Finite Group Databasebeta

← #15624722

Subgroups — #15624722

Order 2816.

2182 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082294C211yesmaximal, characteristic, complemented
2D11×#537C211yesmaximal, characteristic, complemented
3#13079528C211yesmaximal, characteristic, complemented
4#13079526C211yesmaximal, characteristic, complemented
5#13079524C211yesmaximal, characteristic, complemented
6#13079522C211yesmaximal, characteristic, complemented
7#13079503C211yesmaximal, characteristic, complemented
8#13079498C211yesmaximal, characteristic, complemented
9#13079495C211yesmaximal, characteristic, complemented
10#13079438C211yesmaximal, characteristic, complemented
11#13079436C211yesmaximal, characteristic, complemented
12#13079434C211yesmaximal, characteristic, complemented
13#13079431C211yesmaximal, characteristic, complemented
14#13079401C211yesmaximal, characteristic, complemented
15#13079398C211yesmaximal, characteristic, complemented
16#13079371C211yesmaximal, characteristic, complemented
17#13079368C211yesmaximal, characteristic, complemented
18#13078608C211yesmaximal, characteristic, complemented
19#13078602C211yesmaximal, characteristic, complemented
20#13078543C211yesmaximal, characteristic, complemented
21D11×#483C211yesmaximal, characteristic, complemented
22#13078306C211yesmaximal, characteristic, complemented
23#13078302C211yesmaximal, characteristic, complemented
24#13078280C211yesmaximal, characteristic, complemented
25#13078273C211yesmaximal, characteristic, complemented
26#13077932C211yesmaximal, characteristic, complemented
27#13077926C211yesmaximal, characteristic, complemented
28#13077873C211yesmaximal, characteristic, complemented
29#13077837C211yesmaximal, characteristic, complemented
30#13077064C211yesmaximal, characteristic, complemented
31C11×#3201C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic
34C2×#67040C2211yescharacteristic, complemented
35C11×#537C2211yescharacteristic
36C11×#536C2211yescharacteristic, complemented
37#10623364C2211yescharacteristic
38#10623364C2211yescharacteristic
39#10623364C2211yescharacteristic, complemented
40C2×#66999C2211yescharacteristic
41C2×#66972C2211yescharacteristic, complemented
42C2×#66971C2211yescharacteristic, complemented
43C2×#66969C2211yescharacteristic, complemented
44C2×#66968C2211yescharacteristic, complemented
45C2×#66960C2211yescharacteristic, complemented
46C2×#66954C2211yescharacteristic, complemented
47#10623258—21no—
48#10623257—21no—
49#10623208—21no—
50#10623207—21no—
51#10623186—21no—
52#10623186—21no—
53#10623185—21no—
54#10623185—21no—
55#10623160—21no—
56#10623160C2211yescharacteristic
57#10623160C2211yescharacteristic
58#10623160C2211yescharacteristic, complemented
59#10623160C2211yescharacteristic, complemented
60#10623159C2211yescharacteristic, complemented
61#10623159C2211yescharacteristic, complemented
62#10623158C2211yescharacteristic
63#10623158C2211yescharacteristic
64D11×C22⋊Q8—21no—
65D11×C22⋊Q8C2211yescharacteristic
66D11×C22⋊Q8C2211yescharacteristic
67D11×C22⋊Q8C2211yescharacteristic
68D11×C22⋊Q8C2211yescharacteristic
69#10623139—21no—
70#10623139C2211yescharacteristic
71#10623139C2211yescharacteristic
72D11×#121—21no—
73D11×#121—21no—
74D11×#121—21no—
75D11×#121C2211yescharacteristic
76D11×#121C2211yescharacteristic
77#10623128—21no—
78#10623128—21no—
79#10623055C2211yescharacteristic
80#10623054C2211yescharacteristic, complemented
81#10623041C2211yescharacteristic
82C2×C4⋊C4×D11C2211yescharacteristic
83C11×#485C2211yescharacteristic, complemented
84C11×#484C2211yescharacteristic, complemented
85C11×#483C2211yescharacteristic, complemented
86C11×#482C2211yescharacteristic, complemented
87C11×#470C2211yescharacteristic, complemented
88C11×#468C2211yescharacteristic, complemented
89C11×#467C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#452C2211yescharacteristic, complemented
92C11×#452C2211yescharacteristic, complemented
93C11×#451C2211yescharacteristic, complemented
94C11×#448C2211yescharacteristic, complemented
95C11×#408C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic, complemented
97#10622851C2211yescharacteristic, complemented
98#10622847C2211yescharacteristic, complemented
99#10622841C2211yescharacteristic, complemented
100#10622840C2211yescharacteristic, complemented
101#10622802C2211yescharacteristic, complemented
102#10622802C2211yescharacteristic, complemented
103#10622800C2211yescharacteristic, complemented
104#10622799C2211yescharacteristic
105#10622799C2211yescharacteristic
106#10622799C2211yescharacteristic, complemented
107#10622785C2211yescharacteristic, complemented
108#10622784C2211yescharacteristic, complemented
109#10622784C2211yescharacteristic, complemented
110#10622783C2211yescharacteristic, complemented
111#10622782C2211yescharacteristic
112#10622782C2211yescharacteristic
113#10622750C2211yescharacteristic, complemented
114#10622748C2211yescharacteristic, complemented
115#10622739C2211yescharacteristic
116#10622727C2211yescharacteristic, complemented
117#10622727C2211yescharacteristic, complemented
118C2×(C2×D11)⋊C8C2211yescharacteristic
119#10622665C2211yescharacteristic, complemented
120#10622665C2211yescharacteristic, complemented
121#10622664C2211yescharacteristic, complemented
122#10622662C2211yescharacteristic, complemented
123#10622661C2211yescharacteristic, complemented
124#10622661C2211yescharacteristic, complemented
125#10622660C2211yescharacteristic, complemented
126#10622660C2211yescharacteristic, complemented
127#10622660C2211yescharacteristic, complemented
128#10622657C2211yescharacteristic, complemented
129#10622656C2211yescharacteristic, complemented
130#10622656C2211yescharacteristic, complemented
131#10622654C2211yescharacteristic, complemented
132#10622652C2211yescharacteristic, complemented
133#10622650C2211yescharacteristic, complemented
134#10622647C2211yescharacteristic, complemented
135#10622616C2211yescharacteristic, complemented
136#10622609C2211yescharacteristic, complemented
137#10622584C2211yescharacteristic, complemented
138#10622581C2211yescharacteristic, complemented
139#10622501C2211yescharacteristic, complemented
140#10622500C2211yescharacteristic, complemented
141#10622499C2211yescharacteristic, complemented
142#10622498C2211yescharacteristic, complemented
143#10622495C2211yescharacteristic
144#10622495C2211yescharacteristic
145#10622494C2211yescharacteristic, complemented
146#10622494C2211yescharacteristic, complemented
147#10622478C2211yescharacteristic, complemented
148#10622477C2211yescharacteristic, complemented
149#10622476C2211yescharacteristic, complemented
150#10622475C2211yescharacteristic
151#10622475C2211yescharacteristic
152#10622475C2211yescharacteristic, complemented
153D11×#106C2211yescharacteristic, complemented
154D11×#106C2211yescharacteristic, complemented
155#10622429C2211yescharacteristic, complemented
156#10622429C2211yescharacteristic, complemented
157#10622428C2211yescharacteristic, complemented
158#10622426C2211yescharacteristic, complemented
159#10622424C2211yescharacteristic, complemented
160#10622423C2211yescharacteristic, complemented
161#10622421C2211yescharacteristic
162#10622421C2211yescharacteristic, complemented
163#10622420C2211yescharacteristic, complemented
164#10622420C2211yescharacteristic, complemented
165#10622420C2211yescharacteristic, complemented
166#10622419C2211yescharacteristic
167#10622419C2211yescharacteristic, complemented
168#10622418C2211yescharacteristic
169#10622418C2211yescharacteristic
170#10622418C2211yescharacteristic
171#10622418C2211yescharacteristic
172#10622418C2211yescharacteristic, complemented
173#10622417C2211yescharacteristic, complemented
174#10622416C2211yescharacteristic, complemented
175#10622416C2211yescharacteristic, complemented
176#10622416C2211yescharacteristic, complemented
177D11×#103C2211yescharacteristic, complemented
178D11×#103C2211yescharacteristic, complemented
179#10622395C2211yescharacteristic, complemented
180#10622393C2211yescharacteristic, complemented
181#10622392C2211yescharacteristic, complemented
182#10622390C2211yescharacteristic, complemented
183#10622389C2211yescharacteristic
184#10622386C2211yescharacteristic
185#10622385C2211yescharacteristic, complemented
186#10622384C2211yescharacteristic, complemented
187#10622348C2211yescharacteristic, complemented
188#10622348C2211yescharacteristic, complemented
189#10622347C2211yescharacteristic, complemented
190#10622347C2211yescharacteristic, complemented
191#10622346C2211yescharacteristic, complemented
192#10622346C2211yescharacteristic, complemented
193#10622340C2211yescharacteristic, complemented
194#10622340C2211yescharacteristic, complemented
195#10622340C2211yescharacteristic, complemented
196#10622340C2211yescharacteristic, complemented
197#10622339C2211yescharacteristic
198#10622339C2211yescharacteristic
199D11×C22⋊C8C2211yescharacteristic
200D11×C22⋊C8C2211yescharacteristic
201#10622334C2211yescharacteristic, complemented
202#10622334C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C22×Q8×C11C2311yescharacteristic
206#41×D11—42no—
207#41×D11—42no—
208#41×D11—42no—
209#41×D11—42no—
210#67040—42no—
211#67040—42no—
212C2×#4343—21no—
213C2×#4343D411yescharacteristic
214C2×#4343C2311yescharacteristic
215C2×#4343C2311yescharacteristic
216C2×#4343C2311yescharacteristic
217C2×Q8×D11—21no—
218C2×Q8×D11D411yescharacteristic
219C2×Q8×D11C2311yescharacteristic
220C2×Q8×D11C2311yescharacteristic
221C2×Q8×D11C2311yescharacteristic
222C2×#4341—21no—
223C2×#4341D411yescharacteristic
224C2×#4341D411yescharacteristic
225C2×#4341D411yescharacteristic
226C2×#4341C2311yescharacteristic
227C2×D4×D11—21no—
228C2×D4×D11—21no—
229C2×D4×D11—21no—
230C2×D4×D11D411yescharacteristic
231C2×D4×D11D411yescharacteristic
232C2×D4×D11D411yescharacteristic
233C2×D4×D11C2311yescharacteristic
234C2×#4339—21no—
235C2×#4339—21no—
236C2×#4339—21no—
237C2×#4339C2311yescharacteristic
238C2×#4339C2311yescharacteristic
239C2×#4339C2311yescharacteristic
240C2×#4339C2311yescharacteristic
241C2×#4339C2311yescharacteristic
242C22×C4×D11—21no—
243C22×C4×D11—21no—
244C22×C4×D11C2311yescharacteristic
245C22×C4×D11C2311yescharacteristic
246C22×C4×D11C2311yescharacteristic
247C2×C11×Q16C2311yescharacteristic
248C2×C11×Q16C2311yescharacteristic
249C2×C11×SD16C2311yescharacteristic
250C2×C11×SD16C2311yescharacteristic
251C2×C11×M16C2311yescharacteristic
252C22×C8×C11C2311yescharacteristic
253C11×C4⋊Q8—21no—
254C11×#124—21no—
255C11×#123—21no—
256C11×#123—21no—
257C11×C22⋊Q8—21no—
258C11×C22⋊Q8C2311yescharacteristic
259C11×C22⋊Q8C2311yescharacteristic
260C11×C22⋊Q8C2311yescharacteristic
261C11×C22⋊Q8C2311yescharacteristic
262C11×C22⋊Q8C2311yescharacteristic
263C11×C22⋊Q8C2311yescharacteristic
264C11×#121—21no—
265C11×#121—21no—
266C11×#121—21no—
267C11×#121C2311yescharacteristic
268C11×#121C2311yescharacteristic
269C11×#117C2311yescharacteristic
270C2×C11×C4⋊C4C2311yescharacteristic
271#66999—21no—
272#66999—21no—
273#66999—21no—
274#66999—21no—
275#66999C2311yescharacteristic
276#66999C2311yescharacteristic
277#66999C2311yescharacteristic
278#66999C2311yescharacteristic
279#66999C2311yescharacteristic
280#66999C2311yescharacteristic
281C2×#4326C2311yescharacteristic
282C2×#4326C2311yescharacteristic
283C2×#4326C2311yescharacteristic
284C2×#4325C2311yescharacteristic
285C2×#4325C2311yescharacteristic
286C2×#4325C2311yescharacteristic
287#66992—21no—
288#66992—21no—
289#66992—21no—
290#66992—21no—
291#66992—21no—
292#66992—21no—
293#66992—21no—
294#66992—21no—
295#66992—21no—
296#66992—21no—
297#66991—21no—
298#66991—21no—
299#66991—21no—
300#66991—21no—
301#66991C2311yescharacteristic
302#66991C2311yescharacteristic
303C2×#4324C2311yescharacteristic
304C2×#4323C2311yescharacteristic
305#66983—21no—
306#66983—21no—
307#66983—21no—
308#66983C2311yescharacteristic
309#66983C2311yescharacteristic
310#66983C2311yescharacteristic
311#66983C2311yescharacteristic
312C2×(C2×D11)⋊C4—21no—
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315#66977—21no—
316#66977C2311yescharacteristic
317#66977C2311yescharacteristic
318#66977C2311yescharacteristic
319#66977C2311yescharacteristic
320C2×Dic11⋊C4—21no—
321C2×Dic11⋊C4—21no—
322C2×#4318C2311yescharacteristic
323C22×C11⋊C8C2311yescharacteristic
324#66972—42no—
325#66971—42no—
326#66969—42no—
327#66968—42no—
328#66960—42no—
329C2×Dic44C2311yescharacteristic
330C2×D88C2311yescharacteristic
331C2×#4314C2311yescharacteristic
332C2×#4314C2311yescharacteristic
333#66954—42no—
334C2×#4313C2311yescharacteristic
335C2×#4313C2311yescharacteristic
336C2×#4313C2311yescharacteristic
337C2×#4313C2311yescharacteristic
338C2×C8×D11C2311yescharacteristic
339C2×C8×D11C2311yescharacteristic
340C2×C8×D11C2311yescharacteristic
341C2×C8×D11C2311yescharacteristic
342#66950—21no—
343#66950C2311yescharacteristic
344#66950C2311yescharacteristic
345#66950C2311yescharacteristic
346#66950C2311yescharacteristic
347#66949—21no—
348#66949—21no—
349#66949—21no—
350#66949—21no—
351#66949—21no—
352#66949—21no—
353#66949—21no—
354#66949—21no—
355#66948—21no—
356#66948—21no—
357#66948—21no—
358#66948—21no—
359#66948—21no—
360#66948C2311yescharacteristic
361#66948C2311yescharacteristic
362#66948C2311yescharacteristic
363#66948C2311yescharacteristic
364#66947—21no—
365#66947—21no—
366#66947—21no—
367#66947—21no—
368#66946—21no—
369#66946—21no—
370#66945C2311yescharacteristic
371#66945C2311yescharacteristic
372C4⋊C4×D11—21no—
373C4⋊C4×D11—21no—
374C4⋊C4×D11—21no—
375C4⋊C4×D11—21no—
376C4⋊C4×D11—21no—
377C4⋊C4×D11—21no—
378C4⋊C4×D11C2311yescharacteristic
379C4⋊C4×D11C2311yescharacteristic
380C4⋊C4×D11C2311yescharacteristic
381C4⋊C4×D11C2311yescharacteristic
382C4⋊C4×D11C2311yescharacteristic
383C4⋊C4×D11C2311yescharacteristic
384#66941—21no—
385#66941—21no—
386#66939—21no—
387#66938—21no—
388#66938—21no—
389#66937—21no—
390#66937—21no—
391#66937—21no—
392#66937—21no—
393#66937—21no—
394#66937—21no—
395#66937—21no—
396#66937—21no—
397#66937—21no—
398#66937—21no—
399#66937—21no—
400#66937—21no—
401#66936—21no—
402#66936—21no—
403#66935—21no—
404#66935—21no—
405#66935—21no—
406(C22⋊D11)⋊C4—21no—
407(C22⋊D11)⋊C4—21no—
408(C22⋊D11)⋊C4—21no—
409(C22⋊D11)⋊C4—21no—
410C22⋊C4×D11—21no—
411C22⋊C4×D11—21no—
412C22⋊C4×D11—21no—
413C22⋊C4×D11—21no—
414C22⋊C4×D11—21no—
415C22⋊C4×D11—21no—
416#66931—21no—
417#66931—21no—
418#66931—21no—
419#66931—21no—
420#66931—21no—
421#66931—21no—
422C4×D44—21no—
423C4×D44—21no—
424C4×D44—21no—
425C4×Dic22—21no—
426C11×#107C2311yescharacteristic
427C11×#107C2311yescharacteristic
428C11×#106C2311yescharacteristic
429C11×#106C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C11×C22⋊C8C2311yescharacteristic
441C11×C22⋊C8C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66899C2311yescharacteristic
447#66899C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450C22⋊(C11⋊C8)C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454#66885C2311yescharacteristic
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#66881C2311yescharacteristic
467#66881C2311yescharacteristic
468#66881C2311yescharacteristic
469#66881C2311yescharacteristic
470#66880C2311yescharacteristic
471#66880C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66874C2311yescharacteristic
478#66873C2311yescharacteristic
479#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66872C2311yescharacteristic
483#66872C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66872C2311yescharacteristic
487#66872C2311yescharacteristic
488#66871C2311yescharacteristic
489#66871C2311yescharacteristic
490#60763—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11C2×D411yescharacteristic
493C23×D11C2×D411yescharacteristic
494C23×D11C2×D411yescharacteristic
495C11×#41—41no—
496C11×#41—41no—
497C11×#41—41no—
498C11×#41—41no—
499C2×Q8×C11—21no—
500C2×Q8×C11—41no—
501C2×Q8×C11—41no—
502C2×Q8×C11C2×D411yescharacteristic
503C2×Q8×C11C2411yescharacteristic
504C2×Q8×C11C2411yescharacteristic
505C2×Q8×C11C2411yescharacteristic
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11C2×D411yescharacteristic
510C2×D4×C11C2×D411yescharacteristic
511C2×D4×C11C2×D411yescharacteristic
512C2×D4×C11C2411yescharacteristic
513C22×C4×C11—21no—
514C22×C4×C11—21no—
515C22×C4×C11—21no—
516C22×C4×C11C2411yescharacteristic
517C22×C4×C11C2411yescharacteristic
518C22×C4×C11C2411yescharacteristic
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—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11C2×D411yescharacteristic
530C2×C22⋊D11C2×D411yescharacteristic
531C2×C22⋊D11C2×D411yescharacteristic
532C2×C22⋊D11C2×D411yescharacteristic
533C2×C22⋊D11C2×D411yescharacteristic
534C2×C22⋊D11C2×D411yescharacteristic
535C22×Dic11—21no—
536C22×Dic11—21no—
537C22×Dic11—21no—
538C22×Dic11C2×D411yescharacteristic
539C22×Dic11C2×D411yescharacteristic
540C22×Dic11C2×D411yescharacteristic
541#4343—22no—
542#4343—22no—
543#4343—22no—
544#4343—22no—
545#4343—41no—
546#4343—41no—
547#4343—42no—
548#4343—44no—
549Q8×D11—22no—
550Q8×D11—22no—
551Q8×D11—41no—
552Q8×D11—41no—
553Q8×D11—41no—
554Q8×D11—41no—
555Q8×D11—42no—
556Q8×D11—44no—
557#4341—22no—
558#4341—22no—
559#4341—42no—
560#4341—42no—
561#4341—42no—
562#4341—44no—
563D4×D11—41no—
564D4×D11—41no—
565D4×D11—42no—
566D4×D11—42no—
567D4×D11—44no—
568D4×D11—42no—
569D4×D11—82no—
570D4×D11—82no—
571#4339—22no—
572#4339—22no—
573#4339—22no—
574#4339—22no—
575#4339—41no—
576#4339—41no—
577#4339—41no—
578#4339—41no—
579#4339—41no—
580#4339—41no—
581#4339—44no—
582#4339—44no—
583#4339—44no—
584C2×D44—21no—
585C2×D44—21no—
586C2×D44—21no—
587C2×D44—21no—
588C2×D44—21no—
589C2×D44—21no—
590C2×D44—21no—
591C2×D44C2×D411yescharacteristic
592C2×D44C2×D411yescharacteristic
593C2×D44C2×D411yescharacteristic
594C2×D44C2411yescharacteristic
595C2×D44C2411yescharacteristic
596C2×C4×D11—22no—
597C2×C4×D11—22no—
598C2×C4×D11—21no—
599C2×C4×D11—21no—
600C2×C4×D11—21no—
601C2×C4×D11—21no—
602C2×C4×D11—21no—
603C2×C4×D11—21no—
604C2×C4×D11—21no—
605C2×C4×D11—21no—
606C2×C4×D11—21no—
607C2×C4×D11—21no—
608C2×C4×D11—21no—
609C2×C4×D11—21no—
610C2×C4×D11—21no—
611C2×C4×D11—21no—
612C2×C4×D11—41no—
613C2×C4×D11—41no—
614C2×C4×D11—41no—
615C2×C4×D11—41no—
616C2×C4×D11—44no—
617C2×C4×D11—82no—
618C2×C4×D11C2×D411yescharacteristic
619C2×C4×D11C2×D411yescharacteristic
620C2×C4×D11C2×D411yescharacteristic
621C2×C4×D11C2×D411yescharacteristic
622C2×C4×D11C2×D411yescharacteristic
623C2×C4×D11C2×D411yescharacteristic
624C2×C4×D11C2411yescharacteristic
625C2×C4×D11C2411yescharacteristic
626C2×C4×D11C2411yescharacteristic
627C2×C4×D11C2411yescharacteristic
628C2×Dic22—21no—
629C2×Dic22—21no—
630C2×Dic22—21no—
631C2×Dic22C2×D411yescharacteristic
632C2×Dic22C2×D411yescharacteristic
633C2×Dic22C2×D411yescharacteristic
634C2×Dic22C2411yescharacteristic
635C2×Dic22C2411yescharacteristic
636C11×Q16—41no—
637C11×Q16—41no—
638C11×SD16—41no—
639C11×SD16—41no—
640C11×M16—41no—
641C2×C8×C11—41no—
642C2×C8×C11C2411yescharacteristic
643C2×C8×C11C2411yescharacteristic
644C2×C8×C11C2411yescharacteristic
645C2×C8×C11C2411yescharacteristic
646C11×C4⋊C4—21no—
647C11×C4⋊C4—21no—
648C11×C4⋊C4—21no—
649C11×C4⋊C4—21no—
650C11×C4⋊C4—21no—
651C11×C4⋊C4—21no—
652C11×C4⋊C4—21no—
653C11×C4⋊C4C2411yescharacteristic
654C11×C4⋊C4C2411yescharacteristic
655C11×C4⋊C4C2411yescharacteristic
656C11×C4⋊C4C2411yescharacteristic
657C11×C22⋊C4—21no—
658C11×C22⋊C4—21no—
659C11×C22⋊C4—21no—
660C11×C22⋊C4—21no—
661C11×C22⋊C4—21no—
662C11×C22⋊C4—21no—
663C11×C22⋊C4—21no—
664C11×C22⋊C4—21no—
665C11×C22⋊C4—21no—
666C42×C11—21no—
667C22⋊Dic11—21no—
668C22⋊Dic11—21no—
669C22⋊Dic11—21no—
670C22⋊Dic11—21no—
671C22⋊Dic11—21no—
672C22⋊Dic11—21no—
673#4326—41no—
674#4326—41no—
675#4326—41no—
676#4325—41no—
677#4325—41no—
678#4325—41no—
679#4324—41no—
680#4323—41no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4—21no—
683(C2×D11)⋊C4—21no—
684(C2×D11)⋊C4—21no—
685(C2×D11)⋊C4—21no—
686(C2×D11)⋊C4—21no—
687(C2×D11)⋊C4—21no—
688(C2×D11)⋊C4—21no—
689(C2×D11)⋊C4—21no—
690(C2×D11)⋊C4—21no—
691(C2×D11)⋊C4—21no—
692(C2×D11)⋊C4—21no—
693(C2×D11)⋊C4—21no—
694(C2×D11)⋊C4—21no—
695(C2×D11)⋊C4—21no—
696(C2×D11)⋊C4—21no—
697(C2×D11)⋊C4—21no—
698(C2×D11)⋊C4—21no—
699(C2×D11)⋊C4—21no—
700(C2×D11)⋊C4—21no—
701C4⋊Dic11—21no—
702C4⋊Dic11—21no—
703C4⋊Dic11—21no—
704C4⋊Dic11—21no—
705C4⋊Dic11—21no—
706C4⋊Dic11—21no—
707C4⋊Dic11C2411yescharacteristic
708C4⋊Dic11C2411yescharacteristic
709C4⋊Dic11C2411yescharacteristic
710C4⋊Dic11C2411yescharacteristic
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4—21no—
714Dic11⋊C4—21no—
715Dic11⋊C4—21no—
716Dic11⋊C4—21no—
717Dic11⋊C4—21no—
718Dic11⋊C4—21no—
719Dic11⋊C4—21no—
720Dic11⋊C4—21no—
721Dic11⋊C4—21no—
722Dic11⋊C4—21no—
723Dic11⋊C4—21no—
724Dic11⋊C4—21no—
725Dic11⋊C4—21no—
726Dic11⋊C4—21no—
727C4×Dic11—21no—
728C4×Dic11—21no—
729#4318—41no—
730C2×C11⋊C8—41no—
731C2×C11⋊C8C2411yescharacteristic
732C2×C11⋊C8C2411yescharacteristic
733C2×C11⋊C8C2411yescharacteristic
734C2×C11⋊C8C2411yescharacteristic
735Dic44—41no—
736D88—41no—
737#4314—41no—
738#4314—41no—
739#4313—22no—
740#4313—22no—
741#4313—41no—
742#4313—41no—
743C8×D11—22no—
744C8×D11—22no—
745C8×D11—41no—
746C8×D11—41no—
747#3489—111no—
748C2×#537—111no—
749#3204—111no—
750#3204—111no—
751#3204—111no—
752#3204—111no—
753#3201—111no—
754#3201—111no—
755#3201—111no—
756#3201D1111yescharacteristic, complemented
757#3195—111no—
758#3195—111no—
759#3194—111no—
760#3194—111no—
761#3190—111no—
762#3190—111no—
763#3187—111no—
764#3187—111no—
765#3099—111no—
766#3099—111no—
767#3092—111no—
768C2×#483—111no—
769#3063—111no—
770#3063—111no—
771#3060—111no—
772#3060—111no—
773#3013—111no—
774#3013—111no—
775#3007—111no—
776#3002—111no—
777#2880—111no—
778C23×C11—21no—
779C23×C11C22×D411yescharacteristic
780C23×C11C22×D411yescharacteristic
781C23×C11C22×D411yescharacteristic
782C22×D11—22no—
783C22×D11—22no—
784C22×D11—22no—
785C22×D11—22no—
786C22×D11—21no—
787C22×D11—21no—
788C22×D11—41no—
789C22×D11—41no—
790C22×D11—41no—
791C22×D11—41no—
792C22×D11—41no—
793C22×D11—42no—
794C22×D11—42no—
795C22×D11—42no—
796C22×D11C22×D411yescharacteristic
797C22×D11C22×D411yescharacteristic
798C22×D11C22×D411yescharacteristic
799C22×D11C22×D411yescharacteristic
800Q8×C11—21no—
801Q8×C11—21no—
802Q8×C11—21no—
803Q8×C11—21no—
804Q8×C11—21no—
805Q8×C11—21no—
806Q8×C11—41no—
807Q8×C11—42no—
808D4×C11—21no—
809D4×C11—21no—
810D4×C11—41no—
811D4×C11—41no—
812D4×C11—41no—
813D4×C11—42no—
814D4×C11—81no—
815D4×C11—81no—
816C2×C4×C11—21no—
817C2×C4×C11—21no—
818C2×C4×C11—21no—
819C2×C4×C11—21no—
820C2×C4×C11—21no—
821C2×C4×C11—21no—
822C2×C4×C11—21no—
823C2×C4×C11—21no—
824C2×C4×C11—21no—
825C2×C4×C11—21no—
826C2×C4×C11—21no—
827C2×C4×C11—21no—
828C2×C4×C11—21no—
829C2×C4×C11—42no—
830C2×C4×C11—42no—
831C2×C4×C11—81no—
832C2×C4×C11C22×D411yescharacteristic
833C2×C4×C11C22×D411yescharacteristic
834C2×C4×C11C22×D411yescharacteristic
835C2×C4×C11C2511yescharacteristic
836C22⋊D11—22no—
837C22⋊D11—22no—
838C22⋊D11—22no—
839C22⋊D11—22no—
840C22⋊D11—41no—
841C22⋊D11—41no—
842C22⋊D11—42no—
843C22⋊D11—42no—
844C22⋊D11—42no—
845C22⋊D11—42no—
846C22⋊D11—81no—
847C22⋊D11—81no—
848C22⋊D11—81no—
849C22⋊D11—81no—
850C22⋊D11—81no—
851C22⋊D11—81no—
852C2×Dic11—22no—
853C2×Dic11—21no—
854C2×Dic11—21no—
855C2×Dic11—21no—
856C2×Dic11—21no—
857C2×Dic11—21no—
858C2×Dic11—21no—
859C2×Dic11—41no—
860C2×Dic11—41no—
861C2×Dic11—42no—
862C2×Dic11—81no—
863C2×Dic11—81no—
864C2×Dic11C22×D411yescharacteristic
865C2×Dic11C22×D411yescharacteristic
866C2×Dic11C22×D411yescharacteristic
867C2×Dic11C22×D411yescharacteristic
868D44—22no—
869D44—22no—
870D44—21no—
871D44—21no—
872D44—21no—
873D44—21no—
874D44—41no—
875D44—42no—
876D44—42no—
877D44—42no—
878D44—42no—
879D44—81no—
880D44—81no—
881D44—81no—
882C4×D11—22no—
883C4×D11—21no—
884C4×D11—21no—
885C4×D11—21no—
886C4×D11—21no—
887C4×D11—21no—
888C4×D11—21no—
889C4×D11—22no—
890C4×D11—41no—
891C4×D11—41no—
892C4×D11—41no—
893C4×D11—41no—
894C4×D11—42no—
895C4×D11—42no—
896C4×D11—42no—
897C4×D11—42no—
898C4×D11—42no—
899C4×D11—42no—
900C4×D11—42no—
901C4×D11—42no—
902C4×D11—42no—
903C4×D11—42no—
904C4×D11—81no—
905C4×D11—81no—
906C4×D11—81no—
907C4×D11—81no—
908C4×D11H(5,𝔽2)12yes—
909C4×D11H(5,𝔽2)12yes—
910Dic22—22no—
911Dic22—22no—
912Dic22—21no—
913Dic22—21no—
914Dic22—21no—
915Dic22—21no—
916Dic22—41no—
917Dic22—42no—
918Dic22—42no—
919Dic22—42no—
920C8×C11—21no—
921C8×C11—21no—
922C8×C11—21no—
923C8×C11—21no—
924C11⋊C8—21no—
925C11⋊C8—21no—
926C11⋊C8—21no—
927C11⋊C8—21no—
928C2×2−1+4—111no—
929C22×#41—111no—
930C22×#41—111no—
931C2×#137—111no—
932C2×#137—111no—
933C2×#135—111no—
934C2×#135—111no—
935C2×#131—111no—
936C2×#131—111no—
937D4×Q8—221no—
938#548—221no—
939#547—221no—
940#547—221no—
941#547—221no—
942#546—221no—
943#546—221no—
944#546—221no—
945#537—111no—
946#537—111no—
947#537—111no—
948#537—111no—
949#537—111no—
950#537—111no—
951#537—111no—
952#537—111no—
953#537—111no—
954#537—111no—
955#537—221no—
956#537—221no—
957#537—221no—
958#537—221no—
959#537C2×D1111yescharacteristic
960#536—111no—
961#536—111no—
962#536C2×D1111yescharacteristic, complemented
963#525—111no—
964#525—111no—
965#525—111no—
966C2×C22⋊Q8—111no—
967C2×C22⋊Q8—111no—
968C2×C22⋊Q8—111no—
969C2×C22⋊Q8—111no—
970C2×C22⋊Q8—111no—
971C2×C22⋊Q8—221no—
972C2×#121—111no—
973C2×#121—111no—
974C2×#121—221no—
975C2×#121—221no—
976C2×#121—221no—
977#520—111no—
978C22×C4⋊C4—111no—
979#485—111no—
980#485—111no—
981#485—111no—
982#485C2×D1111yescharacteristic, complemented
983#484—111no—
984#484C2×D1111yescharacteristic, complemented
985#483—111no—
986#483—111no—
987#483—111no—
988#483—111no—
989#483—111no—
990#483—111no—
991#483—111no—
992#483—111no—
993#483—111no—
994#483—111no—
995#483—111no—
996#483—111no—
997#483—111no—
998#483C2×D1111yescharacteristic, complemented
999#482—111no—
1000#482—111no—
1001#482—111no—
1002#482C2×D1111yescharacteristic, complemented
1003#481—111no—
1004#481—111no—
1005#481—111no—
1006#481—111no—
1007#481—111no—
1008#481—111no—
1009#480—111no—
1010#480—111no—
1011#470—111no—
1012#470—111no—
1013#470—111no—
1014#470—111no—
1015#470—111no—
1016#470—111no—
1017#470—111no—
1018#470C2×D1111yescharacteristic, complemented
1019#469—111no—
1020#469—111no—
1021#469—111no—
1022#469—111no—
1023#468—111no—
1024#468—111no—
1025#468—111no—
1026#468C2×D1111yescharacteristic, complemented
1027#467—111no—
1028#467—111no—
1029#467—111no—
1030#467C2×D1111yescharacteristic, complemented
1031#465—111no—
1032#465—111no—
1033#465—111no—
1034#465—111no—
1035#465—111no—
1036#465—111no—
1037#465—111no—
1038#465—111no—
1039#465—111no—
1040#465—111no—
1041#465—111no—
1042#465C2×D1111yescharacteristic, complemented
1043#452—111no—
1044#452—111no—
1045#452—111no—
1046#452—111no—
1047#452—111no—
1048#452—111no—
1049#452—111no—
1050#452—111no—
1051#452C2×D1111yescharacteristic, complemented
1052#452C2×D1111yescharacteristic, complemented
1053#451—111no—
1054#451—111no—
1055#451—111no—
1056#451—111no—
1057#451—111no—
1058#451—111no—
1059#451C2×D1111yescharacteristic, complemented
1060#450—111no—
1061#450—111no—
1062#450—111no—
1063#449—111no—
1064#449—111no—
1065#449—111no—
1066#449—111no—
1067#449—111no—
1068#449—111no—
1069#448—111no—
1070#448—111no—
1071#448—111no—
1072#448—111no—
1073#448C2×D1111yescharacteristic, complemented
1074#447—111no—
1075#428—111no—
1076#428—111no—
1077C2×#106—111no—
1078C2×#106—111no—
1079#417—111no—
1080#417—111no—
1081#417—111no—
1082#417—111no—
1083#416—111no—
1084#416—111no—
1085C2×#103—111no—
1086C2×#103—111no—
1087#408—111no—
1088#408—111no—
1089#408—111no—
1090#408—111no—
1091#408—111no—
1092#408C2×D1111yescharacteristic, complemented
1093#407—111no—
1094#407—111no—
1095#407—111no—
1096C2×C22⋊C8—111no—
1097C2×C22⋊C8—111no—
1098C2×C22⋊C8—111no—
1099C22×C11—21no—
1100C22×C11—21no—
1101C22×C11—21no—
1102C22×C11—21no—
1103C22×C11—21no—
1104C22×C11—21no—
1105C22×C11—21no—
1106C22×C11—21no—
1107C22×C11—21no—
1108C22×C11—41no—
1109C22×C11—41no—
1110C22×C11—41no—
1111C22×C11C23×D411yescharacteristic
1112C2×D11—21no—
1113C2×D11—21no—
1114C2×D11—21no—
1115C2×D11—21no—
1116C2×D11—21no—
1117C2×D11—21no—
1118C2×D11—21no—
1119C2×D11—21no—
1120C2×D11—21no—
1121C2×D11—21no—
1122C2×D11—44no—
1123C2×D11—41no—
1124C2×D11—41no—
1125C2×D11—41no—
1126C2×D11—41no—
1127C2×D11—41no—
1128C2×D11—41no—
1129C2×D11—82no—
1130C2×D11—82no—
1131C2×D11—84no—
1132C2×D11#53412yes—
1133C2×D11#57712yes—
1134C4×C11—21no—
1135C4×C11—21no—
1136C4×C11—21no—
1137C4×C11—41no—
1138C4×C11—41no—
1139C4×C11—41no—
1140C4×C11—41no—
1141C4×C11—41no—
1142C4×C11—41no—
1143C4×C11—41no—
1144C4×C11C2×H(5,𝔽2)11yescharacteristic
1145C4×C11C2×H(5,𝔽2)11yescharacteristic
1146Dic11—21no—
1147Dic11—21no—
1148Dic11—21no—
1149Dic11—41no—
1150Dic11—41no—
1151Dic11—41no—
1152Dic11—41no—
1153Dic11—41no—
1154Dic11—41no—
1155Dic11#53412yes—
11562−1+4—442no—
11572−1+4—442no—
1158C2×#41—111no—
1159C2×#41—111no—
1160C2×#41—111no—
1161C2×#41—111no—
1162C2×#41—111no—
1163C2×#41—111no—
1164C2×#41—111no—
1165C2×#41—111no—
1166C2×#41—111no—
1167C2×#41—111no—
1168C2×#41—111no—
1169C2×#41—111no—
1170C2×#41—111no—
1171C2×#41—221no—
1172C2×#41—221no—
1173C2×#41—221no—
1174C2×#41—221no—
1175C2×#41—221no—
1176C2×#41—442no—
1177C2×#41—442no—
1178C2×#41—442no—
1179C2×#41—442no—
1180C2×#41C22×D1111yescharacteristic
1181C2×#41C22×D1111yescharacteristic
1182C22×Q8—111no—
1183C22×Q8—111no—
1184C22×Q8—111no—
1185C22×Q8—111no—
1186C22×Q8—221no—
1187C22×Q8C22×D1111yescharacteristic
1188C22×D4—111no—
1189C22×D4—111no—
1190C22×D4—111no—
1191C22×D4—111no—
1192C22×D4—221no—
1193C22×D4—221no—
1194C22×D4—221no—
1195C23×C4—111no—
1196C23×C4—111no—
1197C23×C4—111no—
1198C23×C4—221no—
1199C23×C4—221no—
1200#137—442no—
1201#137—442no—
1202#135—442no—
1203#135—442no—
1204C2×Q16—111no—
1205C2×Q16—111no—
1206C2×Q16—111no—
1207C2×Q16—111no—
1208C2×Q16C22×D1111yescharacteristic
1209C2×Q16C22×D1111yescharacteristic
1210C2×SD16—111no—
1211C2×SD16—111no—
1212C2×SD16—111no—
1213C2×SD16—111no—
1214C2×SD16—111no—
1215C2×SD16—111no—
1216C2×SD16C22×D1111yescharacteristic
1217C2×SD16C22×D1111yescharacteristic
1218C2×D8—111no—
1219C2×D8—111no—
1220#131—442no—
1221#131—442no—
1222C2×M16—111no—
1223C2×M16—111no—
1224C2×M16—111no—
1225C2×M16—111no—
1226C2×M16—111no—
1227C2×M16C22×D1111yescharacteristic
1228C22×C8—111no—
1229C22×C8—111no—
1230C22×C8—111no—
1231C22×C8—111no—
1232C22×C8—111no—
1233C22×C8C22×D1111yescharacteristic
1234C4⋊Q8—21no—
1235C4⋊Q8—221no—
1236C4⋊Q8—221no—
1237#124—21no—
1238#124—221no—
1239#124—221no—
1240#123—21no—
1241#123—21no—
1242#123—221no—
1243#123—221no—
1244#123—221no—
1245#123—221no—
1246#123—221no—
1247#123—221no—
1248#123—221no—
1249C22⋊Q8—21no—
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—111no—
1262C22⋊Q8—111no—
1263C22⋊Q8—111no—
1264C22⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8—221no—
1269C22⋊Q8—221no—
1270C22⋊Q8—221no—
1271C22⋊Q8—221no—
1272C22⋊Q8—221no—
1273C22⋊Q8—221no—
1274C22⋊Q8—221no—
1275C22⋊Q8—221no—
1276C22⋊Q8—221no—
1277C22⋊Q8—221no—
1278C22⋊Q8—221no—
1279C22⋊Q8—221no—
1280C22⋊Q8—221no—
1281C22⋊Q8—221no—
1282C22⋊Q8—221no—
1283C22⋊Q8—221no—
1284C22⋊Q8C22×D1111yescharacteristic
1285C22⋊Q8C22×D1111yescharacteristic
1286C22⋊Q8C22×D1111yescharacteristic
1287C22⋊Q8C22×D1111yescharacteristic
1288C22⋊Q8C22×D1111yescharacteristic
1289C22⋊Q8C22×D1111yescharacteristic
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—111no—
1294#121—111no—
1295#121—111no—
1296#121—111no—
1297#121—111no—
1298#121—111no—
1299#121—111no—
1300#121—111no—
1301#121—111no—
1302#121—111no—
1303#121—221no—
1304#121—221no—
1305#121—221no—
1306#121—221no—
1307#121—221no—
1308#121—221no—
1309#121—221no—
1310#121—221no—
1311#121—221no—
1312#121—221no—
1313#121—221no—
1314#121—221no—
1315#121—221no—
1316#121—221no—
1317#121—221no—
1318#121—221no—
1319#121—221no—
1320#121—221no—
1321#121—221no—
1322#121—221no—
1323#121—221no—
1324#121—221no—
1325#121—221no—
1326#121—221no—
1327#121—221no—
1328#121—221no—
1329#121—221no—
1330#121—221no—
1331#121—221no—
1332#121—221no—
1333#121—221no—
1334#121—221no—
1335#121—221no—
1336#121—221no—
1337#121C22×D1111yescharacteristic
1338#121C22×D1111yescharacteristic
1339#120—221no—
1340#120—221no—
1341#120—221no—
1342C4×Q8—221no—
1343C4×D4—221no—
1344C4×D4—221no—
1345C4×D4—221no—
1346C4×D4—221no—
1347C4×D4—221no—
1348C4×D4—221no—
1349C4×D4—221no—
1350C4×D4—221no—
1351C4×D4—221no—
1352#117—111no—
1353#117—111no—
1354#117C22×D1111yescharacteristic
1355C2×C4⋊C4—111no—
1356C2×C4⋊C4—111no—
1357C2×C4⋊C4—111no—
1358C2×C4⋊C4—111no—
1359C2×C4⋊C4—111no—
1360C2×C4⋊C4—111no—
1361C2×C4⋊C4—111no—
1362C2×C4⋊C4—111no—
1363C2×C4⋊C4—221no—
1364C2×C4⋊C4—221no—
1365C2×C4⋊C4—221no—
1366C2×C4⋊C4—221no—
1367C2×C4⋊C4—221no—
1368C2×C4⋊C4—221no—
1369C2×C4⋊C4—221no—
1370C2×C4⋊C4—221no—
1371C2×C4⋊C4C22×D1111yescharacteristic
1372C2×C22⋊C4—221no—
1373C2×C22⋊C4—221no—
1374C2×C22⋊C4—221no—
1375C2×C22⋊C4—221no—
1376C2×C22⋊C4—221no—
1377C2×C22⋊C4—221no—
1378C2×C22⋊C4—221no—
1379#107—111no—
1380#107—111no—
1381#107C22×D1111yescharacteristic
1382#107C22×D1111yescharacteristic
1383#106—111no—
1384#106—111no—
1385#106—111no—
1386#106—111no—
1387#106—111no—
1388#106—111no—
1389#106—111no—
1390#106—111no—
1391#106—111no—
1392#106—111no—
1393#106C22×D1111yescharacteristic
1394#106C22×D1111yescharacteristic
1395#103—111no—
1396#103—111no—
1397#103—111no—
1398#103—111no—
1399#103—111no—
1400#103—111no—
1401#103—111no—
1402#103—111no—
1403#103—111no—
1404#103—111no—
1405#103—111no—
1406#103—111no—
1407#103—111no—
1408#103—111no—
1409#103C22×D1111yescharacteristic
1410#103C22×D1111yescharacteristic
1411#103C22×D1111yescharacteristic
1412#103C22×D1111yescharacteristic
1413#103C22×D1111yescharacteristic
1414#103C22×D1111yescharacteristic
1415#102—111no—
1416#102—111no—
1417#102—111no—
1418#102—111no—
1419#102—111no—
1420#102—111no—
1421#102—111no—
1422#102—111no—
1423#102—111no—
1424#102—111no—
1425#102C22×D1111yescharacteristic
1426#102C22×D1111yescharacteristic
1427C22⋊C8—111no—
1428C22⋊C8—111no—
1429C22⋊C8—111no—
1430C22⋊C8—111no—
1431C22⋊C8—111no—
1432C22⋊C8—111no—
1433C22⋊C8—111no—
1434C22⋊C8—111no—
1435C22⋊C8—111no—
1436C22⋊C8—111no—
1437C22⋊C8—111no—
1438C22⋊C8—111no—
1439C22⋊C8C22×D1111yescharacteristic
1440C22⋊C8C22×D1111yescharacteristic
1441C22⋊C8C22×D1111yescharacteristic
1442C22⋊C8C22×D1111yescharacteristic
1443C2×C11—41no—
1444C2×C11—41no—
1445C2×C11—41no—
1446C2×C11—81no—
1447C2×C11C2×#53411yescharacteristic
1448C2×C11C2×#57711yescharacteristic
1449C2×C11#358611yescharacteristic
1450D11—22no—
1451D11—22no—
1452D11—41no—
1453D11—41no—
1454D11—81no—
1455D11—81no—
1456C24—111no—
1457C24—111no—
1458C24—111no—
1459C24—221no—
1460#41—41no—
1461#41—41no—
1462#41—41no—
1463#41—41no—
1464#41—222no—
1465#41—222no—
1466#41—222no—
1467#41—222no—
1468#41—222no—
1469#41—222no—
1470#41—222no—
1471#41—222no—
1472#41—222no—
1473#41—222no—
1474#41—441no—
1475#41—441no—
1476#41—441no—
1477#41—441no—
1478#41—441no—
1479#41—441no—
1480#41—444no—
1481#41—444no—
1482#41—444no—
1483#41—442no—
1484#41—442no—
1485#41—442no—
1486#41—444no—
1487#41—442no—
1488#41—441no—
1489#41—441no—
1490#41—444no—
1491C2×Q8—21no—
1492C2×Q8—41no—
1493C2×Q8—41no—
1494C2×Q8—111no—
1495C2×Q8—111no—
1496C2×Q8—111no—
1497C2×Q8—111no—
1498C2×Q8—111no—
1499C2×Q8—221no—
1500C2×Q8—221no—
1501C2×Q8—221no—
1502C2×Q8—222no—
1503C2×Q8—222no—
1504C2×Q8—441no—
1505C2×Q8—441no—
1506C2×Q8—441no—
1507C2×Q8—441no—
1508C2×Q8—442no—
1509C2×Q8—444no—
1510C2×Q8D4×D1111yescharacteristic
1511C2×Q8C23×D1111yescharacteristic
1512C2×Q8C23×D1111yescharacteristic
1513C2×Q8C23×D1111yescharacteristic
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—111no—
1518C2×D4—111no—
1519C2×D4—111no—
1520C2×D4—111no—
1521C2×D4—111no—
1522C2×D4—111no—
1523C2×D4—111no—
1524C2×D4—111no—
1525C2×D4—111no—
1526C2×D4—111no—
1527C2×D4—111no—
1528C2×D4—221no—
1529C2×D4—221no—
1530C2×D4—221no—
1531C2×D4—221no—
1532C2×D4—221no—
1533C2×D4—221no—
1534C2×D4—221no—
1535C2×D4—221no—
1536C2×D4—221no—
1537C2×D4—221no—
1538C2×D4—221no—
1539C2×D4—221no—
1540C2×D4—221no—
1541C2×D4—221no—
1542C2×D4—221no—
1543C2×D4—221no—
1544C2×D4—221no—
1545C2×D4—441no—
1546C2×D4—441no—
1547C2×D4—442no—
1548C2×D4—442no—
1549C2×D4—442no—
1550C2×D4—444no—
1551C2×D4—882no—
1552C2×D4—882no—
1553C2×D4D4×D1111yescharacteristic
1554C2×D4D4×D1111yescharacteristic
1555C2×D4D4×D1111yescharacteristic
1556C2×D4C23×D1111yescharacteristic
1557C22×C4—21no—
1558C22×C4—21no—
1559C22×C4—21no—
1560C22×C4—111no—
1561C22×C4—111no—
1562C22×C4—111no—
1563C22×C4—111no—
1564C22×C4—111no—
1565C22×C4—111no—
1566C22×C4—111no—
1567C22×C4—111no—
1568C22×C4—111no—
1569C22×C4—111no—
1570C22×C4—111no—
1571C22×C4—111no—
1572C22×C4—111no—
1573C22×C4—222no—
1574C22×C4—222no—
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—441no—
1593C22×C4—441no—
1594C22×C4—441no—
1595C22×C4—441no—
1596C22×C4—444no—
1597C22×C4—882no—
1598C22×C4C23×D1111yescharacteristic
1599C22×C4C23×D1111yescharacteristic
1600C22×C4C23×D1111yescharacteristic
1601Q16—41no—
1602Q16—41no—
1603Q16—441no—
1604Q16—441no—
1605Q16—441no—
1606Q16—441no—
1607SD16—41no—
1608SD16—41no—
1609SD16—441no—
1610SD16—441no—
1611SD16—441no—
1612SD16—441no—
1613SD16—441no—
1614SD16—441no—
1615D8—441no—
1616D8—441no—
1617M16—41no—
1618M16—222no—
1619M16—222no—
1620M16—441no—
1621M16—441no—
1622M16—441no—
1623C2×C8—41no—
1624C2×C8—111no—
1625C2×C8—111no—
1626C2×C8—111no—
1627C2×C8—111no—
1628C2×C8—222no—
1629C2×C8—222no—
1630C2×C8—441no—
1631C2×C8—441no—
1632C2×C8—441no—
1633C2×C8C23×D1111yescharacteristic
1634C2×C8C23×D1111yescharacteristic
1635C2×C8C23×D1111yescharacteristic
1636C2×C8C23×D1111yescharacteristic
1637C4⋊C4—21no—
1638C4⋊C4—21no—
1639C4⋊C4—21no—
1640C4⋊C4—21no—
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—111no—
1645C4⋊C4—111no—
1646C4⋊C4—111no—
1647C4⋊C4—111no—
1648C4⋊C4—221no—
1649C4⋊C4—221no—
1650C4⋊C4—221no—
1651C4⋊C4—221no—
1652C4⋊C4—221no—
1653C4⋊C4—221no—
1654C4⋊C4—221no—
1655C4⋊C4—221no—
1656C4⋊C4—221no—
1657C4⋊C4—221no—
1658C4⋊C4—221no—
1659C4⋊C4—221no—
1660C4⋊C4—221no—
1661C4⋊C4—221no—
1662C4⋊C4—221no—
1663C4⋊C4—221no—
1664C4⋊C4—221no—
1665C4⋊C4—221no—
1666C4⋊C4—221no—
1667C4⋊C4—221no—
1668C4⋊C4—221no—
1669C4⋊C4—221no—
1670C4⋊C4C23×D1111yescharacteristic
1671C4⋊C4C23×D1111yescharacteristic
1672C4⋊C4C23×D1111yescharacteristic
1673C4⋊C4C23×D1111yescharacteristic
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—221no—
1684C22⋊C4—221no—
1685C22⋊C4—221no—
1686C22⋊C4—221no—
1687C22⋊C4—221no—
1688C22⋊C4—221no—
1689C22⋊C4—221no—
1690C22⋊C4—221no—
1691C22⋊C4—221no—
1692C22⋊C4—221no—
1693C22⋊C4—221no—
1694C22⋊C4—221no—
1695C22⋊C4—221no—
1696C22⋊C4—221no—
1697C22⋊C4—221no—
1698C22⋊C4—221no—
1699C22⋊C4—221no—
1700C22⋊C4—221no—
1701C22⋊C4—221no—
1702C22⋊C4—221no—
1703C22⋊C4—221no—
1704C22⋊C4—221no—
1705C22⋊C4—221no—
1706C22⋊C4—221no—
1707C22⋊C4—221no—
1708C22⋊C4—221no—
1709C42—21no—
1710C42—221no—
1711C42—221no—
1712C11#6076311yescharacteristic, complemented, Sylow
1713C23—21no—
1714C23—111no—
1715C23—111no—
1716C23—111no—
1717C23—111no—
1718C23—222no—
1719C23—222no—
1720C23—222no—
1721C23—222no—
1722C23—221no—
1723C23—221no—
1724C23—441no—
1725C23—441no—
1726C23—441no—
1727C23—441no—
1728C23—441no—
1729C23—442no—
1730C23—442no—
1731C23—442no—
1732C23C2×D4×D1111yescharacteristic
1733C23C2×D4×D1111yescharacteristic
1734C23C2×D4×D1111yescharacteristic
1735Q8—21no—
1736Q8—21no—
1737Q8—21no—
1738Q8—21no—
1739Q8—21no—
1740Q8—21no—
1741Q8—41no—
1742Q8—42no—
1743Q8—222no—
1744Q8—222no—
1745Q8—221no—
1746Q8—221no—
1747Q8—221no—
1748Q8—221no—
1749Q8—441no—
1750Q8—442no—
1751Q8—442no—
1752Q8—442no—
1753D4—21no—
1754D4—21no—
1755D4—41no—
1756D4—41no—
1757D4—41no—
1758D4—42no—
1759D4—81no—
1760D4—81no—
1761D4—222no—
1762D4—222no—
1763D4—222no—
1764D4—222no—
1765D4—222no—
1766D4—222no—
1767D4—221no—
1768D4—221no—
1769D4—221no—
1770D4—221no—
1771D4—441no—
1772D4—442no—
1773D4—442no—
1774D4—442no—
1775D4—442no—
1776D4—441no—
1777D4—441no—
1778D4—442no—
1779D4—442no—
1780D4—442no—
1781D4—442no—
1782D4—881no—
1783D4—881no—
1784D4—881no—
1785D4—881no—
1786D4—881no—
1787D4—881no—
1788D4—881no—
1789D4—881no—
1790D4—881no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—42no—
1805C2×C4—42no—
1806C2×C4—81no—
1807C2×C4—111no—
1808C2×C4—112no—
1809C2×C4—112no—
1810C2×C4—111no—
1811C2×C4—111no—
1812C2×C4—111no—
1813C2×C4—222no—
1814C2×C4—222no—
1815C2×C4—222no—
1816C2×C4—221no—
1817C2×C4—221no—
1818C2×C4—221no—
1819C2×C4—221no—
1820C2×C4—221no—
1821C2×C4—221no—
1822C2×C4—221no—
1823C2×C4—221no—
1824C2×C4—221no—
1825C2×C4—221no—
1826C2×C4—221no—
1827C2×C4—221no—
1828C2×C4—441no—
1829C2×C4—441no—
1830C2×C4—441no—
1831C2×C4—441no—
1832C2×C4—442no—
1833C2×C4—442no—
1834C2×C4—442no—
1835C2×C4—442no—
1836C2×C4—442no—
1837C2×C4—442no—
1838C2×C4—442no—
1839C2×C4—442no—
1840C2×C4—442no—
1841C2×C4—442no—
1842C2×C4—442no—
1843C2×C4—441no—
1844C2×C4—441no—
1845C2×C4—881no—
1846C2×C4—881no—
1847C2×C4—881no—
1848C2×C4—881no—
1849C2×C4—881no—
1850C2×C4—881no—
1851C2×C4C2×D4×D1111yescharacteristic
1852C2×C4C2×D4×D1111yescharacteristic
1853C2×C4C2×D4×D1111yescharacteristic
1854C2×C4C24×D1111yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—221no—
1860C8—221no—
1861C8—221no—
1862C8—221no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—112no—
1876C22—112no—
1877C22—221no—
1878C22—221no—
1879C22—221no—
1880C22—221no—
1881C22—221no—
1882C22—221no—
1883C22—221no—
1884C22—221no—
1885C22—221no—
1886C22—221no—
1887C22—444no—
1888C22—441no—
1889C22—441no—
1890C22—441no—
1891C22—441no—
1892C22—441no—
1893C22—441no—
1894C22—882no—
1895C22—882no—
1896C22—884no—
1897C22C22×D4×D1111yescharacteristic
1898C4—21no—
1899C4—21no—
1900C4—21no—
1901C4—41no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—41no—
1908C4—112no—
1909C4—221no—
1910C4—221no—
1911C4—221no—
1912C4—441no—
1913C4—441no—
1914C4—441no—
1915C4—441no—
1916C4—441no—
1917C4—441no—
1918C4D11×H(5,𝔽2)11yescharacteristic
1919C4D11×H(5,𝔽2)11yescharacteristic
1920C2—41no—
1921C2—41no—
1922C2—41no—
1923C2—81no—
1924C2—222no—
1925C2—222no—
1926C2—441no—
1927C2—441no—
1928C2—881no—
1929C2—881no—
1930C2D11×#53411yescharacteristic
1931C2D11×#57711yescharacteristic
1932C2#1308340111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3201C2
socleC22×C11C23×D4
hypercenter#3201D11
hypocenterC11#60763
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3201

Complements

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

NH ≅ G/Ntype
1. #13082294C2semidirect
2. D11×#537C2semidirect
3. #13079528C2semidirect
4. #13079526C2semidirect
5. #13079524C2semidirect
6. #13079522C2semidirect
7. #13079503C2semidirect
8. #13079498C2semidirect
9. #13079495C2semidirect
10. #13079438C2semidirect
11. #13079436C2semidirect
12. #13079434C2semidirect
13. #13079431C2semidirect
14. #13079401C2semidirect
15. #13079398C2semidirect
16. #13079371C2semidirect
17. #13079368C2semidirect
18. #13078608C2semidirect
19. #13078602C2semidirect
20. #13078543C2semidirect
21. D11×#483C2semidirect
22. #13078306C2semidirect
23. #13078302C2semidirect
24. #13078280C2semidirect
25. #13078273C2semidirect
26. #13077932C2semidirect
27. #13077926C2semidirect
28. #13077873C2semidirect
29. #13077837C2semidirect
30. #13077064C2semidirect
31. C11×#3201C2semidirect
34. C2×#67040C22semidirect
36. C11×#536C22semidirect
39. #10623364C22semidirect
41. C2×#66972C22semidirect
42. C2×#66971C22semidirect
43. C2×#66969C22semidirect
44. C2×#66968C22semidirect
45. C2×#66960C22semidirect
46. C2×#66954C22semidirect
58. #10623160C22semidirect
59. #10623160C22semidirect
60. #10623159C22semidirect
61. #10623159C22semidirect
80. #10623054C22semidirect
83. C11×#485C22semidirect
84. C11×#484C22semidirect
85. C11×#483C22semidirect
86. C11×#482C22semidirect
87. C11×#470C22semidirect
88. C11×#468C22semidirect
89. C11×#467C22semidirect
90. C11×#465C22semidirect
91. C11×#452C22semidirect
92. C11×#452C22semidirect
93. C11×#451C22semidirect
94. C11×#448C22semidirect
95. C11×#408C22semidirect
96. #10622852C22semidirect
97. #10622851C22semidirect
98. #10622847C22semidirect
99. #10622841C22semidirect
100. #10622840C22semidirect
101. #10622802C22semidirect
102. #10622802C22semidirect
103. #10622800C22semidirect
106. #10622799C22semidirect
107. #10622785C22semidirect
108. #10622784C22semidirect
109. #10622784C22semidirect
110. #10622783C22semidirect
113. #10622750C22semidirect
114. #10622748C22semidirect
116. #10622727C22semidirect
117. #10622727C22semidirect
119. #10622665C22semidirect
120. #10622665C22semidirect
121. #10622664C22semidirect
122. #10622662C22semidirect
123. #10622661C22semidirect
124. #10622661C22semidirect
125. #10622660C22semidirect
126. #10622660C22semidirect
127. #10622660C22semidirect
128. #10622657C22semidirect
129. #10622656C22semidirect
130. #10622656C22semidirect
131. #10622654C22semidirect
132. #10622652C22semidirect
133. #10622650C22semidirect
134. #10622647C22semidirect
135. #10622616C22semidirect
136. #10622609C22semidirect
137. #10622584C22semidirect
138. #10622581C22semidirect
139. #10622501C22semidirect
140. #10622500C22semidirect
141. #10622499C22semidirect
142. #10622498C22semidirect
145. #10622494C22semidirect
146. #10622494C22semidirect
147. #10622478C22semidirect
148. #10622477C22semidirect
149. #10622476C22semidirect
152. #10622475C22semidirect
153. D11×#106C22semidirect
154. D11×#106C22semidirect
155. #10622429C22semidirect
156. #10622429C22semidirect
157. #10622428C22semidirect
158. #10622426C22semidirect
159. #10622424C22semidirect
160. #10622423C22semidirect
162. #10622421C22semidirect
163. #10622420C22semidirect
164. #10622420C22semidirect
165. #10622420C22semidirect
167. #10622419C22semidirect
172. #10622418C22semidirect
173. #10622417C22semidirect
174. #10622416C22semidirect
175. #10622416C22semidirect
176. #10622416C22semidirect
177. D11×#103C22semidirect
178. D11×#103C22semidirect
179. #10622395C22semidirect
180. #10622393C22semidirect
181. #10622392C22semidirect
182. #10622390C22semidirect
185. #10622385C22semidirect
186. #10622384C22semidirect
187. #10622348C22semidirect
188. #10622348C22semidirect
189. #10622347C22semidirect
190. #10622347C22semidirect
191. #10622346C22semidirect
192. #10622346C22semidirect
193. #10622340C22semidirect
194. #10622340C22semidirect
195. #10622340C22semidirect
196. #10622340C22semidirect
201. #10622334C22semidirect
202. #10622334C22semidirect
756. #3201D11semidirect
962. #536C2×D11semidirect
982. #485C2×D11semidirect
984. #484C2×D11semidirect
998. #483C2×D11semidirect
1002. #482C2×D11semidirect
1018. #470C2×D11semidirect
1026. #468C2×D11semidirect
1030. #467C2×D11semidirect
1042. #465C2×D11semidirect
1051. #452C2×D11semidirect
1052. #452C2×D11semidirect
1059. #451C2×D11semidirect
1073. #448C2×D11semidirect
1092. #408C2×D11semidirect
1712. C11#60763semidirect

Maximal subgroups

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

subgroupindex
#130822942
D11×#5372
#130795282
#130795262
#130795242
#130795222
#130795032
#130794982
#130794952
#130794382
#130794362
#130794342
#130794312
#130794012
#130793982
#130793712
#130793682
#130786082
#130786022
#130785432
D11×#4832
#130783062
#130783022
#130782802
#130782732
#130779322
#130779262
#130778732
#130778372
#130770642
C11×#32012
#6076311