Finite Group Databasebeta

← #15636628

Subgroups — #15636628

Order 2816.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082584C211yesmaximal, characteristic, complemented
2#13082567C211yesmaximal, characteristic, complemented
3#13081670C211yesmaximal, characteristic, complemented
4#13081516C211yesmaximal, characteristic, complemented
5#13081277C211yesmaximal, characteristic, complemented
6#13081256C211yesmaximal, characteristic, complemented
7#13081227C211yesmaximal, characteristic, complemented
8#13081136C211yesmaximal, characteristic, complemented
9#13081132C211yesmaximal, characteristic, complemented
10#13080546C211yesmaximal, characteristic, complemented
11#13080540C211yesmaximal, characteristic, complemented
12#13080529C211yesmaximal, characteristic, complemented
13#13080456C211yesmaximal, characteristic, complemented
14#13080447C211yesmaximal, characteristic, complemented
15#13080436C211yesmaximal, characteristic, complemented
16#13080210C211yesmaximal, characteristic, complemented
17#13080143C211yesmaximal, characteristic, complemented
18#13080135C211yesmaximal, characteristic, complemented
19#13079284C211yesmaximal, characteristic, complemented
20#13079280C211yesmaximal, characteristic, complemented
21#13079172C211yesmaximal, characteristic, complemented
22#13078897C211yesmaximal, characteristic, complemented
23#13078893C211yesmaximal, characteristic, complemented
24#13078868C211yesmaximal, characteristic, complemented
25#13078867C211yesmaximal, characteristic, complemented
26#13078774C211yesmaximal, characteristic, complemented
27#13078763C211yesmaximal, characteristic, complemented
28#13077587C211yesmaximal, characteristic, complemented
29#13077441C211yesmaximal, characteristic, complemented
30C4×#66965C211yesmaximal, characteristic, complemented
31C11×#2946C211yesmaximal, characteristic, complemented
32C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
33C11×#520C2211yescharacteristic, complemented
34C11×#518C2211yescharacteristic
35#10623355C2211yescharacteristic
36#10623355C2211yescharacteristic, complemented
37#10623337C2211yescharacteristic
38D4×C22⋊D11C2211yescharacteristic
39C2×#66965C2211yescharacteristic
40C2×#66964C2211yescharacteristic
41#10623114C2211yescharacteristic, complemented
42#10623112C2211yescharacteristic, complemented
43#10623109C2211yescharacteristic, complemented
44#10623098C2211yescharacteristic, complemented
45#10623095—21no—
46#10623094C2211yescharacteristic
47#10623092C2211yescharacteristic
48#10623091—21no—
49#10623090C2211yescharacteristic
50#10623087—21no—
51#10623086C2211yescharacteristic, complemented
52#10623085C2211yescharacteristic
53#10623083—21no—
54#10623079C2211yescharacteristic
55#10623077C2211yescharacteristic, complemented
56#10623076C2211yescharacteristic
57#10623072—21no—
58#10623071—21no—
59#10623070C2211yescharacteristic, complemented
60#10623069—21no—
61#10623069—21no—
62D4×Dic22C2211yescharacteristic
63C4×#4341C2211yescharacteristic
64C4×#4341C2211yescharacteristic, complemented
65#10623065C2211yescharacteristic
66#10623064C2211yescharacteristic
67#10623063C2211yescharacteristic
68#10623062—21no—
69#10623062—21no—
70#10623059C2211yescharacteristic
71#10623049C2211yescharacteristic, complemented
72#10623046—21no—
73#10623044C2211yescharacteristic, complemented
74#10623042C2211yescharacteristic
75C2×#66942—21no—
76#10623026—21no—
77#10623025—21no—
78C2×#66938—21no—
79#10623021—21no—
80C11×#442C2211yescharacteristic
81C11×#442C2211yescharacteristic, complemented
82C11×#440C2211yescharacteristic
83C11×#440C2211yescharacteristic, complemented
84C4×C11×SD16C2211yescharacteristic
85C4×C11×SD16C2211yescharacteristic, complemented
86C4×C11×D8C2211yescharacteristic
87C4×C11×D8C2211yescharacteristic, complemented
88C11×#428C2211yescharacteristic, complemented
89C11×#416C2211yescharacteristic, complemented
90C2×C11×#102C2211yescharacteristic
91C11×#405C2211yescharacteristic, complemented
92#10622852C2211yescharacteristic, complemented
93#10622851C2211yescharacteristic
94#10622831C2211yescharacteristic
95#10622831C2211yescharacteristic
96#10622788C2211yescharacteristic
97#10622787C2211yescharacteristic
98#10622786C2211yescharacteristic
99#10622784C2211yescharacteristic, complemented
100#10622782C2211yescharacteristic
101#10622780C2211yescharacteristic, complemented
102#10622775C2211yescharacteristic
103#10622775C2211yescharacteristic
104#10622771C2211yescharacteristic
105#10622771C2211yescharacteristic, complemented
106#10622766C2211yescharacteristic, complemented
107#10622765C2211yescharacteristic
108#10622763C2211yescharacteristic
109D8×Dic11C2211yescharacteristic
110#10622750C2211yescharacteristic, complemented
111#10622747C2211yescharacteristic
112#10622741C2211yescharacteristic
113#10622740C2211yescharacteristic, complemented
114#10622729C2211yescharacteristic, complemented
115#10622727C2211yescharacteristic
116C8×C22⋊D11C2211yescharacteristic
117C8×C22⋊D11C2211yescharacteristic, complemented
118#10622643C2211yescharacteristic, complemented
119#10622641C2211yescharacteristic, complemented
120C4×#4325C2211yescharacteristic, complemented
121#10622633C2211yescharacteristic, complemented
122#10622632C2211yescharacteristic
123#10622632C2211yescharacteristic, complemented
124#10622631C2211yescharacteristic
125#10622631C2211yescharacteristic, complemented
126C4×#4324C2211yescharacteristic
127C4×#4324C2211yescharacteristic, complemented
128C4×#4324C2211yescharacteristic, complemented
129#10622629C2211yescharacteristic, complemented
130#10622627C2211yescharacteristic, complemented
131#10622622C2211yescharacteristic
132#10622622C2211yescharacteristic, complemented
133#10622621C2211yescharacteristic, complemented
134#10622613C2211yescharacteristic, complemented
135#10622609C2211yescharacteristic, complemented
136#10622609C2211yescharacteristic, complemented
137#10622584C2211yescharacteristic, complemented
138#10622581C2211yescharacteristic
139#10622504C2211yescharacteristic, complemented
140#10622502C2211yescharacteristic, complemented
141#10622501C2211yescharacteristic, complemented
142#10622501C2211yescharacteristic, complemented
143#10622494C2211yescharacteristic, complemented
144#10622493C2211yescharacteristic, complemented
145#10622488C2211yescharacteristic, complemented
146#10622486C2211yescharacteristic, complemented
147#10622481C2211yescharacteristic, complemented
148#10622479C2211yescharacteristic, complemented
149#10622477C2211yescharacteristic, complemented
150#10622475C2211yescharacteristic, complemented
151#10622469C2211yescharacteristic, complemented
152#10622468C2211yescharacteristic, complemented
153#10622467C2211yescharacteristic, complemented
154#10622467C2211yescharacteristic, complemented
155#10622431C2211yescharacteristic, complemented
156#10622428C2211yescharacteristic, complemented
157#10622427C2211yescharacteristic, complemented
158#10622426C2211yescharacteristic, complemented
159#10622420C2211yescharacteristic, complemented
160#10622406C2211yescharacteristic, complemented
161#10622405C2211yescharacteristic, complemented
162#10622405C2211yescharacteristic, complemented
163#10622397C2211yescharacteristic, complemented
164#10622396C2211yescharacteristic
165#10622396C2211yescharacteristic, complemented
166#10622394C2211yescharacteristic, complemented
167#10622391C2211yescharacteristic
168#10622391C2211yescharacteristic, complemented
169#10622390C2211yescharacteristic
170#10622389C2211yescharacteristic
171#10622385C2211yescharacteristic
172#10622385C2211yescharacteristic, complemented
173#10622385C2211yescharacteristic, complemented
174D11×#102C2211yescharacteristic
175#10622381C2211yescharacteristic, complemented
176#10622380C2211yescharacteristic, complemented
177#10622379C2211yescharacteristic
178#10622375C2211yescharacteristic
179#10622374C2211yescharacteristic
180#10622374C2211yescharacteristic, complemented
181#10622373C2211yescharacteristic
182#10622372C2211yescharacteristic, complemented
183#10622371C2211yescharacteristic
184#10622371C2211yescharacteristic
185#10622371C2211yescharacteristic, complemented
186#10622369C2211yescharacteristic, complemented
187#10622329C2211yescharacteristic, complemented
188#10622328C2211yescharacteristic, complemented
189#10622323C2211yescharacteristic, complemented
190#10622322C2211yescharacteristic, complemented
191#10622319C2211yescharacteristic, complemented
192#10622318C2211yescharacteristic, complemented
193#10622315C2211yescharacteristic, complemented
194#10622314C2211yescharacteristic, complemented
195C4×Dic44C2211yescharacteristic, complemented
196#10622310C2211yescharacteristic, complemented
197C4×#4314C2211yescharacteristic, complemented
198#10622302C2211yescharacteristic, complemented
199C8×D44C2211yescharacteristic, complemented
200C4×C8×D11C2211yescharacteristic, complemented
201#10622294C2211yescharacteristic, complemented
202C8×Dic22C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C2×#4341C2311yescharacteristic
207C2×#4341C2311yescharacteristic
208C2×#4341C2311yescharacteristic
209C2×D4×D11C2311yescharacteristic
210C2×#4339—21no—
211C22×Dic22—21no—
212C11×AGL(1,ℤ/8)—24no—
213C2×C11×SD16C2311yescharacteristic
214C2×C11×SD16C2311yescharacteristic
215C2×C11×D8C2311yescharacteristic
216C2×C11×D8C2311yescharacteristic
217C2×C11×M16C2311yescharacteristic
218C22×C8×C11C2311yescharacteristic
219C4×Q8×C11C2311yescharacteristic
220C4×Q8×C11C2311yescharacteristic
221C4×D4×C11—21no—
222C4×D4×C11—21no—
223C4×D4×C11—21no—
224C4×D4×C11—21no—
225C4×D4×C11C2311yescharacteristic
226C4×D4×C11C2311yescharacteristic
227C4×D4×C11C2311yescharacteristic
228C4×D4×C11C2311yescharacteristic
229C4×D4×C11C2311yescharacteristic
230C4×D4×C11C2311yescharacteristic
231C11×#117—21no—
232C11×#117C2311yescharacteristic
233C11×#117C2311yescharacteristic
234C2×C11×C4⋊C4—21no—
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4—21no—
237C2×C11×C22⋊C4—21no—
238#67006—21no—
239#67006—21no—
240C2×C22⋊Dic11—21no—
241#66999C2311yescharacteristic
242#66999C2311yescharacteristic
243#66997C2311yescharacteristic
244#66997C2311yescharacteristic
245C2×#4326C2311yescharacteristic
246C2×#4325C2311yescharacteristic
247#66993C2311yescharacteristic
248#66992—21no—
249#66992—21no—
250#66992—21no—
251#66992—21no—
252#66991C2311yescharacteristic
253#66991C2311yescharacteristic
254#66990—21no—
255#66989C2311yescharacteristic
256#66988—21no—
257#66988—21no—
258#66988—21no—
259D4×Dic11C2311yescharacteristic
260D4×Dic11C2311yescharacteristic
261D4×Dic11C2311yescharacteristic
262D4×Dic11C2311yescharacteristic
263C2×#4324C2311yescharacteristic
264C2×#4324C2311yescharacteristic
265C2×#4324C2311yescharacteristic
266C2×#4324C2311yescharacteristic
267C2×#4324C2311yescharacteristic
268C2×#4323C2311yescharacteristic
269#66983—21no—
270#66983—21no—
271#66983—21no—
272#66983C2311yescharacteristic
273#66982—21no—
274#66982—21no—
275#66982—21no—
276#66982—21no—
277#66982—21no—
278C4×C22⋊D11—21no—
279C4×C22⋊D11—21no—
280C4×C22⋊D11—21no—
281C4×C22⋊D11—21no—
282C4×C22⋊D11—21no—
283C4×C22⋊D11—21no—
284C4×C22⋊D11—21no—
285C4×C22⋊D11C2311yescharacteristic
286C4×C22⋊D11C2311yescharacteristic
287C2×(C2×D11)⋊C4—21no—
288C2×(C2×D11)⋊C4—21no—
289#66979—21no—
290#66979—21no—
291C2×C4⋊Dic11—21no—
292#66977—21no—
293#66977—21no—
294#66977—21no—
295#66977—21no—
296#66977C2311yescharacteristic
297#66977C2311yescharacteristic
298#66977C2311yescharacteristic
299C2×Dic11⋊C4—21no—
300C2×Dic11⋊C4—21no—
301C2×Dic11⋊C4—21no—
302C2×Dic11⋊C4—21no—
303C2×C4×Dic11—21no—
304C2×C4×Dic11—21no—
305#66965—24no—
306#66964—24no—
307C2×Dic44C2311yescharacteristic
308C2×Dic44C2311yescharacteristic
309C2×#4314C2311yescharacteristic
310C2×#4314C2311yescharacteristic
311C2×#4313C2311yescharacteristic
312C2×C8×D11C2311yescharacteristic
313C2×C8×D11C2311yescharacteristic
314C2×C8×D11C2311yescharacteristic
315#66951—21no—
316#66951—21no—
317#66951—21no—
318#66951D411yescharacteristic
319#66950C2311yescharacteristic
320#66950C2311yescharacteristic
321#66950C2311yescharacteristic
322#66949—21no—
323#66949—21no—
324#66949—21no—
325#66949D411yescharacteristic
326#66948C2311yescharacteristic
327#66947—21no—
328#66947D411yescharacteristic
329#66946C2311yescharacteristic
330#66945C2311yescharacteristic
331#66945C2311yescharacteristic
332#66945C2311yescharacteristic
333C4⋊C4×D11C2311yescharacteristic
334#66943C2311yescharacteristic
335#66942—21no—
336#66942—21no—
337#66942—21no—
338#66942—21no—
339#66942—21no—
340#66942—21no—
341#66942—21no—
342#66942—21no—
343#66942—21no—
344#66942D411yescharacteristic
345#66941C2311yescharacteristic
346#66941C2311yescharacteristic
347#66941C2311yescharacteristic
348#66940C2311yescharacteristic
349#66940C2311yescharacteristic
350#66940C2311yescharacteristic
351#66939—21no—
352#66939—21no—
353#66939—21no—
354#66938—21no—
355#66938—21no—
356#66938—21no—
357#66938—21no—
358#66938—21no—
359#66938—21no—
360#66938—21no—
361#66938—21no—
362#66938D411yescharacteristic
363#66937—21no—
364#66937—21no—
365#66937D411yescharacteristic
366#66936—21no—
367#66936—21no—
368#66936D411yescharacteristic
369#66935—21no—
370(C22⋊D11)⋊C4—21no—
371(C22⋊D11)⋊C4—21no—
372(C22⋊D11)⋊C4—21no—
373(C22⋊D11)⋊C4—21no—
374C22⋊C4×D11—21no—
375#66932—21no—
376#66932—21no—
377#66932—21no—
378#66932—21no—
379#66932D411yescharacteristic
380#66931—21no—
381#66931—21no—
382#66931—21no—
383#66931—21no—
384#66930—21no—
385#66930—21no—
386#66930—21no—
387#66929—21no—
388#66929—21no—
389#66929—21no—
390#66928—21no—
391#66928C2311yescharacteristic
392C4×D44C2311yescharacteristic
393C4×D44C2311yescharacteristic
394#66925—21no—
395#66925—21no—
396#66925—21no—
397#66925C2311yescharacteristic
398C42×D11C2311yescharacteristic
399#66923—21no—
400#66923—21no—
401#66923C2311yescharacteristic
402#66922C2311yescharacteristic
403#66922C2311yescharacteristic
404C4×Dic22—21no—
405C4×Dic22—21no—
406C4×Dic22—21no—
407C4×Dic22C2311yescharacteristic
408C4×Dic22C2311yescharacteristic
409C4×Dic22C2311yescharacteristic
410C4×Dic22C2311yescharacteristic
411C11×#107C2311yescharacteristic
412C11×#107C2311yescharacteristic
413C11×#106C2311yescharacteristic
414C11×#106C2311yescharacteristic
415C11×#103C2311yescharacteristic
416C11×#103C2311yescharacteristic
417C11×#102C2311yescharacteristic
418C11×#102C2311yescharacteristic
419C11×#102C2311yescharacteristic
420C11×#102C2311yescharacteristic
421C11×#102C2311yescharacteristic
422C11×#102C2311yescharacteristic
423C11×#97C2311yescharacteristic
424C11×#97C2311yescharacteristic
425C4×C8×C11C2311yescharacteristic
426C4×C8×C11C2311yescharacteristic
427#66899C2311yescharacteristic
428#66899C2311yescharacteristic
429#66896C2311yescharacteristic
430#66896C2311yescharacteristic
431#66896C2311yescharacteristic
432#66896C2311yescharacteristic
433#66896C2311yescharacteristic
434#66896C2311yescharacteristic
435C22⋊(C11⋊C8)C2311yescharacteristic
436C22⋊(C11⋊C8)C2311yescharacteristic
437#66885C2311yescharacteristic
438#66885C2311yescharacteristic
439(C2×D11)⋊C8C2311yescharacteristic
440(C2×D11)⋊C8C2311yescharacteristic
441(C2×D11)⋊C8C2311yescharacteristic
442(C2×D11)⋊C8C2311yescharacteristic
443#66882C2311yescharacteristic
444#66882C2311yescharacteristic
445#66881C2311yescharacteristic
446#66881C2311yescharacteristic
447#66880C2311yescharacteristic
448#66880C2311yescharacteristic
449#66880C2311yescharacteristic
450#66880C2311yescharacteristic
451#66880C2311yescharacteristic
452#66880C2311yescharacteristic
453#66879C2311yescharacteristic
454Dic11⋊C8C2311yescharacteristic
455Dic11⋊C8C2311yescharacteristic
456Dic11⋊C8C2311yescharacteristic
457Dic11⋊C8C2311yescharacteristic
458C8×Dic11C2311yescharacteristic
459C8×Dic11C2311yescharacteristic
460C8×Dic11C2311yescharacteristic
461#66874C2311yescharacteristic
462#66874C2311yescharacteristic
463#66874C2311yescharacteristic
464#66874C2311yescharacteristic
465#66874C2311yescharacteristic
466#66874C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66872C2311yescharacteristic
470#66872C2311yescharacteristic
471#66872C2311yescharacteristic
472#66872C2311yescharacteristic
473#66872C2311yescharacteristic
474#66872C2311yescharacteristic
475#66871C2311yescharacteristic
476#66871C2311yescharacteristic
477C4⋊(C11⋊C8)C2311yescharacteristic
478C4⋊(C11⋊C8)C2311yescharacteristic
479#66867C2311yescharacteristic
480C4×C11⋊C8C2311yescharacteristic
481#61493—111nomaximal, Sylow
482C24×C11—21no—
483C23×D11—21no—
484C11×#41—22no—
485C11×#41—41no—
486C2×Q8×C11C2411yescharacteristic
487C2×D4×C11—22no—
488C2×D4×C11—21no—
489C2×D4×C11—21no—
490C2×D4×C11—41no—
491C2×D4×C11C2411yescharacteristic
492C2×D4×C11C2411yescharacteristic
493C2×D4×C11C2411yescharacteristic
494C22×C4×C11—21no—
495C22×C4×C11—21no—
496C22×C4×C11—21no—
497C22×C4×C11—21no—
498C22×C4×C11—21no—
499C22×C4×C11—21no—
500C22×C4×C11—21no—
501C22×C4×C11—21no—
502C22×C4×C11C2411yescharacteristic
503C2×C22⋊D11—21no—
504C2×C22⋊D11—21no—
505C2×C22⋊D11—21no—
506C2×C22⋊D11—21no—
507C2×C22⋊D11—21no—
508C2×C22⋊D11—21no—
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11—82no—
513C2×C22⋊D11C2×D411yescharacteristic
514C2×C22⋊D11C2×D411yescharacteristic
515C22×Dic11—21no—
516C22×Dic11—21no—
517C22×Dic11—21no—
518C22×Dic11—21no—
519C22×Dic11—21no—
520C22×Dic11—21no—
521C22×Dic11—21no—
522#4341—22no—
523#4341—22no—
524#4341—22no—
525#4341—41no—
526#4341—41no—
527#4341—41no—
528D4×D11—22no—
529D4×D11—41no—
530#4339—82no—
531C2×D44—21no—
532C2×D44C2×D411yescharacteristic
533C2×D44C2411yescharacteristic
534C2×C4×D11—21no—
535C2×C4×D11—21no—
536C2×C4×D11—21no—
537C2×C4×D11C2×D411yescharacteristic
538C2×C4×D11C2×D411yescharacteristic
539C2×C4×D11C2411yescharacteristic
540C2×C4×D11C2411yescharacteristic
541C2×Dic22—21no—
542C2×Dic22—21no—
543C2×Dic22—21no—
544C2×Dic22—21no—
545C2×Dic22—82no—
546C2×Dic22C2×D411yescharacteristic
547C2×Dic22C2411yescharacteristic
548C2×Dic22C2411yescharacteristic
549C2×Dic22C2411yescharacteristic
550C11×SD16—22no—
551C11×SD16—22no—
552C11×D8—22no—
553C11×D8#4114yescomplemented
554C11×M16—22no—
555C2×C8×C11—41no—
556C2×C8×C11C2411yescharacteristic
557C2×C8×C11C2411yescharacteristic
558C2×C8×C11C2411yescharacteristic
559C2×C8×C11C2411yescharacteristic
560C11×C4⋊C4—21no—
561C11×C4⋊C4—21no—
562C11×C4⋊C4—21no—
563C11×C4⋊C4C2×D411yescharacteristic
564C11×C4⋊C4C2×D411yescharacteristic
565C11×C4⋊C4C2411yescharacteristic
566C11×C4⋊C4C2411yescharacteristic
567C11×C4⋊C4C2411yescharacteristic
568C11×C4⋊C4C2411yescharacteristic
569C11×C22⋊C4—21no—
570C11×C22⋊C4—21no—
571C11×C22⋊C4—21no—
572C11×C22⋊C4—21no—
573C11×C22⋊C4—21no—
574C11×C22⋊C4—21no—
575C11×C22⋊C4—21no—
576C11×C22⋊C4C2×D411yescharacteristic
577C11×C22⋊C4C2×D411yescharacteristic
578C42×C11—21no—
579C42×C11—21no—
580C42×C11—21no—
581C42×C11C2411yescharacteristic
582C42×C11C2411yescharacteristic
583C22⋊Dic11—21no—
584C22⋊Dic11—21no—
585C22⋊Dic11—21no—
586C22⋊Dic11—21no—
587C22⋊Dic11—21no—
588C22⋊Dic11—21no—
589C22⋊Dic11—21no—
590C22⋊Dic11—21no—
591C22⋊Dic11—21no—
592C22⋊Dic11—21no—
593C22⋊Dic11—21no—
594C22⋊Dic11C2×D411yescharacteristic
595C22⋊Dic11C2×D411yescharacteristic
596#4326—41no—
597#4325—41no—
598#4324—22no—
599#4324—22no—
600#4324—22no—
601#4324—41no—
602#4324—41no—
603#4323—22no—
604(C2×D11)⋊C4—21no—
605(C2×D11)⋊C4—21no—
606(C2×D11)⋊C4—21no—
607(C2×D11)⋊C4—21no—
608(C2×D11)⋊C4—21no—
609(C2×D11)⋊C4—21no—
610(C2×D11)⋊C4—21no—
611(C2×D11)⋊C4—21no—
612(C2×D11)⋊C4—21no—
613(C2×D11)⋊C4—21no—
614(C2×D11)⋊C4—21no—
615(C2×D11)⋊C4—21no—
616(C2×D11)⋊C4—21no—
617(C2×D11)⋊C4—21no—
618(C2×D11)⋊C4C2×D411yescharacteristic
619(C2×D11)⋊C4C2×D411yescharacteristic
620(C2×D11)⋊C4C2×D411yescharacteristic
621(C2×D11)⋊C4C2×D411yescharacteristic
622(C2×D11)⋊C4C2×D411yescharacteristic
623(C2×D11)⋊C4C2×D411yescharacteristic
624C4⋊Dic11—21no—
625C4⋊Dic11—21no—
626C4⋊Dic11—21no—
627C4⋊Dic11—21no—
628C4⋊Dic11—21no—
629C4⋊Dic11—21no—
630C4⋊Dic11—21no—
631C4⋊Dic11C2×D411yescharacteristic
632C4⋊Dic11C2×D411yescharacteristic
633C4⋊Dic11C2411yescharacteristic
634C4⋊Dic11C2411yescharacteristic
635C4⋊Dic11C2411yescharacteristic
636C4⋊Dic11C2411yescharacteristic
637Dic11⋊C4—21no—
638Dic11⋊C4—21no—
639Dic11⋊C4—21no—
640Dic11⋊C4—21no—
641Dic11⋊C4—21no—
642Dic11⋊C4—21no—
643Dic11⋊C4—21no—
644Dic11⋊C4—21no—
645Dic11⋊C4—21no—
646Dic11⋊C4—21no—
647Dic11⋊C4—21no—
648Dic11⋊C4—21no—
649Dic11⋊C4—21no—
650Dic11⋊C4—21no—
651Dic11⋊C4—21no—
652Dic11⋊C4—21no—
653Dic11⋊C4—21no—
654Dic11⋊C4—21no—
655Dic11⋊C4—21no—
656Dic11⋊C4—21no—
657Dic11⋊C4—21no—
658Dic11⋊C4—21no—
659Dic11⋊C4C2×D411yescharacteristic
660Dic11⋊C4C2×D411yescharacteristic
661Dic11⋊C4C2×D411yescharacteristic
662Dic11⋊C4C2×D411yescharacteristic
663Dic11⋊C4C2×D411yescharacteristic
664Dic11⋊C4C2×D411yescharacteristic
665C4×Dic11—21no—
666C4×Dic11—21no—
667C4×Dic11—21no—
668C4×Dic11—21no—
669C4×Dic11—21no—
670C4×Dic11—21no—
671C4×Dic11—21no—
672C4×Dic11—21no—
673C4×Dic11—21no—
674C4×Dic11C2×D411yescharacteristic
675C4×Dic11C2×D411yescharacteristic
676C4×Dic11C2411yescharacteristic
677C4×Dic11C2411yescharacteristic
678C2×C11⋊C8C2411yescharacteristic
679C2×C11⋊C8C2411yescharacteristic
680C2×C11⋊C8C2411yescharacteristic
681C2×C11⋊C8C2411yescharacteristic
682Dic44—22no—
683Dic44—41no—
684#4314—22no—
685#4314—41no—
686#4313—22no—
687C8×D11—22no—
688C8×D11—41no—
689C8×D11—41no—
690#3515—111no—
691#3514—111no—
692#3400—111no—
693#3384—111no—
694#3361—111no—
695#3359—111no—
696#3356—111no—
697#3348—111no—
698#3348—111no—
699#3303—111no—
700#3303—111no—
701#3302—111no—
702#3296—111no—
703#3296—111no—
704#3295—111no—
705#3272—111no—
706#3267—111no—
707#3267—111no—
708#3178—111no—
709#3178—111no—
710#3167—111no—
711#3125—111no—
712#3125—111no—
713#3123—111no—
714#3123—111no—
715#3116—111no—
716#3115—111no—
717#2966—111no—
718#2946—111no—
719#2946D1111yescharacteristic, complemented
720C4×#135—111no—
721C23×C11—21no—
722C23×C11—21no—
723C23×C11—21no—
724C23×C11—42no—
725C23×C11—81no—
726C23×C11—81no—
727C23×C11C22×D411yescharacteristic
728C22×D11—21no—
729C22×D11—42no—
730C22×D11—81no—
731C22×D11—81no—
732C22×D11C22×D411yescharacteristic
733C22×D11C22×D411yescharacteristic
734Q8×C11—21no—
735Q8×C11—21no—
736D4×C11—21no—
737D4×C11—21no—
738D4×C11—21no—
739D4×C11—21no—
740D4×C11—42no—
741D4×C11—42no—
742D4×C11C2×#4112yes—
743D4×C11C2×#4112yes—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—42no—
752C2×C4×C11—81no—
753C2×C4×C11—81no—
754C2×C4×C11—81no—
755C2×C4×C11—81no—
756C2×C4×C11—81no—
757C2×C4×C11—81no—
758C2×C4×C11—81no—
759C2×C4×C11C22×D411yescharacteristic
760C2×C4×C11C22×D411yescharacteristic
761C2×C4×C11C22×D411yescharacteristic
762C2×C4×C11C22×D411yescharacteristic
763C2×C4×C11C22×D411yescharacteristic
764C2×C4×C11C2511yescharacteristic
765C22⋊D11—22no—
766C22⋊D11—41no—
767C22⋊D11—42no—
768C22⋊D11—42no—
769C22⋊D11—42no—
770C22⋊D11—42no—
771C22⋊D11—42no—
772C22⋊D11—81no—
773C22⋊D11—81no—
774C22⋊D11—81no—
775C22⋊D11—81no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—42no—
784C2×Dic11—42no—
785C2×Dic11—42no—
786C2×Dic11—42no—
787C2×Dic11—42no—
788C2×Dic11—81no—
789C2×Dic11—81no—
790C2×Dic11C22×D411yescharacteristic
791C2×Dic11C22×D411yescharacteristic
792C2×Dic11C22×D411yescharacteristic
793C2×Dic11C22×D411yescharacteristic
794C2×Dic11C22×D411yescharacteristic
795C2×Dic11C22×D411yescharacteristic
796D44—21no—
797D44—21no—
798D44—41no—
799D44—81no—
800C4×D11—21no—
801C4×D11—21no—
802C4×D11—21no—
803C4×D11—21no—
804C4×D11—22no—
805C4×D11—41no—
806C4×D11—81no—
807C4×D11—81no—
808C4×D11—81no—
809Dic22—22no—
810Dic22—21no—
811Dic22—21no—
812Dic22—21no—
813Dic22—21no—
814Dic22—21no—
815Dic22—21no—
816Dic22—42no—
817Dic22—81no—
818Dic22—81no—
819Dic22—81no—
820C8×C11—21no—
821C8×C11—21no—
822C8×C11—21no—
823C8×C11C2×#4112yes—
824C11⋊C8—21no—
825C11⋊C8—21no—
826C11⋊C8—21no—
827C11⋊C8—21no—
828C2×AGL(1,ℤ/8)—111no—
829C2×AGL(1,ℤ/8)C2×D1111yescharacteristic
830C2×#135—111no—
831#559—111no—
832#557—111no—
833#556—111no—
834#555—111no—
835#555—111no—
836#554—111no—
837#554—111no—
838#553—221no—
839#552—111no—
840#552—111no—
841#552—221no—
842#552—221no—
843#552—221no—
844#551—221no—
845#551—221no—
846D4×Q8—111no—
847#548—221no—
848#547—111no—
849#547—111no—
850#547—111no—
851#546—111no—
852#546—111no—
853#546—221no—
854D42—111no—
855#542—111no—
856#542—111no—
857#541—111no—
858#541—111no—
859#539—221no—
860#539—221no—
861#538—221no—
862#538—221no—
863#533—111no—
864#532—111no—
865#529—111no—
866#529—221no—
867#529—221no—
868C2×#125—221no—
869C2×#124—221no—
870#520—111no—
871#520C2×D1111yescharacteristic, complemented
872#518—111no—
873#518C2×D1111yescharacteristic
874C4×#41—111no—
875C4×#41—111no—
876#501—111no—
877#501—111no—
878#498—111no—
879#497—111no—
880#497—111no—
881#492—111no—
882#488—111no—
883#488—111no—
884#487—111no—
885#487—111no—
886#487—111no—
887#486—111no—
888#485—111no—
889#485—111no—
890#485—111no—
891#485—111no—
892#485—111no—
893#485—111no—
894#483—111no—
895#483—111no—
896#482—111no—
897#482—111no—
898#481—111no—
899#481—111no—
900#478—111no—
901#478—111no—
902#478—111no—
903#478—111no—
904#477—111no—
905#476—111no—
906#476—111no—
907#476—111no—
908#475—111no—
909#475—111no—
910#475—111no—
911#474—111no—
912#470—111no—
913#470—111no—
914#468—111no—
915#468—111no—
916#467—111no—
917#467—111no—
918#465—111no—
919#465—111no—
920#465—111no—
921#465—111no—
922#465—111no—
923#465—111no—
924#464—111no—
925#464—111no—
926#463—111no—
927#463—111no—
928#462—111no—
929#461—111no—
930#461—111no—
931#461—111no—
932#461—111no—
933#461—111no—
934#460—111no—
935#459—111no—
936#452—111no—
937#452—111no—
938#452—111no—
939#452—111no—
940#450—111no—
941#450—111no—
942#450—111no—
943#450—111no—
944#449—111no—
945#449—111no—
946#449—111no—
947#449—111no—
948#446—111no—
949C8×Q8—111no—
950#442—111no—
951#442—111no—
952#442C2×D1111yescharacteristic
953#442C2×D1111yescharacteristic, complemented
954#441—111no—
955#441—111no—
956#440—111no—
957#440—111no—
958#440—111no—
959#440—111no—
960#440C2×D1111yescharacteristic
961#440C2×D1111yescharacteristic, complemented
962C4×Q16—111no—
963C4×Q16—111no—
964C4×SD16—111no—
965C4×SD16—111no—
966C4×SD16—111no—
967C4×SD16—111no—
968C4×SD16—111no—
969C4×SD16—111no—
970C4×SD16—111no—
971C4×SD16—111no—
972C4×SD16C2×D1111yescharacteristic
973C4×SD16C2×D1111yescharacteristic, complemented
974C4×D8—111no—
975C4×D8—111no—
976C4×D8C2×D1111yescharacteristic
977C4×D8C2×D1111yescharacteristic, complemented
978#436—111no—
979#435—111no—
980#435—111no—
981C8×D4—111no—
982C8×D4—111no—
983C8×D4—111no—
984#433—111no—
985#433—111no—
986#432—111no—
987#428—111no—
988#428C2×D1111yescharacteristic, complemented
989#427—111no—
990#416—111no—
991#416—111no—
992#416—111no—
993#416C2×D1111yescharacteristic, complemented
994C2×#102—111no—
995C2×#102C2×D1111yescharacteristic
996#405—111no—
997#405C2×D1111yescharacteristic, complemented
998C2×C4×C8—111no—
999C22×C11—21no—
1000C22×C11—21no—
1001C22×C11—22no—
1002C22×C11—22no—
1003C22×C11—21no—
1004C22×C11—41no—
1005C22×C11—41no—
1006C22×C11—41no—
1007C22×C11—41no—
1008C22×C11—41no—
1009C22×C11—41no—
1010C22×C11—41no—
1011C22×C11—162no—
1012C22×C11C23×D411yescharacteristic
1013C2×D11—21no—
1014C2×D11—21no—
1015C2×D11—21no—
1016C2×D11—21no—
1017C2×D11—21no—
1018C2×D11—21no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—162no—
1023C4×C11—21no—
1024C4×C11—21no—
1025C4×C11—21no—
1026C4×C11—21no—
1027C4×C11—21no—
1028C4×C11—41no—
1029C4×C11—41no—
1030C4×C11—41no—
1031C4×C11—41no—
1032C4×C11—41no—
1033C4×C11C22×#4111yescharacteristic
1034C4×C11#58511yescharacteristic
1035Dic11—21no—
1036Dic11—21no—
1037Dic11—21no—
1038Dic11—21no—
1039Dic11—21no—
1040Dic11—41no—
1041Dic11—41no—
1042Dic11—41no—
1043Dic11—41no—
1044Dic11—41no—
1045Dic11—41no—
1046Dic11—41no—
1047Dic11#57712yes—
1048C2×#41—111no—
1049C2×#41—111no—
1050C2×#41—111no—
1051C2×#41—221no—
1052C2×#41C22×D1111yescharacteristic
1053C22×Q8—221no—
1054C22×D4—111no—
1055C22×D4—221no—
1056C22×D4C22×D1111yescharacteristic
1057AGL(1,ℤ/8)—24no—
1058AGL(1,ℤ/8)—224no—
1059#135—224no—
1060C2×Q16—111no—
1061C2×Q16—111no—
1062C2×Q16—111no—
1063C2×SD16—111no—
1064C2×SD16—111no—
1065C2×SD16—111no—
1066C2×SD16—111no—
1067C2×SD16—111no—
1068C2×SD16—111no—
1069C2×SD16—111no—
1070C2×SD16—111no—
1071C2×SD16C22×D1111yescharacteristic
1072C2×SD16C22×D1111yescharacteristic
1073C2×D8—111no—
1074C2×D8C22×D1111yescharacteristic
1075C2×D8C22×D1111yescharacteristic
1076C2×M16—111no—
1077C2×M16C22×D1111yescharacteristic
1078C22×C8—111no—
1079C22×C8—111no—
1080C22×C8—111no—
1081C22×C8C22×D1111yescharacteristic
1082C4⋊Q8—111no—
1083C4⋊Q8—111no—
1084C4⋊Q8—111no—
1085C4⋊Q8—111no—
1086C4⋊Q8—111no—
1087C4⋊Q8—111no—
1088C4⋊Q8—111no—
1089#127—111no—
1090#126—111no—
1091#126—111no—
1092#126—221no—
1093#126—221no—
1094#126—221no—
1095#126—221no—
1096#126—221no—
1097#126—221no—
1098#126—221no—
1099#126—221no—
1100#126—221no—
1101#126—221no—
1102#125—111no—
1103#125—111no—
1104#125—111no—
1105#125—221no—
1106#125—221no—
1107#125—221no—
1108#125—221no—
1109#125—221no—
1110#125—221no—
1111#125—221no—
1112#125—221no—
1113#125—221no—
1114#125—221no—
1115#125—221no—
1116#124—111no—
1117#124—111no—
1118#124—111no—
1119#124—221no—
1120#124—221no—
1121#124—221no—
1122#124—221no—
1123#124—221no—
1124#124—221no—
1125#124—221no—
1126#124—221no—
1127#124—221no—
1128#123—111no—
1129#123—111no—
1130#123—221no—
1131#123—221no—
1132#123—221no—
1133#123—221no—
1134#123—221no—
1135#123—221no—
1136#123—221no—
1137#123—221no—
1138#123—221no—
1139#123—221no—
1140#123—221no—
1141#123—221no—
1142#123—221no—
1143#123—221no—
1144C22⋊Q8—111no—
1145C22⋊Q8—111no—
1146C22⋊Q8—111no—
1147C22⋊Q8—111no—
1148C22⋊Q8—111no—
1149C22⋊Q8—111no—
1150C22⋊Q8—111no—
1151C22⋊Q8—111no—
1152C22⋊Q8—111no—
1153C22⋊Q8—221no—
1154C22⋊Q8—221no—
1155C22⋊Q8—221no—
1156C22⋊Q8—221no—
1157C22⋊Q8—221no—
1158C22⋊Q8—221no—
1159C22⋊Q8—221no—
1160C22⋊Q8—221no—
1161C22⋊Q8—221no—
1162C22⋊Q8—221no—
1163C22⋊Q8—221no—
1164#121—111no—
1165#121—111no—
1166#121—111no—
1167#121—111no—
1168#121—111no—
1169#121—221no—
1170#121—221no—
1171#121—221no—
1172#121—221no—
1173#121—221no—
1174#121—221no—
1175#121—221no—
1176#121—221no—
1177#121—221no—
1178#120—221no—
1179#120—221no—
1180#120—221no—
1181#120—221no—
1182C4×Q8—111no—
1183C4×Q8—111no—
1184C4×Q8—111no—
1185C4×Q8—111no—
1186C4×Q8—111no—
1187C4×Q8—111no—
1188C4×Q8—111no—
1189C4×Q8—221no—
1190C4×Q8—221no—
1191C4×Q8—221no—
1192C4×Q8C22×D1111yescharacteristic
1193C4×Q8C22×D1111yescharacteristic
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—111no—
1199C4×D4—111no—
1200C4×D4—111no—
1201C4×D4—111no—
1202C4×D4—111no—
1203C4×D4—111no—
1204C4×D4—111no—
1205C4×D4—111no—
1206C4×D4—111no—
1207C4×D4—221no—
1208C4×D4—221no—
1209C4×D4—221no—
1210C4×D4—221no—
1211C4×D4—221no—
1212C4×D4—221no—
1213C4×D4—221no—
1214C4×D4—221no—
1215C4×D4—221no—
1216C4×D4—221no—
1217C4×D4—221no—
1218C4×D4C22×D1111yescharacteristic
1219C4×D4C22×D1111yescharacteristic
1220C4×D4C22×D1111yescharacteristic
1221C4×D4C22×D1111yescharacteristic
1222C4×D4C22×D1111yescharacteristic
1223C4×D4C22×D1111yescharacteristic
1224#117—21no—
1225#117—111no—
1226#117—111no—
1227#117—111no—
1228#117—111no—
1229#117—221no—
1230#117—221no—
1231#117—221no—
1232#117—221no—
1233#117—221no—
1234#117—221no—
1235#117—221no—
1236#117—221no—
1237#117C22×D1111yescharacteristic
1238#117C22×D1111yescharacteristic
1239C2×C4⋊C4—21no—
1240C2×C4⋊C4—111no—
1241C2×C4⋊C4—221no—
1242C2×C4⋊C4—221no—
1243C2×C4⋊C4—221no—
1244C2×C4⋊C4—221no—
1245C2×C4⋊C4—221no—
1246C2×C4⋊C4C22×D1111yescharacteristic
1247C2×C22⋊C4—21no—
1248C2×C22⋊C4—21no—
1249C2×C22⋊C4—221no—
1250C2×C22⋊C4—221no—
1251C2×C22⋊C4—221no—
1252C2×C22⋊C4—221no—
1253C2×C42—111no—
1254C2×C42—221no—
1255C2×C42—221no—
1256#107—111no—
1257#107—111no—
1258#107—111no—
1259#107—111no—
1260#107C22×D1111yescharacteristic
1261#107C22×D1111yescharacteristic
1262#106—111no—
1263#106—111no—
1264#106—111no—
1265#106—111no—
1266#106—111no—
1267#106—111no—
1268#106—111no—
1269#106—111no—
1270#106C22×D1111yescharacteristic
1271#106C22×D1111yescharacteristic
1272C4⋊C8—111no—
1273C4⋊C8—111no—
1274C4⋊C8—111no—
1275C4⋊C8—111no—
1276C4⋊C8—111no—
1277C4⋊C8—111no—
1278#103—111no—
1279#103—111no—
1280#103—111no—
1281#103—111no—
1282#103—111no—
1283#103—111no—
1284#103—111no—
1285#103—111no—
1286#103—111no—
1287#103—111no—
1288#103—111no—
1289#103—111no—
1290#103—111no—
1291#103—111no—
1292#103C22×D1111yescharacteristic
1293#103C22×D1111yescharacteristic
1294#102—111no—
1295#102—111no—
1296#102—111no—
1297#102—111no—
1298#102—111no—
1299#102—111no—
1300#102—111no—
1301#102—111no—
1302#102—111no—
1303#102—111no—
1304#102C22×D1111yescharacteristic
1305#102C22×D1111yescharacteristic
1306#102C22×D1111yescharacteristic
1307#102C22×D1111yescharacteristic
1308#102C22×D1111yescharacteristic
1309#102C22×D1111yescharacteristic
1310C22⋊C8—111no—
1311C22⋊C8—111no—
1312C22⋊C8—111no—
1313C22⋊C8—111no—
1314C22⋊C8—111no—
1315C22⋊C8—111no—
1316#97—111no—
1317#97—111no—
1318#97C22×D1111yescharacteristic
1319#97C22×D1111yescharacteristic
1320C4×C8—111no—
1321C4×C8—111no—
1322C4×C8—111no—
1323C4×C8—111no—
1324C4×C8C22×D1111yescharacteristic
1325C4×C8C22×D1111yescharacteristic
1326C2×C11—42no—
1327C2×C11—41no—
1328C2×C11—42no—
1329C2×C11—81no—
1330C2×C11D4×#4111yescharacteristic
1331C2×C11C2×#57711yescharacteristic
1332C2×C11#358411yescharacteristic
1333D11—41no—
1334D11—41no—
1335D11—81no—
1336C24—21no—
1337C24—221no—
1338#41—22no—
1339#41—41no—
1340#41—222no—
1341#41—222no—
1342#41—222no—
1343#41—441no—
1344#41—441no—
1345#41—441no—
1346#41—882no—
1347C2×Q8—111no—
1348C2×Q8—111no—
1349C2×Q8—111no—
1350C2×Q8—111no—
1351C2×Q8—221no—
1352C2×Q8—221no—
1353C2×Q8—221no—
1354C2×Q8—221no—
1355C2×Q8—882no—
1356C2×Q8C23×D1111yescharacteristic
1357C2×D4—22no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—41no—
1361C2×D4—111no—
1362C2×D4—111no—
1363C2×D4—111no—
1364C2×D4—111no—
1365C2×D4—221no—
1366C2×D4—221no—
1367C2×D4—221no—
1368C2×D4—221no—
1369C2×D4—222no—
1370C2×D4—221no—
1371C2×D4—221no—
1372C2×D4—221no—
1373C2×D4—221no—
1374C2×D4—221no—
1375C2×D4—221no—
1376C2×D4—441no—
1377C2×D4—882no—
1378C2×D4C23×D1111yescharacteristic
1379C2×D4C23×D1111yescharacteristic
1380C2×D4C23×D1111yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—111no—
1390C22×C4—111no—
1391C22×C4—111no—
1392C22×C4—111no—
1393C22×C4—221no—
1394C22×C4—221no—
1395C22×C4—221no—
1396C22×C4—221no—
1397C22×C4—221no—
1398C22×C4—221no—
1399C22×C4—221no—
1400C22×C4—221no—
1401C22×C4—221no—
1402C22×C4—221no—
1403C22×C4C23×D1111yescharacteristic
1404Q16—222no—
1405Q16—441no—
1406Q16—441no—
1407SD16—22no—
1408SD16—22no—
1409SD16—222no—
1410SD16—222no—
1411SD16—222no—
1412SD16—222no—
1413SD16—441no—
1414SD16—441no—
1415SD16—441no—
1416SD16—441no—
1417D8—22no—
1418D8—222no—
1419D8#433914yescomplemented
1420M16—22no—
1421M16—222no—
1422C2×C8—41no—
1423C2×C8—111no—
1424C2×C8—111no—
1425C2×C8—111no—
1426C2×C8—111no—
1427C2×C8—222no—
1428C2×C8—441no—
1429C2×C8—441no—
1430C2×C8C23×D1111yescharacteristic
1431C2×C8C23×D1111yescharacteristic
1432C2×C8C23×D1111yescharacteristic
1433C2×C8C23×D1111yescharacteristic
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—111no—
1438C4⋊C4—111no—
1439C4⋊C4—111no—
1440C4⋊C4—111no—
1441C4⋊C4—111no—
1442C4⋊C4—111no—
1443C4⋊C4—111no—
1444C4⋊C4—111no—
1445C4⋊C4—111no—
1446C4⋊C4—111no—
1447C4⋊C4—111no—
1448C4⋊C4—111no—
1449C4⋊C4—221no—
1450C4⋊C4—221no—
1451C4⋊C4—221no—
1452C4⋊C4—221no—
1453C4⋊C4—221no—
1454C4⋊C4—221no—
1455C4⋊C4—221no—
1456C4⋊C4—221no—
1457C4⋊C4—221no—
1458C4⋊C4—221no—
1459C4⋊C4—221no—
1460C4⋊C4—221no—
1461C4⋊C4—221no—
1462C4⋊C4—221no—
1463C4⋊C4—221no—
1464C4⋊C4—221no—
1465C4⋊C4—221no—
1466C4⋊C4—221no—
1467C4⋊C4—221no—
1468C4⋊C4—221no—
1469C4⋊C4—221no—
1470C4⋊C4—221no—
1471C4⋊C4—221no—
1472C4⋊C4—221no—
1473C4⋊C4—221no—
1474C4⋊C4—221no—
1475C4⋊C4—221no—
1476C4⋊C4—221no—
1477C4⋊C4—221no—
1478C4⋊C4D4×D1111yescharacteristic
1479C4⋊C4D4×D1111yescharacteristic
1480C4⋊C4C23×D1111yescharacteristic
1481C4⋊C4C23×D1111yescharacteristic
1482C4⋊C4C23×D1111yescharacteristic
1483C4⋊C4C23×D1111yescharacteristic
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—111no—
1492C22⋊C4—111no—
1493C22⋊C4—111no—
1494C22⋊C4—111no—
1495C22⋊C4—111no—
1496C22⋊C4—111no—
1497C22⋊C4—111no—
1498C22⋊C4—111no—
1499C22⋊C4—221no—
1500C22⋊C4—221no—
1501C22⋊C4—221no—
1502C22⋊C4—221no—
1503C22⋊C4—221no—
1504C22⋊C4—221no—
1505C22⋊C4—221no—
1506C22⋊C4—221no—
1507C22⋊C4—221no—
1508C22⋊C4—221no—
1509C22⋊C4—221no—
1510C22⋊C4—221no—
1511C22⋊C4—221no—
1512C22⋊C4—221no—
1513C22⋊C4—221no—
1514C22⋊C4—221no—
1515C22⋊C4—221no—
1516C22⋊C4—221no—
1517C22⋊C4—221no—
1518C22⋊C4—221no—
1519C22⋊C4—221no—
1520C22⋊C4—221no—
1521C22⋊C4—221no—
1522C22⋊C4—221no—
1523C22⋊C4—221no—
1524C22⋊C4D4×D1111yescharacteristic
1525C22⋊C4D4×D1111yescharacteristic
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—111no—
1530C42—111no—
1531C42—111no—
1532C42—111no—
1533C42—221no—
1534C42—221no—
1535C42—221no—
1536C42—221no—
1537C42—221no—
1538C42—221no—
1539C42—221no—
1540C42—221no—
1541C42—221no—
1542C42C23×D1111yescharacteristic
1543C42C23×D1111yescharacteristic
1544C11#6149311yescharacteristic, complemented, Sylow
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—81no—
1550C23—81no—
1551C23—111no—
1552C23—111no—
1553C23—221no—
1554C23—442no—
1555C23—881no—
1556C23—881no—
1557C23C2×D4×D1111yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—222no—
1561Q8—221no—
1562Q8—221no—
1563Q8—221no—
1564Q8—221no—
1565Q8—221no—
1566Q8—221no—
1567Q8—442no—
1568Q8—881no—
1569Q8—881no—
1570Q8—881no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—42no—
1576D4—42no—
1577D4—222no—
1578D4—221no—
1579D4—221no—
1580D4—441no—
1581D4—442no—
1582D4—441no—
1583D4—442no—
1584D4—442no—
1585D4—442no—
1586D4—442no—
1587D4—881no—
1588D4—881no—
1589D4—881no—
1590D4—881no—
1591D4—881no—
1592D4C2×#433912yes—
1593D4C2×#433912yes—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—42no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—81no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—111no—
1610C2×C4—111no—
1611C2×C4—111no—
1612C2×C4—111no—
1613C2×C4—111no—
1614C2×C4—111no—
1615C2×C4—222no—
1616C2×C4—221no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—441no—
1628C2×C4—442no—
1629C2×C4—442no—
1630C2×C4—442no—
1631C2×C4—442no—
1632C2×C4—442no—
1633C2×C4—881no—
1634C2×C4—881no—
1635C2×C4—881no—
1636C2×C4—881no—
1637C2×C4—881no—
1638C2×C4C2×D4×D1111yescharacteristic
1639C2×C4C2×D4×D1111yescharacteristic
1640C2×C4C2×D4×D1111yescharacteristic
1641C2×C4C2×D4×D1111yescharacteristic
1642C2×C4C2×D4×D1111yescharacteristic
1643C2×C4C24×D1111yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—221no—
1648C8—221no—
1649C8—221no—
1650C8—221no—
1651C8C2×#433912yes—
1652C22—21no—
1653C22—21no—
1654C22—22no—
1655C22—22no—
1656C22—21no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—162no—
1665C22—221no—
1666C22—221no—
1667C22—221no—
1668C22—221no—
1669C22—221no—
1670C22—221no—
1671C22—441no—
1672C22—441no—
1673C22—441no—
1674C22—1762no—
1675C22C22×D4×D1111yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—112no—
1687C4—221no—
1688C4—221no—
1689C4—221no—
1690C4—221no—
1691C4—221no—
1692C4—441no—
1693C4—441no—
1694C4—441no—
1695C4—441no—
1696C4—441no—
1697C4—441no—
1698C4—441no—
1699C4C22×#433911yescharacteristic
1700C4#1062345311yescharacteristic
1701C2—41no—
1702C2—42no—
1703C2—42no—
1704C2—81no—
1705C2—441no—
1706C2—441no—
1707C2—881no—
1708C2D4×#433911yescharacteristic
1709C2D11×#57711yescharacteristic
1710C2#1308338411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#2946C2
socleC22×C11C23×D4
hypercenter#2946D11
hypocenterC11#61493
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #2946

Complements

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

NH ≅ G/Ntype
1. #13082584C2semidirect
2. #13082567C2semidirect
3. #13081670C2semidirect
4. #13081516C2semidirect
5. #13081277C2semidirect
6. #13081256C2semidirect
7. #13081227C2semidirect
8. #13081136C2semidirect
9. #13081132C2semidirect
10. #13080546C2semidirect
11. #13080540C2semidirect
12. #13080529C2semidirect
13. #13080456C2semidirect
14. #13080447C2semidirect
15. #13080436C2semidirect
16. #13080210C2semidirect
17. #13080143C2semidirect
18. #13080135C2semidirect
19. #13079284C2semidirect
20. #13079280C2semidirect
21. #13079172C2semidirect
22. #13078897C2semidirect
23. #13078893C2semidirect
24. #13078868C2semidirect
25. #13078867C2semidirect
26. #13078774C2semidirect
27. #13078763C2semidirect
28. #13077587C2semidirect
29. #13077441C2semidirect
30. C4×#66965C2semidirect
31. C11×#2946C2semidirect
33. C11×#520C22semidirect
36. #10623355C22semidirect
41. #10623114C22semidirect
42. #10623112C22semidirect
43. #10623109C22semidirect
44. #10623098C22semidirect
51. #10623086C22semidirect
55. #10623077C22semidirect
59. #10623070C22semidirect
64. C4×#4341C22semidirect
71. #10623049C22semidirect
73. #10623044C22semidirect
81. C11×#442C22semidirect
83. C11×#440C22semidirect
85. C4×C11×SD16C22semidirect
87. C4×C11×D8C22semidirect
88. C11×#428C22semidirect
89. C11×#416C22semidirect
91. C11×#405C22semidirect
92. #10622852C22semidirect
99. #10622784C22semidirect
101. #10622780C22semidirect
105. #10622771C22semidirect
106. #10622766C22semidirect
110. #10622750C22semidirect
113. #10622740C22semidirect
114. #10622729C22semidirect
117. C8×C22⋊D11C22semidirect
118. #10622643C22semidirect
119. #10622641C22semidirect
120. C4×#4325C22semidirect
121. #10622633C22semidirect
123. #10622632C22semidirect
125. #10622631C22semidirect
127. C4×#4324C22semidirect
128. C4×#4324C22semidirect
129. #10622629C22semidirect
130. #10622627C22semidirect
132. #10622622C22semidirect
133. #10622621C22semidirect
134. #10622613C22semidirect
135. #10622609C22semidirect
136. #10622609C22semidirect
137. #10622584C22semidirect
139. #10622504C22semidirect
140. #10622502C22semidirect
141. #10622501C22semidirect
142. #10622501C22semidirect
143. #10622494C22semidirect
144. #10622493C22semidirect
145. #10622488C22semidirect
146. #10622486C22semidirect
147. #10622481C22semidirect
148. #10622479C22semidirect
149. #10622477C22semidirect
150. #10622475C22semidirect
151. #10622469C22semidirect
152. #10622468C22semidirect
153. #10622467C22semidirect
154. #10622467C22semidirect
155. #10622431C22semidirect
156. #10622428C22semidirect
157. #10622427C22semidirect
158. #10622426C22semidirect
159. #10622420C22semidirect
160. #10622406C22semidirect
161. #10622405C22semidirect
162. #10622405C22semidirect
163. #10622397C22semidirect
165. #10622396C22semidirect
166. #10622394C22semidirect
168. #10622391C22semidirect
172. #10622385C22semidirect
173. #10622385C22semidirect
175. #10622381C22semidirect
176. #10622380C22semidirect
180. #10622374C22semidirect
182. #10622372C22semidirect
185. #10622371C22semidirect
186. #10622369C22semidirect
187. #10622329C22semidirect
188. #10622328C22semidirect
189. #10622323C22semidirect
190. #10622322C22semidirect
191. #10622319C22semidirect
192. #10622318C22semidirect
193. #10622315C22semidirect
194. #10622314C22semidirect
195. C4×Dic44C22semidirect
196. #10622310C22semidirect
197. C4×#4314C22semidirect
198. #10622302C22semidirect
199. C8×D44C22semidirect
200. C4×C8×D11C22semidirect
201. #10622294C22semidirect
202. C8×Dic22C22semidirect
553. C11×D8#41semidirect
719. #2946D11semidirect
871. #520C2×D11semidirect
953. #442C2×D11semidirect
961. #440C2×D11semidirect
973. C4×SD16C2×D11semidirect
977. C4×D8C2×D11semidirect
988. #428C2×D11semidirect
993. #416C2×D11semidirect
997. #405C2×D11semidirect
1419. D8#4339semidirect
1544. C11#61493semidirect

Maximal subgroups

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

subgroupindex
#130825842
#130825672
#130816702
#130815162
#130812772
#130812562
#130812272
#130811362
#130811322
#130805462
#130805402
#130805292
#130804562
#130804472
#130804362
#130802102
#130801432
#130801352
#130792842
#130792802
#130791722
#130788972
#130788932
#130788682
#130788672
#130787742
#130787632
#130775872
#130774412
C4×#669652
C11×#29462
#6149311