863C2×Dic11—81no—
864C2×Dic11—81no—
865C2×Dic11—81no—
866C2×Dic11C22×D411yescharacteristic
867C2×Dic11C22×D411yescharacteristic
868C2×Dic11C22×D411yescharacteristic
869C2×Dic11C22×D411yescharacteristic
870C2×Dic11C22×D411yescharacteristic
871D44—22no—
872D44—21no—
873D44—21no—
874D44—21no—
875D44—21no—
876D44—41no—
877D44—42no—
878D44—42no—
879D44—42no—
880D44—81no—
881C4×D11—24no—
882C4×D11—21no—
883C4×D11—21no—
884C4×D11—21no—
885C4×D11—21no—
886C4×D11—21no—
887C4×D11—21no—
888C4×D11—41no—
889C4×D11—41no—
890C4×D11—42no—
891C4×D11—42no—
892C4×D11—42no—
893C4×D11—42no—
894C4×D11—42no—
895C4×D11—42no—
896C4×D11—42no—
897C4×D11—81no—
898C4×D11—81no—
899Dic22—24no—
900Dic22—21no—
901Dic22—21no—
902Dic22—21no—
903Dic22—41no—
904Dic22—42no—
905Dic22—42no—
906Dic22—42no—
907Dic22—42no—
908Dic22—42no—
909Dic22H(5,𝔽2)12yes—
910C8×C11—21no—
911C8×C11—21no—
912C8×C11—21no—
913C8×C11—21no—
914C11⋊C8—21no—
915C11⋊C8—21no—
916C11⋊C8—21no—
917C11⋊C8—21no—
918C2×2−1+4—111no—
919C23×Q8—111no—
920C2×AGL(1,ℤ/8)—111no—
921C2×AGL(1,ℤ/8)—111no—
922C22×SD16—111no—
923C22×SD16—111no—
924C22×SD16—111no—
925C22×SD16—111no—
926C22×SD16C2×D1111yescharacteristic, complemented
927C22×SD16C2×D1111yescharacteristic, complemented
928#560—221no—
929#560—221no—
930#553—111no—
931#553—111no—
932#553—111no—
933#553—111no—
934D4×Q8—111no—
935D4×Q8—111no—
936D4×Q8—111no—
937D4×Q8—221no—
938D4×Q8—221no—
939D4×Q8C2×D1111yescharacteristic, complemented
940#548—111no—
941#548—111no—
942#548—111no—
943#548—111no—
944#548—221no—
945#548—221no—
946D42—111no—
947D42—111no—
948D42—111no—
949D42—221no—
950D42—221no—
951D42C2×D1111yescharacteristic
952#540—111no—
953#540—111no—
954#538—221no—
955#538—221no—
956#536—111no—
957#536—111no—
958#536—221no—
959#536—221no—
960#535—111no—
961#535—111no—
962#534—221no—
963#534—221no—
964#525—111no—
965#525—111no—
966#525—221no—
967#525—221no—
968C2×#121—111no—
969C2×#121—111no—
970#519—111no—
971#496—111no—
972#496—111no—
973#492—111no—
974#492C2×D1111yescharacteristic, complemented
975#491—111no—
976#491—111no—
977#488—111no—
978#488—111no—
979#485—111no—
980#485—111no—
981#485—111no—
982#485—111no—
983#484—111no—
984#484—111no—
985#482—111no—
986#482—111no—
987#482—111no—
988#482—111no—
989#481—111no—
990#481—111no—
991#479—111no—
992#479—111no—
993#479—111no—
994#479—111no—
995#468—111no—
996#468—111no—
997#468—111no—
998#468—111no—
999#466—111no—
1000#466—111no—
1001#466—111no—
1002#466—111no—
1003#465—111no—
1004#465—111no—
1005#465—111no—
1006#465—111no—
1007#465—111no—
1008#465—111no—
1009#465C2×D1111yescharacteristic, complemented
1010#465C2×D1111yescharacteristic, complemented
1011#463—111no—
1012#463—111no—
1013#463—111no—
1014#463—111no—
1015#461—111no—
1016#461—111no—
1017#461—111no—
1018#461C2×D1111yescharacteristic, complemented
1019#460—111no—
1020#460—111no—
1021#460—111no—
1022#460C2×D1111yescharacteristic, complemented
1023#450—111no—
1024#450—111no—
1025#450—111no—
1026#450—111no—
1027#450C2×D1111yescharacteristic, complemented
1028#450C2×D1111yescharacteristic, complemented
1029#449—111no—
1030#449—111no—
1031#449—111no—
1032#449—111no—
1033#449—111no—
1034#449—111no—
1035#449—111no—
1036#449—111no—
1037#448—111no—
1038#448—111no—
1039#448—111no—
1040#448—111no—
1041#448—111no—
1042#448—111no—
1043#448—111no—
1044#448—111no—
1045#448—111no—
1046#448—111no—
1047#448—111no—
1048#448—111no—
1049#448—111no—
1050#448—111no—
1051#448—111no—
1052#448—111no—
1053#448—111no—
1054#448—111no—
1055#448C2×D1111yescharacteristic, complemented
1056#448C2×D1111yescharacteristic, complemented
1057#447—111no—
1058#447—111no—
1059#440—111no—
1060#440—111no—
1061#440—111no—
1062#440—111no—
1063C4×SD16—111no—
1064C4×SD16—111no—
1065C4×SD16—111no—
1066C4×SD16C2×D1111yescharacteristic, complemented
1067#435—111no—
1068#435—111no—
1069#435—111no—
1070#435—111no—
1071C8×D4—111no—
1072C8×D4—111no—
1073C8×D4—111no—
1074C8×D4C2×D1111yescharacteristic, complemented
1075#433—111no—
1076#433—111no—
1077#419—111no—
1078#419—111no—
1079#416—111no—
1080#416—111no—
1081C2×#103—111no—
1082C2×#103—111no—
1083C2×#103—111no—
1084C2×#103—111no—
1085#408—111no—
1086#408—111no—
1087C2×C22⋊C8—111no—
1088C2×C22⋊C8—111no—
1089C22×C11—21no—
1090C22×C11—21no—
1091C22×C11—21no—
1092C22×C11—21no—
1093C22×C11—21no—
1094C22×C11—41no—
1095C22×C11—41no—
1096C22×C11—41no—
1097C22×C11—41no—
1098C22×C11—41no—
1099C22×C11—41no—
1100C22×C11—41no—
1101C22×C11—41no—
1102C22×C11—41no—
1103C22×C11—162no—
1104C22×C11—162no—
1105C22×C11#57712yes—
1106C22×C11C23×D411yescharacteristic
1107C2×D11—21no—
1108C2×D11—21no—
1109C2×D11—21no—
1110C2×D11—21no—
1111C2×D11—21no—
1112C2×D11—21no—
1113C2×D11—21no—
1114C2×D11—21no—
1115C2×D11—44no—
1116C2×D11—41no—
1117C2×D11—41no—
1118C2×D11—41no—
1119C2×D11—41no—
1120C2×D11—41no—
1121C2×D11—41no—
1122C2×D11—162no—
1123C2×D11—162no—
1124C2×D11#57712yes—
1125C4×C11—21no—
1126C4×C11—21no—
1127C4×C11—22no—
1128C4×C11—21no—
1129C4×C11—21no—
1130C4×C11—41no—
1131C4×C11—41no—
1132C4×C11—41no—
1133C4×C11—41no—
1134C4×C11C2×H(5,𝔽2)11yescharacteristic
1135C4×C11C2×H(5,𝔽2)11yescharacteristic
1136Dic11—21no—
1137Dic11—22no—
1138Dic11—21no—
1139Dic11—21no—
1140Dic11—21no—
1141Dic11—21no—
1142Dic11—41no—
1143Dic11—41no—
1144Dic11—41no—
1145Dic11—41no—
1146Dic11—41no—
11472−1+4—442no—
11482−1+4—442no—
1149C2×#41—111no—
1150C2×#41—111no—
1151C2×#41—111no—
1152C2×#41—111no—
1153C2×#41—221no—
1154C2×#41—221no—
1155C2×#41—221no—
1156C22×Q8—111no—
1157C22×Q8—111no—
1158C22×Q8—111no—
1159C22×Q8—111no—
1160C22×Q8—111no—
1161C22×Q8—111no—
1162C22×Q8—221no—
1163C22×Q8—221no—
1164C22×Q8—221no—
1165C22×Q8—221no—
1166C22×Q8—442no—
1167C22×Q8—442no—
1168C22×Q8C22×D1111yescharacteristic
1169C22×Q8C22×D1111yescharacteristic
1170C22×D4—21no—
1171C22×D4—111no—
1172C22×D4—111no—
1173C22×D4—221no—
1174C22×D4—221no—
1175C22×D4—221no—
1176C22×D4—221no—
1177C22×D4—221no—
1178C22×D4C22×D1111yescharacteristic
1179C22×D4C22×D1111yescharacteristic
1180C23×C4—111no—
1181C23×C4—221no—
1182AGL(1,ℤ/8)—442no—
1183AGL(1,ℤ/8)—442no—
1184C2×SD16—42no—
1185C2×SD16—42no—
1186C2×SD16—111no—
1187C2×SD16—111no—
1188C2×SD16—111no—
1189C2×SD16—111no—
1190C2×SD16—111no—
1191C2×SD16—111no—
1192C2×SD16—111no—
1193C2×SD16—111no—
1194C2×SD16—111no—
1195C2×SD16—111no—
1196C2×SD16—111no—
1197C2×SD16—442no—
1198C2×SD16—442no—
1199C2×SD16—442no—
1200C2×SD16—442no—
1201C2×SD16C22×D1111yescharacteristic
1202C2×SD16C22×D1111yescharacteristic
1203C2×SD16C22×D1111yescharacteristic
1204C2×SD16C22×D1111yescharacteristic
1205C2×SD16C22×D1111yescharacteristic
1206C2×SD16C22×D1111yescharacteristic
1207C2×SD16C22×D1111yescharacteristic
1208C2×SD16C22×D1111yescharacteristic
1209C2×SD16C22×D1111yescharacteristic
1210C2×D8—111no—
1211C2×D8—111no—
1212C2×D8—111no—
1213C2×D8—111no—
1214C2×M16—111no—
1215C2×M16—111no—
1216C22×C8—111no—
1217C22×C8—111no—
1218C22×C8—111no—
1219C22×C8—111no—
1220C22×C8C22×D1111yescharacteristic
1221C22×C8C22×D1111yescharacteristic
1222C4⋊Q8—21no—
1223C4⋊Q8—111no—
1224C4⋊Q8—221no—
1225C4⋊Q8—221no—
1226C4⋊Q8—221no—
1227C4⋊Q8—221no—
1228C4⋊Q8C22×D1111yescharacteristic
1229#127—111no—
1230#127—221no—
1231#127—221no—
1232#127C22×D1111yescharacteristic
1233#126—221no—
1234#126—221no—
1235#126—221no—
1236#126—221no—
1237#125—111no—
1238#125—111no—
1239#124—111no—
1240#124—111no—
1241#124—221no—
1242#124—221no—
1243#124—221no—
1244#124—221no—
1245#124—221no—
1246#124—221no—
1247#124—221no—
1248#123—111no—
1249#123—111no—
1250#123—221no—
1251#123—221no—
1252#123—221no—
1253#123—221no—
1254#123—221no—
1255#123—221no—
1256#123—221no—
1257#123—221no—
1258#123—221no—
1259#123—221no—
1260#123—221no—
1261#123—221no—
1262#123—221no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—111no—
1266C22⋊Q8—111no—
1267C22⋊Q8—111no—
1268C22⋊Q8—111no—
1269C22⋊Q8—111no—
1270C22⋊Q8—111no—
1271C22⋊Q8—221no—
1272C22⋊Q8—221no—
1273C22⋊Q8—221no—
1274C22⋊Q8—221no—
1275C22⋊Q8—221no—
1276C22⋊Q8—221no—
1277C22⋊Q8—221no—
1278C22⋊Q8—221no—
1279C22⋊Q8—221no—
1280C22⋊Q8—221no—
1281C22⋊Q8—221no—
1282C22⋊Q8—221no—
1283C22⋊Q8C22×D1111yescharacteristic
1284C22⋊Q8C22×D1111yescharacteristic
1285#121—21no—
1286#121—111no—
1287#121—111no—
1288#121—111no—
1289#121—111no—
1290#121—111no—
1291#121—111no—
1292#121—111no—
1293#121—111no—
1294#121—111no—
1295#121—111no—
1296#121—111no—
1297#121—111no—
1298#121—111no—
1299#121—111no—
1300#121—221no—
1301#121—221no—
1302#121—221no—
1303#121—221no—
1304#121—221no—
1305#121—221no—
1306#121—221no—
1307#121—221no—
1308#121—221no—
1309#121—221no—
1310#121—221no—
1311#121—221no—
1312#121—221no—
1313#121—221no—
1314#121—221no—
1315#121—221no—
1316#121—221no—
1317#121—221no—
1318#121—221no—
1319#121C22×D1111yescharacteristic
1320#121C22×D1111yescharacteristic
1321#120—21no—
1322#120—21no—
1323#120—111no—
1324#120—111no—
1325#120—221no—
1326#120—221no—
1327#120—221no—
1328#120—221no—
1329#120—221no—
1330#120—221no—
1331#120—221no—
1332#120—221no—
1333#120—221no—
1334#120—221no—
1335#120—221no—
1336C4×Q8—111no—
1337C4×Q8—111no—
1338C4×Q8—111no—
1339C4×Q8—221no—
1340C4×Q8—221no—
1341C4×Q8C22×D1111yescharacteristic
1342C4×D4—21no—
1343C4×D4—111no—
1344C4×D4—111no—
1345C4×D4—111no—
1346C4×D4—111no—
1347C4×D4—111no—
1348C4×D4—111no—
1349C4×D4—221no—
1350C4×D4—221no—
1351C4×D4—221no—
1352C4×D4—221no—
1353C4×D4—221no—
1354C4×D4—221no—
1355C4×D4—221no—
1356C4×D4—221no—
1357C4×D4—221no—
1358C4×D4—221no—
1359C4×D4—221no—
1360C4×D4—221no—
1361C4×D4—221no—
1362C4×D4C22×D1111yescharacteristic
1363C4×D4C22×D1111yescharacteristic
1364#117—111no—
1365#117—111no—
1366#117—111no—
1367#117—111no—
1368#117—221no—
1369#117—221no—
1370C2×C4⋊C4—111no—
1371C2×C4⋊C4—111no—
1372C2×C22⋊C4—221no—
1373C2×C22⋊C4—221no—
1374#107—111no—
1375#107—111no—
1376#107—111no—
1377#107—111no—
1378#106—111no—
1379#106—111no—
1380#106—111no—
1381#106C22×D1111yescharacteristic
1382C4⋊C8—111no—
1383C4⋊C8—111no—
1384C4⋊C8—111no—
1385C4⋊C8C22×D1111yescharacteristic
1386#103—111no—
1387#103—111no—
1388#103—111no—
1389#103—111no—
1390#103—111no—
1391#103—111no—
1392#103—111no—
1393#103—111no—
1394#103—111no—
1395#103—111no—
1396#103—111no—
1397#103—111no—
1398#103—111no—
1399#103—111no—
1400#103—111no—
1401#103—111no—
1402#103—111no—
1403#103C22×D1111yescharacteristic
1404#103C22×D1111yescharacteristic
1405#103C22×D1111yescharacteristic
1406#102—111no—
1407#102—111no—
1408#102—111no—
1409#102—111no—
1410#102—111no—
1411#102—111no—
1412#102—111no—
1413#102—111no—
1414#102—111no—
1415#102C22×D1111yescharacteristic
1416#102C22×D1111yescharacteristic
1417#102C22×D1111yescharacteristic
1418C22⋊C8—111no—
1419C22⋊C8—111no—
1420C22⋊C8—111no—
1421C22⋊C8—111no—
1422C22⋊C8—111no—
1423C22⋊C8—111no—
1424C22⋊C8—111no—
1425C22⋊C8—111no—
1426C22⋊C8—111no—
1427C22⋊C8—111no—
1428C22⋊C8C22×D1111yescharacteristic
1429C22⋊C8C22×D1111yescharacteristic
1430#97—111no—
1431#97—111no—
1432C4×C8—111no—
1433C4×C8C22×D1111yescharacteristic
1434C2×C11—22no—
1435C2×C11—41no—
1436C2×C11—81no—
1437C2×C11—81no—
1438C2×C11—81no—
1439C2×C11#348411yescharacteristic
1440C2×C11C2×#57711yescharacteristic
1441C2×C11C2×#57711yescharacteristic
1442D11—22no—
1443D11—41no—
1444D11—41no—
1445D11—81no—
1446D11—81no—
1447C24—21no—
1448C24—21no—
1449C24—111no—
1450C24—221no—
1451C24—221no—
1452#41—222no—
1453#41—222no—
1454#41—441no—
1455#41—441no—
1456#41—441no—
1457#41—444no—
1458#41—444no—
1459#41—441no—
1460#41—441no—
1461#41—441no—
1462#41—444no—
1463C2×Q8—21no—
1464C2×Q8—21no—
1465C2×Q8—22no—
1466C2×Q8—22no—
1467C2×Q8—41no—
1468C2×Q8—41no—
1469C2×Q8—111no—
1470C2×Q8—111no—
1471C2×Q8—111no—
1472C2×Q8—221no—
1473C2×Q8—221no—
1474C2×Q8—221no—
1475C2×Q8—221no—
1476C2×Q8—221no—
1477C2×Q8—222no—
1478C2×Q8—222no—
1479C2×Q8—222no—
1480C2×Q8—221no—
1481C2×Q8—222no—
1482C2×Q8—222no—
1483C2×Q8—222no—
1484C2×Q8—441no—
1485C2×Q8—444no—
1486C2×Q8—441no—
1487C2×Q8—441no—
1488C2×Q8—441no—
1489C2×Q8—441no—
1490C2×Q8—441no—
1491C2×Q8—444no—
1492C2×Q8—444no—
1493C2×Q8—444no—
1494C2×Q8C23×D1111yescharacteristic
1495C2×Q8C23×D1111yescharacteristic
1496C2×Q8C23×D1111yescharacteristic
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—41no—
1504C2×D4—41no—
1505C2×D4—41no—
1506C2×D4—41no—
1507C2×D4—82no—
1508C2×D4—111no—
1509C2×D4—111no—
1510C2×D4—111no—
1511C2×D4—111no—
1512C2×D4—111no—
1513C2×D4—111no—
1514C2×D4—111no—
1515C2×D4—111no—
1516C2×D4—221no—
1517C2×D4—221no—
1518C2×D4—221no—
1519C2×D4—221no—
1520C2×D4—221no—
1521C2×D4—221no—
1522C2×D4—221no—
1523C2×D4—221no—
1524C2×D4—221no—
1525C2×D4—221no—
1526C2×D4—221no—
1527C2×D4—221no—
1528C2×D4—221no—
1529C2×D4—221no—
1530C2×D4—221no—
1531C2×D4—221no—
1532C2×D4—221no—
1533C2×D4—221no—
1534C2×D4—221no—
1535C2×D4—441no—
1536C2×D4—441no—
1537C2×D4—441no—
1538C2×D4—441no—
1539C2×D4—882no—
1540C2×D4—882no—
1541C2×D4—882no—
1542C2×D4—882no—
1543C2×D4—882no—
1544C2×D4D4×D1111yescharacteristic
1545C2×D4C23×D1111yescharacteristic
1546C2×D4C23×D1111yescharacteristic
1547C2×D4C23×D1111yescharacteristic
1548C22×C4—21no—
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—111no—
1552C22×C4—111no—
1553C22×C4—111no—
1554C22×C4—111no—
1555C22×C4—111no—
1556C22×C4—111no—
1557C22×C4—221no—
1558C22×C4—221no—
1559C22×C4—221no—
1560C22×C4—221no—
1561C22×C4—221no—
1562C22×C4—221no—
1563C22×C4—221no—
1564C22×C4—221no—
1565C22×C4—221no—
1566C22×C4—221no—
1567C22×C4—221no—
1568C22×C4—221no—
1569C22×C4—221no—
1570C22×C4—221no—
1571C22×C4—441no—
1572C22×C4—441no—
1573C22×C4—444no—
1574C22×C4C23×D1111yescharacteristic
1575C22×C4C23×D1111yescharacteristic
1576SD16—22no—
1577SD16—22no—
1578SD16—22no—
1579SD16—41no—
1580SD16—41no—
1581SD16—41no—
1582SD16—41no—
1583SD16—41no—
1584SD16—41no—
1585SD16—222no—
1586SD16—222no—
1587SD16—222no—
1588SD16—222no—
1589SD16—222no—
1590SD16—441no—
1591SD16—441no—
1592SD16—441no—
1593SD16—441no—
1594SD16—441no—
1595SD16—441no—
1596D8—441no—
1597D8—441no—
1598D8—441no—
1599D8—441no—
1600M16—441no—
1601M16—441no—
1602C2×C8—41no—
1603C2×C8—41no—
1604C2×C8—111no—
1605C2×C8—111no—
1606C2×C8—111no—
1607C2×C8—111no—
1608C2×C8—441no—
1609C2×C8—441no—
1610C2×C8—441no—
1611C2×C8—441no—
1612C2×C8C23×D1111yescharacteristic
1613C2×C8C23×D1111yescharacteristic
1614C2×C8C23×D1111yescharacteristic
1615C2×C8C23×D1111yescharacteristic
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—111no—
1622C4⋊C4—111no—
1623C4⋊C4—111no—
1624C4⋊C4—111no—
1625C4⋊C4—111no—
1626C4⋊C4—111no—
1627C4⋊C4—111no—
1628C4⋊C4—111no—
1629C4⋊C4—111no—
1630C4⋊C4—221no—
1631C4⋊C4—221no—
1632C4⋊C4—221no—
1633C4⋊C4—221no—
1634C4⋊C4—221no—
1635C4⋊C4—221no—
1636C4⋊C4—221no—
1637C4⋊C4—221no—
1638C4⋊C4—221no—
1639C4⋊C4—221no—
1640C4⋊C4—221no—
1641C4⋊C4—221no—
1642C4⋊C4—221no—
1643C4⋊C4—221no—
1644C4⋊C4—221no—
1645C4⋊C4D4×D1111yescharacteristic
1646C4⋊C4C23×D1111yescharacteristic
1647C4⋊C4C23×D1111yescharacteristic
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—111no—
1654C22⋊C4—111no—
1655C22⋊C4—111no—
1656C22⋊C4—111no—
1657C22⋊C4—111no—
1658C22⋊C4—111no—
1659C22⋊C4—111no—
1660C22⋊C4—111no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4—221no—
1666C22⋊C4—221no—
1667C22⋊C4—221no—
1668C22⋊C4—221no—
1669C22⋊C4—221no—
1670C22⋊C4—221no—
1671C22⋊C4—221no—
1672C22⋊C4—221no—
1673C22⋊C4—221no—
1674C22⋊C4—221no—
1675C22⋊C4—221no—
1676C22⋊C4—221no—
1677C22⋊C4—221no—
1678C22⋊C4—221no—
1679C22⋊C4—221no—
1680C22⋊C4—221no—
1681C22⋊C4—221no—
1682C22⋊C4—221no—
1683C22⋊C4—221no—
1684C22⋊C4—221no—
1685C22⋊C4—221no—
1686C22⋊C4—221no—
1687C22⋊C4D4×D1111yescharacteristic
1688C22⋊C4D4×D1111yescharacteristic
1689C42—21no—
1690C42—111no—
1691C42—221no—
1692C42—221no—
1693C42—221no—
1694C42—221no—
1695C42—221no—
1696C42—221no—
1697C42C23×D1111yescharacteristic
1698C11#6163311yescharacteristic, complemented, Sylow
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—42no—
1703C23—81no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—81no—
1708C23—111no—
1709C23—111no—
1710C23—111no—
1711C23—222no—
1712C23—222no—
1713C23—221no—
1714C23—221no—
1715C23—441no—
1716C23—442no—
1717C23—881no—
1718C23—881no—
1719C23—881no—
1720C23—881no—
1721C23—881no—
1722C23C2×D4×D1111yescharacteristic
1723C23C2×D4×D1111yescharacteristic
1724Q8—21no—
1725Q8—21no—
1726Q8—21no—
1727Q8—21no—
1728Q8—21no—
1729Q8—42no—
1730Q8—42no—
1731Q8—112no—
1732Q8—224no—
1733Q8—221no—
1734Q8—221no—
1735Q8—221no—
1736Q8—441no—
1737Q8—442no—
1738Q8—442no—
1739Q8—442no—
1740Q8—442no—
1741Q8—442no—
1742Q8#6703712yes—
1743D4—22no—
1744D4—21no—
1745D4—21no—
1746D4—21no—
1747D4—21no—
1748D4—21no—
1749D4—21no—
1750D4—42no—
1751D4—81no—
1752D4—81no—
1753D4—81no—
1754D4—81no—
1755D4—81no—
1756D4—222no—
1757D4—222no—
1758D4—222no—
1759D4—221no—
1760D4—221no—
1761D4—221no—
1762D4—221no—
1763D4—441no—
1764D4—442no—
1765D4—442no—
1766D4—442no—
1767D4—441no—
1768D4—441no—
1769D4—442no—
1770D4—442no—
1771D4—442no—
1772D4—442no—
1773D4—442no—
1774D4—881no—
1775D4—881no—
1776D4—881no—
1777D4—881no—
1778D4—881no—
1779D4—881no—
1780D4—881no—
1781D4—881no—
1782D4—881no—
1783D4—881no—
1784D4—881no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—42no—
1795C2×C4—42no—
1796C2×C4—81no—
1797C2×C4—111no—
1798C2×C4—111no—
1799C2×C4—111no—
1800C2×C4—111no—
1801C2×C4—111no—
1802C2×C4—224no—
1803C2×C4—221no—
1804C2×C4—221no—
1805C2×C4—221no—
1806C2×C4—221no—
1807C2×C4—221no—
1808C2×C4—221no—
1809C2×C4—221no—
1810C2×C4—221no—
1811C2×C4—221no—
1812C2×C4—221no—
1813C2×C4—221no—
1814C2×C4—221no—
1815C2×C4—441no—
1816C2×C4—441no—
1817C2×C4—442no—
1818C2×C4—442no—
1819C2×C4—442no—
1820C2×C4—442no—
1821C2×C4—442no—
1822C2×C4—442no—
1823C2×C4—442no—
1824C2×C4—441no—
1825C2×C4—442no—
1826C2×C4—881no—
1827C2×C4—881no—
1828C2×C4—881no—
1829C2×C4—881no—
1830C2×C4—881no—
1831C2×C4C2×D4×D1111yescharacteristic
1832C2×C4C2×D4×D1111yescharacteristic
1833C2×C4C2×D4×D1111yescharacteristic
1834C2×C4C2×D4×D1111yescharacteristic
1835C2×C4C24×D1111yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—221no—
1841C8—221no—
1842C8—221no—
1843C8—221no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—112no—
1859C22—162no—
1860C22—162no—
1861C22—221no—
1862C22—221no—
1863C22—221no—
1864C22—221no—
1865C22—221no—
1866C22—221no—
1867C22—221no—
1868C22—221no—
1869C22—444no—
1870C22—441no—
1871C22—441no—
1872C22—441no—
1873C22—441no—
1874C22—441no—
1875C22—441no—
1876C22—1762no—
1877C22—1762no—
1878C22#1062329312yes—
1879C22C22×D4×D1111yescharacteristic
1880C4—21no—
1881C4—21no—
1882C4—22no—
1883C4—21no—
1884C4—21no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—221no—
1890C4—221no—
1891C4—221no—
1892C4—222no—
1893C4—221no—
1894C4—221no—
1895C4—441no—
1896C4—441no—
1897C4—441no—
1898C4—441no—
1899C4—441no—
1900C4C2×#6703711yescharacteristic
1901C4D11×H(5,𝔽2)11yescharacteristic
1902C2—22no—
1903C2—41no—
1904C2—81no—
1905C2—81no—
1906C2—81no—
1907C2—222no—
1908C2—441no—
1909C2—441no—
1910C2—881no—
1911C2—881no—
1912C2#1308224411yescharacteristic
1913C2D11×#57711yescharacteristic
1914C2C2×#1062329311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingD4×C11×SD16C2
socleC22×C11C23×D4
hypercenterD4×SD16D11
hypocenterC11#61633
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ D4×SD16

Complements

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

NH ≅ G/Ntype
1. #13082847C2semidirect
2. #13082266C2semidirect
3. #13080794C2semidirect
4. #13080793C2semidirect
5. #13080787C2semidirect
6. #13080780C2semidirect
7. #13080523C2semidirect
8. #13080522C2semidirect
9. #13080520C2semidirect
10. #13080513C2semidirect
11. #13080311C2semidirect
12. #13080310C2semidirect
13. SD16×C22⋊D11C2semidirect
14. #13080111C2semidirect
15. #13080109C2semidirect
16. #13080107C2semidirect
17. #13080106C2semidirect
18. #13079676C2semidirect
19. #13079670C2semidirect
20. #13079485C2semidirect
21. #13079482C2semidirect
22. #13079384C2semidirect
23. #13079382C2semidirect
24. #13078905C2semidirect
25. #13078904C2semidirect
26. #13077898C2semidirect
27. #13077897C2semidirect
28. C2×#10622783C2semidirect
29. D11×#448C2semidirect
30. #13077669C2semidirect
31. D4×C11×SD16C2semidirect
32. C2×#67040C22semidirect
33. C22×Q8×D11C22semidirect
34. C22×C11×SD16C22semidirect
35. C22×C11×SD16C22semidirect
36. D4×Q8×C11C22semidirect
38. #10623348C22semidirect
39. Q8×C22⋊D11C22semidirect
46. C22×#4324C22semidirect
47. C2×#66985C22semidirect
48. C2×#66967C22semidirect
49. C2×SD16×D11C22semidirect
50. C2×SD16×D11C22semidirect
51. C2×SD16×D11C22semidirect
53. #10623258C22semidirect
55. #10623255C22semidirect
59. #10623164C22semidirect
61. #10623163C22semidirect
63. #10623159C22semidirect
65. #10623158C22semidirect
76. #10623107C22semidirect
77. #10623103C22semidirect
82. #10623083C22semidirect
85. C11×#492C22semidirect
86. C11×#465C22semidirect
87. C11×#465C22semidirect
88. C11×#461C22semidirect
89. C11×#460C22semidirect
90. C11×#450C22semidirect
91. C11×#450C22semidirect
92. C11×#448C22semidirect
93. C11×#448C22semidirect
94. C4×C11×SD16C22semidirect
95. C8×D4×C11C22semidirect
96. #10622840C22semidirect
97. #10622840C22semidirect
98. #10622838C22semidirect
99. C2×#66899C22semidirect
100. #10622831C22semidirect
101. #10622830C22semidirect
102. #10622789C22semidirect
103. #10622788C22semidirect
104. #10622787C22semidirect
105. #10622785C22semidirect
106. #10622785C22semidirect
107. #10622785C22semidirect
108. #10622785C22semidirect
109. #10622785C22semidirect
110. #10622784C22semidirect
111. #10622784C22semidirect
112. #10622784C22semidirect
113. #10622783C22semidirect
114. #10622783C22semidirect
115. #10622783C22semidirect
116. #10622783C22semidirect
117. #10622783C22semidirect
118. #10622783C22semidirect
119. #10622783C22semidirect
120. #10622783C22semidirect
121. #10622783C22semidirect
122. #10622783C22semidirect
123. #10622783C22semidirect
124. #10622783C22semidirect
125. #10622782C22semidirect
126. #10622782C22semidirect
127. #10622778C22semidirect
128. #10622778C22semidirect
129. #10622777C22semidirect
130. #10622776C22semidirect
131. #10622775C22semidirect
132. #10622775C22semidirect
133. SD16×Dic11C22semidirect
134. #10622728C22semidirect
135. #10622727C22semidirect
136. #10622726C22semidirect
137. #10622724C22semidirect
138. #10622723C22semidirect
139. C8×C22⋊D11C22semidirect
140. C2×(C2×D11)⋊C8C22semidirect
141. C2×#66880C22semidirect
142. #10622696C22semidirect
143. #10622695C22semidirect
144. #10622688C22semidirect
145. #10622687C22semidirect
146. #10622662C22semidirect
147. #10622661C22semidirect
148. #10622658C22semidirect
149. #10622657C22semidirect
150. #10622655C22semidirect
151. #10622653C22semidirect
152. #10622651C22semidirect
153. #10622650C22semidirect
154. #10622639C22semidirect
155. #10622635C22semidirect
156. #10622631C22semidirect
157. #10622629C22semidirect
158. #10622624C22semidirect
159. #10622480C22semidirect
160. #10622479C22semidirect
161. #10622476C22semidirect
162. #10622470C22semidirect
163. #10622457C22semidirect
164. #10622453C22semidirect
165. #10622449C22semidirect
166. #10622442C22semidirect
167. #10622428C22semidirect
168. #10622424C22semidirect
169. #10622422C22semidirect
170. #10622419C22semidirect
171. #10622419C22semidirect
172. #10622417C22semidirect
173. #10622415C22semidirect
174. D11×#103C22semidirect
175. D11×#103C22semidirect
176. #10622413C22semidirect
177. #10622412C22semidirect
178. #10622410C22semidirect
179. #10622397C22semidirect
180. #10622393C22semidirect
181. #10622392C22semidirect
182. #10622392C22semidirect
183. #10622391C22semidirect
184. #10622389C22semidirect
185. #10622388C22semidirect
186. #10622388C22semidirect
187. #10622386C22semidirect
188. #10622375C22semidirect
189. #10622371C22semidirect
190. #10622370C22semidirect
191. #10622351C22semidirect
192. #10622348C22semidirect
193. #10622347C22semidirect
194. #10622341C22semidirect
195. #10622340C22semidirect
196. (C22⋊D11)⋊C8C22semidirect
197. D11×C22⋊C8C22semidirect
198. #10622336C22semidirect
199. #10622310C22semidirect
200. C4×#4314C22semidirect
201. #10622303C22semidirect
202. C8×D44C22semidirect
755. D4×SD16D11semidirect
926. C22×SD16C2×D11semidirect
927. C22×SD16C2×D11semidirect
939. D4×Q8C2×D11semidirect
974. #492C2×D11semidirect
1009. #465C2×D11semidirect
1010. #465C2×D11semidirect
1018. #461C2×D11semidirect
1022. #460C2×D11semidirect
1027. #450C2×D11semidirect
1028. #450C2×D11semidirect
1055. #448C2×D11semidirect
1056. #448C2×D11semidirect
1066. C4×SD16C2×D11semidirect
1074. C8×D4C2×D11semidirect
1698. C11#61633semidirect

Maximal subgroups

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

subgroupindex
#130828472
#130822662
#130807942
#130807932
#130807872
#130807802
#130805232
#130805222
#130805202
#130805132
#130803112
#130803102
SD16×C22⋊D112
#130801112
#130801092
#130801072
#130801062
#130796762
#130796702
#130794852
#130794822
#130793842
#130793822
#130789052
#130789042
#130778982
#130778972
C2×#106227832
D11×#4482
#130776692
D4×C11×SD162
#6163311