Finite Group Databasebeta

← #15636651

Subgroups — #15636651

Order 2816.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082616C211yesmaximal, characteristic, complemented
2#13082567C211yesmaximal, characteristic, complemented
3#13081659C211yesmaximal, characteristic, complemented
4#13081538C211yesmaximal, characteristic, complemented
5#13081313C211yesmaximal, characteristic, complemented
6#13081249C211yesmaximal, characteristic, complemented
7#13081196C211yesmaximal, characteristic, complemented
8#13081121C211yesmaximal, characteristic, complemented
9#13081117C211yesmaximal, characteristic, complemented
10#13080568C211yesmaximal, characteristic, complemented
11#13080562C211yesmaximal, characteristic, complemented
12#13080551C211yesmaximal, characteristic, complemented
13#13080471C211yesmaximal, characteristic, complemented
14#13080462C211yesmaximal, characteristic, complemented
15#13080425C211yesmaximal, characteristic, complemented
16#13080230C211yesmaximal, characteristic, complemented
17#13080158C211yesmaximal, characteristic, complemented
18#13080150C211yesmaximal, characteristic, complemented
19#13079303C211yesmaximal, characteristic, complemented
20#13079299C211yesmaximal, characteristic, complemented
21#13079192C211yesmaximal, characteristic, complemented
22#13078878C211yesmaximal, characteristic, complemented
23#13078876C211yesmaximal, characteristic, complemented
24#13078859C211yesmaximal, characteristic, complemented
25#13078858C211yesmaximal, characteristic, complemented
26#13078765C211yesmaximal, characteristic, complemented
27#13078763C211yesmaximal, characteristic, complemented
28#13077587C211yesmaximal, characteristic, complemented
29#13077443C211yesmaximal, characteristic, complemented
30C4×#66969C211yesmaximal, characteristic, complemented
31C11×#2946C211yesmaximal, characteristic, complemented
32C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
33C11×#520C2211yescharacteristic, complemented
34C11×#518C2211yescharacteristic
35#10623365C2211yescharacteristic
36#10623365C2211yescharacteristic, complemented
37#10623337C2211yescharacteristic
38D4×C22⋊D11C2211yescharacteristic
39C2×#66969C2211yescharacteristic
40C2×#66967C2211yescharacteristic
41#10623108C2211yescharacteristic, complemented
42#10623105C2211yescharacteristic, complemented
43C4×#4343C2211yescharacteristic, complemented
44#10623100C2211yescharacteristic, complemented
45#10623094C2211yescharacteristic
46#10623093—21no—
47#10623093C2211yescharacteristic, complemented
48#10623092C2211yescharacteristic
49#10623091—21no—
50#10623090C2211yescharacteristic
51#10623089—21no—
52#10623089C2211yescharacteristic, complemented
53#10623087—21no—
54#10623085C2211yescharacteristic
55#10623084—21no—
56#10623084C2211yescharacteristic, complemented
57#10623083—21no—
58#10623079—21no—
59#10623079C2211yescharacteristic
60#10623079C2211yescharacteristic, complemented
61#10623076C2211yescharacteristic
62#10623069—21no—
63D4×Dic22C2211yescharacteristic
64C4×#4341C2211yescharacteristic
65#10623066—21no—
66#10623066C2211yescharacteristic, complemented
67#10623065C2211yescharacteristic
68#10623064C2211yescharacteristic
69#10623063C2211yescharacteristic
70#10623059—21no—
71#10623059C2211yescharacteristic
72#10623045—21no—
73#10623045C2211yescharacteristic, complemented
74#10623038—21no—
75#10623038C2211yescharacteristic
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#10622830C2211yescharacteristic
95#10622830C2211yescharacteristic
96#10622785C2211yescharacteristic
97#10622785C2211yescharacteristic, complemented
98#10622779C2211yescharacteristic, complemented
99#10622777C2211yescharacteristic
100#10622776C2211yescharacteristic
101SD16×Dic11C2211yescharacteristic
102#10622772C2211yescharacteristic
103#10622771C2211yescharacteristic
104#10622770C2211yescharacteristic, complemented
105#10622769C2211yescharacteristic
106#10622767C2211yescharacteristic, complemented
107#10622764C2211yescharacteristic
108#10622763C2211yescharacteristic
109#10622763C2211yescharacteristic
110#10622748C2211yescharacteristic
111#10622747C2211yescharacteristic, complemented
112#10622741C2211yescharacteristic
113#10622740C2211yescharacteristic, complemented
114#10622728C2211yescharacteristic
115#10622727C2211yescharacteristic, complemented
116C8×C22⋊D11C2211yescharacteristic
117C8×C22⋊D11C2211yescharacteristic, complemented
118C4×#4326C2211yescharacteristic, complemented
119#10622641C2211yescharacteristic, complemented
120#10622639C2211yescharacteristic, complemented
121#10622634C2211yescharacteristic, complemented
122#10622631C2211yescharacteristic, complemented
123#10622629C2211yescharacteristic, complemented
124#10622628C2211yescharacteristic
125#10622628C2211yescharacteristic, complemented
126#10622627C2211yescharacteristic
127#10622627C2211yescharacteristic, complemented
128C4×#4323C2211yescharacteristic
129C4×#4323C2211yescharacteristic, complemented
130C4×#4323C2211yescharacteristic, complemented
131#10622622C2211yescharacteristic
132#10622622C2211yescharacteristic, complemented
133#10622620C2211yescharacteristic, complemented
134#10622616C2211yescharacteristic, complemented
135#10622616C2211yescharacteristic, complemented
136#10622613C2211yescharacteristic, complemented
137#10622583C2211yescharacteristic, complemented
138#10622580C2211yescharacteristic
139#10622503C2211yescharacteristic, complemented
140#10622503C2211yescharacteristic, complemented
141#10622499C2211yescharacteristic, complemented
142#10622498C2211yescharacteristic, complemented
143#10622497C2211yescharacteristic, complemented
144#10622496C2211yescharacteristic, complemented
145#10622489C2211yescharacteristic, complemented
146#10622487C2211yescharacteristic, complemented
147#10622484C2211yescharacteristic, complemented
148#10622482C2211yescharacteristic, complemented
149#10622479C2211yescharacteristic, complemented
150#10622479C2211yescharacteristic, complemented
151#10622474C2211yescharacteristic, complemented
152#10622473C2211yescharacteristic, complemented
153#10622467C2211yescharacteristic, complemented
154#10622465C2211yescharacteristic, complemented
155#10622424C2211yescharacteristic, complemented
156#10622423C2211yescharacteristic, complemented
157#10622417C2211yescharacteristic, complemented
158#10622417C2211yescharacteristic, complemented
159#10622407C2211yescharacteristic, complemented
160#10622404C2211yescharacteristic, complemented
161#10622403C2211yescharacteristic, complemented
162#10622401C2211yescharacteristic, complemented
163#10622400C2211yescharacteristic, complemented
164#10622399C2211yescharacteristic
165#10622399C2211yescharacteristic, complemented
166#10622397C2211yescharacteristic, complemented
167#10622394C2211yescharacteristic
168#10622392C2211yescharacteristic, complemented
169#10622392C2211yescharacteristic, complemented
170#10622391C2211yescharacteristic, complemented
171#10622388C2211yescharacteristic
172#10622388C2211yescharacteristic, complemented
173#10622388C2211yescharacteristic, complemented
174#10622387C2211yescharacteristic
175#10622386C2211yescharacteristic
176#10622385C2211yescharacteristic
177D11×#102C2211yescharacteristic
178#10622381C2211yescharacteristic, complemented
179#10622376C2211yescharacteristic
180#10622375C2211yescharacteristic, complemented
181#10622373C2211yescharacteristic
182#10622373C2211yescharacteristic, complemented
183#10622373C2211yescharacteristic, complemented
184#10622372C2211yescharacteristic
185#10622369C2211yescharacteristic
186#10622369C2211yescharacteristic
187#10622325C2211yescharacteristic, complemented
188#10622324C2211yescharacteristic, complemented
189#10622323C2211yescharacteristic, complemented
190#10622322C2211yescharacteristic, complemented
191#10622319C2211yescharacteristic, complemented
192#10622318C2211yescharacteristic, complemented
193#10622315C2211yescharacteristic, complemented
194#10622314C2211yescharacteristic, complemented
195#10622310C2211yescharacteristic, complemented
196#10622307C2211yescharacteristic, complemented
197C4×D88C2211yescharacteristic, complemented
198C4×#4314C2211yescharacteristic, complemented
199#10622302C2211yescharacteristic, complemented
200C8×D44C2211yescharacteristic, complemented
201C4×C8×D11C2211yescharacteristic, complemented
202C8×Dic22C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C2×#4343C2311yescharacteristic
207C2×#4343C2311yescharacteristic
208C2×#4341C2311yescharacteristic
209C2×D4×D11C2311yescharacteristic
210C2×#4339—21no—
211C2×#4339—21no—
212C2×#4339—21no—
213C2×#4339—21no—
214C22×Dic22—21no—
215C11×AGL(1,ℤ/8)—24no—
216C2×C11×SD16C2311yescharacteristic
217C2×C11×SD16C2311yescharacteristic
218C2×C11×D8C2311yescharacteristic
219C2×C11×D8C2311yescharacteristic
220C2×C11×M16C2311yescharacteristic
221C22×C8×C11C2311yescharacteristic
222C4×Q8×C11C2311yescharacteristic
223C4×Q8×C11C2311yescharacteristic
224C4×D4×C11—21no—
225C4×D4×C11—21no—
226C4×D4×C11—21no—
227C4×D4×C11—21no—
228C4×D4×C11C2311yescharacteristic
229C4×D4×C11C2311yescharacteristic
230C4×D4×C11C2311yescharacteristic
231C4×D4×C11C2311yescharacteristic
232C4×D4×C11C2311yescharacteristic
233C4×D4×C11C2311yescharacteristic
234C11×#117—21no—
235C11×#117C2311yescharacteristic
236C11×#117C2311yescharacteristic
237C2×C11×C4⋊C4—21no—
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4—21no—
240C2×C11×C22⋊C4—21no—
241#67006—21no—
242#67006—21no—
243C2×C22⋊Dic11—21no—
244Q8×Dic11C2311yescharacteristic
245Q8×Dic11C2311yescharacteristic
246C2×#4326C2311yescharacteristic
247C2×#4325C2311yescharacteristic
248#66993—21no—
249#66993—21no—
250#66993C2311yescharacteristic
251#66993C2311yescharacteristic
252#66993C2311yescharacteristic
253#66992—21no—
254#66992—21no—
255#66991—21no—
256#66991—21no—
257#66991C2311yescharacteristic
258#66991C2311yescharacteristic
259#66991C2311yescharacteristic
260#66991C2311yescharacteristic
261#66990—21no—
262#66989C2311yescharacteristic
263#66988—21no—
264D4×Dic11C2311yescharacteristic
265D4×Dic11C2311yescharacteristic
266C2×#4324C2311yescharacteristic
267C2×#4323C2311yescharacteristic
268C2×#4323C2311yescharacteristic
269C2×#4323C2311yescharacteristic
270C2×#4323C2311yescharacteristic
271C2×#4323C2311yescharacteristic
272#66983—21no—
273#66983—21no—
274#66983—21no—
275#66983—21no—
276#66983—21no—
277#66983—21no—
278#66983—21no—
279#66983C2311yescharacteristic
280#66983C2311yescharacteristic
281#66983C2311yescharacteristic
282#66982—21no—
283#66982—21no—
284#66982—21no—
285#66982—21no—
286#66982—21no—
287C4×C22⋊D11—21no—
288C4×C22⋊D11—21no—
289C4×C22⋊D11—21no—
290C4×C22⋊D11—21no—
291C4×C22⋊D11—21no—
292C4×C22⋊D11—21no—
293C4×C22⋊D11—21no—
294C4×C22⋊D11—21no—
295C4×C22⋊D11—21no—
296C4×C22⋊D11C2311yescharacteristic
297C4×C22⋊D11C2311yescharacteristic
298C2×(C2×D11)⋊C4—21no—
299C2×(C2×D11)⋊C4—21no—
300#66979—21no—
301#66977—21no—
302#66977—21no—
303#66977C2311yescharacteristic
304C2×C4×Dic11—21no—
305#66969—24no—
306#66967—24no—
307C2×D88C2311yescharacteristic
308C2×D88C2311yescharacteristic
309C2×#4314C2311yescharacteristic
310C2×#4314C2311yescharacteristic
311C2×#4313C2311yescharacteristic
312C2×C8×D11C2311yescharacteristic
313C2×C8×D11C2311yescharacteristic
314C2×C8×D11C2311yescharacteristic
315#66951—21no—
316#66951—21no—
317#66951D411yescharacteristic
318#66950C2311yescharacteristic
319#66949—21no—
320#66949—21no—
321#66949D411yescharacteristic
322#66948—21no—
323#66948—21no—
324#66948C2311yescharacteristic
325#66948C2311yescharacteristic
326#66948C2311yescharacteristic
327#66947—21no—
328#66947—21no—
329#66947—21no—
330#66947—21no—
331#66947D411yescharacteristic
332#66946—21no—
333#66946—21no—
334#66946C2311yescharacteristic
335#66946C2311yescharacteristic
336#66946C2311yescharacteristic
337#66945—21no—
338#66945C2311yescharacteristic
339#66945C2311yescharacteristic
340#66945C2311yescharacteristic
341C4⋊C4×D11—21no—
342C4⋊C4×D11C2311yescharacteristic
343#66943—21no—
344#66943C2311yescharacteristic
345#66942D411yescharacteristic
346#66941—21no—
347#66941C2311yescharacteristic
348#66941C2311yescharacteristic
349#66941C2311yescharacteristic
350#66940C2311yescharacteristic
351#66939—21no—
352#66938—21no—
353#66938—21no—
354#66938—21no—
355#66938—21no—
356#66938—21no—
357#66938—21no—
358#66938—21no—
359#66938—21no—
360#66938—21no—
361#66938D411yescharacteristic
362#66937—21no—
363#66937—21no—
364#66937—21no—
365#66937—21no—
366#66937—21no—
367#66937—21no—
368#66937—21no—
369#66937—21no—
370#66937—21no—
371#66937D411yescharacteristic
372#66936—21no—
373#66936—21no—
374#66936—21no—
375#66936D411yescharacteristic
376#66935—21no—
377(C22⋊D11)⋊C4—21no—
378(C22⋊D11)⋊C4—21no—
379C22⋊C4×D11—21no—
380#66932—21no—
381#66932—21no—
382#66932—21no—
383#66932D411yescharacteristic
384#66931—21no—
385#66931—21no—
386#66930—21no—
387#66929—21no—
388#66928—21no—
389#66928C2311yescharacteristic
390#66927—21no—
391#66927C2311yescharacteristic
392C4×D44—21no—
393C4×D44—21no—
394C4×D44—21no—
395C4×D44C2311yescharacteristic
396C4×D44C2311yescharacteristic
397C4×D44C2311yescharacteristic
398C4×D44C2311yescharacteristic
399#66925—21no—
400#66925—21no—
401#66925C2311yescharacteristic
402C42×D11—21no—
403C42×D11C2311yescharacteristic
404#66923—21no—
405#66923C2311yescharacteristic
406#66922C2311yescharacteristic
407C4×Dic22—21no—
408C4×Dic22—21no—
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#66885C2311yescharacteristic
440#66885C2311yescharacteristic
441#66885C2311yescharacteristic
442#66885C2311yescharacteristic
443(C2×D11)⋊C8C2311yescharacteristic
444(C2×D11)⋊C8C2311yescharacteristic
445(C2×D11)⋊C8C2311yescharacteristic
446(C2×D11)⋊C8C2311yescharacteristic
447#66882C2311yescharacteristic
448#66882C2311yescharacteristic
449#66881C2311yescharacteristic
450#66881C2311yescharacteristic
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#66873C2311yescharacteristic
464#66873C2311yescharacteristic
465#66873C2311yescharacteristic
466#66873C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66872C2311yescharacteristic
470#66872C2311yescharacteristic
471#66871C2311yescharacteristic
472#66871C2311yescharacteristic
473#66871C2311yescharacteristic
474#66871C2311yescharacteristic
475#66871C2311yescharacteristic
476#66871C2311yescharacteristic
477C4⋊(C11⋊C8)C2311yescharacteristic
478C4⋊(C11⋊C8)C2311yescharacteristic
479#66867C2311yescharacteristic
480C4×C11⋊C8C2311yescharacteristic
481#61494—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—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—82no—
519C2×C22⋊D11C2×D411yescharacteristic
520C2×C22⋊D11C2×D411yescharacteristic
521C22×Dic11—21no—
522C22×Dic11—21no—
523C22×Dic11—21no—
524#4343—22no—
525#4343—22no—
526#4343—41no—
527#4343—41no—
528#4341—22no—
529#4341—41no—
530D4×D11—22no—
531D4×D11—41no—
532#4339—82no—
533#4339—82no—
534#4339—82no—
535#4339—82no—
536C2×D44—21no—
537C2×D44—21no—
538C2×D44—21no—
539C2×D44—21no—
540C2×D44—21no—
541C2×D44—21no—
542C2×D44—21no—
543C2×D44C2×D411yescharacteristic
544C2×D44C2411yescharacteristic
545C2×D44C2411yescharacteristic
546C2×D44C2411yescharacteristic
547C2×C4×D11—21no—
548C2×C4×D11—21no—
549C2×C4×D11—21no—
550C2×C4×D11—21no—
551C2×C4×D11—21no—
552C2×C4×D11—21no—
553C2×C4×D11—21no—
554C2×C4×D11—21no—
555C2×C4×D11—21no—
556C2×C4×D11C2×D411yescharacteristic
557C2×C4×D11C2×D411yescharacteristic
558C2×C4×D11C2411yescharacteristic
559C2×C4×D11C2411yescharacteristic
560C2×Dic22—21no—
561C2×Dic22—21no—
562C2×Dic22—21no—
563C2×Dic22—21no—
564C2×Dic22—82no—
565C2×Dic22C2×D411yescharacteristic
566C2×Dic22C2411yescharacteristic
567C11×SD16—22no—
568C11×SD16#4114yescomplemented
569C11×D8—22no—
570C11×D8—22no—
571C11×M16—22no—
572C2×C8×C11—41no—
573C2×C8×C11C2411yescharacteristic
574C2×C8×C11C2411yescharacteristic
575C2×C8×C11C2411yescharacteristic
576C2×C8×C11C2411yescharacteristic
577C11×C4⋊C4—21no—
578C11×C4⋊C4—21no—
579C11×C4⋊C4—21no—
580C11×C4⋊C4C2×D411yescharacteristic
581C11×C4⋊C4C2×D411yescharacteristic
582C11×C4⋊C4C2411yescharacteristic
583C11×C4⋊C4C2411yescharacteristic
584C11×C4⋊C4C2411yescharacteristic
585C11×C4⋊C4C2411yescharacteristic
586C11×C22⋊C4—21no—
587C11×C22⋊C4—21no—
588C11×C22⋊C4—21no—
589C11×C22⋊C4—21no—
590C11×C22⋊C4—21no—
591C11×C22⋊C4—21no—
592C11×C22⋊C4—21no—
593C11×C22⋊C4C2×D411yescharacteristic
594C11×C22⋊C4C2×D411yescharacteristic
595C42×C11—21no—
596C42×C11—21no—
597C42×C11—21no—
598C42×C11C2411yescharacteristic
599C42×C11C2411yescharacteristic
600C22⋊Dic11—21no—
601C22⋊Dic11—21no—
602C22⋊Dic11—21no—
603C22⋊Dic11—21no—
604C22⋊Dic11—21no—
605C22⋊Dic11—21no—
606C22⋊Dic11—21no—
607C22⋊Dic11—21no—
608C22⋊Dic11—21no—
609C22⋊Dic11C2×D411yescharacteristic
610C22⋊Dic11C2×D411yescharacteristic
611#4326—22no—
612#4325—22no—
613#4324—41no—
614#4323—22no—
615#4323—22no—
616#4323—41no—
617#4323—41no—
618#4323—41no—
619(C2×D11)⋊C4—21no—
620(C2×D11)⋊C4—21no—
621(C2×D11)⋊C4—21no—
622(C2×D11)⋊C4—21no—
623(C2×D11)⋊C4—21no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4—21no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4C2×D411yescharacteristic
638(C2×D11)⋊C4C2×D411yescharacteristic
639(C2×D11)⋊C4C2×D411yescharacteristic
640(C2×D11)⋊C4C2×D411yescharacteristic
641(C2×D11)⋊C4C2×D411yescharacteristic
642(C2×D11)⋊C4C2×D411yescharacteristic
643C4⋊Dic11—21no—
644C4⋊Dic11—21no—
645C4⋊Dic11—21no—
646C4⋊Dic11—21no—
647C4⋊Dic11—21no—
648C4⋊Dic11C2×D411yescharacteristic
649C4⋊Dic11C2×D411yescharacteristic
650C4⋊Dic11C2411yescharacteristic
651C4⋊Dic11C2411yescharacteristic
652C4⋊Dic11C2411yescharacteristic
653C4⋊Dic11C2411yescharacteristic
654Dic11⋊C4—21no—
655Dic11⋊C4—21no—
656Dic11⋊C4—21no—
657Dic11⋊C4—21no—
658Dic11⋊C4—21no—
659Dic11⋊C4—21no—
660Dic11⋊C4—21no—
661Dic11⋊C4—21no—
662Dic11⋊C4—21no—
663Dic11⋊C4—21no—
664Dic11⋊C4C2×D411yescharacteristic
665Dic11⋊C4C2×D411yescharacteristic
666Dic11⋊C4C2×D411yescharacteristic
667Dic11⋊C4C2×D411yescharacteristic
668Dic11⋊C4C2×D411yescharacteristic
669Dic11⋊C4C2×D411yescharacteristic
670C4×Dic11—21no—
671C4×Dic11—21no—
672C4×Dic11—21no—
673C4×Dic11—21no—
674C4×Dic11—21no—
675C4×Dic11—21no—
676C4×Dic11—21no—
677C4×Dic11C2×D411yescharacteristic
678C4×Dic11C2×D411yescharacteristic
679C4×Dic11C2411yescharacteristic
680C4×Dic11C2411yescharacteristic
681C2×C11⋊C8C2411yescharacteristic
682C2×C11⋊C8C2411yescharacteristic
683C2×C11⋊C8C2411yescharacteristic
684C2×C11⋊C8C2411yescharacteristic
685D88—22no—
686D88—41no—
687#4314—22no—
688#4314—41no—
689#4313—22no—
690C8×D11—22no—
691C8×D11—41no—
692C8×D11—41no—
693#3517—111no—
694#3514—111no—
695#3399—111no—
696#3386—111no—
697#3365—111no—
698#3358—111no—
699#3353—111no—
700#3347—111no—
701#3347—111no—
702#3305—111no—
703#3305—111no—
704#3304—111no—
705#3297—111no—
706#3297—111no—
707#3294—111no—
708#3274—111no—
709#3268—111no—
710#3268—111no—
711#3179—111no—
712#3179—111no—
713#3169—111no—
714#3124—111no—
715#3124—111no—
716#3122—111no—
717#3122—111no—
718#3115—111no—
719#3115—111no—
720#2966—111no—
721#2946—111no—
722#2946D1111yescharacteristic, complemented
723C4×#135—111no—
724C23×C11—21no—
725C23×C11—21no—
726C23×C11—21no—
727C23×C11—42no—
728C23×C11—81no—
729C23×C11—81no—
730C23×C11C22×D411yescharacteristic
731C22×D11—21no—
732C22×D11—21no—
733C22×D11—21no—
734C22×D11—42no—
735C22×D11—81no—
736C22×D11—81no—
737C22×D11C22×D411yescharacteristic
738C22×D11C22×D411yescharacteristic
739Q8×C11—21no—
740Q8×C11C2×#4112yes—
741D4×C11—21no—
742D4×C11—21no—
743D4×C11—21no—
744D4×C11—21no—
745D4×C11—21no—
746D4×C11—42no—
747D4×C11—42no—
748D4×C11C2×#4112yes—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—42no—
757C2×C4×C11—81no—
758C2×C4×C11—81no—
759C2×C4×C11—81no—
760C2×C4×C11—81no—
761C2×C4×C11—81no—
762C2×C4×C11—81no—
763C2×C4×C11—81no—
764C2×C4×C11C22×D411yescharacteristic
765C2×C4×C11C22×D411yescharacteristic
766C2×C4×C11C22×D411yescharacteristic
767C2×C4×C11C22×D411yescharacteristic
768C2×C4×C11C22×D411yescharacteristic
769C2×C4×C11C2511yescharacteristic
770C22⋊D11—22no—
771C22⋊D11—41no—
772C22⋊D11—42no—
773C22⋊D11—42no—
774C22⋊D11—42no—
775C22⋊D11—42no—
776C22⋊D11—81no—
777C22⋊D11—81no—
778C22⋊D11—81no—
779C22⋊D11—81no—
780C22⋊D11—81no—
781C22⋊D11—81no—
782C22⋊D11—81no—
783C22⋊D11—81no—
784C22⋊D11—81no—
785C22⋊D11—81no—
786C22⋊D11—81no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—42no—
793C2×Dic11—42no—
794C2×Dic11—81no—
795C2×Dic11C22×D411yescharacteristic
796C2×Dic11C22×D411yescharacteristic
797C2×Dic11C22×D411yescharacteristic
798C2×Dic11C22×D411yescharacteristic
799C2×Dic11C22×D411yescharacteristic
800C2×Dic11C22×D411yescharacteristic
801D44—21no—
802D44—21no—
803D44—21no—
804D44—21no—
805D44—21no—
806D44—21no—
807D44—41no—
808D44—42no—
809D44—42no—
810D44—81no—
811D44—81no—
812D44—81no—
813D44—81no—
814D44—81no—
815C4×D11—21no—
816C4×D11—21no—
817C4×D11—21no—
818C4×D11—21no—
819C4×D11—22no—
820C4×D11—41no—
821C4×D11—42no—
822C4×D11—42no—
823C4×D11—42no—
824C4×D11—81no—
825C4×D11—81no—
826C4×D11—81no—
827C4×D11—81no—
828C4×D11—81no—
829C4×D11—81no—
830Dic22—22no—
831Dic22—21no—
832Dic22—21no—
833Dic22—42no—
834Dic22—42no—
835Dic22—81no—
836Dic22—81no—
837C8×C11—21no—
838C8×C11—21no—
839C8×C11—21no—
840C8×C11C2×#4112yes—
841C11⋊C8—21no—
842C11⋊C8—21no—
843C11⋊C8—21no—
844C11⋊C8—21no—
845C2×AGL(1,ℤ/8)—111no—
846C2×AGL(1,ℤ/8)C2×D1111yescharacteristic
847C2×#135—111no—
848#559—111no—
849#557—111no—
850#556—111no—
851#555—111no—
852#555—111no—
853#553—111no—
854#553—111no—
855#553—221no—
856#553—221no—
857#551—221no—
858#551—221no—
859#550—111no—
860#550—111no—
861#550—111no—
862#550—111no—
863#550—221no—
864D4×Q8—111no—
865#548—221no—
866#547—111no—
867#547—221no—
868#546—111no—
869#546—111no—
870#546—221no—
871D42—111no—
872#542—111no—
873#542—111no—
874#540—111no—
875#540—111no—
876#540—221no—
877#540—221no—
878#538—221no—
879#538—221no—
880#532—111no—
881#532—111no—
882#532—221no—
883#529—111no—
884#529—221no—
885#529—221no—
886C2×#124—221no—
887#520—111no—
888#520C2×D1111yescharacteristic, complemented
889#518—111no—
890#518C2×D1111yescharacteristic
891C4×#41—111no—
892C4×#41—111no—
893#501—111no—
894#501—111no—
895#500—111no—
896#496—111no—
897#496—111no—
898#493—111no—
899#488—111no—
900#488—111no—
901#486—111no—
902#486—111no—
903#486—111no—
904#486—111no—
905#484—111no—
906#484—111no—
907#482—111no—
908#482—111no—
909#482—111no—
910#482—111no—
911#482—111no—
912#482—111no—
913#482—111no—
914#482—111no—
915#480—111no—
916#480—111no—
917#478—111no—
918#478—111no—
919#478—111no—
920#478—111no—
921#477—111no—
922#477—111no—
923#475—111no—
924#475—111no—
925#474—111no—
926#474—111no—
927#474—111no—
928#474—111no—
929#469—111no—
930#469—111no—
931#468—111no—
932#468—111no—
933#466—111no—
934#466—111no—
935#466—111no—
936#466—111no—
937#466—111no—
938#466—111no—
939#465—111no—
940#465—111no—
941#464—111no—
942#464—111no—
943#463—111no—
944#463—111no—
945#460—111no—
946#460—111no—
947#459—111no—
948#459—111no—
949#459—111no—
950#459—111no—
951#459—111no—
952#459—111no—
953#452—111no—
954#452—111no—
955#449—111no—
956#449—111no—
957#449—111no—
958#449—111no—
959#449—111no—
960#449—111no—
961#447—111no—
962#447—111no—
963#447—111no—
964#447—111no—
965#446—111no—
966C8×Q8—111no—
967#442—111no—
968#442—111no—
969#442—111no—
970#442—111no—
971#442C2×D1111yescharacteristic
972#442C2×D1111yescharacteristic, complemented
973#440—111no—
974#440—111no—
975#440—111no—
976#440—111no—
977#440C2×D1111yescharacteristic
978#440C2×D1111yescharacteristic, complemented
979C4×Q16—111no—
980C4×Q16—111no—
981C4×SD16—111no—
982C4×SD16—111no—
983C4×SD16—111no—
984C4×SD16—111no—
985C4×SD16C2×D1111yescharacteristic
986C4×SD16C2×D1111yescharacteristic, complemented
987C4×D8—111no—
988C4×D8—111no—
989C4×D8—111no—
990C4×D8—111no—
991C4×D8—111no—
992C4×D8—111no—
993C4×D8C2×D1111yescharacteristic
994C4×D8C2×D1111yescharacteristic, complemented
995#436—111no—
996#435—111no—
997#435—111no—
998C8×D4—111no—
999C8×D4—111no—
1000C8×D4—111no—
1001#433—111no—
1002#433—111no—
1003#432—111no—
1004#428—111no—
1005#428C2×D1111yescharacteristic, complemented
1006#427—111no—
1007#416—111no—
1008#416—111no—
1009#416—111no—
1010#416C2×D1111yescharacteristic, complemented
1011C2×#102—111no—
1012C2×#102C2×D1111yescharacteristic
1013#405—111no—
1014#405C2×D1111yescharacteristic, complemented
1015C2×C4×C8—111no—
1016C22×C11—21no—
1017C22×C11—21no—
1018C22×C11—22no—
1019C22×C11—21no—
1020C22×C11—41no—
1021C22×C11—41no—
1022C22×C11—41no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11—41no—
1028C22×C11—162no—
1029C22×C11C23×D411yescharacteristic
1030C2×D11—21no—
1031C2×D11—21no—
1032C2×D11—21no—
1033C2×D11—21no—
1034C2×D11—21no—
1035C2×D11—21no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—41no—
1045C2×D11—162no—
1046C4×C11—21no—
1047C4×C11—21no—
1048C4×C11—21no—
1049C4×C11—22no—
1050C4×C11—21no—
1051C4×C11—21no—
1052C4×C11—41no—
1053C4×C11—41no—
1054C4×C11—41no—
1055C4×C11—41no—
1056C4×C11C22×#4111yescharacteristic
1057C4×C11#58511yescharacteristic
1058Dic11—21no—
1059Dic11—21no—
1060Dic11—21no—
1061Dic11—21no—
1062Dic11—21no—
1063Dic11—41no—
1064Dic11—41no—
1065Dic11—41no—
1066Dic11—41no—
1067Dic11—41no—
1068Dic11#57612yes—
1069C2×#41—111no—
1070C2×#41—111no—
1071C2×#41—111no—
1072C2×#41—221no—
1073C2×#41—221no—
1074C2×#41—221no—
1075C2×#41—221no—
1076C2×#41C22×D1111yescharacteristic
1077C22×Q8—221no—
1078C22×D4—111no—
1079C22×D4—221no—
1080C22×D4C22×D1111yescharacteristic
1081AGL(1,ℤ/8)—24no—
1082AGL(1,ℤ/8)—224no—
1083#135—224no—
1084C2×Q16—111no—
1085C2×SD16—111no—
1086C2×SD16—111no—
1087C2×SD16—111no—
1088C2×SD16—111no—
1089C2×SD16C22×D1111yescharacteristic
1090C2×SD16C22×D1111yescharacteristic
1091C2×D8—111no—
1092C2×D8—111no—
1093C2×D8—111no—
1094C2×D8—111no—
1095C2×D8—111no—
1096C2×D8—111no—
1097C2×D8—111no—
1098C2×D8C22×D1111yescharacteristic
1099C2×D8C22×D1111yescharacteristic
1100C2×M16—111no—
1101C2×M16C22×D1111yescharacteristic
1102C22×C8—111no—
1103C22×C8—111no—
1104C22×C8—111no—
1105C22×C8C22×D1111yescharacteristic
1106C4⋊Q8—111no—
1107C4⋊Q8—111no—
1108C4⋊Q8—111no—
1109C4⋊Q8—111no—
1110C4⋊Q8—221no—
1111#127—111no—
1112#127—111no—
1113#127—111no—
1114#127—111no—
1115#127—221no—
1116#127—221no—
1117#127—221no—
1118#126—111no—
1119#126—111no—
1120#126—221no—
1121#126—221no—
1122#126—221no—
1123#126—221no—
1124#126—221no—
1125#126—221no—
1126#125—111no—
1127#125—111no—
1128#125—111no—
1129#125—221no—
1130#125—221no—
1131#124—111no—
1132#124—111no—
1133#124—111no—
1134#124—221no—
1135#124—221no—
1136#124—221no—
1137#124—221no—
1138#124—221no—
1139#124—221no—
1140#124—221no—
1141#124—221no—
1142#124—221no—
1143#124—221no—
1144#123—111no—
1145#123—111no—
1146#123—221no—
1147#123—221no—
1148#123—221no—
1149#123—221no—
1150#123—221no—
1151#123—221no—
1152#123—221no—
1153#123—221no—
1154#123—221no—
1155#123—221no—
1156#123—221no—
1157#123—221no—
1158#123—221no—
1159#123—221no—
1160C22⋊Q8—111no—
1161C22⋊Q8—111no—
1162C22⋊Q8—111no—
1163C22⋊Q8—221no—
1164C22⋊Q8—221no—
1165C22⋊Q8—221no—
1166C22⋊Q8—221no—
1167C22⋊Q8—221no—
1168C22⋊Q8—221no—
1169#121—111no—
1170#121—111no—
1171#121—111no—
1172#121—111no—
1173#121—111no—
1174#121—111no—
1175#121—111no—
1176#121—111no—
1177#121—111no—
1178#121—111no—
1179#121—111no—
1180#121—221no—
1181#121—221no—
1182#121—221no—
1183#121—221no—
1184#121—221no—
1185#121—221no—
1186#121—221no—
1187#121—221no—
1188#121—221no—
1189#121—221no—
1190#121—221no—
1191#121—221no—
1192#121—221no—
1193#121—221no—
1194#121—221no—
1195#121—221no—
1196#121—221no—
1197#121—221no—
1198#121—221no—
1199#121—221no—
1200#121—221no—
1201#121—221no—
1202#120—221no—
1203#120—221no—
1204#120—221no—
1205#120—221no—
1206C4×Q8—111no—
1207C4×Q8—111no—
1208C4×Q8—111no—
1209C4×Q8—111no—
1210C4×Q8—111no—
1211C4×Q8—221no—
1212C4×Q8—221no—
1213C4×Q8C22×D1111yescharacteristic
1214C4×Q8C22×D1111yescharacteristic
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—111no—
1220C4×D4—111no—
1221C4×D4—111no—
1222C4×D4—111no—
1223C4×D4—111no—
1224C4×D4—111no—
1225C4×D4—111no—
1226C4×D4—111no—
1227C4×D4—111no—
1228C4×D4—111no—
1229C4×D4—111no—
1230C4×D4—221no—
1231C4×D4—221no—
1232C4×D4—221no—
1233C4×D4—221no—
1234C4×D4—221no—
1235C4×D4—221no—
1236C4×D4—221no—
1237C4×D4—221no—
1238C4×D4—221no—
1239C4×D4—221no—
1240C4×D4—221no—
1241C4×D4—221no—
1242C4×D4—221no—
1243C4×D4—221no—
1244C4×D4—221no—
1245C4×D4—221no—
1246C4×D4C22×D1111yescharacteristic
1247C4×D4C22×D1111yescharacteristic
1248C4×D4C22×D1111yescharacteristic
1249C4×D4C22×D1111yescharacteristic
1250C4×D4C22×D1111yescharacteristic
1251C4×D4C22×D1111yescharacteristic
1252#117—21no—
1253#117—111no—
1254#117—111no—
1255#117—111no—
1256#117—111no—
1257#117—221no—
1258#117—221no—
1259#117—221no—
1260#117—221no—
1261#117—221no—
1262#117C22×D1111yescharacteristic
1263#117C22×D1111yescharacteristic
1264C2×C4⋊C4—21no—
1265C2×C4⋊C4—111no—
1266C2×C4⋊C4—221no—
1267C2×C4⋊C4C22×D1111yescharacteristic
1268C2×C22⋊C4—21no—
1269C2×C22⋊C4—21no—
1270C2×C22⋊C4—221no—
1271C2×C22⋊C4—221no—
1272C2×C22⋊C4—221no—
1273C2×C22⋊C4—221no—
1274C2×C42—111no—
1275C2×C42—221no—
1276C2×C42—221no—
1277#107—111no—
1278#107—111no—
1279#107—111no—
1280#107—111no—
1281#107—111no—
1282#107—111no—
1283#107—111no—
1284#107—111no—
1285#107C22×D1111yescharacteristic
1286#107C22×D1111yescharacteristic
1287#106—111no—
1288#106—111no—
1289#106—111no—
1290#106—111no—
1291#106C22×D1111yescharacteristic
1292#106C22×D1111yescharacteristic
1293C4⋊C8—111no—
1294C4⋊C8—111no—
1295C4⋊C8—111no—
1296C4⋊C8—111no—
1297C4⋊C8—111no—
1298C4⋊C8—111no—
1299#103—111no—
1300#103—111no—
1301#103—111no—
1302#103—111no—
1303#103—111no—
1304#103—111no—
1305#103C22×D1111yescharacteristic
1306#103C22×D1111yescharacteristic
1307#102—111no—
1308#102—111no—
1309#102—111no—
1310#102—111no—
1311#102—111no—
1312#102—111no—
1313#102—111no—
1314#102—111no—
1315#102—111no—
1316#102—111no—
1317#102—111no—
1318#102—111no—
1319#102—111no—
1320#102—111no—
1321#102—111no—
1322#102—111no—
1323#102—111no—
1324#102—111no—
1325#102C22×D1111yescharacteristic
1326#102C22×D1111yescharacteristic
1327#102C22×D1111yescharacteristic
1328#102C22×D1111yescharacteristic
1329#102C22×D1111yescharacteristic
1330#102C22×D1111yescharacteristic
1331C22⋊C8—111no—
1332C22⋊C8—111no—
1333C22⋊C8—111no—
1334C22⋊C8—111no—
1335C22⋊C8—111no—
1336C22⋊C8—111no—
1337#97—111no—
1338#97—111no—
1339#97C22×D1111yescharacteristic
1340#97C22×D1111yescharacteristic
1341C4×C8—111no—
1342C4×C8—111no—
1343C4×C8—111no—
1344C4×C8—111no—
1345C4×C8C22×D1111yescharacteristic
1346C4×C8C22×D1111yescharacteristic
1347C2×C11—42no—
1348C2×C11—41no—
1349C2×C11—81no—
1350C2×C11—81no—
1351C2×C11D4×#4111yescharacteristic
1352C2×C11C2×#57611yescharacteristic
1353C2×C11#358411yescharacteristic
1354D11—41no—
1355D11—41no—
1356D11—81no—
1357D11—81no—
1358D11—81no—
1359C24—21no—
1360C24—221no—
1361#41—22no—
1362#41—41no—
1363#41—222no—
1364#41—222no—
1365#41—222no—
1366#41—441no—
1367#41—441no—
1368#41—441no—
1369#41—882no—
1370#41—882no—
1371#41—882no—
1372#41—882no—
1373C2×Q8—111no—
1374C2×Q8—111no—
1375C2×Q8—221no—
1376C2×Q8—221no—
1377C2×Q8—221no—
1378C2×Q8—221no—
1379C2×Q8—882no—
1380C2×Q8C23×D1111yescharacteristic
1381C2×D4—22no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—41no—
1385C2×D4—111no—
1386C2×D4—111no—
1387C2×D4—111no—
1388C2×D4—111no—
1389C2×D4—111no—
1390C2×D4—111no—
1391C2×D4—221no—
1392C2×D4—221no—
1393C2×D4—221no—
1394C2×D4—221no—
1395C2×D4—221no—
1396C2×D4—221no—
1397C2×D4—221no—
1398C2×D4—221no—
1399C2×D4—221no—
1400C2×D4—221no—
1401C2×D4—221no—
1402C2×D4—221no—
1403C2×D4—222no—
1404C2×D4—221no—
1405C2×D4—221no—
1406C2×D4—221no—
1407C2×D4—221no—
1408C2×D4—221no—
1409C2×D4—221no—
1410C2×D4—221no—
1411C2×D4—221no—
1412C2×D4—221no—
1413C2×D4—221no—
1414C2×D4—441no—
1415C2×D4—882no—
1416C2×D4C23×D1111yescharacteristic
1417C2×D4C23×D1111yescharacteristic
1418C2×D4C23×D1111yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—111no—
1428C22×C4—111no—
1429C22×C4—111no—
1430C22×C4—111no—
1431C22×C4—221no—
1432C22×C4—221no—
1433C22×C4—221no—
1434C22×C4—221no—
1435C22×C4—221no—
1436C22×C4—221no—
1437C22×C4—221no—
1438C22×C4—221no—
1439C22×C4—221no—
1440C22×C4—221no—
1441C22×C4—221no—
1442C22×C4—221no—
1443C22×C4C23×D1111yescharacteristic
1444Q16—222no—
1445SD16—22no—
1446SD16—222no—
1447SD16—222no—
1448SD16—441no—
1449SD16—441no—
1450SD16#433914yescomplemented
1451D8—22no—
1452D8—22no—
1453D8—222no—
1454D8—222no—
1455D8—222no—
1456D8—441no—
1457D8—441no—
1458D8—441no—
1459D8—441no—
1460M16—22no—
1461M16—222no—
1462C2×C8—41no—
1463C2×C8—111no—
1464C2×C8—111no—
1465C2×C8—111no—
1466C2×C8—111no—
1467C2×C8—222no—
1468C2×C8—441no—
1469C2×C8—441no—
1470C2×C8C23×D1111yescharacteristic
1471C2×C8C23×D1111yescharacteristic
1472C2×C8C23×D1111yescharacteristic
1473C2×C8C23×D1111yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—111no—
1478C4⋊C4—111no—
1479C4⋊C4—111no—
1480C4⋊C4—111no—
1481C4⋊C4—111no—
1482C4⋊C4—111no—
1483C4⋊C4—111no—
1484C4⋊C4—111no—
1485C4⋊C4—111no—
1486C4⋊C4—111no—
1487C4⋊C4—111no—
1488C4⋊C4—111no—
1489C4⋊C4—221no—
1490C4⋊C4—221no—
1491C4⋊C4—221no—
1492C4⋊C4—221no—
1493C4⋊C4—221no—
1494C4⋊C4—221no—
1495C4⋊C4—221no—
1496C4⋊C4—221no—
1497C4⋊C4—221no—
1498C4⋊C4—221no—
1499C4⋊C4—221no—
1500C4⋊C4—221no—
1501C4⋊C4—221no—
1502C4⋊C4—221no—
1503C4⋊C4—221no—
1504C4⋊C4D4×D1111yescharacteristic
1505C4⋊C4D4×D1111yescharacteristic
1506C4⋊C4C23×D1111yescharacteristic
1507C4⋊C4C23×D1111yescharacteristic
1508C4⋊C4C23×D1111yescharacteristic
1509C4⋊C4C23×D1111yescharacteristic
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—111no—
1518C22⋊C4—111no—
1519C22⋊C4—111no—
1520C22⋊C4—111no—
1521C22⋊C4—111no—
1522C22⋊C4—111no—
1523C22⋊C4—111no—
1524C22⋊C4—111no—
1525C22⋊C4—221no—
1526C22⋊C4—221no—
1527C22⋊C4—221no—
1528C22⋊C4—221no—
1529C22⋊C4—221no—
1530C22⋊C4—221no—
1531C22⋊C4—221no—
1532C22⋊C4—221no—
1533C22⋊C4—221no—
1534C22⋊C4—221no—
1535C22⋊C4—221no—
1536C22⋊C4—221no—
1537C22⋊C4—221no—
1538C22⋊C4—221no—
1539C22⋊C4—221no—
1540C22⋊C4—221no—
1541C22⋊C4—221no—
1542C22⋊C4—221no—
1543C22⋊C4—221no—
1544C22⋊C4—221no—
1545C22⋊C4—221no—
1546C22⋊C4—221no—
1547C22⋊C4—221no—
1548C22⋊C4—221no—
1549C22⋊C4—221no—
1550C22⋊C4—221no—
1551C22⋊C4—221no—
1552C22⋊C4D4×D1111yescharacteristic
1553C22⋊C4D4×D1111yescharacteristic
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—111no—
1558C42—111no—
1559C42—111no—
1560C42—111no—
1561C42—221no—
1562C42—221no—
1563C42—221no—
1564C42—221no—
1565C42—221no—
1566C42—221no—
1567C42—221no—
1568C42C23×D1111yescharacteristic
1569C42C23×D1111yescharacteristic
1570C11#6149411yescharacteristic, complemented, Sylow
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—42no—
1575C23—81no—
1576C23—81no—
1577C23—111no—
1578C23—111no—
1579C23—221no—
1580C23—221no—
1581C23—221no—
1582C23—442no—
1583C23—881no—
1584C23—881no—
1585C23C2×D4×D1111yescharacteristic
1586Q8—21no—
1587Q8—222no—
1588Q8—221no—
1589Q8—221no—
1590Q8—442no—
1591Q8—442no—
1592Q8—881no—
1593Q8—881no—
1594Q8C2×#433912yes—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—42no—
1601D4—42no—
1602D4—222no—
1603D4—221no—
1604D4—221no—
1605D4—221no—
1606D4—221no—
1607D4—221no—
1608D4—221no—
1609D4—441no—
1610D4—442no—
1611D4—442no—
1612D4—442no—
1613D4—442no—
1614D4—441no—
1615D4—442no—
1616D4—442no—
1617D4—881no—
1618D4—881no—
1619D4—881no—
1620D4—881no—
1621D4—881no—
1622D4—881no—
1623D4—881no—
1624D4—881no—
1625D4—881no—
1626D4—881no—
1627D4—881no—
1628D4—881no—
1629D4—881no—
1630D4—881no—
1631D4—881no—
1632D4—881no—
1633D4C2×#433912yes—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—42no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—111no—
1650C2×C4—111no—
1651C2×C4—111no—
1652C2×C4—111no—
1653C2×C4—111no—
1654C2×C4—111no—
1655C2×C4—222no—
1656C2×C4—221no—
1657C2×C4—221no—
1658C2×C4—221no—
1659C2×C4—221no—
1660C2×C4—221no—
1661C2×C4—221no—
1662C2×C4—221no—
1663C2×C4—221no—
1664C2×C4—221no—
1665C2×C4—441no—
1666C2×C4—442no—
1667C2×C4—442no—
1668C2×C4—442no—
1669C2×C4—442no—
1670C2×C4—442no—
1671C2×C4—881no—
1672C2×C4—881no—
1673C2×C4—881no—
1674C2×C4—881no—
1675C2×C4—881no—
1676C2×C4—881no—
1677C2×C4—881no—
1678C2×C4C2×D4×D1111yescharacteristic
1679C2×C4C2×D4×D1111yescharacteristic
1680C2×C4C2×D4×D1111yescharacteristic
1681C2×C4C2×D4×D1111yescharacteristic
1682C2×C4C2×D4×D1111yescharacteristic
1683C2×C4C24×D1111yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—221no—
1688C8—221no—
1689C8—221no—
1690C8—221no—
1691C8C2×#433912yes—
1692C22—21no—
1693C22—21no—
1694C22—22no—
1695C22—21no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—162no—
1705C22—221no—
1706C22—221no—
1707C22—221no—
1708C22—221no—
1709C22—221no—
1710C22—221no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—441no—
1716C22—441no—
1717C22—441no—
1718C22—441no—
1719C22—441no—
1720C22—1762no—
1721C22C22×D4×D1111yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—22no—
1726C4—21no—
1727C4—21no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—112no—
1733C4—221no—
1734C4—221no—
1735C4—221no—
1736C4—221no—
1737C4—221no—
1738C4—441no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C4C22×#433911yescharacteristic
1744C4#1062345311yescharacteristic
1745C2—41no—
1746C2—42no—
1747C2—81no—
1748C2—81no—
1749C2—441no—
1750C2—441no—
1751C2—881no—
1752C2—881no—
1753C2—881no—
1754C2D4×#433911yescharacteristic
1755C2D11×#57611yescharacteristic
1756C2#1308338811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#2946C2
socleC22×C11C23×D4
hypercenter#2946D11
hypocenterC11#61494
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. #13082616C2semidirect
2. #13082567C2semidirect
3. #13081659C2semidirect
4. #13081538C2semidirect
5. #13081313C2semidirect
6. #13081249C2semidirect
7. #13081196C2semidirect
8. #13081121C2semidirect
9. #13081117C2semidirect
10. #13080568C2semidirect
11. #13080562C2semidirect
12. #13080551C2semidirect
13. #13080471C2semidirect
14. #13080462C2semidirect
15. #13080425C2semidirect
16. #13080230C2semidirect
17. #13080158C2semidirect
18. #13080150C2semidirect
19. #13079303C2semidirect
20. #13079299C2semidirect
21. #13079192C2semidirect
22. #13078878C2semidirect
23. #13078876C2semidirect
24. #13078859C2semidirect
25. #13078858C2semidirect
26. #13078765C2semidirect
27. #13078763C2semidirect
28. #13077587C2semidirect
29. #13077443C2semidirect
30. C4×#66969C2semidirect
31. C11×#2946C2semidirect
33. C11×#520C22semidirect
36. #10623365C22semidirect
41. #10623108C22semidirect
42. #10623105C22semidirect
43. C4×#4343C22semidirect
44. #10623100C22semidirect
47. #10623093C22semidirect
52. #10623089C22semidirect
56. #10623084C22semidirect
60. #10623079C22semidirect
66. #10623066C22semidirect
73. #10623045C22semidirect
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
97. #10622785C22semidirect
98. #10622779C22semidirect
104. #10622770C22semidirect
106. #10622767C22semidirect
111. #10622747C22semidirect
113. #10622740C22semidirect
115. #10622727C22semidirect
117. C8×C22⋊D11C22semidirect
118. C4×#4326C22semidirect
119. #10622641C22semidirect
120. #10622639C22semidirect
121. #10622634C22semidirect
122. #10622631C22semidirect
123. #10622629C22semidirect
125. #10622628C22semidirect
127. #10622627C22semidirect
129. C4×#4323C22semidirect
130. C4×#4323C22semidirect
132. #10622622C22semidirect
133. #10622620C22semidirect
134. #10622616C22semidirect
135. #10622616C22semidirect
136. #10622613C22semidirect
137. #10622583C22semidirect
139. #10622503C22semidirect
140. #10622503C22semidirect
141. #10622499C22semidirect
142. #10622498C22semidirect
143. #10622497C22semidirect
144. #10622496C22semidirect
145. #10622489C22semidirect
146. #10622487C22semidirect
147. #10622484C22semidirect
148. #10622482C22semidirect
149. #10622479C22semidirect
150. #10622479C22semidirect
151. #10622474C22semidirect
152. #10622473C22semidirect
153. #10622467C22semidirect
154. #10622465C22semidirect
155. #10622424C22semidirect
156. #10622423C22semidirect
157. #10622417C22semidirect
158. #10622417C22semidirect
159. #10622407C22semidirect
160. #10622404C22semidirect
161. #10622403C22semidirect
162. #10622401C22semidirect
163. #10622400C22semidirect
165. #10622399C22semidirect
166. #10622397C22semidirect
168. #10622392C22semidirect
169. #10622392C22semidirect
170. #10622391C22semidirect
172. #10622388C22semidirect
173. #10622388C22semidirect
178. #10622381C22semidirect
180. #10622375C22semidirect
182. #10622373C22semidirect
183. #10622373C22semidirect
187. #10622325C22semidirect
188. #10622324C22semidirect
189. #10622323C22semidirect
190. #10622322C22semidirect
191. #10622319C22semidirect
192. #10622318C22semidirect
193. #10622315C22semidirect
194. #10622314C22semidirect
195. #10622310C22semidirect
196. #10622307C22semidirect
197. C4×D88C22semidirect
198. C4×#4314C22semidirect
199. #10622302C22semidirect
200. C8×D44C22semidirect
201. C4×C8×D11C22semidirect
202. C8×Dic22C22semidirect
568. C11×SD16#41semidirect
722. #2946D11semidirect
888. #520C2×D11semidirect
972. #442C2×D11semidirect
978. #440C2×D11semidirect
986. C4×SD16C2×D11semidirect
994. C4×D8C2×D11semidirect
1005. #428C2×D11semidirect
1010. #416C2×D11semidirect
1014. #405C2×D11semidirect
1450. SD16#4339semidirect
1570. C11#61494semidirect

Maximal subgroups

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

subgroupindex
#130826162
#130825672
#130816592
#130815382
#130813132
#130812492
#130811962
#130811212
#130811172
#130805682
#130805622
#130805512
#130804712
#130804622
#130804252
#130802302
#130801582
#130801502
#130793032
#130792992
#130791922
#130788782
#130788762
#130788592
#130788582
#130787652
#130787632
#130775872
#130774432
C4×#669692
C11×#29462
#6149411