Finite Group Databasebeta

← #15647418

Subgroups — #15647418

Order 2816.

1892 conjugacy classes of subgroups.

The subgroup lattice has 1804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083134C211yesmaximal, characteristic, complemented
2#13082695C211yesmaximal, characteristic, complemented
3#13081704C211yesmaximal, characteristic, complemented
4#13081699C211yesmaximal, characteristic, complemented
5#13081434C211yesmaximal, characteristic, complemented
6#13081425C211yesmaximal, characteristic, complemented
7#13080698C211yesmaximal, characteristic, complemented
8#13080693C211yesmaximal, characteristic, complemented
9#13080614C211yesmaximal, characteristic, complemented
10#13080608C211yesmaximal, characteristic, complemented
11#13080432C211yesmaximal, characteristic, complemented
12#13080425C211yesmaximal, characteristic, complemented
13#13080352C211yesmaximal, characteristic, complemented
14#13080351C211yesmaximal, characteristic, complemented
15#13080156C211yesmaximal, characteristic, complemented
16#13080150C211yesmaximal, characteristic, complemented
17#13080106C211yesmaximal, characteristic, complemented
18#13080105C211yesmaximal, characteristic, complemented
19#13080077C211yesmaximal, characteristic, complemented
20#13080074C211yesmaximal, characteristic, complemented
21#13079924C211yesmaximal, characteristic, complemented
22#13079710C211yesmaximal, characteristic, complemented
23#13079707C211yesmaximal, characteristic, complemented
24#13079601C211yesmaximal, characteristic, complemented
25#13078878C211yesmaximal, characteristic, complemented
26#13078877C211yesmaximal, characteristic, complemented
27#13078737C211yesmaximal, characteristic, complemented
28#13078152C211yesmaximal, characteristic, complemented
29D11×#464C211yesmaximal, characteristic, complemented
30#13077753C211yesmaximal, characteristic, complemented
31C11×#3045C211yesmaximal, characteristic, complemented
32C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C2×C11×#135C2211yescharacteristic, complemented
34C11×#535C2211yescharacteristic
35C11×#520C2211yescharacteristic, complemented
36#10623365C2211yescharacteristic, complemented
37#10623362C2211yescharacteristic
38#10623362C2211yescharacteristic, complemented
39#10623360C2211yescharacteristic
40#10623337C2211yescharacteristic
41D4×C22⋊D11C2211yescharacteristic
42C2×Q16×D11C2211yescharacteristic, complemented
43C2×#66969C2211yescharacteristic, complemented
44C2×#66967C2211yescharacteristic, complemented
45C2×SD16×D11C2211yescharacteristic
46#10623248C2211yescharacteristic
47#10623247C2211yescharacteristic
48#10623246C2211yescharacteristic
49#10623244C2211yescharacteristic
50#10623213C2211yescharacteristic
51#10623212C2211yescharacteristic
52#10623208C2211yescharacteristic
53D11×#124C2211yescharacteristic
54#10623152—21no—
55#10623148—21no—
56#10623144—21no—
57#10623141—21no—
58#10623125—21no—
59#10623124—21no—
60#10623122—21no—
61#10623120—21no—
62#10623107C2211yescharacteristic, complemented
63#10623105C2211yescharacteristic, complemented
64C4×Q8×D11C2211yescharacteristic, complemented
65Q8×Dic22C2211yescharacteristic, complemented
66#10623092—21no—
67#10623092C2211yescharacteristic, complemented
68#10623090—21no—
69#10623090C2211yescharacteristic, complemented
70#10623082—21no—
71#10623082C2211yescharacteristic, complemented
72#10623079—21no—
73#10623079C2211yescharacteristic, complemented
74#10623065—21no—
75#10623065C2211yescharacteristic
76#10623065C2211yescharacteristic, complemented
77#10623059—21no—
78#10623059C2211yescharacteristic
79#10623042—21no—
80#10623042C2211yescharacteristic, complemented
81#10623038—21no—
82#10623038C2211yescharacteristic, complemented
83C11×#464C2211yescharacteristic, complemented
84C11×#464C2211yescharacteristic, complemented
85C11×#463C2211yescharacteristic, complemented
86C11×#463C2211yescharacteristic, complemented
87C11×#460C2211yescharacteristic
88C11×#460C2211yescharacteristic, complemented
89C11×#459C2211yescharacteristic
90C11×#459C2211yescharacteristic, complemented
91C11×#424C2211yescharacteristic, complemented
92C11×#417C2211yescharacteristic, complemented
93C2×C11×#102C2211yescharacteristic, complemented
94#10622852C2211yescharacteristic, complemented
95#10622852C2211yescharacteristic, complemented
96#10622851C2211yescharacteristic
97#10622851C2211yescharacteristic, complemented
98#10622831C2211yescharacteristic, complemented
99#10622830C2211yescharacteristic, complemented
100#10622800C2211yescharacteristic, complemented
101#10622798C2211yescharacteristic, complemented
102Q16×Dic11C2211yescharacteristic, complemented
103#10622789C2211yescharacteristic, complemented
104#10622787C2211yescharacteristic, complemented
105#10622785C2211yescharacteristic
106#10622783C2211yescharacteristic, complemented
107#10622783C2211yescharacteristic, complemented
108#10622783C2211yescharacteristic, complemented
109#10622779C2211yescharacteristic, complemented
110#10622779C2211yescharacteristic, complemented
111#10622779C2211yescharacteristic, complemented
112#10622777C2211yescharacteristic, complemented
113#10622777C2211yescharacteristic, complemented
114#10622777C2211yescharacteristic, complemented
115#10622776C2211yescharacteristic
116#10622771C2211yescharacteristic, complemented
117#10622770C2211yescharacteristic
118#10622770C2211yescharacteristic, complemented
119#10622770C2211yescharacteristic, complemented
120#10622769C2211yescharacteristic
121#10622769C2211yescharacteristic, complemented
122#10622768C2211yescharacteristic, complemented
123#10622767C2211yescharacteristic
124#10622767C2211yescharacteristic, complemented
125#10622766C2211yescharacteristic, complemented
126#10622763C2211yescharacteristic, complemented
127#10622763C2211yescharacteristic, complemented
128#10622747C2211yescharacteristic
129#10622747C2211yescharacteristic, complemented
130#10622740C2211yescharacteristic, complemented
131#10622740C2211yescharacteristic, complemented
132#10622729C2211yescharacteristic, complemented
133#10622728C2211yescharacteristic
134#10622724C2211yescharacteristic, complemented
135C8×C22⋊D11C2211yescharacteristic, complemented
136#10622688C2211yescharacteristic, complemented
137#10622687C2211yescharacteristic
138#10622685C2211yescharacteristic, complemented
139#10622683C2211yescharacteristic
140#10622672C2211yescharacteristic, complemented
141#10622670C2211yescharacteristic, complemented
142#10622668C2211yescharacteristic, complemented
143#10622667C2211yescharacteristic, complemented
144C4×#4326C2211yescharacteristic, complemented
145#10622641C2211yescharacteristic, complemented
146#10622639C2211yescharacteristic, complemented
147#10622634C2211yescharacteristic, complemented
148#10622631C2211yescharacteristic, complemented
149#10622629C2211yescharacteristic, complemented
150C4×#4323C2211yescharacteristic, complemented
151#10622620C2211yescharacteristic, complemented
152#10622613C2211yescharacteristic, complemented
153#10622583C2211yescharacteristic, complemented
154#10622580C2211yescharacteristic
155#10622463C2211yescharacteristic, complemented
156#10622463C2211yescharacteristic, complemented
157#10622459C2211yescharacteristic, complemented
158#10622459C2211yescharacteristic, complemented
159#10622458C2211yescharacteristic, complemented
160#10622458C2211yescharacteristic, complemented
161#10622457C2211yescharacteristic, complemented
162#10622457C2211yescharacteristic, complemented
163#10622453C2211yescharacteristic, complemented
164#10622452C2211yescharacteristic, complemented
165#10622449C2211yescharacteristic, complemented
166#10622448C2211yescharacteristic, complemented
167#10622447C2211yescharacteristic, complemented
168D11×C4⋊C8C2211yescharacteristic, complemented
169#10622444C2211yescharacteristic, complemented
170#10622441C2211yescharacteristic, complemented
171#10622430C2211yescharacteristic, complemented
172#10622426C2211yescharacteristic, complemented
173#10622422C2211yescharacteristic, complemented
174#10622419C2211yescharacteristic, complemented
175D11×#103C2211yescharacteristic, complemented
176#10622411C2211yescharacteristic, complemented
177#10622408C2211yescharacteristic, complemented
178#10622407C2211yescharacteristic, complemented
179#10622400C2211yescharacteristic, complemented
180#10622399C2211yescharacteristic
181#10622396C2211yescharacteristic, complemented
182#10622393C2211yescharacteristic
183#10622389C2211yescharacteristic, complemented
184#10622388C2211yescharacteristic, complemented
185#10622388C2211yescharacteristic, complemented
186#10622387C2211yescharacteristic
187#10622387C2211yescharacteristic, complemented
188#10622387C2211yescharacteristic, complemented
189#10622386C2211yescharacteristic
190#10622384C2211yescharacteristic, complemented
191D11×#102C2211yescharacteristic
192D11×#102C2211yescharacteristic, complemented
193#10622380C2211yescharacteristic, complemented
194#10622378C2211yescharacteristic, complemented
195#10622378C2211yescharacteristic, complemented
196#10622373C2211yescharacteristic
197#10622372C2211yescharacteristic, complemented
198#10622372C2211yescharacteristic, complemented
199#10622372C2211yescharacteristic, complemented
200#10622370C2211yescharacteristic, complemented
201#10622370C2211yescharacteristic, complemented
202#10622369C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C22×D4×C11C2311yescharacteristic
206C22×C22⋊D11—21no—
207C2×#4343C2311yescharacteristic
208C2×Q8×D11C2311yescharacteristic
209C2×Q8×D11C2311yescharacteristic
210C2×#4341—21no—
211C2×#4341C2311yescharacteristic
212C2×D4×D11—21no—
213C2×D4×D11C2311yescharacteristic
214C2×D4×D11C2311yescharacteristic
215C2×#4339—21no—
216C2×#4339—21no—
217C2×#4339—21no—
218C11×AGL(1,ℤ/8)—42no—
219C11×#135—42no—
220C2×C11×Q16C2311yescharacteristic
221C2×C11×SD16C2311yescharacteristic
222C2×C11×SD16C2311yescharacteristic
223C2×C11×SD16C2311yescharacteristic
224C2×C11×SD16C2311yescharacteristic
225C2×C11×D8C2311yescharacteristic
226C2×C11×D8C2311yescharacteristic
227C2×C11×D8C2311yescharacteristic
228C2×C11×M16C2311yescharacteristic
229C22×C8×C11C2311yescharacteristic
230C11×#127C2311yescharacteristic
231C11×#127C2311yescharacteristic
232C11×#124C2311yescharacteristic
233C11×#124C2311yescharacteristic
234C11×#121—21no—
235C11×#121—21no—
236C11×#120—21no—
237C11×#120—21no—
238C4×Q8×C11C2311yescharacteristic
239C4×Q8×C11C2311yescharacteristic
240C4×D4×C11—21no—
241C4×D4×C11—21no—
242C4×D4×C11C2311yescharacteristic
243C4×D4×C11C2311yescharacteristic
244C11×#117—21no—
245C11×#117C2311yescharacteristic
246C2×C11×C4⋊C4—21no—
247C2×C11×C4⋊C4C2311yescharacteristic
248#67006—21no—
249#67006—21no—
250C2×C22⋊Dic11—21no—
251#67000C2311yescharacteristic
252#66999C2311yescharacteristic
253Q8×Dic11C2311yescharacteristic
254Q8×Dic11C2311yescharacteristic
255Q8×Dic11C2311yescharacteristic
256C2×#4326C2311yescharacteristic
257C2×#4326C2311yescharacteristic
258C2×#4325C2311yescharacteristic
259C2×#4325C2311yescharacteristic
260#66993—21no—
261#66993C2311yescharacteristic
262#66993C2311yescharacteristic
263#66992—21no—
264#66992—21no—
265#66992—21no—
266#66992—21no—
267#66992—21no—
268#66991—21no—
269#66991—21no—
270#66991—21no—
271#66991—21no—
272#66991—21no—
273#66991C2311yescharacteristic
274#66991C2311yescharacteristic
275#66991C2311yescharacteristic
276#66991C2311yescharacteristic
277#66991C2311yescharacteristic
278#66990—21no—
279#66990—21no—
280#66990—21no—
281#66990—21no—
282#66990—21no—
283#66990—21no—
284#66989—21no—
285#66989—21no—
286#66989—21no—
287#66989—21no—
288#66989C2311yescharacteristic
289#66989C2311yescharacteristic
290#66989C2311yescharacteristic
291#66988—21no—
292#66988—21no—
293#66988—21no—
294D4×Dic11—21no—
295D4×Dic11—21no—
296D4×Dic11C2311yescharacteristic
297D4×Dic11C2311yescharacteristic
298D4×Dic11C2311yescharacteristic
299C2×#4324C2311yescharacteristic
300C2×#4324C2311yescharacteristic
301C2×#4324C2311yescharacteristic
302C2×#4324C2311yescharacteristic
303C2×#4323C2311yescharacteristic
304C2×#4323C2311yescharacteristic
305C2×#4323C2311yescharacteristic
306C2×#4323C2311yescharacteristic
307#66983—21no—
308#66983C2311yescharacteristic
309#66983C2311yescharacteristic
310#66982—21no—
311#66982—21no—
312#66982—21no—
313#66982—21no—
314C4×C22⋊D11—21no—
315C4×C22⋊D11—21no—
316C4×C22⋊D11—21no—
317C4×C22⋊D11—21no—
318C4×C22⋊D11—21no—
319C4×C22⋊D11—21no—
320C4×C22⋊D11C2311yescharacteristic
321C4×C22⋊D11C2311yescharacteristic
322C2×(C2×D11)⋊C4—21no—
323#66977—21no—
324#66977—21no—
325#66977—21no—
326#66977—21no—
327#66977—21no—
328#66977C2311yescharacteristic
329#66977C2311yescharacteristic
330Q16×D11—42no—
331#66969—42no—
332#66967—42no—
333SD16×D11—42no—
334C2×Dic44C2311yescharacteristic
335C2×D88C2311yescharacteristic
336C2×#4314C2311yescharacteristic
337C2×#4314C2311yescharacteristic
338C2×#4313C2311yescharacteristic
339C2×C8×D11C2311yescharacteristic
340C2×C8×D11C2311yescharacteristic
341C2×C8×D11C2311yescharacteristic
342#66951—21no—
343#66951—21no—
344#66951D411yescharacteristic
345#66950—21no—
346#66950C2311yescharacteristic
347#66949—21no—
348#66949—21no—
349#66949—21no—
350#66949—21no—
351#66949D411yescharacteristic
352#66948—21no—
353#66948C2311yescharacteristic
354#66947—21no—
355#66947D411yescharacteristic
356#66946—21no—
357#66946C2311yescharacteristic
358C4⋊C4×D11—21no—
359C4⋊C4×D11—21no—
360C4⋊C4×D11C2311yescharacteristic
361C4⋊C4×D11C2311yescharacteristic
362#66942—21no—
363#66942D411yescharacteristic
364#66941—21no—
365#66941—21no—
366#66941C2311yescharacteristic
367#66941C2311yescharacteristic
368#66940—21no—
369#66940C2311yescharacteristic
370#66939—21no—
371#66939—21no—
372#66938—21no—
373#66938—21no—
374#66938—21no—
375#66938—21no—
376#66938—21no—
377#66938—21no—
378#66938—21no—
379#66938—21no—
380#66938—21no—
381#66938—21no—
382#66938D411yescharacteristic
383#66937—21no—
384#66937—21no—
385#66937D411yescharacteristic
386#66936—21no—
387#66936—21no—
388#66936—21no—
389#66936—21no—
390#66936—21no—
391#66936—21no—
392#66936D411yescharacteristic
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4—21no—
395C22⋊C4×D11—21no—
396C22⋊C4×D11—21no—
397#66932—21no—
398#66932—21no—
399#66932D411yescharacteristic
400#66931—21no—
401#66931—21no—
402#66928—21no—
403#66928C2311yescharacteristic
404#66928C2311yescharacteristic
405C4×D44—21no—
406C4×D44—21no—
407C4×D44C2311yescharacteristic
408C4×D44C2311yescharacteristic
409C4×D44C2311yescharacteristic
410#66925—21no—
411#66925C2311yescharacteristic
412C42×D11—21no—
413C42×D11C2311yescharacteristic
414#66922—21no—
415#66922C2311yescharacteristic
416#66922C2311yescharacteristic
417C4×Dic22—21no—
418C4×Dic22—21no—
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×C4⋊C8C2311yescharacteristic
424C11×C4⋊C8C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×#102C2311yescharacteristic
434#66899C2311yescharacteristic
435#66899C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66896C2311yescharacteristic
439#66896C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453(C2×D11)⋊C8C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456#66882C2311yescharacteristic
457#66882C2311yescharacteristic
458#66882C2311yescharacteristic
459#66882C2311yescharacteristic
460#66880C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66879C2311yescharacteristic
465#66879C2311yescharacteristic
466#66879C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482#66867C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#62022—111nomaximal, Sylow
485C24×C11—21no—
486C23×D11—21no—
487C23×D11—21no—
488C11×#41—22no—
489C11×#41—41no—
490C11×#41—41no—
491C11×#41—41no—
492C2×Q8×C11C2411yescharacteristic
493C2×Q8×C11C2411yescharacteristic
494C2×D4×C11—21no—
495C2×D4×C11—21no—
496C2×D4×C11—21no—
497C2×D4×C11—21no—
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—41no—
502C2×D4×C11—41no—
503C2×D4×C11C2411yescharacteristic
504C2×D4×C11C2411yescharacteristic
505C2×D4×C11C2411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11—21no—
511C22×C4×C11—21no—
512C22×C4×C11C2411yescharacteristic
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—82no—
528C2×C22⋊D11C2×D411yescharacteristic
529C2×C22⋊D11C2×D411yescharacteristic
530C22×Dic11—21no—
531C22×Dic11—21no—
532C22×Dic11—21no—
533C22×Dic11—21no—
534#4343—22no—
535#4343—41no—
536Q8×D11—22no—
537Q8×D11—41no—
538Q8×D11—41no—
539Q8×D11—41no—
540#4341—41no—
541#4341—41no—
542#4341—82no—
543D4×D11—41no—
544D4×D11—41no—
545D4×D11—41no—
546D4×D11—41no—
547D4×D11—82no—
548#4339—82no—
549#4339—82no—
550#4339—82no—
551C2×D44—21no—
552C2×D44—21no—
553C2×D44C2×D411yescharacteristic
554C2×D44C2411yescharacteristic
555C2×D44C2411yescharacteristic
556C2×C4×D11—21no—
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11—21no—
564C2×C4×D11C2×D411yescharacteristic
565C2×C4×D11C2×D411yescharacteristic
566C2×C4×D11C2411yescharacteristic
567C2×C4×D11C2411yescharacteristic
568C2×Dic22—21no—
569C2×Dic22—21no—
570C2×Dic22—21no—
571C2×Dic22—21no—
572C2×Dic22—21no—
573C2×Dic22—21no—
574C2×Dic22C2×D411yescharacteristic
575C2×Dic22C2411yescharacteristic
576C2×Dic22C2411yescharacteristic
577C11×Q16—22no—
578C11×SD16—22no—
579C11×SD16—22no—
580C11×SD16—22no—
581C11×SD16—41no—
582C11×D8—41no—
583C11×D8—41no—
584C11×D8—41no—
585C11×M16—41no—
586C2×C8×C11—41no—
587C2×C8×C11C2411yescharacteristic
588C2×C8×C11C2411yescharacteristic
589C2×C8×C11C2411yescharacteristic
590C2×C8×C11C2411yescharacteristic
591C11×C4⋊C4—21no—
592C11×C4⋊C4—21no—
593C11×C4⋊C4—21no—
594C11×C4⋊C4C2×D411yescharacteristic
595C11×C4⋊C4C2×D411yescharacteristic
596C11×C4⋊C4C2411yescharacteristic
597C11×C4⋊C4C2411yescharacteristic
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4—21no—
601C11×C22⋊C4—21no—
602C11×C22⋊C4—21no—
603C11×C22⋊C4—21no—
604C11×C22⋊C4C2×D411yescharacteristic
605C11×C22⋊C4C2×D411yescharacteristic
606C42×C11—21no—
607C42×C11—21no—
608C42×C11C2411yescharacteristic
609C42×C11C2411yescharacteristic
610C22⋊Dic11—21no—
611C22⋊Dic11—21no—
612C22⋊Dic11—21no—
613C22⋊Dic11—21no—
614C22⋊Dic11—21no—
615C22⋊Dic11—21no—
616C22⋊Dic11—21no—
617C22⋊Dic11—21no—
618C22⋊Dic11—21no—
619C22⋊Dic11—21no—
620C22⋊Dic11—21no—
621C22⋊Dic11—21no—
622C22⋊Dic11—21no—
623C22⋊Dic11—21no—
624C22⋊Dic11—21no—
625C22⋊Dic11—21no—
626C22⋊Dic11C2×D411yescharacteristic
627C22⋊Dic11C2×D411yescharacteristic
628#4326—22no—
629#4326—41no—
630#4325—22no—
631#4325—41no—
632#4324—41no—
633#4324—41no—
634#4324—41no—
635#4324—41no—
636#4323—41no—
637#4323—41no—
638#4323—41no—
639#4323—41no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
642(C2×D11)⋊C4—21no—
643(C2×D11)⋊C4—21no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4—21no—
648(C2×D11)⋊C4—21no—
649(C2×D11)⋊C4—21no—
650(C2×D11)⋊C4—21no—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4C2×D411yescharacteristic
655(C2×D11)⋊C4C2×D411yescharacteristic
656(C2×D11)⋊C4C2×D411yescharacteristic
657(C2×D11)⋊C4C2×D411yescharacteristic
658(C2×D11)⋊C4C2×D411yescharacteristic
659(C2×D11)⋊C4C2×D411yescharacteristic
660C4⋊Dic11—21no—
661C4⋊Dic11—21no—
662C4⋊Dic11—21no—
663C4⋊Dic11—21no—
664C4⋊Dic11—21no—
665C4⋊Dic11—21no—
666C4⋊Dic11C2×D411yescharacteristic
667C4⋊Dic11C2×D411yescharacteristic
668C4⋊Dic11C2411yescharacteristic
669C4⋊Dic11C2411yescharacteristic
670C4⋊Dic11C2411yescharacteristic
671C4⋊Dic11C2411yescharacteristic
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4—21no—
677Dic11⋊C4—21no—
678Dic11⋊C4—21no—
679Dic11⋊C4—21no—
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682Dic11⋊C4C2×D411yescharacteristic
683Dic11⋊C4C2×D411yescharacteristic
684Dic11⋊C4C2×D411yescharacteristic
685Dic11⋊C4C2×D411yescharacteristic
686Dic11⋊C4C2×D411yescharacteristic
687Dic11⋊C4C2×D411yescharacteristic
688C4×Dic11—21no—
689C4×Dic11—21no—
690C4×Dic11—21no—
691C4×Dic11—21no—
692C4×Dic11—21no—
693C4×Dic11—21no—
694C4×Dic11C2×D411yescharacteristic
695C4×Dic11C2×D411yescharacteristic
696C4×Dic11C2411yescharacteristic
697C4×Dic11C2411yescharacteristic
698C2×C11⋊C8C2411yescharacteristic
699C2×C11⋊C8C2411yescharacteristic
700C2×C11⋊C8C2411yescharacteristic
701C2×C11⋊C8C2411yescharacteristic
702Dic44—41no—
703D88—41no—
704#4314—41no—
705#4314—41no—
706#4313—41no—
707C8×D11—41no—
708C8×D11—41no—
709C8×D11—41no—
710#3558—111no—
711#3522—111no—
712#3403—111no—
713#3403—111no—
714#3375—111no—
715#3375—111no—
716#3314—111no—
717#3314—111no—
718#3308—111no—
719#3308—111no—
720#3294—111no—
721#3294—111no—
722#3285—111no—
723#3285—111no—
724#3268—111no—
725#3268—111no—
726#3265—111no—
727#3265—111no—
728#3262—111no—
729#3262—111no—
730#3245—111no—
731#3224—111no—
732#3224—111no—
733#3213—111no—
734#3124—111no—
735#3124—111no—
736#3112—111no—
737#3045—111no—
738#3045D1111yescharacteristic, complemented
739C2×#464—111no—
740#2992—111no—
741C23×C11—21no—
742C23×C11—21no—
743C23×C11—21no—
744C23×C11—21no—
745C23×C11—81no—
746C23×C11—81no—
747C23×C11—81no—
748C23×C11C22×D411yescharacteristic
749C22×D11—21no—
750C22×D11—21no—
751C22×D11—42no—
752C22×D11—81no—
753C22×D11—81no—
754C22×D11—81no—
755C22×D11—81no—
756C22×D11—81no—
757C22×D11C22×D411yescharacteristic
758C22×D11C22×D411yescharacteristic
759Q8×C11—21no—
760Q8×C11—21no—
761Q8×C11—21no—
762Q8×C11H(5,𝔽2)12yes—
763D4×C11—21no—
764D4×C11—21no—
765D4×C11—21no—
766D4×C11—21no—
767D4×C11—21no—
768D4×C11—21no—
769D4×C11—21no—
770D4×C11—21no—
771D4×C11—42no—
772D4×C11—81no—
773D4×C11—81no—
774D4×C11—81no—
775D4×C11—81no—
776D4×C11—81no—
777D4×C11—81no—
778C2×C4×C11—21no—
779C2×C4×C11—21no—
780C2×C4×C11—21no—
781C2×C4×C11—21no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—42no—
785C2×C4×C11—81no—
786C2×C4×C11—81no—
787C2×C4×C11—81no—
788C2×C4×C11—81no—
789C2×C4×C11C22×D411yescharacteristic
790C2×C4×C11C22×D411yescharacteristic
791C2×C4×C11C22×D411yescharacteristic
792C2×C4×C11C22×D411yescharacteristic
793C2×C4×C11C22×D411yescharacteristic
794C2×C4×C11C2511yescharacteristic
795C22⋊D11—22no—
796C22⋊D11—41no—
797C22⋊D11—42no—
798C22⋊D11—42no—
799C22⋊D11—42no—
800C22⋊D11—42no—
801C22⋊D11—81no—
802C22⋊D11—81no—
803C22⋊D11—81no—
804C22⋊D11—81no—
805C22⋊D11—81no—
806C22⋊D11—81no—
807C22⋊D11—81no—
808C22⋊D11—81no—
809C22⋊D11—81no—
810C22⋊D11—81no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—81no—
818C2×Dic11—81no—
819C2×Dic11—81no—
820C2×Dic11—81no—
821C2×Dic11C22×D411yescharacteristic
822C2×Dic11C22×D411yescharacteristic
823C2×Dic11C22×D411yescharacteristic
824C2×Dic11C22×D411yescharacteristic
825C2×Dic11C22×D411yescharacteristic
826C2×Dic11C22×D411yescharacteristic
827D44—22no—
828D44—21no—
829D44—21no—
830D44—21no—
831D44—21no—
832D44—42no—
833D44—42no—
834C4×D11—22no—
835C4×D11—21no—
836C4×D11—21no—
837C4×D11—21no—
838C4×D11—21no—
839C4×D11—41no—
840C4×D11—42no—
841C4×D11—42no—
842C4×D11—42no—
843C4×D11—81no—
844C4×D11—81no—
845C4×D11—81no—
846C4×D11—81no—
847C4×D11—81no—
848Dic22—21no—
849Dic22—21no—
850Dic22—21no—
851Dic22—21no—
852Dic22—41no—
853Dic22—42no—
854Dic22—81no—
855Dic22—81no—
856Dic22—81no—
857Dic22—81no—
858Dic22—81no—
859C8×C11—21no—
860C8×C11—21no—
861C8×C11—21no—
862C8×C11—21no—
863C11⋊C8—21no—
864C11⋊C8—21no—
865C11⋊C8—21no—
866C11⋊C8—21no—
867C2×AGL(1,ℤ/8)—111no—
868C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
869C2×#135—111no—
870C2×#135C2×D1111yescharacteristic, complemented
871C22×Q16—111no—
872C22×SD16—111no—
873#562—221no—
874H(3,𝔽4)—221no—
875#559—111no—
876#559—111no—
877#559—111no—
878#559—221no—
879Q82—111no—
880#554—111no—
881#554—221no—
882#550—111no—
883#548—111no—
884#548—111no—
885#548—111no—
886#548—111no—
887#547—111no—
888#547—111no—
889#547—221no—
890#547—221no—
891#546—111no—
892#546—111no—
893#546—221no—
894#546—221no—
895D42—111no—
896D42—111no—
897#542—111no—
898#542—111no—
899#542—111no—
900#542—111no—
901#542—221no—
902#542—221no—
903#538—221no—
904#538—221no—
905#538—221no—
906#535—111no—
907#535C2×D1111yescharacteristic
908#534—221no—
909#532—111no—
910#532—111no—
911#532—221no—
912#529—111no—
913#529—221no—
914C2×#124—111no—
915#520—111no—
916#520C2×D1111yescharacteristic, complemented
917C2×C4×Q8—111no—
918#496—111no—
919#496—111no—
920#496—111no—
921#496—111no—
922#495—111no—
923#495—111no—
924#489—111no—
925#489—111no—
926#489—111no—
927#489—111no—
928#486—111no—
929#486—111no—
930#484—111no—
931#484—111no—
932#480—111no—
933#480—111no—
934#480—111no—
935#480—111no—
936#477—111no—
937#477—111no—
938#477—111no—
939#477—111no—
940#474—111no—
941#474—111no—
942#474—111no—
943#474—111no—
944#474—111no—
945#474—111no—
946#468—111no—
947#468—111no—
948#468—111no—
949#468—111no—
950#467—111no—
951#467—111no—
952#466—111no—
953#466—111no—
954#466—111no—
955#466—111no—
956#466—111no—
957#466—111no—
958#464—111no—
959#464—111no—
960#464—111no—
961#464—111no—
962#464—111no—
963#464—111no—
964#464—111no—
965#464—111no—
966#464—111no—
967#464—111no—
968#464C2×D1111yescharacteristic, complemented
969#464C2×D1111yescharacteristic, complemented
970#463—111no—
971#463—111no—
972#463—111no—
973#463—111no—
974#463—111no—
975#463—111no—
976#463C2×D1111yescharacteristic, complemented
977#463C2×D1111yescharacteristic, complemented
978#460—111no—
979#460—111no—
980#460C2×D1111yescharacteristic
981#460C2×D1111yescharacteristic, complemented
982#459—111no—
983#459—111no—
984#459—111no—
985#459—111no—
986#459C2×D1111yescharacteristic
987#459C2×D1111yescharacteristic, complemented
988#452—111no—
989#452—111no—
990#452—111no—
991#452—111no—
992#450—111no—
993#450—111no—
994#449—111no—
995#449—111no—
996#449—111no—
997#449—111no—
998#448—111no—
999#448—111no—
1000#448—111no—
1001#448—111no—
1002#447—111no—
1003#447—111no—
1004#447—111no—
1005#447—111no—
1006#446—111no—
1007#446—111no—
1008#440—111no—
1009#440—111no—
1010#440—111no—
1011#440—111no—
1012#440—111no—
1013#440—111no—
1014#440—111no—
1015#440—111no—
1016C4×Q16—111no—
1017C4×Q16—111no—
1018C4×D8—111no—
1019C4×D8—111no—
1020#435—111no—
1021#435—111no—
1022#435—111no—
1023#435—111no—
1024C8×D4—111no—
1025C8×D4—111no—
1026#433—111no—
1027#433—111no—
1028#432—111no—
1029#424—111no—
1030#424C2×D1111yescharacteristic, complemented
1031C2×C4⋊C8—111no—
1032#417—111no—
1033#417C2×D1111yescharacteristic, complemented
1034C2×#103—111no—
1035C2×#102—111no—
1036C2×#102—111no—
1037C2×#102C2×D1111yescharacteristic, complemented
1038C22×C11—21no—
1039C22×C11—21no—
1040C22×C11—21no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11—41no—
1048C22×C11—41no—
1049C22×C11—41no—
1050C22×C11—41no—
1051C22×C11—41no—
1052C22×C11—41no—
1053C22×C11—162no—
1054C22×C11C23×D411yescharacteristic
1055C2×D11—21no—
1056C2×D11—21no—
1057C2×D11—21no—
1058C2×D11—21no—
1059C2×D11—21no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—41no—
1066C2×D11—162no—
1067C2×D11—162no—
1068C2×D11#57612yes—
1069C4×C11—21no—
1070C4×C11—21no—
1071C4×C11—21no—
1072C4×C11—22no—
1073C4×C11—21no—
1074C4×C11—21no—
1075C4×C11—41no—
1076C4×C11—41no—
1077C4×C11—41no—
1078C4×C11C2×H(5,𝔽2)11yescharacteristic
1079C4×C11#58511yescharacteristic
1080Dic11—21no—
1081Dic11—21no—
1082Dic11—21no—
1083Dic11—21no—
1084Dic11—21no—
1085Dic11—21no—
1086Dic11—41no—
1087Dic11—41no—
1088Dic11—41no—
1089Dic11—41no—
1090Dic11—41no—
1091Dic11—41no—
1092C2×#41—111no—
1093C2×#41—111no—
1094C2×#41—221no—
1095C2×#41—221no—
1096C2×#41—221no—
1097C2×#41—221no—
1098C2×#41C22×D1111yescharacteristic
1099C2×#41C22×D1111yescharacteristic
1100C22×Q8—111no—
1101C22×Q8—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—221no—
1105C22×D4—221no—
1106C22×D4C22×D1111yescharacteristic
1107AGL(1,ℤ/8)—42no—
1108AGL(1,ℤ/8)—442no—
1109#135—42no—
1110#135—442no—
1111C2×Q16—111no—
1112C2×Q16—111no—
1113C2×Q16—111no—
1114C2×Q16—442no—
1115C2×Q16C22×D1111yescharacteristic
1116C2×SD16—111no—
1117C2×SD16—111no—
1118C2×SD16—111no—
1119C2×SD16—111no—
1120C2×SD16—111no—
1121C2×SD16—111no—
1122C2×SD16—111no—
1123C2×SD16—111no—
1124C2×SD16—442no—
1125C2×SD16C22×D1111yescharacteristic
1126C2×SD16C22×D1111yescharacteristic
1127C2×SD16C22×D1111yescharacteristic
1128C2×SD16C22×D1111yescharacteristic
1129C2×D8—111no—
1130C2×D8—111no—
1131C2×D8—111no—
1132C2×D8—111no—
1133C2×D8—111no—
1134C2×D8C22×D1111yescharacteristic
1135C2×D8C22×D1111yescharacteristic
1136C2×D8C22×D1111yescharacteristic
1137C2×M16—111no—
1138C2×M16C22×D1111yescharacteristic
1139C22×C8—111no—
1140C22×C8—111no—
1141C22×C8—111no—
1142C22×C8C22×D1111yescharacteristic
1143C4⋊Q8—111no—
1144C4⋊Q8—111no—
1145C4⋊Q8—111no—
1146C4⋊Q8—111no—
1147C4⋊Q8—221no—
1148C4⋊Q8—221no—
1149C4⋊Q8—221no—
1150#127—111no—
1151#127—111no—
1152#127—221no—
1153#127C22×D1111yescharacteristic
1154#127C22×D1111yescharacteristic
1155#126—111no—
1156#126—111no—
1157#126—221no—
1158#126—221no—
1159#126—221no—
1160#126—221no—
1161#125—111no—
1162#125—221no—
1163#124—111no—
1164#124—111no—
1165#124—111no—
1166#124—111no—
1167#124—111no—
1168#124—111no—
1169#124—111no—
1170#124—221no—
1171#124—221no—
1172#124—221no—
1173#124—221no—
1174#124—221no—
1175#124—221no—
1176#124—221no—
1177#124—221no—
1178#124—221no—
1179#124—221no—
1180#124—221no—
1181#124—221no—
1182#124—221no—
1183#124—221no—
1184#124—221no—
1185#124C22×D1111yescharacteristic
1186#124C22×D1111yescharacteristic
1187#123—111no—
1188#123—111no—
1189#123—221no—
1190#123—221no—
1191#123—221no—
1192#123—221no—
1193#123—221no—
1194#123—221no—
1195#123—221no—
1196#123—221no—
1197#123—221no—
1198#123—221no—
1199#123—221no—
1200#123—221no—
1201#123—221no—
1202#123—221no—
1203#123—221no—
1204#123—221no—
1205C22⋊Q8—111no—
1206C22⋊Q8—111no—
1207C22⋊Q8—111no—
1208C22⋊Q8—111no—
1209C22⋊Q8—111no—
1210C22⋊Q8—221no—
1211C22⋊Q8—221no—
1212C22⋊Q8—221no—
1213C22⋊Q8—221no—
1214C22⋊Q8—221no—
1215C22⋊Q8—221no—
1216C22⋊Q8—221no—
1217C22⋊Q8—221no—
1218C22⋊Q8—221no—
1219C22⋊Q8—221no—
1220C22⋊Q8—221no—
1221C22⋊Q8—221no—
1222#121—21no—
1223#121—21no—
1224#121—111no—
1225#121—111no—
1226#121—111no—
1227#121—111no—
1228#121—111no—
1229#121—111no—
1230#121—111no—
1231#121—111no—
1232#121—111no—
1233#121—221no—
1234#121—221no—
1235#121—221no—
1236#121—221no—
1237#121—221no—
1238#121—221no—
1239#121—221no—
1240#121—221no—
1241#121—221no—
1242#121—221no—
1243#121—221no—
1244#121—221no—
1245#121—221no—
1246#121—221no—
1247#120—21no—
1248#120—21no—
1249#120—221no—
1250#120—221no—
1251#120—221no—
1252#120—221no—
1253#120—221no—
1254#120—221no—
1255#120—221no—
1256#120—221no—
1257C4×Q8—111no—
1258C4×Q8—111no—
1259C4×Q8—111no—
1260C4×Q8—111no—
1261C4×Q8—111no—
1262C4×Q8—111no—
1263C4×Q8—111no—
1264C4×Q8—221no—
1265C4×Q8—221no—
1266C4×Q8—221no—
1267C4×Q8C22×D1111yescharacteristic
1268C4×Q8C22×D1111yescharacteristic
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—111no—
1272C4×D4—111no—
1273C4×D4—111no—
1274C4×D4—111no—
1275C4×D4—111no—
1276C4×D4—111no—
1277C4×D4—111no—
1278C4×D4—111no—
1279C4×D4—111no—
1280C4×D4—221no—
1281C4×D4—221no—
1282C4×D4—221no—
1283C4×D4—221no—
1284C4×D4—221no—
1285C4×D4—221no—
1286C4×D4—221no—
1287C4×D4—221no—
1288C4×D4—221no—
1289C4×D4—221no—
1290C4×D4—221no—
1291C4×D4—221no—
1292C4×D4—221no—
1293C4×D4C22×D1111yescharacteristic
1294C4×D4C22×D1111yescharacteristic
1295#117—21no—
1296#117—111no—
1297#117—221no—
1298#117C22×D1111yescharacteristic
1299C2×C4⋊C4—21no—
1300C2×C4⋊C4—111no—
1301C2×C4⋊C4—111no—
1302C2×C4⋊C4—221no—
1303C2×C4⋊C4—221no—
1304C2×C4⋊C4C22×D1111yescharacteristic
1305C2×C22⋊C4—221no—
1306C2×C22⋊C4—221no—
1307C2×C22⋊C4—221no—
1308C2×C22⋊C4—221no—
1309C2×C42—111no—
1310C2×C42—221no—
1311#107—111no—
1312#107—111no—
1313#107—111no—
1314#107—111no—
1315#107—111no—
1316#107—111no—
1317#107—111no—
1318#107—111no—
1319C4⋊C8—111no—
1320C4⋊C8—111no—
1321C4⋊C8—111no—
1322C4⋊C8—111no—
1323C4⋊C8—111no—
1324C4⋊C8—111no—
1325C4⋊C8C22×D1111yescharacteristic
1326C4⋊C8C22×D1111yescharacteristic
1327C4⋊C8C22×D1111yescharacteristic
1328C4⋊C8C22×D1111yescharacteristic
1329#103—111no—
1330#103—111no—
1331#103—111no—
1332#103—111no—
1333#103—111no—
1334#103—111no—
1335#103—111no—
1336#103—111no—
1337#103—111no—
1338#103—111no—
1339#103C22×D1111yescharacteristic
1340#103C22×D1111yescharacteristic
1341#102—111no—
1342#102—111no—
1343#102—111no—
1344#102—111no—
1345#102—111no—
1346#102—111no—
1347#102—111no—
1348#102—111no—
1349#102—111no—
1350#102—111no—
1351#102—111no—
1352#102—111no—
1353#102—111no—
1354#102—111no—
1355#102C22×D1111yescharacteristic
1356#102C22×D1111yescharacteristic
1357#102C22×D1111yescharacteristic
1358#102C22×D1111yescharacteristic
1359#102C22×D1111yescharacteristic
1360#102C22×D1111yescharacteristic
1361C22⋊C8—111no—
1362C22⋊C8—111no—
1363C22⋊C8—111no—
1364C22⋊C8—111no—
1365C22⋊C8—111no—
1366C22⋊C8—111no—
1367#97—111no—
1368#97—111no—
1369#97—111no—
1370#97—111no—
1371C4×C8—111no—
1372C4×C8—111no—
1373C2×C11—41no—
1374C2×C11—81no—
1375C2×C11—81no—
1376C2×C11—81no—
1377C2×C11—81no—
1378C2×C11#348811yescharacteristic
1379C2×C11C2×#57611yescharacteristic
1380C2×C11#358611yescharacteristic
1381D11—22no—
1382D11—41no—
1383D11—81no—
1384D11—81no—
1385C24—21no—
1386C24—221no—
1387C24—221no—
1388#41—22no—
1389#41—41no—
1390#41—41no—
1391#41—41no—
1392#41—222no—
1393#41—441no—
1394#41—441no—
1395#41—441no—
1396#41—882no—
1397#41—882no—
1398#41—882no—
1399#41—882no—
1400C2×Q8—111no—
1401C2×Q8—111no—
1402C2×Q8—111no—
1403C2×Q8—221no—
1404C2×Q8—221no—
1405C2×Q8—221no—
1406C2×Q8—221no—
1407C2×Q8—221no—
1408C2×Q8—221no—
1409C2×Q8—222no—
1410C2×Q8—441no—
1411C2×Q8—441no—
1412C2×Q8—441no—
1413C2×Q8C23×D1111yescharacteristic
1414C2×Q8C23×D1111yescharacteristic
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—111no—
1425C2×D4—111no—
1426C2×D4—111no—
1427C2×D4—111no—
1428C2×D4—111no—
1429C2×D4—221no—
1430C2×D4—221no—
1431C2×D4—221no—
1432C2×D4—221no—
1433C2×D4—221no—
1434C2×D4—221no—
1435C2×D4—221no—
1436C2×D4—221no—
1437C2×D4—221no—
1438C2×D4—221no—
1439C2×D4—221no—
1440C2×D4—221no—
1441C2×D4—221no—
1442C2×D4—221no—
1443C2×D4—221no—
1444C2×D4—221no—
1445C2×D4—441no—
1446C2×D4—441no—
1447C2×D4—441no—
1448C2×D4—441no—
1449C2×D4—882no—
1450C2×D4—882no—
1451C2×D4C23×D1111yescharacteristic
1452C2×D4C23×D1111yescharacteristic
1453C2×D4C23×D1111yescharacteristic
1454C2×D4C23×D1111yescharacteristic
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—21no—
1459C22×C4—21no—
1460C22×C4—111no—
1461C22×C4—111no—
1462C22×C4—111no—
1463C22×C4—111no—
1464C22×C4—221no—
1465C22×C4—221no—
1466C22×C4—221no—
1467C22×C4—221no—
1468C22×C4—221no—
1469C22×C4—221no—
1470C22×C4—221no—
1471C22×C4—221no—
1472C22×C4—221no—
1473C22×C4—221no—
1474C22×C4—221no—
1475C22×C4—221no—
1476C22×C4C23×D1111yescharacteristic
1477Q16—22no—
1478Q16—222no—
1479Q16—441no—
1480Q16—441no—
1481SD16—22no—
1482SD16—22no—
1483SD16—22no—
1484SD16—41no—
1485SD16—222no—
1486SD16—441no—
1487SD16—441no—
1488SD16—441no—
1489SD16—441no—
1490SD16—441no—
1491SD16—441no—
1492SD16—441no—
1493D8—41no—
1494D8—41no—
1495D8—41no—
1496D8—441no—
1497D8—441no—
1498D8—441no—
1499D8—441no—
1500D8—441no—
1501M16—41no—
1502M16—441no—
1503C2×C8—41no—
1504C2×C8—111no—
1505C2×C8—111no—
1506C2×C8—111no—
1507C2×C8—111no—
1508C2×C8—441no—
1509C2×C8—441no—
1510C2×C8—441no—
1511C2×C8C23×D1111yescharacteristic
1512C2×C8C23×D1111yescharacteristic
1513C2×C8C23×D1111yescharacteristic
1514C2×C8C23×D1111yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—111no—
1519C4⋊C4—111no—
1520C4⋊C4—111no—
1521C4⋊C4—111no—
1522C4⋊C4—111no—
1523C4⋊C4—111no—
1524C4⋊C4—111no—
1525C4⋊C4—111no—
1526C4⋊C4—111no—
1527C4⋊C4—111no—
1528C4⋊C4—111no—
1529C4⋊C4—111no—
1530C4⋊C4—221no—
1531C4⋊C4—221no—
1532C4⋊C4—221no—
1533C4⋊C4—221no—
1534C4⋊C4—221no—
1535C4⋊C4—221no—
1536C4⋊C4—221no—
1537C4⋊C4—221no—
1538C4⋊C4—221no—
1539C4⋊C4—221no—
1540C4⋊C4—221no—
1541C4⋊C4—221no—
1542C4⋊C4—221no—
1543C4⋊C4—221no—
1544C4⋊C4—221no—
1545C4⋊C4—221no—
1546C4⋊C4D4×D1111yescharacteristic
1547C4⋊C4D4×D1111yescharacteristic
1548C4⋊C4C23×D1111yescharacteristic
1549C4⋊C4C23×D1111yescharacteristic
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—111no—
1557C22⋊C4—111no—
1558C22⋊C4—111no—
1559C22⋊C4—111no—
1560C22⋊C4—111no—
1561C22⋊C4—111no—
1562C22⋊C4—111no—
1563C22⋊C4—111no—
1564C22⋊C4—221no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4—221no—
1569C22⋊C4—221no—
1570C22⋊C4—221no—
1571C22⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4—221no—
1574C22⋊C4—221no—
1575C22⋊C4—221no—
1576C22⋊C4—221no—
1577C22⋊C4—221no—
1578C22⋊C4—221no—
1579C22⋊C4—221no—
1580C22⋊C4—221no—
1581C22⋊C4—221no—
1582C22⋊C4—221no—
1583C22⋊C4—221no—
1584C22⋊C4—221no—
1585C22⋊C4—221no—
1586C22⋊C4—221no—
1587C22⋊C4—221no—
1588C22⋊C4—221no—
1589C22⋊C4—221no—
1590C22⋊C4—221no—
1591C22⋊C4—221no—
1592C22⋊C4—221no—
1593C22⋊C4—221no—
1594C22⋊C4D4×D1111yescharacteristic
1595C22⋊C4D4×D1111yescharacteristic
1596C42—21no—
1597C42—21no—
1598C42—111no—
1599C42—111no—
1600C42—111no—
1601C42—111no—
1602C42—221no—
1603C42—221no—
1604C42—221no—
1605C42—221no—
1606C42—221no—
1607C42—221no—
1608C42C23×D1111yescharacteristic
1609C42C23×D1111yescharacteristic
1610C11#6202211yescharacteristic, complemented, Sylow
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—81no—
1616C23—81no—
1617C23—81no—
1618C23—111no—
1619C23—111no—
1620C23—221no—
1621C23—221no—
1622C23—442no—
1623C23—881no—
1624C23—881no—
1625C23—881no—
1626C23—881no—
1627C23—881no—
1628C23C2×D4×D1111yescharacteristic
1629Q8—21no—
1630Q8—21no—
1631Q8—21no—
1632Q8—221no—
1633Q8—221no—
1634Q8—221no—
1635Q8—221no—
1636Q8—441no—
1637Q8—442no—
1638Q8—881no—
1639Q8—881no—
1640Q8—881no—
1641Q8—881no—
1642Q8—881no—
1643Q8#6703712yes—
1644D4—21no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—42no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—222no—
1660D4—222no—
1661D4—221no—
1662D4—221no—
1663D4—221no—
1664D4—221no—
1665D4—442no—
1666D4—442no—
1667D4—441no—
1668D4—442no—
1669D4—442no—
1670D4—442no—
1671D4—442no—
1672D4—881no—
1673D4—881no—
1674D4—881no—
1675D4—881no—
1676D4—881no—
1677D4—881no—
1678D4—881no—
1679D4—881no—
1680D4—881no—
1681D4—881no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—42no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—111no—
1694C2×C4—111no—
1695C2×C4—111no—
1696C2×C4—111no—
1697C2×C4—111no—
1698C2×C4—111no—
1699C2×C4—222no—
1700C2×C4—221no—
1701C2×C4—221no—
1702C2×C4—221no—
1703C2×C4—221no—
1704C2×C4—221no—
1705C2×C4—221no—
1706C2×C4—221no—
1707C2×C4—221no—
1708C2×C4—221no—
1709C2×C4—221no—
1710C2×C4—441no—
1711C2×C4—442no—
1712C2×C4—442no—
1713C2×C4—442no—
1714C2×C4—881no—
1715C2×C4—881no—
1716C2×C4—881no—
1717C2×C4—881no—
1718C2×C4—881no—
1719C2×C4—881no—
1720C2×C4—881no—
1721C2×C4—881no—
1722C2×C4—881no—
1723C2×C4C2×D4×D1111yescharacteristic
1724C2×C4C2×D4×D1111yescharacteristic
1725C2×C4C2×D4×D1111yescharacteristic
1726C2×C4C2×D4×D1111yescharacteristic
1727C2×C4C2×D4×D1111yescharacteristic
1728C2×C4C24×D1111yescharacteristic
1729C8—21no—
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—221no—
1734C8—221no—
1735C8—221no—
1736C8—221no—
1737C22—21no—
1738C22—21no—
1739C22—21no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—112no—
1753C22—162no—
1754C22—221no—
1755C22—221no—
1756C22—221no—
1757C22—221no—
1758C22—221no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—1762no—
1766C22—1762no—
1767C22C22×D4×D1111yescharacteristic
1768C4—21no—
1769C4—21no—
1770C4—21no—
1771C4—22no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—221no—
1778C4—221no—
1779C4—221no—
1780C4—221no—
1781C4—221no—
1782C4—221no—
1783C4—441no—
1784C4—441no—
1785C4—441no—
1786C4—441no—
1787C4—441no—
1788C4—441no—
1789C4C2×#6703711yescharacteristic
1790C4#1062345311yescharacteristic
1791C2—41no—
1792C2—81no—
1793C2—81no—
1794C2—81no—
1795C2—81no—
1796C2—222no—
1797C2—441no—
1798C2—881no—
1799C2—881no—
1800C2#1308228111yescharacteristic
1801C2D11×#57611yescharacteristic
1802C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3045C2
socleC22×C11C23×D4
hypercenter#3045D11
hypocenterC11#62022
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3045

Complements

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

NH ≅ G/Ntype
1. #13083134C2semidirect
2. #13082695C2semidirect
3. #13081704C2semidirect
4. #13081699C2semidirect
5. #13081434C2semidirect
6. #13081425C2semidirect
7. #13080698C2semidirect
8. #13080693C2semidirect
9. #13080614C2semidirect
10. #13080608C2semidirect
11. #13080432C2semidirect
12. #13080425C2semidirect
13. #13080352C2semidirect
14. #13080351C2semidirect
15. #13080156C2semidirect
16. #13080150C2semidirect
17. #13080106C2semidirect
18. #13080105C2semidirect
19. #13080077C2semidirect
20. #13080074C2semidirect
21. #13079924C2semidirect
22. #13079710C2semidirect
23. #13079707C2semidirect
24. #13079601C2semidirect
25. #13078878C2semidirect
26. #13078877C2semidirect
27. #13078737C2semidirect
28. #13078152C2semidirect
29. D11×#464C2semidirect
30. #13077753C2semidirect
31. C11×#3045C2semidirect
32. C2×C11×AGL(1,ℤ/8)C22semidirect
33. C2×C11×#135C22semidirect
35. C11×#520C22semidirect
36. #10623365C22semidirect
38. #10623362C22semidirect
42. C2×Q16×D11C22semidirect
43. C2×#66969C22semidirect
44. C2×#66967C22semidirect
62. #10623107C22semidirect
63. #10623105C22semidirect
64. C4×Q8×D11C22semidirect
65. Q8×Dic22C22semidirect
67. #10623092C22semidirect
69. #10623090C22semidirect
71. #10623082C22semidirect
73. #10623079C22semidirect
76. #10623065C22semidirect
80. #10623042C22semidirect
82. #10623038C22semidirect
83. C11×#464C22semidirect
84. C11×#464C22semidirect
85. C11×#463C22semidirect
86. C11×#463C22semidirect
88. C11×#460C22semidirect
90. C11×#459C22semidirect
91. C11×#424C22semidirect
92. C11×#417C22semidirect
93. C2×C11×#102C22semidirect
94. #10622852C22semidirect
95. #10622852C22semidirect
97. #10622851C22semidirect
98. #10622831C22semidirect
99. #10622830C22semidirect
100. #10622800C22semidirect
101. #10622798C22semidirect
102. Q16×Dic11C22semidirect
103. #10622789C22semidirect
104. #10622787C22semidirect
106. #10622783C22semidirect
107. #10622783C22semidirect
108. #10622783C22semidirect
109. #10622779C22semidirect
110. #10622779C22semidirect
111. #10622779C22semidirect
112. #10622777C22semidirect
113. #10622777C22semidirect
114. #10622777C22semidirect
116. #10622771C22semidirect
118. #10622770C22semidirect
119. #10622770C22semidirect
121. #10622769C22semidirect
122. #10622768C22semidirect
124. #10622767C22semidirect
125. #10622766C22semidirect
126. #10622763C22semidirect
127. #10622763C22semidirect
129. #10622747C22semidirect
130. #10622740C22semidirect
131. #10622740C22semidirect
132. #10622729C22semidirect
134. #10622724C22semidirect
135. C8×C22⋊D11C22semidirect
136. #10622688C22semidirect
138. #10622685C22semidirect
140. #10622672C22semidirect
141. #10622670C22semidirect
142. #10622668C22semidirect
143. #10622667C22semidirect
144. C4×#4326C22semidirect
145. #10622641C22semidirect
146. #10622639C22semidirect
147. #10622634C22semidirect
148. #10622631C22semidirect
149. #10622629C22semidirect
150. C4×#4323C22semidirect
151. #10622620C22semidirect
152. #10622613C22semidirect
153. #10622583C22semidirect
155. #10622463C22semidirect
156. #10622463C22semidirect
157. #10622459C22semidirect
158. #10622459C22semidirect
159. #10622458C22semidirect
160. #10622458C22semidirect
161. #10622457C22semidirect
162. #10622457C22semidirect
163. #10622453C22semidirect
164. #10622452C22semidirect
165. #10622449C22semidirect
166. #10622448C22semidirect
167. #10622447C22semidirect
168. D11×C4⋊C8C22semidirect
169. #10622444C22semidirect
170. #10622441C22semidirect
171. #10622430C22semidirect
172. #10622426C22semidirect
173. #10622422C22semidirect
174. #10622419C22semidirect
175. D11×#103C22semidirect
176. #10622411C22semidirect
177. #10622408C22semidirect
178. #10622407C22semidirect
179. #10622400C22semidirect
181. #10622396C22semidirect
183. #10622389C22semidirect
184. #10622388C22semidirect
185. #10622388C22semidirect
187. #10622387C22semidirect
188. #10622387C22semidirect
190. #10622384C22semidirect
192. D11×#102C22semidirect
193. #10622380C22semidirect
194. #10622378C22semidirect
195. #10622378C22semidirect
197. #10622372C22semidirect
198. #10622372C22semidirect
199. #10622372C22semidirect
200. #10622370C22semidirect
201. #10622370C22semidirect
202. #10622369C22semidirect
738. #3045D11semidirect
868. C2×AGL(1,ℤ/8)C2×D11semidirect
870. C2×#135C2×D11semidirect
916. #520C2×D11semidirect
968. #464C2×D11semidirect
969. #464C2×D11semidirect
976. #463C2×D11semidirect
977. #463C2×D11semidirect
981. #460C2×D11semidirect
987. #459C2×D11semidirect
1030. #424C2×D11semidirect
1033. #417C2×D11semidirect
1037. C2×#102C2×D11semidirect
1610. C11#62022semidirect

Maximal subgroups

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

subgroupindex
#130831342
#130826952
#130817042
#130816992
#130814342
#130814252
#130806982
#130806932
#130806142
#130806082
#130804322
#130804252
#130803522
#130803512
#130801562
#130801502
#130801062
#130801052
#130800772
#130800742
#130799242
#130797102
#130797072
#130796012
#130788782
#130788772
#130787372
#130781522
D11×#4642
#130777532
C11×#30452
#6202211