Finite Group Databasebeta

← #15638671

Subgroups — #15638671

Order 2816.

2126 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082443C211yesmaximal, characteristic, complemented
2D11×#547C211yesmaximal, characteristic, complemented
3#13080714C211yesmaximal, characteristic, complemented
4#13080712C211yesmaximal, characteristic, complemented
5#13080707C211yesmaximal, characteristic, complemented
6#13080705C211yesmaximal, characteristic, complemented
7#13080599C211yesmaximal, characteristic, complemented
8#13080598C211yesmaximal, characteristic, complemented
9#13080597C211yesmaximal, characteristic, complemented
10#13080596C211yesmaximal, characteristic, complemented
11#13080177C211yesmaximal, characteristic, complemented
12#13080171C211yesmaximal, characteristic, complemented
13#13080170C211yesmaximal, characteristic, complemented
14#13080164C211yesmaximal, characteristic, complemented
15#13080139C211yesmaximal, characteristic, complemented
16#13080137C211yesmaximal, characteristic, complemented
17#13080135C211yesmaximal, characteristic, complemented
18#13079642C211yesmaximal, characteristic, complemented
19#13079639C211yesmaximal, characteristic, complemented
20#13079436C211yesmaximal, characteristic, complemented
21#13079419C211yesmaximal, characteristic, complemented
22#13079395C211yesmaximal, characteristic, complemented
23#13079392C211yesmaximal, characteristic, complemented
24#13078753C211yesmaximal, characteristic, complemented
25#13078752C211yesmaximal, characteristic, complemented
26#13077873C211yesmaximal, characteristic, complemented
27#13077864C211yesmaximal, characteristic, complemented
28#13077831C211yesmaximal, characteristic, complemented
29#13077830C211yesmaximal, characteristic, complemented
30#13077641C211yesmaximal, characteristic, complemented
31C11×#3267C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic, complemented
34C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C2×C11×#135C2211yescharacteristic, complemented
36C11×#547C2211yescharacteristic
37C11×#546C2211yescharacteristic, complemented
38#10623362C2211yescharacteristic, complemented
39#10623359C2211yescharacteristic
40#10623355C2211yescharacteristic
41#10623355C2211yescharacteristic, complemented
42C2×#67003C2211yescharacteristic, complemented
43#10623337C2211yescharacteristic, complemented
44C2×#66991C2211yescharacteristic
45C2×#66985C2211yescharacteristic, complemented
46C2×#66971C2211yescharacteristic, complemented
47C2×#66969C2211yescharacteristic, complemented
48C2×#66968C2211yescharacteristic, complemented
49C2×#66965C2211yescharacteristic, complemented
50#10623257C2211yescharacteristic, complemented
51D11×C4⋊Q8C2211yescharacteristic, complemented
52#10623211C2211yescharacteristic
53#10623208C2211yescharacteristic, complemented
54#10623192—21no—
55#10623191—21no—
56#10623186—21no—
57#10623186—21no—
58D11×#123—21no—
59D11×#123—21no—
60#10623173C2211yescharacteristic, complemented
61#10623162C2211yescharacteristic
62#10623162C2211yescharacteristic, complemented
63D11×C22⋊Q8C2211yescharacteristic
64D11×C22⋊Q8C2211yescharacteristic
65D11×C22⋊Q8C2211yescharacteristic, complemented
66#10623145—21no—
67#10623145C2211yescharacteristic, complemented
68#10623144—21no—
69#10623142—21no—
70#10623137C2211yescharacteristic
71D11×#121—21no—
72#10623120—21no—
73#10623118—21no—
74#10623089C2211yescharacteristic, complemented
75#10623088C2211yescharacteristic
76#10623086C2211yescharacteristic, complemented
77#10623082C2211yescharacteristic
78C4×D4×D11C2211yescharacteristic
79C4×D4×D11C2211yescharacteristic, complemented
80#10623072C2211yescharacteristic, complemented
81#10623038—21no—
82C2×C4⋊C4×D11—21no—
83#10623026—21no—
84#10623017—21no—
85C11×#497C2211yescharacteristic, complemented
86C11×#470C2211yescharacteristic, complemented
87C11×#465C2211yescharacteristic, complemented
88C11×#463C2211yescharacteristic, complemented
89C11×#461C2211yescharacteristic, complemented
90C11×#452C2211yescharacteristic, complemented
91C11×#452C2211yescharacteristic, complemented
92C11×#450C2211yescharacteristic, complemented
93C11×#449C2211yescharacteristic, complemented
94C11×#442C2211yescharacteristic, complemented
95C11×#435C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic, complemented
97#10622852C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622846C2211yescharacteristic, complemented
100#10622845C2211yescharacteristic, complemented
101#10622831C2211yescharacteristic, complemented
102#10622801C2211yescharacteristic, complemented
103#10622800C2211yescharacteristic, complemented
104#10622799C2211yescharacteristic, complemented
105#10622799C2211yescharacteristic, complemented
106#10622799C2211yescharacteristic, complemented
107#10622795C2211yescharacteristic, complemented
108#10622795C2211yescharacteristic, complemented
109#10622787C2211yescharacteristic, complemented
110#10622787C2211yescharacteristic, complemented
111#10622786C2211yescharacteristic, complemented
112#10622786C2211yescharacteristic, complemented
113#10622785C2211yescharacteristic, complemented
114#10622785C2211yescharacteristic, complemented
115#10622785C2211yescharacteristic, complemented
116#10622784C2211yescharacteristic, complemented
117#10622783C2211yescharacteristic
118#10622783C2211yescharacteristic
119#10622783C2211yescharacteristic
120#10622783C2211yescharacteristic
121#10622782C2211yescharacteristic, complemented
122#10622780C2211yescharacteristic, complemented
123#10622780C2211yescharacteristic, complemented
124#10622777C2211yescharacteristic, complemented
125#10622775C2211yescharacteristic, complemented
126#10622775C2211yescharacteristic, complemented
127#10622771C2211yescharacteristic, complemented
128#10622771C2211yescharacteristic, complemented
129#10622771C2211yescharacteristic, complemented
130#10622769C2211yescharacteristic
131#10622769C2211yescharacteristic
132#10622766C2211yescharacteristic, complemented
133#10622765C2211yescharacteristic, complemented
134#10622750C2211yescharacteristic, complemented
135#10622746C2211yescharacteristic, complemented
136#10622740C2211yescharacteristic, complemented
137#10622739C2211yescharacteristic
138#10622729C2211yescharacteristic, complemented
139#10622726C2211yescharacteristic, complemented
140#10622724C2211yescharacteristic, complemented
141C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
142#10622703C2211yescharacteristic, complemented
143#10622695C2211yescharacteristic, complemented
144#10622673C2211yescharacteristic, complemented
145#10622670C2211yescharacteristic, complemented
146#10622665C2211yescharacteristic, complemented
147#10622665C2211yescharacteristic, complemented
148#10622664C2211yescharacteristic, complemented
149#10622660C2211yescharacteristic, complemented
150#10622658C2211yescharacteristic, complemented
151#10622657C2211yescharacteristic, complemented
152#10622654C2211yescharacteristic, complemented
153#10622650C2211yescharacteristic, complemented
154#10622632C2211yescharacteristic, complemented
155#10622631C2211yescharacteristic, complemented
156#10622627C2211yescharacteristic, complemented
157#10622624C2211yescharacteristic, complemented
158#10622622C2211yescharacteristic, complemented
159#10622484C2211yescharacteristic, complemented
160#10622480C2211yescharacteristic, complemented
161#10622475C2211yescharacteristic, complemented
162#10622475C2211yescharacteristic, complemented
163#10622462C2211yescharacteristic, complemented
164#10622460C2211yescharacteristic, complemented
165#10622449C2211yescharacteristic, complemented
166#10622448C2211yescharacteristic, complemented
167#10622430C2211yescharacteristic, complemented
168#10622427C2211yescharacteristic, complemented
169#10622426C2211yescharacteristic, complemented
170#10622421C2211yescharacteristic, complemented
171#10622421C2211yescharacteristic, complemented
172#10622421C2211yescharacteristic, complemented
173#10622418C2211yescharacteristic, complemented
174#10622418C2211yescharacteristic, complemented
175#10622417C2211yescharacteristic, complemented
176#10622416C2211yescharacteristic, complemented
177#10622410C2211yescharacteristic, complemented
178#10622410C2211yescharacteristic, complemented
179#10622400C2211yescharacteristic, complemented
180#10622398C2211yescharacteristic, complemented
181#10622396C2211yescharacteristic, complemented
182#10622393C2211yescharacteristic, complemented
183#10622393C2211yescharacteristic, complemented
184#10622391C2211yescharacteristic, complemented
185#10622389C2211yescharacteristic, complemented
186#10622387C2211yescharacteristic
187#10622387C2211yescharacteristic
188#10622385C2211yescharacteristic, complemented
189#10622384C2211yescharacteristic, complemented
190#10622379C2211yescharacteristic, complemented
191#10622346C2211yescharacteristic, complemented
192#10622346C2211yescharacteristic, complemented
193#10622343C2211yescharacteristic, complemented
194#10622341C2211yescharacteristic, complemented
195#10622339C2211yescharacteristic
196D11×C22⋊C8C2211yescharacteristic, complemented
197#10622336C2211yescharacteristic, complemented
198#10622335C2211yescharacteristic, complemented
199#10622323C2211yescharacteristic, complemented
200#10622319C2211yescharacteristic, complemented
201#10622318C2211yescharacteristic, complemented
202#10622316C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C2×C11×#41C2311yescharacteristic
206C22×D4×C11C2311yescharacteristic
207C22×C22⋊D11—21no—
208#41×D11—42no—
209#41×D11—42no—
210#41×D11—42no—
211#41×D11—42no—
212C2×#4343C2311yescharacteristic
213C2×#4343C2311yescharacteristic
214C2×Q8×D11C2311yescharacteristic
215C2×Q8×D11C2311yescharacteristic
216C2×Q8×D11C2311yescharacteristic
217C2×#4341—21no—
218C2×#4341—21no—
219C2×#4341C2311yescharacteristic
220C2×#4341C2311yescharacteristic
221C2×#4341C2311yescharacteristic
222C2×D4×D11—21no—
223C2×D4×D11—21no—
224C2×D4×D11D411yescharacteristic
225C2×D4×D11C2311yescharacteristic
226C2×#4339—21no—
227C2×#4339—21no—
228C2×#4339C2311yescharacteristic
229C2×#4339C2311yescharacteristic
230C22×C4×D11—21no—
231C22×C4×D11—21no—
232C22×C4×D11—21no—
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C11×AGL(1,ℤ/8)—42no—
236C11×#135—42no—
237C2×C11×Q16C2311yescharacteristic
238C2×C11×Q16C2311yescharacteristic
239C2×C11×SD16C2311yescharacteristic
240C2×C11×SD16C2311yescharacteristic
241C2×C11×SD16C2311yescharacteristic
242C2×C11×SD16C2311yescharacteristic
243C2×C11×SD16C2311yescharacteristic
244C2×C11×D8C2311yescharacteristic
245C2×C11×D8C2311yescharacteristic
246C2×C11×M16C2311yescharacteristic
247C22×C8×C11C2311yescharacteristic
248C11×C4⋊Q8C2311yescharacteristic
249C11×#124C2311yescharacteristic
250C11×#123—21no—
251C11×#123—21no—
252C11×#123—21no—
253C11×C22⋊Q8C2311yescharacteristic
254C11×C22⋊Q8C2311yescharacteristic
255C11×C22⋊Q8C2311yescharacteristic
256C11×#121—21no—
257C11×#121—21no—
258C11×#121C2311yescharacteristic
259C11×#120—21no—
260C4×D4×C11C2311yescharacteristic
261C4×D4×C11C2311yescharacteristic
262C4×D4×C11C2311yescharacteristic
263C2×C11×C4⋊C4—21no—
264C2×C11×C22⋊C4—21no—
265#67006—21no—
266C2×C22⋊Dic11—21no—
267C2×C22⋊Dic11—21no—
268#67003—42no—
269#66999C2311yescharacteristic
270#66999C2311yescharacteristic
271#66999C2311yescharacteristic
272#66999C2311yescharacteristic
273Q8×Dic11C2311yescharacteristic
274#66997C2311yescharacteristic
275#66997C2311yescharacteristic
276C2×#4326C2311yescharacteristic
277C2×#4326C2311yescharacteristic
278C2×#4326C2311yescharacteristic
279C2×#4326C2311yescharacteristic
280C2×#4325C2311yescharacteristic
281#66992—21no—
282#66992—21no—
283#66992—21no—
284#66991—21no—
285#66991—21no—
286#66991—21no—
287#66991—21no—
288#66991—21no—
289#66991C2311yescharacteristic
290#66991C2311yescharacteristic
291#66991C2311yescharacteristic
292#66991C2311yescharacteristic
293#66991C2311yescharacteristic
294#66990—21no—
295#66990—21no—
296#66989—21no—
297#66989C2311yescharacteristic
298#66988—21no—
299#66988—21no—
300#66988—21no—
301#66988—21no—
302#66988—21no—
303#66988—21no—
304D4×Dic11—21no—
305D4×Dic11D411yescharacteristic
306D4×Dic11C2311yescharacteristic
307D4×Dic11C2311yescharacteristic
308C2×#4324C2311yescharacteristic
309C2×#4324C2311yescharacteristic
310C2×#4324C2311yescharacteristic
311C2×#4324C2311yescharacteristic
312C2×#4324C2311yescharacteristic
313#66985—42no—
314C2×#4323C2311yescharacteristic
315C2×#4323C2311yescharacteristic
316#66983—21no—
317#66982—21no—
318#66982—21no—
319#66982—21no—
320C4×C22⋊D11—21no—
321C4×C22⋊D11—21no—
322C4×C22⋊D11—21no—
323C4×C22⋊D11—21no—
324C4×C22⋊D11—21no—
325C4×C22⋊D11—21no—
326C4×C22⋊D11C2311yescharacteristic
327C4×C22⋊D11C2311yescharacteristic
328#66979—21no—
329#66979C2311yescharacteristic
330C2×C4⋊Dic11—21no—
331C2×C4⋊Dic11C2311yescharacteristic
332#66977—21no—
333#66977C2311yescharacteristic
334#66977C2311yescharacteristic
335#66977C2311yescharacteristic
336#66977C2311yescharacteristic
337C2×Dic11⋊C4—21no—
338C2×Dic11⋊C4—21no—
339C2×#4318C2311yescharacteristic
340C22×C11⋊C8C2311yescharacteristic
341#66971—42no—
342#66969—42no—
343#66968—42no—
344#66965—42no—
345C2×Dic44C2311yescharacteristic
346C2×Dic44C2311yescharacteristic
347C2×#4314C2311yescharacteristic
348C2×#4313C2311yescharacteristic
349C2×#4313C2311yescharacteristic
350C2×C8×D11C2311yescharacteristic
351C2×C8×D11C2311yescharacteristic
352#66951—21no—
353#66950C2311yescharacteristic
354#66950C2311yescharacteristic
355#66950C2311yescharacteristic
356#66949—21no—
357#66949—21no—
358#66949—21no—
359#66948—21no—
360#66947—21no—
361#66947—21no—
362#66947—21no—
363#66947—21no—
364#66946D411yescharacteristic
365#66946C2311yescharacteristic
366#66945C2311yescharacteristic
367C4⋊C4×D11—21no—
368C4⋊C4×D11—21no—
369C4⋊C4×D11—21no—
370C4⋊C4×D11—21no—
371C4⋊C4×D11—21no—
372C4⋊C4×D11—21no—
373C4⋊C4×D11—21no—
374C4⋊C4×D11—21no—
375C4⋊C4×D11—21no—
376C4⋊C4×D11D411yescharacteristic
377C4⋊C4×D11C2311yescharacteristic
378C4⋊C4×D11C2311yescharacteristic
379#66943—21no—
380#66943C2311yescharacteristic
381#66942—21no—
382#66941—21no—
383#66941—21no—
384#66939—21no—
385#66939—21no—
386#66939—21no—
387#66938—21no—
388#66937—21no—
389#66937—21no—
390#66937—21no—
391#66937—21no—
392#66936—21no—
393#66936—21no—
394#66936—21no—
395#66936—21no—
396#66936—21no—
397#66936—21no—
398#66936—21no—
399(C22⋊D11)⋊C4—21no—
400(C22⋊D11)⋊C4—21no—
401(C22⋊D11)⋊C4—21no—
402(C22⋊D11)⋊C4—21no—
403(C22⋊D11)⋊C4—21no—
404(C22⋊D11)⋊C4D411yescharacteristic
405(C22⋊D11)⋊C4D411yescharacteristic
406C22⋊C4×D11—21no—
407C22⋊C4×D11—21no—
408C22⋊C4×D11—21no—
409C22⋊C4×D11—21no—
410C22⋊C4×D11D411yescharacteristic
411C22⋊C4×D11D411yescharacteristic
412#66932—21no—
413#66932—21no—
414#66932—21no—
415#66932—21no—
416#66932—21no—
417#66931—21no—
418#66931—21no—
419#66931—21no—
420#66931—21no—
421#66930—21no—
422#66930—21no—
423#66930—21no—
424C4×D44C2311yescharacteristic
425C4×D44C2311yescharacteristic
426C42×D11C2311yescharacteristic
427#66923C2311yescharacteristic
428#66922C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×#106C2311yescharacteristic
431C11×C4⋊C8C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C11×#97C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66899C2311yescharacteristic
447#66899C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454C22⋊(C11⋊C8)C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466#66882C2311yescharacteristic
467#66882C2311yescharacteristic
468#66881C2311yescharacteristic
469#66880C2311yescharacteristic
470#66880C2311yescharacteristic
471#66880C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66880C2311yescharacteristic
475#66880C2311yescharacteristic
476#66879C2311yescharacteristic
477#66879C2311yescharacteristic
478Dic11⋊C8C2311yescharacteristic
479Dic11⋊C8C2311yescharacteristic
480#66874C2311yescharacteristic
481#66874C2311yescharacteristic
482#66874C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489#66867C2311yescharacteristic
490#61575—111nomaximal, Sylow
491C24×C11—21no—
492C23×D11—21no—
493C23×D11C2×D411yescharacteristic
494C23×D11C2×D411yescharacteristic
495C11×#41—22no—
496C11×#41—22no—
497C11×#41—41no—
498C11×#41—41no—
499C11×#41—41no—
500C11×#41—41no—
501C2×Q8×C11C2411yescharacteristic
502C2×Q8×C11C2411yescharacteristic
503C2×Q8×C11C2411yescharacteristic
504C2×D4×C11—21no—
505C2×D4×C11—21no—
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11—41no—
510C2×D4×C11—41no—
511C2×D4×C11C2×D411yescharacteristic
512C2×D4×C11C2411yescharacteristic
513C2×D4×C11C2411yescharacteristic
514C2×D4×C11C2411yescharacteristic
515C22×C4×C11—21no—
516C22×C4×C11—21no—
517C22×C4×C11—21no—
518C22×C4×C11—21no—
519C22×C4×C11—21no—
520C22×C4×C11C2411yescharacteristic
521C22×C4×C11C2411yescharacteristic
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—21no—
530C2×C22⋊D11—21no—
531C2×C22⋊D11—21no—
532C2×C22⋊D11—21no—
533C2×C22⋊D11—44no—
534C2×C22⋊D11C2×D411yescharacteristic
535C2×C22⋊D11C2×D411yescharacteristic
536C22×Dic11—21no—
537C22×Dic11—21no—
538C22×Dic11—21no—
539C22×Dic11—21no—
540C22×Dic11—21no—
541C22×Dic11—21no—
542C22×Dic11C2×D411yescharacteristic
543C22×Dic11C2×D411yescharacteristic
544#4343—22no—
545#4343—22no—
546#4343—41no—
547#4343—41no—
548Q8×D11—41no—
549Q8×D11—41no—
550Q8×D11—41no—
551Q8×D11—41no—
552Q8×D11—41no—
553Q8×D11—41no—
554#4341—22no—
555#4341—22no—
556#4341—41no—
557#4341—41no—
558#4341—41no—
559#4341—41no—
560#4341—44no—
561#4341—44no—
562D4×D11—22no—
563D4×D11—22no—
564D4×D11—42no—
565D4×D11—44no—
566D4×D11—44no—
567#4339—22no—
568#4339—22no—
569#4339—41no—
570#4339—41no—
571#4339—44no—
572#4339—44no—
573C2×D44—21no—
574C2×D44—21no—
575C2×D44C2×D411yescharacteristic
576C2×D44C2411yescharacteristic
577C2×C4×D11—21no—
578C2×C4×D11—21no—
579C2×C4×D11—21no—
580C2×C4×D11—21no—
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—41no—
589C2×C4×D11—41no—
590C2×C4×D11—41no—
591C2×C4×D11—41no—
592C2×C4×D11—44no—
593C2×C4×D11—44no—
594C2×C4×D11—44no—
595C2×C4×D11C2×D411yescharacteristic
596C2×C4×D11C2×D411yescharacteristic
597C2×C4×D11C2×D411yescharacteristic
598C2×C4×D11C2×D411yescharacteristic
599C2×C4×D11C2×D411yescharacteristic
600C2×C4×D11C2×D411yescharacteristic
601C2×C4×D11C2411yescharacteristic
602C2×C4×D11C2411yescharacteristic
603C2×C4×D11C2411yescharacteristic
604C2×Dic22—21no—
605C2×Dic22—21no—
606C2×Dic22—21no—
607C2×Dic22C2411yescharacteristic
608C2×Dic22C2411yescharacteristic
609C2×Dic22C2411yescharacteristic
610C11×Q16—41no—
611C11×Q16—41no—
612C11×SD16—22no—
613C11×SD16—41no—
614C11×SD16—41no—
615C11×SD16—41no—
616C11×SD16—41no—
617C11×D8—22no—
618C11×D8—22no—
619C11×M16—41no—
620C2×C8×C11—41no—
621C2×C8×C11C2411yescharacteristic
622C2×C8×C11C2411yescharacteristic
623C2×C8×C11C2411yescharacteristic
624C2×C8×C11C2411yescharacteristic
625C11×C4⋊C4—21no—
626C11×C4⋊C4—21no—
627C11×C4⋊C4—21no—
628C11×C4⋊C4—21no—
629C11×C4⋊C4—21no—
630C11×C4⋊C4C2×D411yescharacteristic
631C11×C4⋊C4C2411yescharacteristic
632C11×C4⋊C4C2411yescharacteristic
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4—21no—
637C11×C22⋊C4—21no—
638C11×C22⋊C4—21no—
639C11×C22⋊C4—21no—
640C11×C22⋊C4—21no—
641C11×C22⋊C4C2×D411yescharacteristic
642C11×C22⋊C4C2×D411yescharacteristic
643C42×C11C2411yescharacteristic
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11—21no—
651C22⋊Dic11—21no—
652C22⋊Dic11—21no—
653C22⋊Dic11—21no—
654C22⋊Dic11—21no—
655C22⋊Dic11—21no—
656C22⋊Dic11—21no—
657C22⋊Dic11—21no—
658C22⋊Dic11C2×D411yescharacteristic
659C22⋊Dic11C2×D411yescharacteristic
660#4326—41no—
661#4326—41no—
662#4326—41no—
663#4326—41no—
664#4325—22no—
665#4324—22no—
666#4324—41no—
667#4324—41no—
668#4324—41no—
669#4324—41no—
670#4323—22no—
671#4323—22no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4C2×D411yescharacteristic
683(C2×D11)⋊C4C2×D411yescharacteristic
684(C2×D11)⋊C4C2×D411yescharacteristic
685(C2×D11)⋊C4C2×D411yescharacteristic
686C4⋊Dic11—21no—
687C4⋊Dic11—21no—
688C4⋊Dic11—21no—
689C4⋊Dic11—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11—21no—
692C4⋊Dic11—21no—
693C4⋊Dic11—21no—
694C4⋊Dic11C2×D411yescharacteristic
695C4⋊Dic11C2411yescharacteristic
696C4⋊Dic11C2411yescharacteristic
697C4⋊Dic11C2411yescharacteristic
698C4⋊Dic11C2411yescharacteristic
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4—21no—
714Dic11⋊C4—21no—
715Dic11⋊C4—21no—
716Dic11⋊C4—21no—
717Dic11⋊C4C2×D411yescharacteristic
718Dic11⋊C4C2×D411yescharacteristic
719C4×Dic11—21no—
720C4×Dic11—21no—
721C4×Dic11—21no—
722C4×Dic11—21no—
723C4×Dic11C2×D411yescharacteristic
724C4×Dic11C2×D411yescharacteristic
725C4×Dic11C2411yescharacteristic
726#4318—41no—
727C2×C11⋊C8—41no—
728C2×C11⋊C8C2411yescharacteristic
729C2×C11⋊C8C2411yescharacteristic
730C2×C11⋊C8C2411yescharacteristic
731C2×C11⋊C8C2411yescharacteristic
732Dic44—41no—
733Dic44—41no—
734#4314—22no—
735#4313—41no—
736#4313—41no—
737C8×D11—41no—
738C8×D11—41no—
739#3505—111no—
740C2×#547—111no—
741#3315—111no—
742#3315—111no—
743#3315—111no—
744#3315—111no—
745#3307—111no—
746#3307—111no—
747#3307—111no—
748#3307—111no—
749#3269—111no—
750#3269—111no—
751#3269—111no—
752#3269—111no—
753#3267—111no—
754#3267—111no—
755#3267—111no—
756#3267D1111yescharacteristic, complemented
757#3218—111no—
758#3218—111no—
759#3195—111no—
760#3193—111no—
761#3190—111no—
762#3190—111no—
763#3114—111no—
764#3114—111no—
765#3007—111no—
766#3006—111no—
767#3002—111no—
768#3002—111no—
769#2973—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11—21no—
773C23×C11—42no—
774C23×C11—81no—
775C23×C11—81no—
776C23×C11C22×D411yescharacteristic
777C23×C11C22×D411yescharacteristic
778C22×D11—24no—
779C22×D11—21no—
780C22×D11—22no—
781C22×D11—22no—
782C22×D11—41no—
783C22×D11—41no—
784C22×D11—41no—
785C22×D11—41no—
786C22×D11—42no—
787C22×D11—42no—
788C22×D11C22×D411yescharacteristic
789C22×D11C22×D411yescharacteristic
790C22×D11C22×D411yescharacteristic
791Q8×C11—21no—
792Q8×C11—21no—
793Q8×C11—21no—
794Q8×C11—21no—
795Q8×C11—21no—
796Q8×C11—21no—
797D4×C11—21no—
798D4×C11—21no—
799D4×C11—21no—
800D4×C11—21no—
801D4×C11—21no—
802D4×C11—41no—
803D4×C11—42no—
804D4×C11—42no—
805D4×C11—81no—
806D4×C11—81no—
807D4×C11—81no—
808D4×C11H(5,𝔽2)12yes—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
816C2×C4×C11—21no—
817C2×C4×C11—21no—
818C2×C4×C11—42no—
819C2×C4×C11—42no—
820C2×C4×C11—42no—
821C2×C4×C11—81no—
822C2×C4×C11—81no—
823C2×C4×C11C22×D411yescharacteristic
824C2×C4×C11C22×D411yescharacteristic
825C2×C4×C11C22×D411yescharacteristic
826C2×C4×C11C22×D411yescharacteristic
827C2×C4×C11C2511yescharacteristic
828C22⋊D11—24no—
829C22⋊D11—41no—
830C22⋊D11—41no—
831C22⋊D11—42no—
832C22⋊D11—42no—
833C22⋊D11—42no—
834C22⋊D11—42no—
835C22⋊D11—42no—
836C22⋊D11—42no—
837C22⋊D11—42no—
838C22⋊D11—42no—
839C22⋊D11—81no—
840C22⋊D11—81no—
841C2×Dic11—21no—
842C2×Dic11—21no—
843C2×Dic11—21no—
844C2×Dic11—21no—
845C2×Dic11—21no—
846C2×Dic11—21no—
847C2×Dic11—21no—
848C2×Dic11—41no—
849C2×Dic11—41no—
850C2×Dic11—42no—
851C2×Dic11—42no—
852C2×Dic11—42no—
853C2×Dic11—42no—
854C2×Dic11—81no—
855C2×Dic11—81no—
856C2×Dic11C22×D411yescharacteristic
857C2×Dic11C22×D411yescharacteristic
858C2×Dic11C22×D411yescharacteristic
859C2×Dic11C22×D411yescharacteristic
860C2×Dic11C22×D411yescharacteristic
861D44—21no—
862D44—41no—
863D44—42no—
864D44—42no—
865D44H(5,𝔽2)12yes—
866C4×D11—22no—
867C4×D11—21no—
868C4×D11—21no—
869C4×D11—21no—
870C4×D11—21no—
871C4×D11—21no—
872C4×D11—21no—
873C4×D11—41no—
874C4×D11—41no—
875C4×D11—41no—
876C4×D11—41no—
877C4×D11—41no—
878C4×D11—42no—
879C4×D11—42no—
880C4×D11—42no—
881C4×D11—42no—
882C4×D11—42no—
883C4×D11—42no—
884C4×D11—42no—
885C4×D11—42no—
886C4×D11—42no—
887C4×D11—81no—
888C4×D11—81no—
889Dic22—21no—
890Dic22—21no—
891Dic22—21no—
892Dic22—21no—
893Dic22—21no—
894Dic22—21no—
895Dic22—42no—
896Dic22—42no—
897Dic22—81no—
898C8×C11—21no—
899C8×C11—21no—
900C8×C11—21no—
901C8×C11—21no—
902C11⋊C8—21no—
903C11⋊C8—21no—
904C11⋊C8—21no—
905C11⋊C8—21no—
906C22×#41—111no—
907C22×#41—111no—
908C2×#137—111no—
909C2×#137—111no—
910C2×AGL(1,ℤ/8)—111no—
911C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
912C2×#135—111no—
913C2×#135—111no—
914C2×#135—111no—
915C2×#135C2×D1111yescharacteristic, complemented
916#553—111no—
917#553—111no—
918#553—221no—
919#553—221no—
920#552—111no—
921#552—111no—
922#551—221no—
923#551—221no—
924#548—111no—
925#548—111no—
926#547—111no—
927#547—111no—
928#547—111no—
929#547—111no—
930#547—111no—
931#547—111no—
932#547—111no—
933#547—221no—
934#547—221no—
935#547—221no—
936#547—221no—
937#547C2×D1111yescharacteristic
938#546—111no—
939#546C2×D1111yescharacteristic, complemented
940#539—221no—
941#538—221no—
942#534—221no—
943C2×C4⋊Q8—111no—
944#529—111no—
945#529—111no—
946#525—111no—
947#525—111no—
948C2×#123—221no—
949C2×#123—221no—
950C2×C22⋊Q8—111no—
951C2×C22⋊Q8—111no—
952C2×C22⋊Q8—111no—
953C2×#121—111no—
954C2×#121—221no—
955#518—221no—
956C2×C4×D4—111no—
957C2×C4×D4—111no—
958C22×C4⋊C4—221no—
959#497—111no—
960#497—111no—
961#497—111no—
962#497C2×D1111yescharacteristic, complemented
963#491—111no—
964#491—111no—
965#491—111no—
966#491—111no—
967#485—111no—
968#485—111no—
969#485—111no—
970#485—111no—
971#484—111no—
972#484—111no—
973#483—111no—
974#483—111no—
975#483—111no—
976#483—111no—
977#480—111no—
978#480—111no—
979#478—111no—
980#478—111no—
981#478—111no—
982#478—111no—
983#470—111no—
984#470—111no—
985#470—111no—
986#470C2×D1111yescharacteristic, complemented
987#468—111no—
988#468—111no—
989#468—111no—
990#468—111no—
991#467—111no—
992#467—111no—
993#467—111no—
994#467—111no—
995#465—111no—
996#465—111no—
997#465—111no—
998#465C2×D1111yescharacteristic, complemented
999#463—111no—
1000#463—111no—
1001#463—111no—
1002#463C2×D1111yescharacteristic, complemented
1003#462—111no—
1004#462—111no—
1005#462—111no—
1006#462—111no—
1007#461—111no—
1008#461—111no—
1009#461—111no—
1010#461C2×D1111yescharacteristic, complemented
1011#452—111no—
1012#452—111no—
1013#452—111no—
1014#452—111no—
1015#452—111no—
1016#452—111no—
1017#452—111no—
1018#452—111no—
1019#452—111no—
1020#452—111no—
1021#452C2×D1111yescharacteristic, complemented
1022#452C2×D1111yescharacteristic, complemented
1023#451—111no—
1024#451—111no—
1025#451—111no—
1026#451—111no—
1027#451—111no—
1028#451—111no—
1029#450—111no—
1030#450—111no—
1031#450—111no—
1032#450C2×D1111yescharacteristic, complemented
1033#449—111no—
1034#449—111no—
1035#449—111no—
1036#449—111no—
1037#449—111no—
1038#449—111no—
1039#449—111no—
1040#449C2×D1111yescharacteristic, complemented
1041#448—111no—
1042#448—111no—
1043#448—111no—
1044#448—111no—
1045#447—111no—
1046#447—111no—
1047#442—111no—
1048#442—111no—
1049#442—111no—
1050#442C2×D1111yescharacteristic, complemented
1051#440—111no—
1052#440—111no—
1053#440—111no—
1054#440—111no—
1055#435—111no—
1056#435—111no—
1057#435—111no—
1058#435—111no—
1059#435—111no—
1060#435—111no—
1061#435—111no—
1062#435C2×D1111yescharacteristic, complemented
1063#432—111no—
1064#432—111no—
1065#417—111no—
1066#417—111no—
1067#417—111no—
1068#417—111no—
1069#416—111no—
1070#416—111no—
1071#416—111no—
1072#416—111no—
1073#407—111no—
1074#407—111no—
1075C2×C22⋊C8—111no—
1076C2×C22⋊C8—111no—
1077C22×C11—21no—
1078C22×C11—21no—
1079C22×C11—21no—
1080C22×C11—21no—
1081C22×C11—22no—
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—41no—
1085C22×C11—41no—
1086C22×C11—41no—
1087C22×C11—41no—
1088C22×C11—41no—
1089C22×C11—41no—
1090C22×C11—41no—
1091C22×C11—41no—
1092C22×C11—162no—
1093C22×C11C23×D411yescharacteristic
1094C2×D11—21no—
1095C2×D11—21no—
1096C2×D11—21no—
1097C2×D11—21no—
1098C2×D11—22no—
1099C2×D11—21no—
1100C2×D11—21no—
1101C2×D11—21no—
1102C2×D11—21no—
1103C2×D11—48no—
1104C2×D11—41no—
1105C2×D11—41no—
1106C2×D11—82no—
1107C2×D11—82no—
1108C2×D11#57512yes—
1109C4×C11—21no—
1110C4×C11—21no—
1111C4×C11—21no—
1112C4×C11—21no—
1113C4×C11—41no—
1114C4×C11—41no—
1115C4×C11—41no—
1116C4×C11—41no—
1117C4×C11—41no—
1118C4×C11C2×H(5,𝔽2)11yescharacteristic
1119C4×C11C2×H(5,𝔽2)11yescharacteristic
1120Dic11—21no—
1121Dic11—21no—
1122Dic11—21no—
1123Dic11—21no—
1124Dic11—21no—
1125Dic11—41no—
1126Dic11—41no—
1127Dic11—41no—
1128Dic11—41no—
1129Dic11—41no—
1130Dic11—41no—
1131Dic11—41no—
1132C2×#41—111no—
1133C2×#41—111no—
1134C2×#41—111no—
1135C2×#41—111no—
1136C2×#41—111no—
1137C2×#41—111no—
1138C2×#41—111no—
1139C2×#41—221no—
1140C2×#41—221no—
1141C2×#41—221no—
1142C2×#41—221no—
1143C2×#41—442no—
1144C2×#41—442no—
1145C2×#41—442no—
1146C2×#41—442no—
1147C2×#41C22×D1111yescharacteristic
1148C2×#41C22×D1111yescharacteristic
1149C2×#41C22×D1111yescharacteristic
1150C22×Q8—111no—
1151C22×Q8—111no—
1152C22×Q8—111no—
1153C22×D4—111no—
1154C22×D4—111no—
1155C22×D4—221no—
1156C22×D4—221no—
1157C22×D4—221no—
1158C22×D4C22×D1111yescharacteristic
1159C23×C4—111no—
1160C23×C4—111no—
1161C23×C4—221no—
1162C23×C4—221no—
1163C23×C4—221no—
1164#137—442no—
1165#137—442no—
1166AGL(1,ℤ/8)—42no—
1167AGL(1,ℤ/8)—442no—
1168#135—42no—
1169#135—442no—
1170#135—442no—
1171#135—442no—
1172C2×Q16—111no—
1173C2×Q16—111no—
1174C2×Q16—111no—
1175C2×Q16—111no—
1176C2×Q16—111no—
1177C2×Q16—111no—
1178C2×Q16C22×D1111yescharacteristic
1179C2×Q16C22×D1111yescharacteristic
1180C2×SD16—111no—
1181C2×SD16—111no—
1182C2×SD16—111no—
1183C2×SD16—111no—
1184C2×SD16—111no—
1185C2×SD16—111no—
1186C2×SD16—111no—
1187C2×SD16C22×D1111yescharacteristic
1188C2×SD16C22×D1111yescharacteristic
1189C2×SD16C22×D1111yescharacteristic
1190C2×SD16C22×D1111yescharacteristic
1191C2×SD16C22×D1111yescharacteristic
1192C2×D8—111no—
1193C2×D8—111no—
1194C2×D8C22×D1111yescharacteristic
1195C2×D8C22×D1111yescharacteristic
1196C2×M16—111no—
1197C2×M16—111no—
1198C2×M16—111no—
1199C2×M16C22×D1111yescharacteristic
1200C22×C8—111no—
1201C22×C8—111no—
1202C22×C8—111no—
1203C22×C8C22×D1111yescharacteristic
1204C4⋊Q8—111no—
1205C4⋊Q8—111no—
1206C4⋊Q8—111no—
1207C4⋊Q8—221no—
1208C4⋊Q8—221no—
1209C4⋊Q8C22×D1111yescharacteristic
1210#126—221no—
1211#126—221no—
1212#126—221no—
1213#126—221no—
1214#126—221no—
1215#126—221no—
1216#125—111no—
1217#125—111no—
1218#125—221no—
1219#125—221no—
1220#124—111no—
1221#124—221no—
1222#124—221no—
1223#124C22×D1111yescharacteristic
1224#123—21no—
1225#123—21no—
1226#123—21no—
1227#123—221no—
1228#123—221no—
1229#123—221no—
1230#123—221no—
1231#123—221no—
1232#123—221no—
1233#123—221no—
1234#123—221no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
1238#123—221no—
1239#123—221no—
1240#123—221no—
1241#123—221no—
1242#123—221no—
1243#123—221no—
1244#123—221no—
1245#123—221no—
1246#123—221no—
1247#123—221no—
1248#123—221no—
1249#123—221no—
1250C22⋊Q8—111no—
1251C22⋊Q8—111no—
1252C22⋊Q8—111no—
1253C22⋊Q8—111no—
1254C22⋊Q8—111no—
1255C22⋊Q8—111no—
1256C22⋊Q8—111no—
1257C22⋊Q8—111no—
1258C22⋊Q8—111no—
1259C22⋊Q8—111no—
1260C22⋊Q8—111no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8—221no—
1269C22⋊Q8C22×D1111yescharacteristic
1270C22⋊Q8C22×D1111yescharacteristic
1271C22⋊Q8C22×D1111yescharacteristic
1272#121—21no—
1273#121—21no—
1274#121—111no—
1275#121—111no—
1276#121—111no—
1277#121—111no—
1278#121—111no—
1279#121—221no—
1280#121—221no—
1281#121—221no—
1282#121—221no—
1283#121—221no—
1284#121—221no—
1285#121—221no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121—221no—
1293#121C22×D1111yescharacteristic
1294#120—21no—
1295#120—221no—
1296#120—221no—
1297#120—221no—
1298C4×Q8—111no—
1299C4×Q8—111no—
1300C4×D4—111no—
1301C4×D4—111no—
1302C4×D4—111no—
1303C4×D4—111no—
1304C4×D4—111no—
1305C4×D4—111no—
1306C4×D4—111no—
1307C4×D4—111no—
1308C4×D4—111no—
1309C4×D4—111no—
1310C4×D4—111no—
1311C4×D4—221no—
1312C4×D4—221no—
1313C4×D4—221no—
1314C4×D4—221no—
1315C4×D4—221no—
1316C4×D4—221no—
1317C4×D4—221no—
1318C4×D4—221no—
1319C4×D4—221no—
1320C4×D4—221no—
1321C4×D4—221no—
1322C4×D4—221no—
1323C4×D4C22×D1111yescharacteristic
1324C4×D4C22×D1111yescharacteristic
1325C4×D4C22×D1111yescharacteristic
1326#117—111no—
1327#117—111no—
1328#117—221no—
1329#117—221no—
1330#117—221no—
1331#117—221no—
1332C2×C4⋊C4—21no—
1333C2×C4⋊C4—111no—
1334C2×C4⋊C4—111no—
1335C2×C4⋊C4—111no—
1336C2×C4⋊C4—111no—
1337C2×C4⋊C4—221no—
1338C2×C4⋊C4—221no—
1339C2×C4⋊C4—221no—
1340C2×C4⋊C4—221no—
1341C2×C4⋊C4—221no—
1342C2×C4⋊C4—221no—
1343C2×C4⋊C4—221no—
1344C2×C4⋊C4—221no—
1345C2×C4⋊C4—221no—
1346C2×C4⋊C4—221no—
1347C2×C4⋊C4—221no—
1348C2×C4⋊C4—221no—
1349C2×C22⋊C4—21no—
1350C2×C22⋊C4—111no—
1351C2×C22⋊C4—111no—
1352C2×C22⋊C4—221no—
1353C2×C22⋊C4—221no—
1354C2×C22⋊C4—221no—
1355C2×C22⋊C4—221no—
1356C2×C22⋊C4—221no—
1357C2×C22⋊C4—221no—
1358C2×C42—111no—
1359#107—111no—
1360#107—111no—
1361#107—111no—
1362#107—111no—
1363#106—111no—
1364#106—111no—
1365#106—111no—
1366#106C22×D1111yescharacteristic
1367C4⋊C8—111no—
1368C4⋊C8—111no—
1369C4⋊C8—111no—
1370C4⋊C8C22×D1111yescharacteristic
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103—111no—
1377#103—111no—
1378#103—111no—
1379#103—111no—
1380#103—111no—
1381#103—111no—
1382#103—111no—
1383#103—111no—
1384#103—111no—
1385#103—111no—
1386#103—111no—
1387#103—111no—
1388#103C22×D1111yescharacteristic
1389#103C22×D1111yescharacteristic
1390#103C22×D1111yescharacteristic
1391#102—111no—
1392#102—111no—
1393#102—111no—
1394#102—111no—
1395#102—111no—
1396#102—111no—
1397#102—111no—
1398#102—111no—
1399#102—111no—
1400#102C22×D1111yescharacteristic
1401#102C22×D1111yescharacteristic
1402#102C22×D1111yescharacteristic
1403C22⋊C8—111no—
1404C22⋊C8—111no—
1405C22⋊C8—111no—
1406C22⋊C8—111no—
1407C22⋊C8—111no—
1408C22⋊C8—111no—
1409C22⋊C8—111no—
1410C22⋊C8—111no—
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8C22×D1111yescharacteristic
1414C22⋊C8C22×D1111yescharacteristic
1415#97—111no—
1416#97—111no—
1417#97—111no—
1418#97C22×D1111yescharacteristic
1419C2×C11—42no—
1420C2×C11—41no—
1421C2×C11—41no—
1422C2×C11—81no—
1423C2×C11—81no—
1424C2×C11#348411yescharacteristic
1425C2×C11C2×#57511yescharacteristic
1426C2×C11#358611yescharacteristic
1427D11—22no—
1428D11—41no—
1429D11—41no—
1430D11—42no—
1431C24—21no—
1432C24—111no—
1433C24—111no—
1434C24—221no—
1435#41—22no—
1436#41—22no—
1437#41—41no—
1438#41—41no—
1439#41—41no—
1440#41—41no—
1441#41—222no—
1442#41—222no—
1443#41—222no—
1444#41—222no—
1445#41—222no—
1446#41—222no—
1447#41—441no—
1448#41—441no—
1449#41—444no—
1450#41—444no—
1451#41—441no—
1452#41—441no—
1453#41—441no—
1454#41—441no—
1455#41—441no—
1456#41—441no—
1457#41—444no—
1458#41—444no—
1459C2×Q8—111no—
1460C2×Q8—111no—
1461C2×Q8—111no—
1462C2×Q8—221no—
1463C2×Q8—221no—
1464C2×Q8—221no—
1465C2×Q8—441no—
1466C2×Q8—441no—
1467C2×Q8—441no—
1468C2×Q8—441no—
1469C2×Q8—441no—
1470C2×Q8—441no—
1471C2×Q8C23×D1111yescharacteristic
1472C2×Q8C23×D1111yescharacteristic
1473C2×Q8C23×D1111yescharacteristic
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—41no—
1480C2×D4—41no—
1481C2×D4—111no—
1482C2×D4—111no—
1483C2×D4—111no—
1484C2×D4—111no—
1485C2×D4—221no—
1486C2×D4—221no—
1487C2×D4—221no—
1488C2×D4—222no—
1489C2×D4—222no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—221no—
1493C2×D4—221no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—442no—
1501C2×D4—444no—
1502C2×D4—444no—
1503C2×D4—444no—
1504C2×D4D4×D1111yescharacteristic
1505C2×D4C23×D1111yescharacteristic
1506C2×D4C23×D1111yescharacteristic
1507C2×D4C23×D1111yescharacteristic
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—111no—
1514C22×C4—111no—
1515C22×C4—111no—
1516C22×C4—111no—
1517C22×C4—111no—
1518C22×C4—111no—
1519C22×C4—111no—
1520C22×C4—111no—
1521C22×C4—111no—
1522C22×C4—111no—
1523C22×C4—111no—
1524C22×C4—221no—
1525C22×C4—221no—
1526C22×C4—221no—
1527C22×C4—221no—
1528C22×C4—221no—
1529C22×C4—221no—
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—441no—
1542C22×C4—441no—
1543C22×C4—441no—
1544C22×C4—441no—
1545C22×C4—444no—
1546C22×C4—444no—
1547C22×C4—444no—
1548C22×C4C23×D1111yescharacteristic
1549C22×C4C23×D1111yescharacteristic
1550Q16—41no—
1551Q16—41no—
1552Q16—441no—
1553Q16—441no—
1554Q16—441no—
1555Q16—441no—
1556Q16—441no—
1557Q16—441no—
1558SD16—22no—
1559SD16—41no—
1560SD16—41no—
1561SD16—41no—
1562SD16—41no—
1563SD16—222no—
1564SD16—222no—
1565SD16—222no—
1566SD16—441no—
1567SD16—441no—
1568SD16—441no—
1569SD16—441no—
1570D8—22no—
1571D8—22no—
1572D8—222no—
1573D8—222no—
1574M16—41no—
1575M16—441no—
1576M16—441no—
1577M16—441no—
1578C2×C8—41no—
1579C2×C8—111no—
1580C2×C8—111no—
1581C2×C8—111no—
1582C2×C8—111no—
1583C2×C8—441no—
1584C2×C8—441no—
1585C2×C8—441no—
1586C2×C8C23×D1111yescharacteristic
1587C2×C8C23×D1111yescharacteristic
1588C2×C8C23×D1111yescharacteristic
1589C2×C8C23×D1111yescharacteristic
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—111no—
1596C4⋊C4—111no—
1597C4⋊C4—111no—
1598C4⋊C4—111no—
1599C4⋊C4—111no—
1600C4⋊C4—111no—
1601C4⋊C4—111no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4—221no—
1608C4⋊C4—221no—
1609C4⋊C4—221no—
1610C4⋊C4—221no—
1611C4⋊C4—221no—
1612C4⋊C4—221no—
1613C4⋊C4—221no—
1614C4⋊C4—221no—
1615C4⋊C4—221no—
1616C4⋊C4—221no—
1617C4⋊C4—221no—
1618C4⋊C4—221no—
1619C4⋊C4—221no—
1620C4⋊C4—221no—
1621C4⋊C4—221no—
1622C4⋊C4—221no—
1623C4⋊C4—221no—
1624C4⋊C4—221no—
1625C4⋊C4—221no—
1626C4⋊C4—221no—
1627C4⋊C4—221no—
1628C4⋊C4D4×D1111yescharacteristic
1629C4⋊C4C23×D1111yescharacteristic
1630C4⋊C4C23×D1111yescharacteristic
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—111no—
1640C22⋊C4—111no—
1641C22⋊C4—111no—
1642C22⋊C4—111no—
1643C22⋊C4—111no—
1644C22⋊C4—111no—
1645C22⋊C4—221no—
1646C22⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4—221no—
1666C22⋊C4—221no—
1667C22⋊C4—221no—
1668C22⋊C4—221no—
1669C22⋊C4D4×D1111yescharacteristic
1670C22⋊C4D4×D1111yescharacteristic
1671C42—111no—
1672C42—111no—
1673C42—111no—
1674C42—221no—
1675C42—221no—
1676C42—221no—
1677C42—221no—
1678C42C23×D1111yescharacteristic
1679C11#6157511yescharacteristic, complemented, Sylow
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—42no—
1684C23—81no—
1685C23—81no—
1686C23—111no—
1687C23—111no—
1688C23—111no—
1689C23—222no—
1690C23—222no—
1691C23—224no—
1692C23—221no—
1693C23—441no—
1694C23—441no—
1695C23—441no—
1696C23—441no—
1697C23—442no—
1698C23—442no—
1699C23C2×D4×D1111yescharacteristic
1700C23C2×D4×D1111yescharacteristic
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—221no—
1708Q8—221no—
1709Q8—221no—
1710Q8—221no—
1711Q8—221no—
1712Q8—221no—
1713Q8—442no—
1714Q8—442no—
1715Q8—881no—
1716D4—21no—
1717D4—21no—
1718D4—21no—
1719D4—21no—
1720D4—21no—
1721D4—41no—
1722D4—42no—
1723D4—42no—
1724D4—81no—
1725D4—81no—
1726D4—81no—
1727D4—112no—
1728D4—224no—
1729D4—221no—
1730D4—441no—
1731D4—442no—
1732D4—442no—
1733D4—441no—
1734D4—441no—
1735D4—442no—
1736D4—442no—
1737D4—442no—
1738D4—442no—
1739D4—442no—
1740D4—442no—
1741D4—442no—
1742D4—442no—
1743D4—881no—
1744D4—881no—
1745D4#6703712yes—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—42no—
1756C2×C4—42no—
1757C2×C4—42no—
1758C2×C4—81no—
1759C2×C4—81no—
1760C2×C4—111no—
1761C2×C4—111no—
1762C2×C4—111no—
1763C2×C4—111no—
1764C2×C4—111no—
1765C2×C4—222no—
1766C2×C4—221no—
1767C2×C4—221no—
1768C2×C4—221no—
1769C2×C4—221no—
1770C2×C4—221no—
1771C2×C4—221no—
1772C2×C4—221no—
1773C2×C4—221no—
1774C2×C4—221no—
1775C2×C4—221no—
1776C2×C4—221no—
1777C2×C4—221no—
1778C2×C4—221no—
1779C2×C4—441no—
1780C2×C4—441no—
1781C2×C4—441no—
1782C2×C4—441no—
1783C2×C4—441no—
1784C2×C4—442no—
1785C2×C4—442no—
1786C2×C4—442no—
1787C2×C4—442no—
1788C2×C4—442no—
1789C2×C4—442no—
1790C2×C4—442no—
1791C2×C4—442no—
1792C2×C4—442no—
1793C2×C4—441no—
1794C2×C4—441no—
1795C2×C4—442no—
1796C2×C4—442no—
1797C2×C4—442no—
1798C2×C4—442no—
1799C2×C4—881no—
1800C2×C4—881no—
1801C2×C4—881no—
1802C2×C4—881no—
1803C2×C4C2×D4×D1111yescharacteristic
1804C2×C4C2×D4×D1111yescharacteristic
1805C2×C4C2×D4×D1111yescharacteristic
1806C2×C4C2×D4×D1111yescharacteristic
1807C2×C4C24×D1111yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—221no—
1813C8—221no—
1814C8—221no—
1815C8—221no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—22no—
1821C22—21no—
1822C22—21no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—112no—
1832C22—162no—
1833C22—221no—
1834C22—221no—
1835C22—221no—
1836C22—221no—
1837C22—221no—
1838C22—221no—
1839C22—222no—
1840C22—221no—
1841C22—221no—
1842C22—448no—
1843C22—441no—
1844C22—441no—
1845C22—882no—
1846C22—882no—
1847C22C22×D4×D1111yescharacteristic
1848C4—21no—
1849C4—21no—
1850C4—21no—
1851C4—21no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—221no—
1858C4—221no—
1859C4—221no—
1860C4—221no—
1861C4—221no—
1862C4—441no—
1863C4—441no—
1864C4—441no—
1865C4—441no—
1866C4—441no—
1867C4—441no—
1868C4—441no—
1869C4C2×#6703711yescharacteristic
1870C4D11×H(5,𝔽2)11yescharacteristic
1871C2—41no—
1872C2—41no—
1873C2—42no—
1874C2—81no—
1875C2—81no—
1876C2—222no—
1877C2—441no—
1878C2—441no—
1879C2—442no—
1880C2#1308224411yescharacteristic
1881C2D11×#57511yescharacteristic
1882C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3267C2
socleC22×C11C23×D4
hypercenter#3267D11
hypocenterC11#61575
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. #13082443C2semidirect
2. D11×#547C2semidirect
3. #13080714C2semidirect
4. #13080712C2semidirect
5. #13080707C2semidirect
6. #13080705C2semidirect
7. #13080599C2semidirect
8. #13080598C2semidirect
9. #13080597C2semidirect
10. #13080596C2semidirect
11. #13080177C2semidirect
12. #13080171C2semidirect
13. #13080170C2semidirect
14. #13080164C2semidirect
15. #13080139C2semidirect
16. #13080137C2semidirect
17. #13080135C2semidirect
18. #13079642C2semidirect
19. #13079639C2semidirect
20. #13079436C2semidirect
21. #13079419C2semidirect
22. #13079395C2semidirect
23. #13079392C2semidirect
24. #13078753C2semidirect
25. #13078752C2semidirect
26. #13077873C2semidirect
27. #13077864C2semidirect
28. #13077831C2semidirect
29. #13077830C2semidirect
30. #13077641C2semidirect
31. C11×#3267C2semidirect
33. C2×#41×D11C22semidirect
34. C2×C11×AGL(1,ℤ/8)C22semidirect
35. C2×C11×#135C22semidirect
37. C11×#546C22semidirect
38. #10623362C22semidirect
41. #10623355C22semidirect
42. C2×#67003C22semidirect
43. #10623337C22semidirect
45. C2×#66985C22semidirect
46. C2×#66971C22semidirect
47. C2×#66969C22semidirect
48. C2×#66968C22semidirect
49. C2×#66965C22semidirect
50. #10623257C22semidirect
51. D11×C4⋊Q8C22semidirect
53. #10623208C22semidirect
60. #10623173C22semidirect
62. #10623162C22semidirect
65. D11×C22⋊Q8C22semidirect
67. #10623145C22semidirect
74. #10623089C22semidirect
76. #10623086C22semidirect
79. C4×D4×D11C22semidirect
80. #10623072C22semidirect
85. C11×#497C22semidirect
86. C11×#470C22semidirect
87. C11×#465C22semidirect
88. C11×#463C22semidirect
89. C11×#461C22semidirect
90. C11×#452C22semidirect
91. C11×#452C22semidirect
92. C11×#450C22semidirect
93. C11×#449C22semidirect
94. C11×#442C22semidirect
95. C11×#435C22semidirect
96. #10622852C22semidirect
97. #10622852C22semidirect
98. #10622852C22semidirect
99. #10622846C22semidirect
100. #10622845C22semidirect
101. #10622831C22semidirect
102. #10622801C22semidirect
103. #10622800C22semidirect
104. #10622799C22semidirect
105. #10622799C22semidirect
106. #10622799C22semidirect
107. #10622795C22semidirect
108. #10622795C22semidirect
109. #10622787C22semidirect
110. #10622787C22semidirect
111. #10622786C22semidirect
112. #10622786C22semidirect
113. #10622785C22semidirect
114. #10622785C22semidirect
115. #10622785C22semidirect
116. #10622784C22semidirect
121. #10622782C22semidirect
122. #10622780C22semidirect
123. #10622780C22semidirect
124. #10622777C22semidirect
125. #10622775C22semidirect
126. #10622775C22semidirect
127. #10622771C22semidirect
128. #10622771C22semidirect
129. #10622771C22semidirect
132. #10622766C22semidirect
133. #10622765C22semidirect
134. #10622750C22semidirect
135. #10622746C22semidirect
136. #10622740C22semidirect
138. #10622729C22semidirect
139. #10622726C22semidirect
140. #10622724C22semidirect
141. C2×(C2×D11)⋊C8C22semidirect
142. #10622703C22semidirect
143. #10622695C22semidirect
144. #10622673C22semidirect
145. #10622670C22semidirect
146. #10622665C22semidirect
147. #10622665C22semidirect
148. #10622664C22semidirect
149. #10622660C22semidirect
150. #10622658C22semidirect
151. #10622657C22semidirect
152. #10622654C22semidirect
153. #10622650C22semidirect
154. #10622632C22semidirect
155. #10622631C22semidirect
156. #10622627C22semidirect
157. #10622624C22semidirect
158. #10622622C22semidirect
159. #10622484C22semidirect
160. #10622480C22semidirect
161. #10622475C22semidirect
162. #10622475C22semidirect
163. #10622462C22semidirect
164. #10622460C22semidirect
165. #10622449C22semidirect
166. #10622448C22semidirect
167. #10622430C22semidirect
168. #10622427C22semidirect
169. #10622426C22semidirect
170. #10622421C22semidirect
171. #10622421C22semidirect
172. #10622421C22semidirect
173. #10622418C22semidirect
174. #10622418C22semidirect
175. #10622417C22semidirect
176. #10622416C22semidirect
177. #10622410C22semidirect
178. #10622410C22semidirect
179. #10622400C22semidirect
180. #10622398C22semidirect
181. #10622396C22semidirect
182. #10622393C22semidirect
183. #10622393C22semidirect
184. #10622391C22semidirect
185. #10622389C22semidirect
188. #10622385C22semidirect
189. #10622384C22semidirect
190. #10622379C22semidirect
191. #10622346C22semidirect
192. #10622346C22semidirect
193. #10622343C22semidirect
194. #10622341C22semidirect
196. D11×C22⋊C8C22semidirect
197. #10622336C22semidirect
198. #10622335C22semidirect
199. #10622323C22semidirect
200. #10622319C22semidirect
201. #10622318C22semidirect
202. #10622316C22semidirect
756. #3267D11semidirect
911. C2×AGL(1,ℤ/8)C2×D11semidirect
915. C2×#135C2×D11semidirect
939. #546C2×D11semidirect
962. #497C2×D11semidirect
986. #470C2×D11semidirect
998. #465C2×D11semidirect
1002. #463C2×D11semidirect
1010. #461C2×D11semidirect
1021. #452C2×D11semidirect
1022. #452C2×D11semidirect
1032. #450C2×D11semidirect
1040. #449C2×D11semidirect
1050. #442C2×D11semidirect
1062. #435C2×D11semidirect
1679. C11#61575semidirect

Maximal subgroups

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

subgroupindex
#130824432
D11×#5472
#130807142
#130807122
#130807072
#130807052
#130805992
#130805982
#130805972
#130805962
#130801772
#130801712
#130801702
#130801642
#130801392
#130801372
#130801352
#130796422
#130796392
#130794362
#130794192
#130793952
#130793922
#130787532
#130787522
#130778732
#130778642
#130778312
#130778302
#130776412
C11×#32672
#6157511