Finite Group Databasebeta

← #15647015

Subgroups — #15647015

Order 2816.

1868 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082571C211yesmaximal, characteristic, complemented
2#13082214C211yesmaximal, characteristic, complemented
3#13081623C211yesmaximal, characteristic, complemented
4#13081615C211yesmaximal, characteristic, complemented
5#13081307C211yesmaximal, characteristic, complemented
6#13081296C211yesmaximal, characteristic, complemented
7#13080895C211yesmaximal, characteristic, complemented
8#13080876C211yesmaximal, characteristic, complemented
9#13080865C211yesmaximal, characteristic, complemented
10#13080843C211yesmaximal, characteristic, complemented
11#13080824C211yesmaximal, characteristic, complemented
12#13080813C211yesmaximal, characteristic, complemented
13#13080276C211yesmaximal, characteristic, complemented
14#13080268C211yesmaximal, characteristic, complemented
15#13080267C211yesmaximal, characteristic, complemented
16#13080247C211yesmaximal, characteristic, complemented
17#13080242C211yesmaximal, characteristic, complemented
18#13080230C211yesmaximal, characteristic, complemented
19#13080017C211yesmaximal, characteristic, complemented
20#13080014C211yesmaximal, characteristic, complemented
21#13079975C211yesmaximal, characteristic, complemented
22#13079581C211yesmaximal, characteristic, complemented
23#13079579C211yesmaximal, characteristic, complemented
24#13079548C211yesmaximal, characteristic, complemented
25#13078695C211yesmaximal, characteristic, complemented
26#13078634C211yesmaximal, characteristic, complemented
27#13078633C211yesmaximal, characteristic, complemented
28#13078107C211yesmaximal, characteristic, complemented
29#13078086C211yesmaximal, characteristic, complemented
30#13077746C211yesmaximal, characteristic, complemented
31C11×#3040C211yesmaximal, characteristic, complemented
32C2×C11×#137C2211yescharacteristic, complemented
33C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
34C2×C11×#124C2211yescharacteristic
35C4×C11×#41C2211yescharacteristic, complemented
36#10623365C2211yescharacteristic
37#10623362C2211yescharacteristic, complemented
38#10623348C2211yescharacteristic
39Q8×C22⋊D11C2211yescharacteristic
40#10623337C2211yescharacteristic
41D4×C22⋊D11C2211yescharacteristic
42C2×#66971C2211yescharacteristic, complemented
43C2×#66971C2211yescharacteristic, complemented
44C2×#66968C2211yescharacteristic, complemented
45C2×#66967C2211yescharacteristic
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#10623107C2211yescharacteristic, complemented
59C4×#4343C2211yescharacteristic, complemented
60C4×Q8×D11C2211yescharacteristic, complemented
61#10623100C2211yescharacteristic, complemented
62#10623090—21no—
63#10623090C2211yescharacteristic, complemented
64#10623089—21no—
65#10623089C2211yescharacteristic, complemented
66#10623088—21no—
67#10623088C2211yescharacteristic, complemented
68#10623079—21no—
69#10623079C2211yescharacteristic, complemented
70#10623064—21no—
71#10623064C2211yescharacteristic
72#10623061—21no—
73#10623061C2211yescharacteristic, complemented
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, complemented
86C11×#464C2211yescharacteristic, complemented
87C11×#463C2211yescharacteristic
88C11×#463C2211yescharacteristic
89C11×#463C2211yescharacteristic, complemented
90C11×#463C2211yescharacteristic, complemented
91C11×#423C2211yescharacteristic, complemented
92C11×#419C2211yescharacteristic, complemented
93C11×#418C2211yescharacteristic
94#10622852C2211yescharacteristic, complemented
95#10622851C2211yescharacteristic
96#10622841C2211yescharacteristic, complemented
97#10622840C2211yescharacteristic, complemented
98#10622831C2211yescharacteristic
99#10622830C2211yescharacteristic
100#10622800C2211yescharacteristic, complemented
101#10622799C2211yescharacteristic, complemented
102#10622798C2211yescharacteristic, complemented
103Q16×Dic11C2211yescharacteristic, complemented
104Q16×Dic11C2211yescharacteristic, complemented
105#10622795C2211yescharacteristic, complemented
106#10622788C2211yescharacteristic, complemented
107#10622787C2211yescharacteristic, complemented
108#10622787C2211yescharacteristic, complemented
109#10622785C2211yescharacteristic
110#10622785C2211yescharacteristic, complemented
111#10622783C2211yescharacteristic
112#10622783C2211yescharacteristic, complemented
113#10622781C2211yescharacteristic, complemented
114#10622779C2211yescharacteristic
115#10622779C2211yescharacteristic, complemented
116#10622776C2211yescharacteristic
117#10622776C2211yescharacteristic, complemented
118SD16×Dic11C2211yescharacteristic
119SD16×Dic11C2211yescharacteristic, complemented
120#10622772C2211yescharacteristic
121#10622772C2211yescharacteristic
122#10622771C2211yescharacteristic, complemented
123#10622769C2211yescharacteristic
124#10622768C2211yescharacteristic
125#10622766C2211yescharacteristic, complemented
126#10622764C2211yescharacteristic
127#10622763C2211yescharacteristic
128#10622750C2211yescharacteristic, complemented
129#10622748C2211yescharacteristic
130#10622747C2211yescharacteristic
131#10622747C2211yescharacteristic, complemented
132#10622741C2211yescharacteristic
133#10622741C2211yescharacteristic
134#10622741C2211yescharacteristic, complemented
135#10622741C2211yescharacteristic, complemented
136#10622672C2211yescharacteristic
137#10622672C2211yescharacteristic, complemented
138#10622670C2211yescharacteristic
139#10622670C2211yescharacteristic, complemented
140#10622669C2211yescharacteristic
141#10622669C2211yescharacteristic, complemented
142#10622667C2211yescharacteristic
143#10622667C2211yescharacteristic, complemented
144C4×#4326C2211yescharacteristic, complemented
145#10622641C2211yescharacteristic, complemented
146C4×#4325C2211yescharacteristic, complemented
147#10622635C2211yescharacteristic, complemented
148C4×#4324C2211yescharacteristic, complemented
149#10622629C2211yescharacteristic, complemented
150C4×#4323C2211yescharacteristic, complemented
151#10622622C2211yescharacteristic, complemented
152#10622616C2211yescharacteristic
153#10622609C2211yescharacteristic, complemented
154#10622538C2211yescharacteristic, complemented
155#10622460C2211yescharacteristic, complemented
156#10622460C2211yescharacteristic, complemented
157#10622458C2211yescharacteristic, complemented
158#10622458C2211yescharacteristic, complemented
159#10622457C2211yescharacteristic, complemented
160#10622457C2211yescharacteristic, complemented
161#10622451C2211yescharacteristic, complemented
162#10622451C2211yescharacteristic, complemented
163#10622450C2211yescharacteristic, complemented
164#10622450C2211yescharacteristic, complemented
165#10622446C2211yescharacteristic, complemented
166#10622446C2211yescharacteristic, complemented
167#10622443C2211yescharacteristic, complemented
168#10622443C2211yescharacteristic, complemented
169#10622442C2211yescharacteristic, complemented
170#10622442C2211yescharacteristic, complemented
171#10622432C2211yescharacteristic, complemented
172#10622429C2211yescharacteristic, complemented
173#10622428C2211yescharacteristic, complemented
174#10622425C2211yescharacteristic, complemented
175#10622424C2211yescharacteristic, complemented
176#10622421C2211yescharacteristic, complemented
177#10622418C2211yescharacteristic, complemented
178#10622416C2211yescharacteristic, complemented
179#10622415C2211yescharacteristic, complemented
180#10622413C2211yescharacteristic, complemented
181#10622412C2211yescharacteristic, complemented
182#10622406C2211yescharacteristic, complemented
183#10622405C2211yescharacteristic, complemented
184#10622404C2211yescharacteristic, complemented
185#10622403C2211yescharacteristic, complemented
186#10622401C2211yescharacteristic, complemented
187#10622400C2211yescharacteristic
188#10622397C2211yescharacteristic
189#10622395C2211yescharacteristic
190#10622394C2211yescharacteristic, complemented
191#10622393C2211yescharacteristic
192#10622389C2211yescharacteristic
193#10622387C2211yescharacteristic
194#10622384C2211yescharacteristic, complemented
195#10622383C2211yescharacteristic
196#10622381C2211yescharacteristic
197#10622379C2211yescharacteristic, complemented
198#10622375C2211yescharacteristic
199#10622373C2211yescharacteristic
200#10622372C2211yescharacteristic
201#10622371C2211yescharacteristic
202#10622369C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
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
215C11×#137—42no—
216C11×AGL(1,ℤ/8)—42no—
217C2×C11×Q16C2311yescharacteristic
218C2×C11×Q16C2311yescharacteristic
219C2×C11×SD16C2311yescharacteristic
220C2×C11×SD16C2311yescharacteristic
221C2×C11×SD16C2311yescharacteristic
222C2×C11×SD16C2311yescharacteristic
223C2×C11×D8C2311yescharacteristic
224C2×C11×D8C2311yescharacteristic
225C2×C11×M16C2311yescharacteristic
226C2×C11×M16C2311yescharacteristic
227C11×#124—21no—
228C11×#124—21no—
229C11×#124C2311yescharacteristic
230C11×#124C2311yescharacteristic
231C11×#124C2311yescharacteristic
232C11×#124C2311yescharacteristic
233C4×Q8×C11C2311yescharacteristic
234C4×Q8×C11C2311yescharacteristic
235C4×D4×C11—21no—
236C4×D4×C11—21no—
237C4×D4×C11C2311yescharacteristic
238C4×D4×C11C2311yescharacteristic
239C11×#117—21no—
240C11×#117C2311yescharacteristic
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#67000C2311yescharacteristic
250#66999—21no—
251#66999—21no—
252#66999C2311yescharacteristic
253#66999C2311yescharacteristic
254Q8×Dic11C2311yescharacteristic
255Q8×Dic11C2311yescharacteristic
256Q8×Dic11C2311yescharacteristic
257Q8×Dic11C2311yescharacteristic
258#66997—21no—
259#66997C2311yescharacteristic
260C2×#4326C2311yescharacteristic
261C2×#4326C2311yescharacteristic
262C2×#4326C2311yescharacteristic
263C2×#4325C2311yescharacteristic
264C2×#4325C2311yescharacteristic
265C2×#4325C2311yescharacteristic
266#66993—21no—
267#66993C2311yescharacteristic
268#66993C2311yescharacteristic
269#66992—21no—
270#66992—21no—
271#66991—21no—
272#66991—21no—
273#66991C2311yescharacteristic
274#66991C2311yescharacteristic
275#66991C2311yescharacteristic
276#66991C2311yescharacteristic
277#66990—21no—
278#66989—21no—
279#66989C2311yescharacteristic
280#66989C2311yescharacteristic
281#66988—21no—
282D4×Dic11C2311yescharacteristic
283D4×Dic11C2311yescharacteristic
284C2×#4324C2311yescharacteristic
285C2×#4324C2311yescharacteristic
286C2×#4324C2311yescharacteristic
287C2×#4323C2311yescharacteristic
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⋊D11—21no—
305C4×C22⋊D11—21no—
306C4×C22⋊D11—21no—
307C4×C22⋊D11—21no—
308C4×C22⋊D11D411yescharacteristic
309C4×C22⋊D11D411yescharacteristic
310C4×C22⋊D11C2311yescharacteristic
311C4×C22⋊D11C2311yescharacteristic
312#66979—21no—
313#66979D411yescharacteristic
314#66977—21no—
315#66977—21no—
316#66977C2311yescharacteristic
317#66977C2311yescharacteristic
318#66971—42no—
319#66971—42no—
320#66968—42no—
321#66967—42no—
322C2×Dic44C2311yescharacteristic
323C2×D88C2311yescharacteristic
324C2×#4314C2311yescharacteristic
325C2×#4314C2311yescharacteristic
326C2×#4313C2311yescharacteristic
327C2×#4313C2311yescharacteristic
328C2×#4313C2311yescharacteristic
329C2×#4313C2311yescharacteristic
330#66950—21no—
331#66950C2311yescharacteristic
332#66948—21no—
333#66948C2311yescharacteristic
334#66946—21no—
335#66946C2311yescharacteristic
336#66945—21no—
337#66945C2311yescharacteristic
338C4⋊C4×D11—21no—
339C4⋊C4×D11C2311yescharacteristic
340#66943—21no—
341#66943C2311yescharacteristic
342#66941—21no—
343#66941C2311yescharacteristic
344#66940—21no—
345#66940C2311yescharacteristic
346#66939—21no—
347#66938—21no—
348#66938—21no—
349#66938—21no—
350#66938—21no—
351#66938—21no—
352#66938—21no—
353#66938—21no—
354#66937—21no—
355#66937—21no—
356#66937—21no—
357#66937—21no—
358#66937—21no—
359#66937—21no—
360#66937—21no—
361#66936—21no—
362#66936—21no—
363#66936—21no—
364#66936—21no—
365#66936—21no—
366#66936—21no—
367#66936—21no—
368#66935—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—
374(C22⋊D11)⋊C4—21no—
375C22⋊C4×D11—21no—
376C22⋊C4×D11—21no—
377C22⋊C4×D11—21no—
378#66932—21no—
379#66932—21no—
380#66932—21no—
381#66932—21no—
382#66932—21no—
383#66932—21no—
384#66932—21no—
385#66931—21no—
386#66931—21no—
387#66930—21no—
388#66930—21no—
389#66930—21no—
390#66929—21no—
391#66929—21no—
392#66929—21no—
393#66929—21no—
394#66928—21no—
395#66928C2311yescharacteristic
396#66928C2311yescharacteristic
397C4×D44—21no—
398C4×D44—21no—
399C4×D44—21no—
400C4×D44D411yescharacteristic
401C4×D44C2311yescharacteristic
402C4×D44C2311yescharacteristic
403C4×D44C2311yescharacteristic
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#66896C2311yescharacteristic
441#66896C2311yescharacteristic
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#62006—111nomaximal, Sylow
485C24×C11—21no—
486C23×D11—21no—
487C11×#41—22no—
488C11×#41—41no—
489C2×Q8×C11—21no—
490C2×Q8×C11—41no—
491C2×Q8×C11—41no—
492C2×Q8×C11C2411yescharacteristic
493C2×Q8×C11C2411yescharacteristic
494C2×Q8×C11C2411yescharacteristic
495C2×D4×C11—21no—
496C2×D4×C11—21no—
497C2×D4×C11—41no—
498C2×D4×C11—41no—
499C2×D4×C11C2411yescharacteristic
500C2×D4×C11C2411yescharacteristic
501C2×D4×C11C2411yescharacteristic
502C22×C4×C11—21no—
503C22×C4×C11—21no—
504C22×C4×C11—21no—
505C22×C4×C11—21no—
506C22×C4×C11C2×D411yescharacteristic
507C22×C4×C11C2×D411yescharacteristic
508C22×C4×C11C2411yescharacteristic
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—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—44no—
522C2×C22⋊D11C2×D411yescharacteristic
523C2×C22⋊D11C2×D411yescharacteristic
524C22×Dic11—21no—
525C22×Dic11—21no—
526C22×Dic11—21no—
527#4343—22no—
528#4343—41no—
529#4343—41no—
530#4343—41no—
531Q8×D11—22no—
532Q8×D11—41no—
533Q8×D11—41no—
534Q8×D11—41no—
535#4341—41no—
536#4341—41no—
537D4×D11—41no—
538D4×D11—41no—
539#4339—42no—
540#4339—44no—
541C2×D44—21no—
542C2×D44—21no—
543C2×D44—21no—
544C2×D44C2×D411yescharacteristic
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×D11C2×D411yescharacteristic
556C2×C4×D11C2×D411yescharacteristic
557C2×C4×D11C2×D411yescharacteristic
558C2×C4×D11C2×D411yescharacteristic
559C2×C4×D11C2411yescharacteristic
560C2×C4×D11C2411yescharacteristic
561C2×Dic22—21no—
562C2×Dic22—21no—
563C2×Dic22—21no—
564C2×Dic22C2×D411yescharacteristic
565C2×Dic22C2411yescharacteristic
566C2×Dic22C2411yescharacteristic
567C11×Q16—22no—
568C11×Q16—22no—
569C11×SD16—22no—
570C11×SD16—22no—
571C11×SD16—41no—
572C11×SD16—41no—
573C11×D8—41no—
574C11×D8—41no—
575C11×M16—41no—
576C11×M16—41no—
577C2×C8×C11C2411yescharacteristic
578C2×C8×C11C2411yescharacteristic
579C2×C8×C11C2411yescharacteristic
580C2×C8×C11C2411yescharacteristic
581C11×C4⋊C4—21no—
582C11×C4⋊C4—21no—
583C11×C4⋊C4C2411yescharacteristic
584C11×C4⋊C4C2411yescharacteristic
585C11×C22⋊C4—21no—
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⋊C4—21no—
594C11×C22⋊C4—21no—
595C11×C22⋊C4—21no—
596C42×C11—21no—
597C42×C11—21no—
598C42×C11—21no—
599C42×C11C2×D411yescharacteristic
600C42×C11C2×D411yescharacteristic
601C42×C11C2411yescharacteristic
602C42×C11C2411yescharacteristic
603C22⋊Dic11—21no—
604C22⋊Dic11—21no—
605C22⋊Dic11—21no—
606C22⋊Dic11—21no—
607C22⋊Dic11—21no—
608C22⋊Dic11—21no—
609C22⋊Dic11—21no—
610C22⋊Dic11—21no—
611C22⋊Dic11—21no—
612C22⋊Dic11—21no—
613C22⋊Dic11—21no—
614C22⋊Dic11—21no—
615C22⋊Dic11C2×D411yescharacteristic
616C22⋊Dic11C2×D411yescharacteristic
617#4326—22no—
618#4326—41no—
619#4326—41no—
620#4325—22no—
621#4325—41no—
622#4325—41no—
623#4324—41no—
624#4324—41no—
625#4324—41no—
626#4323—41no—
627#4323—41no—
628#4323—41no—
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)⋊C4—21no—
642(C2×D11)⋊C4—21no—
643(C2×D11)⋊C4—21no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4C2×D411yescharacteristic
646(C2×D11)⋊C4C2×D411yescharacteristic
647(C2×D11)⋊C4C2×D411yescharacteristic
648(C2×D11)⋊C4C2×D411yescharacteristic
649C4⋊Dic11—21no—
650C4⋊Dic11—21no—
651C4⋊Dic11—21no—
652C4⋊Dic11—21no—
653C4⋊Dic11—21no—
654C4⋊Dic11—21no—
655C4⋊Dic11C2×D411yescharacteristic
656C4⋊Dic11C2×D411yescharacteristic
657C4⋊Dic11C2411yescharacteristic
658C4⋊Dic11C2411yescharacteristic
659C4⋊Dic11C2411yescharacteristic
660C4⋊Dic11C2411yescharacteristic
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—
703#4313—41no—
704#4313—41no—
705#4313—41no—
706#4313—41no—
707#3514—111no—
708#3480—111no—
709#3396—111no—
710#3394—111no—
711#3365—111no—
712#3364—111no—
713#3328—111no—
714#3326—111no—
715#3326—111no—
716#3324—111no—
717#3322—111no—
718#3322—111no—
719#3278—111no—
720#3277—111no—
721#3277—111no—
722#3275—111no—
723#3275—111no—
724#3274—111no—
725#3256—111no—
726#3256—111no—
727#3251—111no—
728#3211—111no—
729#3211—111no—
730#3207—111no—
731#3108—111no—
732#3102—111no—
733#3102—111no—
734#3040—111no—
735#3040D1111yescharacteristic, complemented
736#3037—111no—
737#2991—111no—
738C23×C11—21no—
739C23×C11—21no—
740C23×C11—21no—
741C23×C11—42no—
742C23×C11—81no—
743C23×C11—81no—
744C23×C11C22×D411yescharacteristic
745C22×D11—21no—
746C22×D11—21no—
747C22×D11—42no—
748C22×D11—81no—
749C22×D11—81no—
750C22×D11C22×D411yescharacteristic
751C22×D11C22×D411yescharacteristic
752Q8×C11—21no—
753Q8×C11—21no—
754Q8×C11—21no—
755Q8×C11—21no—
756Q8×C11—21no—
757Q8×C11—81no—
758Q8×C11H(5,𝔽2)12yes—
759D4×C11—21no—
760D4×C11—21no—
761D4×C11—21no—
762D4×C11—21no—
763D4×C11—21no—
764D4×C11—21no—
765D4×C11—42no—
766D4×C11—81no—
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—41no—
775C2×C4×C11—41no—
776C2×C4×C11—42no—
777C2×C4×C11—42no—
778C2×C4×C11—81no—
779C2×C4×C11—81no—
780C2×C4×C11C22×D411yescharacteristic
781C2×C4×C11C22×D411yescharacteristic
782C2×C4×C11C22×D411yescharacteristic
783C2×C4×C11C22×D411yescharacteristic
784C2×C4×C11C22×D411yescharacteristic
785C2×C4×C11C2511yescharacteristic
786C22⋊D11—22no—
787C22⋊D11—41no—
788C22⋊D11—42no—
789C22⋊D11—42no—
790C22⋊D11—42no—
791C22⋊D11—42no—
792C22⋊D11—42no—
793C22⋊D11—81no—
794C22⋊D11—81no—
795C22⋊D11—81no—
796C22⋊D11—81no—
797C22⋊D11—81no—
798C22⋊D11—81no—
799C22⋊D11—81no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—42no—
807C2×Dic11—81no—
808C2×Dic11—81no—
809C2×Dic11C22×D411yescharacteristic
810C2×Dic11C22×D411yescharacteristic
811C2×Dic11C22×D411yescharacteristic
812C2×Dic11C22×D411yescharacteristic
813C2×Dic11C22×D411yescharacteristic
814C2×Dic11C22×D411yescharacteristic
815D44—21no—
816D44—21no—
817D44—21no—
818D44—21no—
819D44—41no—
820D44—42no—
821D44—42no—
822D44—81no—
823C4×D11—21no—
824C4×D11—21no—
825C4×D11—21no—
826C4×D11—21no—
827C4×D11—22no—
828C4×D11—41no—
829C4×D11—41no—
830C4×D11—41no—
831C4×D11—42no—
832C4×D11—42no—
833C4×D11—42no—
834C4×D11—81no—
835C4×D11—81no—
836C4×D11—81no—
837C4×D11—81no—
838C4×D11—81no—
839Dic22—22no—
840Dic22—21no—
841Dic22—21no—
842Dic22—21no—
843Dic22—21no—
844Dic22—42no—
845Dic22—42no—
846Dic22—81no—
847C8×C11—21no—
848C8×C11—21no—
849C8×C11—21no—
850C8×C11—21no—
851C11⋊C8—21no—
852C11⋊C8—21no—
853C11⋊C8—21no—
854C11⋊C8—21no—
855C2×#137—111no—
856C2×#137—111no—
857C2×#137—111no—
858C2×#137C2×D1111yescharacteristic, complemented
859C2×AGL(1,ℤ/8)—111no—
860C2×AGL(1,ℤ/8)C2×D1111yescharacteristic
861#559—111no—
862#559—111no—
863#559—221no—
864#557—111no—
865#556—111no—
866#556—111no—
867#556—221no—
868#555—221no—
869#553—111no—
870#553—111no—
871#553—221no—
872#553—221no—
873#551—221no—
874#551—221no—
875#550—111no—
876D4×Q8—111no—
877#548—111no—
878#548—111no—
879#548—111no—
880#548—111no—
881#546—111no—
882#546—111no—
883#546—221no—
884D42—111no—
885#542—221no—
886#538—221no—
887#538—221no—
888#532—111no—
889#532—111no—
890#532—221no—
891#529—111no—
892#529—111no—
893#529—111no—
894#529—111no—
895#529—111no—
896#529—221no—
897#529—221no—
898C2×#124—111no—
899C2×#124C2×D1111yescharacteristic
900#518—221no—
901C4×#41—111no—
902C4×#41—111no—
903C4×#41—221no—
904C4×#41C2×D1111yescharacteristic, complemented
905C2×C4×Q8—111no—
906#495—111no—
907#495—111no—
908#495—111no—
909#495—111no—
910#493—111no—
911#492—111no—
912#488—111no—
913#488—111no—
914#488—111no—
915#488—111no—
916#487—111no—
917#486—111no—
918#485—111no—
919#485—111no—
920#483—111no—
921#482—111no—
922#482—111no—
923#480—111no—
924#479—111no—
925#479—111no—
926#479—111no—
927#479—111no—
928#478—111no—
929#478—111no—
930#478—111no—
931#478—111no—
932#475—111no—
933#474—111no—
934#470—111no—
935#470—111no—
936#469—111no—
937#469—111no—
938#469—111no—
939#469—111no—
940#468—111no—
941#468—111no—
942#468—111no—
943#468—111no—
944#468—111no—
945#468—111no—
946#464—111no—
947#464—111no—
948#464—111no—
949#464—111no—
950#464—111no—
951#464—111no—
952#464—111no—
953#464—111no—
954#464C2×D1111yescharacteristic
955#464C2×D1111yescharacteristic
956#464C2×D1111yescharacteristic, complemented
957#464C2×D1111yescharacteristic, complemented
958#463—111no—
959#463—111no—
960#463—111no—
961#463—111no—
962#463—111no—
963#463—111no—
964#463—111no—
965#463—111no—
966#463C2×D1111yescharacteristic
967#463C2×D1111yescharacteristic
968#463C2×D1111yescharacteristic, complemented
969#463C2×D1111yescharacteristic, complemented
970#462—111no—
971#462—111no—
972#460—111no—
973#460—111no—
974#460—111no—
975#459—111no—
976#452—111no—
977#452—111no—
978#451—111no—
979#451—111no—
980#451—111no—
981#450—111no—
982#450—111no—
983#449—111no—
984#449—111no—
985#449—111no—
986#449—111no—
987#449—111no—
988#449—111no—
989#448—111no—
990#448—111no—
991#448—111no—
992#447—111no—
993#447—111no—
994C8×Q8—111no—
995C8×Q8—111no—
996C4×Q16—111no—
997C4×Q16—111no—
998C4×Q16—111no—
999C4×Q16—111no—
1000C4×SD16—111no—
1001C4×SD16—111no—
1002C4×SD16—111no—
1003C4×SD16—111no—
1004C4×SD16—111no—
1005C4×SD16—111no—
1006C4×D8—111no—
1007C4×D8—111no—
1008#436—111no—
1009#436—111no—
1010#436—111no—
1011#436—111no—
1012#436—111no—
1013#436—111no—
1014#431—111no—
1015#431—111no—
1016#431—111no—
1017#423—111no—
1018#423—111no—
1019#423C2×D1111yescharacteristic, complemented
1020#419—111no—
1021#419C2×D1111yescharacteristic, complemented
1022#418—111no—
1023#418C2×D1111yescharacteristic
1024#417—111no—
1025#417—111no—
1026C22×C11—21no—
1027C22×C11—21no—
1028C22×C11—21no—
1029C22×C11—41no—
1030C22×C11—41no—
1031C22×C11—41no—
1032C22×C11—41no—
1033C22×C11—41no—
1034C22×C11—41no—
1035C22×C11—41no—
1036C22×C11—41no—
1037C22×C11—41no—
1038C22×C11—162no—
1039C22×C11C23×D411yescharacteristic
1040C2×D11—21no—
1041C2×D11—21no—
1042C2×D11—21no—
1043C2×D11—21no—
1044C2×D11—21no—
1045C2×D11—21no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—162no—
1053C4×C11—21no—
1054C4×C11—21no—
1055C4×C11—21no—
1056C4×C11—22no—
1057C4×C11—21no—
1058C4×C11—21no—
1059C4×C11—41no—
1060C4×C11—41no—
1061C4×C11—41no—
1062C4×C11—41no—
1063C4×C11C2×H(5,𝔽2)11yescharacteristic
1064C4×C11#58511yescharacteristic
1065Dic11—21no—
1066Dic11—21no—
1067Dic11—21no—
1068Dic11—21no—
1069Dic11—21no—
1070Dic11—41no—
1071Dic11—41no—
1072Dic11—41no—
1073Dic11—41no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11#57512yes—
1077C2×#41—111no—
1078C2×#41—111no—
1079C2×#41—111no—
1080C2×#41—111no—
1081C2×#41—221no—
1082C2×#41C22×D1111yescharacteristic
1083C22×Q8—111no—
1084C22×Q8—111no—
1085C22×Q8C22×D1111yescharacteristic
1086C22×D4—111no—
1087C22×D4—221no—
1088C22×D4C22×D1111yescharacteristic
1089#137—42no—
1090#137—442no—
1091#137—442no—
1092#137—442no—
1093AGL(1,ℤ/8)—42no—
1094AGL(1,ℤ/8)—442no—
1095C2×Q16—111no—
1096C2×Q16—111no—
1097C2×Q16—111no—
1098C2×Q16—111no—
1099C2×Q16C22×D1111yescharacteristic
1100C2×Q16C22×D1111yescharacteristic
1101C2×SD16—111no—
1102C2×SD16—111no—
1103C2×SD16—111no—
1104C2×SD16—111no—
1105C2×SD16—111no—
1106C2×SD16—111no—
1107C2×SD16—111no—
1108C2×SD16—111no—
1109C2×SD16C22×D1111yescharacteristic
1110C2×SD16C22×D1111yescharacteristic
1111C2×SD16C22×D1111yescharacteristic
1112C2×SD16C22×D1111yescharacteristic
1113C2×D8—111no—
1114C2×D8—111no—
1115C2×D8—111no—
1116C2×D8—111no—
1117C2×D8C22×D1111yescharacteristic
1118C2×D8C22×D1111yescharacteristic
1119C2×M16—111no—
1120C2×M16—111no—
1121C2×M16—111no—
1122C2×M16—111no—
1123C2×M16C22×D1111yescharacteristic
1124C2×M16C22×D1111yescharacteristic
1125C4⋊Q8—111no—
1126C4⋊Q8—111no—
1127C4⋊Q8—221no—
1128C4⋊Q8—221no—
1129#127—111no—
1130#127—111no—
1131#127—221no—
1132#126—221no—
1133#126—221no—
1134#126—221no—
1135#126—221no—
1136#126—221no—
1137#126—221no—
1138#126—221no—
1139#126—221no—
1140#126—221no—
1141#126—221no—
1142#126—221no—
1143#125—111no—
1144#125—111no—
1145#125—111no—
1146#125—221no—
1147#125—221no—
1148#124—21no—
1149#124—21no—
1150#124—111no—
1151#124—111no—
1152#124—111no—
1153#124—111no—
1154#124—111no—
1155#124—221no—
1156#124—221no—
1157#124—221no—
1158#124—221no—
1159#124—221no—
1160#124—221no—
1161#124—221no—
1162#124—221no—
1163#124—221no—
1164#124—221no—
1165#124C22×D1111yescharacteristic
1166#124C22×D1111yescharacteristic
1167#124C22×D1111yescharacteristic
1168#124C22×D1111yescharacteristic
1169#123—221no—
1170#123—221no—
1171#123—221no—
1172#123—221no—
1173#123—221no—
1174#123—221no—
1175#123—221no—
1176#123—221no—
1177#123—221no—
1178#123—221no—
1179#123—221no—
1180#123—221no—
1181#123—221no—
1182C22⋊Q8—111no—
1183C22⋊Q8—111no—
1184C22⋊Q8—111no—
1185C22⋊Q8—111no—
1186C22⋊Q8—111no—
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—111no—
1200#121—111no—
1201#121—221no—
1202#121—221no—
1203#121—221no—
1204#121—221no—
1205#121—221no—
1206#121—221no—
1207#121—221no—
1208#121—221no—
1209#121—221no—
1210#121—221no—
1211#121—221no—
1212#121—221no—
1213#121—221no—
1214#121—221no—
1215#120—221no—
1216#120—221no—
1217#120—221no—
1218#120—221no—
1219C4×Q8—111no—
1220C4×Q8—111no—
1221C4×Q8—111no—
1222C4×Q8—111no—
1223C4×Q8—111no—
1224C4×Q8—111no—
1225C4×Q8—111no—
1226C4×Q8—111no—
1227C4×Q8—111no—
1228C4×Q8—221no—
1229C4×Q8—221no—
1230C4×Q8—221no—
1231C4×Q8—221no—
1232C4×Q8C22×D1111yescharacteristic
1233C4×Q8C22×D1111yescharacteristic
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—111no—
1237C4×D4—111no—
1238C4×D4—111no—
1239C4×D4—111no—
1240C4×D4—111no—
1241C4×D4—111no—
1242C4×D4—111no—
1243C4×D4—111no—
1244C4×D4—111no—
1245C4×D4—111no—
1246C4×D4—111no—
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—
1258C4×D4—221no—
1259C4×D4—221no—
1260C4×D4—221no—
1261C4×D4—221no—
1262C4×D4—221no—
1263C4×D4—221no—
1264C4×D4—221no—
1265C4×D4—221no—
1266C4×D4—221no—
1267C4×D4C22×D1111yescharacteristic
1268C4×D4C22×D1111yescharacteristic
1269#117—21no—
1270#117—111no—
1271#117—111no—
1272#117—111no—
1273#117—111no—
1274#117—221no—
1275#117—221no—
1276#117—221no—
1277#117—221no—
1278#117—221no—
1279#117—221no—
1280#117—221no—
1281#117C22×D1111yescharacteristic
1282C2×C4⋊C4—111no—
1283C2×C4⋊C4—221no—
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—21no—
1286C2×C22⋊C4—221no—
1287C2×C22⋊C4—221no—
1288C2×C22⋊C4—221no—
1289C2×C22⋊C4—221no—
1290C2×C42—21no—
1291C2×C42—111no—
1292C2×C42—111no—
1293C2×C42—221no—
1294C2×C42—221no—
1295C2×C42C22×D1111yescharacteristic
1296#107—111no—
1297#107—111no—
1298#107—111no—
1299#107—111no—
1300#106—111no—
1301#106—111no—
1302#106—111no—
1303#106—111no—
1304C4⋊C8—111no—
1305C4⋊C8—111no—
1306C4⋊C8—111no—
1307C4⋊C8—111no—
1308C4⋊C8—111no—
1309C4⋊C8—111no—
1310C4⋊C8C22×D1111yescharacteristic
1311C4⋊C8C22×D1111yescharacteristic
1312C4⋊C8C22×D1111yescharacteristic
1313C4⋊C8C22×D1111yescharacteristic
1314#103—111no—
1315#103—111no—
1316#103—111no—
1317#103—111no—
1318#103—111no—
1319#103—111no—
1320#103—111no—
1321#103—111no—
1322#103—111no—
1323#103—111no—
1324#103—111no—
1325#103—111no—
1326#103C22×D1111yescharacteristic
1327#103C22×D1111yescharacteristic
1328#103C22×D1111yescharacteristic
1329#103C22×D1111yescharacteristic
1330#102—111no—
1331#102—111no—
1332#102—111no—
1333#102—111no—
1334#102—111no—
1335#102—111no—
1336#102—111no—
1337#102—111no—
1338#102—111no—
1339#102—111no—
1340#102—111no—
1341#102—111no—
1342#102C22×D1111yescharacteristic
1343#102C22×D1111yescharacteristic
1344#102C22×D1111yescharacteristic
1345#102C22×D1111yescharacteristic
1346C22⋊C8—111no—
1347C22⋊C8—111no—
1348C22⋊C8—111no—
1349C22⋊C8—111no—
1350C22⋊C8—111no—
1351C22⋊C8—111no—
1352C4×C8—111no—
1353C4×C8—111no—
1354C4×C8—111no—
1355C4×C8—111no—
1356C4×C8—111no—
1357C4×C8—111no—
1358C2×C11—41no—
1359C2×C11—81no—
1360C2×C11—81no—
1361C2×C11—81no—
1362C2×C11#348811yescharacteristic
1363C2×C11C2×#57511yescharacteristic
1364C2×C11#358411yescharacteristic
1365D11—41no—
1366D11—41no—
1367D11—81no—
1368D11—81no—
1369C24—21no—
1370C24—221no—
1371#41—22no—
1372#41—41no—
1373#41—222no—
1374#41—442no—
1375#41—444no—
1376#41—441no—
1377#41—441no—
1378#41—441no—
1379#41—441no—
1380#41—441no—
1381C2×Q8—21no—
1382C2×Q8—41no—
1383C2×Q8—41no—
1384C2×Q8—111no—
1385C2×Q8—111no—
1386C2×Q8—111no—
1387C2×Q8—221no—
1388C2×Q8—221no—
1389C2×Q8—221no—
1390C2×Q8—222no—
1391C2×Q8—441no—
1392C2×Q8—441no—
1393C2×Q8—441no—
1394C2×Q8C23×D1111yescharacteristic
1395C2×Q8C23×D1111yescharacteristic
1396C2×Q8C23×D1111yescharacteristic
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—111no—
1402C2×D4—111no—
1403C2×D4—111no—
1404C2×D4—111no—
1405C2×D4—111no—
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—221no—
1415C2×D4—221no—
1416C2×D4—221no—
1417C2×D4—221no—
1418C2×D4—221no—
1419C2×D4—221no—
1420C2×D4—221no—
1421C2×D4—441no—
1422C2×D4—441no—
1423C2×D4—444no—
1424C2×D4C23×D1111yescharacteristic
1425C2×D4C23×D1111yescharacteristic
1426C2×D4C23×D1111yescharacteristic
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—111no—
1432C22×C4—111no—
1433C22×C4—111no—
1434C22×C4—111no—
1435C22×C4—111no—
1436C22×C4—111no—
1437C22×C4—221no—
1438C22×C4—221no—
1439C22×C4—221no—
1440C22×C4—221no—
1441C22×C4—221no—
1442C22×C4—221no—
1443C22×C4—221no—
1444C22×C4—221no—
1445C22×C4—221no—
1446C22×C4—221no—
1447C22×C4—221no—
1448C22×C4D4×D1111yescharacteristic
1449C22×C4D4×D1111yescharacteristic
1450C22×C4C23×D1111yescharacteristic
1451Q16—22no—
1452Q16—22no—
1453Q16—222no—
1454Q16—441no—
1455Q16—441no—
1456Q16—441no—
1457SD16—22no—
1458SD16—22no—
1459SD16—41no—
1460SD16—41no—
1461SD16—222no—
1462SD16—441no—
1463SD16—441no—
1464SD16—441no—
1465SD16—441no—
1466SD16—441no—
1467SD16—441no—
1468SD16—441no—
1469D8—41no—
1470D8—41no—
1471D8—441no—
1472D8—441no—
1473D8—441no—
1474D8—441no—
1475M16—41no—
1476M16—41no—
1477M16—441no—
1478M16—441no—
1479M16—441no—
1480M16—441no—
1481C2×C8—111no—
1482C2×C8—111no—
1483C2×C8—111no—
1484C2×C8—111no—
1485C2×C8C23×D1111yescharacteristic
1486C2×C8C23×D1111yescharacteristic
1487C2×C8C23×D1111yescharacteristic
1488C2×C8C23×D1111yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—111no—
1492C4⋊C4—111no—
1493C4⋊C4—111no—
1494C4⋊C4—111no—
1495C4⋊C4—111no—
1496C4⋊C4—111no—
1497C4⋊C4—111no—
1498C4⋊C4—111no—
1499C4⋊C4—111no—
1500C4⋊C4—111no—
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⋊C4—221no—
1518C4⋊C4—221no—
1519C4⋊C4—221no—
1520C4⋊C4—221no—
1521C4⋊C4—221no—
1522C4⋊C4—221no—
1523C4⋊C4C23×D1111yescharacteristic
1524C4⋊C4C23×D1111yescharacteristic
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—111no—
1537C22⋊C4—111no—
1538C22⋊C4—111no—
1539C22⋊C4—111no—
1540C22⋊C4—111no—
1541C22⋊C4—111no—
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—
1561C22⋊C4—221no—
1562C22⋊C4—221no—
1563C22⋊C4—221no—
1564C22⋊C4—221no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4—221no—
1569C22⋊C4—221no—
1570C42—21no—
1571C42—21no—
1572C42—21no—
1573C42—111no—
1574C42—111no—
1575C42—111no—
1576C42—111no—
1577C42—111no—
1578C42—111no—
1579C42—221no—
1580C42—221no—
1581C42—221no—
1582C42—221no—
1583C42—221no—
1584C42—221no—
1585C42—221no—
1586C42—221no—
1587C42D4×D1111yescharacteristic
1588C42D4×D1111yescharacteristic
1589C42C23×D1111yescharacteristic
1590C42C23×D1111yescharacteristic
1591C11#6200611yescharacteristic, complemented, Sylow
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—42no—
1596C23—81no—
1597C23—81no—
1598C23—111no—
1599C23—111no—
1600C23—221no—
1601C23—221no—
1602C23—442no—
1603C23—881no—
1604C23—881no—
1605C23C2×D4×D1111yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—21no—
1611Q8—81no—
1612Q8—222no—
1613Q8—221no—
1614Q8—221no—
1615Q8—221no—
1616Q8—221no—
1617Q8—442no—
1618Q8—442no—
1619Q8—881no—
1620Q8#6703712yes—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—42no—
1628D4—81no—
1629D4—222no—
1630D4—221no—
1631D4—221no—
1632D4—221no—
1633D4—221no—
1634D4—441no—
1635D4—442no—
1636D4—442no—
1637D4—442no—
1638D4—442no—
1639D4—441no—
1640D4—442no—
1641D4—442no—
1642D4—442no—
1643D4—881no—
1644D4—881no—
1645D4—881no—
1646D4—881no—
1647D4—881no—
1648D4—881no—
1649D4—881no—
1650D4—881no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—42no—
1661C2×C4—42no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—111no—
1665C2×C4—111no—
1666C2×C4—111no—
1667C2×C4—111no—
1668C2×C4—111no—
1669C2×C4—111no—
1670C2×C4—222no—
1671C2×C4—221no—
1672C2×C4—221no—
1673C2×C4—221no—
1674C2×C4—221no—
1675C2×C4—221no—
1676C2×C4—221no—
1677C2×C4—221no—
1678C2×C4—221no—
1679C2×C4—221no—
1680C2×C4—221no—
1681C2×C4—441no—
1682C2×C4—441no—
1683C2×C4—441no—
1684C2×C4—442no—
1685C2×C4—442no—
1686C2×C4—442no—
1687C2×C4—442no—
1688C2×C4—881no—
1689C2×C4—881no—
1690C2×C4—881no—
1691C2×C4—881no—
1692C2×C4—881no—
1693C2×C4—881no—
1694C2×C4—881no—
1695C2×C4C2×D4×D1111yescharacteristic
1696C2×C4C2×D4×D1111yescharacteristic
1697C2×C4C2×D4×D1111yescharacteristic
1698C2×C4C2×D4×D1111yescharacteristic
1699C2×C4C2×D4×D1111yescharacteristic
1700C2×C4C24×D1111yescharacteristic
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—221no—
1706C8—221no—
1707C8—221no—
1708C8—221no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—162no—
1722C22—221no—
1723C22—221no—
1724C22—221no—
1725C22—221no—
1726C22—221no—
1727C22—221no—
1728C22—441no—
1729C22—441no—
1730C22—441no—
1731C22—441no—
1732C22—441no—
1733C22—441no—
1734C22—1762no—
1735C22C22×D4×D1111yescharacteristic
1736C4—21no—
1737C4—22no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—112no—
1747C4—221no—
1748C4—221no—
1749C4—221no—
1750C4—221no—
1751C4—221no—
1752C4—441no—
1753C4—441no—
1754C4—441no—
1755C4—441no—
1756C4—441no—
1757C4—441no—
1758C4C2×#6703711yescharacteristic
1759C4#1062345311yescharacteristic
1760C2—41no—
1761C2—81no—
1762C2—81no—
1763C2—81no—
1764C2—441no—
1765C2—441no—
1766C2—881no—
1767C2—881no—
1768C2#1308228111yescharacteristic
1769C2D11×#57511yescharacteristic
1770C2#1308338911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3040C2
socleC22×C11C23×D4
hypercenter#3040D11
hypocenterC11#62006
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3040

Complements

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

NH ≅ G/Ntype
1. #13082571C2semidirect
2. #13082214C2semidirect
3. #13081623C2semidirect
4. #13081615C2semidirect
5. #13081307C2semidirect
6. #13081296C2semidirect
7. #13080895C2semidirect
8. #13080876C2semidirect
9. #13080865C2semidirect
10. #13080843C2semidirect
11. #13080824C2semidirect
12. #13080813C2semidirect
13. #13080276C2semidirect
14. #13080268C2semidirect
15. #13080267C2semidirect
16. #13080247C2semidirect
17. #13080242C2semidirect
18. #13080230C2semidirect
19. #13080017C2semidirect
20. #13080014C2semidirect
21. #13079975C2semidirect
22. #13079581C2semidirect
23. #13079579C2semidirect
24. #13079548C2semidirect
25. #13078695C2semidirect
26. #13078634C2semidirect
27. #13078633C2semidirect
28. #13078107C2semidirect
29. #13078086C2semidirect
30. #13077746C2semidirect
31. C11×#3040C2semidirect
32. C2×C11×#137C22semidirect
35. C4×C11×#41C22semidirect
37. #10623362C22semidirect
42. C2×#66971C22semidirect
43. C2×#66971C22semidirect
44. C2×#66968C22semidirect
58. #10623107C22semidirect
59. C4×#4343C22semidirect
60. C4×Q8×D11C22semidirect
61. #10623100C22semidirect
63. #10623090C22semidirect
65. #10623089C22semidirect
67. #10623088C22semidirect
69. #10623079C22semidirect
73. #10623061C22semidirect
80. #10623010C22semidirect
85. C11×#464C22semidirect
86. C11×#464C22semidirect
89. C11×#463C22semidirect
90. C11×#463C22semidirect
91. C11×#423C22semidirect
92. C11×#419C22semidirect
94. #10622852C22semidirect
96. #10622841C22semidirect
97. #10622840C22semidirect
100. #10622800C22semidirect
101. #10622799C22semidirect
102. #10622798C22semidirect
103. Q16×Dic11C22semidirect
104. Q16×Dic11C22semidirect
105. #10622795C22semidirect
106. #10622788C22semidirect
107. #10622787C22semidirect
108. #10622787C22semidirect
110. #10622785C22semidirect
112. #10622783C22semidirect
113. #10622781C22semidirect
115. #10622779C22semidirect
117. #10622776C22semidirect
119. SD16×Dic11C22semidirect
122. #10622771C22semidirect
125. #10622766C22semidirect
128. #10622750C22semidirect
131. #10622747C22semidirect
134. #10622741C22semidirect
135. #10622741C22semidirect
137. #10622672C22semidirect
139. #10622670C22semidirect
141. #10622669C22semidirect
143. #10622667C22semidirect
144. C4×#4326C22semidirect
145. #10622641C22semidirect
146. C4×#4325C22semidirect
147. #10622635C22semidirect
148. C4×#4324C22semidirect
149. #10622629C22semidirect
150. C4×#4323C22semidirect
151. #10622622C22semidirect
153. #10622609C22semidirect
154. #10622538C22semidirect
155. #10622460C22semidirect
156. #10622460C22semidirect
157. #10622458C22semidirect
158. #10622458C22semidirect
159. #10622457C22semidirect
160. #10622457C22semidirect
161. #10622451C22semidirect
162. #10622451C22semidirect
163. #10622450C22semidirect
164. #10622450C22semidirect
165. #10622446C22semidirect
166. #10622446C22semidirect
167. #10622443C22semidirect
168. #10622443C22semidirect
169. #10622442C22semidirect
170. #10622442C22semidirect
171. #10622432C22semidirect
172. #10622429C22semidirect
173. #10622428C22semidirect
174. #10622425C22semidirect
175. #10622424C22semidirect
176. #10622421C22semidirect
177. #10622418C22semidirect
178. #10622416C22semidirect
179. #10622415C22semidirect
180. #10622413C22semidirect
181. #10622412C22semidirect
182. #10622406C22semidirect
183. #10622405C22semidirect
184. #10622404C22semidirect
185. #10622403C22semidirect
186. #10622401C22semidirect
190. #10622394C22semidirect
194. #10622384C22semidirect
197. #10622379C22semidirect
202. #10622369C22semidirect
735. #3040D11semidirect
858. C2×#137C2×D11semidirect
904. C4×#41C2×D11semidirect
956. #464C2×D11semidirect
957. #464C2×D11semidirect
968. #463C2×D11semidirect
969. #463C2×D11semidirect
1019. #423C2×D11semidirect
1021. #419C2×D11semidirect
1591. C11#62006semidirect

Maximal subgroups

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

subgroupindex
#130825712
#130822142
#130816232
#130816152
#130813072
#130812962
#130808952
#130808762
#130808652
#130808432
#130808242
#130808132
#130802762
#130802682
#130802672
#130802472
#130802422
#130802302
#130800172
#130800142
#130799752
#130795812
#130795792
#130795482
#130786952
#130786342
#130786332
#130781072
#130780862
#130777462
C11×#30402
#6200611