Finite Group Databasebeta

← #15630736

Subgroups — #15630736

Order 2816.

2132 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082169C211yesmaximal, characteristic, complemented
2#13082105C211yesmaximal, characteristic, complemented
3#13080947C211yesmaximal, characteristic, complemented
4#13080939C211yesmaximal, characteristic, complemented
5#13080927C211yesmaximal, characteristic, complemented
6#13080919C211yesmaximal, characteristic, complemented
7#13080906C211yesmaximal, characteristic, complemented
8#13080892C211yesmaximal, characteristic, complemented
9#13080889C211yesmaximal, characteristic, complemented
10#13080869C211yesmaximal, characteristic, complemented
11#13080866C211yesmaximal, characteristic, complemented
12#13080856C211yesmaximal, characteristic, complemented
13#13080842C211yesmaximal, characteristic, complemented
14#13080839C211yesmaximal, characteristic, complemented
15#13080826C211yesmaximal, characteristic, complemented
16#13080819C211yesmaximal, characteristic, complemented
17#13080816C211yesmaximal, characteristic, complemented
18#13078937C211yesmaximal, characteristic, complemented
19#13078532C211yesmaximal, characteristic, complemented
20#13078528C211yesmaximal, characteristic, complemented
21#13078403C211yesmaximal, characteristic, complemented
22#13078227C211yesmaximal, characteristic, complemented
23#13078220C211yesmaximal, characteristic, complemented
24#13078070C211yesmaximal, characteristic, complemented
25#13077839C211yesmaximal, characteristic, complemented
26#13077837C211yesmaximal, characteristic, complemented
27C4×#66972C211yesmaximal, characteristic, complemented
28D11×#436C211yesmaximal, characteristic, complemented
29#13077134C211yesmaximal, characteristic, complemented
30#13077132C211yesmaximal, characteristic, complemented
31C11×#3327C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C22×#4343C2211yescharacteristic
34C11×#552C2211yescharacteristic, complemented
35C11×#548C2211yescharacteristic
36#10623365C2211yescharacteristic
37Q8×C22⋊D11C2211yescharacteristic
38C2×#66972C2211yescharacteristic
39C2×#66972C2211yescharacteristic, complemented
40C2×#66969C2211yescharacteristic, complemented
41C2×M16×D11C2211yescharacteristic, complemented
42C2×M16×D11C2211yescharacteristic, complemented
43#10623237—21no—
44#10623236—21no—
45#10623226C2211yescharacteristic, complemented
46#10623224—21no—
47#10623222—21no—
48#10623219C2211yescharacteristic, complemented
49#10623207—21no—
50#10623207C2211yescharacteristic
51#10623199—21no—
52#10623199C2211yescharacteristic
53#10623185—21no—
54#10623180—21no—
55#10623172C2211yescharacteristic
56#10623166C2211yescharacteristic, complemented
57#10623162—21no—
58#10623162C2211yescharacteristic
59#10623158—21no—
60#10623158C2211yescharacteristic
61#10623158C2211yescharacteristic, complemented
62#10623158C2211yescharacteristic, complemented
63#10623140—21no—
64#10623140C2211yescharacteristic
65#10623137—21no—
66#10623137C2211yescharacteristic
67#10623112C2211yescharacteristic, complemented
68#10623107C2211yescharacteristic
69C4×#4343C2211yescharacteristic
70C4×#4343C2211yescharacteristic, complemented
71#10623096C2211yescharacteristic, complemented
72#10623081—21no—
73#10623081C2211yescharacteristic
74C4×D4×D11—21no—
75C4×D4×D11C2211yescharacteristic
76#10623063C2211yescharacteristic
77#10623058—21no—
78#10623053—21no—
79D11×#117C2211yescharacteristic, complemented
80#10623038C2211yescharacteristic, complemented
81C2×#66945C2211yescharacteristic, complemented
82C11×#488C2211yescharacteristic, complemented
83C11×#484C2211yescharacteristic, complemented
84C11×#482C2211yescharacteristic, complemented
85C11×#479C2211yescharacteristic, complemented
86C11×#470C2211yescharacteristic, complemented
87C11×#468C2211yescharacteristic, complemented
88C11×#464C2211yescharacteristic, complemented
89C11×#452C2211yescharacteristic, complemented
90C11×#451C2211yescharacteristic, complemented
91C4×C11×Q16C2211yescharacteristic, complemented
92C11×#436C2211yescharacteristic, complemented
93C11×#419C2211yescharacteristic, complemented
94C11×#417C2211yescharacteristic, complemented
95#10622851C2211yescharacteristic, complemented
96#10622845C2211yescharacteristic, complemented
97#10622840C2211yescharacteristic, complemented
98#10622838C2211yescharacteristic, complemented
99#10622802C2211yescharacteristic, complemented
100#10622800C2211yescharacteristic, complemented
101#10622800C2211yescharacteristic, complemented
102#10622799C2211yescharacteristic, complemented
103Q16×Dic11C2211yescharacteristic, complemented
104#10622795C2211yescharacteristic, complemented
105#10622787C2211yescharacteristic, complemented
106#10622782C2211yescharacteristic, complemented
107#10622776C2211yescharacteristic, complemented
108#10622748C2211yescharacteristic, complemented
109#10622747C2211yescharacteristic, complemented
110#10622746C2211yescharacteristic, complemented
111#10622744C2211yescharacteristic, complemented
112#10622741C2211yescharacteristic
113#10622741C2211yescharacteristic, complemented
114#10622681C2211yescharacteristic, complemented
115#10622679C2211yescharacteristic, complemented
116#10622670C2211yescharacteristic, complemented
117#10622669C2211yescharacteristic, complemented
118#10622665C2211yescharacteristic, complemented
119#10622662C2211yescharacteristic, complemented
120#10622662C2211yescharacteristic, complemented
121#10622660C2211yescharacteristic, complemented
122#10622659C2211yescharacteristic, complemented
123#10622656C2211yescharacteristic, complemented
124#10622652C2211yescharacteristic, complemented
125#10622648C2211yescharacteristic, complemented
126#10622641C2211yescharacteristic, complemented
127C4×#4325C2211yescharacteristic, complemented
128C4×#4325C2211yescharacteristic, complemented
129#10622635C2211yescharacteristic, complemented
130#10622625C2211yescharacteristic, complemented
131#10622614C2211yescharacteristic, complemented
132#10622609C2211yescharacteristic, complemented
133#10622581C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622503C2211yescharacteristic, complemented
136#10622499C2211yescharacteristic, complemented
137#10622498C2211yescharacteristic, complemented
138#10622498C2211yescharacteristic, complemented
139#10622497C2211yescharacteristic, complemented
140#10622493C2211yescharacteristic, complemented
141#10622493C2211yescharacteristic, complemented
142#10622485C2211yescharacteristic, complemented
143#10622483C2211yescharacteristic, complemented
144#10622478C2211yescharacteristic, complemented
145#10622475C2211yescharacteristic, complemented
146#10622473C2211yescharacteristic, complemented
147#10622460C2211yescharacteristic, complemented
148#10622457C2211yescharacteristic, complemented
149#10622451C2211yescharacteristic, complemented
150D11×C4⋊C8C2211yescharacteristic, complemented
151#10622431C2211yescharacteristic, complemented
152#10622429C2211yescharacteristic, complemented
153#10622427C2211yescharacteristic, complemented
154#10622427C2211yescharacteristic, complemented
155#10622425C2211yescharacteristic, complemented
156#10622425C2211yescharacteristic, complemented
157#10622424C2211yescharacteristic, complemented
158#10622424C2211yescharacteristic, complemented
159#10622419C2211yescharacteristic, complemented
160#10622417C2211yescharacteristic
161#10622417C2211yescharacteristic
162#10622417C2211yescharacteristic
163#10622417C2211yescharacteristic, complemented
164#10622417C2211yescharacteristic, complemented
165#10622417C2211yescharacteristic, complemented
166#10622417C2211yescharacteristic, complemented
167#10622416C2211yescharacteristic, complemented
168#10622416C2211yescharacteristic, complemented
169#10622416C2211yescharacteristic, complemented
170#10622416C2211yescharacteristic, complemented
171#10622415C2211yescharacteristic, complemented
172#10622415C2211yescharacteristic, complemented
173#10622407C2211yescharacteristic, complemented
174#10622405C2211yescharacteristic, complemented
175#10622405C2211yescharacteristic, complemented
176#10622404C2211yescharacteristic, complemented
177#10622401C2211yescharacteristic, complemented
178#10622401C2211yescharacteristic, complemented
179#10622399C2211yescharacteristic, complemented
180#10622395C2211yescharacteristic, complemented
181#10622390C2211yescharacteristic, complemented
182#10622387C2211yescharacteristic, complemented
183#10622386C2211yescharacteristic, complemented
184#10622385C2211yescharacteristic, complemented
185#10622385C2211yescharacteristic, complemented
186#10622385C2211yescharacteristic, complemented
187#10622383C2211yescharacteristic, complemented
188#10622383C2211yescharacteristic, complemented
189#10622373C2211yescharacteristic, complemented
190#10622373C2211yescharacteristic, complemented
191#10622349C2211yescharacteristic, complemented
192#10622347C2211yescharacteristic, complemented
193#10622345C2211yescharacteristic, complemented
194#10622342C2211yescharacteristic
195#10622342C2211yescharacteristic, complemented
196D11×C22⋊C8C2211yescharacteristic, complemented
197D11×C22⋊C8C2211yescharacteristic, complemented
198#10622336C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200C4×D88C2211yescharacteristic, complemented
201#10622301C2211yescharacteristic, complemented
202C4×C8×D11C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205#41×D11—24no—
206#41×D11—42no—
207C2×#4343—21no—
208C2×#4343—21no—
209C2×#4343—24no—
210C2×#4343—42no—
211C2×#4343C2311yescharacteristic
212C2×#4343C2311yescharacteristic
213C2×#4343C2311yescharacteristic
214C2×#4343C2311yescharacteristic
215C2×#4343C2311yescharacteristic
216C2×Q8×D11C2311yescharacteristic
217C2×#4341—21no—
218C2×#4341C2311yescharacteristic
219C2×D4×D11—21no—
220C2×D4×D11—21no—
221C2×D4×D11D411yescharacteristic
222C2×D4×D11C2311yescharacteristic
223C2×#4339—21no—
224C2×#4339—21no—
225C2×#4339C2311yescharacteristic
226C22×D44—21no—
227C22×D44C2311yescharacteristic
228C22×C4×D11—21no—
229C22×C4×D11—21no—
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C2×C11×Q16C2311yescharacteristic
233C2×C11×Q16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C2×C11×M16C2311yescharacteristic
236C2×C11×M16C2311yescharacteristic
237C11×#126—21no—
238C11×#125—21no—
239C11×#125C2311yescharacteristic
240C11×#124—21no—
241C11×#124C2311yescharacteristic
242C11×#123—21no—
243C11×C22⋊Q8—21no—
244C11×C22⋊Q8C2311yescharacteristic
245C11×C22⋊Q8C2311yescharacteristic
246C11×C22⋊Q8C2311yescharacteristic
247C11×#121—21no—
248C11×#121C2311yescharacteristic
249C4×Q8×C11C2311yescharacteristic
250C4×Q8×C11C2311yescharacteristic
251C4×D4×C11—21no—
252C4×D4×C11C2311yescharacteristic
253C11×#117—21no—
254C11×#117C2311yescharacteristic
255C2×C11×C4⋊C4C2311yescharacteristic
256#66999—21no—
257#66999C2311yescharacteristic
258#66999C2311yescharacteristic
259#66999C2311yescharacteristic
260Q8×Dic11C2311yescharacteristic
261Q8×Dic11C2311yescharacteristic
262#66997—21no—
263#66997C2311yescharacteristic
264C2×#4326C2311yescharacteristic
265C2×#4325C2311yescharacteristic
266C2×#4325C2311yescharacteristic
267C2×#4325C2311yescharacteristic
268C2×#4325C2311yescharacteristic
269#66993—21no—
270#66993C2311yescharacteristic
271#66992—21no—
272#66991—21no—
273#66991C2311yescharacteristic
274#66990—21no—
275#66990—21no—
276#66990—21no—
277D4×Dic11—21no—
278D4×Dic11D411yescharacteristic
279C2×#4323C2311yescharacteristic
280#66983—21no—
281#66983C2311yescharacteristic
282#66983C2311yescharacteristic
283#66983C2311yescharacteristic
284#66982—21no—
285C4×C22⋊D11—21no—
286C4×C22⋊D11—21no—
287C4×C22⋊D11C2311yescharacteristic
288C4×C22⋊D11C2311yescharacteristic
289C2×(C2×D11)⋊C4—21no—
290#66979C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292#66977—21no—
293#66977C2311yescharacteristic
294C2×C4×Dic11—21no—
295C2×#4318C2311yescharacteristic
296C2×#4318C2311yescharacteristic
297#66972—24no—
298#66972—42no—
299#66969—42no—
300M16×D11—42no—
301M16×D11—42no—
302C2×D88C2311yescharacteristic
303C2×D88C2311yescharacteristic
304C2×#4314C2311yescharacteristic
305C2×#4313C2311yescharacteristic
306C2×#4313C2311yescharacteristic
307C2×#4313C2311yescharacteristic
308C2×#4313C2311yescharacteristic
309C2×C8×D11C2311yescharacteristic
310C2×C8×D11C2311yescharacteristic
311C2×C8×D11C2311yescharacteristic
312C2×C8×D11C2311yescharacteristic
313#66951—21no—
314#66951—21no—
315#66951—21no—
316#66950—21no—
317#66950—21no—
318#66950C2311yescharacteristic
319#66949—21no—
320#66949—21no—
321#66949—21no—
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#66947—21no—
332#66947—21no—
333#66947—21no—
334#66947—21no—
335#66946—21no—
336#66946—21no—
337#66946—21no—
338#66946—21no—
339#66946—21no—
340#66946—21no—
341#66946D411yescharacteristic
342#66946C2311yescharacteristic
343#66946C2311yescharacteristic
344#66945—21no—
345#66945—21no—
346#66945—21no—
347#66945—21no—
348#66945C2311yescharacteristic
349#66945C2311yescharacteristic
350#66945C2311yescharacteristic
351#66945C2311yescharacteristic
352#66945C2311yescharacteristic
353#66945C2311yescharacteristic
354C4⋊C4×D11—21no—
355C4⋊C4×D11D411yescharacteristic
356C4⋊C4×D11C2311yescharacteristic
357C4⋊C4×D11C2311yescharacteristic
358#66942—21no—
359#66942—21no—
360#66941C2311yescharacteristic
361#66941C2311yescharacteristic
362#66940—21no—
363#66940—21no—
364#66940—21no—
365#66938—21no—
366#66938—21no—
367#66937—21no—
368#66937—21no—
369#66937—21no—
370#66937—21no—
371#66937—21no—
372#66937—21no—
373#66937—21no—
374#66936—21no—
375#66936—21no—
376#66936—21no—
377#66936—21no—
378#66935—21no—
379#66935—21no—
380#66935—21no—
381#66935—21no—
382#66935—21no—
383(C22⋊D11)⋊C4—21no—
384(C22⋊D11)⋊C4—21no—
385(C22⋊D11)⋊C4—21no—
386(C22⋊D11)⋊C4—21no—
387(C22⋊D11)⋊C4—21no—
388(C22⋊D11)⋊C4—21no—
389(C22⋊D11)⋊C4—21no—
390(C22⋊D11)⋊C4—21no—
391(C22⋊D11)⋊C4D411yescharacteristic
392(C22⋊D11)⋊C4D411yescharacteristic
393C22⋊C4×D11—21no—
394C22⋊C4×D11—21no—
395C22⋊C4×D11—21no—
396C22⋊C4×D11D411yescharacteristic
397C22⋊C4×D11D411yescharacteristic
398#66932—21no—
399#66931—21no—
400#66930—21no—
401#66929—21no—
402#66928—21no—
403#66928—21no—
404#66928C2311yescharacteristic
405C4×D44—21no—
406C4×D44—21no—
407C4×D44—21no—
408C4×D44C2311yescharacteristic
409C4×D44C2311yescharacteristic
410C4×D44C2311yescharacteristic
411#66925—21no—
412#66925—21no—
413#66925—21no—
414C42×D11—21no—
415C42×D11—21no—
416C42×D11—21no—
417C42×D11C2311yescharacteristic
418#66923C2311yescharacteristic
419C11×#107C2311yescharacteristic
420C11×#107C2311yescharacteristic
421C11×#106C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#103C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C4×C8×C11C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66899C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452#66885C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459#66882C2311yescharacteristic
460#66882C2311yescharacteristic
461#66881C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66880C2311yescharacteristic
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467C8×Dic11C2311yescharacteristic
468C8×Dic11C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66872C2311yescharacteristic
482#66872C2311yescharacteristic
483#66871C2311yescharacteristic
484#66871C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486C4×C11⋊C8C2311yescharacteristic
487#61154—111nomaximal, Sylow
488C23×D11—21no—
489C23×D11—21no—
490C23×D11C2×D411yescharacteristic
491C23×D11C2×D411yescharacteristic
492C11×#41—22no—
493C11×#41—41no—
494C2×Q8×C11—21no—
495C2×Q8×C11—22no—
496C2×Q8×C11—41no—
497C2×Q8×C11C2411yescharacteristic
498C2×Q8×C11C2411yescharacteristic
499C2×Q8×C11C2411yescharacteristic
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11C2×D411yescharacteristic
503C2×D4×C11C2411yescharacteristic
504C22×C4×C11—21no—
505C22×C4×C11—21no—
506C22×C4×C11—21no—
507C22×C4×C11C2411yescharacteristic
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⋊D11C2×D411yescharacteristic
519C2×C22⋊D11C2×D411yescharacteristic
520C22×Dic11—21no—
521C22×Dic11—21no—
522C22×Dic11C2×D411yescharacteristic
523C22×Dic11C2×D411yescharacteristic
524#4343—22no—
525#4343—22no—
526#4343—22no—
527#4343—22no—
528#4343—22no—
529#4343—22no—
530#4343—22no—
531#4343—41no—
532#4343—41no—
533#4343—44no—
534#4343—44no—
535#4343#4114yescomplemented
536Q8×D11—22no—
537Q8×D11—41no—
538#4341—22no—
539#4341—22no—
540#4341—44no—
541D4×D11—22no—
542D4×D11—41no—
543D4×D11—44no—
544D4×D11—42no—
545D4×D11—44no—
546#4339—22no—
547#4339—41no—
548#4339—44no—
549#4339—44no—
550C2×D44—21no—
551C2×D44—21no—
552C2×D44—21no—
553C2×D44—21no—
554C2×D44—21no—
555C2×D44—21no—
556C2×D44—21no—
557C2×D44—21no—
558C2×D44—22no—
559C2×D44—21no—
560C2×D44—41no—
561C2×D44—44no—
562C2×D44C2×D411yescharacteristic
563C2×D44C2411yescharacteristic
564C2×D44C2411yescharacteristic
565C2×D44C2411yescharacteristic
566C2×C4×D11—21no—
567C2×C4×D11—22no—
568C2×C4×D11—22no—
569C2×C4×D11—22no—
570C2×C4×D11—22no—
571C2×C4×D11—21no—
572C2×C4×D11—21no—
573C2×C4×D11—21no—
574C2×C4×D11—21no—
575C2×C4×D11—21no—
576C2×C4×D11—21no—
577C2×C4×D11—21no—
578C2×C4×D11—21no—
579C2×C4×D11—21no—
580C2×C4×D11—21no—
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—44no—
584C2×C4×D11—44no—
585C2×C4×D11C2×D411yescharacteristic
586C2×C4×D11C2×D411yescharacteristic
587C2×C4×D11C2×D411yescharacteristic
588C2×C4×D11C2×D411yescharacteristic
589C2×C4×D11C2×D411yescharacteristic
590C2×C4×D11C2×D411yescharacteristic
591C2×C4×D11C2411yescharacteristic
592C2×C4×D11C2411yescharacteristic
593C2×C4×D11C2411yescharacteristic
594C2×Dic22—21no—
595C2×Dic22—21no—
596C2×Dic22—21no—
597C2×Dic22C2411yescharacteristic
598C11×Q16—22no—
599C11×Q16—41no—
600C11×SD16—41no—
601C11×M16—41no—
602C11×M16—41no—
603C2×C8×C11C2411yescharacteristic
604C2×C8×C11C2411yescharacteristic
605C2×C8×C11C2411yescharacteristic
606C2×C8×C11C2411yescharacteristic
607C11×C4⋊C4—21no—
608C11×C4⋊C4—21no—
609C11×C4⋊C4—21no—
610C11×C4⋊C4—21no—
611C11×C4⋊C4—21no—
612C11×C4⋊C4—21no—
613C11×C4⋊C4—21no—
614C11×C4⋊C4—21no—
615C11×C4⋊C4C2×D411yescharacteristic
616C11×C4⋊C4C2411yescharacteristic
617C11×C4⋊C4C2411yescharacteristic
618C11×C4⋊C4C2411yescharacteristic
619C11×C4⋊C4C2411yescharacteristic
620C11×C22⋊C4—21no—
621C11×C22⋊C4—21no—
622C11×C22⋊C4—21no—
623C11×C22⋊C4—21no—
624C11×C22⋊C4—21no—
625C11×C22⋊C4—21no—
626C11×C22⋊C4—21no—
627C11×C22⋊C4C2×D411yescharacteristic
628C11×C22⋊C4C2×D411yescharacteristic
629C42×C11—21no—
630C42×C11—21no—
631C42×C11—21no—
632C42×C11C2411yescharacteristic
633C22⋊Dic11—21no—
634C22⋊Dic11—21no—
635C22⋊Dic11—21no—
636C22⋊Dic11C2×D411yescharacteristic
637C22⋊Dic11C2×D411yescharacteristic
638#4326—41no—
639#4325—22no—
640#4325—22no—
641#4325—41no—
642#4325—41no—
643#4323—41no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4—21no—
648(C2×D11)⋊C4—21no—
649(C2×D11)⋊C4—21no—
650(C2×D11)⋊C4—21no—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4C2×D411yescharacteristic
667(C2×D11)⋊C4C2×D411yescharacteristic
668(C2×D11)⋊C4C2×D411yescharacteristic
669(C2×D11)⋊C4C2×D411yescharacteristic
670C4⋊Dic11—21no—
671C4⋊Dic11—21no—
672C4⋊Dic11—21no—
673C4⋊Dic11—21no—
674C4⋊Dic11C2×D411yescharacteristic
675C4⋊Dic11C2411yescharacteristic
676C4⋊Dic11C2411yescharacteristic
677C4⋊Dic11C2411yescharacteristic
678C4⋊Dic11C2411yescharacteristic
679Dic11⋊C4—21no—
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682Dic11⋊C4—21no—
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4C2×D411yescharacteristic
692Dic11⋊C4C2×D411yescharacteristic
693C4×Dic11—21no—
694C4×Dic11—21no—
695C4×Dic11—21no—
696C4×Dic11—21no—
697C4×Dic11—21no—
698C4×Dic11—21no—
699C4×Dic11—21no—
700C4×Dic11—21no—
701C4×Dic11—21no—
702C4×Dic11C2×D411yescharacteristic
703C4×Dic11C2×D411yescharacteristic
704C4×Dic11C2411yescharacteristic
705#4318—41no—
706#4318—41no—
707C2×C11⋊C8C2411yescharacteristic
708C2×C11⋊C8C2411yescharacteristic
709C2×C11⋊C8C2411yescharacteristic
710C2×C11⋊C8C2411yescharacteristic
711D88—22no—
712D88—41no—
713#4314—41no—
714#4313—41no—
715#4313—41no—
716#4313—41no—
717#4313—41no—
718C8×D11—22no—
719C8×D11—22no—
720C8×D11—22no—
721C8×D11—22no—
722#3475—111no—
723D4×#41—111no—
724#3333—111no—
725#3332—111no—
726#3331—111no—
727#3330—111no—
728#3329—111no—
729#3328—111no—
730#3327—111no—
731#3327D1111yescharacteristic, complemented
732#3326—111no—
733#3326—111no—
734#3325—111no—
735#3324—111no—
736#3323—111no—
737#3323—111no—
738#3322—111no—
739#3322—111no—
740#3131—111no—
741#3091—111no—
742#3091—111no—
743#3076—111no—
744#3054—111no—
745#3054—111no—
746#3035—111no—
747#3002—111no—
748#3002—111no—
749C4×#135—111no—
750C2×#436—111no—
751#2896—111no—
752#2896—111no—
753C23×C11—21no—
754C23×C11C22×D411yescharacteristic
755C23×C11C22×D411yescharacteristic
756C22×D11—21no—
757C22×D11—22no—
758C22×D11—22no—
759C22×D11—21no—
760C22×D11—21no—
761C22×D11—41no—
762C22×D11—41no—
763C22×D11—41no—
764C22×D11—41no—
765C22×D11—42no—
766C22×D11—42no—
767C22×D11—42no—
768C22×D11—42no—
769C22×D11—81no—
770C22×D11—81no—
771C22×D11C22×D411yescharacteristic
772C22×D11C22×D411yescharacteristic
773C22×D11C22×D411yescharacteristic
774Q8×C11—21no—
775Q8×C11—21no—
776Q8×C11—21no—
777Q8×C11—21no—
778Q8×C11—21no—
779Q8×C11—42no—
780Q8×C11C2×#4112yes—
781D4×C11—21no—
782D4×C11—21no—
783D4×C11—41no—
784D4×C11—42no—
785D4×C11—42no—
786C2×C4×C11—21no—
787C2×C4×C11—21no—
788C2×C4×C11—21no—
789C2×C4×C11—21no—
790C2×C4×C11—21no—
791C2×C4×C11—21no—
792C2×C4×C11—21no—
793C2×C4×C11—21no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—42no—
798C2×C4×C11—42no—
799C2×C4×C11—42no—
800C2×C4×C11C22×D411yescharacteristic
801C2×C4×C11C22×D411yescharacteristic
802C2×C4×C11C22×D411yescharacteristic
803C2×C4×C11C22×D411yescharacteristic
804C2×C4×C11C2511yescharacteristic
805C22⋊D11—22no—
806C22⋊D11—22no—
807C22⋊D11—42no—
808C22⋊D11—42no—
809C22⋊D11—42no—
810C22⋊D11—42no—
811C22⋊D11—42no—
812C22⋊D11—81no—
813C22⋊D11—81no—
814C22⋊D11—81no—
815C22⋊D11—81no—
816C2×Dic11—22no—
817C2×Dic11—22no—
818C2×Dic11—21no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—21no—
822C2×Dic11—21no—
823C2×Dic11—42no—
824C2×Dic11—81no—
825C2×Dic11C22×D411yescharacteristic
826C2×Dic11C22×D411yescharacteristic
827C2×Dic11C22×D411yescharacteristic
828C2×Dic11C22×D411yescharacteristic
829C2×Dic11C22×D411yescharacteristic
830D44—24no—
831D44—21no—
832D44—21no—
833D44—21no—
834D44—21no—
835D44—21no—
836D44—41no—
837D44—42no—
838D44—42no—
839D44—42no—
840D44—42no—
841D44—42no—
842D44—42no—
843D44—42no—
844D44—81no—
845D44C2×#4112yes—
846C4×D11—22no—
847C4×D11—22no—
848C4×D11—21no—
849C4×D11—21no—
850C4×D11—21no—
851C4×D11—21no—
852C4×D11—22no—
853C4×D11—22no—
854C4×D11—24no—
855C4×D11—22no—
856C4×D11—41no—
857C4×D11—42no—
858C4×D11—42no—
859C4×D11—42no—
860C4×D11—42no—
861C4×D11—42no—
862C4×D11—42no—
863C4×D11—42no—
864C4×D11—42no—
865C4×D11—42no—
866C4×D11—81no—
867C4×D11—81no—
868C4×D11—81no—
869C4×D11C2×#4112yes—
870C4×D11H(5,𝔽2)12yes—
871Dic22—21no—
872Dic22—21no—
873Dic22—42no—
874Dic22—42no—
875Dic22—81no—
876C8×C11—21no—
877C8×C11—21no—
878C8×C11—21no—
879C8×C11—21no—
880C11⋊C8—21no—
881C11⋊C8—21no—
882C11⋊C8—21no—
883C11⋊C8—21no—
884C22×#41—111no—
885C22×#41—111no—
886C2×#135—111no—
887C2×#135—111no—
888C2×#135—111no—
889C22×M16—111no—
890C22×M16—111no—
891#556—111no—
892#555—111no—
893#554—111no—
894#553—111no—
895#553—111no—
896#552—111no—
897#552—221no—
898#552C2×D1111yescharacteristic, complemented
899#551—221no—
900#551—221no—
901#550—111no—
902D4×Q8—111no—
903#548—111no—
904#548C2×D1111yescharacteristic
905#547—111no—
906#547—111no—
907#547—221no—
908#546—111no—
909#546—111no—
910#546—221no—
911#546—221no—
912#546—221no—
913D42—111no—
914D42—221no—
915#533—111no—
916#532—111no—
917#532—221no—
918#529—221no—
919#529—221no—
920#529—221no—
921#525—111no—
922#525—111no—
923#525—111no—
924#525—111no—
925#525—221no—
926#525—221no—
927C4×#41—111no—
928C4×#41—111no—
929C4×#41—221no—
930C2×C4×D4—111no—
931C2×C4×D4—221no—
932C2×#117—111no—
933C2×#117—111no—
934#488—111no—
935#488—111no—
936#488—111no—
937#488C2×D1111yescharacteristic, complemented
938#487—111no—
939#487—111no—
940#486—111no—
941#486—111no—
942#485—111no—
943#485—111no—
944#485—111no—
945#485—111no—
946#484—111no—
947#484C2×D1111yescharacteristic, complemented
948#483—111no—
949#483—111no—
950#482—111no—
951#482—111no—
952#482—111no—
953#482C2×D1111yescharacteristic, complemented
954#481—111no—
955#481—111no—
956#480—111no—
957#480—111no—
958#479—111no—
959#479C2×D1111yescharacteristic, complemented
960#478—111no—
961#478—111no—
962#477—111no—
963#476—111no—
964#475—111no—
965#474—111no—
966#470—111no—
967#470—111no—
968#470—111no—
969#470C2×D1111yescharacteristic, complemented
970#469—111no—
971#469—111no—
972#469—111no—
973#469—111no—
974#468—111no—
975#468—111no—
976#468—111no—
977#468—111no—
978#468—111no—
979#468—111no—
980#468—111no—
981#468C2×D1111yescharacteristic, complemented
982#464—111no—
983#464C2×D1111yescharacteristic, complemented
984#463—111no—
985#463—111no—
986#462—111no—
987#461—111no—
988#460—111no—
989#459—111no—
990#452—111no—
991#452—111no—
992#452—111no—
993#452C2×D1111yescharacteristic, complemented
994#451—111no—
995#451C2×D1111yescharacteristic, complemented
996#450—111no—
997#450—111no—
998#449—111no—
999#449—111no—
1000#449—111no—
1001#449—111no—
1002#448—111no—
1003#448—111no—
1004#447—111no—
1005#447—111no—
1006C4×Q16—111no—
1007C4×Q16C2×D1111yescharacteristic, complemented
1008C4×SD16—111no—
1009C4×SD16—111no—
1010C4×SD16—111no—
1011C4×SD16—111no—
1012C4×D8—111no—
1013C4×D8—111no—
1014#436—111no—
1015#436—111no—
1016#436—111no—
1017#436—111no—
1018#436—111no—
1019#436—111no—
1020#436—111no—
1021#436C2×D1111yescharacteristic, complemented
1022#427—111no—
1023#427—111no—
1024#427—111no—
1025C2×C4⋊C8—111no—
1026#419—111no—
1027#419—111no—
1028#419—111no—
1029#419C2×D1111yescharacteristic, complemented
1030#418—111no—
1031#418—111no—
1032#418—111no—
1033#418—111no—
1034#417—111no—
1035#417—111no—
1036#417—111no—
1037#417—111no—
1038#417—111no—
1039#417—111no—
1040#417—111no—
1041#417C2×D1111yescharacteristic, complemented
1042#416—111no—
1043#416—111no—
1044#416—111no—
1045#416—111no—
1046#416—111no—
1047#416—111no—
1048#416—111no—
1049#416—111no—
1050#416—111no—
1051#416—111no—
1052C2×C22⋊C8—111no—
1053C2×C22⋊C8—111no—
1054C2×C4×C8—111no—
1055C22×C11—21no—
1056C22×C11—21no—
1057C22×C11—21no—
1058C22×C11—21no—
1059C22×C11—21no—
1060C22×C11—21no—
1061C22×C11—41no—
1062C22×C11—41no—
1063C22×C11—41no—
1064C22×C11C23×D411yescharacteristic
1065C2×D11—21no—
1066C2×D11—21no—
1067C2×D11—21no—
1068C2×D11—21no—
1069C2×D11—21no—
1070C2×D11—21no—
1071C2×D11—22no—
1072C2×D11—21no—
1073C2×D11—21no—
1074C2×D11—41no—
1075C2×D11—41no—
1076C2×D11—41no—
1077C2×D11—41no—
1078C2×D11—41no—
1079C2×D11—41no—
1080C2×D11—41no—
1081C2×D11—41no—
1082C2×D11—82no—
1083C2×D11—82no—
1084C2×D11—84no—
1085C2×D11—84no—
1086C2×D11#54612yes—
1087C4×C11—21no—
1088C4×C11—21no—
1089C4×C11—21no—
1090C4×C11—22no—
1091C4×C11—21no—
1092C4×C11—41no—
1093C4×C11—41no—
1094C4×C11—41no—
1095C4×C11—41no—
1096C4×C11—41no—
1097C4×C11—41no—
1098C4×C11C22×#4111yescharacteristic
1099C4×C11C2×H(5,𝔽2)11yescharacteristic
1100Dic11—21no—
1101Dic11—21no—
1102Dic11—21no—
1103Dic11—41no—
1104Dic11—41no—
1105Dic11—41no—
1106Dic11—41no—
1107Dic11—41no—
1108Dic11#54612yes—
1109Dic11#57512yes—
1110C2×#41—111no—
1111C2×#41—111no—
1112C2×#41—111no—
1113C2×#41—111no—
1114C2×#41—111no—
1115C2×#41—111no—
1116C2×#41—111no—
1117C2×#41—221no—
1118C2×#41—221no—
1119C2×#41—221no—
1120C2×#41—221no—
1121C2×#41—221no—
1122C2×#41—224no—
1123C2×#41—224no—
1124C2×#41—442no—
1125C2×#41—442no—
1126C2×#41C22×D1111yescharacteristic
1127C22×Q8—111no—
1128C22×Q8C22×D1111yescharacteristic
1129C22×D4—111no—
1130C22×D4—111no—
1131C22×D4—111no—
1132C22×D4—221no—
1133C22×D4—221no—
1134C22×D4—221no—
1135C23×C4—111no—
1136C23×C4—111no—
1137C23×C4—221no—
1138C23×C4—221no—
1139#135—224no—
1140#135—442no—
1141#135—442no—
1142C2×Q16—111no—
1143C2×Q16C22×D1111yescharacteristic
1144C2×Q16C22×D1111yescharacteristic
1145C2×SD16—111no—
1146C2×SD16—111no—
1147C2×SD16—111no—
1148C2×SD16—111no—
1149C2×SD16—111no—
1150C2×SD16C22×D1111yescharacteristic
1151C2×D8—111no—
1152C2×D8—111no—
1153C2×D8—111no—
1154C2×M16—111no—
1155C2×M16—111no—
1156C2×M16—111no—
1157C2×M16—111no—
1158C2×M16—111no—
1159C2×M16—111no—
1160C2×M16—442no—
1161C2×M16—442no—
1162C2×M16C22×D1111yescharacteristic
1163C2×M16C22×D1111yescharacteristic
1164C22×C8—111no—
1165C22×C8—111no—
1166C22×C8—111no—
1167C22×C8—111no—
1168C4⋊Q8—111no—
1169C4⋊Q8—111no—
1170C4⋊Q8—111no—
1171C4⋊Q8—221no—
1172#127—111no—
1173#127—221no—
1174#126—21no—
1175#126—221no—
1176#126—221no—
1177#126—221no—
1178#126—221no—
1179#126—221no—
1180#125—21no—
1181#125—111no—
1182#125—221no—
1183#125—221no—
1184#125C22×D1111yescharacteristic
1185#124—21no—
1186#124—111no—
1187#124—221no—
1188#124—221no—
1189#124—221no—
1190#124—221no—
1191#124C22×D1111yescharacteristic
1192#123—21no—
1193#123—221no—
1194#123—221no—
1195#123—221no—
1196#123—221no—
1197#123—221no—
1198#123—221no—
1199#123—221no—
1200#123—221no—
1201#123—221no—
1202#123—221no—
1203#123—221no—
1204#123—221no—
1205#123—221no—
1206C22⋊Q8—21no—
1207C22⋊Q8—111no—
1208C22⋊Q8—111no—
1209C22⋊Q8—111no—
1210C22⋊Q8—111no—
1211C22⋊Q8—111no—
1212C22⋊Q8—221no—
1213C22⋊Q8—221no—
1214C22⋊Q8—221no—
1215C22⋊Q8—221no—
1216C22⋊Q8—221no—
1217C22⋊Q8—221no—
1218C22⋊Q8—221no—
1219C22⋊Q8—221no—
1220C22⋊Q8C22×D1111yescharacteristic
1221C22⋊Q8C22×D1111yescharacteristic
1222C22⋊Q8C22×D1111yescharacteristic
1223#121—21no—
1224#121—111no—
1225#121—111no—
1226#121—111no—
1227#121—111no—
1228#121—111no—
1229#121—111no—
1230#121—111no—
1231#121—221no—
1232#121—221no—
1233#121—221no—
1234#121—221no—
1235#121—221no—
1236#121—221no—
1237#121—221no—
1238#121—221no—
1239#121—221no—
1240#121—221no—
1241#121—221no—
1242#121—221no—
1243#121C22×D1111yescharacteristic
1244#120—221no—
1245#120—221no—
1246#120—221no—
1247#120—221no—
1248#120—221no—
1249#120—221no—
1250#120—221no—
1251#120—221no—
1252C4×Q8—111no—
1253C4×Q8—111no—
1254C4×Q8—221no—
1255C4×Q8—221no—
1256C4×Q8—221no—
1257C4×Q8C22×D1111yescharacteristic
1258C4×Q8C22×D1111yescharacteristic
1259C4×D4—21no—
1260C4×D4—111no—
1261C4×D4—111no—
1262C4×D4—111no—
1263C4×D4—111no—
1264C4×D4—111no—
1265C4×D4—111no—
1266C4×D4—111no—
1267C4×D4—111no—
1268C4×D4—111no—
1269C4×D4—111no—
1270C4×D4—111no—
1271C4×D4—221no—
1272C4×D4—221no—
1273C4×D4—221no—
1274C4×D4—221no—
1275C4×D4—221no—
1276C4×D4—221no—
1277C4×D4—221no—
1278C4×D4—221no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4—221no—
1282C4×D4—221no—
1283C4×D4—221no—
1284C4×D4—221no—
1285C4×D4—221no—
1286C4×D4—221no—
1287C4×D4—221no—
1288C4×D4—221no—
1289C4×D4—221no—
1290C4×D4—221no—
1291C4×D4C22×D1111yescharacteristic
1292#117—21no—
1293#117—111no—
1294#117—111no—
1295#117—111no—
1296#117—111no—
1297#117—111no—
1298#117—111no—
1299#117—111no—
1300#117—221no—
1301#117—221no—
1302#117—221no—
1303#117—221no—
1304#117—221no—
1305#117—221no—
1306#117—221no—
1307#117—221no—
1308#117C22×D1111yescharacteristic
1309C2×C4⋊C4—111no—
1310C2×C4⋊C4—111no—
1311C2×C4⋊C4—111no—
1312C2×C4⋊C4—111no—
1313C2×C4⋊C4—221no—
1314C2×C4⋊C4C22×D1111yescharacteristic
1315C2×C22⋊C4—111no—
1316C2×C22⋊C4—111no—
1317C2×C22⋊C4—221no—
1318C2×C22⋊C4—221no—
1319C2×C22⋊C4—221no—
1320C2×C22⋊C4—221no—
1321C2×C42—111no—
1322C2×C42—221no—
1323C2×C42—221no—
1324C2×C42—221no—
1325C2×C42—221no—
1326#107—111no—
1327#107—111no—
1328#107—111no—
1329#107—111no—
1330#107C22×D1111yescharacteristic
1331#107C22×D1111yescharacteristic
1332#106—111no—
1333#106—111no—
1334#106—111no—
1335#106—111no—
1336#106—111no—
1337#106C22×D1111yescharacteristic
1338C4⋊C8—111no—
1339C4⋊C8—111no—
1340C4⋊C8—111no—
1341C4⋊C8C22×D1111yescharacteristic
1342#103—111no—
1343#103—111no—
1344#103—111no—
1345#103—111no—
1346#103—111no—
1347#103—111no—
1348#103—111no—
1349#103—111no—
1350#103—111no—
1351#103—111no—
1352#103—111no—
1353#103—111no—
1354#103—111no—
1355#103C22×D1111yescharacteristic
1356#103C22×D1111yescharacteristic
1357#103C22×D1111yescharacteristic
1358#103C22×D1111yescharacteristic
1359#103C22×D1111yescharacteristic
1360#103C22×D1111yescharacteristic
1361#103C22×D1111yescharacteristic
1362#102—111no—
1363#102—111no—
1364#102—111no—
1365#102—111no—
1366#102—111no—
1367#102—111no—
1368#102—111no—
1369#102—111no—
1370#102—111no—
1371#102—111no—
1372#102—111no—
1373#102—111no—
1374#102—111no—
1375#102—111no—
1376#102—111no—
1377#102—111no—
1378#102—111no—
1379#102C22×D1111yescharacteristic
1380#102C22×D1111yescharacteristic
1381#102C22×D1111yescharacteristic
1382C22⋊C8—111no—
1383C22⋊C8—111no—
1384C22⋊C8—111no—
1385C22⋊C8—111no—
1386C22⋊C8—111no—
1387C22⋊C8—111no—
1388C22⋊C8C22×D1111yescharacteristic
1389C22⋊C8C22×D1111yescharacteristic
1390C4×C8—111no—
1391C4×C8—111no—
1392C4×C8—111no—
1393C4×C8C22×D1111yescharacteristic
1394C2×C11—41no—
1395C2×C11—41no—
1396C2×C11—81no—
1397C2×C11C2×#54611yescharacteristic
1398C2×C11C2×#57511yescharacteristic
1399C2×C11#358411yescharacteristic
1400D11—22no—
1401D11—41no—
1402D11—41no—
1403D11—42no—
1404D11—81no—
1405D11—81no—
1406C24—111no—
1407C24—111no—
1408C24—221no—
1409C24—221no—
1410#41—22no—
1411#41—41no—
1412#41—114no—
1413#41—222no—
1414#41—222no—
1415#41—222no—
1416#41—222no—
1417#41—222no—
1418#41—222no—
1419#41—222no—
1420#41—222no—
1421#41—222no—
1422#41—222no—
1423#41—441no—
1424#41—444no—
1425#41—444no—
1426#41—444no—
1427#41—444no—
1428#41—441no—
1429#41—441no—
1430#41—444no—
1431C2×Q8—21no—
1432C2×Q8—22no—
1433C2×Q8—41no—
1434C2×Q8—111no—
1435C2×Q8—221no—
1436C2×Q8—221no—
1437C2×Q8—221no—
1438C2×Q8—222no—
1439C2×Q8—441no—
1440C2×Q8C23×D1111yescharacteristic
1441C2×Q8C23×D1111yescharacteristic
1442C2×Q8C23×D1111yescharacteristic
1443C2×D4—21no—
1444C2×D4—21no—
1445C2×D4—111no—
1446C2×D4—111no—
1447C2×D4—111no—
1448C2×D4—111no—
1449C2×D4—111no—
1450C2×D4—111no—
1451C2×D4—222no—
1452C2×D4—221no—
1453C2×D4—221no—
1454C2×D4—221no—
1455C2×D4—221no—
1456C2×D4—221no—
1457C2×D4—221no—
1458C2×D4—221no—
1459C2×D4—221no—
1460C2×D4—221no—
1461C2×D4—221no—
1462C2×D4—221no—
1463C2×D4—222no—
1464C2×D4—221no—
1465C2×D4—221no—
1466C2×D4—221no—
1467C2×D4—221no—
1468C2×D4—221no—
1469C2×D4—221no—
1470C2×D4—221no—
1471C2×D4—441no—
1472C2×D4—444no—
1473C2×D4—441no—
1474C2×D4—442no—
1475C2×D4—444no—
1476C2×D4—444no—
1477C2×D4D4×D1111yescharacteristic
1478C2×D4C23×D1111yescharacteristic
1479C22×C4—21no—
1480C22×C4—21no—
1481C22×C4—21no—
1482C22×C4—111no—
1483C22×C4—111no—
1484C22×C4—111no—
1485C22×C4—111no—
1486C22×C4—111no—
1487C22×C4—111no—
1488C22×C4—111no—
1489C22×C4—111no—
1490C22×C4—111no—
1491C22×C4—111no—
1492C22×C4—111no—
1493C22×C4—221no—
1494C22×C4—222no—
1495C22×C4—222no—
1496C22×C4—222no—
1497C22×C4—222no—
1498C22×C4—221no—
1499C22×C4—221no—
1500C22×C4—221no—
1501C22×C4—221no—
1502C22×C4—221no—
1503C22×C4—221no—
1504C22×C4—221no—
1505C22×C4—221no—
1506C22×C4—221no—
1507C22×C4—221no—
1508C22×C4—221no—
1509C22×C4—221no—
1510C22×C4—221no—
1511C22×C4—221no—
1512C22×C4—444no—
1513C22×C4—444no—
1514C22×C4C23×D1111yescharacteristic
1515C22×C4C23×D1111yescharacteristic
1516Q16—22no—
1517Q16—41no—
1518Q16—441no—
1519SD16—41no—
1520SD16—222no—
1521SD16—222no—
1522SD16—441no—
1523SD16—441no—
1524SD16—441no—
1525D8—222no—
1526D8—441no—
1527D8—441no—
1528M16—41no—
1529M16—41no—
1530M16—441no—
1531M16—441no—
1532M16—441no—
1533M16—441no—
1534M16—441no—
1535M16—441no—
1536C2×C8—111no—
1537C2×C8—111no—
1538C2×C8—111no—
1539C2×C8—111no—
1540C2×C8—222no—
1541C2×C8—222no—
1542C2×C8—222no—
1543C2×C8—222no—
1544C2×C8C23×D1111yescharacteristic
1545C2×C8C23×D1111yescharacteristic
1546C2×C8C23×D1111yescharacteristic
1547C2×C8C23×D1111yescharacteristic
1548C4⋊C4—21no—
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—111no—
1557C4⋊C4—111no—
1558C4⋊C4—111no—
1559C4⋊C4—111no—
1560C4⋊C4—111no—
1561C4⋊C4—111no—
1562C4⋊C4—111no—
1563C4⋊C4—221no—
1564C4⋊C4—221no—
1565C4⋊C4—221no—
1566C4⋊C4—221no—
1567C4⋊C4—221no—
1568C4⋊C4—221no—
1569C4⋊C4—221no—
1570C4⋊C4—221no—
1571C4⋊C4—221no—
1572C4⋊C4—221no—
1573C4⋊C4—221no—
1574C4⋊C4—221no—
1575C4⋊C4—221no—
1576C4⋊C4—221no—
1577C4⋊C4—221no—
1578C4⋊C4—221no—
1579C4⋊C4D4×D1111yescharacteristic
1580C4⋊C4C23×D1111yescharacteristic
1581C4⋊C4C23×D1111yescharacteristic
1582C4⋊C4C23×D1111yescharacteristic
1583C4⋊C4C23×D1111yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—111no—
1592C22⋊C4—111no—
1593C22⋊C4—111no—
1594C22⋊C4—111no—
1595C22⋊C4—111no—
1596C22⋊C4—111no—
1597C22⋊C4—221no—
1598C22⋊C4—221no—
1599C22⋊C4—221no—
1600C22⋊C4—221no—
1601C22⋊C4—221no—
1602C22⋊C4—221no—
1603C22⋊C4—221no—
1604C22⋊C4—221no—
1605C22⋊C4—221no—
1606C22⋊C4—221no—
1607C22⋊C4—221no—
1608C22⋊C4—221no—
1609C22⋊C4—221no—
1610C22⋊C4—221no—
1611C22⋊C4—221no—
1612C22⋊C4—221no—
1613C22⋊C4—221no—
1614C22⋊C4—221no—
1615C22⋊C4—221no—
1616C22⋊C4—221no—
1617C22⋊C4—221no—
1618C22⋊C4—221no—
1619C22⋊C4—221no—
1620C22⋊C4—221no—
1621C22⋊C4—221no—
1622C22⋊C4D4×D1111yescharacteristic
1623C22⋊C4D4×D1111yescharacteristic
1624C42—21no—
1625C42—21no—
1626C42—21no—
1627C42—111no—
1628C42—111no—
1629C42—111no—
1630C42—221no—
1631C42—221no—
1632C42—221no—
1633C42—221no—
1634C42—221no—
1635C42—221no—
1636C42—221no—
1637C42—221no—
1638C42—221no—
1639C42C23×D1111yescharacteristic
1640C11#6115411yescharacteristic, complemented, Sylow
1641C23—21no—
1642C23—111no—
1643C23—111no—
1644C23—111no—
1645C23—222no—
1646C23—222no—
1647C23—221no—
1648C23—221no—
1649C23—221no—
1650C23—441no—
1651C23—441no—
1652C23—441no—
1653C23—441no—
1654C23—442no—
1655C23—442no—
1656C23—442no—
1657C23—442no—
1658C23—881no—
1659C23—881no—
1660C23C2×D4×D1111yescharacteristic
1661C23C2×D4×D1111yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—42no—
1668Q8—221no—
1669Q8—221no—
1670Q8—442no—
1671Q8—442no—
1672Q8—881no—
1673Q8#41×D1112yes—
1674D4—21no—
1675D4—21no—
1676D4—41no—
1677D4—42no—
1678D4—42no—
1679D4—112no—
1680D4—224no—
1681D4—222no—
1682D4—222no—
1683D4—221no—
1684D4—221no—
1685D4—221no—
1686D4—221no—
1687D4—221no—
1688D4—441no—
1689D4—442no—
1690D4—442no—
1691D4—442no—
1692D4—442no—
1693D4—442no—
1694D4—442no—
1695D4—442no—
1696D4—442no—
1697D4—442no—
1698D4—442no—
1699D4—442no—
1700D4—442no—
1701D4—881no—
1702D4—881no—
1703D4—881no—
1704D4—881no—
1705D4—881no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—42no—
1718C2×C4—42no—
1719C2×C4—42no—
1720C2×C4—111no—
1721C2×C4—111no—
1722C2×C4—112no—
1723C2×C4—112no—
1724C2×C4—111no—
1725C2×C4—111no—
1726C2×C4—111no—
1727C2×C4—222no—
1728C2×C4—222no—
1729C2×C4—222no—
1730C2×C4—224no—
1731C2×C4—222no—
1732C2×C4—222no—
1733C2×C4—222no—
1734C2×C4—222no—
1735C2×C4—221no—
1736C2×C4—221no—
1737C2×C4—221no—
1738C2×C4—221no—
1739C2×C4—221no—
1740C2×C4—221no—
1741C2×C4—221no—
1742C2×C4—221no—
1743C2×C4—221no—
1744C2×C4—441no—
1745C2×C4—442no—
1746C2×C4—442no—
1747C2×C4—442no—
1748C2×C4—442no—
1749C2×C4—442no—
1750C2×C4—442no—
1751C2×C4—442no—
1752C2×C4—442no—
1753C2×C4—442no—
1754C2×C4—442no—
1755C2×C4—881no—
1756C2×C4—881no—
1757C2×C4—881no—
1758C2×C4—881no—
1759C2×C4C2×D4×D1111yescharacteristic
1760C2×C4C2×D4×D1111yescharacteristic
1761C2×C4C2×D4×D1111yescharacteristic
1762C2×C4C2×D4×D1111yescharacteristic
1763C2×C4C24×D1111yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—221no—
1769C8—221no—
1770C8—221no—
1771C8—221no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—112no—
1782C22—221no—
1783C22—221no—
1784C22—221no—
1785C22—221no—
1786C22—222no—
1787C22—221no—
1788C22—221no—
1789C22—221no—
1790C22—221no—
1791C22—441no—
1792C22—441no—
1793C22—441no—
1794C22—441no—
1795C22—441no—
1796C22—441no—
1797C22—441no—
1798C22—441no—
1799C22—882no—
1800C22—882no—
1801C22—884no—
1802C22—884no—
1803C22C22×D4×D1111yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—22no—
1807C4—21no—
1808C4—21no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—112no—
1816C4—112no—
1817C4—221no—
1818C4—221no—
1819C4—221no—
1820C4—441no—
1821C4—441no—
1822C4—441no—
1823C4—441no—
1824C4—441no—
1825C4C2×#41×D1111yescharacteristic
1826C4D11×H(5,𝔽2)11yescharacteristic
1827C2—41no—
1828C2—41no—
1829C2—81no—
1830C2—222no—
1831C2—441no—
1832C2—441no—
1833C2—442no—
1834C2—881no—
1835C2—881no—
1836C2D11×#54611yescharacteristic
1837C2D11×#57511yescharacteristic
1838C2#1308338611yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3327C2
socleC22×C11C23×D4
hypercenter#3327D11
hypocenterC11#61154
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3327

Complements

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

NH ≅ G/Ntype
1. #13082169C2semidirect
2. #13082105C2semidirect
3. #13080947C2semidirect
4. #13080939C2semidirect
5. #13080927C2semidirect
6. #13080919C2semidirect
7. #13080906C2semidirect
8. #13080892C2semidirect
9. #13080889C2semidirect
10. #13080869C2semidirect
11. #13080866C2semidirect
12. #13080856C2semidirect
13. #13080842C2semidirect
14. #13080839C2semidirect
15. #13080826C2semidirect
16. #13080819C2semidirect
17. #13080816C2semidirect
18. #13078937C2semidirect
19. #13078532C2semidirect
20. #13078528C2semidirect
21. #13078403C2semidirect
22. #13078227C2semidirect
23. #13078220C2semidirect
24. #13078070C2semidirect
25. #13077839C2semidirect
26. #13077837C2semidirect
27. C4×#66972C2semidirect
28. D11×#436C2semidirect
29. #13077134C2semidirect
30. #13077132C2semidirect
31. C11×#3327C2semidirect
34. C11×#552C22semidirect
39. C2×#66972C22semidirect
40. C2×#66969C22semidirect
41. C2×M16×D11C22semidirect
42. C2×M16×D11C22semidirect
45. #10623226C22semidirect
48. #10623219C22semidirect
56. #10623166C22semidirect
61. #10623158C22semidirect
62. #10623158C22semidirect
67. #10623112C22semidirect
70. C4×#4343C22semidirect
71. #10623096C22semidirect
79. D11×#117C22semidirect
80. #10623038C22semidirect
81. C2×#66945C22semidirect
82. C11×#488C22semidirect
83. C11×#484C22semidirect
84. C11×#482C22semidirect
85. C11×#479C22semidirect
86. C11×#470C22semidirect
87. C11×#468C22semidirect
88. C11×#464C22semidirect
89. C11×#452C22semidirect
90. C11×#451C22semidirect
91. C4×C11×Q16C22semidirect
92. C11×#436C22semidirect
93. C11×#419C22semidirect
94. C11×#417C22semidirect
95. #10622851C22semidirect
96. #10622845C22semidirect
97. #10622840C22semidirect
98. #10622838C22semidirect
99. #10622802C22semidirect
100. #10622800C22semidirect
101. #10622800C22semidirect
102. #10622799C22semidirect
103. Q16×Dic11C22semidirect
104. #10622795C22semidirect
105. #10622787C22semidirect
106. #10622782C22semidirect
107. #10622776C22semidirect
108. #10622748C22semidirect
109. #10622747C22semidirect
110. #10622746C22semidirect
111. #10622744C22semidirect
113. #10622741C22semidirect
114. #10622681C22semidirect
115. #10622679C22semidirect
116. #10622670C22semidirect
117. #10622669C22semidirect
118. #10622665C22semidirect
119. #10622662C22semidirect
120. #10622662C22semidirect
121. #10622660C22semidirect
122. #10622659C22semidirect
123. #10622656C22semidirect
124. #10622652C22semidirect
125. #10622648C22semidirect
126. #10622641C22semidirect
127. C4×#4325C22semidirect
128. C4×#4325C22semidirect
129. #10622635C22semidirect
130. #10622625C22semidirect
131. #10622614C22semidirect
132. #10622609C22semidirect
133. #10622581C22semidirect
134. #10622579C22semidirect
135. #10622503C22semidirect
136. #10622499C22semidirect
137. #10622498C22semidirect
138. #10622498C22semidirect
139. #10622497C22semidirect
140. #10622493C22semidirect
141. #10622493C22semidirect
142. #10622485C22semidirect
143. #10622483C22semidirect
144. #10622478C22semidirect
145. #10622475C22semidirect
146. #10622473C22semidirect
147. #10622460C22semidirect
148. #10622457C22semidirect
149. #10622451C22semidirect
150. D11×C4⋊C8C22semidirect
151. #10622431C22semidirect
152. #10622429C22semidirect
153. #10622427C22semidirect
154. #10622427C22semidirect
155. #10622425C22semidirect
156. #10622425C22semidirect
157. #10622424C22semidirect
158. #10622424C22semidirect
159. #10622419C22semidirect
163. #10622417C22semidirect
164. #10622417C22semidirect
165. #10622417C22semidirect
166. #10622417C22semidirect
167. #10622416C22semidirect
168. #10622416C22semidirect
169. #10622416C22semidirect
170. #10622416C22semidirect
171. #10622415C22semidirect
172. #10622415C22semidirect
173. #10622407C22semidirect
174. #10622405C22semidirect
175. #10622405C22semidirect
176. #10622404C22semidirect
177. #10622401C22semidirect
178. #10622401C22semidirect
179. #10622399C22semidirect
180. #10622395C22semidirect
181. #10622390C22semidirect
182. #10622387C22semidirect
183. #10622386C22semidirect
184. #10622385C22semidirect
185. #10622385C22semidirect
186. #10622385C22semidirect
187. #10622383C22semidirect
188. #10622383C22semidirect
189. #10622373C22semidirect
190. #10622373C22semidirect
191. #10622349C22semidirect
192. #10622347C22semidirect
193. #10622345C22semidirect
195. #10622342C22semidirect
196. D11×C22⋊C8C22semidirect
197. D11×C22⋊C8C22semidirect
198. #10622336C22semidirect
199. #10622310C22semidirect
200. C4×D88C22semidirect
201. #10622301C22semidirect
202. C4×C8×D11C22semidirect
535. #4343#41semidirect
731. #3327D11semidirect
898. #552C2×D11semidirect
937. #488C2×D11semidirect
947. #484C2×D11semidirect
953. #482C2×D11semidirect
959. #479C2×D11semidirect
969. #470C2×D11semidirect
981. #468C2×D11semidirect
983. #464C2×D11semidirect
993. #452C2×D11semidirect
995. #451C2×D11semidirect
1007. C4×Q16C2×D11semidirect
1021. #436C2×D11semidirect
1029. #419C2×D11semidirect
1041. #417C2×D11semidirect
1640. C11#61154semidirect

Maximal subgroups

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

subgroupindex
#130821692
#130821052
#130809472
#130809392
#130809272
#130809192
#130809062
#130808922
#130808892
#130808692
#130808662
#130808562
#130808422
#130808392
#130808262
#130808192
#130808162
#130789372
#130785322
#130785282
#130784032
#130782272
#130782202
#130780702
#130778392
#130778372
C4×#669722
D11×#4362
#130771342
#130771322
C11×#33272
#6115411