Finite Group Databasebeta

← #15646031

Subgroups — #15646031

Order 2816.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082571C211yesmaximal, characteristic, complemented
2#13082233C211yesmaximal, characteristic, complemented
3#13081607C211yesmaximal, characteristic, complemented
4#13081599C211yesmaximal, characteristic, complemented
5#13081307C211yesmaximal, characteristic, complemented
6#13081296C211yesmaximal, characteristic, complemented
7#13080510C211yesmaximal, characteristic, complemented
8#13080499C211yesmaximal, characteristic, complemented
9#13080477C211yesmaximal, characteristic, complemented
10#13080458C211yesmaximal, characteristic, complemented
11#13080447C211yesmaximal, characteristic, complemented
12#13080425C211yesmaximal, characteristic, complemented
13Q16×C22⋊D11C211yesmaximal, characteristic, complemented
14#13080357C211yesmaximal, characteristic, complemented
15#13080352C211yesmaximal, characteristic, complemented
16#13080323C211yesmaximal, characteristic, complemented
17#13080318C211yesmaximal, characteristic, complemented
18SD16×C22⋊D11C211yesmaximal, characteristic, complemented
19#13079968C211yesmaximal, characteristic, complemented
20#13079966C211yesmaximal, characteristic, complemented
21#13079950C211yesmaximal, characteristic, complemented
22#13079585C211yesmaximal, characteristic, complemented
23#13079581C211yesmaximal, characteristic, complemented
24#13079571C211yesmaximal, characteristic, complemented
25#13078696C211yesmaximal, characteristic, complemented
26#13078695C211yesmaximal, characteristic, complemented
27#13078633C211yesmaximal, characteristic, complemented
28#13078070C211yesmaximal, characteristic, complemented
29D11×#464C211yesmaximal, characteristic, complemented
30#13077725C211yesmaximal, characteristic, complemented
31C2×C11×#464C211yesmaximal, characteristic, complemented
32C22×C11×Q16C2211yescharacteristic, complemented
33C22×C11×SD16C2211yescharacteristic
34C2×C11×#124C2211yescharacteristic
35C2×C4×Q8×C11C2211yescharacteristic, complemented
36#10623348C2211yescharacteristic
37#10623348C2211yescharacteristic, complemented
38Q8×C22⋊D11C2211yescharacteristic
39Q8×C22⋊D11C2211yescharacteristic
40#10623337C2211yescharacteristic
41D4×C22⋊D11C2211yescharacteristic
42C2×#66972C2211yescharacteristic, complemented
43C2×Q16×D11C2211yescharacteristic, complemented
44C2×#66969C2211yescharacteristic, complemented
45C2×SD16×D11C2211yescharacteristic
46#10623212C2211yescharacteristic
47#10623211C2211yescharacteristic
48#10623211C2211yescharacteristic
49#10623210—21no—
50#10623209—21no—
51#10623208C2211yescharacteristic
52#10623207C2211yescharacteristic
53D11×#124C2211yescharacteristic
54#10623202C2211yescharacteristic
55#10623201—21no—
56#10623200—21no—
57#10623199C2211yescharacteristic
58#10623112—21no—
59#10623112C2211yescharacteristic, complemented
60#10623111—21no—
61#10623111C2211yescharacteristic, complemented
62#10623109—21no—
63#10623109C2211yescharacteristic, complemented
64#10623107C2211yescharacteristic, complemented
65C4×#4343C2211yescharacteristic, complemented
66C4×Q8×D11C2211yescharacteristic, complemented
67#10623100C2211yescharacteristic, complemented
68#10623099—21no—
69#10623099C2211yescharacteristic, complemented
70#10623044—21no—
71#10623044C2211yescharacteristic, complemented
72#10623038—21no—
73#10623038C2211yescharacteristic
74#10623026—21no—
75#10623025—21no—
76#10623021—21no—
77#10623017—21no—
78#10623010—21no—
79#10623010C2211yescharacteristic
80#10623010C2211yescharacteristic, complemented
81C4×#4339—21no—
82C4×#4339C2211yescharacteristic
83C11×#464C2211yescharacteristic
84C11×#464C2211yescharacteristic
85C11×#464C2211yescharacteristic
86C11×#464C2211yescharacteristic
87C11×#464C2211yescharacteristic, complemented
88C11×#464C2211yescharacteristic, complemented
89C11×#464C2211yescharacteristic, complemented
90C11×#464C2211yescharacteristic, complemented
91C2×C11×C4⋊C8C2211yescharacteristic, complemented
92C2×C11×#103C2211yescharacteristic, complemented
93C2×C11×#102C2211yescharacteristic
94#10622841C2211yescharacteristic, complemented
95#10622841C2211yescharacteristic, complemented
96#10622840C2211yescharacteristic
97#10622840C2211yescharacteristic, complemented
98#10622831C2211yescharacteristic
99#10622830C2211yescharacteristic
100#10622804C2211yescharacteristic, complemented
101#10622801C2211yescharacteristic, complemented
102#10622801C2211yescharacteristic, complemented
103#10622800C2211yescharacteristic, complemented
104#10622800C2211yescharacteristic, complemented
105#10622799C2211yescharacteristic, complemented
106#10622799C2211yescharacteristic, complemented
107#10622798C2211yescharacteristic, complemented
108#10622798C2211yescharacteristic, complemented
109Q16×Dic11C2211yescharacteristic, complemented
110Q16×Dic11C2211yescharacteristic, complemented
111#10622795C2211yescharacteristic, complemented
112#10622795C2211yescharacteristic, complemented
113#10622794C2211yescharacteristic, complemented
114#10622788C2211yescharacteristic
115#10622786C2211yescharacteristic, complemented
116#10622785C2211yescharacteristic
117#10622784C2211yescharacteristic
118#10622784C2211yescharacteristic
119#10622783C2211yescharacteristic
120#10622782C2211yescharacteristic
121#10622781C2211yescharacteristic
122#10622779C2211yescharacteristic
123#10622778C2211yescharacteristic, complemented
124#10622776C2211yescharacteristic
125#10622775C2211yescharacteristic
126SD16×Dic11C2211yescharacteristic
127SD16×Dic11C2211yescharacteristic, complemented
128#10622729C2211yescharacteristic, complemented
129#10622728C2211yescharacteristic
130#10622727C2211yescharacteristic
131#10622727C2211yescharacteristic, complemented
132C8×C22⋊D11C2211yescharacteristic
133C8×C22⋊D11C2211yescharacteristic
134C8×C22⋊D11C2211yescharacteristic, complemented
135C8×C22⋊D11C2211yescharacteristic, complemented
136#10622672C2211yescharacteristic
137#10622672C2211yescharacteristic, complemented
138#10622670C2211yescharacteristic
139#10622670C2211yescharacteristic, complemented
140#10622669C2211yescharacteristic
141#10622669C2211yescharacteristic, complemented
142#10622667C2211yescharacteristic
143#10622667C2211yescharacteristic, complemented
144C4×#4326C2211yescharacteristic, complemented
145C4×#4326C2211yescharacteristic, complemented
146#10622641C2211yescharacteristic, complemented
147#10622641C2211yescharacteristic, complemented
148C4×#4325C2211yescharacteristic, complemented
149C4×#4325C2211yescharacteristic, complemented
150#10622635C2211yescharacteristic, complemented
151#10622635C2211yescharacteristic, complemented
152#10622584C2211yescharacteristic, complemented
153#10622580C2211yescharacteristic
154#10622538C2211yescharacteristic, complemented
155#10622460C2211yescharacteristic, complemented
156#10622460C2211yescharacteristic, complemented
157#10622458C2211yescharacteristic, complemented
158#10622458C2211yescharacteristic, complemented
159#10622457C2211yescharacteristic, complemented
160#10622457C2211yescharacteristic, complemented
161#10622447C2211yescharacteristic, complemented
162#10622447C2211yescharacteristic, complemented
163#10622446C2211yescharacteristic, complemented
164#10622446C2211yescharacteristic, complemented
165D11×C4⋊C8C2211yescharacteristic, complemented
166D11×C4⋊C8C2211yescharacteristic, complemented
167#10622443C2211yescharacteristic, complemented
168#10622443C2211yescharacteristic, complemented
169#10622442C2211yescharacteristic, complemented
170#10622442C2211yescharacteristic, complemented
171#10622431C2211yescharacteristic, complemented
172#10622428C2211yescharacteristic, complemented
173#10622426C2211yescharacteristic, complemented
174#10622423C2211yescharacteristic, complemented
175#10622420C2211yescharacteristic, complemented
176#10622419C2211yescharacteristic, complemented
177#10622418C2211yescharacteristic, complemented
178#10622417C2211yescharacteristic, complemented
179D11×#103C2211yescharacteristic, complemented
180#10622413C2211yescharacteristic, complemented
181#10622412C2211yescharacteristic, complemented
182#10622411C2211yescharacteristic, complemented
183#10622405C2211yescharacteristic, complemented
184#10622404C2211yescharacteristic, complemented
185#10622403C2211yescharacteristic, complemented
186#10622401C2211yescharacteristic, complemented
187#10622399C2211yescharacteristic
188#10622397C2211yescharacteristic
189#10622396C2211yescharacteristic, complemented
190#10622391C2211yescharacteristic
191#10622388C2211yescharacteristic
192#10622387C2211yescharacteristic
193#10622386C2211yescharacteristic
194#10622385C2211yescharacteristic, complemented
195D11×#102C2211yescharacteristic
196#10622381C2211yescharacteristic
197#10622380C2211yescharacteristic
198#10622379C2211yescharacteristic, complemented
199#10622373C2211yescharacteristic
200#10622372C2211yescharacteristic
201#10622371C2211yescharacteristic, complemented
202#10622369C2211yescharacteristic
203C22×Q8×C11C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205C22×D4×C11C2311yescharacteristic
206C22×C22⋊D11—21no—
207C2×#4343C2311yescharacteristic
208C2×#4343C2311yescharacteristic
209C2×Q8×D11C2311yescharacteristic
210C2×Q8×D11C2311yescharacteristic
211C2×#4341C2311yescharacteristic
212C2×D4×D11C2311yescharacteristic
213C2×#4339—21no—
214C2×#4339D411yescharacteristic
215C2×C11×Q16—42no—
216C2×C11×Q16C2311yescharacteristic
217C2×C11×Q16C2311yescharacteristic
218C2×C11×Q16C2311yescharacteristic
219C2×C11×Q16C2311yescharacteristic
220C2×C11×SD16—42no—
221C2×C11×SD16C2311yescharacteristic
222C2×C11×SD16C2311yescharacteristic
223C2×C11×SD16C2311yescharacteristic
224C2×C11×SD16C2311yescharacteristic
225C22×C8×C11C2311yescharacteristic
226C22×C8×C11C2311yescharacteristic
227C11×#124—21no—
228C11×#124—21no—
229C11×#124C2311yescharacteristic
230C11×#124C2311yescharacteristic
231C11×#124C2311yescharacteristic
232C11×#124C2311yescharacteristic
233C4×Q8×C11—21no—
234C4×Q8×C11—21no—
235C4×Q8×C11C2311yescharacteristic
236C4×Q8×C11C2311yescharacteristic
237C4×Q8×C11C2311yescharacteristic
238C4×Q8×C11C2311yescharacteristic
239C2×C11×C4⋊C4—21no—
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4—21no—
242C2×C11×C22⋊C4—21no—
243C2×C42×C11—21no—
244C2×C42×C11C2311yescharacteristic
245#67006—21no—
246#67006—21no—
247C2×C22⋊Dic11—21no—
248#67000—21no—
249#67000—21no—
250#67000C2311yescharacteristic
251#67000C2311yescharacteristic
252#66999—21no—
253#66999—21no—
254#66999—21no—
255#66999—21no—
256#66999C2311yescharacteristic
257#66999C2311yescharacteristic
258#66999C2311yescharacteristic
259#66999C2311yescharacteristic
260Q8×Dic11C2311yescharacteristic
261Q8×Dic11C2311yescharacteristic
262Q8×Dic11C2311yescharacteristic
263Q8×Dic11C2311yescharacteristic
264#66997—21no—
265#66997—21no—
266#66997C2311yescharacteristic
267#66997C2311yescharacteristic
268C2×#4326C2311yescharacteristic
269C2×#4326C2311yescharacteristic
270C2×#4326C2311yescharacteristic
271C2×#4326C2311yescharacteristic
272C2×#4325C2311yescharacteristic
273C2×#4325C2311yescharacteristic
274C2×#4325C2311yescharacteristic
275C2×#4325C2311yescharacteristic
276#66993C2311yescharacteristic
277#66992—21no—
278#66992—21no—
279#66991C2311yescharacteristic
280#66991C2311yescharacteristic
281#66990—21no—
282#66989C2311yescharacteristic
283#66988—21no—
284D4×Dic11C2311yescharacteristic
285D4×Dic11C2311yescharacteristic
286C2×#4324C2311yescharacteristic
287C2×#4324C2311yescharacteristic
288C2×#4323C2311yescharacteristic
289C2×#4323C2311yescharacteristic
290#66983—21no—
291#66983—21no—
292#66983C2311yescharacteristic
293#66983C2311yescharacteristic
294#66982—21no—
295#66982—21no—
296#66982—21no—
297#66982—21no—
298C4×C22⋊D11—21no—
299C4×C22⋊D11—21no—
300C4×C22⋊D11—21no—
301C4×C22⋊D11—21no—
302C4×C22⋊D11—21no—
303C4×C22⋊D11—21no—
304C4×C22⋊D11D411yescharacteristic
305C4×C22⋊D11D411yescharacteristic
306C4×C22⋊D11C2311yescharacteristic
307C4×C22⋊D11C2311yescharacteristic
308#66979—21no—
309#66979D411yescharacteristic
310#66977—21no—
311#66977—21no—
312#66977C2311yescharacteristic
313#66977C2311yescharacteristic
314#66972—42no—
315Q16×D11—42no—
316#66969—42no—
317SD16×D11—42no—
318C2×Dic44C2311yescharacteristic
319C2×D88C2311yescharacteristic
320C2×#4314C2311yescharacteristic
321C2×#4314C2311yescharacteristic
322C2×C8×D11C2311yescharacteristic
323C2×C8×D11C2311yescharacteristic
324C2×C8×D11C2311yescharacteristic
325C2×C8×D11C2311yescharacteristic
326#66951—21no—
327#66951—21no—
328#66951—21no—
329#66950—21no—
330#66950C2311yescharacteristic
331#66949—21no—
332#66949—21no—
333#66949—21no—
334#66948—21no—
335#66948C2311yescharacteristic
336#66947—21no—
337#66947—21no—
338#66947—21no—
339#66946—21no—
340#66946C2311yescharacteristic
341#66945—21no—
342#66945C2311yescharacteristic
343C4⋊C4×D11—21no—
344C4⋊C4×D11C2311yescharacteristic
345#66943—21no—
346#66943C2311yescharacteristic
347#66942—21no—
348#66942—21no—
349#66942—21no—
350#66941—21no—
351#66941C2311yescharacteristic
352#66940—21no—
353#66940C2311yescharacteristic
354#66939—21no—
355#66938—21no—
356#66938—21no—
357#66938—21no—
358#66938—21no—
359#66937—21no—
360#66937—21no—
361#66937—21no—
362#66937—21no—
363#66936—21no—
364#66936—21no—
365#66936—21no—
366#66936—21no—
367#66935—21no—
368(C22⋊D11)⋊C4—21no—
369(C22⋊D11)⋊C4—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—
375C22⋊C4×D11—21no—
376C22⋊C4×D11—21no—
377#66932—21no—
378#66932—21no—
379#66932—21no—
380#66932—21no—
381#66931—21no—
382#66931—21no—
383#66930—21no—
384#66930—21no—
385#66930—21no—
386#66929—21no—
387#66929—21no—
388#66929—21no—
389#66929—21no—
390#66928—21no—
391#66928C2311yescharacteristic
392#66928C2311yescharacteristic
393C4×D44—21no—
394C4×D44—21no—
395C4×D44—21no—
396C4×D44D411yescharacteristic
397C4×D44C2311yescharacteristic
398C4×D44C2311yescharacteristic
399C4×D44C2311yescharacteristic
400#66925—21no—
401#66925—21no—
402#66925—21no—
403#66925—21no—
404#66925—21no—
405#66925—21no—
406#66925D411yescharacteristic
407#66925D411yescharacteristic
408C42×D11—21no—
409C42×D11—21no—
410C42×D11C2311yescharacteristic
411C42×D11C2311yescharacteristic
412#66923—21no—
413#66923C2311yescharacteristic
414#66923C2311yescharacteristic
415C4×Dic22—21no—
416C4×Dic22—21no—
417C4×Dic22—21no—
418C4×Dic22D411yescharacteristic
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×C4⋊C8C2311yescharacteristic
424C11×C4⋊C8C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#103C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×#102C2311yescharacteristic
434#66899C2311yescharacteristic
435#66899C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66899C2311yescharacteristic
441#66899C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453(C2×D11)⋊C8C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456#66882C2311yescharacteristic
457#66882C2311yescharacteristic
458#66881C2311yescharacteristic
459#66881C2311yescharacteristic
460#66880C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464Dic11⋊C8C2311yescharacteristic
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468C8×Dic11C2311yescharacteristic
469C8×Dic11C2311yescharacteristic
470C8×Dic11C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66872C2311yescharacteristic
477#66872C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482C4×C11⋊C8C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#61956—111nomaximal, Sylow
485C24×C11—21no—
486C23×D11—21no—
487C2×Q8×C11—21no—
488C2×Q8×C11—21no—
489C2×Q8×C11—22no—
490C2×Q8×C11—41no—
491C2×Q8×C11—41no—
492C2×Q8×C11—41no—
493C2×Q8×C11C2411yescharacteristic
494C2×Q8×C11C2411yescharacteristic
495C2×Q8×C11C2411yescharacteristic
496C2×Q8×C11C2411yescharacteristic
497C2×D4×C11—21no—
498C2×D4×C11—41no—
499C2×D4×C11—41no—
500C2×D4×C11C2411yescharacteristic
501C2×D4×C11C2411yescharacteristic
502C22×C4×C11—21no—
503C22×C4×C11—21no—
504C22×C4×C11—21no—
505C22×C4×C11C2×D411yescharacteristic
506C22×C4×C11C2×D411yescharacteristic
507C22×C4×C11C2411yescharacteristic
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—44no—
517C2×C22⋊D11C2×D411yescharacteristic
518C2×C22⋊D11C2×D411yescharacteristic
519C22×Dic11—21no—
520C22×Dic11—21no—
521C22×Dic11—21no—
522#4343—22no—
523#4343—41no—
524#4343—41no—
525#4343—41no—
526Q8×D11—22no—
527Q8×D11—41no—
528Q8×D11—41no—
529Q8×D11—41no—
530#4341—41no—
531#4341—41no—
532D4×D11—41no—
533D4×D11—41no—
534#4339—24no—
535#4339—44no—
536C2×D44—21no—
537C2×D44—21no—
538C2×D44—21no—
539C2×D44C2×D411yescharacteristic
540C2×D44C2411yescharacteristic
541C2×D44C2411yescharacteristic
542C2×C4×D11—21no—
543C2×C4×D11—21no—
544C2×C4×D11—21no—
545C2×C4×D11—21no—
546C2×C4×D11—21no—
547C2×C4×D11—21no—
548C2×C4×D11—21no—
549C2×C4×D11—21no—
550C2×C4×D11C2×D411yescharacteristic
551C2×C4×D11C2×D411yescharacteristic
552C2×C4×D11C2×D411yescharacteristic
553C2×C4×D11C2×D411yescharacteristic
554C2×C4×D11C2411yescharacteristic
555C2×C4×D11C2411yescharacteristic
556C2×Dic22—21no—
557C2×Dic22—21no—
558C2×Dic22—21no—
559C2×Dic22C2×D411yescharacteristic
560C2×Dic22C2411yescharacteristic
561C2×Dic22C2411yescharacteristic
562C11×Q16—22no—
563C11×Q16—22no—
564C11×Q16—41no—
565C11×Q16—41no—
566C11×SD16—22no—
567C11×SD16—22no—
568C11×SD16—41no—
569C11×SD16—41no—
570C2×C8×C11—41no—
571C2×C8×C11—41no—
572C2×C8×C11C2411yescharacteristic
573C2×C8×C11C2411yescharacteristic
574C2×C8×C11C2411yescharacteristic
575C2×C8×C11C2411yescharacteristic
576C11×C4⋊C4—21no—
577C11×C4⋊C4—21no—
578C11×C4⋊C4—21no—
579C11×C4⋊C4—21no—
580C11×C4⋊C4—21no—
581C11×C4⋊C4C2411yescharacteristic
582C11×C4⋊C4C2411yescharacteristic
583C11×C22⋊C4—21no—
584C11×C22⋊C4—21no—
585C11×C22⋊C4—21no—
586C11×C22⋊C4—21no—
587C11×C22⋊C4—21no—
588C11×C22⋊C4—21no—
589C11×C22⋊C4—21no—
590C11×C22⋊C4—21no—
591C42×C11—21no—
592C42×C11—21no—
593C42×C11—21no—
594C42×C11—21no—
595C42×C11C2×D411yescharacteristic
596C42×C11C2×D411yescharacteristic
597C42×C11C2411yescharacteristic
598C42×C11C2411yescharacteristic
599C22⋊Dic11—21no—
600C22⋊Dic11—21no—
601C22⋊Dic11—21no—
602C22⋊Dic11—21no—
603C22⋊Dic11—21no—
604C22⋊Dic11—21no—
605C22⋊Dic11—21no—
606C22⋊Dic11—21no—
607C22⋊Dic11C2×D411yescharacteristic
608C22⋊Dic11C2×D411yescharacteristic
609#4326—22no—
610#4326—41no—
611#4326—41no—
612#4326—41no—
613#4325—22no—
614#4325—41no—
615#4325—41no—
616#4325—41no—
617#4324—41no—
618#4324—41no—
619#4323—41no—
620#4323—41no—
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)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4C2×D411yescharacteristic
642(C2×D11)⋊C4C2×D411yescharacteristic
643(C2×D11)⋊C4C2×D411yescharacteristic
644(C2×D11)⋊C4C2×D411yescharacteristic
645C4⋊Dic11—21no—
646C4⋊Dic11—21no—
647C4⋊Dic11—21no—
648C4⋊Dic11—21no—
649C4⋊Dic11—21no—
650C4⋊Dic11—21no—
651C4⋊Dic11C2×D411yescharacteristic
652C4⋊Dic11C2×D411yescharacteristic
653C4⋊Dic11C2411yescharacteristic
654C4⋊Dic11C2411yescharacteristic
655C4⋊Dic11C2411yescharacteristic
656C4⋊Dic11C2411yescharacteristic
657Dic11⋊C4—21no—
658Dic11⋊C4—21no—
659Dic11⋊C4—21no—
660Dic11⋊C4—21no—
661Dic11⋊C4—21no—
662Dic11⋊C4—21no—
663Dic11⋊C4—21no—
664Dic11⋊C4—21no—
665Dic11⋊C4—21no—
666Dic11⋊C4—21no—
667Dic11⋊C4—21no—
668Dic11⋊C4—21no—
669Dic11⋊C4—21no—
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4—21no—
677Dic11⋊C4C2×D411yescharacteristic
678Dic11⋊C4C2×D411yescharacteristic
679Dic11⋊C4C2×D411yescharacteristic
680Dic11⋊C4C2×D411yescharacteristic
681C4×Dic11—21no—
682C4×Dic11—21no—
683C4×Dic11—21no—
684C4×Dic11—21no—
685C4×Dic11—21no—
686C4×Dic11—21no—
687C4×Dic11—21no—
688C4×Dic11—21no—
689C4×Dic11C2×D411yescharacteristic
690C4×Dic11C2×D411yescharacteristic
691C4×Dic11C2×D411yescharacteristic
692C4×Dic11C2×D411yescharacteristic
693C4×Dic11C2411yescharacteristic
694C4×Dic11C2411yescharacteristic
695C2×C11⋊C8C2411yescharacteristic
696C2×C11⋊C8C2411yescharacteristic
697C2×C11⋊C8C2411yescharacteristic
698C2×C11⋊C8C2411yescharacteristic
699Dic44—41no—
700D88—41no—
701#4314—41no—
702#4314—41no—
703C8×D11—41no—
704C8×D11—41no—
705C8×D11—41no—
706C8×D11—41no—
707#3514—111no—
708#3482—111no—
709#3394—111no—
710#3393—111no—
711#3365—111no—
712#3364—111no—
713#3300—111no—
714#3300—111no—
715#3298—111no—
716#3296—111no—
717#3296—111no—
718#3294—111no—
719D4×Q16—111no—
720#3285—111no—
721#3285—111no—
722#3282—111no—
723#3282—111no—
724D4×SD16—111no—
725#3250—111no—
726#3250—111no—
727#3248—111no—
728#3211—111no—
729#3211—111no—
730#3210—111no—
731#3108—111no—
732#3108—111no—
733#3102—111no—
734#3035—111no—
735C2×#464—111no—
736C2×#464D1111yescharacteristic, complemented
737#2988—111no—
738C23×C11—21no—
739C23×C11—21no—
740C23×C11—42no—
741C23×C11—81no—
742C23×C11—81no—
743C23×C11C22×D411yescharacteristic
744C22×D11—21no—
745C22×D11—21no—
746C22×D11—42no—
747C22×D11—81no—
748C22×D11—81no—
749C22×D11C22×D411yescharacteristic
750C22×D11C22×D411yescharacteristic
751Q8×C11—21no—
752Q8×C11—21no—
753Q8×C11—21no—
754Q8×C11—21no—
755Q8×C11—21no—
756Q8×C11—21no—
757Q8×C11—21no—
758Q8×C11—42no—
759Q8×C11—81no—
760Q8×C11H(5,𝔽2)12yes—
761D4×C11—21no—
762D4×C11—21no—
763D4×C11—21no—
764D4×C11—21no—
765D4×C11—81no—
766C2×C4×C11—22no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11—21no—
772C2×C4×C11—21no—
773C2×C4×C11—21no—
774C2×C4×C11—21no—
775C2×C4×C11—41no—
776C2×C4×C11—42no—
777C2×C4×C11—42no—
778C2×C4×C11—81no—
779C2×C4×C11C22×D411yescharacteristic
780C2×C4×C11C22×D411yescharacteristic
781C2×C4×C11C22×D411yescharacteristic
782C2×C4×C11C22×D411yescharacteristic
783C2×C4×C11C22×D411yescharacteristic
784C2×C4×C11C2511yescharacteristic
785C22⋊D11—22no—
786C22⋊D11—42no—
787C22⋊D11—42no—
788C22⋊D11—42no—
789C22⋊D11—42no—
790C22⋊D11—81no—
791C22⋊D11—81no—
792C22⋊D11—81no—
793C22⋊D11—81no—
794C22⋊D11#13514yescomplemented
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—42no—
802C2×Dic11—81no—
803C2×Dic11—81no—
804C2×Dic11C22×D411yescharacteristic
805C2×Dic11C22×D411yescharacteristic
806C2×Dic11C22×D411yescharacteristic
807C2×Dic11C22×D411yescharacteristic
808C2×Dic11C22×D411yescharacteristic
809C2×Dic11C22×D411yescharacteristic
810D44—22no—
811D44—21no—
812D44—21no—
813D44—21no—
814D44—21no—
815D44—42no—
816D44—42no—
817D44—81no—
818C4×D11—22no—
819C4×D11—21no—
820C4×D11—21no—
821C4×D11—21no—
822C4×D11—21no—
823C4×D11—22no—
824C4×D11—41no—
825C4×D11—41no—
826C4×D11—42no—
827C4×D11—42no—
828C4×D11—42no—
829C4×D11—42no—
830C4×D11—42no—
831C4×D11—81no—
832C4×D11—81no—
833C4×D11—81no—
834Dic22—22no—
835Dic22—21no—
836Dic22—21no—
837Dic22—21no—
838Dic22—21no—
839Dic22—42no—
840Dic22—42no—
841Dic22—81no—
842C8×C11—21no—
843C8×C11—21no—
844C8×C11—21no—
845C8×C11—21no—
846C11⋊C8—21no—
847C11⋊C8—21no—
848C11⋊C8—21no—
849C11⋊C8—21no—
850C2×#135—111no—
851C2×#135—111no—
852C22×Q16—111no—
853C22×Q16C2×D1111yescharacteristic, complemented
854C22×SD16—111no—
855C22×SD16C2×D1111yescharacteristic
856#559—111no—
857#557—111no—
858#556—111no—
859#556—111no—
860#556—221no—
861#555—221no—
862#552—111no—
863#552—111no—
864#552—221no—
865#552—221no—
866#551—221no—
867#551—221no—
868D4×Q8—111no—
869D4×Q8—111no—
870#548—111no—
871#548—111no—
872#548—111no—
873#548—111no—
874#547—111no—
875#547—221no—
876#546—111no—
877#546—111no—
878#546—221no—
879D42—111no—
880#542—221no—
881#538—221no—
882#538—221no—
883#533—111no—
884#533—221no—
885#532—111no—
886#529—111no—
887#529—111no—
888#529—111no—
889#529—111no—
890#529—111no—
891#529—221no—
892#529—221no—
893C2×#124—111no—
894C2×#124C2×D1111yescharacteristic
895#518—221no—
896C4×#41—111no—
897C4×#41—111no—
898C4×#41—221no—
899C2×C4×Q8—111no—
900C2×C4×Q8C2×D1111yescharacteristic, complemented
901#495—111no—
902#495—111no—
903#495—111no—
904#495—111no—
905#494—111no—
906#492—111no—
907#488—111no—
908#488—111no—
909#488—111no—
910#488—111no—
911#487—111no—
912#486—111no—
913#485—111no—
914#483—111no—
915#483—111no—
916#482—111no—
917#480—111no—
918#480—111no—
919#479—111no—
920#479—111no—
921#479—111no—
922#479—111no—
923#479—111no—
924#478—111no—
925#478—111no—
926#478—111no—
927#475—111no—
928#474—111no—
929#467—111no—
930#467—111no—
931#467—111no—
932#467—111no—
933#466—111no—
934#466—111no—
935#465—111no—
936#465—111no—
937#465—111no—
938#465—111no—
939#465—111no—
940#465—111no—
941#464—111no—
942#464—111no—
943#464—111no—
944#464—111no—
945#464—111no—
946#464—111no—
947#464—111no—
948#464—111no—
949#464—111no—
950#464—111no—
951#464—111no—
952#464C2×D1111yescharacteristic
953#464C2×D1111yescharacteristic
954#464C2×D1111yescharacteristic
955#464C2×D1111yescharacteristic
956#464C2×D1111yescharacteristic, complemented
957#464C2×D1111yescharacteristic, complemented
958#464C2×D1111yescharacteristic, complemented
959#464C2×D1111yescharacteristic, complemented
960#463—111no—
961#463—111no—
962#463—111no—
963#463—111no—
964#463—111no—
965#462—111no—
966#462—111no—
967#461—111no—
968#461—111no—
969#460—111no—
970#459—111no—
971#452—111no—
972#452—111no—
973#452—111no—
974#452—111no—
975#452—111no—
976#451—111no—
977#451—111no—
978#451—111no—
979#451—111no—
980#450—111no—
981#450—111no—
982#449—111no—
983#448—111no—
984#448—111no—
985#448—111no—
986#448—111no—
987#447—111no—
988#447—111no—
989C8×Q8—111no—
990C8×Q8—111no—
991C4×Q16—111no—
992C4×Q16—111no—
993C4×Q16—111no—
994C4×Q16—111no—
995C4×Q16—111no—
996C4×SD16—111no—
997C4×SD16—111no—
998C4×SD16—111no—
999C4×SD16—111no—
1000C4×SD16—111no—
1001C4×SD16—111no—
1002C4×D8—111no—
1003C8×D4—111no—
1004C8×D4—111no—
1005C8×D4—111no—
1006C8×D4—111no—
1007C8×D4—111no—
1008C8×D4—111no—
1009#431—111no—
1010#431—111no—
1011#431—111no—
1012C2×C4⋊C8—111no—
1013C2×C4⋊C8—111no—
1014C2×C4⋊C8C2×D1111yescharacteristic, complemented
1015#416—111no—
1016#416—111no—
1017C2×#103—111no—
1018C2×#103C2×D1111yescharacteristic, complemented
1019C2×#102—111no—
1020C2×#102C2×D1111yescharacteristic
1021C22×C11—21no—
1022C22×C11—21no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11—41no—
1028C22×C11—41no—
1029C22×C11—162no—
1030C22×C11C2×#13512yes—
1031C22×C11C23×D411yescharacteristic
1032C2×D11—21no—
1033C2×D11—21no—
1034C2×D11—21no—
1035C2×D11—21no—
1036C2×D11—21no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—162no—
1044C2×D11C2×#13512yes—
1045C4×C11—21no—
1046C4×C11—21no—
1047C4×C11—21no—
1048C4×C11—22no—
1049C4×C11—21no—
1050C4×C11—21no—
1051C4×C11—41no—
1052C4×C11—41no—
1053C4×C11—41no—
1054C4×C11—41no—
1055C4×C11—41no—
1056C4×C11C2×H(5,𝔽2)11yescharacteristic
1057C4×C11#58511yescharacteristic
1058Dic11—21no—
1059Dic11—21no—
1060Dic11—21no—
1061Dic11—21no—
1062Dic11—21no—
1063Dic11—41no—
1064Dic11—41no—
1065Dic11—41no—
1066Dic11—41no—
1067Dic11—41no—
1068Dic11—41no—
1069Dic11C2×#13512yes—
1070C2×#41—111no—
1071C2×#41—111no—
1072C2×#41—111no—
1073C2×#41—111no—
1074C2×#41—221no—
1075C22×Q8—111no—
1076C22×Q8—111no—
1077C22×Q8C22×D1111yescharacteristic
1078C22×Q8C22×D1111yescharacteristic
1079C22×D4—111no—
1080C22×D4—221no—
1081C22×D4C22×D1111yescharacteristic
1082#135—442no—
1083#135—442no—
1084C2×Q16—42no—
1085C2×Q16—111no—
1086C2×Q16—111no—
1087C2×Q16—111no—
1088C2×Q16—111no—
1089C2×Q16—111no—
1090C2×Q16—442no—
1091C2×Q16C22×D1111yescharacteristic
1092C2×Q16C22×D1111yescharacteristic
1093C2×Q16C22×D1111yescharacteristic
1094C2×Q16C22×D1111yescharacteristic
1095C2×SD16—42no—
1096C2×SD16—111no—
1097C2×SD16—111no—
1098C2×SD16—111no—
1099C2×SD16—111no—
1100C2×SD16—111no—
1101C2×SD16—111no—
1102C2×SD16—111no—
1103C2×SD16—111no—
1104C2×SD16—442no—
1105C2×SD16C22×D1111yescharacteristic
1106C2×SD16C22×D1111yescharacteristic
1107C2×SD16C22×D1111yescharacteristic
1108C2×SD16C22×D1111yescharacteristic
1109C2×D8—111no—
1110C2×D8—111no—
1111C2×D8—111no—
1112C22×C8—111no—
1113C22×C8—111no—
1114C22×C8—111no—
1115C22×C8—111no—
1116C22×C8C22×D1111yescharacteristic
1117C22×C8C22×D1111yescharacteristic
1118C4⋊Q8—111no—
1119C4⋊Q8—111no—
1120C4⋊Q8—111no—
1121C4⋊Q8—221no—
1122C4⋊Q8—221no—
1123C4⋊Q8—221no—
1124#127—111no—
1125#126—221no—
1126#126—221no—
1127#126—221no—
1128#126—221no—
1129#126—221no—
1130#126—221no—
1131#126—221no—
1132#126—221no—
1133#126—221no—
1134#126—221no—
1135#126—221no—
1136#125—111no—
1137#125—111no—
1138#125—111no—
1139#125—221no—
1140#125—221no—
1141#125—221no—
1142#125—221no—
1143#125—221no—
1144#124—21no—
1145#124—21no—
1146#124—111no—
1147#124—111no—
1148#124—111no—
1149#124—111no—
1150#124—111no—
1151#124—221no—
1152#124—221no—
1153#124—221no—
1154#124—221no—
1155#124—221no—
1156#124—221no—
1157#124—221no—
1158#124C22×D1111yescharacteristic
1159#124C22×D1111yescharacteristic
1160#124C22×D1111yescharacteristic
1161#124C22×D1111yescharacteristic
1162#123—221no—
1163#123—221no—
1164#123—221no—
1165#123—221no—
1166#123—221no—
1167#123—221no—
1168#123—221no—
1169#123—221no—
1170#123—221no—
1171#123—221no—
1172#123—221no—
1173#123—221no—
1174#123—221no—
1175C22⋊Q8—111no—
1176C22⋊Q8—111no—
1177C22⋊Q8—111no—
1178C22⋊Q8—111no—
1179C22⋊Q8—111no—
1180C22⋊Q8—111no—
1181C22⋊Q8—111no—
1182C22⋊Q8—221no—
1183C22⋊Q8—221no—
1184C22⋊Q8—221no—
1185C22⋊Q8—221no—
1186C22⋊Q8—221no—
1187C22⋊Q8—221no—
1188C22⋊Q8—221no—
1189C22⋊Q8—221no—
1190C22⋊Q8—221no—
1191C22⋊Q8—221no—
1192C22⋊Q8—221no—
1193C22⋊Q8—221no—
1194#121—111no—
1195#121—111no—
1196#121—111no—
1197#121—111no—
1198#121—111no—
1199#121—221no—
1200#121—221no—
1201#121—221no—
1202#121—221no—
1203#121—221no—
1204#121—221no—
1205#121—221no—
1206#121—221no—
1207#121—221no—
1208#120—221no—
1209#120—221no—
1210#120—221no—
1211#120—221no—
1212C4×Q8—21no—
1213C4×Q8—21no—
1214C4×Q8—111no—
1215C4×Q8—111no—
1216C4×Q8—111no—
1217C4×Q8—111no—
1218C4×Q8—111no—
1219C4×Q8—111no—
1220C4×Q8—111no—
1221C4×Q8—111no—
1222C4×Q8—111no—
1223C4×Q8—221no—
1224C4×Q8—221no—
1225C4×Q8—221no—
1226C4×Q8—221no—
1227C4×Q8C22×D1111yescharacteristic
1228C4×Q8C22×D1111yescharacteristic
1229C4×Q8C22×D1111yescharacteristic
1230C4×Q8C22×D1111yescharacteristic
1231C4×D4—111no—
1232C4×D4—111no—
1233C4×D4—111no—
1234C4×D4—111no—
1235C4×D4—111no—
1236C4×D4—111no—
1237C4×D4—111no—
1238C4×D4—111no—
1239C4×D4—111no—
1240C4×D4—111no—
1241C4×D4—111no—
1242C4×D4—221no—
1243C4×D4—221no—
1244C4×D4—221no—
1245C4×D4—221no—
1246C4×D4—221no—
1247C4×D4—221no—
1248C4×D4—221no—
1249C4×D4—221no—
1250C4×D4—221no—
1251C4×D4—221no—
1252C4×D4—221no—
1253C4×D4—221no—
1254C4×D4—221no—
1255C4×D4—221no—
1256C4×D4—221no—
1257C4×D4—221no—
1258#117—111no—
1259#117—111no—
1260#117—111no—
1261#117—111no—
1262#117—221no—
1263#117—221no—
1264#117—221no—
1265#117—221no—
1266#117—221no—
1267#117—221no—
1268#117—221no—
1269#117—221no—
1270#117—221no—
1271#117—221no—
1272#117—221no—
1273C2×C4⋊C4—21no—
1274C2×C4⋊C4—111no—
1275C2×C4⋊C4—221no—
1276C2×C4⋊C4C22×D1111yescharacteristic
1277C2×C22⋊C4—21no—
1278C2×C22⋊C4—21no—
1279C2×C22⋊C4—221no—
1280C2×C22⋊C4—221no—
1281C2×C22⋊C4—221no—
1282C2×C22⋊C4—221no—
1283C2×C42—21no—
1284C2×C42—111no—
1285C2×C42—111no—
1286C2×C42—221no—
1287C2×C42—221no—
1288C2×C42C22×D1111yescharacteristic
1289#107—111no—
1290#107—111no—
1291#107—111no—
1292#107—111no—
1293#106—111no—
1294#106—111no—
1295#106—111no—
1296#106—111no—
1297C4⋊C8—111no—
1298C4⋊C8—111no—
1299C4⋊C8—111no—
1300C4⋊C8—111no—
1301C4⋊C8—111no—
1302C4⋊C8—111no—
1303C4⋊C8C22×D1111yescharacteristic
1304C4⋊C8C22×D1111yescharacteristic
1305C4⋊C8C22×D1111yescharacteristic
1306C4⋊C8C22×D1111yescharacteristic
1307#103—111no—
1308#103—111no—
1309#103—111no—
1310#103—111no—
1311#103—111no—
1312#103—111no—
1313#103—111no—
1314#103—111no—
1315#103—111no—
1316#103—111no—
1317#103—111no—
1318#103—111no—
1319#103—111no—
1320#103—111no—
1321#103C22×D1111yescharacteristic
1322#103C22×D1111yescharacteristic
1323#103C22×D1111yescharacteristic
1324#103C22×D1111yescharacteristic
1325#102—111no—
1326#102—111no—
1327#102—111no—
1328#102—111no—
1329#102—111no—
1330#102—111no—
1331#102—111no—
1332#102—111no—
1333#102—111no—
1334#102—111no—
1335#102C22×D1111yescharacteristic
1336#102C22×D1111yescharacteristic
1337#102C22×D1111yescharacteristic
1338#102C22×D1111yescharacteristic
1339C22⋊C8—111no—
1340C22⋊C8—111no—
1341C22⋊C8—111no—
1342C22⋊C8—111no—
1343C22⋊C8—111no—
1344C22⋊C8—111no—
1345C4×C8—111no—
1346C4×C8—111no—
1347C4×C8—111no—
1348C4×C8—111no—
1349C4×C8—111no—
1350C4×C8—111no—
1351C2×C11—22no—
1352C2×C11—81no—
1353C2×C11—81no—
1354C2×C11#348811yescharacteristic
1355C2×C11C22×#13511yescharacteristic
1356C2×C11#358611yescharacteristic
1357D11—22no—
1358D11—41no—
1359D11—81no—
1360D11—81no—
1361C24—21no—
1362C24—221no—
1363#41—224no—
1364#41—222no—
1365#41—444no—
1366#41—441no—
1367#41—441no—
1368#41—441no—
1369#41—441no—
1370#41—441no—
1371C2×Q8—21no—
1372C2×Q8—21no—
1373C2×Q8—22no—
1374C2×Q8—41no—
1375C2×Q8—41no—
1376C2×Q8—41no—
1377C2×Q8—111no—
1378C2×Q8—111no—
1379C2×Q8—111no—
1380C2×Q8—221no—
1381C2×Q8—221no—
1382C2×Q8—221no—
1383C2×Q8—222no—
1384C2×Q8—441no—
1385C2×Q8—441no—
1386C2×Q8—441no—
1387C2×Q8C23×D1111yescharacteristic
1388C2×Q8C23×D1111yescharacteristic
1389C2×Q8C23×D1111yescharacteristic
1390C2×Q8C23×D1111yescharacteristic
1391C2×D4—21no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4—111no—
1395C2×D4—111no—
1396C2×D4—111no—
1397C2×D4—111no—
1398C2×D4—111no—
1399C2×D4—221no—
1400C2×D4—221no—
1401C2×D4—221no—
1402C2×D4—221no—
1403C2×D4—221no—
1404C2×D4—221no—
1405C2×D4—221no—
1406C2×D4—221no—
1407C2×D4—221no—
1408C2×D4—221no—
1409C2×D4—221no—
1410C2×D4—441no—
1411C2×D4—441no—
1412C2×D4—444no—
1413C2×D4C23×D1111yescharacteristic
1414C2×D4C23×D1111yescharacteristic
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—111no—
1419C22×C4—111no—
1420C22×C4—111no—
1421C22×C4—111no—
1422C22×C4—111no—
1423C22×C4—111no—
1424C22×C4—221no—
1425C22×C4—221no—
1426C22×C4—221no—
1427C22×C4—221no—
1428C22×C4—221no—
1429C22×C4—221no—
1430C22×C4—221no—
1431C22×C4—221no—
1432C22×C4—221no—
1433C22×C4—221no—
1434C22×C4—221no—
1435C22×C4D4×D1111yescharacteristic
1436C22×C4D4×D1111yescharacteristic
1437C22×C4C23×D1111yescharacteristic
1438Q16—22no—
1439Q16—22no—
1440Q16—41no—
1441Q16—41no—
1442Q16—222no—
1443Q16—441no—
1444Q16—441no—
1445Q16—441no—
1446Q16—441no—
1447SD16—22no—
1448SD16—22no—
1449SD16—41no—
1450SD16—41no—
1451SD16—222no—
1452SD16—441no—
1453SD16—441no—
1454SD16—441no—
1455SD16—441no—
1456SD16—441no—
1457SD16—441no—
1458SD16—441no—
1459D8—441no—
1460D8—441no—
1461D8—441no—
1462C2×C8—41no—
1463C2×C8—41no—
1464C2×C8—111no—
1465C2×C8—111no—
1466C2×C8—111no—
1467C2×C8—111no—
1468C2×C8—441no—
1469C2×C8—441no—
1470C2×C8—441no—
1471C2×C8—441no—
1472C2×C8C23×D1111yescharacteristic
1473C2×C8C23×D1111yescharacteristic
1474C2×C8C23×D1111yescharacteristic
1475C2×C8C23×D1111yescharacteristic
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
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—111no—
1490C4⋊C4—111no—
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⋊C4—221no—
1505C4⋊C4—221no—
1506C4⋊C4—221no—
1507C4⋊C4—221no—
1508C4⋊C4—221no—
1509C4⋊C4—221no—
1510C4⋊C4—221no—
1511C4⋊C4—221no—
1512C4⋊C4—221no—
1513C4⋊C4—221no—
1514C4⋊C4—221no—
1515C4⋊C4—221no—
1516C4⋊C4—221no—
1517C4⋊C4C23×D1111yescharacteristic
1518C4⋊C4C23×D1111yescharacteristic
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—111no—
1528C22⋊C4—111no—
1529C22⋊C4—111no—
1530C22⋊C4—111no—
1531C22⋊C4—111no—
1532C22⋊C4—111no—
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⋊C4—221no—
1553C22⋊C4—221no—
1554C22⋊C4—221no—
1555C22⋊C4—221no—
1556C22⋊C4—221no—
1557C22⋊C4—221no—
1558C22⋊C4—221no—
1559C22⋊C4—221no—
1560C22⋊C4—221no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—111no—
1566C42—111no—
1567C42—111no—
1568C42—111no—
1569C42—111no—
1570C42—111no—
1571C42—221no—
1572C42—221no—
1573C42—221no—
1574C42—221no—
1575C42—221no—
1576C42—221no—
1577C42—221no—
1578C42—221no—
1579C42D4×D1111yescharacteristic
1580C42D4×D1111yescharacteristic
1581C42C23×D1111yescharacteristic
1582C42C23×D1111yescharacteristic
1583C11#6195611yescharacteristic, complemented, Sylow
1584C23—21no—
1585C23—21no—
1586C23—42no—
1587C23—81no—
1588C23—81no—
1589C23—111no—
1590C23—111no—
1591C23—221no—
1592C23—221no—
1593C23—442no—
1594C23—881no—
1595C23—881no—
1596C23C2×D4×D1111yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—42no—
1605Q8—81no—
1606Q8—222no—
1607Q8—221no—
1608Q8—221no—
1609Q8—221no—
1610Q8—221no—
1611Q8—442no—
1612Q8—442no—
1613Q8—881no—
1614Q8#6703712yes—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—81no—
1620D4—114no—
1621D4—222no—
1622D4—222no—
1623D4—221no—
1624D4—221no—
1625D4—221no—
1626D4—221no—
1627D4—442no—
1628D4—442no—
1629D4—442no—
1630D4—442no—
1631D4—442no—
1632D4—442no—
1633D4—881no—
1634D4—881no—
1635D4—881no—
1636D4—881no—
1637D4—881no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—41no—
1648C2×C4—42no—
1649C2×C4—42no—
1650C2×C4—81no—
1651C2×C4—111no—
1652C2×C4—111no—
1653C2×C4—111no—
1654C2×C4—111no—
1655C2×C4—111no—
1656C2×C4—111no—
1657C2×C4—222no—
1658C2×C4—222no—
1659C2×C4—221no—
1660C2×C4—221no—
1661C2×C4—221no—
1662C2×C4—221no—
1663C2×C4—221no—
1664C2×C4—221no—
1665C2×C4—221no—
1666C2×C4—221no—
1667C2×C4—221no—
1668C2×C4—221no—
1669C2×C4—441no—
1670C2×C4—441no—
1671C2×C4—442no—
1672C2×C4—442no—
1673C2×C4—442no—
1674C2×C4—442no—
1675C2×C4—442no—
1676C2×C4—442no—
1677C2×C4—881no—
1678C2×C4—881no—
1679C2×C4—881no—
1680C2×C4—881no—
1681C2×C4—881no—
1682C2×C4C2×D4×D1111yescharacteristic
1683C2×C4C2×D4×D1111yescharacteristic
1684C2×C4C2×D4×D1111yescharacteristic
1685C2×C4C2×D4×D1111yescharacteristic
1686C2×C4C2×D4×D1111yescharacteristic
1687C2×C4C24×D1111yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—221no—
1693C8—221no—
1694C8—221no—
1695C8—221no—
1696C22—21no—
1697C22—21no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—112no—
1705C22—162no—
1706C22—221no—
1707C22—221no—
1708C22—221no—
1709C22—221no—
1710C22—221no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—441no—
1716C22—441no—
1717C22—1762no—
1718C22D11×#13512yes—
1719C22C22×D4×D1111yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—22no—
1724C4—21no—
1725C4—21no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—112no—
1732C4—221no—
1733C4—221no—
1734C4—221no—
1735C4—221no—
1736C4—221no—
1737C4—441no—
1738C4—441no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C4C2×#6703711yescharacteristic
1744C4#1062345311yescharacteristic
1745C2—22no—
1746C2—81no—
1747C2—81no—
1748C2—222no—
1749C2—441no—
1750C2—881no—
1751C2—881no—
1752C2#1308228111yescharacteristic
1753C2C2×D11×#13511yescharacteristic
1754C2#1308339911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#464C2
socleC22×C11C23×D4
hypercenterC2×#464D11
hypocenterC11#61956
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ C2×#464

Complements

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

NH ≅ G/Ntype
1. #13082571C2semidirect
2. #13082233C2semidirect
3. #13081607C2semidirect
4. #13081599C2semidirect
5. #13081307C2semidirect
6. #13081296C2semidirect
7. #13080510C2semidirect
8. #13080499C2semidirect
9. #13080477C2semidirect
10. #13080458C2semidirect
11. #13080447C2semidirect
12. #13080425C2semidirect
13. Q16×C22⋊D11C2semidirect
14. #13080357C2semidirect
15. #13080352C2semidirect
16. #13080323C2semidirect
17. #13080318C2semidirect
18. SD16×C22⋊D11C2semidirect
19. #13079968C2semidirect
20. #13079966C2semidirect
21. #13079950C2semidirect
22. #13079585C2semidirect
23. #13079581C2semidirect
24. #13079571C2semidirect
25. #13078696C2semidirect
26. #13078695C2semidirect
27. #13078633C2semidirect
28. #13078070C2semidirect
29. D11×#464C2semidirect
30. #13077725C2semidirect
31. C2×C11×#464C2semidirect
32. C22×C11×Q16C22semidirect
35. C2×C4×Q8×C11C22semidirect
37. #10623348C22semidirect
42. C2×#66972C22semidirect
43. C2×Q16×D11C22semidirect
44. C2×#66969C22semidirect
59. #10623112C22semidirect
61. #10623111C22semidirect
63. #10623109C22semidirect
64. #10623107C22semidirect
65. C4×#4343C22semidirect
66. C4×Q8×D11C22semidirect
67. #10623100C22semidirect
69. #10623099C22semidirect
71. #10623044C22semidirect
80. #10623010C22semidirect
87. C11×#464C22semidirect
88. C11×#464C22semidirect
89. C11×#464C22semidirect
90. C11×#464C22semidirect
91. C2×C11×C4⋊C8C22semidirect
92. C2×C11×#103C22semidirect
94. #10622841C22semidirect
95. #10622841C22semidirect
97. #10622840C22semidirect
100. #10622804C22semidirect
101. #10622801C22semidirect
102. #10622801C22semidirect
103. #10622800C22semidirect
104. #10622800C22semidirect
105. #10622799C22semidirect
106. #10622799C22semidirect
107. #10622798C22semidirect
108. #10622798C22semidirect
109. Q16×Dic11C22semidirect
110. Q16×Dic11C22semidirect
111. #10622795C22semidirect
112. #10622795C22semidirect
113. #10622794C22semidirect
115. #10622786C22semidirect
123. #10622778C22semidirect
127. SD16×Dic11C22semidirect
128. #10622729C22semidirect
131. #10622727C22semidirect
134. C8×C22⋊D11C22semidirect
135. C8×C22⋊D11C22semidirect
137. #10622672C22semidirect
139. #10622670C22semidirect
141. #10622669C22semidirect
143. #10622667C22semidirect
144. C4×#4326C22semidirect
145. C4×#4326C22semidirect
146. #10622641C22semidirect
147. #10622641C22semidirect
148. C4×#4325C22semidirect
149. C4×#4325C22semidirect
150. #10622635C22semidirect
151. #10622635C22semidirect
152. #10622584C22semidirect
154. #10622538C22semidirect
155. #10622460C22semidirect
156. #10622460C22semidirect
157. #10622458C22semidirect
158. #10622458C22semidirect
159. #10622457C22semidirect
160. #10622457C22semidirect
161. #10622447C22semidirect
162. #10622447C22semidirect
163. #10622446C22semidirect
164. #10622446C22semidirect
165. D11×C4⋊C8C22semidirect
166. D11×C4⋊C8C22semidirect
167. #10622443C22semidirect
168. #10622443C22semidirect
169. #10622442C22semidirect
170. #10622442C22semidirect
171. #10622431C22semidirect
172. #10622428C22semidirect
173. #10622426C22semidirect
174. #10622423C22semidirect
175. #10622420C22semidirect
176. #10622419C22semidirect
177. #10622418C22semidirect
178. #10622417C22semidirect
179. D11×#103C22semidirect
180. #10622413C22semidirect
181. #10622412C22semidirect
182. #10622411C22semidirect
183. #10622405C22semidirect
184. #10622404C22semidirect
185. #10622403C22semidirect
186. #10622401C22semidirect
189. #10622396C22semidirect
194. #10622385C22semidirect
198. #10622379C22semidirect
201. #10622371C22semidirect
736. C2×#464D11semidirect
794. C22⋊D11#135semidirect
853. C22×Q16C2×D11semidirect
900. C2×C4×Q8C2×D11semidirect
956. #464C2×D11semidirect
957. #464C2×D11semidirect
958. #464C2×D11semidirect
959. #464C2×D11semidirect
1014. C2×C4⋊C8C2×D11semidirect
1018. C2×#103C2×D11semidirect
1583. C11#61956semidirect

Maximal subgroups

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

subgroupindex
#130825712
#130822332
#130816072
#130815992
#130813072
#130812962
#130805102
#130804992
#130804772
#130804582
#130804472
#130804252
Q16×C22⋊D112
#130803572
#130803522
#130803232
#130803182
SD16×C22⋊D112
#130799682
#130799662
#130799502
#130795852
#130795812
#130795712
#130786962
#130786952
#130786332
#130780702
D11×#4642
#130777252
C2×C11×#4642
#6195611