Finite Group Databasebeta

← #15646025

Subgroups — #15646025

Order 2816.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082565C211yesmaximal, characteristic, complemented
2#13082233C211yesmaximal, characteristic, complemented
3#13081613C211yesmaximal, characteristic, complemented
4#13081604C211yesmaximal, characteristic, complemented
5#13081313C211yesmaximal, characteristic, complemented
6#13081302C211yesmaximal, characteristic, complemented
7#13080508C211yesmaximal, characteristic, complemented
8#13080501C211yesmaximal, characteristic, complemented
9#13080479C211yesmaximal, characteristic, complemented
10#13080456C211yesmaximal, characteristic, complemented
11#13080449C211yesmaximal, characteristic, complemented
12#13080427C211yesmaximal, characteristic, complemented
13#13080361C211yesmaximal, characteristic, complemented
14#13080358C211yesmaximal, characteristic, complemented
15#13080350C211yesmaximal, characteristic, complemented
16#13080325C211yesmaximal, characteristic, complemented
17#13080316C211yesmaximal, characteristic, complemented
18#13080305C211yesmaximal, characteristic, complemented
19#13079970C211yesmaximal, characteristic, complemented
20#13079963C211yesmaximal, characteristic, complemented
21#13079952C211yesmaximal, characteristic, complemented
22#13079585C211yesmaximal, characteristic, complemented
23#13079583C211yesmaximal, characteristic, complemented
24#13079571C211yesmaximal, characteristic, complemented
25#13078701C211yesmaximal, characteristic, complemented
26#13078641C211yesmaximal, characteristic, complemented
27#13078070C211yesmaximal, characteristic, complemented
28C2×#10622641C211yesmaximal, characteristic, complemented
29D11×#464C211yesmaximal, characteristic, complemented
30#13077724C211yesmaximal, characteristic, complemented
31C11×#3108C211yesmaximal, characteristic, complemented
32C11×#529C2211yescharacteristic
33C2×C4×Q8×C11C2211yescharacteristic, complemented
34#10623348C2211yescharacteristic, complemented
35Q8×C22⋊D11C2211yescharacteristic
36C22×#4326C2211yescharacteristic, complemented
37C22×#4325C2211yescharacteristic
38C2×#66972C2211yescharacteristic, complemented
39C2×Q16×D11C2211yescharacteristic, complemented
40C2×#66969C2211yescharacteristic, complemented
41C2×SD16×D11C2211yescharacteristic
42#10623241—21no—
43#10623235—21no—
44#10623222C2211yescharacteristic
45#10623222C2211yescharacteristic
46D11×#124C2211yescharacteristic
47#10623199C2211yescharacteristic
48#10623189—21no—
49#10623185—21no—
50#10623163C2211yescharacteristic
51#10623161C2211yescharacteristic
52#10623140C2211yescharacteristic
53#10623129C2211yescharacteristic
54#10623112—21no—
55#10623112C2211yescharacteristic, complemented
56#10623111—21no—
57#10623111C2211yescharacteristic, complemented
58#10623109—21no—
59#10623109C2211yescharacteristic, complemented
60#10623107C2211yescharacteristic
61#10623107C2211yescharacteristic, complemented
62C4×#4343C2211yescharacteristic, complemented
63C4×Q8×D11C2211yescharacteristic, complemented
64#10623100C2211yescharacteristic, complemented
65#10623099—21no—
66#10623099C2211yescharacteristic
67#10623099C2211yescharacteristic, complemented
68#10623091—21no—
69#10623090C2211yescharacteristic
70#10623085C2211yescharacteristic
71#10623076—21no—
72#10623063—21no—
73#10623058—21no—
74#10623044—21no—
75#10623044C2211yescharacteristic, complemented
76#10623038—21no—
77#10623038C2211yescharacteristic
78#10623010—21no—
79#10623010C2211yescharacteristic, complemented
80C2×#66928C2211yescharacteristic
81C4×#4339—21no—
82C4×#4339C2211yescharacteristic
83C11×#483C2211yescharacteristic, complemented
84C11×#480C2211yescharacteristic
85C11×#479C2211yescharacteristic, complemented
86C11×#479C2211yescharacteristic, complemented
87C11×#464C2211yescharacteristic, complemented
88C11×#464C2211yescharacteristic, complemented
89C11×#451C2211yescharacteristic, complemented
90C11×#448C2211yescharacteristic
91C4×C11×Q16C2211yescharacteristic, complemented
92C4×C11×Q16C2211yescharacteristic, complemented
93C4×C11×SD16C2211yescharacteristic, complemented
94C4×C11×SD16C2211yescharacteristic, complemented
95C11×#431C2211yescharacteristic, complemented
96#10622804C2211yescharacteristic
97#10622800C2211yescharacteristic, complemented
98#10622799C2211yescharacteristic, complemented
99#10622798C2211yescharacteristic
100#10622795C2211yescharacteristic, complemented
101#10622794C2211yescharacteristic, complemented
102#10622788C2211yescharacteristic
103#10622786C2211yescharacteristic, complemented
104#10622782C2211yescharacteristic
105#10622781C2211yescharacteristic, complemented
106#10622779C2211yescharacteristic, complemented
107#10622776C2211yescharacteristic
108#10622679C2211yescharacteristic, complemented
109#10622676C2211yescharacteristic, complemented
110#10622670C2211yescharacteristic, complemented
111#10622667C2211yescharacteristic, complemented
112#10622664C2211yescharacteristic, complemented
113#10622661C2211yescharacteristic, complemented
114#10622654C2211yescharacteristic
115#10622651C2211yescharacteristic
116#10622641C2211yescharacteristic
117#10622641C2211yescharacteristic
118#10622641C2211yescharacteristic
119#10622641C2211yescharacteristic
120#10622641C2211yescharacteristic, complemented
121#10622641C2211yescharacteristic, complemented
122#10622641C2211yescharacteristic, complemented
123#10622641C2211yescharacteristic, complemented
124#10622641C2211yescharacteristic, complemented
125#10622635C2211yescharacteristic, complemented
126#10622629C2211yescharacteristic, complemented
127#10622622C2211yescharacteristic, complemented
128C2×#66874C2211yescharacteristic, complemented
129C2×#66873C2211yescharacteristic
130C2×C4⋊(C11⋊C8)C2211yescharacteristic, complemented
131#10622503C2211yescharacteristic
132#10622501C2211yescharacteristic, complemented
133#10622500C2211yescharacteristic, complemented
134#10622496C2211yescharacteristic
135#10622495C2211yescharacteristic
136#10622490C2211yescharacteristic, complemented
137#10622486C2211yescharacteristic, complemented
138#10622485C2211yescharacteristic
139#10622484C2211yescharacteristic, complemented
140#10622479C2211yescharacteristic
141#10622477C2211yescharacteristic
142#10622477C2211yescharacteristic, complemented
143#10622475C2211yescharacteristic, complemented
144#10622467C2211yescharacteristic, complemented
145#10622465C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic
148#10622458C2211yescharacteristic, complemented
149#10622457C2211yescharacteristic
150#10622457C2211yescharacteristic, complemented
151#10622446C2211yescharacteristic, complemented
152#10622446C2211yescharacteristic, complemented
153D11×C4⋊C8C2211yescharacteristic, complemented
154D11×C4⋊C8C2211yescharacteristic, complemented
155#10622432C2211yescharacteristic, complemented
156#10622431C2211yescharacteristic
157#10622431C2211yescharacteristic, complemented
158#10622426C2211yescharacteristic, complemented
159#10622426C2211yescharacteristic, complemented
160#10622424C2211yescharacteristic
161#10622423C2211yescharacteristic, complemented
162#10622423C2211yescharacteristic, complemented
163#10622421C2211yescharacteristic, complemented
164#10622420C2211yescharacteristic
165#10622420C2211yescharacteristic
166#10622419C2211yescharacteristic
167#10622419C2211yescharacteristic, complemented
168#10622417C2211yescharacteristic, complemented
169D11×#103C2211yescharacteristic, complemented
170#10622413C2211yescharacteristic
171#10622411C2211yescharacteristic
172#10622411C2211yescharacteristic, complemented
173#10622406C2211yescharacteristic, complemented
174#10622405C2211yescharacteristic, complemented
175#10622403C2211yescharacteristic, complemented
176#10622403C2211yescharacteristic, complemented
177#10622401C2211yescharacteristic
178#10622401C2211yescharacteristic, complemented
179#10622399C2211yescharacteristic
180#10622396C2211yescharacteristic, complemented
181#10622386C2211yescharacteristic
182#10622385C2211yescharacteristic, complemented
183D11×#102C2211yescharacteristic
184#10622381C2211yescharacteristic, complemented
185#10622380C2211yescharacteristic, complemented
186#10622373C2211yescharacteristic
187#10622352C2211yescharacteristic, complemented
188#10622351C2211yescharacteristic, complemented
189#10622345C2211yescharacteristic
190#10622344C2211yescharacteristic
191(C22⋊D11)⋊C8C2211yescharacteristic
192(C22⋊D11)⋊C8C2211yescharacteristic
193(C22⋊D11)⋊C8C2211yescharacteristic, complemented
194(C22⋊D11)⋊C8C2211yescharacteristic, complemented
195#10622310C2211yescharacteristic
196#10622310C2211yescharacteristic, complemented
197#10622309C2211yescharacteristic
198#10622309C2211yescharacteristic, complemented
199C8×D44C2211yescharacteristic, complemented
200C8×D44C2211yescharacteristic, complemented
201C8×Dic22C2211yescharacteristic, complemented
202C8×Dic22C2211yescharacteristic, complemented
203C22×Q8×C11C2311yescharacteristic
204C2×#4343C2311yescharacteristic
205C2×#4343C2311yescharacteristic
206C2×Q8×D11C2311yescharacteristic
207C2×Q8×D11C2311yescharacteristic
208C2×#4341C2311yescharacteristic
209C2×D4×D11—21no—
210C2×D4×D11C2311yescharacteristic
211C2×#4339—21no—
212C2×#4339D411yescharacteristic
213C22×D44C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C2×C11×Q16C2311yescharacteristic
216C2×C11×Q16C2311yescharacteristic
217C2×C11×SD16C2311yescharacteristic
218C2×C11×SD16C2311yescharacteristic
219C11×#126—21no—
220C11×#125C2311yescharacteristic
221C11×#124C2311yescharacteristic
222C11×#123—21no—
223C11×C22⋊Q8C2311yescharacteristic
224C11×#121C2311yescharacteristic
225C4×Q8×C11—21no—
226C4×Q8×C11—21no—
227C4×Q8×C11C2311yescharacteristic
228C4×Q8×C11C2311yescharacteristic
229C4×Q8×C11C2311yescharacteristic
230C4×Q8×C11C2311yescharacteristic
231C4×Q8×C11C2311yescharacteristic
232C4×D4×C11—21no—
233C4×D4×C11C2311yescharacteristic
234C11×#117—21no—
235C2×C11×C4⋊C4—21no—
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C42×C11—21no—
238C2×C42×C11C2311yescharacteristic
239#67000—21no—
240#67000C2311yescharacteristic
241#67000C2311yescharacteristic
242#66999—21no—
243#66999—21no—
244#66999C2311yescharacteristic
245#66999C2311yescharacteristic
246Q8×Dic11C2311yescharacteristic
247Q8×Dic11C2311yescharacteristic
248#66997—21no—
249#66997C2311yescharacteristic
250#66997C2311yescharacteristic
251C2×#4326—42no—
252C2×#4326C2311yescharacteristic
253C2×#4326C2311yescharacteristic
254C2×#4326C2311yescharacteristic
255C2×#4326C2311yescharacteristic
256C2×#4326C2311yescharacteristic
257C2×#4325—42no—
258C2×#4325C2311yescharacteristic
259C2×#4325C2311yescharacteristic
260C2×#4325C2311yescharacteristic
261C2×#4325C2311yescharacteristic
262C2×#4325C2311yescharacteristic
263#66993C2311yescharacteristic
264#66992—21no—
265#66990—21no—
266#66989C2311yescharacteristic
267D4×Dic11—21no—
268C2×#4324C2311yescharacteristic
269C2×#4323C2311yescharacteristic
270#66983—21no—
271#66983—21no—
272#66983C2311yescharacteristic
273#66982—21no—
274#66982—21no—
275#66982—21no—
276#66982—21no—
277C4×C22⋊D11—21no—
278C4×C22⋊D11—21no—
279C4×C22⋊D11—21no—
280C4×C22⋊D11—21no—
281C4×C22⋊D11D411yescharacteristic
282C4×C22⋊D11D411yescharacteristic
283C4×C22⋊D11C2311yescharacteristic
284C4×C22⋊D11C2311yescharacteristic
285C2×(C2×D11)⋊C4—21no—
286C2×(C2×D11)⋊C4—21no—
287C2×(C2×D11)⋊C4—21no—
288#66979—21no—
289#66979D411yescharacteristic
290#66977—21no—
291#66977C2311yescharacteristic
292C22×C11⋊C8C2311yescharacteristic
293C22×C11⋊C8C2311yescharacteristic
294#66972—42no—
295Q16×D11—42no—
296#66969—42no—
297SD16×D11—42no—
298C2×Dic44C2311yescharacteristic
299C2×Dic44C2311yescharacteristic
300C2×D88C2311yescharacteristic
301C2×D88C2311yescharacteristic
302C2×#4314C2311yescharacteristic
303C2×#4314C2311yescharacteristic
304C2×#4314C2311yescharacteristic
305C2×#4314C2311yescharacteristic
306C2×C8×D11C2311yescharacteristic
307C2×C8×D11C2311yescharacteristic
308C2×C8×D11C2311yescharacteristic
309C2×C8×D11C2311yescharacteristic
310#66951—21no—
311#66951—21no—
312#66951—21no—
313#66951—21no—
314#66951—21no—
315#66951—21no—
316#66950—21no—
317#66950—21no—
318#66950C2311yescharacteristic
319#66950C2311yescharacteristic
320#66950C2311yescharacteristic
321#66949—21no—
322#66949—21no—
323#66949—21no—
324#66949—21no—
325#66949—21no—
326#66948—21no—
327#66948—21no—
328#66948—21no—
329#66948C2311yescharacteristic
330#66948C2311yescharacteristic
331#66948C2311yescharacteristic
332#66947—21no—
333#66947—21no—
334#66947—21no—
335#66947—21no—
336#66947—21no—
337#66947—21no—
338#66946—21no—
339#66946—21no—
340#66946—21no—
341#66946C2311yescharacteristic
342#66946C2311yescharacteristic
343#66946C2311yescharacteristic
344#66945—21no—
345#66945—21no—
346#66945—21no—
347#66945C2311yescharacteristic
348C4⋊C4×D11—21no—
349C4⋊C4×D11C2311yescharacteristic
350#66943—21no—
351#66943C2311yescharacteristic
352#66942—21no—
353#66942—21no—
354#66942—21no—
355#66941—21no—
356#66941—21no—
357#66941C2311yescharacteristic
358#66940—21no—
359#66940C2311yescharacteristic
360#66940C2311yescharacteristic
361#66940C2311yescharacteristic
362#66939—21no—
363#66938—21no—
364#66938—21no—
365#66938—21no—
366#66938—21no—
367#66937—21no—
368#66937—21no—
369#66937—21no—
370#66936—21no—
371#66935—21no—
372#66935—21no—
373#66935—21no—
374(C22⋊D11)⋊C4—21no—
375(C22⋊D11)⋊C4—21no—
376(C22⋊D11)⋊C4—21no—
377C22⋊C4×D11—21no—
378C22⋊C4×D11—21no—
379C22⋊C4×D11—21no—
380#66931—21no—
381#66931—21no—
382#66929—21no—
383#66929—21no—
384#66929—21no—
385#66929—21no—
386#66928—21no—
387#66928—21no—
388#66928—21no—
389#66928—21no—
390#66928C2311yescharacteristic
391#66928C2311yescharacteristic
392#66928C2311yescharacteristic
393#66928C2311yescharacteristic
394#66928C2311yescharacteristic
395C4×D44—21no—
396C4×D44—21no—
397C4×D44—21no—
398C4×D44—21no—
399C4×D44D411yescharacteristic
400C4×D44C2311yescharacteristic
401C4×D44C2311yescharacteristic
402#66925—21no—
403#66925—21no—
404#66925—21no—
405#66925—21no—
406#66925—21no—
407#66925—21no—
408#66925D411yescharacteristic
409#66925D411yescharacteristic
410C42×D11—21no—
411C42×D11—21no—
412C42×D11C2311yescharacteristic
413C42×D11C2311yescharacteristic
414#66923—21no—
415#66923C2311yescharacteristic
416C4×Dic22—21no—
417C4×Dic22—21no—
418C4×Dic22—21no—
419C4×Dic22D411yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×#107C2311yescharacteristic
423C11×#107C2311yescharacteristic
424C11×#106C2311yescharacteristic
425C11×#106C2311yescharacteristic
426C11×C4⋊C8C2311yescharacteristic
427C11×C4⋊C8C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#103C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×C22⋊C8C2311yescharacteristic
437C11×C22⋊C8C2311yescharacteristic
438C4×C8×C11C2311yescharacteristic
439C4×C8×C11C2311yescharacteristic
440#66899C2311yescharacteristic
441#66899C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66885C2311yescharacteristic
445#66885C2311yescharacteristic
446#66885C2311yescharacteristic
447#66885C2311yescharacteristic
448(C2×D11)⋊C8C2311yescharacteristic
449(C2×D11)⋊C8C2311yescharacteristic
450(C2×D11)⋊C8C2311yescharacteristic
451(C2×D11)⋊C8C2311yescharacteristic
452#66880C2311yescharacteristic
453#66880C2311yescharacteristic
454#66880C2311yescharacteristic
455#66880C2311yescharacteristic
456Dic11⋊C8C2311yescharacteristic
457Dic11⋊C8C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460C8×Dic11C2311yescharacteristic
461C8×Dic11C2311yescharacteristic
462C8×Dic11C2311yescharacteristic
463C8×Dic11C2311yescharacteristic
464#66874C2311yescharacteristic
465#66874C2311yescharacteristic
466#66874C2311yescharacteristic
467#66874C2311yescharacteristic
468#66874C2311yescharacteristic
469#66874C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66872C2311yescharacteristic
477#66872C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483C4⋊(C11⋊C8)C2311yescharacteristic
484#61956—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11—21no—
487C2×Q8×C11—21no—
488C2×Q8×C11—22no—
489C2×Q8×C11—41no—
490C2×Q8×C11C2411yescharacteristic
491C2×Q8×C11C2411yescharacteristic
492C2×Q8×C11C2411yescharacteristic
493C2×D4×C11—21no—
494C2×D4×C11C2411yescharacteristic
495C22×C4×C11—21no—
496C22×C4×C11—21no—
497C22×C4×C11—21no—
498C22×C4×C11C2×D411yescharacteristic
499C22×C4×C11C2×D411yescharacteristic
500C22×C4×C11C2411yescharacteristic
501C2×C22⋊D11—21no—
502C2×C22⋊D11—21no—
503C2×C22⋊D11—21no—
504C2×C22⋊D11—21no—
505C2×C22⋊D11—21no—
506C2×C22⋊D11C2×D411yescharacteristic
507C2×C22⋊D11C2×D411yescharacteristic
508C22×Dic11—21no—
509C22×Dic11—21no—
510#4343—22no—
511#4343—41no—
512#4343—41no—
513#4343—41no—
514Q8×D11—22no—
515Q8×D11—41no—
516Q8×D11—41no—
517Q8×D11—41no—
518#4341—41no—
519#4341—41no—
520D4×D11—41no—
521D4×D11—41no—
522D4×D11—44no—
523#4339—24no—
524#4339—44no—
525C2×D44—21no—
526C2×D44—21no—
527C2×D44—21no—
528C2×D44—21no—
529C2×D44—21no—
530C2×D44—21no—
531C2×D44—41no—
532C2×D44—41no—
533C2×D44C2×D411yescharacteristic
534C2×D44C2411yescharacteristic
535C2×D44C2411yescharacteristic
536C2×D44C2411yescharacteristic
537C2×C4×D11—21no—
538C2×C4×D11—21no—
539C2×C4×D11—21no—
540C2×C4×D11—21no—
541C2×C4×D11—21no—
542C2×C4×D11—21no—
543C2×C4×D11—21no—
544C2×C4×D11—21no—
545C2×C4×D11—21no—
546C2×C4×D11C2×D411yescharacteristic
547C2×C4×D11C2×D411yescharacteristic
548C2×C4×D11C2×D411yescharacteristic
549C2×C4×D11C2×D411yescharacteristic
550C2×C4×D11C2411yescharacteristic
551C2×C4×D11C2411yescharacteristic
552C2×Dic22—21no—
553C2×Dic22—21no—
554C2×Dic22—21no—
555C2×Dic22—21no—
556C2×Dic22—41no—
557C2×Dic22—41no—
558C2×Dic22C2×D411yescharacteristic
559C2×Dic22C2411yescharacteristic
560C2×Dic22C2411yescharacteristic
561C2×Dic22C2411yescharacteristic
562C11×Q16—22no—
563C11×Q16—41no—
564C11×SD16—22no—
565C11×SD16—41no—
566C2×C8×C11C2411yescharacteristic
567C2×C8×C11C2411yescharacteristic
568C2×C8×C11C2411yescharacteristic
569C2×C8×C11C2411yescharacteristic
570C11×C4⋊C4—21no—
571C11×C4⋊C4—21no—
572C11×C4⋊C4—21no—
573C11×C4⋊C4—21no—
574C11×C4⋊C4—21no—
575C11×C4⋊C4—21no—
576C11×C4⋊C4—21no—
577C11×C4⋊C4—21no—
578C11×C4⋊C4—21no—
579C11×C4⋊C4C2411yescharacteristic
580C11×C4⋊C4C2411yescharacteristic
581C11×C4⋊C4C2411yescharacteristic
582C11×C4⋊C4C2411yescharacteristic
583C11×C22⋊C4—21no—
584C11×C22⋊C4—21no—
585C11×C22⋊C4—21no—
586C11×C22⋊C4—21no—
587C11×C22⋊C4—21no—
588C42×C11—21no—
589C42×C11—21no—
590C42×C11—21no—
591C42×C11—21no—
592C42×C11—21no—
593C42×C11C2×D411yescharacteristic
594C42×C11C2×D411yescharacteristic
595C42×C11C2411yescharacteristic
596C42×C11C2411yescharacteristic
597C22⋊Dic11—21no—
598C22⋊Dic11—21no—
599C22⋊Dic11—21no—
600C22⋊Dic11C2×D411yescharacteristic
601C22⋊Dic11C2×D411yescharacteristic
602#4326—22no—
603#4326—22no—
604#4326—41no—
605#4326—41no—
606#4326—41no—
607#4325—22no—
608#4325—22no—
609#4325—41no—
610#4325—41no—
611#4325—41no—
612#4324—41no—
613#4323—41no—
614(C2×D11)⋊C4—21no—
615(C2×D11)⋊C4—21no—
616(C2×D11)⋊C4—21no—
617(C2×D11)⋊C4—21no—
618(C2×D11)⋊C4—21no—
619(C2×D11)⋊C4—21no—
620(C2×D11)⋊C4—21no—
621(C2×D11)⋊C4—21no—
622(C2×D11)⋊C4—21no—
623(C2×D11)⋊C4—21no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4—21no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
642(C2×D11)⋊C4C2×D411yescharacteristic
643(C2×D11)⋊C4C2×D411yescharacteristic
644(C2×D11)⋊C4C2×D411yescharacteristic
645(C2×D11)⋊C4C2×D411yescharacteristic
646C4⋊Dic11—21no—
647C4⋊Dic11—21no—
648C4⋊Dic11—21no—
649C4⋊Dic11—21no—
650C4⋊Dic11—21no—
651C4⋊Dic11—21no—
652C4⋊Dic11C2×D411yescharacteristic
653C4⋊Dic11C2×D411yescharacteristic
654C4⋊Dic11C2411yescharacteristic
655C4⋊Dic11C2411yescharacteristic
656Dic11⋊C4—21no—
657Dic11⋊C4—21no—
658Dic11⋊C4—21no—
659Dic11⋊C4—21no—
660Dic11⋊C4—21no—
661Dic11⋊C4—21no—
662Dic11⋊C4—21no—
663Dic11⋊C4—21no—
664Dic11⋊C4—21no—
665Dic11⋊C4—21no—
666Dic11⋊C4—21no—
667Dic11⋊C4—21no—
668Dic11⋊C4—21no—
669Dic11⋊C4—21no—
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4C2×D411yescharacteristic
673Dic11⋊C4C2×D411yescharacteristic
674Dic11⋊C4C2×D411yescharacteristic
675Dic11⋊C4C2×D411yescharacteristic
676C4×Dic11—21no—
677C4×Dic11—21no—
678C4×Dic11—21no—
679C4×Dic11—21no—
680C4×Dic11—21no—
681C4×Dic11—21no—
682C4×Dic11—21no—
683C4×Dic11C2×D411yescharacteristic
684C4×Dic11C2×D411yescharacteristic
685C4×Dic11C2×D411yescharacteristic
686C4×Dic11C2×D411yescharacteristic
687C4×Dic11C2411yescharacteristic
688C4×Dic11C2411yescharacteristic
689C2×C11⋊C8—41no—
690C2×C11⋊C8—41no—
691C2×C11⋊C8C2411yescharacteristic
692C2×C11⋊C8C2411yescharacteristic
693C2×C11⋊C8C2411yescharacteristic
694C2×C11⋊C8C2411yescharacteristic
695Dic44—41no—
696Dic44—41no—
697D88—41no—
698D88—41no—
699#4314—41no—
700#4314—41no—
701#4314—41no—
702#4314—41no—
703C8×D11—41no—
704C8×D11—41no—
705C8×D11—41no—
706C8×D11—41no—
707#3514—111no—
708#3482—111no—
709#3394—111no—
710#3393—111no—
711#3365—111no—
712#3364—111no—
713#3300—111no—
714#3300—111no—
715#3298—111no—
716#3296—111no—
717#3296—111no—
718#3294—111no—
719D4×Q16—111no—
720#3285—111no—
721#3285—111no—
722#3282—111no—
723#3282—111no—
724D4×SD16—111no—
725#3250—111no—
726#3250—111no—
727#3248—111no—
728#3211—111no—
729#3211—111no—
730#3210—111no—
731#3108—111no—
732#3108D1111yescharacteristic, complemented
733#3102—111no—
734#3035—111no—
735C2×#464—111no—
736C2×#464—111no—
737#2988—111no—
738C23×C11—21no—
739C23×C11C22×D411yescharacteristic
740C22×D11—21no—
741C22×D11—21no—
742C22×D11—21no—
743C22×D11—42no—
744C22×D11—42no—
745C22×D11—81no—
746C22×D11—81no—
747C22×D11—81no—
748C22×D11—81no—
749C22×D11C22×D411yescharacteristic
750C22×D11C22×D411yescharacteristic
751Q8×C11—21no—
752Q8×C11—21no—
753Q8×C11—21no—
754Q8×C11—21no—
755Q8×C11—21no—
756Q8×C11—42no—
757Q8×C11H(5,𝔽2)12yes—
758D4×C11—21no—
759D4×C11—21no—
760D4×C11—42no—
761C2×C4×C11—22no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11—41no—
772C2×C4×C11—42no—
773C2×C4×C11—42no—
774C2×C4×C11—81no—
775C2×C4×C11C22×D411yescharacteristic
776C2×C4×C11C22×D411yescharacteristic
777C2×C4×C11C22×D411yescharacteristic
778C2×C4×C11C22×D411yescharacteristic
779C2×C4×C11C22×D411yescharacteristic
780C2×C4×C11C2511yescharacteristic
781C22⋊D11—22no—
782C22⋊D11—42no—
783C22⋊D11—42no—
784C22⋊D11—81no—
785C22⋊D11—81no—
786C22⋊D11—81no—
787C22⋊D11#13514yescomplemented
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—81no—
794C2×Dic11—81no—
795C2×Dic11C22×D411yescharacteristic
796C2×Dic11C22×D411yescharacteristic
797C2×Dic11C22×D411yescharacteristic
798C2×Dic11C22×D411yescharacteristic
799C2×Dic11C22×D411yescharacteristic
800C2×Dic11C22×D411yescharacteristic
801D44—22no—
802D44—21no—
803D44—21no—
804D44—21no—
805D44—21no—
806D44—21no—
807D44—21no—
808D44—42no—
809D44—42no—
810D44—42no—
811D44—81no—
812D44—81no—
813D44—81no—
814C4×D11—22no—
815C4×D11—21no—
816C4×D11—21no—
817C4×D11—21no—
818C4×D11—21no—
819C4×D11—22no—
820C4×D11—41no—
821C4×D11—41no—
822C4×D11—42no—
823C4×D11—42no—
824C4×D11—42no—
825C4×D11—42no—
826C4×D11—42no—
827C4×D11—42no—
828C4×D11—81no—
829C4×D11—81no—
830C4×D11—81no—
831Dic22—22no—
832Dic22—21no—
833Dic22—21no—
834Dic22—21no—
835Dic22—21no—
836Dic22—21no—
837Dic22—21no—
838Dic22—42no—
839Dic22—42no—
840Dic22—81no—
841Dic22—81no—
842C8×C11—21no—
843C8×C11—21no—
844C8×C11—21no—
845C8×C11—21no—
846C11⋊C8—21no—
847C11⋊C8—21no—
848C11⋊C8—21no—
849C11⋊C8—21no—
850C2×#135—111no—
851C2×#135—111no—
852C22×Q16—111no—
853C22×Q16—111no—
854C22×SD16—111no—
855C22×SD16—111no—
856#559—111no—
857#557—111no—
858#556—111no—
859#556—111no—
860#556—221no—
861#555—221no—
862#552—111no—
863#552—111no—
864#552—221no—
865#552—221no—
866#551—221no—
867#551—221no—
868D4×Q8—111no—
869D4×Q8—111no—
870#548—111no—
871#548—111no—
872#548—111no—
873#548—111no—
874#547—111no—
875#547—221no—
876#546—111no—
877#546—111no—
878#546—221no—
879D42—111no—
880#542—221no—
881#538—221no—
882#538—221no—
883#533—111no—
884#533—221no—
885#532—111no—
886#529—111no—
887#529—111no—
888#529—111no—
889#529—111no—
890#529—221no—
891#529—221no—
892#529C2×D1111yescharacteristic
893C2×#124—111no—
894C2×#124—111no—
895#518—221no—
896C4×#41—111no—
897C4×#41—111no—
898C4×#41—221no—
899C2×C4×Q8—111no—
900C2×C4×Q8C2×D1111yescharacteristic, complemented
901#495—111no—
902#495—111no—
903#495—111no—
904#495—111no—
905#494—111no—
906#492—111no—
907#488—111no—
908#488—111no—
909#488—111no—
910#488—111no—
911#487—111no—
912#486—111no—
913#485—111no—
914#483—111no—
915#483C2×D1111yescharacteristic, complemented
916#482—111no—
917#480—111no—
918#480C2×D1111yescharacteristic
919#479—111no—
920#479—111no—
921#479—111no—
922#479C2×D1111yescharacteristic, complemented
923#479C2×D1111yescharacteristic, complemented
924#478—111no—
925#478—111no—
926#478—111no—
927#475—111no—
928#474—111no—
929#467—111no—
930#467—111no—
931#467—111no—
932#467—111no—
933#466—111no—
934#466—111no—
935#465—111no—
936#465—111no—
937#465—111no—
938#465—111no—
939#465—111no—
940#465—111no—
941#464—111no—
942#464—111no—
943#464—111no—
944#464—111no—
945#464—111no—
946#464—111no—
947#464—111no—
948#464—111no—
949#464—111no—
950#464—111no—
951#464—111no—
952#464—111no—
953#464—111no—
954#464—111no—
955#464—111no—
956#464—111no—
957#464—111no—
958#464C2×D1111yescharacteristic, complemented
959#464C2×D1111yescharacteristic, complemented
960#463—111no—
961#463—111no—
962#463—111no—
963#463—111no—
964#463—111no—
965#462—111no—
966#462—111no—
967#461—111no—
968#461—111no—
969#460—111no—
970#459—111no—
971#452—111no—
972#452—111no—
973#452—111no—
974#452—111no—
975#452—111no—
976#451—111no—
977#451—111no—
978#451—111no—
979#451C2×D1111yescharacteristic, complemented
980#450—111no—
981#450—111no—
982#449—111no—
983#448—111no—
984#448—111no—
985#448—111no—
986#448C2×D1111yescharacteristic
987#447—111no—
988#447—111no—
989C8×Q8—111no—
990C8×Q8—111no—
991C4×Q16—111no—
992C4×Q16—111no—
993C4×Q16—111no—
994C4×Q16C2×D1111yescharacteristic, complemented
995C4×Q16C2×D1111yescharacteristic, complemented
996C4×SD16—111no—
997C4×SD16—111no—
998C4×SD16—111no—
999C4×SD16—111no—
1000C4×SD16C2×D1111yescharacteristic, complemented
1001C4×SD16C2×D1111yescharacteristic, complemented
1002C4×D8—111no—
1003C8×D4—111no—
1004C8×D4—111no—
1005C8×D4—111no—
1006C8×D4—111no—
1007C8×D4—111no—
1008C8×D4—111no—
1009#431—111no—
1010#431—111no—
1011#431C2×D1111yescharacteristic, complemented
1012C2×C4⋊C8—111no—
1013C2×C4⋊C8—111no—
1014C2×C4⋊C8—111no—
1015#416—111no—
1016#416—111no—
1017C2×#103—111no—
1018C2×#103—111no—
1019C2×#102—111no—
1020C2×#102—111no—
1021C22×C11—21no—
1022C22×C11—21no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11C2×#13512yes—
1027C22×C11C23×D411yescharacteristic
1028C2×D11—21no—
1029C2×D11—21no—
1030C2×D11—21no—
1031C2×D11—21no—
1032C2×D11—21no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—162no—
1043C2×D11—162no—
1044C2×D11C2×#13512yes—
1045C4×C11—21no—
1046C4×C11—21no—
1047C4×C11—21no—
1048C4×C11—22no—
1049C4×C11—21no—
1050C4×C11—21no—
1051C4×C11—41no—
1052C4×C11—41no—
1053C4×C11—41no—
1054C4×C11—41no—
1055C4×C11—41no—
1056C4×C11—41no—
1057C4×C11C2×H(5,𝔽2)11yescharacteristic
1058C4×C11#58511yescharacteristic
1059Dic11—21no—
1060Dic11—21no—
1061Dic11—21no—
1062Dic11—21no—
1063Dic11—21no—
1064Dic11—41no—
1065Dic11—41no—
1066Dic11—41no—
1067Dic11—41no—
1068Dic11—41no—
1069Dic11C2×#13512yes—
1070C2×#41—111no—
1071C2×#41—111no—
1072C2×#41—111no—
1073C2×#41—111no—
1074C2×#41—221no—
1075C22×Q8—111no—
1076C22×Q8—111no—
1077C22×Q8—111no—
1078C22×Q8C22×D1111yescharacteristic
1079C22×D4—111no—
1080C22×D4—111no—
1081C22×D4—221no—
1082#135—442no—
1083#135—442no—
1084C2×Q16—111no—
1085C2×Q16—111no—
1086C2×Q16—111no—
1087C2×Q16—111no—
1088C2×Q16—111no—
1089C2×Q16—111no—
1090C2×Q16—111no—
1091C2×Q16—442no—
1092C2×Q16—442no—
1093C2×Q16C22×D1111yescharacteristic
1094C2×Q16C22×D1111yescharacteristic
1095C2×SD16—111no—
1096C2×SD16—111no—
1097C2×SD16—111no—
1098C2×SD16—111no—
1099C2×SD16—111no—
1100C2×SD16—111no—
1101C2×SD16—111no—
1102C2×SD16—111no—
1103C2×SD16—111no—
1104C2×SD16—111no—
1105C2×SD16—442no—
1106C2×SD16—442no—
1107C2×SD16C22×D1111yescharacteristic
1108C2×SD16C22×D1111yescharacteristic
1109C2×D8—111no—
1110C2×D8—111no—
1111C2×D8—111no—
1112C22×C8—111no—
1113C22×C8—111no—
1114C22×C8—111no—
1115C22×C8—111no—
1116C22×C8—111no—
1117C22×C8—111no—
1118C4⋊Q8—111no—
1119C4⋊Q8—111no—
1120C4⋊Q8—111no—
1121C4⋊Q8—221no—
1122C4⋊Q8—221no—
1123C4⋊Q8—221no—
1124#127—111no—
1125#126—21no—
1126#126—221no—
1127#126—221no—
1128#126—221no—
1129#126—221no—
1130#126—221no—
1131#126—221no—
1132#126—221no—
1133#126—221no—
1134#126—221no—
1135#126—221no—
1136#125—111no—
1137#125—111no—
1138#125—221no—
1139#125—221no—
1140#125—221no—
1141#125—221no—
1142#125—221no—
1143#125C22×D1111yescharacteristic
1144#124—111no—
1145#124—111no—
1146#124—111no—
1147#124—111no—
1148#124—111no—
1149#124—111no—
1150#124—111no—
1151#124—111no—
1152#124—221no—
1153#124—221no—
1154#124—221no—
1155#124—221no—
1156#124—221no—
1157#124—221no—
1158#124—221no—
1159#124—221no—
1160#124—221no—
1161#124C22×D1111yescharacteristic
1162#123—21no—
1163#123—221no—
1164#123—221no—
1165#123—221no—
1166#123—221no—
1167#123—221no—
1168#123—221no—
1169#123—221no—
1170#123—221no—
1171#123—221no—
1172#123—221no—
1173#123—221no—
1174#123—221no—
1175C22⋊Q8—111no—
1176C22⋊Q8—111no—
1177C22⋊Q8—111no—
1178C22⋊Q8—111no—
1179C22⋊Q8—111no—
1180C22⋊Q8—111no—
1181C22⋊Q8—221no—
1182C22⋊Q8—221no—
1183C22⋊Q8—221no—
1184C22⋊Q8—221no—
1185C22⋊Q8—221no—
1186C22⋊Q8—221no—
1187C22⋊Q8—221no—
1188C22⋊Q8—221no—
1189C22⋊Q8—221no—
1190C22⋊Q8—221no—
1191C22⋊Q8—221no—
1192C22⋊Q8—221no—
1193C22⋊Q8C22×D1111yescharacteristic
1194#121—111no—
1195#121—111no—
1196#121—111no—
1197#121—111no—
1198#121—221no—
1199#121—221no—
1200#121—221no—
1201#121—221no—
1202#121—221no—
1203#121—221no—
1204#121—221no—
1205#121—221no—
1206#121—221no—
1207#121C22×D1111yescharacteristic
1208#120—221no—
1209#120—221no—
1210#120—221no—
1211#120—221no—
1212C4×Q8—21no—
1213C4×Q8—21no—
1214C4×Q8—111no—
1215C4×Q8—111no—
1216C4×Q8—111no—
1217C4×Q8—111no—
1218C4×Q8—111no—
1219C4×Q8—111no—
1220C4×Q8—111no—
1221C4×Q8—111no—
1222C4×Q8—221no—
1223C4×Q8—221no—
1224C4×Q8—221no—
1225C4×Q8—221no—
1226C4×Q8C22×D1111yescharacteristic
1227C4×Q8C22×D1111yescharacteristic
1228C4×Q8C22×D1111yescharacteristic
1229C4×Q8C22×D1111yescharacteristic
1230C4×Q8C22×D1111yescharacteristic
1231C4×D4—21no—
1232C4×D4—111no—
1233C4×D4—111no—
1234C4×D4—111no—
1235C4×D4—111no—
1236C4×D4—111no—
1237C4×D4—111no—
1238C4×D4—111no—
1239C4×D4—111no—
1240C4×D4—111no—
1241C4×D4—111no—
1242C4×D4—221no—
1243C4×D4—221no—
1244C4×D4—221no—
1245C4×D4—221no—
1246C4×D4—221no—
1247C4×D4—221no—
1248C4×D4—221no—
1249C4×D4—221no—
1250C4×D4—221no—
1251C4×D4—221no—
1252C4×D4—221no—
1253C4×D4—221no—
1254C4×D4—221no—
1255C4×D4—221no—
1256C4×D4—221no—
1257C4×D4C22×D1111yescharacteristic
1258#117—21no—
1259#117—111no—
1260#117—111no—
1261#117—111no—
1262#117—111no—
1263#117—221no—
1264#117—221no—
1265#117—221no—
1266#117—221no—
1267#117—221no—
1268#117—221no—
1269#117—221no—
1270#117—221no—
1271#117—221no—
1272#117—221no—
1273C2×C4⋊C4—21no—
1274C2×C4⋊C4—111no—
1275C2×C4⋊C4—221no—
1276C2×C4⋊C4C22×D1111yescharacteristic
1277C2×C22⋊C4—221no—
1278C2×C22⋊C4—221no—
1279C2×C22⋊C4—221no—
1280C2×C22⋊C4—221no—
1281C2×C22⋊C4—221no—
1282C2×C22⋊C4—221no—
1283C2×C42—21no—
1284C2×C42—111no—
1285C2×C42—111no—
1286C2×C42—221no—
1287C2×C42—221no—
1288C2×C42C22×D1111yescharacteristic
1289#107—111no—
1290#107—111no—
1291#107C22×D1111yescharacteristic
1292#107C22×D1111yescharacteristic
1293#106—111no—
1294#106—111no—
1295#106C22×D1111yescharacteristic
1296#106C22×D1111yescharacteristic
1297C4⋊C8—111no—
1298C4⋊C8—111no—
1299C4⋊C8—111no—
1300C4⋊C8—111no—
1301C4⋊C8—111no—
1302C4⋊C8—111no—
1303C4⋊C8—111no—
1304C4⋊C8—111no—
1305C4⋊C8C22×D1111yescharacteristic
1306C4⋊C8C22×D1111yescharacteristic
1307#103—111no—
1308#103—111no—
1309#103—111no—
1310#103—111no—
1311#103—111no—
1312#103—111no—
1313#103—111no—
1314#103—111no—
1315#103—111no—
1316#103—111no—
1317#103—111no—
1318#103—111no—
1319#103C22×D1111yescharacteristic
1320#103C22×D1111yescharacteristic
1321#103C22×D1111yescharacteristic
1322#103C22×D1111yescharacteristic
1323#103C22×D1111yescharacteristic
1324#103C22×D1111yescharacteristic
1325#102—111no—
1326#102—111no—
1327#102—111no—
1328#102—111no—
1329#102—111no—
1330#102—111no—
1331#102—111no—
1332#102—111no—
1333#102—111no—
1334#102—111no—
1335#102—111no—
1336#102—111no—
1337#102C22×D1111yescharacteristic
1338#102C22×D1111yescharacteristic
1339C22⋊C8—111no—
1340C22⋊C8—111no—
1341C22⋊C8—111no—
1342C22⋊C8—111no—
1343C22⋊C8C22×D1111yescharacteristic
1344C22⋊C8C22×D1111yescharacteristic
1345C4×C8—111no—
1346C4×C8—111no—
1347C4×C8—111no—
1348C4×C8—111no—
1349C4×C8C22×D1111yescharacteristic
1350C4×C8C22×D1111yescharacteristic
1351C2×C11—22no—
1352C2×C11—81no—
1353C2×C11#348811yescharacteristic
1354C2×C11C22×#13511yescharacteristic
1355C2×C11#358611yescharacteristic
1356D11—22no—
1357D11—41no—
1358D11—81no—
1359D11—81no—
1360D11—81no—
1361C24—221no—
1362C24—221no—
1363#41—224no—
1364#41—222no—
1365#41—444no—
1366#41—441no—
1367#41—441no—
1368#41—441no—
1369#41—441no—
1370#41—441no—
1371C2×Q8—21no—
1372C2×Q8—22no—
1373C2×Q8—41no—
1374C2×Q8—111no—
1375C2×Q8—111no—
1376C2×Q8—111no—
1377C2×Q8—111no—
1378C2×Q8—221no—
1379C2×Q8—221no—
1380C2×Q8—221no—
1381C2×Q8—221no—
1382C2×Q8—222no—
1383C2×Q8—441no—
1384C2×Q8—441no—
1385C2×Q8—441no—
1386C2×Q8—441no—
1387C2×Q8—441no—
1388C2×Q8C23×D1111yescharacteristic
1389C2×Q8C23×D1111yescharacteristic
1390C2×Q8C23×D1111yescharacteristic
1391C2×D4—21no—
1392C2×D4—111no—
1393C2×D4—111no—
1394C2×D4—111no—
1395C2×D4—111no—
1396C2×D4—111no—
1397C2×D4—111no—
1398C2×D4—221no—
1399C2×D4—221no—
1400C2×D4—221no—
1401C2×D4—221no—
1402C2×D4—221no—
1403C2×D4—221no—
1404C2×D4—221no—
1405C2×D4—221no—
1406C2×D4—221no—
1407C2×D4—221no—
1408C2×D4—221no—
1409C2×D4—441no—
1410C2×D4—441no—
1411C2×D4—441no—
1412C2×D4—441no—
1413C2×D4—444no—
1414C2×D4C23×D1111yescharacteristic
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—111no—
1419C22×C4—111no—
1420C22×C4—111no—
1421C22×C4—111no—
1422C22×C4—111no—
1423C22×C4—111no—
1424C22×C4—221no—
1425C22×C4—221no—
1426C22×C4—221no—
1427C22×C4—221no—
1428C22×C4—221no—
1429C22×C4—221no—
1430C22×C4—221no—
1431C22×C4—221no—
1432C22×C4—221no—
1433C22×C4—221no—
1434C22×C4—221no—
1435C22×C4D4×D1111yescharacteristic
1436C22×C4D4×D1111yescharacteristic
1437C22×C4C23×D1111yescharacteristic
1438Q16—22no—
1439Q16—41no—
1440Q16—222no—
1441Q16—222no—
1442Q16—441no—
1443Q16—441no—
1444Q16—441no—
1445Q16—441no—
1446Q16—441no—
1447SD16—22no—
1448SD16—41no—
1449SD16—222no—
1450SD16—222no—
1451SD16—441no—
1452SD16—441no—
1453SD16—441no—
1454SD16—441no—
1455SD16—441no—
1456SD16—441no—
1457SD16—441no—
1458SD16—441no—
1459D8—441no—
1460D8—441no—
1461D8—441no—
1462C2×C8—111no—
1463C2×C8—111no—
1464C2×C8—111no—
1465C2×C8—111no—
1466C2×C8—441no—
1467C2×C8—441no—
1468C2×C8—441no—
1469C2×C8—441no—
1470C2×C8—441no—
1471C2×C8—441no—
1472C2×C8C23×D1111yescharacteristic
1473C2×C8C23×D1111yescharacteristic
1474C2×C8C23×D1111yescharacteristic
1475C2×C8C23×D1111yescharacteristic
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—111no—
1486C4⋊C4—111no—
1487C4⋊C4—111no—
1488C4⋊C4—111no—
1489C4⋊C4—111no—
1490C4⋊C4—111no—
1491C4⋊C4—111no—
1492C4⋊C4—111no—
1493C4⋊C4—221no—
1494C4⋊C4—221no—
1495C4⋊C4—221no—
1496C4⋊C4—221no—
1497C4⋊C4—221no—
1498C4⋊C4—221no—
1499C4⋊C4—221no—
1500C4⋊C4—221no—
1501C4⋊C4—221no—
1502C4⋊C4—221no—
1503C4⋊C4—221no—
1504C4⋊C4—221no—
1505C4⋊C4—221no—
1506C4⋊C4—221no—
1507C4⋊C4—221no—
1508C4⋊C4—221no—
1509C4⋊C4—221no—
1510C4⋊C4—221no—
1511C4⋊C4—221no—
1512C4⋊C4—221no—
1513C4⋊C4—221no—
1514C4⋊C4—221no—
1515C4⋊C4C23×D1111yescharacteristic
1516C4⋊C4C23×D1111yescharacteristic
1517C4⋊C4C23×D1111yescharacteristic
1518C4⋊C4C23×D1111yescharacteristic
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—111no—
1525C22⋊C4—111no—
1526C22⋊C4—111no—
1527C22⋊C4—111no—
1528C22⋊C4—111no—
1529C22⋊C4—111no—
1530C22⋊C4—221no—
1531C22⋊C4—221no—
1532C22⋊C4—221no—
1533C22⋊C4—221no—
1534C22⋊C4—221no—
1535C22⋊C4—221no—
1536C22⋊C4—221no—
1537C22⋊C4—221no—
1538C22⋊C4—221no—
1539C22⋊C4—221no—
1540C22⋊C4—221no—
1541C22⋊C4—221no—
1542C22⋊C4—221no—
1543C22⋊C4—221no—
1544C22⋊C4—221no—
1545C22⋊C4—221no—
1546C22⋊C4—221no—
1547C22⋊C4—221no—
1548C22⋊C4—221no—
1549C22⋊C4—221no—
1550C22⋊C4—221no—
1551C22⋊C4—221no—
1552C22⋊C4—221no—
1553C22⋊C4—221no—
1554C22⋊C4—221no—
1555C22⋊C4—221no—
1556C22⋊C4—221no—
1557C22⋊C4—221no—
1558C22⋊C4—221no—
1559C22⋊C4—221no—
1560C22⋊C4—221no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—111no—
1567C42—111no—
1568C42—111no—
1569C42—111no—
1570C42—111no—
1571C42—111no—
1572C42—221no—
1573C42—221no—
1574C42—221no—
1575C42—221no—
1576C42—221no—
1577C42—221no—
1578C42—221no—
1579C42D4×D1111yescharacteristic
1580C42D4×D1111yescharacteristic
1581C42C23×D1111yescharacteristic
1582C42C23×D1111yescharacteristic
1583C11#6195611yescharacteristic, complemented, Sylow
1584C23—21no—
1585C23—111no—
1586C23—111no—
1587C23—221no—
1588C23—221no—
1589C23—221no—
1590C23—442no—
1591C23—442no—
1592C23—881no—
1593C23—881no—
1594C23—881no—
1595C23—881no—
1596C23C2×D4×D1111yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—21no—
1602Q8—42no—
1603Q8—222no—
1604Q8—221no—
1605Q8—221no—
1606Q8—221no—
1607Q8—221no—
1608Q8—221no—
1609Q8—221no—
1610Q8—442no—
1611Q8—442no—
1612Q8—881no—
1613Q8—881no—
1614Q8#6704212yes—
1615D4—21no—
1616D4—21no—
1617D4—42no—
1618D4—114no—
1619D4—222no—
1620D4—222no—
1621D4—221no—
1622D4—221no—
1623D4—221no—
1624D4—221no—
1625D4—221no—
1626D4—221no—
1627D4—442no—
1628D4—442no—
1629D4—442no—
1630D4—442no—
1631D4—442no—
1632D4—881no—
1633D4—881no—
1634D4—881no—
1635D4—881no—
1636D4—881no—
1637D4—881no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—41no—
1649C2×C4—42no—
1650C2×C4—42no—
1651C2×C4—81no—
1652C2×C4—111no—
1653C2×C4—111no—
1654C2×C4—111no—
1655C2×C4—111no—
1656C2×C4—111no—
1657C2×C4—111no—
1658C2×C4—222no—
1659C2×C4—222no—
1660C2×C4—221no—
1661C2×C4—221no—
1662C2×C4—221no—
1663C2×C4—221no—
1664C2×C4—221no—
1665C2×C4—221no—
1666C2×C4—221no—
1667C2×C4—221no—
1668C2×C4—221no—
1669C2×C4—441no—
1670C2×C4—441no—
1671C2×C4—442no—
1672C2×C4—442no—
1673C2×C4—442no—
1674C2×C4—442no—
1675C2×C4—442no—
1676C2×C4—442no—
1677C2×C4—881no—
1678C2×C4—881no—
1679C2×C4—881no—
1680C2×C4—881no—
1681C2×C4—881no—
1682C2×C4C2×D4×D1111yescharacteristic
1683C2×C4C2×D4×D1111yescharacteristic
1684C2×C4C2×D4×D1111yescharacteristic
1685C2×C4C2×D4×D1111yescharacteristic
1686C2×C4C2×D4×D1111yescharacteristic
1687C2×C4C24×D1111yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—221no—
1693C8—221no—
1694C8—221no—
1695C8—221no—
1696C22—21no—
1697C22—21no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—112no—
1702C22—221no—
1703C22—221no—
1704C22—221no—
1705C22—221no—
1706C22—221no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—441no—
1716C22—1762no—
1717C22—1762no—
1718C22D11×#13512yes—
1719C22C22×D4×D1111yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—22no—
1724C4—21no—
1725C4—21no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—112no—
1733C4—221no—
1734C4—221no—
1735C4—221no—
1736C4—221no—
1737C4—221no—
1738C4—441no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C4C2×#6704211yescharacteristic
1744C4#1062345311yescharacteristic
1745C2—22no—
1746C2—81no—
1747C2—222no—
1748C2—441no—
1749C2—881no—
1750C2—881no—
1751C2—881no—
1752C2#1308227711yescharacteristic
1753C2C2×D11×#13511yescharacteristic
1754C2#1308339911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3108C2
socleC22×C11C23×D4
hypercenter#3108D11
hypocenterC11#61956
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3108

Complements

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

NH ≅ G/Ntype
1. #13082565C2semidirect
2. #13082233C2semidirect
3. #13081613C2semidirect
4. #13081604C2semidirect
5. #13081313C2semidirect
6. #13081302C2semidirect
7. #13080508C2semidirect
8. #13080501C2semidirect
9. #13080479C2semidirect
10. #13080456C2semidirect
11. #13080449C2semidirect
12. #13080427C2semidirect
13. #13080361C2semidirect
14. #13080358C2semidirect
15. #13080350C2semidirect
16. #13080325C2semidirect
17. #13080316C2semidirect
18. #13080305C2semidirect
19. #13079970C2semidirect
20. #13079963C2semidirect
21. #13079952C2semidirect
22. #13079585C2semidirect
23. #13079583C2semidirect
24. #13079571C2semidirect
25. #13078701C2semidirect
26. #13078641C2semidirect
27. #13078070C2semidirect
28. C2×#10622641C2semidirect
29. D11×#464C2semidirect
30. #13077724C2semidirect
31. C11×#3108C2semidirect
33. C2×C4×Q8×C11C22semidirect
34. #10623348C22semidirect
36. C22×#4326C22semidirect
38. C2×#66972C22semidirect
39. C2×Q16×D11C22semidirect
40. C2×#66969C22semidirect
55. #10623112C22semidirect
57. #10623111C22semidirect
59. #10623109C22semidirect
61. #10623107C22semidirect
62. C4×#4343C22semidirect
63. C4×Q8×D11C22semidirect
64. #10623100C22semidirect
67. #10623099C22semidirect
75. #10623044C22semidirect
79. #10623010C22semidirect
83. C11×#483C22semidirect
85. C11×#479C22semidirect
86. C11×#479C22semidirect
87. C11×#464C22semidirect
88. C11×#464C22semidirect
89. C11×#451C22semidirect
91. C4×C11×Q16C22semidirect
92. C4×C11×Q16C22semidirect
93. C4×C11×SD16C22semidirect
94. C4×C11×SD16C22semidirect
95. C11×#431C22semidirect
97. #10622800C22semidirect
98. #10622799C22semidirect
100. #10622795C22semidirect
101. #10622794C22semidirect
103. #10622786C22semidirect
105. #10622781C22semidirect
106. #10622779C22semidirect
108. #10622679C22semidirect
109. #10622676C22semidirect
110. #10622670C22semidirect
111. #10622667C22semidirect
112. #10622664C22semidirect
113. #10622661C22semidirect
120. #10622641C22semidirect
121. #10622641C22semidirect
122. #10622641C22semidirect
123. #10622641C22semidirect
124. #10622641C22semidirect
125. #10622635C22semidirect
126. #10622629C22semidirect
127. #10622622C22semidirect
128. C2×#66874C22semidirect
130. C2×C4⋊(C11⋊C8)C22semidirect
132. #10622501C22semidirect
133. #10622500C22semidirect
136. #10622490C22semidirect
137. #10622486C22semidirect
139. #10622484C22semidirect
142. #10622477C22semidirect
143. #10622475C22semidirect
144. #10622467C22semidirect
145. #10622465C22semidirect
146. #10622465C22semidirect
148. #10622458C22semidirect
150. #10622457C22semidirect
151. #10622446C22semidirect
152. #10622446C22semidirect
153. D11×C4⋊C8C22semidirect
154. D11×C4⋊C8C22semidirect
155. #10622432C22semidirect
157. #10622431C22semidirect
158. #10622426C22semidirect
159. #10622426C22semidirect
161. #10622423C22semidirect
162. #10622423C22semidirect
163. #10622421C22semidirect
167. #10622419C22semidirect
168. #10622417C22semidirect
169. D11×#103C22semidirect
172. #10622411C22semidirect
173. #10622406C22semidirect
174. #10622405C22semidirect
175. #10622403C22semidirect
176. #10622403C22semidirect
178. #10622401C22semidirect
180. #10622396C22semidirect
182. #10622385C22semidirect
184. #10622381C22semidirect
185. #10622380C22semidirect
187. #10622352C22semidirect
188. #10622351C22semidirect
193. (C22⋊D11)⋊C8C22semidirect
194. (C22⋊D11)⋊C8C22semidirect
196. #10622310C22semidirect
198. #10622309C22semidirect
199. C8×D44C22semidirect
200. C8×D44C22semidirect
201. C8×Dic22C22semidirect
202. C8×Dic22C22semidirect
732. #3108D11semidirect
787. C22⋊D11#135semidirect
900. C2×C4×Q8C2×D11semidirect
915. #483C2×D11semidirect
922. #479C2×D11semidirect
923. #479C2×D11semidirect
958. #464C2×D11semidirect
959. #464C2×D11semidirect
979. #451C2×D11semidirect
994. C4×Q16C2×D11semidirect
995. C4×Q16C2×D11semidirect
1000. C4×SD16C2×D11semidirect
1001. C4×SD16C2×D11semidirect
1011. #431C2×D11semidirect
1583. C11#61956semidirect

Maximal subgroups

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

subgroupindex
#130825652
#130822332
#130816132
#130816042
#130813132
#130813022
#130805082
#130805012
#130804792
#130804562
#130804492
#130804272
#130803612
#130803582
#130803502
#130803252
#130803162
#130803052
#130799702
#130799632
#130799522
#130795852
#130795832
#130795712
#130787012
#130786412
#130780702
C2×#106226412
D11×#4642
#130777242
C11×#31082
#6195611